英语词汇“topology”造句子简单的方法、技巧、例句及翻译-英语例句辞典

Claytor’s dissertation topic, regarding point-set topology, delighted the Penn faculty and was acclaimed by the mathematical world as a significant advance in the field. Hidden Figures 2016-09-06T00:00:00Z

When Mr. Canin talks about Milo’s study of topology, a mathematical field that studies geometric properties and spatial relations between flexible objects, he could easily be describing his own work. ‘A Doubter’s Almanac,’ Ethan Canin’s Latest Novel, Has Real-Life Parallels 2016-02-15T05:00:00Z

“The early work had topology rather than surface, compression rather than form,” he writes; the later sculptures “had shifted from being made of cars to being made from cars.” Art Review: ?John Chamberlain: Choices? at Guggenheim Museum 2012-02-23T23:23:12Z

The subtle and often contradictory associations carried by specific tunes – what the good people in the mood-music industry call its "topology" – are deeply subjective. Soundtracks of my tears: how movie music sets a mood and sums up an era 2014-07-09T04:00:00Z

Dehn’s concepts of harmonic intervals, topology and set theory entered her work; Ms. Rockburne started thinking of artworks as “visual equations.” What to See in New York Art Galleries This Week 2018-08-08T04:00:00Z

He taught her geometry, group theory, topology, harmonic intervals. Art Review: From Theorems and Numbers, the Geometry of a Diverse Career 2011-07-21T22:35:53Z

For film-makers, the association between things we wish to repress and a physical topology is fertile ground, especially when looking to shock or provoke. Parasite, Us and the movies' subterranean blues 2020-01-20T05:00:00Z

This led him to create topology and then, in 1904, to the conjecture that the sphere is the simplest shape in three dimensions. Henri Poincaré: the unlikely link between Einstein and Picasso 2012-07-17T11:48:23Z

He knew next to nothing about topology, so he enlisted the help of Jonathan Simon, a retired math professor specializing in the field, to invent a hypothetical conjecture for Milo to prove. ‘A Doubter’s Almanac,’ Ethan Canin’s Latest Novel, Has Real-Life Parallels 2016-02-15T05:00:00Z

The work has already helped scientists to use the language of topology to describe other systems, and it could lead to new insights about waves and weather patterns on Earth. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z

Perhaps even more surprising, this silly claim with an even sillier name, “the hairy ball theorem,” is a proud discovery from a branch of math called topology. Math’s ‘Hairy Ball Theorem’ Has Surprising Implications 2023-08-18T04:00:00Z

In mathematics, topology describes how shapes can be transformed without being fundamentally altered. Physicists Make Matter out of Light to Find Quantum Singularities 2023-06-18T04:00:00Z

The industry, like the 3% of Angelenos who make it happen, is scattered across the topology of the city, a lace network of social and economic bonds. When the abstract ideals of hard buildings meet the actual needs of soft bodies 2023-05-18T04:00:00Z

Perturbations such as magnetic disturbances might slightly move the paths around without changing the qualitative nature of their linking, called their topology. Physicists Create Long-Sought Topological Quantum States 2023-05-10T04:00:00Z

These recent studies have opened the door for scientists to study topology in a whole host of other fluids. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z

In the field of topology, mathematicians study shapes, as they would in geometry, but they imagine these shapes are made from an ever elastic rubber. Math’s ‘Hairy Ball Theorem’ Has Surprising Implications 2023-08-18T04:00:00Z

Last year, Dennis P. Sullivan, a professor of mathematics at Stony Brook University and the City University of New York Graduate Center, received the Abel for work in topology, the study of space and shapes. Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature 2023-03-22T04:00:00Z

Dr. Segerman’s more formal investigations are in topology, the study of geometric objects without regard for lengths or angles. A New Puzzle Turns Earth Into a Rubik’s Cube, But More Complex 2023-01-01T05:00:00Z

Mathematically, he explained, the design is inspired by the “mind-boggling” topology of a Klein bottle: a “non-orientable closed surface,” with no inside, outside, up or down. They’re Taking Jigsaws to Infinity and Beyond 2022-12-09T05:00:00Z

“I was surprised to see that topology could be defined in fluid systems without periodic order,” said Anton Souslov, a theoretical physicist at the University of Bath in the U.K. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z

There’s just one problem: a certain hirsute fact from topology mandates that isotropic antennas can’t exist. Math’s ‘Hairy Ball Theorem’ Has Surprising Implications 2023-08-18T04:00:00Z

In contrast to the relatively simple and rigid structures that characterize linear algebra, TDA is grounded in topology, a branch of mathematics that studies pliable, stretchy shapes. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z

As an old topology joke goes: “A topologist is somebody who can’t tell the difference between a coffee mug and a doughnut.” A New Puzzle Turns Earth Into a Rubik’s Cube, But More Complex 2023-01-01T05:00:00Z

In a quantum computer that exploits topology, information is not encoded locally in the state of each qubit but is woven across the material globally. New Phase of Matter Opens Portal to Extra Time Dimension 2022-07-26T04:00:00Z

Researchers are studying topology in fluids from magnetized plasmas to collections of self-propelled particles; Delplace and Venaille are wondering whether the dynamics of stellar plasma might also resemble a topological insulator. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z

This network topology illustrates how a Thread border router will work in a smart home with Matter devices. Apple, Amazon, and Google’s Thread border routers can now coexist on a single Thread network 2022-07-19T04:00:00Z

Because its practitioners assume that all shapes are arbitrarily flexible, topology is often called rubber sheet geometry. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z

Now we are looking at the topology of the home. What Matter will and won’t do according to a Google smart home exec 2022-05-10T04:00:00Z

Sullivan was recognized for his work on topology, which investigates how you can bend, stretch or twist a shape without changing its basic nature. Math in 3-D: Q&A with Abel Prize Winner Dennis Sullivan 2022-04-05T04:00:00Z

Together, the ideas highlight the ubiquity of topology in our physical world, from condensed matter to the fluids flowing on Earth. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z

US mathematician Dennis Sullivan has won one of the most prestigious awards in mathematics, for his contributions to topology—the study of qualitative properties of shapes—and related fields. Virtuoso Mathematician Who Reshaped Topology Wins Abel Prize 2022-03-28T04:00:00Z

Noise often jiggles the underlying data, but the topology remains the same—revealing robust features of the system. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z

There are other, looser analogies among these categories and the ones students encounter in topology or analysis courses, and these similarities enable them to absorb the new material more quickly. Infinity Category Theory Offers a Bird’s-Eye View of Mathematics 2021-09-14T04:00:00Z

You helped develop the field of string topology, which combines quantum mechanics and classical physics with topology. Math in 3-D: Q&A with Abel Prize Winner Dennis Sullivan 2022-04-05T04:00:00Z

When Loving, whose research focuses on low-dimensional topology and geometric group theory, was in graduate school, she says, she “felt like I literally couldn’t win.” Modern Mathematics Confronts Its White, Patriarchal Past 2021-08-12T04:00:00Z

Mathematicians had realized in the mid-1900s that the topology of manifolds had vastly different behaviour depending on the number of dimensions of the object, Sullivan says. Virtuoso Mathematician Who Reshaped Topology Wins Abel Prize 2022-03-28T04:00:00Z

They converted each of these maps into a simplicial complex and analyzed how its shape changed in time using the tools of topology. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z

“What’s on there isn’t research—it’s all standard mathematics that a typical Ph.D. student would learn in a topology class,” Terilla says. The Art of Mathematics in Chalk 2021-04-26T04:00:00Z

So string topology was just a very simplified mathematical version of what they were talking about, which we could actually prove mathematically and then discuss. Math in 3-D: Q&A with Abel Prize Winner Dennis Sullivan 2022-04-05T04:00:00Z

The agency then provides tips to researchers to help identify objects and topology depicted in the images. Spy agency to cast China’s clandestine military buildup into daylight 2021-03-21T04:00:00Z

At that time, the field of topology was burgeoning, centred around efforts to classify all possible manifolds. Virtuoso Mathematician Who Reshaped Topology Wins Abel Prize 2022-03-28T04:00:00Z

Thanks to these technologies, the uses of topology, which until recently seemed to be no more than an abstract, if amusing, branch of mathematics, are burgeoning. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z

Matching Shapes A coffee cup and a doughnut are famously “the same” shape according to the mathematical field of topology, which categorizes surfaces by how many holes they contain. The Art of Mathematics in Chalk 2021-04-26T04:00:00Z

Johann Benedict Listing, a younger mathematician, coined the term “topology” for the study of surfaces, and in conducting that research, independently determined the properties of the Möbius strip. The Timeless Journey of the Möbius Strip 2021-01-16T05:00:00Z

A psychological topology, this – one marked with hillocks of anxiety and peaks of alarm. Landscape of fear: why we need the wolf 2020-11-24T05:00:00Z

Jones won mathematics’ top prize for an invention that revolutionized the field of topology, the study of knots and other shapes. Daily briefing: What a ski resort outbreak can teach us about travel restrictions 2020-09-30T04:00:00Z

In 1990, he became the first New Zealander to be awarded the Fields Medal — for an invention that revolutionized the field of topology, the branch of maths that studies knots and other shapes. Vaughan Jones (1952–2020) 2020-09-28T04:00:00Z

It was topology that was making the material’s resistance robust to small changes, allowing it to change in only discrete jumps. The mathematician who helped to reshape physics 2020-08-03T04:00:00Z

This is what Michalakis and Hastings achieved, making the link between topology and the quantum Hall effect ironclad. The quantum Hall effect continues to reveal its secrets to mathematicians and physicists 2020-07-28T04:00:00Z

Mathematician Spyridon Michalakis tells us how he helped to solve the problem using a field of mathematics called topology, which studies the fundamental properties of shapes. Quarantine Lessons from Lobsters, Guppies, Finches and Galileo 2020-07-14T04:00:00Z

With the agreement of the Icelandic government, U.S. authorities created fake classified documents for Sabu to feed Assange, including an ersatz map purporting to show the computer network topology of the government. Justice Department broadens case against Julian Assange 2020-06-24T04:00:00Z

The problem is one of the long-standing mysteries of knot theory, which is a branch of topology, a kind of geometry that looks at the nature of spaces. Graduate student untangles nature of Conway knot 2020-05-22T04:00:00Z

Conway’s discovery of a new knot invariant — used to tell different knots apart — called the Conway polynomial became an important topic of research in topology. John Horton Conway (1937–2020) 2020-05-22T04:00:00Z

Dr. Conway’s boundless curiosity produced profound contributions to number theory, game theory, coding theory, group theory, knot theory, topology, probability theory, algebra, analysis, combinatorics and more. John Horton Conway, a ‘Magical Genius’ in Math, Dies at 82 2020-04-15T04:00:00Z

“We will see on each journey what the energy consumption will be depending on the geography and topology,” he said. Powered by hydrogen, Hyundai's trucks aim to conquer the Swiss Alps 2020-02-28T05:00:00Z

Zeng and co-workers’ results pave the way for studying topology in a previously inaccessible part of the electromagnetic spectrum. Quantum cascade laser lives on the edge 2020-02-11T05:00:00Z

In topology, his proof of the Poincare´ Conjecture in dimension 1, showing that the unit circle is the only simply connected compact 1-manifold without boundary, sent topology into a decade-long tailspin. An Introduction to the Collected Works of Frederick D. Funkle 2020-01-27T05:00:00Z

Harriss chose to talk about the Gauss-Bonnet theorem, which relates the topology of a two-dimensional surface to its geometry. Once More, With Turning 2020-01-11T05:00:00Z

This highly symmetric, cage-like shape was first described by Archimedes, and the rules that guide the topology of polyhedra were first developed by Descartes. The nano-revolution spawned by carbon 2019-10-27T04:00:00Z

This led the pair to derive a ‘magic wand theorem’ in 2013, given this name because it brings together aspects of topology, dynamical systems and geometry to easily solve many previously stubborn mathematics problems. First Ever Picture of a Black Hole Scoops $3-Million Prize 2019-09-05T04:00:00Z

This led the pair to derive a ‘magic wand theorem’ in 20139, given this name because it brings together aspects of topology, dynamical systems and geometry to easily solve many previously stubborn mathematics problems. First ever picture of a black hole scoops US$3-million prize 2019-09-04T04:00:00Z

Automated tools are needed to design the layout and topology of circuits and mechanical components. Skin sensors are the future of health care 2019-07-16T04:00:00Z

Another study, published2 last month in Nature, describes hints of a fragile state in the electrons of a carbon-based device — which, if confirmed, would be the first experimental evidence for fragile topology. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z

Zhuang, who is at Harvard University in Cambridge, Massachusetts, is one of a growing number of researchers charting the topology of the genome to decode the relationship between chromatin structure and function. The new techniques revealing the varied shapes of chromatin 2019-05-05T04:00:00Z

A theme of much of his work was topology, and how it can lead to non-trivial configurations within the constituent parts of a system. David J. Thouless (1934-2019) 2019-05-01T04:00:00Z

To these, he applied quantum physics and topology, a branch of mathematics. David Thouless, Nobel-winning physicist who explored strange states of matter, dies at 84 2019-04-13T04:00:00Z

Beginning in the 1970s, Thouless pioneered the use of ideas from the mathematical branch of topology to understand the strange physics of atom-thin materials. New hominin species, asteroid explosion and Sydney Brenner dies 2019-04-09T04:00:00Z

At first, physicists weren’t sure whether fragile topology was important, but that changed after a surprising discovery in March 2018. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z

Uhlenbeck pioneered the field of geometric analysis, which combines the technical power of analysis—a branch of math that extends and generalizes calculus—with the more conceptual areas of geometry and topology. Top stories: Jack the Ripper, engineering coral, and the first woman to win math’s Nobel 2019-03-22T04:00:00Z

Uhlenbeck won for her foundational work in geometric analysis, which combines the technical power of analysis—a branch of math that extends and generalizes calculus—with the more conceptual areas of geometry and topology. Founder of geometric analysis honored with Abel Prize 2019-03-19T04:00:00Z

It ends with a twist: Yau does not believe that the Poincaré conjecture — the most important question in topology in the twenty-first century — has truly been settled. The wild side of discovery, a history of information warfare, and the immune system uncovered: Books in brief 2019-03-12T04:00:00Z

She had entered graduate school interested in geometry and topology, but when she encountered this theorem in a class by her soon-to-be-advisor, she switched gears and decided to go into mathematical physics. Pinning Down Uncertainty 2019-03-02T05:00:00Z

Whereas strong topology manifests in known, measurable ways, fragile topology might be subtler. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z

But this case exemplifies a broader category of would-be topological materials in which the natural formation of defects can be fatal to topology. Beware of plausible predictions of fantasy materials 2019-02-26T05:00:00Z

Analysis focuses on the differential equations governing variations of surface area, whereas geometry and topology focus on the minimal surface representing a solution to the equations. Founder of geometric analysis honored with Abel Prize 2019-03-19T04:00:00Z

Like all insulators, these materials do not conduct electricity in bulk, but do so at their surfaces — because of quantum-mechanical phenomena best understood using tools from the mathematical field of topology. Shoucheng Zhang (1963–2018) 2019-01-22T05:00:00Z

His most famous achievement, the Atiyah–Singer index theorem — which he proved in 1963 with US mathematician Isadore Singer — linked the solutions of differential equations to the geometry and topology of space. Plants on the Moon, US emissions spike and fish die-off 2019-01-15T05:00:00Z

Still, fragile topology is bound to affect materials’ behaviour, some physicists say, because it is even more ubiquitous than strong topology. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z

One would expect that further structures are vulnerable to developing spontaneous magnetism, defeating the high symmetry that yields topology. Beware of plausible predictions of fantasy materials 2019-02-26T05:00:00Z

Sir Michael, who worked at Cambridge University before he retired, made outstanding contributions to geometry and topology. Mathematician Sir Michael Atiyah dies 2019-01-12T05:00:00Z

These features are described by the mathematics of topology, and the materials are dubbed topological insulators. Imprisoned academics, China’s Moon lander and AI moral code 2018-12-11T05:00:00Z

Next, engineers created the basic topology of the virtual environment using a traditional game engine. Nvidia has created the first video game demo using AI-generated graphics 2018-12-03T05:00:00Z

They systematically searched for fragile topology across a database of known crystals, and found hundreds of thousands of examples of the phenomenon. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z

Theorists like to average these motifs out, and so might miss or mistake cases of topology. Beware of plausible predictions of fantasy materials 2019-02-26T05:00:00Z

These theorems often tie algebra and topology together in interesting and sometimes surprising ways. Math, Quilting and Activism 2018-10-14T04:00:00Z

"The templates include session protocol, network topology, routing, and social templates." Apple patent could kill robocalls 2018-10-12T04:00:00Z

A giant in his field, Atiyah has made major contributions to geometry, topology, and theoretical physics. Skepticism surrounds renowned mathematician’s attempted proof of 160-year-old hypothesis 2018-09-24T04:00:00Z

Now, the first experimental hints of fragile topology are emerging. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z

Properties of materials — such as colour, hardness, conductivity, stability, topology or magnetism — exist in certain substances and not others. Beware of plausible predictions of fantasy materials 2019-02-26T05:00:00Z

The interior is a topology of the familiar, the amortized-by-the-million, from seats to digital displays to switch assemblies. 2019 Volkswagen Jetta: Return of the Great Cheap Car 2018-08-10T04:00:00Z

Whenever two materials of different topology are brought into contact, gapless states must form at the interface. Topological states engineered in narrow strips of graphene 2018-08-07T04:00:00Z

Topological materials derive their unusual features from their topology. Thousands of exotic ‘topological’ materials discovered through sweeping search 2018-08-07T04:00:00Z

Fragile topology might be easier to observe experimentally in devices that carry light than in solid materials. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z

If you sit down and think carefully about the topology, you'll see there's a little more going on in Gleaming Lights of the Souls than just the three-torus. Stepping into a Three-Torus 2018-06-30T04:00:00Z

To change the doughnut to a pretzel, however, you would have to poke new holes into it, changing its topology. What Are the Limits of Manipulating Nature? 2018-05-25T04:00:00Z

Seeking applications for 3D printing, Michael McAlpine and his colleagues at the University of Minnesota in Minneapolis used a 3D scanner to map the topology of a hand. Human hand electrified with 3D printer 2018-04-26T04:00:00Z

In materials, topology applies not to the shape of a solid object but to the geometry of an abstract description of its electrons’ quantum states. Thousands of exotic ‘topological’ materials discovered through sweeping search 2018-08-07T04:00:00Z

Arguably, there is more common ground here with physicists studying topology, whether in the connectivity of complex networks or in the handedness of electron band structures of ‘topological matter’. Asymmetry symposium unites economists, physicists and artists 2018-03-14T04:00:00Z

We confirm the non-trivial topological phase using spectroscopic measurements and by identifying corner states that result from the bulk topology. A quantized microwave quadrupole insulator with topologically protected corner states 2018-03-13T04:00:00Z

Yang, K., Guo, Y. & Ding, M. D. Quantifying the topology and evolution of a magnetic flux rope associated with multi-flare activities. Magnetic cage and rope as the key for solar eruptions 2018-02-06T05:00:00Z

For more than a century, topology was mostly a pure-maths affair. Maths classification is getting a revision 2018-02-06T05:00:00Z

The newly released catalogues classify all non-magnetic materials with known crystal structures by their topology, using methods published last year. Thousands of exotic ‘topological’ materials discovered through sweeping search 2018-08-07T04:00:00Z

This is high enough to visualize how mutations change the composition, topology and structure, and by inference the function, of the affected complex. Technology to watch in 2018 2018-01-23T05:00:00Z

Grand Staircase, a natural wonderland of ancient topology and fossilized prehistory, is another. Opinion | Trump’s radical monuments reduction will sully precious lands 2017-12-06T05:00:00Z

They could make out a volcano, then a port — the topology of Central America. The Coast Guard’s ‘Floating Guantánamos’ 2017-11-20T05:00:00Z

The theory has its roots in topology — the study of shapes and their arrangements within one another — which includes knot theory and higher-dimensional spaces. Maths classification is getting a revision 2018-02-06T05:00:00Z

The researchers plan to add the ability to check a material’s topology, and certain related features, to the popular Bilbao Crystallographic Server. Thousands of exotic ‘topological’ materials discovered through sweeping search 2018-08-07T04:00:00Z

Many dedicated researchers continue to find new ways to apply his fundamental ideas to algebra, geometry and topology. Vladimir Voevodsky (1966–2017)

In topology, the word end comes up when you start talking about infinite surfaces. A Few of My Favorite Spaces: The Loch Ness Monster 2017-11-05T04:00:00Z

He uses basic geometry and algebra quite a bit—and even sometimes a little combinatorics or topology. Are All Fish the Same Shape If You Stretch Them? 2017-10-25T04:00:00Z

Among the fields in which he made contributions are the homotopy theory of schemes, algebraic K-theory, and interrelations between algebraic geometry and algebraic topology. Vladimir Voevodsky, acclaimed mathematician who won Fields Medal, dies at 51 2017-10-07T04:00:00Z

Last year, three researchers won for their work in the field of topology. Three Americans win Nobel Prize in physics for gravitational wave discovery 2017-10-03T04:00:00Z

The phylogenetic tree shows the topology and divergence times for 15 plant species. The Apostasia genome and the evolution of orchids : Nature : Nature Research 2017-09-12T04:00:00Z

She became a full professor at Stanford University in California in 2008, by which time she was considered a leader in the fields of hyperbolic geometry, topology and dynamics. Maryam Mirzakhani (1977-2017) : Nature : Nature Research 2017-09-05T04:00:00Z

For her favorite theorem, Dr. Lawrence chose the classification of compact surfaces, one of the best theorems from a first topology class. Emille Davie Lawrence's Favorite Theorem 2017-08-26T04:00:00Z

Nature reporters discuss the strange world of topology, and why it’s proving powerful in physics. The strange topology that is reshaping physics 2017-07-18T04:00:00Z

In the past decade or so, principles and ideas from the mathematical exploration of a field called topology have found their way into the laboratories of condensed-matter physicists. All shook up over topology 2017-07-18T04:00:00Z

The phylogenetic tree shows the topology and divergence times for 15 plant species. The Apostasia genome and the evolution of orchids : Nature : Nature Research 2017-09-12T04:00:00Z

It’s flat, white, no topology… and it’s mind blowing. A SpaceX engineer and marine biologist explain how they got picked to be NASA astronauts 2017-06-09T04:00:00Z

A central theme in topology—and mathematics in general—is determining whether two spaces are the same or not. A Few of My Favorite Spaces: The Poincaré Homology Sphere 2017-06-04T04:00:00Z

Like the electron’s spin, this topology occurs in an abstract space. The strange topology that is reshaping physics 2017-07-18T04:00:00Z

In particular, the roots of the interactions between physics and topology go deeper, and many of the major breakthroughs in topology of the past few decades were inspired by physics ideas. All shook up over topology 2017-07-18T04:00:00Z

A partially condensed maximum likelihood topology is shown. The crown-of-thorns starfish genome as a guide for biocontrol of this coral reef pest : Nature : Nature Research 2017-04-04T04:00:00Z

Hence, design strategies that assume a topology or other structural blueprint will often fail. Functional materials discovery using energy–structure–function maps : Nature : Nature Research 2017-03-21T04:00:00Z

“The results of this study challenge more than a century of dogma and recover an unexpected tree topology that necessitates fundamental reassessment of early dinosaur evolution,” Mr. Baron and his supervisors write. Shaking Up the Dinosaur Family Tree 2017-03-22T04:00:00Z

Branch values represent the percentage of 1,000 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z

Much of the work involves a field of maths known as topology, which describes properties of matter at large and small scales. Scots awarded Nobel Prize in Physics - BBC News 2016-12-10T05:00:00Z

A partially condensed maximum likelihood topology is shown. The crown-of-thorns starfish genome as a guide for biocontrol of this coral reef pest : Nature : Nature Research 2017-04-04T04:00:00Z

At a press conference, he was tasked with explaining the motivation for awarding this year’s physics prize to David Thouless, Duncan Haldane and Michael Kosterlitz, who brought topology into physics in unexpected ways. Being able to explain your work to passers-by is laudable — but not always possible 2016-11-15T05:00:00Z

Computational topology is already employed in tasks as diverse as loading goods at dockyards and studying the way protein molecules fold, so many topological algorithms already exist. Listen to the music of the traffic in the city 2016-10-20T04:00:00Z

Branch values represent the percentage of 1,000 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z

Their work called on an abstract mathematical field called topology, which presents a particular way to describe some properties of matter. Tennessee editorial roundup 2016-10-05T04:00:00Z

"In the world of topology, changing from a normal conductor to a superconductor might be the equivalent of a bagel transforming into a bun," The Guardian reports. 2016 Nobel Prize in physics awarded for revealing ‘the secrets of exotic matter’ 2016-10-04T04:00:00Z

Topology is a relatively young branch of maths: when Hilbert made his list of open problems, he included few problems from topology. Being able to explain your work to passers-by is laudable — but not always possible 2016-11-15T05:00:00Z

To avoid this, Dr Silva turned to computational topology—a field that finds algorithms to describe complicated shapes and surfaces as simply as possible. Listen to the music of the traffic in the city 2016-10-20T04:00:00Z

Branch values represent the percentage of 500 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z

What the three new Laureates did that made them so prize-worthy was, among other things, extend topology and phase changes to the fields of superconductivity and superfluidity. Why 'Exotic Matter' Matters—and Won the Nobel Prize in Physics 2016-10-04T04:00:00Z

Thouless viewed the problem through the mathematical concept of topology, which describes properties that remain unchanged if an object is deformed but not torn. Physics of 2D exotic matter wins Nobel 2016-10-03T04:00:00Z

The scientists used a branch of mathematics called topology to redefine what was thought possible in materials. British trio win Nobel prize in physics for work on exotic states of matter 2016-10-04T04:00:00Z

Whether the algorithms of computational topology would show any similarities between those locales is an intriguing question. Listen to the music of the traffic in the city 2016-10-20T04:00:00Z

Branch values represent the percentage of 1,000 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z

Without a passport, in 1954 he made his way to the University of Cambridge, UK, where he earned a second doctorate, in 1959, for work on the lattices of logic and topology. Seymour Papert (1928-2016) : Nature : Nature Research 2016-09-13T04:00:00Z

Haldane, meanwhile, was busy applying the concept of topology to chains of magnetic atoms. Physics of 2D exotic matter wins Nobel 2016-10-03T04:00:00Z

His research spanned the scales of physics, explaining fundamental interactions among the building blocks of matter as well as theorizing about the topology of the cosmos. Tom Kibble, Physicist Who Helped Discover the Higgs Mechanism, Dies at 83 2016-07-19T04:00:00Z

First, the abundance of specific microorganisms in each microbiota is sampled through a multinomial distribution, which leads to large numbers of negative correlations and induces a substantial bias in network topology. Microbiome-wide association studies link dynamic microbial consortia to disease : Nature : Nature Publishing Group 2016-07-05T04:00:00Z

Branch values represent the percentage of 1,000 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z

The phylogenetic profile and phylogenetic tree topology provided at PLAZA84 were used to reconstruct the most parsimonious series of gene gain and loss events. The genome of the seagrass Zostera marina reveals angiosperm adaptation to the sea : Nature : Nature Publishing Group 2016-01-26T05:00:00Z

He zeroed in on a result from a 2008 paper by Mochizuki5 that linked the statement of the abc conjecture to another branch of maths called topology. Biggest mystery in mathematics in limbo after cryptic meeting 2015-12-15T05:00:00Z

The data matrix in the original Supplementary Data 3 of this Letter reproduced the tree topology shown in Extended Data Fig. Corrigendum: A basal ichthyosauriform with a short snout from the Lower Triassic of China : Nature : Nature Publishing Group 2015-10-27T04:00:00Z

A prize in mathematics went to a professor at the University of California, Berkeley, for work in low dimensional topology and geometric group theory. Science's 'Breakthrough' winners earn over $21 million in prizes 2015-11-08T05:00:00Z

Branch values represent the percentage of 500 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z

Ian Agol won the Breakthrough prize in mathematics for proving two famous conjectures in topology, a branch of maths that deals with how shapes transform into each other. Academics land £2m prizes at Zuckerberg-backed 'science Oscars' 2015-11-08T05:00:00Z

Agol made significant advances in geometric topology that completed a revolution in the field that began more than 30 years ago. 6 $3 -Million Breakthrough Prizes Awarded for Basic Science 2015-11-08T05:00:00Z

The revised Supplementary Data 3 also reproduces the tree topology shown in Extended Data Fig. Corrigendum: A basal ichthyosauriform with a short snout from the Lower Triassic of China : Nature : Nature Publishing Group 2015-10-27T04:00:00Z

She took science with the physicist Goldowski, but her most profound connection was with the German mathematician Max Dehn, with whom she studied topology, linear algebra and Euclidean geometry. Return to Black Mountain College 2015-10-06T04:00:00Z

He said they also “challenged us to keep in mind the topology of the Gaza Strip,” one of the most densely populated patches on the planet. Red Cross Offers Workshops in International Law to Hamas 2015-08-15T04:00:00Z

"Topology is all about squishing and stretching; distance shouldn't matter. But the infinite earring illustrates the delicate interplay between topology and geometry." Physics Week in Review: August 8, 2015 2015-08-08T04:00:00Z

Dr Freedman aims to use ideas from topology—a description of how the world is folded up in space and time—to crack the problem. A little bit, better 2015-06-18T04:00:00Z

There are four basic properties of sets that beginning analysis and topology students see: open, closed, compact, and connected. A Few of My Favorite Spaces: The Topologist's Sine Curve 2015-05-28T04:00:00Z

The maze solver knows the topology at the outset but not the maze solution and needs time to find it. Readers Respond to “Inside the Neandertal Mind” 2015-05-24T04:00:00Z

I taught a topology and geometry class this semester, and one of the topics we covered was spherical geometry. Grapefruit Math 2015-05-19T04:00:00Z

What I find even more exciting is how this topology opens the door for more real-time experiences and applications. TeradataVoice: Creating The 'As-it-Happens' Business: Analytics Drives Action 2015-04-09T04:00:00Z

In his Mathematical Objects, he ingeniously repurposes the cool calculations of mathematics to reveal the topology of desire. See How Man Ray Made Elliptic Paraboloids Sexy At This Phillips Collection Photography Exhibit 2015-02-13T05:00:00Z

You would need to monitor for changes, additions or deletions to network topology. What's In Your Security Logging Solution? 2015-01-27T05:00:00Z

But the knowledge of the topology does not mean that the maze solution is known or even exists. Readers Respond to “Inside the Neandertal Mind” 2015-05-24T04:00:00Z

But Grothendieck found not one but two ways to endow all schemes, even the discrete ones, with a topology, and especially with the fundamental invariant called cohomology. Alexander Grothendieck (1928-2014) : Nature : Nature Publishing Group 2015-01-13T05:00:00Z

Most of the Cloud services are provided on a “multitenancy” architecture which represents a shared infrastructure and/or resources topology along with the advantages of virtualization and remote access to new business models and services. Microsoft's Azure Cloud Platform Explained - Part 1 2014-12-19T05:00:00Z

New link, doesn’t show up on the ARPAnet routing topology and best of all didn’t come out of my budget… Why Is VPN Not Illegal? 2014-12-17T05:00:00Z

Understanding the complete topology of your environment is critical. OracleVoice: Are CIOs Finally Solving Their Cloud Identity Crisis? 2014-09-18T04:00:00Z

The percentage of total support for each topology is given within each subpanel. Gibbon genome and the fast karyotype evolution of small apes : Nature : Nature Publishing Group 2014-09-09T04:00:00Z

Probably his best known work was his discovery of how all schemes have a topology. Alexander Grothendieck (1928-2014) : Nature : Nature Publishing Group 2015-01-13T05:00:00Z

Weave embeds a software defined network at the container level, so that applications and networks automatically share a common topology, and this is a great way to achieve consistency and scale. Weaving A Network Layer Into Docker - Weave Launches 2014-09-09T04:00:00Z

Sullivan was recognised for his work in topology and the theory of dynamical systems, as well other fields of maths, including geometry, the theory of Kleinian groups, analysis and number theory. Balzan prizes honour plant ecologist and mathematician : Nature News Blog 2014-09-08T04:00:00Z

The hearing also featured dueling acoustics experts who described the factors that determine how far the sound of gunfire travels in granular detail — everything from bullet caliber to humidity, topology and leaf cover on trees. Neighbors question plans for shooting ranges near Md.’s Sugarloaf Mountain

Consultants who specialize in this kind of analysis use structured interviews to determine the topology of relationships that already exist among your team members. Who are your organization's superheroes? Hint: Look beyond the C-Suite 2014-08-25T04:00:00Z

After World War II, the United States military funded elite mathematical research in areas ranging from topology and differential equations to operations research and game theory. How Math Got Its ‘Nobel’ 2014-08-08T04:00:00Z

Jacob Lurie, for instance, explores the intersection of topology and algebraic geometry. With Prizes Like This, Who Needs a Nobel? 2014-06-23T04:00:00Z

The original flavor network already did a great job of highlighting the topology. A Look under the Hood of Online Data Visualization 2014-05-12T20:10:53Z

These data reveal that the topology transformation in cuprates is linked intimately with the disappearance of the electronic symmetry breaking at a concealed critical point. [Report] Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking 2014-05-08T18:26:35.466Z

What one farmer can do to boost yield or efficiency is not necessarily the same as for a farmer hundreds of kilometres away with different soil, microclimate, topology and methods. Agriculture: Engage farmers in research 2014-04-30T17:20:31.858Z

River networks evolve as migrating drainage divides reshape river basins and change network topology by capture of river channels. [Research Article] Dynamic Reorganization of River Basins 2014-03-06T20:25:56.540Z

Since this flow data includes source and destination, Boundary is able to always dynamically render and update the most current application topology regardless of changes. How Boundary's Brain Helps CIOs Conquer Accelerated Change 2014-02-20T10:52:00Z

Both complementary approaches resulted in an identical topology. The genome of the recently domesticated crop plant sugar beet (Beta vulgaris) 2014-01-22T18:21:48.441Z

Concomitantly, the coherent topology undergoes an abrupt transition, from arcs to closed contours, at the same . [Report] Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking 2014-05-08T18:26:35.466Z

In this scenario, differential support for any alternative topology may be possible where the signal for the species topology is weak. Genome-wide signatures of convergent evolution in echolocating mammals 2013-10-09T17:21:23.207Z

To try to understand the topology of vein architecture, Katifori and Magnasco built a simple network model trying to capture its essential features. In Natural Networks, Strength in Loops 2013-08-20T17:15:00.780Z

The topology of our networks is shifting, too. Timid FCC Wonders If Internet Is Just A Fad 2013-05-15T17:55:42Z

Kelvin's interpretation of the periodic table never went anywhere, but his ideas led to the blossoming of the mathematical theory of knots, part of the field of topology. Physicists Twist Water into Knots 2013-03-06T15:45:03.657Z

Muzak has had a bizarre history, appropriately for a company that employs "audio architects" to chart a song's "topology". The malls are alive with the sound of Muzak 2013-02-13T12:30:01Z

However, topology comparison requires marginalization of the site likelihoods with respect to substitution model, so that competing phylogenies’ goodness-of-fit may be directly compared. Genome-wide signatures of convergent evolution in echolocating mammals 2013-10-09T17:21:23.207Z

In and , arrows indicate species that do not follow the protein family tree topology. Insights into bilaterian evolution from three spiralian genomes 2013-01-23T18:22:45.773Z

“The goal was to completely unify topology and geometry in three dimensions,” Minsky said. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z

In the early days of oil and gas exploration, geologists would largely rely upon topology at the surface of the earth to interpret the location of oil and gas accumulations in the subsurface. How The Internet Of Things Will Change Almost Everything 2012-12-17T23:43:35Z

The stripped-down scenario is effectively the one-dimensional version of an encounter with ripped space-time, which occurs when the topology of a space changes radically. Fairly Simple Math Could Bridge Quantum Mechanics and General Relativity 2012-11-05T19:49:46.627Z

It’s also useful to try to get accurate data about the topology of those waters. Dueling narratives: what's the job market like for scientists and is a Ph.D. worth it? 2012-09-07T22:15:02.830Z

Scaffold positions for all displayed linkages are listed in . d, Cumulative rates of microsynteny change plotted on a fixed metazoan tree topology. Insights into bilaterian evolution from three spiralian genomes 2013-01-23T18:22:45.773Z

To be incompressible, every topological feature of the surface must truly reflect some of the three-manifold’s intrinsic topology. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z

Thurston’s numerous breakthroughs in the fields of geometry and topology influenced cosmologists’ theories about the shape of the Universe. Seven days: 24–30 August 2012 2012-08-29T17:50:17.730Z

The desire to escape the mathematical headaches caused by such transformations is one motivation for string theory, which allows smooth changes in the topology of space-time, says Greene. Fairly Simple Math Could Bridge Quantum Mechanics and General Relativity 2012-11-05T19:49:46.627Z

Perhaps the most prominent advocate of change was Thurston, who had won a Fields Medal—the mathematical equivalent of a Nobel Prize—in 1982 for delineating deep connections between topology and geometry. How William Thurston (RIP) Helped Bring About "The Death of Proof" 2012-08-24T18:15:05.483Z

In and , arrows indicate species that do not follow the protein family tree topology. Insights into bilaterian evolution from three spiralian genomes 2013-01-23T18:22:45.773Z

But one mathematician was already fluent in both three-manifold topology and the more abstract, combinatorial considerations that were the currency of Wise’s approach. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z

Dr. Thurston’s fields of expertise were geometry and topology, the study of different possible shapes for multidimensional space. William P. Thurston, 65, Theoretical Mathematician, Dies 2012-08-23T03:29:23Z

Shape, topology and size are all recapitulated,” he says. Tissue engineering: The brainmaker 2012-08-22T17:20:37.893Z

It looks like either the mammal microRNAs evolved in a totally different way or the traditional topology is wrong. Phylogeny: Rewriting evolution 2012-06-27T17:50:32.213Z

This topology is based on a tree in McAliley et al. The once far and wide Siamese crocodile 2012-06-15T18:15:07.963Z

He was in his mid-30s when he received the Fields Medal in 1982 for his work in deepening the connection between geometry and topology. William P. Thurston, 65, Theoretical Mathematician, Dies 2012-08-23T03:29:23Z

The analysis reveals that “as these systems get larger and more mature, they converge on a similar topology,” says David Levinson, a engineer at the University of Minnesota, who was not involved in the study. How Subway Networks Evolve 2012-05-15T21:45:00.407Z

The network’s topology was rich enough that if any one node dropped out, any others that had been relying on it could always find a new path. The Shadow Web 2012-02-16T14:45:00.247Z

Jim McDaniels, the Director of Parks and Gardens for New Hanover County, where Wilmington is located, said the city’s topology and coastal location made it an ideal testing ground. World's First Commercial White Spaces Network Launching Today In North Carolina 2012-01-26T14:01:29Z

Their analysis draws heavily on network topology, a methodology that biologists use to good effect. Economix Blog: Nancy Folbre: Who Rules the Global Economy? 2011-11-07T10:00:32Z

It is the unique topology of the Passaic River, which winds through a dense region of New York City suburbs, that created the slowly rising flood zone. Water Continues to Rise in New Jersey and Connecticut 2011-08-31T01:30:31Z

Depending on the final product, you will need to decide at the outset as to the final topology of the cleaned piece—sheet, tube or cone. Squid Studies: Southward bound: "We had all felt the pattern of the Gulf..."--J. Steinbeck and E.F. Ricketts, Sea of Cortez 2011-07-07T21:15:00.213Z

His work spans the fields of topology, geometry and algebra, and displays "profound insights, vivid imagination, striking surprises and supreme beauty," the Norwegian academy said. Dimension-Cruncher: Exotic Spheres Earn Mathematician John Milnor an Abel Prize 2011-03-24T22:15:00.293Z

By the rules of the mathematical field of topology, two spaces are considered equivalent if one can be bent, stretched, and perhaps folded until it looks like the other. Pioneer of High-Dimensional Spaces Wins Abel Prize 2011-03-23T23:05:21Z

Radiation in the Dentist Chair A Doctor Goes to Cancer Camp They should publish the raw data; a tree-like topology of stepwise modifications and nodes reporting the positive or not-so-positive impact. Well: Appetizers From America's Test Kitchen 2010-11-23T16:15:00Z

The combination of such high discharge, a very steep drop in elevation and a complex channel topology creates an extremely energetic flow regime. Questions on Congo River Fishes 2010-09-10T21:13:00Z

In 2006, Perelman turned down another coveted award in mathematics, the Fields Medal, which honored "his contributions to geometry and his revolutionary insights into the analytical and geometric structure" of topology. Russian mathematician wins $1 million prize, but he appears to be happy with $0 2010-07-02T04:00:00Z

Mathematicians have dissected and analyzed the possible shapes, or topologies, of space—whether in two, three or any number of dimensions—ever since the late 1800s, when the field of topology was established. Dimension-Cruncher: Exotic Spheres Earn Mathematician John Milnor an Abel Prize 2011-03-24T22:15:00.293Z

“Fade is a function of geography and topology,” the graybeard said quietly. Someone Comes to Town, Someone Leaves Town

I hope that you'll keep on the lookout for more detailed topology of the shape of ebooks and help me spot them here in plain sight. Ebooks: Neither E, Nor Books

A well-known result in topology called the Brouwer Fixed-Point Theorem states that any continuous transformation of a surface into itself has at least one fixed point. The Jargon File, Version 4.0.0, 24 Jul 1996

Other common knocks on them are that they feature little overall plot, bad game topology, little competitive interaction, etc. —- not to mention the alleged horrors of the TinyMUD code itself. The Jargon File, Version 2.9.10, 01 Jul 1992

Usually such cliques have the topology of a ring, in order to make it easy for visitors to navigate through all of them. The Jargon File, Version 4.2.2, 20 Aug 2000

“It tries to draw logical maps of the network topology, with false coloring denoting packet loss between hops—that’s a pretty good proxy for distance between two APs.” Someone Comes to Town, Someone Leaves Town

单词	topology
例句	topology Claytor’s dissertation topic, regarding point-set topology, delighted the Penn faculty and was acclaimed by the mathematical world as a significant advance in the field. Hidden Figures 2016-09-06T00:00:00Z When Mr. Canin talks about Milo’s study of topology, a mathematical field that studies geometric properties and spatial relations between flexible objects, he could easily be describing his own work. ‘A Doubter’s Almanac,’ Ethan Canin’s Latest Novel, Has Real-Life Parallels 2016-02-15T05:00:00Z “The early work had topology rather than surface, compression rather than form,” he writes; the later sculptures “had shifted from being made of cars to being made from cars.” Art Review: ?John Chamberlain: Choices? at Guggenheim Museum 2012-02-23T23:23:12Z The subtle and often contradictory associations carried by specific tunes – what the good people in the mood-music industry call its "topology" – are deeply subjective. Soundtracks of my tears: how movie music sets a mood and sums up an era 2014-07-09T04:00:00Z Dehn’s concepts of harmonic intervals, topology and set theory entered her work; Ms. Rockburne started thinking of artworks as “visual equations.” What to See in New York Art Galleries This Week 2018-08-08T04:00:00Z He taught her geometry, group theory, topology, harmonic intervals. Art Review: From Theorems and Numbers, the Geometry of a Diverse Career 2011-07-21T22:35:53Z For film-makers, the association between things we wish to repress and a physical topology is fertile ground, especially when looking to shock or provoke. Parasite, Us and the movies' subterranean blues 2020-01-20T05:00:00Z This led him to create topology and then, in 1904, to the conjecture that the sphere is the simplest shape in three dimensions. Henri Poincaré: the unlikely link between Einstein and Picasso 2012-07-17T11:48:23Z He knew next to nothing about topology, so he enlisted the help of Jonathan Simon, a retired math professor specializing in the field, to invent a hypothetical conjecture for Milo to prove. ‘A Doubter’s Almanac,’ Ethan Canin’s Latest Novel, Has Real-Life Parallels 2016-02-15T05:00:00Z The work has already helped scientists to use the language of topology to describe other systems, and it could lead to new insights about waves and weather patterns on Earth. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z Perhaps even more surprising, this silly claim with an even sillier name, “the hairy ball theorem,” is a proud discovery from a branch of math called topology. Math’s ‘Hairy Ball Theorem’ Has Surprising Implications 2023-08-18T04:00:00Z In mathematics, topology describes how shapes can be transformed without being fundamentally altered. Physicists Make Matter out of Light to Find Quantum Singularities 2023-06-18T04:00:00Z The industry, like the 3% of Angelenos who make it happen, is scattered across the topology of the city, a lace network of social and economic bonds. When the abstract ideals of hard buildings meet the actual needs of soft bodies 2023-05-18T04:00:00Z Perturbations such as magnetic disturbances might slightly move the paths around without changing the qualitative nature of their linking, called their topology. Physicists Create Long-Sought Topological Quantum States 2023-05-10T04:00:00Z These recent studies have opened the door for scientists to study topology in a whole host of other fluids. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z In the field of topology, mathematicians study shapes, as they would in geometry, but they imagine these shapes are made from an ever elastic rubber. Math’s ‘Hairy Ball Theorem’ Has Surprising Implications 2023-08-18T04:00:00Z Last year, Dennis P. Sullivan, a professor of mathematics at Stony Brook University and the City University of New York Graduate Center, received the Abel for work in topology, the study of space and shapes. Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature 2023-03-22T04:00:00Z Dr. Segerman’s more formal investigations are in topology, the study of geometric objects without regard for lengths or angles. A New Puzzle Turns Earth Into a Rubik’s Cube, But More Complex 2023-01-01T05:00:00Z Mathematically, he explained, the design is inspired by the “mind-boggling” topology of a Klein bottle: a “non-orientable closed surface,” with no inside, outside, up or down. They’re Taking Jigsaws to Infinity and Beyond 2022-12-09T05:00:00Z “I was surprised to see that topology could be defined in fluid systems without periodic order,” said Anton Souslov, a theoretical physicist at the University of Bath in the U.K. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z There’s just one problem: a certain hirsute fact from topology mandates that isotropic antennas can’t exist. Math’s ‘Hairy Ball Theorem’ Has Surprising Implications 2023-08-18T04:00:00Z In contrast to the relatively simple and rigid structures that characterize linear algebra, TDA is grounded in topology, a branch of mathematics that studies pliable, stretchy shapes. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z As an old topology joke goes: “A topologist is somebody who can’t tell the difference between a coffee mug and a doughnut.” A New Puzzle Turns Earth Into a Rubik’s Cube, But More Complex 2023-01-01T05:00:00Z In a quantum computer that exploits topology, information is not encoded locally in the state of each qubit but is woven across the material globally. New Phase of Matter Opens Portal to Extra Time Dimension 2022-07-26T04:00:00Z Researchers are studying topology in fluids from magnetized plasmas to collections of self-propelled particles; Delplace and Venaille are wondering whether the dynamics of stellar plasma might also resemble a topological insulator. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z This network topology illustrates how a Thread border router will work in a smart home with Matter devices. Apple, Amazon, and Google’s Thread border routers can now coexist on a single Thread network 2022-07-19T04:00:00Z Because its practitioners assume that all shapes are arbitrarily flexible, topology is often called rubber sheet geometry. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z Now we are looking at the topology of the home. What Matter will and won’t do according to a Google smart home exec 2022-05-10T04:00:00Z Sullivan was recognized for his work on topology, which investigates how you can bend, stretch or twist a shape without changing its basic nature. Math in 3-D: Q&A with Abel Prize Winner Dennis Sullivan 2022-04-05T04:00:00Z Together, the ideas highlight the ubiquity of topology in our physical world, from condensed matter to the fluids flowing on Earth. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z US mathematician Dennis Sullivan has won one of the most prestigious awards in mathematics, for his contributions to topology—the study of qualitative properties of shapes—and related fields. Virtuoso Mathematician Who Reshaped Topology Wins Abel Prize 2022-03-28T04:00:00Z Noise often jiggles the underlying data, but the topology remains the same—revealing robust features of the system. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z There are other, looser analogies among these categories and the ones students encounter in topology or analysis courses, and these similarities enable them to absorb the new material more quickly. Infinity Category Theory Offers a Bird’s-Eye View of Mathematics 2021-09-14T04:00:00Z You helped develop the field of string topology, which combines quantum mechanics and classical physics with topology. Math in 3-D: Q&A with Abel Prize Winner Dennis Sullivan 2022-04-05T04:00:00Z When Loving, whose research focuses on low-dimensional topology and geometric group theory, was in graduate school, she says, she “felt like I literally couldn’t win.” Modern Mathematics Confronts Its White, Patriarchal Past 2021-08-12T04:00:00Z Mathematicians had realized in the mid-1900s that the topology of manifolds had vastly different behaviour depending on the number of dimensions of the object, Sullivan says. Virtuoso Mathematician Who Reshaped Topology Wins Abel Prize 2022-03-28T04:00:00Z They converted each of these maps into a simplicial complex and analyzed how its shape changed in time using the tools of topology. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z “What’s on there isn’t research—it’s all standard mathematics that a typical Ph.D. student would learn in a topology class,” Terilla says. The Art of Mathematics in Chalk 2021-04-26T04:00:00Z So string topology was just a very simplified mathematical version of what they were talking about, which we could actually prove mathematically and then discuss. Math in 3-D: Q&A with Abel Prize Winner Dennis Sullivan 2022-04-05T04:00:00Z The agency then provides tips to researchers to help identify objects and topology depicted in the images. Spy agency to cast China’s clandestine military buildup into daylight 2021-03-21T04:00:00Z At that time, the field of topology was burgeoning, centred around efforts to classify all possible manifolds. Virtuoso Mathematician Who Reshaped Topology Wins Abel Prize 2022-03-28T04:00:00Z Thanks to these technologies, the uses of topology, which until recently seemed to be no more than an abstract, if amusing, branch of mathematics, are burgeoning. How Squishy Math Is Revealing Doughnuts in the Brain 2022-09-26T04:00:00Z Matching Shapes A coffee cup and a doughnut are famously “the same” shape according to the mathematical field of topology, which categorizes surfaces by how many holes they contain. The Art of Mathematics in Chalk 2021-04-26T04:00:00Z Johann Benedict Listing, a younger mathematician, coined the term “topology” for the study of surfaces, and in conducting that research, independently determined the properties of the Möbius strip. The Timeless Journey of the Möbius Strip 2021-01-16T05:00:00Z A psychological topology, this – one marked with hillocks of anxiety and peaks of alarm. Landscape of fear: why we need the wolf 2020-11-24T05:00:00Z Jones won mathematics’ top prize for an invention that revolutionized the field of topology, the study of knots and other shapes. Daily briefing: What a ski resort outbreak can teach us about travel restrictions 2020-09-30T04:00:00Z In 1990, he became the first New Zealander to be awarded the Fields Medal — for an invention that revolutionized the field of topology, the branch of maths that studies knots and other shapes. Vaughan Jones (1952–2020) 2020-09-28T04:00:00Z It was topology that was making the material’s resistance robust to small changes, allowing it to change in only discrete jumps. The mathematician who helped to reshape physics 2020-08-03T04:00:00Z This is what Michalakis and Hastings achieved, making the link between topology and the quantum Hall effect ironclad. The quantum Hall effect continues to reveal its secrets to mathematicians and physicists 2020-07-28T04:00:00Z Mathematician Spyridon Michalakis tells us how he helped to solve the problem using a field of mathematics called topology, which studies the fundamental properties of shapes. Quarantine Lessons from Lobsters, Guppies, Finches and Galileo 2020-07-14T04:00:00Z With the agreement of the Icelandic government, U.S. authorities created fake classified documents for Sabu to feed Assange, including an ersatz map purporting to show the computer network topology of the government. Justice Department broadens case against Julian Assange 2020-06-24T04:00:00Z The problem is one of the long-standing mysteries of knot theory, which is a branch of topology, a kind of geometry that looks at the nature of spaces. Graduate student untangles nature of Conway knot 2020-05-22T04:00:00Z Conway’s discovery of a new knot invariant — used to tell different knots apart — called the Conway polynomial became an important topic of research in topology. John Horton Conway (1937–2020) 2020-05-22T04:00:00Z Dr. Conway’s boundless curiosity produced profound contributions to number theory, game theory, coding theory, group theory, knot theory, topology, probability theory, algebra, analysis, combinatorics and more. John Horton Conway, a ‘Magical Genius’ in Math, Dies at 82 2020-04-15T04:00:00Z “We will see on each journey what the energy consumption will be depending on the geography and topology,” he said. Powered by hydrogen, Hyundai's trucks aim to conquer the Swiss Alps 2020-02-28T05:00:00Z Zeng and co-workers’ results pave the way for studying topology in a previously inaccessible part of the electromagnetic spectrum. Quantum cascade laser lives on the edge 2020-02-11T05:00:00Z In topology, his proof of the Poincare´ Conjecture in dimension 1, showing that the unit circle is the only simply connected compact 1-manifold without boundary, sent topology into a decade-long tailspin. An Introduction to the Collected Works of Frederick D. Funkle 2020-01-27T05:00:00Z Harriss chose to talk about the Gauss-Bonnet theorem, which relates the topology of a two-dimensional surface to its geometry. Once More, With Turning 2020-01-11T05:00:00Z This highly symmetric, cage-like shape was first described by Archimedes, and the rules that guide the topology of polyhedra were first developed by Descartes. The nano-revolution spawned by carbon 2019-10-27T04:00:00Z This led the pair to derive a ‘magic wand theorem’ in 2013, given this name because it brings together aspects of topology, dynamical systems and geometry to easily solve many previously stubborn mathematics problems. First Ever Picture of a Black Hole Scoops $3-Million Prize 2019-09-05T04:00:00Z This led the pair to derive a ‘magic wand theorem’ in 20139, given this name because it brings together aspects of topology, dynamical systems and geometry to easily solve many previously stubborn mathematics problems. First ever picture of a black hole scoops US$3-million prize 2019-09-04T04:00:00Z Automated tools are needed to design the layout and topology of circuits and mechanical components. Skin sensors are the future of health care 2019-07-16T04:00:00Z Another study, published2 last month in Nature, describes hints of a fragile state in the electrons of a carbon-based device — which, if confirmed, would be the first experimental evidence for fragile topology. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z Zhuang, who is at Harvard University in Cambridge, Massachusetts, is one of a growing number of researchers charting the topology of the genome to decode the relationship between chromatin structure and function. The new techniques revealing the varied shapes of chromatin 2019-05-05T04:00:00Z A theme of much of his work was topology, and how it can lead to non-trivial configurations within the constituent parts of a system. David J. Thouless (1934-2019) 2019-05-01T04:00:00Z To these, he applied quantum physics and topology, a branch of mathematics. David Thouless, Nobel-winning physicist who explored strange states of matter, dies at 84 2019-04-13T04:00:00Z Beginning in the 1970s, Thouless pioneered the use of ideas from the mathematical branch of topology to understand the strange physics of atom-thin materials. New hominin species, asteroid explosion and Sydney Brenner dies 2019-04-09T04:00:00Z At first, physicists weren’t sure whether fragile topology was important, but that changed after a surprising discovery in March 2018. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z Uhlenbeck pioneered the field of geometric analysis, which combines the technical power of analysis—a branch of math that extends and generalizes calculus—with the more conceptual areas of geometry and topology. Top stories: Jack the Ripper, engineering coral, and the first woman to win math’s Nobel 2019-03-22T04:00:00Z Uhlenbeck won for her foundational work in geometric analysis, which combines the technical power of analysis—a branch of math that extends and generalizes calculus—with the more conceptual areas of geometry and topology. Founder of geometric analysis honored with Abel Prize 2019-03-19T04:00:00Z It ends with a twist: Yau does not believe that the Poincaré conjecture — the most important question in topology in the twenty-first century — has truly been settled. The wild side of discovery, a history of information warfare, and the immune system uncovered: Books in brief 2019-03-12T04:00:00Z She had entered graduate school interested in geometry and topology, but when she encountered this theorem in a class by her soon-to-be-advisor, she switched gears and decided to go into mathematical physics. Pinning Down Uncertainty 2019-03-02T05:00:00Z Whereas strong topology manifests in known, measurable ways, fragile topology might be subtler. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z But this case exemplifies a broader category of would-be topological materials in which the natural formation of defects can be fatal to topology. Beware of plausible predictions of fantasy materials 2019-02-26T05:00:00Z Analysis focuses on the differential equations governing variations of surface area, whereas geometry and topology focus on the minimal surface representing a solution to the equations. Founder of geometric analysis honored with Abel Prize 2019-03-19T04:00:00Z Like all insulators, these materials do not conduct electricity in bulk, but do so at their surfaces — because of quantum-mechanical phenomena best understood using tools from the mathematical field of topology. Shoucheng Zhang (1963–2018) 2019-01-22T05:00:00Z His most famous achievement, the Atiyah–Singer index theorem — which he proved in 1963 with US mathematician Isadore Singer — linked the solutions of differential equations to the geometry and topology of space. Plants on the Moon, US emissions spike and fish die-off 2019-01-15T05:00:00Z Still, fragile topology is bound to affect materials’ behaviour, some physicists say, because it is even more ubiquitous than strong topology. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z One would expect that further structures are vulnerable to developing spontaneous magnetism, defeating the high symmetry that yields topology. Beware of plausible predictions of fantasy materials 2019-02-26T05:00:00Z Sir Michael, who worked at Cambridge University before he retired, made outstanding contributions to geometry and topology. Mathematician Sir Michael Atiyah dies 2019-01-12T05:00:00Z These features are described by the mathematics of topology, and the materials are dubbed topological insulators. Imprisoned academics, China’s Moon lander and AI moral code 2018-12-11T05:00:00Z Next, engineers created the basic topology of the virtual environment using a traditional game engine. Nvidia has created the first video game demo using AI-generated graphics 2018-12-03T05:00:00Z They systematically searched for fragile topology across a database of known crystals, and found hundreds of thousands of examples of the phenomenon. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z Theorists like to average these motifs out, and so might miss or mistake cases of topology. Beware of plausible predictions of fantasy materials 2019-02-26T05:00:00Z These theorems often tie algebra and topology together in interesting and sometimes surprising ways. Math, Quilting and Activism 2018-10-14T04:00:00Z "The templates include session protocol, network topology, routing, and social templates." Apple patent could kill robocalls 2018-10-12T04:00:00Z A giant in his field, Atiyah has made major contributions to geometry, topology, and theoretical physics. Skepticism surrounds renowned mathematician’s attempted proof of 160-year-old hypothesis 2018-09-24T04:00:00Z Now, the first experimental hints of fragile topology are emerging. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z Properties of materials — such as colour, hardness, conductivity, stability, topology or magnetism — exist in certain substances and not others. Beware of plausible predictions of fantasy materials 2019-02-26T05:00:00Z The interior is a topology of the familiar, the amortized-by-the-million, from seats to digital displays to switch assemblies. 2019 Volkswagen Jetta: Return of the Great Cheap Car 2018-08-10T04:00:00Z Whenever two materials of different topology are brought into contact, gapless states must form at the interface. Topological states engineered in narrow strips of graphene 2018-08-07T04:00:00Z Topological materials derive their unusual features from their topology. Thousands of exotic ‘topological’ materials discovered through sweeping search 2018-08-07T04:00:00Z Fragile topology might be easier to observe experimentally in devices that carry light than in solid materials. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z If you sit down and think carefully about the topology, you'll see there's a little more going on in Gleaming Lights of the Souls than just the three-torus. Stepping into a Three-Torus 2018-06-30T04:00:00Z To change the doughnut to a pretzel, however, you would have to poke new holes into it, changing its topology. What Are the Limits of Manipulating Nature? 2018-05-25T04:00:00Z Seeking applications for 3D printing, Michael McAlpine and his colleagues at the University of Minnesota in Minneapolis used a 3D scanner to map the topology of a hand. Human hand electrified with 3D printer 2018-04-26T04:00:00Z In materials, topology applies not to the shape of a solid object but to the geometry of an abstract description of its electrons’ quantum states. Thousands of exotic ‘topological’ materials discovered through sweeping search 2018-08-07T04:00:00Z Arguably, there is more common ground here with physicists studying topology, whether in the connectivity of complex networks or in the handedness of electron band structures of ‘topological matter’. Asymmetry symposium unites economists, physicists and artists 2018-03-14T04:00:00Z We confirm the non-trivial topological phase using spectroscopic measurements and by identifying corner states that result from the bulk topology. A quantized microwave quadrupole insulator with topologically protected corner states 2018-03-13T04:00:00Z Yang, K., Guo, Y. & Ding, M. D. Quantifying the topology and evolution of a magnetic flux rope associated with multi-flare activities. Magnetic cage and rope as the key for solar eruptions 2018-02-06T05:00:00Z For more than a century, topology was mostly a pure-maths affair. Maths classification is getting a revision 2018-02-06T05:00:00Z The newly released catalogues classify all non-magnetic materials with known crystal structures by their topology, using methods published last year. Thousands of exotic ‘topological’ materials discovered through sweeping search 2018-08-07T04:00:00Z This is high enough to visualize how mutations change the composition, topology and structure, and by inference the function, of the affected complex. Technology to watch in 2018 2018-01-23T05:00:00Z Grand Staircase, a natural wonderland of ancient topology and fossilized prehistory, is another. Opinion \| Trump’s radical monuments reduction will sully precious lands 2017-12-06T05:00:00Z They could make out a volcano, then a port — the topology of Central America. The Coast Guard’s ‘Floating Guantánamos’ 2017-11-20T05:00:00Z The theory has its roots in topology — the study of shapes and their arrangements within one another — which includes knot theory and higher-dimensional spaces. Maths classification is getting a revision 2018-02-06T05:00:00Z The researchers plan to add the ability to check a material’s topology, and certain related features, to the popular Bilbao Crystallographic Server. Thousands of exotic ‘topological’ materials discovered through sweeping search 2018-08-07T04:00:00Z Many dedicated researchers continue to find new ways to apply his fundamental ideas to algebra, geometry and topology. Vladimir Voevodsky (1966–2017) In topology, the word end comes up when you start talking about infinite surfaces. A Few of My Favorite Spaces: The Loch Ness Monster 2017-11-05T04:00:00Z He uses basic geometry and algebra quite a bit—and even sometimes a little combinatorics or topology. Are All Fish the Same Shape If You Stretch Them? 2017-10-25T04:00:00Z Among the fields in which he made contributions are the homotopy theory of schemes, algebraic K-theory, and interrelations between algebraic geometry and algebraic topology. Vladimir Voevodsky, acclaimed mathematician who won Fields Medal, dies at 51 2017-10-07T04:00:00Z Last year, three researchers won for their work in the field of topology. Three Americans win Nobel Prize in physics for gravitational wave discovery 2017-10-03T04:00:00Z The phylogenetic tree shows the topology and divergence times for 15 plant species. The Apostasia genome and the evolution of orchids : Nature : Nature Research 2017-09-12T04:00:00Z She became a full professor at Stanford University in California in 2008, by which time she was considered a leader in the fields of hyperbolic geometry, topology and dynamics. Maryam Mirzakhani (1977-2017) : Nature : Nature Research 2017-09-05T04:00:00Z For her favorite theorem, Dr. Lawrence chose the classification of compact surfaces, one of the best theorems from a first topology class. Emille Davie Lawrence's Favorite Theorem 2017-08-26T04:00:00Z Nature reporters discuss the strange world of topology, and why it’s proving powerful in physics. The strange topology that is reshaping physics 2017-07-18T04:00:00Z In the past decade or so, principles and ideas from the mathematical exploration of a field called topology have found their way into the laboratories of condensed-matter physicists. All shook up over topology 2017-07-18T04:00:00Z The phylogenetic tree shows the topology and divergence times for 15 plant species. The Apostasia genome and the evolution of orchids : Nature : Nature Research 2017-09-12T04:00:00Z It’s flat, white, no topology… and it’s mind blowing. A SpaceX engineer and marine biologist explain how they got picked to be NASA astronauts 2017-06-09T04:00:00Z A central theme in topology—and mathematics in general—is determining whether two spaces are the same or not. A Few of My Favorite Spaces: The Poincaré Homology Sphere 2017-06-04T04:00:00Z Like the electron’s spin, this topology occurs in an abstract space. The strange topology that is reshaping physics 2017-07-18T04:00:00Z In particular, the roots of the interactions between physics and topology go deeper, and many of the major breakthroughs in topology of the past few decades were inspired by physics ideas. All shook up over topology 2017-07-18T04:00:00Z A partially condensed maximum likelihood topology is shown. The crown-of-thorns starfish genome as a guide for biocontrol of this coral reef pest : Nature : Nature Research 2017-04-04T04:00:00Z Hence, design strategies that assume a topology or other structural blueprint will often fail. Functional materials discovery using energy–structure–function maps : Nature : Nature Research 2017-03-21T04:00:00Z “The results of this study challenge more than a century of dogma and recover an unexpected tree topology that necessitates fundamental reassessment of early dinosaur evolution,” Mr. Baron and his supervisors write. Shaking Up the Dinosaur Family Tree 2017-03-22T04:00:00Z Branch values represent the percentage of 1,000 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z Much of the work involves a field of maths known as topology, which describes properties of matter at large and small scales. Scots awarded Nobel Prize in Physics - BBC News 2016-12-10T05:00:00Z A partially condensed maximum likelihood topology is shown. The crown-of-thorns starfish genome as a guide for biocontrol of this coral reef pest : Nature : Nature Research 2017-04-04T04:00:00Z At a press conference, he was tasked with explaining the motivation for awarding this year’s physics prize to David Thouless, Duncan Haldane and Michael Kosterlitz, who brought topology into physics in unexpected ways. Being able to explain your work to passers-by is laudable — but not always possible 2016-11-15T05:00:00Z Computational topology is already employed in tasks as diverse as loading goods at dockyards and studying the way protein molecules fold, so many topological algorithms already exist. Listen to the music of the traffic in the city 2016-10-20T04:00:00Z Branch values represent the percentage of 1,000 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z Their work called on an abstract mathematical field called topology, which presents a particular way to describe some properties of matter. Tennessee editorial roundup 2016-10-05T04:00:00Z "In the world of topology, changing from a normal conductor to a superconductor might be the equivalent of a bagel transforming into a bun," The Guardian reports. 2016 Nobel Prize in physics awarded for revealing ‘the secrets of exotic matter’ 2016-10-04T04:00:00Z Topology is a relatively young branch of maths: when Hilbert made his list of open problems, he included few problems from topology. Being able to explain your work to passers-by is laudable — but not always possible 2016-11-15T05:00:00Z To avoid this, Dr Silva turned to computational topology—a field that finds algorithms to describe complicated shapes and surfaces as simply as possible. Listen to the music of the traffic in the city 2016-10-20T04:00:00Z Branch values represent the percentage of 500 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z What the three new Laureates did that made them so prize-worthy was, among other things, extend topology and phase changes to the fields of superconductivity and superfluidity. Why 'Exotic Matter' Matters—and Won the Nobel Prize in Physics 2016-10-04T04:00:00Z Thouless viewed the problem through the mathematical concept of topology, which describes properties that remain unchanged if an object is deformed but not torn. Physics of 2D exotic matter wins Nobel 2016-10-03T04:00:00Z The scientists used a branch of mathematics called topology to redefine what was thought possible in materials. British trio win Nobel prize in physics for work on exotic states of matter 2016-10-04T04:00:00Z Whether the algorithms of computational topology would show any similarities between those locales is an intriguing question. Listen to the music of the traffic in the city 2016-10-20T04:00:00Z Branch values represent the percentage of 1,000 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z Without a passport, in 1954 he made his way to the University of Cambridge, UK, where he earned a second doctorate, in 1959, for work on the lattices of logic and topology. Seymour Papert (1928-2016) : Nature : Nature Research 2016-09-13T04:00:00Z Haldane, meanwhile, was busy applying the concept of topology to chains of magnetic atoms. Physics of 2D exotic matter wins Nobel 2016-10-03T04:00:00Z His research spanned the scales of physics, explaining fundamental interactions among the building blocks of matter as well as theorizing about the topology of the cosmos. Tom Kibble, Physicist Who Helped Discover the Higgs Mechanism, Dies at 83 2016-07-19T04:00:00Z First, the abundance of specific microorganisms in each microbiota is sampled through a multinomial distribution, which leads to large numbers of negative correlations and induces a substantial bias in network topology. Microbiome-wide association studies link dynamic microbial consortia to disease : Nature : Nature Publishing Group 2016-07-05T04:00:00Z Branch values represent the percentage of 1,000 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z The phylogenetic profile and phylogenetic tree topology provided at PLAZA84 were used to reconstruct the most parsimonious series of gene gain and loss events. The genome of the seagrass Zostera marina reveals angiosperm adaptation to the sea : Nature : Nature Publishing Group 2016-01-26T05:00:00Z He zeroed in on a result from a 2008 paper by Mochizuki5 that linked the statement of the abc conjecture to another branch of maths called topology. Biggest mystery in mathematics in limbo after cryptic meeting 2015-12-15T05:00:00Z The data matrix in the original Supplementary Data 3 of this Letter reproduced the tree topology shown in Extended Data Fig. Corrigendum: A basal ichthyosauriform with a short snout from the Lower Triassic of China : Nature : Nature Publishing Group 2015-10-27T04:00:00Z A prize in mathematics went to a professor at the University of California, Berkeley, for work in low dimensional topology and geometric group theory. Science's 'Breakthrough' winners earn over $21 million in prizes 2015-11-08T05:00:00Z Branch values represent the percentage of 500 bootstrap replicates that support the topology. The genome of Chenopodium quinoa : Nature : Nature Research 2017-02-07T05:00:00Z Ian Agol won the Breakthrough prize in mathematics for proving two famous conjectures in topology, a branch of maths that deals with how shapes transform into each other. Academics land £2m prizes at Zuckerberg-backed 'science Oscars' 2015-11-08T05:00:00Z Agol made significant advances in geometric topology that completed a revolution in the field that began more than 30 years ago. 6 $3 -Million Breakthrough Prizes Awarded for Basic Science 2015-11-08T05:00:00Z The revised Supplementary Data 3 also reproduces the tree topology shown in Extended Data Fig. Corrigendum: A basal ichthyosauriform with a short snout from the Lower Triassic of China : Nature : Nature Publishing Group 2015-10-27T04:00:00Z She took science with the physicist Goldowski, but her most profound connection was with the German mathematician Max Dehn, with whom she studied topology, linear algebra and Euclidean geometry. Return to Black Mountain College 2015-10-06T04:00:00Z He said they also “challenged us to keep in mind the topology of the Gaza Strip,” one of the most densely populated patches on the planet. Red Cross Offers Workshops in International Law to Hamas 2015-08-15T04:00:00Z "Topology is all about squishing and stretching; distance shouldn't matter. But the infinite earring illustrates the delicate interplay between topology and geometry." Physics Week in Review: August 8, 2015 2015-08-08T04:00:00Z Dr Freedman aims to use ideas from topology—a description of how the world is folded up in space and time—to crack the problem. A little bit, better 2015-06-18T04:00:00Z There are four basic properties of sets that beginning analysis and topology students see: open, closed, compact, and connected. A Few of My Favorite Spaces: The Topologist's Sine Curve 2015-05-28T04:00:00Z The maze solver knows the topology at the outset but not the maze solution and needs time to find it. Readers Respond to “Inside the Neandertal Mind” 2015-05-24T04:00:00Z I taught a topology and geometry class this semester, and one of the topics we covered was spherical geometry. Grapefruit Math 2015-05-19T04:00:00Z What I find even more exciting is how this topology opens the door for more real-time experiences and applications. TeradataVoice: Creating The 'As-it-Happens' Business: Analytics Drives Action 2015-04-09T04:00:00Z In his Mathematical Objects, he ingeniously repurposes the cool calculations of mathematics to reveal the topology of desire. See How Man Ray Made Elliptic Paraboloids Sexy At This Phillips Collection Photography Exhibit 2015-02-13T05:00:00Z You would need to monitor for changes, additions or deletions to network topology. What's In Your Security Logging Solution? 2015-01-27T05:00:00Z But the knowledge of the topology does not mean that the maze solution is known or even exists. Readers Respond to “Inside the Neandertal Mind” 2015-05-24T04:00:00Z But Grothendieck found not one but two ways to endow all schemes, even the discrete ones, with a topology, and especially with the fundamental invariant called cohomology. Alexander Grothendieck (1928-2014) : Nature : Nature Publishing Group 2015-01-13T05:00:00Z Most of the Cloud services are provided on a “multitenancy” architecture which represents a shared infrastructure and/or resources topology along with the advantages of virtualization and remote access to new business models and services. Microsoft's Azure Cloud Platform Explained - Part 1 2014-12-19T05:00:00Z New link, doesn’t show up on the ARPAnet routing topology and best of all didn’t come out of my budget… Why Is VPN Not Illegal? 2014-12-17T05:00:00Z Understanding the complete topology of your environment is critical. OracleVoice: Are CIOs Finally Solving Their Cloud Identity Crisis? 2014-09-18T04:00:00Z The percentage of total support for each topology is given within each subpanel. Gibbon genome and the fast karyotype evolution of small apes : Nature : Nature Publishing Group 2014-09-09T04:00:00Z Probably his best known work was his discovery of how all schemes have a topology. Alexander Grothendieck (1928-2014) : Nature : Nature Publishing Group 2015-01-13T05:00:00Z Weave embeds a software defined network at the container level, so that applications and networks automatically share a common topology, and this is a great way to achieve consistency and scale. Weaving A Network Layer Into Docker - Weave Launches 2014-09-09T04:00:00Z Sullivan was recognised for his work in topology and the theory of dynamical systems, as well other fields of maths, including geometry, the theory of Kleinian groups, analysis and number theory. Balzan prizes honour plant ecologist and mathematician : Nature News Blog 2014-09-08T04:00:00Z The hearing also featured dueling acoustics experts who described the factors that determine how far the sound of gunfire travels in granular detail — everything from bullet caliber to humidity, topology and leaf cover on trees. Neighbors question plans for shooting ranges near Md.’s Sugarloaf Mountain The percentage of total support for each topology is given within each subpanel. Gibbon genome and the fast karyotype evolution of small apes : Nature : Nature Publishing Group 2014-09-09T04:00:00Z Consultants who specialize in this kind of analysis use structured interviews to determine the topology of relationships that already exist among your team members. Who are your organization's superheroes? Hint: Look beyond the C-Suite 2014-08-25T04:00:00Z After World War II, the United States military funded elite mathematical research in areas ranging from topology and differential equations to operations research and game theory. How Math Got Its ‘Nobel’ 2014-08-08T04:00:00Z Jacob Lurie, for instance, explores the intersection of topology and algebraic geometry. With Prizes Like This, Who Needs a Nobel? 2014-06-23T04:00:00Z The original flavor network already did a great job of highlighting the topology. A Look under the Hood of Online Data Visualization 2014-05-12T20:10:53Z These data reveal that the topology transformation in cuprates is linked intimately with the disappearance of the electronic symmetry breaking at a concealed critical point. [Report] Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking 2014-05-08T18:26:35.466Z What one farmer can do to boost yield or efficiency is not necessarily the same as for a farmer hundreds of kilometres away with different soil, microclimate, topology and methods. Agriculture: Engage farmers in research 2014-04-30T17:20:31.858Z River networks evolve as migrating drainage divides reshape river basins and change network topology by capture of river channels. [Research Article] Dynamic Reorganization of River Basins 2014-03-06T20:25:56.540Z Since this flow data includes source and destination, Boundary is able to always dynamically render and update the most current application topology regardless of changes. How Boundary's Brain Helps CIOs Conquer Accelerated Change 2014-02-20T10:52:00Z Both complementary approaches resulted in an identical topology. The genome of the recently domesticated crop plant sugar beet (Beta vulgaris) 2014-01-22T18:21:48.441Z Concomitantly, the coherent topology undergoes an abrupt transition, from arcs to closed contours, at the same . [Report] Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking 2014-05-08T18:26:35.466Z In this scenario, differential support for any alternative topology may be possible where the signal for the species topology is weak. Genome-wide signatures of convergent evolution in echolocating mammals 2013-10-09T17:21:23.207Z To try to understand the topology of vein architecture, Katifori and Magnasco built a simple network model trying to capture its essential features. In Natural Networks, Strength in Loops 2013-08-20T17:15:00.780Z The topology of our networks is shifting, too. Timid FCC Wonders If Internet Is Just A Fad 2013-05-15T17:55:42Z Kelvin's interpretation of the periodic table never went anywhere, but his ideas led to the blossoming of the mathematical theory of knots, part of the field of topology. Physicists Twist Water into Knots 2013-03-06T15:45:03.657Z Muzak has had a bizarre history, appropriately for a company that employs "audio architects" to chart a song's "topology". The malls are alive with the sound of Muzak 2013-02-13T12:30:01Z However, topology comparison requires marginalization of the site likelihoods with respect to substitution model, so that competing phylogenies’ goodness-of-fit may be directly compared. Genome-wide signatures of convergent evolution in echolocating mammals 2013-10-09T17:21:23.207Z In and , arrows indicate species that do not follow the protein family tree topology. Insights into bilaterian evolution from three spiralian genomes 2013-01-23T18:22:45.773Z “The goal was to completely unify topology and geometry in three dimensions,” Minsky said. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z In the early days of oil and gas exploration, geologists would largely rely upon topology at the surface of the earth to interpret the location of oil and gas accumulations in the subsurface. How The Internet Of Things Will Change Almost Everything 2012-12-17T23:43:35Z The stripped-down scenario is effectively the one-dimensional version of an encounter with ripped space-time, which occurs when the topology of a space changes radically. Fairly Simple Math Could Bridge Quantum Mechanics and General Relativity 2012-11-05T19:49:46.627Z It’s also useful to try to get accurate data about the topology of those waters. Dueling narratives: what's the job market like for scientists and is a Ph.D. worth it? 2012-09-07T22:15:02.830Z Scaffold positions for all displayed linkages are listed in . d, Cumulative rates of microsynteny change plotted on a fixed metazoan tree topology. Insights into bilaterian evolution from three spiralian genomes 2013-01-23T18:22:45.773Z To be incompressible, every topological feature of the surface must truly reflect some of the three-manifold’s intrinsic topology. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z Thurston’s numerous breakthroughs in the fields of geometry and topology influenced cosmologists’ theories about the shape of the Universe. Seven days: 24–30 August 2012 2012-08-29T17:50:17.730Z The desire to escape the mathematical headaches caused by such transformations is one motivation for string theory, which allows smooth changes in the topology of space-time, says Greene. Fairly Simple Math Could Bridge Quantum Mechanics and General Relativity 2012-11-05T19:49:46.627Z Perhaps the most prominent advocate of change was Thurston, who had won a Fields Medal—the mathematical equivalent of a Nobel Prize—in 1982 for delineating deep connections between topology and geometry. How William Thurston (RIP) Helped Bring About "The Death of Proof" 2012-08-24T18:15:05.483Z In and , arrows indicate species that do not follow the protein family tree topology. Insights into bilaterian evolution from three spiralian genomes 2013-01-23T18:22:45.773Z But one mathematician was already fluent in both three-manifold topology and the more abstract, combinatorial considerations that were the currency of Wise’s approach. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z Dr. Thurston’s fields of expertise were geometry and topology, the study of different possible shapes for multidimensional space. William P. Thurston, 65, Theoretical Mathematician, Dies 2012-08-23T03:29:23Z Shape, topology and size are all recapitulated,” he says. Tissue engineering: The brainmaker 2012-08-22T17:20:37.893Z It looks like either the mammal microRNAs evolved in a totally different way or the traditional topology is wrong. Phylogeny: Rewriting evolution 2012-06-27T17:50:32.213Z Scaffold positions for all displayed linkages are listed in . d, Cumulative rates of microsynteny change plotted on a fixed metazoan tree topology. Insights into bilaterian evolution from three spiralian genomes 2013-01-23T18:22:45.773Z This topology is based on a tree in McAliley et al. The once far and wide Siamese crocodile 2012-06-15T18:15:07.963Z He was in his mid-30s when he received the Fields Medal in 1982 for his work in deepening the connection between geometry and topology. William P. Thurston, 65, Theoretical Mathematician, Dies 2012-08-23T03:29:23Z The analysis reveals that “as these systems get larger and more mature, they converge on a similar topology,” says David Levinson, a engineer at the University of Minnesota, who was not involved in the study. How Subway Networks Evolve 2012-05-15T21:45:00.407Z The network’s topology was rich enough that if any one node dropped out, any others that had been relying on it could always find a new path. The Shadow Web 2012-02-16T14:45:00.247Z Jim McDaniels, the Director of Parks and Gardens for New Hanover County, where Wilmington is located, said the city’s topology and coastal location made it an ideal testing ground. World's First Commercial White Spaces Network Launching Today In North Carolina 2012-01-26T14:01:29Z Their analysis draws heavily on network topology, a methodology that biologists use to good effect. Economix Blog: Nancy Folbre: Who Rules the Global Economy? 2011-11-07T10:00:32Z It is the unique topology of the Passaic River, which winds through a dense region of New York City suburbs, that created the slowly rising flood zone. Water Continues to Rise in New Jersey and Connecticut 2011-08-31T01:30:31Z Depending on the final product, you will need to decide at the outset as to the final topology of the cleaned piece—sheet, tube or cone. Squid Studies: Southward bound: "We had all felt the pattern of the Gulf..."--J. Steinbeck and E.F. Ricketts, Sea of Cortez 2011-07-07T21:15:00.213Z His work spans the fields of topology, geometry and algebra, and displays "profound insights, vivid imagination, striking surprises and supreme beauty," the Norwegian academy said. Dimension-Cruncher: Exotic Spheres Earn Mathematician John Milnor an Abel Prize 2011-03-24T22:15:00.293Z By the rules of the mathematical field of topology, two spaces are considered equivalent if one can be bent, stretched, and perhaps folded until it looks like the other. Pioneer of High-Dimensional Spaces Wins Abel Prize 2011-03-23T23:05:21Z Radiation in the Dentist Chair A Doctor Goes to Cancer Camp They should publish the raw data; a tree-like topology of stepwise modifications and nodes reporting the positive or not-so-positive impact. Well: Appetizers From America's Test Kitchen 2010-11-23T16:15:00Z The combination of such high discharge, a very steep drop in elevation and a complex channel topology creates an extremely energetic flow regime. Questions on Congo River Fishes 2010-09-10T21:13:00Z In 2006, Perelman turned down another coveted award in mathematics, the Fields Medal, which honored "his contributions to geometry and his revolutionary insights into the analytical and geometric structure" of topology. Russian mathematician wins $1 million prize, but he appears to be happy with $0 2010-07-02T04:00:00Z Mathematicians have dissected and analyzed the possible shapes, or topologies, of space—whether in two, three or any number of dimensions—ever since the late 1800s, when the field of topology was established. Dimension-Cruncher: Exotic Spheres Earn Mathematician John Milnor an Abel Prize 2011-03-24T22:15:00.293Z “Fade is a function of geography and topology,” the graybeard said quietly. Someone Comes to Town, Someone Leaves Town I hope that you'll keep on the lookout for more detailed topology of the shape of ebooks and help me spot them here in plain sight. Ebooks: Neither E, Nor Books A well-known result in topology called the Brouwer Fixed-Point Theorem states that any continuous transformation of a surface into itself has at least one fixed point. The Jargon File, Version 4.0.0, 24 Jul 1996 Other common knocks on them are that they feature little overall plot, bad game topology, little competitive interaction, etc. —- not to mention the alleged horrors of the TinyMUD code itself. The Jargon File, Version 2.9.10, 01 Jul 1992 Usually such cliques have the topology of a ring, in order to make it easy for visitors to navigate through all of them. The Jargon File, Version 4.2.2, 20 Aug 2000 “It tries to draw logical maps of the network topology, with false coloring denoting packet loss between hops—that’s a pretty good proxy for distance between two APs.” Someone Comes to Town, Someone Leaves Town
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