| 单词 | partial differential equation |
| 例句 | By incorporating functional analysis and partial differential equation theory from mathematical analysis, this study extends previous investigations on two-dimensional fluid flows to encompass three-dimensional fluid dynamics with axial symmetry conditions. Groundbreaking mathematical proof: New insights into typhoon dynamics unveiled 2023-09-29T04:00:00Z “When I got my first text on partial differential equations, I learned what love is.” Pioneering Advanced Math from Behind Bars 2023-06-02T04:00:00Z Many of Caffarelli’s most celebrated results have to do with the regularity — or lack thereof — of the solutions of so-called partial differential equations. Mathematician Wins Abel Prize for ‘Smooth’ Physics 2023-03-23T04:00:00Z Yet, Dr. Caffarelli, 74, was able to make major progress in the understanding of partial differential equations even when complete solutions remain elusive. Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature 2023-03-22T04:00:00Z A partial differential equation is an equation that involves an unknown function of more than one independent variable and one or more of its partial derivatives. Calculus, Volume 3 2016-03-30T00:00:00Z He took four classes toward a bachelor’s degree: partial differential equations, applied numerical methods, mathematics in nature, and number theory and discrete mathematics. Taylor Heinicke postponed exams for Washington. Now, he could be its starting quarterback. 2020-12-28T05:00:00Z Martin Hairer transformed the field of stochastic partial differential equations.Credit: Discoverer of neural circuits for parenting wins US$3 million Breakthrough Prize 2020-09-09T04:00:00Z Their analysis involved running so-called partial differential equations on 1,008 saliva droplets and solving approximately 3.7 million equations in total. Six feet may not be far enough to stop coronavirus transmission in windy weather, study suggests 2020-05-19T04:00:00Z “Few other living mathematicians have contributed more to our understanding of partial differential equations than the Argentinian–American Luis Caffarelli,” the Abel Prize committee announced in a news release on Wednesday. Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature 2023-03-22T04:00:00Z The standard method of solving such a partial differential equation is by separation of variables, where we express the solution as the product of functions containing each variable separately. Calculus, Volume 3 2016-03-30T00:00:00Z Nirenberg transformed the field of partial differential equations, and was known as a poser of problems that stretched the limits of research in mathematics and beyond. Daily briefing: Retreating glacier reveals uncharted island in Antarctica 2020-02-23T05:00:00Z The Abel Prize cited “her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.” In Bubbles, She Sees a Mathematical Universe 2019-04-08T04:00:00Z The academy cited her “pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.” The "Fantastic" Feeling of a Breakthrough: Q&A with Math Prize Winner Karen Uhlenbeck 2019-03-27T04:00:00Z “What you’re trying to figure out is things about the shape of this free boundary,” said Carlos Kenig, a mathematician at the University of Chicago who is also an expert on partial differential equations. Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature 2023-03-22T04:00:00Z The divergence theorem has many uses in physics; in particular, the divergence theorem is used in the field of partial differential equations to derive equations modeling heat flow and conservation of mass. Calculus, Volume 3 2016-03-30T00:00:00Z Uhlenbeck is legendary for her skill with partial differential equations, which link variable quantities and their rates of change, and are at the heart of most physical laws. Soap-bubble pioneer is first woman to win prestigious maths prize 2019-03-18T04:00:00Z Dr. Flores studies mathematical physics, partial differential equations, and harmonic analysis, so it is fitting that the theorem she chose to share on the podcast has a physics flavor. Pinning Down Uncertainty 2019-03-02T05:00:00Z In gauge theory, the equations I worked with are partial differential equations called the Yang-Mills equations, and they were very important in particle physics. The "Fantastic" Feeling of a Breakthrough: Q&A with Math Prize Winner Karen Uhlenbeck 2019-03-27T04:00:00Z As part of an Independent Learning Contract, an Evergreen option which allows students to earn credit for unique, self-directed study overseen by faculty, Beatty and Hastings would spend hours together, poring over partial differential equations. Math’s creative power: Countless ways to approach a problem | Provided by The Evergreen State College 2019-02-22T05:00:00Z In the early 1990s, Bourgain launched the modern era for dispersive, nonlinear partial differential equations. Jean Bourgain (1954–2018) 2019-02-05T05:00:00Z Figalli applies it to partial differential equations, which are the equations with several variables that most often arise in physics. Number-theory prodigy among winners of most coveted prize in mathematics 2018-07-31T04:00:00Z He is an expert on calculus of variations and partial differential equations. UK refugee wins 'biggest maths prize' 2018-08-01T04:00:00Z Years later, Nash openly wondered why he hadn’t won for his brilliant contributions to solving partial differential equations. Fields Medal was never meant for ‘the greatest mathematical genius’ 2018-01-16T05:00:00Z Sofia Kovalevskaia, the second woman ever to receive a Ph.D. in math, made breakthroughs in partial differential equations and mechanics in 19th-century Europe—inspired by nursery wallpaper made from pages of a calculus textbook. Tracking Wildlife, Looking for ETs and Other New Science Books 2017-09-01T04:00:00Z They covered partial differential equations, abelian functions, and the shape of Saturn’s rings. Review: Remembering Sofya Kovalevskaya 2017-07-03T04:00:00Z “If you are working on an efficient filtering system for water in Ethiopia, you will need to know more about mathematics, about partial differential equations,” Dr. Kozinski said. The Innovation Campus: Building Better Ideas 2016-08-04T04:00:00Z At the time, I was struggling with the baffling math of quantum mechanics, the partial differential equations that govern the physics of atoms, molecules and subatomic particles. My Love Affair With Relativity 2015-11-25T05:00:00Z Among mathematicians, Nash is best known for his work in real algebraic geometry and nonlinear partial differential equations. John Forbes Nash (1928-2015) : Nature : Nature Publishing Group 2015-06-23T04:00:00Z They had just returned from Norway, where Nash was awarded the prestigious Abel Prize for his contributions to the field of partial differential equations. John Nash's Legacy: A Mathematic Theory With Strategic Implications 2015-06-01T04:00:00Z This work on embeddings led him to partial differential equations, which are equations involving flux and rates of change. John Nash's unique approach produced quantum leaps in economics and maths 2015-05-24T04:00:00Z The Norwegian Academy of Science and Letters said Wednesday that the two “mathematical giants of the 20th century” made breakthroughs that have become “essential tools for the study of nonlinear partial differential equations.” American mathematicians Nash, Nirenberg win Abel math prize 2015-03-25T04:00:00Z In proving this theorem, Nash devised new methods for solving partial differential equations. 'Beautiful mind' John Nash adds Abel Prize to his Nobel 2015-03-24T04:00:00Z In May this year, Nash received the Abel prize from the Norwegian Academy of Science and Letters for his work on partial differential equations. John Forbes Nash (1928-2015) : Nature : Nature Publishing Group 2015-06-23T04:00:00Z Laurent Schwartz, the French mathematician whose work is considered key to the theory of partial differential equations, wrote that as a student he often felt stupid because he was among the slowest math-thinkers in class. Slow down: Math prof says timed testing can harm skills 2015-02-09T05:00:00Z He devised a way to solve a type of partial differential equation that hitherto had been considered impossible. John Nash's unique approach produced quantum leaps in economics and maths 2015-05-24T04:00:00Z Hairer won for his "outstanding contributions to the theory of stochastic partial differential equations", which contain terms that are inherently random. Fields Medal mathematics prize won by woman for first time in its history 2014-08-12T04:00:00Z Nirenberg is particularly fond of methods involving inequalities, which often crop up with partial differential equations. 'Beautiful mind' John Nash adds Abel Prize to his Nobel 2015-03-24T04:00:00Z Prof Hairer's award is specifically for his contribution to a particular type of equation, known as a partial differential equation or PDE. First female winner for maths medal 2014-08-12T04:00:00Z The new work by Garcke and his collaborators, Griffeath says, opens an avenue to using powerful mathematical constructs called partial differential equations to study complex snowflake dynamics. Snowflake Growth Successfully Modeled for the First Time 2012-03-16T11:15:00.237Z It concerned a major open problem concerning elliptic partial differential equations. John Nash's unique approach produced quantum leaps in economics and maths 2015-05-24T04:00:00Z It is what mathematicians call a partial differential equation, expressing the rate of change of the price in terms of the rates at which various other quantities are changing. The mathematical equation that caused the banks to crash 2012-02-12T00:05:19Z Some of the prizewinners’ most important work concerns an area called geometric analysis, in which partial differential equations are applied to the study of the shapes of surfaces and their higher-dimensional analogues, called manifolds. 'Beautiful mind' John Nash adds Abel Prize to his Nobel 2015-03-24T04:00:00Z We have thus two methods of solving the partial differential equation of the motion of a string. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 8 "Haller, Albrecht" to "Harmonium" 2012-01-02T03:00:22.443Z It is in this direction that further advance in the theory of partial differential equations must be looked for. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z This method leads to a system of partial differential equations to be satisfied by the stress-components. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z He explains the problem to me this way: "I could ask you to solve a third-order linear partial differential equation," he says. Is Cash the Answer? 2010-04-08T08:00:00Z This is known as Lagrange’s linear partial differential equation of the first order. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" For some kids, doing better on a geometry test is like solving a third-order linear partial differential equation, no matter the incentive. Is Cash the Answer? 2010-04-08T08:00:00Z |
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