| 单词 | coordinate system |
| 例句 | Descartes quickly realized how powerful his coordinate system was. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z He called them “false roots,” which explains why he never extended his coordinate system to the negative numbers. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z At the very center of the coordinate system—where the two axes cross—sits a zero. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Zero was at the center of the coordinate system, and zero was implicit in each geometric shape. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Eventually she leads us toward more abstract concepts such as the polar coordinate system, a graphical approach to defining a point using distance and angle, as well as irrational numbers and decimals that repeat infinitely. Today’s Deep-Sea Explorers Are Mineral Miners and Ultrawealthy Hobbyists 2023-06-20T04:00:00Z And whereas Ptolemy based his coordinate system on the ecliptic, Hipparchus used the celestial equator, a system more common in modern star maps. First Known Map of Night Sky Found Hidden in Medieval Parchment 2022-10-20T04:00:00Z In our chosen coordinate system, plus means the quantity is to the right and minus means it is to the left. College Physics for AP Courses 2015-08-12T00:00:00Z These coordinate systems help us locate any object on the celestial sphere. Astronomy 2016-10-13T00:00:00Z Graph, on the same coordinate system, the inverse of the function shown below. College Algebra with Corequisite Support 2020-09-23T00:00:00Z We start with a standard Cartesian coordinate system. High School Statistics 2020-03-27T00:00:00Z A set of points in a rectangular coordinate system is the graph of a function if every vertical line intersects the graph in at most one point. Intermediate Algebra 2020-05-06T00:00:00Z Whether the acceleration a should be taken as +g or −g is determined by your choice of coordinate system. College Physics for AP Courses 2015-08-12T00:00:00Z Graph the second equation on the same rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z Be sure to show the scale you are using on your coordinate system. College Algebra with Corequisite Support 2020-09-23T00:00:00Z The polar coordinate system provides an alternative way to locate points in the plane. Calculus, Volume 3 2016-03-30T00:00:00Z Graph, on the same coordinate system, the inverse of the one-to one function shown. Intermediate Algebra 2020-05-06T00:00:00Z The three forces involved are not parallel, and so they must be projected onto a coordinate system. College Physics for AP Courses 2015-08-12T00:00:00Z TRY IT : : 4.6 Name the ordered pair of each point shown in the rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z A scatterplot is a collection of points plotted on the same coordinate system. College Algebra with Corequisite Support 2020-09-23T00:00:00Z In this first chapter, we examine coordinate systems for working in three-dimensional space, along with vectors, which are a key mathematical tool for dealing with quantities in more than one dimension. Calculus, Volume 3 2016-03-30T00:00:00Z In the following exercises, graph, on the same coordinate system, the inverse of the one-to-one function shown. Intermediate Algebra 2020-05-06T00:00:00Z In order to specify the direction of motion, its displacement must be described based on a coordinate system. College Physics for AP Courses 2015-08-12T00:00:00Z We say this more formally in terms of the rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z TRY IT #1 Plot points in a rectangular coordinate system, then find a line through two of the data points. College Algebra with Corequisite Support 2020-09-23T00:00:00Z These systems have complicated modeling equations in the Cartesian coordinate system, which make them difficult to describe and analyze. Calculus, Volume 3 2016-03-30T00:00:00Z In the following exercises, graph each function in the same coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z For one-dimensional motion, this is a simple coordinate system consisting of a one-dimensional coordinate line. College Physics for AP Courses 2015-08-12T00:00:00Z In this chapter, we will study the rectangular coordinate system, which is the basis for most consumer graphs. Elementary Algebra 2020-04-22T00:00:00Z We can then graph the circle on a rectangular coordinate system using the center and radius. College Algebra with Corequisite Support 2020-09-23T00:00:00Z We call this system the three-dimensional rectangular coordinate system. Calculus, Volume 3 2016-03-30T00:00:00Z By finding distance on the rectangular coordinate system, we can make a connection between the geometry of a conic and algebra—which opens up a world of opportunities for application. Intermediate Algebra 2020-05-06T00:00:00Z If the student is looking to achieve a positive velocity and positive acceleration, what is the most sensible way to set up her coordinate system? College Physics for AP Courses 2015-08-12T00:00:00Z The rectangular coordinate system is also called the xy-plane or the ‘coordinate plane’. Elementary Algebra 2020-04-22T00:00:00Z Also, we often will need to adjust the axes in our rectangular coordinate system to different scales to accommodate the data in the application. College Algebra with Corequisite Support 2020-09-23T00:00:00Z In this text, we always work with coordinate systems set up in accordance with the right-hand rule. Calculus, Volume 3 2016-03-30T00:00:00Z A set of points in a rectangular coordinate system is the graph of a function if every vertical line intersects the graph in at most one point. Intermediate Algebra 2020-05-06T00:00:00Z Choose a convenient coordinate system and project the vectors onto its axes, creating two connected one-dimensional problems to solve. College Physics for AP Courses 2015-08-12T00:00:00Z The x-axis and the y-axis together form the rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z In addition, these types of integrals appear frequently when we study polar, cylindrical, and spherical coordinate systems later. Calculus, Vol 2 2016-03-30T00:00:00Z In this section, we use our knowledge of planes and spheres, which are examples of three-dimensional figures called surfaces, to explore a variety of other surfaces that can be graphed in a three-dimensional coordinate system. Calculus, Volume 3 2016-03-30T00:00:00Z Plot each point in a rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z The best choice for a coordinate system is one with an axis parallel to the velocity of the incoming particle, as shown in Figure 8.14. College Physics for AP Courses 2015-08-12T00:00:00Z In the rectangular coordinate system, every point is represented by an ordered pair. Elementary Algebra 2020-04-22T00:00:00Z The method for graphing a conic section with rotated axes involves determining the coefficients of the conic in the rotated coordinate system. Calculus, Vol 2 2016-03-30T00:00:00Z The Cartesian coordinate system provides a straightforward way to describe the location of points in space. Calculus, Volume 3 2016-03-30T00:00:00Z The solution of a system of linear inequalities is shown as a shaded region in the x, y coordinate system that includes all the points whose ordered pairs make the inequalities true. Intermediate Algebra 2020-05-06T00:00:00Z Figure 8.14 A two-dimensional collision with the coordinate system chosen so that m2 is initially at rest and v1 is parallel to the x -axis. College Physics for AP Courses 2015-08-12T00:00:00Z Name the ordered pair of each point shown in the rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z The polar coordinate system provides an alternative method of mapping points to ordered pairs. Calculus, Vol 2 2016-03-30T00:00:00Z Starting with polar coordinates, we can follow this same process to create a new three- dimensional coordinate system, called the cylindrical coordinate system. Calculus, Volume 3 2016-03-30T00:00:00Z The rectangular coordinate system is also called the xy-plane or the “coordinate plane.” Intermediate Algebra 2020-05-06T00:00:00Z Choose a coordinate system with the x -axis parallel to the velocity of the incoming particle. College Physics for AP Courses 2015-08-12T00:00:00Z TRY IT : : 4.5 Name the ordered pair of each point shown in the rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z However, if we change our coordinate system to something that works a bit better with circular patterns, the function becomes much simpler to describe. Calculus, Vol 2 2016-03-30T00:00:00Z Cylindrical and spherical coordinates give us the flexibility to select a coordinate system appropriate to the problem at hand. Calculus, Volume 3 2016-03-30T00:00:00Z The rectangular coordinate system is formed by two intersecting number lines, one horizontal and one vertical. Intermediate Algebra 2020-05-06T00:00:00Z Note that in both of the last two examples, we were able to make the mathematics easier by choosing a coordinate system with one axis parallel to one of the velocities. College Physics for AP Courses 2015-08-12T00:00:00Z In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z The polar coordinate system is well suited for describing curves of this type. Calculus, Vol 2 2016-03-30T00:00:00Z A thoughtful choice of coordinate system can make a problem much easier to solve, whereas a poor choice can lead to unnecessarily complex calculations. Calculus, Volume 3 2016-03-30T00:00:00Z We can plot these solutions in the rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z The most convenient coordinate system for motion on an incline is one that has one coordinate parallel to the slope and one perpendicular to the slope. College Physics for AP Courses 2015-08-12T00:00:00Z Graph y = −3x and y = −3 in the same rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z How can we use this coordinate system to describe spirals and other radial figures? Calculus, Vol 2 2016-03-30T00:00:00Z In the following example, we examine several different problems and discuss how to select the best coordinate system for each one. Calculus, Volume 3 2016-03-30T00:00:00Z We find three points whose coordinates are solutions to the equation and then plot them in a rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z We will repeatedly find that choosing an appropriate coordinate system makes problem solving easier. College Physics for AP Courses 2015-08-12T00:00:00Z Plot the points in a rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. Calculus, Vol 2 2016-03-30T00:00:00Z In each of the following situations, we determine which coordinate system is most appropriate and describe how we would orient the coordinate axes. Calculus, Volume 3 2016-03-30T00:00:00Z Also, we often will need to extend the axes in our rectangular coordinate system to bigger positive and negative numbers to accommodate the data in the application. Intermediate Algebra 2020-05-06T00:00:00Z For example, in projectile motion we always use a coordinate system with one axis parallel to gravity. College Physics for AP Courses 2015-08-12T00:00:00Z In the following exercises, plot each point in a rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z In the polar coordinate system, each point also two values associated with it: r and θ. Calculus, Vol 2 2016-03-30T00:00:00Z First we need to choose a coordinate system. Calculus, Volume 3 2016-03-30T00:00:00Z Here we will use this theorem again to find distances on the rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z Whenever we have two-dimensional vector problems in which no two vectors are parallel, the easiest method of solution is to pick a convenient coordinate system and project the vectors onto its axes. College Physics for AP Courses 2015-08-12T00:00:00Z In the following exercises, graph each pair of equations in the same rectangular coordinate system. Elementary Algebra 2020-04-22T00:00:00Z However, each point in the plane has only one representation in the rectangular coordinate system. Calculus, Vol 2 2016-03-30T00:00:00Z Cylindrical coordinate systems work well for solids that are symmetric around an axis, such as cylinders and cones. Calculus, Volume 3 2016-03-30T00:00:00Z Our first step is to develop a formula to find distances between points on the rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z In this case the best coordinate system has one axis horizontal and the other vertical. College Physics for AP Courses 2015-08-12T00:00:00Z To graph a piecewise-defined function, we graph each part of the function in its respective domain, on the same coordinate system. Calculus, Volume 1 2016-03-30T00:00:00Z The polar coordinate system appears in the following figure. Calculus, Vol 2 2016-03-30T00:00:00Z Now that we are familiar with the spherical coordinate system, let’s find the volume of some known geometric figures, such as spheres and ellipsoids. Calculus, Volume 3 2016-03-30T00:00:00Z Plot the endpoints and the midpoint on a rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z While there is evidence that ideas similar to Descartes’ grid system existed centuries earlier, it was Descartes who introduced the components that comprise the Cartesian coordinate system, a grid system having perpendicular axes. Algebra and Trigonometry 2015-02-13T00:00:00Z Using this coordinate system, the water extends from x = 2 to x = 10. Calculus, Volume 1 2016-03-30T00:00:00Z The center point is the pole, or origin, of the coordinate system, and corresponds to r = 0. Calculus, Vol 2 2016-03-30T00:00:00Z Instead, we can choose points at the intersections of grid lines and plot a sample of several vectors from each quadrant of a rectangular coordinate system in ℝ2 . Calculus, Volume 3 2016-03-30T00:00:00Z Plot the endpoints and the midpoint on a rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z The Cartesian coordinate system, also called the rectangular coordinate system, is based on a two-dimensional plane consisting of the x-axis and the y-axis. Algebra and Trigonometry 2015-02-13T00:00:00Z Invent a coordinate system where the ship’s bow—the single most important reference point in this Seussian landscape—serves as the axis around which everything else is oriented. Inside an Arctic Expedition, Natural History of Fragrance, Essays on Places in Peril, and More 2022-05-27T04:00:00Z To plot a point in the polar coordinate system, start with the angle. Calculus, Vol 2 2016-03-30T00:00:00Z The three-dimensional coordinate system is built around a set of three axes that intersect at right angles at a single point, the origin. Calculus, Volume 3 2016-03-30T00:00:00Z Now we will graph all three functions on the same rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z Consider the rectangular coordinate system primarily as a method for showing the relationship between two quantities. Algebra and Trigonometry 2015-02-13T00:00:00Z Today, thanks to global navigational satellite systems such as GPS, every measurement is part of a master global coordinate system. America Has Two Feet. It’s About to Lose One of Them. 2020-08-18T04:00:00Z This process generates a list of ordered pairs, which can be plotted in the polar coordinate system. Calculus, Vol 2 2016-03-30T00:00:00Z Figure 5.55 The spherical coordinate system locates points with two angles and a distance from the origin. Calculus, Volume 3 2016-03-30T00:00:00Z Plot the endpoints and the midpoint on a rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z Is it possible for a point plotted in the Cartesian coordinate system to not lie in one of the four quadrants? Algebra and Trigonometry 2015-02-13T00:00:00Z Instead of using stodgy Cartesian coordinates, Black Rock City is organized along polar coordinates, making its coordinate system unique among massive fire-themed desert art festivals. Burning Man's Mathematical Underbelly 2018-09-14T04:00:00Z In the rectangular coordinate system, the definite integral provides a way to calculate the area under a curve. Calculus, Vol 2 2016-03-30T00:00:00Z As with the other multiple integrals we have examined, all the properties work similarly for a triple integral in the spherical coordinate system, and so do the iterated integrals. Calculus, Volume 3 2016-03-30T00:00:00Z We look at a circle in the rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z To notate these, we can define a coordinate system, identifying the “starting point” at the intersection where they both started. Algebra and Trigonometry 2015-02-13T00:00:00Z And proving decay requires a coordinate system—referred to as a “gauge”—that allows you to measure the size of the waves. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z LeBron James has a geometric projection in his brain that acts as a computational coordinate system. Perspective | How is LeBron James always one move ahead? Let’s ask the scientists. 2018-05-17T04:00:00Z As stated before, spherical coordinate systems work well for solids that are symmetric around a point, such as spheres and cones. Calculus, Volume 3 2016-03-30T00:00:00Z We can then graph the circle on a rectangular coordinate system. Intermediate Algebra 2020-05-06T00:00:00Z Note that in defining the coordinate system, we specified both the starting point of the measurement and the direction of measure. Algebra and Trigonometry 2015-02-13T00:00:00Z Hintz and Vasy start with an approximate solution to the equations, based on an approximate coordinate system, and gradually increase the precision of their answer until they arrive at exact solutions and well-behaved coordinates. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z The brain’s navigation centre includes neurons called grid cells, which fire in patterns that generate an internal coordinate system similar to the grid on a paper map. Seniors who lose their way can blame their brain cells 2018-03-18T04:00:00Z An additional panel on the right illustrates the differences between baseline and week 54 images, computed by simple subtraction of the baseline from follow-up images, after co-registration to a common coordinate system. Addendum: The antibody aducanumab reduces Aβ plaques in Alzheimer’s disease : Nature : Nature Research 2017-06-20T04:00:00Z It’s a coordinate system, a kind of conceptual grid. Black Holes, Cosmic Collisions and the Rippling of Spacetime 2017-06-12T04:00:00Z Figure 25 shows the three components of the piecewise function graphed on separate coordinate systems. Algebra and Trigonometry 2015-02-13T00:00:00Z “After all, the universe does not hand you a preferred coordinate system.” To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z This change probably reduces the reliability of the brain’s internal coordinate system. Seniors who lose their way can blame their brain cells 2018-03-18T04:00:00Z This corrected slight translations, rotations, or focus-dependent magnification changes between sessions and yielded the location of each cell in the reference coordinate system. Neural ensemble dynamics underlying a long-term associative memory : Nature : Nature Research 2017-03-21T04:00:00Z In 1831 they began putting what they thought might be permanent geologic features onto a geographic grid, and they established a global coordinate system for Mars. What Mars Maps Got Right (and Wrong) Through Time When appropriate, sketch a picture or define a coordinate system. Algebra and Trigonometry 2015-02-13T00:00:00Z The fit between the coordinate system and space-time has to be good at the start and remain good throughout. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z He wanted to come up with a moving coordinate system that would make things easier to see, something like a virtual Steadicam. The Singular Mind of Terry Tao 2015-07-24T04:00:00Z The “grid cells” they found create a coordinate system by firing at regular spatial intervals as an animal explores a space. Brain positioning system wins medicine Nobel : Nature News Blog 2014-10-05T04:00:00Z The Mosers, who are from Norway, followed up on that research in 2005, finding what scientists dubbed “grid cells” that make up a coordinate system that allows us to navigate. Nobel prize in medicine awarded for discovery of brain’s ‘GPS’ It would then be helpful to introduce a coordinate system. Algebra and Trigonometry 2015-02-13T00:00:00Z First, your coordinate system might change shape in a way that makes it break down at certain points, just as latitude and longitude fail at the poles. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z These cells “constitute a coordinate system that allows for spatial navigation” and form circuits with the “place cells” O’Keefe had previously discovered. Nobel Prize Awarded For Discovery of Brain’s ‘Inner GPS’ One official at the Lanzhou Military Command said the new map would improve operations because of its use of a geocentric coordinate system. What to Make of China's New Maps 2014-08-24T04:00:00Z Giving it a name would require choosing a single language, a preferred coordinate system, violating general covariance, breaking the symmetry of a linguistic spacetime. Schrodinger’s Rats and The Search for Ultimate Reality [Excerpt] 2014-01-31T15:00:00Z To do so, we need to define the type of circle first, and then place that circle on a coordinate system. Algebra and Trigonometry 2015-02-13T00:00:00Z They are undefined points in your coordinate system that make it impossible to follow an evolving solution all the way through. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z Specifically, if the callosal paths express the transverse direction of a coordinate system and the projection paths as they appear in Catani . express the rostrocaudal, then they would need to remain distinct. [Technical Response] Response to Comment on “The Geometric Structure of the Brain Fiber Pathways” 2012-09-27T17:55:32.233Z Features on Vesta can be located using two coordinate systems — the subject of scientific wrangling. Space missions trigger map wars 2012-08-22T17:20:34.400Z By the way, if the trilinear coordinate system in this problem wasn't very intuitive, here's one way to think about it. Wordplay Blog: Numberplay: Sixteen Plates 2012-07-30T16:00:07Z Since there are a number of polar equations that cannot be expressed clearly in Cartesian form, and vice versa, we can use the same procedures we used to convert points between the coordinate systems. Algebra and Trigonometry 2015-02-13T00:00:00Z And in space-time, as on Earth, it’s hard to find a coordinate system that works everywhere. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z The essential features of this coordinate system are the same as those of the original one, viz. there are six coordinates connected by a quadratic equation, but this relation has in general a different form. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Brent Archinal, chairman of the IAU working group responsible for coordinate systems, says that the Dawn team is welcome to use an alternate system for its own purposes. Space missions trigger map wars 2012-08-22T17:20:34.400Z “It could be providing a spherical coordinate system that the animal could use for spatial positioning,” he said. Magnetic Field Sensed by Gene, Study Shows 2011-06-21T17:55:24Z To graph in the polar coordinate system we construct a table of and values. Algebra and Trigonometry 2015-02-13T00:00:00Z The second is that not every coordinate system works to identify every point in a space. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z In contrast to Pierre L’Enfant’s grandiose national capital, the street commissioners adopted what Reuben Skye Rose-Redwood, a geographer and expert on the grid, described as “a physical representation of the Cartesian coordinate system.” 200th Birthday for the Map That Made New York 2011-03-21T00:25:00Z The team established its own coordinate system, which not only corrected the pole, but also focused the prime meridian on Claudia, a 700-metre crater. Space missions trigger map wars 2012-08-22T17:20:34.400Z On the other hand, all coordinate systems K' moving relatively to K were to be regarded as in motion with respect to the �ther. Relativity: The Special and General Theory We use the complex plane, which is a coordinate system in which the horizontal axis represents the real component and the vertical axis represents the imaginary component. Algebra and Trigonometry 2015-02-13T00:00:00Z Second, a poorly fitting coordinate system might disguise the underlying physical phenomena it’s meant to measure. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z Collecting together all the results of ancient speculation, he so elaborated them into a coordinate system, that for two thousand years he reigned supreme in the schools. The Old Roman World, : the Grandeur and Failure of Its Civilization. The IAU’s coordinate system for Vesta is based on observations from NASA’s Hubble Space Telescope. Space missions trigger map wars 2012-08-22T17:20:34.400Z Now let us refer this domain to a random Gauss coordinate system or to a "mollusc" as reference-body K'. Relativity: The Special and General Theory The magnitude of a vector in the rectangular coordinate system is See Example 9. Algebra and Trigonometry 2015-02-13T00:00:00Z The trouble is, while the coordinate system is crucial, it’s not obvious which one to choose. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z On the other hand, all coordinate systems K1 moving relatively to K were to be regarded as in motion with respect to the æther. Relativity : the Special and General Theory But Russell says that the Dawn team will continue to publish using Claudia: “We cannot afford to change to a new coordinate system.” Space missions trigger map wars 2012-08-22T17:20:34.400Z Each of these orbits can be modeled by a conic section in the polar coordinate system. Algebra and Trigonometry 2015-02-13T00:00:00Z In the rectangular coordinate system, unit vectors may be represented in terms of and where represents the horizontal component and represents the vertical component. Algebra and Trigonometry 2015-02-13T00:00:00Z To describe how the shape of space-time evolves, you need a coordinate system—like lines of latitude and longitude—that tells you which points are where. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z The general form can be transformed into an equation in the and coordinate system without the term. Algebra and Trigonometry 2015-02-13T00:00:00Z Write the equations with and in the standard form with respect to the new coordinate system. Algebra and Trigonometry 2015-02-13T00:00:00Z But it’s not easy to find a coordinate system that works at every point in space-time and then continues to work as the shape of space-time evolves. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z Because we have representations of and in terms of the new coordinate system. Algebra and Trigonometry 2015-02-13T00:00:00Z You need a coordinate system that allows you to measure distances and identify points in space-time, just as lines of latitude and longitude allow us to define locations on Earth. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z The first thing to recognize about coordinate systems is that they’re a human invention. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z Both results involve new techniques for finding the right coordinate system for the problem. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z |
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