How To Use Four-dimensional In A Sentence
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can get a three-dimensional figure which shall represent the four-dimensional figure which we call the cuboid?
The Fourth Dimension Simply Explained
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There are some reports of amorphic, shape-changing UFOs that remind me of three-dimensional cross-sections of a moving four-dimensional object.
Posthuman Blues
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In 1908, one of Einstein's mathematics lecturers, Hermann Minkowski, presented relativity theory in geometric form - in the four-dimensional geometry of space and time.
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In my next story I posited humans in a four-dimensional cage, put there by more powerful off-stage aliens.
Archive 2010-02-01
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Thus, the entire geometry of a manifold can be formulated in terms of an atlas, so that it is not necessary to think of the manifold as really being a three dimensional surface lying in a four-dimensional space.
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Fortunately, in living systems certain conditions must be fulfilled for three-dimensional bodies to occur in four-dimensional space.
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He likened the complex process to "four-dimensional chess.
U.S. pushes for Yemen solution as Saleh vows return
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Still later, in Los Angeles, he lectured as a ‘World-Famous Mystic’ on prophecy, vision, cosmic consciousness, and four-dimensional space.
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Why space-time should be four-dimensional is a question that is normally considered to be outside the realm of physics.
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We shall find that the argument for four-dimensionality has a considerably greater force in that case.
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Therefore, another description of this four-dimensional sphere is that it is the set of all quadruples (a, b, c, d).
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For the extreme pathway matrix of this system, there are four singular values, indicating a four-dimensional cone residing in the nine-dimensional flux space.
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The real laws and their unchanging constants would exist in the four-dimensional space, and our three-dimensional section of it would not necessarily have unchanging constants associated with it.
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Julian: Your desire for a dinghy is merely the tesseract shadow cast by the four-dimensional dinghy itself
The Market Will Solve
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He showed that the physics inside a hypothetical universe with five dimensions and shaped like a Pringle is the same as the physics taking place on the four-dimensional boundary.
Discourse.net: Shadows on Plato's Cave: Giant Hologram Version
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One example, he said, is to confine all the forces of our universe to a four-dimensional plane known as a membrane, or "brane," which is sandwiched between other branes.
Science as a form of "faith"??
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They again use an extra dimension of space, imagining that our world is a three-dimensional ‘brane’ embedded in a four-dimensional space (plus one time dimension, as usual).
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Similarly, the world of physical phenomena which was briefly called world by Minkowski is naturally four-dimensional in the space-time sense.
Chapter 17. Minkowski’s Four-Dimensional Space
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But the ultimate theory of gravity should explain why the universe is four-dimensional and how those dimensions arose, say researchers trying to unify the theories of quantum mechanics and relativity.
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The theory that Paul described in particular involves a four-dimensional space plus one time dimension, which he called the bulk.
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To discover significant elements in any given sociocultural system of body language, we need to start with the physical and logical possibilities and impossibilities of the human body in four-dimensional space.
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Thus to a four-dimensional being things which we call symmetrical do not differ at all except in position.
The Fourth Dimension Simply Explained
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In [[mathematics]], a '' 'quaternion' '' is a four-dimensional [[object]] important in
Conservapedia - Recent changes [en]
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Since the work of Einstein, we know that the stage on which the universe acts out its drama is not three-dimensional space but four-dimensional spacetime, and moreover that stage, spacetime itself, is dynamic and plays its own part in the evolving action.
Stephen Hawking at 70: still the brightest star in the scientific universe
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A very important thing to remember: The dark star calculations are done for a three-dimensional Euclidean space, while the black hole calculations are done for a four-dimensional Lorentzian spacetime (there is a big difference between the two).
Objections to Kaku and Liu’s “How to Time Travel?”
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Did this spacetime really behave on large distances like a four-dimensional, extended object and not like a crumpled ball or polymer?
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One could imagine that, as a consequence of the dynamics, the extra six dimensions form a small compact space attached to each point in ordinary four-dimensional space-time.
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His fundamental new idea was that space and time had to be considered together as a single entity: a four-dimensional spacetime.
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Thus the "four-dimensional cube" receives a name, the "tesseract," and is said to be bounded by cubes.
The Fourth Dimension Simply Explained
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What exactly this means is hard to imagine, rather like trying to picture a four-dimensional cube.
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In the Theory of Relativity, time is no more an independent physical quantity - it is linked with space in four-dimensional space-time.
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The full four-dimensional space, or five-dimensional spacetime, is referred to as the bulk.
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It contains four-dimensional equivalents to our familiar three-dimensional geometrical objects-a four-dimensional cube, for example, known as a tesseract, that has sixteen corners and thirty-two edges to a cube's eight and twelve.
The New York Review of Books
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If anyone cares to do a nice 3-dimensional plot using geographic area described/coauthors/data sources, it might be an interesting study of overlaps and explain to the nonscientist readers how data can be mined for maximum number of publications, with discussion of how careers are created for one's graduate students and how graduate students, well, this would make it a four-dimensional plot if you add in grad students' PR methodology *cough*Hannity*cough*.
Mad as Hell
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It's also possible to picture each card as a point in four-dimensional space, where each of a point's four coordinates assumes one of three possible values.
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Unlike ordinary three-dimensional objects, these shapes live in four-dimensional - or higher - space and curve in on themselves as the sphere and torus do in three-dimensional space.
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Is time just a fourth dimension which, together with the three dimensions of space, helps to comprise a unitary four-dimensional manifold in which all physical objects and events somehow reside?
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He showed that the physics inside a hypothetical universe with five dimensions and shaped like a Pringle is the same as the physics taking place on the four-dimensional boundary
Matthew Yglesias » Is The Universe a Hologram? Should We Care?
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The four-dimensional data assimilation is to integrate the current and past data into a forecast model equation for providing time continuity and dynamic coupling.
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Mathematicians also study what they call the three-dimensional sphere - the set of all points a given distance from a center in four-dimensional space.
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Some indeed were revelling in the formulae of algebraical infinity and of twenty-four-dimensional space, like a child in the elementary class dealing with the four rules of arithmetic.
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Finally you can do a sort of four-dimensional chart plotting one variable on the horizontal axis, a second of the vertical, and a third reflected in the size of a circle representing the data point, and a fourth indicated by the color of the circle.
Data Visualization for Everyone « Steve Wildstrom on Tech
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Human gustatory representations are points in a four-dimensional state space, with each dimension coding for activity rates generated by gustatory stimuli in each type of taste receptor (sweet, salty, sour, bitter) and their segregated efferent pathways.
The Philosophy of Neuroscience
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If we have local coordinates defined, we can then represent the metric tensor in matrix form, where, for our four-dimensional spacetime, we will have a 4×4 matrix with elements gμν.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element
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He showed that the physics inside a hypothetical universe with five dimensions and shaped like a Pringle is the same as the physics taking place on the four-dimensional boundary.
Discourse.net: Shadows on Plato's Cave: Giant Hologram Version
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It was a three-dimensional façade of a four-dimensional matrix.
METAPLANETARY
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If we have local coordinates defined, we can then represent the metric tensor in matrix form, where, for our four-dimensional spacetime, we will have a 4×4 matrix with elements gμν.
Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element
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It is contained in four-dimensional space, and is defined as the set of points at a fixed distance from a given point, just as the two-dimensional sphere (skin of an orange or surface of the earth) is defined as the set of points in three-dimensional space at a fixed distance from a given point (the center).
Poincaré Conjecture « Anglican Samizdat
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In classical relativity theory, space-time is a four-dimensional construction wherein the three dimensions of space and one dimension of time are welded together.
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I like to know my place in four-dimensional space.
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Julian: Your desire for a dinghy is merely the tesseract shadow cast by the four-dimensional dinghy itself
The Market Will Solve
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In our four-dimensional universe, as ironical as it may sound, ‘distance’ will be the only crucial factor left in keeping two people together.
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In classical relativity theory, space-time is a four-dimensional construction wherein the three dimensions of space and one dimension of time are welded together.