Examples of using Mathematical object in English and their translations into Vietnamese
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It is simply a mathematical object in search of an application.
The semantic equalityis when two expressions represent the same mathematical object.
A number is a mathematical object used to count, measure, and also label.
The elements of X are usually called points,though they can be any mathematical object.
A number is a mathematical object that can be used for counting, measuring and labeling.
If the lines were to exist,they could also be represented as other kinds of mathematical objects.
The kind of existence mathematical objects have would clearly be dependent on that of the structures in which they are embedded;
In common usage, number may refer to a symbol,a word or phrase, or the mathematical object.
A group is said to act on another mathematical object X if every group element performs some operation on X compatibly to the group law.
In that case, a mathematician's knowledge of mathematics is one mathematical object making contact with another.
Finitists believe that a mathematical object exists only if it can be construed from natural numbers in a finite number of steps.
Benacerraf also developed the philosophy of mathematical structuralism, according to which there are no mathematical objects.
Yet somehow hidden behind these axioms is the monster simple group,a huge and extraordinary mathematical object, which appears to rely on numerous bizarre coincidences to exist.
Nor does it imply that behind the real evolution in time of the realworld there exists a complete correspondence to a timeless mathematical object.
A special kind of mathematical object in abstract algebra is called an"algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.
Arkani-Hamed andTrnka discovered that the scattering amplitude equals the volume of a brand-new mathematical object- the amplituhedron.
Finitism is an extreme form of constructivism, according to which a mathematical object does not exist unless it can be constructed from natural numbers in a finite number of steps.
The term representation of a group is also used in a more general sense tomean any"description" of a group as a group of transformations of some mathematical object.
In 1972, the number theorist Hugh Montgomeryobserved it in the zeros of the Riemann zeta function, a mathematical object closely related to the distribution of prime numbers.
Because most mathematical objects can be described in terms of strings, or as the limit of a sequence of strings, it can be used to study a wide variety of mathematical objects, including integers.
Max Tegmark's Mathematical universe hypothesis goes further than full-bloodedPlatonism in asserting that not only do all mathematical objects exist, but nothing else does.
And that can't be, since the Möbius band is themost tangible example of a non-orientable manifold, a mathematical object on which you can't fix a notion of inside and outside that will stay consistent as you travel around the space.
The additive inverse is defined as its inverse element under the binary operation of addition(see the discussion below),which allows a broad generalization to mathematical objects other than numbers.
The conclusion of Riemann's thesis was that the properties of acurved space are captured by a particular mathematical object which we know today as Riemann's curvature, and indicate with the letter‘R'.
In mathematics equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value orthat the expressions represent the same mathematical object.
A slightly less provocative approach is to posit that since the laws of physics can be represented mathematically, not only is their essential truth outside of time,but there is in the Platonic realm a mathematical object, a solution to the equations of the final theory, that is“isomorphic” in every respect to the history of the universe.
Hilbert's geometry is mathematical, because it talks about abstract points, but in Field's theory, these points are the concrete points of physical space,so no special mathematical objects at all are needed.
Max Tegmark's mathematical universe hypothesis(or mathematicism)goes further than Platonism in asserting that not only do all mathematical objects exist, but nothing else does.