Examples of using Theorems in English and their translations into Vietnamese
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There are theorems that say almost exactly that.".
In 1931, Kurt Godel published his incompleteness theorems.
Each field has its own theorems and formulas resulting in a great number of formulas to remember.
Mathematicians use these rules all the time to prove new theorems.
Gödel's Incompleteness Theorems entry by Panu Raatikainen in the Stanford Encyclopedia of Philosophy, November 11, 2013.
As the night wore on,Paul and Kenneth were standing in a corner discussing various theorems in mathematical economics.
In the 1950s Nash proved important theorems about PDEs, which are considered by his peers to be his deepest work.
Mathematical statements have their own moderately complex taxonomy, being divided into axioms,conjectures, theorems, lemmas and corollaries.
Although the singularity theorems of Penrose and myself, predicted that the universe had a beginning, they didn't say how it had begun.”.
As a student progresses through the major,students learn how to do complex calculations and the theorems behind these calculations.
Certainly the theorems which Galileo had proved on the centres of gravity of solids, and left in Rome, were discussed in this correspondence.
The calculus of Leibniz and Newton was reexamined by mathematicians such as Weierstrass in order torigorously prove the theorems thereof.
Instead he treated them as if they were purely mathematical theorems, in an axiomatic system much like the one Euclid created for geometry.
The School of Eudoxus, founded by Eudoxus,who developed the theory of proportion and magnitude and produced many theorems in plane geometry.
The MM theorems have therefore become the natural basis, or norm of comparison for theoretical and empirical analysis in corporate finance.
With origins in the construction of shape, number theory looks at figurate numbers,the characterization of numbers, and theorems.
And this is truetoo of the proofs of many much more difficult theorems, the full appreciation of which demands quite a high degree of technical proficiency.
The Ionian School, founded by Thales, who is often credited for having given the first deductive proofs anddeveloping five basic theorems in plane geometry.
It was to be an"Encyclopedia of Mathematics",containing all known formulae and theorems of mathematical science using a standard notation invented by Peano.
Galileo's description of an object moving with constant speed(perhaps the first application of mathematics to motion) required one definition,four axioms, and six theorems.
The Euler characteristic was originally defined for polyhedra andused to prove various theorems about them, including the classification of the Platonic solids.
You might remember Pythagoras from such theorems as the Pythagorean theorem--(Laughter) And he said:"There is geometry in the humming of the strings, there is music in the spacing of the spheres.".
Any set of things that obeys all the rules for one(or two) operation(s) is, by definition, a group(or ring),and obeys all theorems about groups(or rings).
This paper alsocontains what now are called the isomorphism theorems, which describe some fundamental natural isomorphisms, and some other basic results on Noetherian and Artinian modules.
If one can determine that there is enough matter in the universe, to focus our past light cone,one can then apply the singularity theorems, to show that time must have a beginning.
The singularity theorems apply to so-called classical space-times- that is, to descriptions of space and time that ignore quantum theory, that other great pillar of modern physics.
The function of a mathematician, is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done.”.
Work in set theory showed that almost all ordinary mathematics can be formalized in terms of sets,although there are some theorems that cannot be proven in common axiom systems for set theory.
It is one of the most important results in differential calculus, as well as one of the most important theorems in mathematical analysis, and is useful in proving the fundamental theorem of calculus.