Examples of using This theorem in English and their translations into Romanian
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In current language, this theorem can be formulated as follows.
Swiss mathematician Jakob Steiner proved this theorem in 1833.
Ernst Schröder had stated this theorem a bit earlier, but his proof, as well as Cantor's, was flawed.
The fundamental theorem of calculus states that the integral of a function f over the interval& 91; a, b& 93; can be calculated by finding an antiderivative F of f::Stokes theorem is a vast generalization of this theorem in the following sense.
In fact, Cantor's method of proof of this theorem implies the existence of an"infinity of infinities".
This theorem has many equivalent versions and analogs and has been used in the study of fair division problems.
Lovász's proof used the Borsuk-Ulam theorem and this theorem retains a prominent role in this new field.
This theorem has been known and used in the world of science especially since 1951, when the book HW Kuhn- A. W.
In bipartite graphs, the size of minimum vertex cover is equal to the size of the maximum matching; this is König's theorem.[16][17] An alternative andequivalent form of this theorem is that the size of the maximum independent set plus the size of the maximum matching is equal to the number of vertices.
Zermelo had proved this theorem in 1904 using the axiom of choice, but his proof was criticized for a variety of reasons.
More generally, given any centrally symmetric, bounded, open, and convex subset X of ℝn, one can define a norm on ℝn where the balls are all translated anduniformly scaled copies of X. Note this theorem does not hold if"open" subset is replaced by"closed" subset, because the origin point qualifies but does not define a norm on ℝn.
The most known application of this theorem is the attack against a bank or against a banking and finance system.
This theorem states that a continuous function that produces two values m and n also produces any value that lies between m and n.
He had two motivations for developing the axiom system: eliminating the paradoxes and securing his proof of the well-ordering theorem.[60]Zermelo had proved this theorem in 1904 using the axiom of choice, but his proof was criticized for a variety of reasons.[61] His response to the criticism included his axiom system and a new proof of the well-ordering theorem. .
Due to this theorem, several authors simplify the definition of similar triangles to only require that the corresponding three angles are congruent.[3].
But the only way that this theorem to be prove valid, legal speak, is to have evidence that was Abbey those who ordered the seizure of Nicola.
This theorem can be regarded as an abstract form of Fourier series, in which an arbitrary orthonormal basis plays the role of the sequence of trigonometric polynomials.
This theorem was first published in 1928 by John von Neumann, who is quoted as saying"As far as I can see, there could be no theory of games… without that theorem… I thought there was nothing worth publishing until the"Minimax Theorem" was proved".
Come here. Check out this radical theorem.
Kernel and image of group homomorphisms and the first isomorphism theorem address this phenomenon.
It is useful to master theskill of"proof by contradiction", in a number of cases it is the easiest way to prove the theorem in this way.