Results 141 to 150 of about 567,713 (175)
Some of the next articles are maybe not open access.
We derived that FLT ordered pair must be satisfied (X,Y,Z)=(1/2)*(G^n-R^n+L^n, G^n+R^n-L^n, G^n+R^n+L^n)Then by using this multiple identity theorem, we can find G=R+L.Then I think now we can prove FLT.
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TWO THEOREMS ON IDENTITIES IN MULTIOPERATOR ALGEBRAS
Russian Mathematical Surveys, 1969Two (unconnected) propositions on Ω-algebras with identical relations are proved. The first of these (Theorem 1, in § 1) generalizes to Ω-algebras a known fact from the theory of associative linear algebras, which asserts that every finite-dimensional algebra is an algebra with identical relations (more exactly, every algebra A of dimension m over a ...
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Jacobi's Two-Square Theorem and Related Identities
The Ramanujan Journal, 1999It is shown that Jacobi's two-square theorem is an almost immediate consequence of a famous identity of Jacobi \[ \prod_{n=1}^\infty (1-x^n)^3= \sum_{m=0}^\infty (-1)^m (2m+1) x^{\frac 12 m(m+1)}. \] Furthermore, the author draws combinatorial conclusions from two identities of Ramanujan, namely a formula for the number of representations of an integer
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Identity Theorems for Functions of Bounded Characteristic
Journal of the London Mathematical Society, 1998Suppose that \(f(z)\) is meromorphic of bounded characteristic in the unit disk \(\Delta: | z|< 1\). Then we say that \(f(z)\in {\mathcal N}\). It is classical in this case, that if \(z_j\in \Delta\), \[ | z_j |\to 1 \quad \text{as } j\to \infty, \qquad \text{and} \quad \sum(1- | z_j|)= \infty, \tag{1} \] then \(f(z_j)=0\) for all \(j\) implies \(f(z) \
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Multiple identity theorem, 배수항등식 정리
정수론에서 배수항등식에 대한 이론이다. 배수항등식이란, 등식을 만족하는 변수 순서쌍이 존재할 때, 예를들면 식이 변수 G,R,L에 대한 등식이고, 순서쌍 (G,R,L)이 등식을 만족하는 변수일 때, 이 순서쌍에 임의의 실수 k배를 한 변수들 (kG, kR, kL) 또한 등식을 만족하는 순서쌍이 된다! 이러한 조건을 만족한다면 배수항등식이다.배수항등식일 필요충분조건은 모든 변수들의 차수합이 같은 것 이다. 즉 모든 변수들의 차수합이 같아야만 그 식은 배수항등식(Multiple identity) 이다. 그 역도 성립한다. 이것을 논증한 논문이다.openaire +1 more source
Identity theorems in small‐cancellation groups
Communications on Pure and Applied Mathematics, 1973openaire +2 more sources
Positional Identity theorem of Massena Misiec
In this assisted by AI conjecture turned into theorem i present a relation of the position with the remainder o a given division that results with specific divisors in the position of a number prime in a sequence of primes, extended to other sequencesopenaire +1 more source
Review on design factors of microbial fuel cells using Buckingham's Pi Theorem
Renewable and Sustainable Energy Reviews, 2020Jer-Huan Jang +2 more
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