A proof of the main theorem on Bezoutians 来自 arXiv.org 喜欢 0 阅读量: 21 作者:BĆB Ćurgus,A Dijksma 摘要: We give a self-contained proof that the nullity of the Bezoutian matrix associated with a pair of polynomials $f$ and $g$ equals the number of their common zeros ...
f(I) = 1 and f(AB) = f(BA) for all n × n matrices A and B, we derive a well-known formula expressing the normalized trace of a complex matrix A as the expectation of the numerical values of A; that is the function ⟨Ax, x⟩, where x ranges the unit sphere of ℂn....
Proof of the Alternating Sign Matrix Conjecture The number of $n \times n$ matrices whose entries are either -1, 0, or 1, whose row- and column- sums are all 1, and such that in every row and every colum... D Zeilberger 被引量: 531发表: 1996年 A combinatorial proof of Dyson's...
aRegions most at risk from water scarcity include parts of the southern United States, the Mediterranean and the Middle East. By contrast, India, tropical Africa and high latitudes in the Northern Hemi¬sphere can expect to receive more water in a warming world. 地区在危险中从水缺乏包括南美...
Susanne Brenner and Ridgway Scott: The Mathematical Theory of Finite Element Methods, Springer, 2010. F.Y.M. Wan: Introduction to Calculus of Variations and Its Applications, Chapman & Hall, 1995 考察要点: 插值和逼近 三角插值和逼近 快速傅立叶变换 有理函数逼近 多项式和样条插值与逼近 最小二乘...
A technique for calculating the gamma-matrix structures of the diagrams of a total four-fermion interaction with infinite number of vertices in d=2+ε dime... It is known [1] that in d =2+ε dimensional regularization any four-fermion interaction generates an infinite number of counterterms ...
The paper is a discussion of Krahn’s proof of the Rayleigh conjecture that amongst all membranes of the same area and the same physical properties, the circular one has the lowest ground frequency. We show how his approach coincides with the modern techniques of geometric measure theory using ...
what is the matrix ? for much of the early '90s, when they weren't writing spec scripts or building elevator shafts, the wachowskis fantasized about creating a sci-fi comic book that would allow them to sample all of their cultural obsessions. "we were interested in a lot of things," ...
symmetric matrix A , in particular the operator concavity property of the map f : A D 1/( n-i ) ( A, n-i; I, i ) I together with unital positive linear map Φ : A A I the Hadamard product of A with the identity matrix I , in deriving an inequality of the form Σ...
Matrix scaling problems have been extensively studied since Sinkhorn established in 1964 the following result: Any positive square matrix of order n is diagonally equivalent to a unique doubly stochastic matrix of order n, and the diagonal matrices which take part in the equivalence are unique up ...