Gordan's lemma is a lemma in convex geometry and algebraic geometry. It can be stated in several ways. Let A {\displaystyle A} be a matrix of integers...

}\mathbf {y} \neq 0.} Farkas's lemma can be varied to many further theorems of alternative by simple modifications, such as Gordan's theorem: Either A x < 0...

incomplete). Gordan, Paul (1885). Vorlesungen über Invariantentheorie. Vol. 1. Teubner. Retrieved 12 April 2014. Gordan, Paul (1887). Dr. Paul Gordan's Vorlesungen...

Shadowing lemma Big-little-big lemma (mathematics of paper folding) Gordan's lemma Hilbert's lemma Archimedes's lemmas Johnson–Lindenstrauss lemma (Euclidean...

monomials. Indeed, Paul Gordan used this restatement of Dickson's lemma in 1899 as part of a proof of Hilbert's basis theorem. Gordan's lemma With more care,...

MR 0922894 Home page of D. A. Cox, with several lectures on toric varieties Gordan's lemma Toric ideal Toric stack (roughly this is obtained by replacing the step...

permutations. Birkhoff polytope Birkhoff decomposition (disambiguation) Gordan's lemma - states that certain sets of vectors can be generated by a finite subset...

{R} ^{d},} we consider the monoid C ∩ L {\displaystyle C\cap L} . By Gordan's lemma, this monoid is finitely generated, i.e., there exists a finite set...

table problems parametrized by l and m, are fixed parameter tractable. Gordan's lemma - another tool related to zero sets of integer matrices. Jack E. Graver:...

preliminary lemmas. Notice that Lemma B itself is already sufficient to deduce the original statement of Lindemann–Weierstrass theorem. Lemma A. — Let c(1)...