Results 31 to 40 of about 897 (72)
The combinatorial structure of trigonometry
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 8, Page 475-500, 2003., 2003 The native mathematical language of trigonometry is combinatorial. Two interrelated combinatorial symmetric functions underlie trigonometry. We use their characteristics to derive identities for the trigonometric functions of multiple distinct angles.
Adel F. Antippa
wiley +1 more source
Schubert polynomial expansions revisited
Forum of Mathematics, SigmaWe give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau +2 more
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 6, Page 825-837, December 2025.Background: Inhibition of the Janus kinase pathway is an established treatment for allergic dermatitis. Objective: To evaluate the efficacy and safety of ilunocitinib for control of pruritus in dogs with allergic dermatitis in a randomised, double‐masked clinical trial.
Sophie Forster +5 more
wiley +1 more source
A short proof of an identity of Sylvester
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 431-435, 1999., 1999 We present two short proofs of an identity found by Sylvester and rediscovered by Louck. The first proof is an elementary version of Knuth′s proof and is analogous to Macdonald′s proof of a related identity of Milne. The second is Sylvester′s own proof of his identity.
Gaurav Bhatngar
wiley +1 more source
A raising operator formula for Macdonald polynomials
Forum of Mathematics, SigmaWe give an explicit raising operator formula for the modified Macdonald polynomials $\tilde {H}_{\mu }(X;q,t)$ , which follows from our recent formula for $\nabla $ on an LLT polynomial and the Haglund-Haiman-Loehr formula expressing ...
J. Blasiak +4 more
doaj +1 more source
EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS
Forum of Mathematics, Pi, 2017 We address a unification of the Schubert calculus problems solved by Buch [A Littlewood–Richardson rule for the $K$ -theory of Grassmannians, Acta Math. 189 (
OLIVER PECHENIK, ALEXANDER YONG
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 5, Page 647-659, October 2025.Background – Inhibition of the Janus kinase (JAK) pathway is a well‐established option for canine atopic dermatitis (cAD). Objective – To evaluate the efficacy and safety of ilunocitinib, a novel JAK inhibitor for the control of pruritus and skin lesions in client‐owned dogs with cAD.
Sophie Forster +5 more
wiley +1 more source
Infinite flags and Schubert polynomials
Forum of Mathematics, SigmaWe study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched ...
David Anderson
doaj +1 more source
Veterinary Dermatology, Volume 36, Issue 4, Page 453-461, August 2025.Background – Canine atopic dermatitis (cAD) is a chronic, inflammatory, multifactorial and pruritic disease. The presence of skin barrier impairment (e.g. filaggrin alterations), along with abnormal immune responses, can negatively impact cutaneous barrier function.
Wendie Roldan Villalobos +5 more
wiley +1 more source
Two-sided permutation statistics via symmetric functions
Forum of Mathematics, SigmaGiven a permutation statistic $\operatorname {\mathrm {st}}$ , define its inverse statistic $\operatorname {\mathrm {ist}}$ by . We give a general approach, based on the theory of symmetric functions, for finding the joint distribution of
Ira M. Gessel, Yan Zhuang
doaj +1 more source