Results 71 to 80 of about 2,266,070 (328)
Symmetric identities for Carlitz’s q-Bernoulli numbers and polynomials
In this paper, a further investigation for the Carlitz’s q-Bernoulli numbers and q-Bernoulli polynomials is performed, and several symmetric identities for these numbers and polynomials are established by applying elementary methods and techniques.
Yuan He
semanticscholar +1 more source
Cytoplasmic p21 promotes stemness of colon cancer cells via activation of the NFκB pathway
Cytoplasmic p21 promotes colorectal cancer stem cell (CSC) features by destabilizing the NFκB–IκB complex, activating NFκB signaling, and upregulating BCL‐xL and COX2. In contrast to nuclear p21, cytoplasmic p21 enhances spheroid formation and stemness transcription factor CD133.
Arnatchai Maiuthed +10 more
wiley +1 more source
Bilinearity rank of the cone of positive polynomials and related cones [PDF]
For a proper cone K ⊂ Rn and its dual cone K the complementary slackness condition xT s = 0 defines an n-dimensional manifold C(K) in the space { (x, s) | x ∈ K, s ∈ K^* }. When K is a symmetric cone, this manifold can be described by a set of n bilinear
Alizadeh, Farid +3 more
core
We prove two identities of Hall-Littlewood polynomials, which appeared recently in a paper by two of the authors. We also conjecture, and in some cases prove, new identities which relate infinite sums of symmetric polynomials and partition functions ...
Betea, D., Wheeler, M., Zinn-Justin, P.
core +1 more source
Molecular determinants of signal transduction in tropomyosin receptor kinases
Tropomyosin receptor kinases control critical neuronal functions, but how do the same receptors produce diverse cellular responses? This review explores the structural mechanisms behind Trk signaling diversity, focusing on allosteric modulation and ligand bias.
Giray Enkavi
wiley +1 more source
EXPLICIT CAPELLI IDENTITIES FOR SKEW SYMMETRIC MATRICES [PDF]
AbstractThe main purpose of this paper is to obtain an explicit Capelli identity relating skew-symmetric matrices under the action of the general linear group $GL_N$. In particular, we give an explicit formula for the skew Capelli element in terms of the trace of powers of a matrix defined by the standard infinitesimal generators of $GL_N$.AMS 2000 ...
Kinoshita, Kenji, Wakayama, Masato
openaire +1 more source
Three variable symmetric identities involving Carlitz-type $$q$$q-Euler polynomials
In this paper, we derive several identities of symmetry in three variables related to Carlitz-type $$q$$q-Euler polynomials and alternating $$q$$q-power sums. These and most of their identities are new, since there have been results only about identities
Dae San Kim, Taekyun Kim
semanticscholar +1 more source
BC_n-symmetric polynomials [PDF]
We consider two important families of BC_n-symmetric polynomials, namely Okounkov's interpolation polynomials and Koornwinder's orthogonal polynomials.
Rains, Eric M.
core +1 more source
Linear Connections and Curvature Tensors in the Geometry of Parallelizable Manifolds
In this paper we discuss curvature tensors in the context of Absolute Parallelism geometry. Different curvature tensors are expressed in a compact form in terms of the torsion tensor of the canonical connection.
Amr M. Sid-Ahmed +21 more
core +2 more sources
This research protocol outlines a workflow for nuclear magnetic resonance (NMR)‐based metabolomics in the agri‐food sector. Using two case studies—strawberry leaves (solid matrix) and wine (liquid matrix)—it details the procedures for sample preparation, data acquisition, and processing.
Andrea Fernández‐Veloso +4 more
wiley +1 more source

