Results 61 to 70 of about 9,947 (289)
Determinantal identities for modular Schur symmetric functions [PDF]
, 1995 Modular symmetric functions are a new class of symmetric functions which depend both on a partition ⋋ and an integer modulus p > 2. For p prime, these functions have representation theoretic significance as the irreducible characters of the general ...
Hamel, A. M.
core
A new symmetrical combinatorial ldentity
Journal of Combinatorial Theory, Series A, 1972 AbstractA proof is given for the novel identity [x+aa][y+bb]=∑k=0m[x+y+kk][x+a−ba−k][y+b−ab−k]q(a−k)(b−k) due to Richard Stanley, where m = min(a, b), and brackets denote q-binomial coefficients defined by [xn] = Φj=1nqx−j+1−1qj−1, [x0] = 1The identity is valid for all real or complex x, y and non-negative integers a, b.
openaire +1 more source
Molecular Oncology, EarlyView.We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric +10 more
wiley +1 more source
Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae
FEBS Open Bio, EarlyView.Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj +3 more
wiley +1 more source
A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials [PDF]
Mathematica Moravica, 2019 In this paper, we introduce the Hermite-based poly-Bernoulli numbers and polynomials with q-parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations.
Khan Waseem A. +2 more
doaj
Indefinite Almost Paracontact Metric Manifolds
International Journal of Mathematics and Mathematical Sciences, 2010 We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We
Mukut Mani Tripathi +3 more
doaj +1 more source
A Study of Generalized Laguerre Poly-Genocchi Polynomials
Mathematics, 2019 A variety of polynomials, their extensions, and variants, have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan +2 more
doaj +1 more source
FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
Symmetric implication zroupoids and identities of Bol–Moufang type [PDF]
, 2017 An algebra A= ⟨ A, → , 0 ⟩ , where → is binary and 0 is a constant, is called an implication zroupoid (I-zroupoid, for short) if A satisfies the identities: (I): (x→y)→z≈((z′→x)→(y→z)′)′, and (I0): 0 ′ ′≈ 0 , where x′: = x→ 0.
Sankappanavar, Hanamantagouda P. +3 more
core +1 more source
FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source