Results 61 to 70 of about 244,094 (312)

Spectra of algebras of symmetric analytic functions on Cartesian products of Banach spaces of Lebesgue integrable functions

Researches in Mathematics
The work is devoted to the study of algebras of entire symmetric functions on Cartesian products of real and complex Banach spaces of Lebesgue integrable functions.
R.V. Ponomarov, T.V. Vasylyshyn
doaj   +1 more source

Generating functions for symmetric and shifted symmetric functions

, 2016
We describe generating functions for several important families of classical symmetric functions and shifted Schur functions. The approach is originated from vertex operator realization of symmetric functions and offers a unified method to treat various families of symmetric functions and their shifted analogues.
Jing, Naihuan, Rozhkovskaya, Natasha
openaire   +2 more sources

CNF Encodings of Symmetric Functions

Theory of Computing Systems, 2023
Abstract Many Boolean functions that need to~be encoded as~CNF in~practice, have only exponential size CNF representations. To~avoid this effect, one usually introduces nondeterministic variables. For example, whereas the minimum number of~clauses in a~CNF computing the parity function $x_1\oplus x_2 \oplus \dotsb \oplus x_n$ is~$2^{n-1}$, one ...
Gregory Emdin, Alexander S. Kulikov, Ivan Mihajlin, Nikita Slezkin   +3 more
openaire   +1 more source

Establishment of a humanized patient‐derived xenograft mouse model of high‐grade serous ovarian cancer for preclinical evaluation of combination immunotherapy

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, Line Bjørge, Martine Rott Lode, Cecilie Fredvik Torkildsen, Pia Aehnlich, Rammah Elnour, Daniela Elena Costea, Lars Andreas Akslen, Liv Cecilie Vestrheim Thomsen, Emmet McCormack, Katrin Kleinmanns   +10 more
wiley   +1 more source

Schur-convexity for compositions of complete symmetric function dual

Journal of Inequalities and Applications, 2020
The Schur-convexity for certain compound functions involving the dual of the complete symmetric function is studied. As an application, the Schur-convexity of some special symmetric functions is discussed and some inequalities are established.
Huan-Nan Shi, Pei Wang, Jian Zhang
doaj   +1 more source

Characters and Chromatic Symmetric Functions [PDF]

The Electronic Journal of Combinatorics, 2021
Let $P$ be a poset, $\mathrm{inc}(P)$ its incomparability graph, and $X_{\mathrm{inc}(P)}$ the corresponding chromatic symmetric function, as defined by Stanley in Adv. Math., 111 (1995) pp.166–194. Let $\omega$ be the standard involution on symmetric functions.
openaire   +2 more sources

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, Eline M. F. de Lange, Klaas A. Sjollema, Ben N. G. Giepmans   +3 more
wiley   +1 more source

Symmetric and quasi-symmetric functions associated to polymatroids [PDF]

Journal of Algebraic Combinatorics, 2008
To every subspace arrangement X we will associate symmetric functions P[X] and H[X]. These symmetric functions encode the Hilbert series and the minimal projective resolution of the product ideal associated to the subspace arrangement. They can be defined for discrete polymatroids as well.
openaire   +2 more sources

A symmetric integrated radial basis function method for solving differential equations [PDF]

, 2018
In this article, integrated radial basis functions (IRBFs) are used for Hermite interpolation in the solution of differential equations, resulting in a new meshless symmetric RBF method. Both global and local approximation-based schemes are derived.
Thi Thuy Van Le, Duc Ngo-Cong, Nam Mai-Duy, Deepak Dalal, Mai-Duy, Nam, Le, Thi Thuy Van, Dalal, Deepak, Ngo-Cong, Duc, Thanh Tran-Cong, Tran-Cong, Thanh   +9 more
core   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

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