Results 41 to 50 of about 5,655,301 (288)
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
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Symmetric behavior in functions [PDF]
Proceedings of the American Mathematical Society, 1993 S. Marcus raised the following problem: Find necessary and sufficient conditions for a set to be the set of points of symmetric continuity of some function f :
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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 +3 more
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
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Algebraic bases of some algebras of polynomials on Banach spaces
Математичні СтудіїThe work is devoted to the study of algebraic bases of algebras of continuous polynomials on real and complex Banach spaces. A subset of an algebra is called an algebraic basis if every element of the algebra can be uniquely represented as a linear ...
R. V. Ponomarov, T. V. Vasylyshyn
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Symmetric partially Darboux functions and multiple points mean value results [PDF]
Mathematica BohemicaWe consider mean value results for symmetric multivariable functions whose partial functions satisfy the intermediate value property.
Viorel Vîjîitu
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Lipschitz symmetric functions on Banach spaces with symmetric bases
Karpatsʹkì Matematičnì Publìkacìï, 2021 We investigate Lipschitz symmetric functions on a Banach space $X$ with a symmetric basis. We consider power symmetric polynomials on $\ell_1$ and show that they are Lipschitz on the unbounded subset consisting of vectors $x\in \ell_1$ such that $|x_n ...
M.V. Martsinkiv +3 more
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Resolvents and symmetric functions [PDF]
Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation - ISSAC '89, 1989 In the present paper a model of transformations of polynomial equations (the so called “direct image” model) is studied. We express, in this model, some minimal polynomials and some resolvents relative to the Galois group of a polynomial in order to use a general algorithm of resolution.
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
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Symmetric linear functionals on the Banach space generated by pseudometrics
Математичні СтудіїIn this work we consider the notion of $B$-equivalence of pseudometrics. Two pseudometrics $d_1$ and $d_2$ on a set $X$ are called $B$-equivalent, where $B$ is a subgroup of the group of all bijections on $X,$ if there exists an element $b$ of $B$ such ...
S. I. Nykorovych, T. V. Vasylyshyn
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