Results 41 to 50 of about 2,997,678 (239)
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
wiley +1 more source
Stability properties of Plethysm: new approach with combinatorial proofs (Extended abstract) [PDF]
Plethysm coefficients are important structural constants in the theory of symmetric functions and in the representations theory of symmetric groups and general linear groups.
Laura Colmenarejo
doaj +1 more source
Generating functions for symmetric and shifted symmetric functions
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
Symmetric behavior in functions [PDF]
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
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
openaire +1 more source
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
Generalized Polarization Modules (extended abstract) [PDF]
This work enrols the research line of M. Haiman on the Operator Theorem (the old operator conjecture). This theorem states that the smallest $\mathfrak{S}_n$-module closed under taking partial derivatives and closed under the action of polarization ...
Héctor Blandin
doaj +1 more source
Resolvents and symmetric functions [PDF]
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.
openaire +2 more sources
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
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
wiley +1 more source
Macdonald polynomials at $t=q^k$ [PDF]
We investigate the homogeneous symmetric Macdonald polynomials $P_{\lambda} (\mathbb{X} ;q,t)$ for the specialization $t=q^k$. We show an identity relying the polynomials $P_{\lambda} (\mathbb{X} ;q,q^k)$ and $P_{\lambda} (\frac{1-q}{1-q^k}\mathbb{X} ;q ...
Jean-Gabriel Luque
doaj +1 more source

