Results 91 to 100 of about 3,259,448 (285)
REMARK ON AVERAGE OF CLASS NUMBERS OF FUNCTION FIELDS [PDF]
Summary: Let \(k = \mathbb{F}_q(T)\) be a rational function field over the finite field \(\mathbb{F}_q \), where \(q\) is a power of an odd prime number, and \(\mathbb{A} = \mathbb{F}_q[T]\). Let \(\gamma\) be a generator of \(\mathbb{F}_q^*\). Let \(\mathcal{H}_n\) be the subset of \(\mathbb{A}\) consisting of monic square-free polynomials of degree \(
openaire +2 more sources
AAA+ protein unfoldases—the Moirai of the proteome
AAA+ unfoldases are essential molecular motors that power protein degradation and disaggregation. This review integrates recent cryo‐electron microscopy (cryo‐EM) structures and single‐molecule biophysical data to reconcile competing models of substrate translocation.
Stavros Azinas, Marta Carroni
wiley +1 more source
Recently, the interest to polynomial representations of functions over finite fields and over finite rings is being increased. Complexity of those representations is widely studied.
A. Kazimirov, S. Reymerov
doaj
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
Classification of function fields with class number three
The aim of this paper is to give a complete classification of congruence function fields \(K/{\mathbb F}_q\) with class number \(h_K=3\). The case \(h_K=1\) was solved by \textit{R. E. MacRae} [J. Algebra 17, 243--261 (1971; Zbl 0212.53302)], \textit{M. L. Madan} and \textit{C. S. Queen} [Acta Arith.
Bilhan, Mehpare +2 more
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Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source
Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon +13 more
wiley +1 more source
Plecstatin inhibits hepatocellular carcinoma tumorigenesis and invasion through cytolinker plectin
The ruthenium‐based metallodrug plecstatin exerts its anticancer effect in hepatocellular carcinoma (HCC) primarily through selective targeting of plectin. By disrupting plectin‐mediated cytoskeletal organization, plecstatin inhibits anchorage‐dependent growth, cell polarization, and tumor cell dissemination.
Zuzana Outla +10 more
wiley +1 more source
A generalization of arithmetic derivative to p-adic fields and number fields [PDF]
The arithmetic derivative is a function from the natural numbers to itself that sends all prime numbers to 1 and satisfies the Leibniz rule. The arithmetic partial derivative with respect to a prime p is the p-th component of the arithmetic derivative ...
Brad Emmons, Xiao Xiao
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Tame Class Field Theory for Global Function Fields
We give a function field specific, algebraic proof of the main results of class field theory for abelian extensions of degree coprime to the characteristic.
Florian Hess +4 more
core +1 more source

