Results 71 to 80 of about 10,375,970 (302)
Euclidean minima of algebraic number fields [PDF]
, 2023 In this paper, we use some of our previous results to improve an upper bound of Bayer-Fluckiger, Borello and Jossen on the Euclidean minima of algebraic number fields.
Dubickas, Artūras +2 more
core +1 more source
The number of rational points of some classes of algebraic varieties over finite fields
Open MathematicsLet Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan +3 more
doaj +1 more source
A note on Fibonacci matrices of even degree
International Journal of Mathematics and Mathematical Sciences, 2001 This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
doaj +1 more source
Advanced Science, EarlyView.Temozolomide treatment activates GSK3β, driving DNMT1 phosphorylation, destabilization, and CD47 promoter hypomethylation in glioblastoma. This epigenetic shift upregulates CD47, enabling TMZ‐treated GBM cells to evade macrophage phagocytosis, survive chemotherapy, and acquire resistance.
Jie Li +11 more
wiley +1 more source
Seeing the Chemistry of Biomolecular Condensates: In Situ Mapping of Composition and Water Content
Advanced Science, EarlyView.Raman hyperspectral imaging combined with spectral phasor analysis enables a label‐free quantification of proteins, polymers and water density within individual biomolecular condensates. By transforming complex vibrational fingerprints into intuitive compositional maps, the approach reveals the high water content and structural heterogeneity of ...
E. Sabri +3 more
wiley +1 more source
Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods
Applied SciencesIt is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan +3 more
doaj +1 more source
Acoustic realization of projective mirror Chern insulators
Communications Physics, 2023 Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which brings extra chance for topological ...
Tianzi Li +3 more
doaj +1 more source
On the abc$abc$ conjecture in algebraic number fields
Mathematika, 2023 AbstractIn this paper, we prove a weak form of the conjecture generalised to algebraic number fields. Given integers satisfying , Stewart and Yu were able to give an exponential bound in terms of the radical over the integers (Stewart and Yu [Math. Ann. 291 (1991), 225–230], Stewart and Yu [Duke Math. J. 108 (2001), no. 1, 169–181]), whereas Győry was
openaire +2 more sources
A case of monoidal uniqueness of algebraic models [PDF]
, 2015 We prove that there is at most one algebraic model for modules over the K(1)-local sphere at odd primes that retains some monoidal ...
Roitzheim, Constanze +1 more
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source