Results 61 to 70 of about 5,364,330 (300)
Algebras of Minimal Multiplicative Complexity [PDF]
2012 IEEE 27th Conference on Computational Complexity, 2012 We prove that an associative algebra $A$ has minimal rank if and only if the Alder -- Strassen bound is also tight for the multiplicative complexity of $A$, that is, the multiplicative complexity of $A$ is $2 \dim A - t_A$ where $t_A$ denotes the number of maximal two sided ideals of $A$. This generalizes a result by E.
Markus Bläser, Bekhan Chokaev
openaire +2 more sources
Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curves
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We recall the form factors $f^(j)_{N,N}$ corresponding to the $lambda$-extension $C(N,N; lambda)$ of the two-point diagonal correlation function of the Ising model on the square lattice and their associated linear differential equations which exhibit ...
Salah Boukraa +3 more
doaj
Prospecting the protein design landscape
FEBS Letters, EarlyView.This review outlines the current state of various protein design approaches. We discuss the current possibilities enabled by recently released tools, highlight future avenues to pursue in protein design, and underscore the crucial role of key databases and resources for successful protein design workflows.
Jakob R. Riccabona +4 more
wiley +1 more source
Analysis of algorithms performing basic arithmetic operations in the quadratic RNS
Наука. Инновации. Технологии, 2022 In this paper we explore the question of representing complex numbers in a residue number system and build algorithms for the operations of addition and multiplication. The idea of the construction of such systems is in determining how the set of complex
Lyudmila Borisovna Kopytkova
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Construction of dual-generalized complex Fibonacci and Lucas quaternions
Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
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Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
FEBS Letters, EarlyView.What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley +1 more source
A Sparse Algorithm for Computing the DFT Using Its Real Eigenvectors
Signals, 2021 Direct computation of the discrete Fourier transform (DFT) and its FFT computational algorithms requires multiplication (and addition) of complex numbers.
Rajesh Thomas +2 more
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Mutant p53R273H disrupts PDPK1 homodimerization and contributes to PDPK1 activation
Molecular Oncology, EarlyView.How mutant p53R273H drives AKT signaling is unclear. We show that p53R273H, but not wild‐type, directly binds PDPK1 via a mutation‐dependent conformational change. This interaction disrupts inhibitory PDPK1 homodimerization and enhances AKT phosphorylation.
Mei Chee Lim +11 more
wiley +1 more source
Spectral curves with complex multiplication in Hermitian matrix models
Nuclear Physics BWe show that elliptic curves with complex multiplication (CM) naturally emerge in the spectral geometry of Hermitian one-matrix models in the two-cut phase.
Ali Nassar
doaj +1 more source