Results 41 to 50 of about 6,762,809 (278)
Towards Formulation of a Complex Binary Number System
Sultan Qaboos University Journal for Science, 2002 For years complex numbers have been treated as distant relatives of real numbers despite their widespread applications in the fields of electrical and computer engineering.
Tariq Jamil, David Blest, Amer Al-Habsi
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Orbifold points on Teichm\"uller curves and Jacobians with complex multiplication [PDF]
, 2014 For each integer $D \geq 5$ with $D \equiv 0$ or $1 \bmod 4$, the Weierstrass curve $W_D$ is an algebraic curve and a finite volume hyperbolic orbifold which admits an algebraic and isometric immersion into the moduli space of genus two Riemann surfaces.
R. E. Mukamel
semanticscholar +1 more source
Musings on multiplication tables and associated mathematics and teaching practices
Pythagoras, 2009 This paper is based on my reflections on a deceptively simple tabular representation of a combined 12×12 multiplication table showing multiplier and multiplicand,starting at a time when I taught mathematics full time at a primary (elementary) school
Faaiz Gierdien
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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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On-line algorithms for multiplication and division in real and complex numeration systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 A positional numeration system is given by a base and by a set of digits. The base is a real or complex number $\beta$ such that $|\beta|>1$, and the digit set $A$ is a finite set of digits including $0$. Thus a number can be seen as a finite or infinite
Christiane Frougny +3 more
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Complex multiplication cycles and Kudla-Rapoport divisors, II [PDF]
, 2013 We study the intersections of special cycles on a unitary Shimura variety of signature (n 1; 1) and show that the intersection multiplicities of these cycles agree with Fourier coecients of Eisenstein series.
Benjamin J. Howard
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FEBS Letters, EarlyView.Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu +17 more
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Entanglement in the family of division fields of elliptic curves with complex multiplication [PDF]
, 2022 Francesco Campagna +3 more
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Genus 2 Curves with Complex Multiplication [PDF]
IACR Cryptology ePrint Archive, 2010 Genus 2 curves are useful in cryptography for both discrete-log based and pairing-based systems, but a method is required to compute genus 2 curves such that the Jacobian has a given number of points.
E. Goren, K. Lauter
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From omics to AI—mapping the pathogenic pathways in type 2 diabetes
FEBS Letters, EarlyView.Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
wiley +1 more source