Results 41 to 50 of about 500,615 (284)
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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The GL_2 main conjecture for elliptic curves without complex multiplication [PDF]
, 2004 The main conjectures of Iwasawa theory provide the only general method known at present for studying the mysterious relationship between purely arithmetic problems and the special values of complex L-functions, typified by the conjecture of Birch and ...
Coates, J. +4 more
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Montgomery Reduction for Gaussian Integers
Cryptography, 2021 Modular arithmetic over integers is required for many cryptography systems. Montgomery reduction is an efficient algorithm for the modulo reduction after a multiplication. Typically, Montgomery reduction is used for rings of ordinary integers.
Malek Safieh, Jürgen Freudenberger
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Eigenvalue Estimates of the ${\rm spin}^c$ Dirac Operator and Harmonic Forms on K\"ahler-Einstein Manifolds [PDF]
, 2015 We establish a lower bound for the eigenvalues of the Dirac operator defined on a compact K\"ahler-Einstein manifold of positive scalar curvature and endowed with particular ${\rm spin}^c$ structures.
Nakad, Roger, Pilca, Mihaela
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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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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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Noise-enhanced computation in a model of a cortical column [PDF]
, 2005 Varied sensory systems use noise in order to enhance detection of weak signals. It has been conjectured in the literature that this effect, known as stochastic resonance, may take place in central cognitive processes such as the memory retrieval of ...
Gerstner, Wulfram, Mayor, Julien
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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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Migraine: Multiple Processes, Complex Pathophysiology [PDF]
The Journal of Neuroscience, 2015 Migraine is a common, multifactorial, disabling, recurrent, hereditary neurovascular headache disorder. It usually strikes sufferers a few times per year in childhood and then progresses to a few times per week in adulthood, particularly in females.
Rami Burstein +2 more
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The merits and limitations of local impact ionization theory [PDF]
, 2000 Multiplication measurements on GaAs p+-i-n+s with i-region thicknesses, w, between 1 μm and 0.025 μm and Monte Carlo (MC) calculations of the avalanche process are used to investigate the applicability of the local ionization theory.
David, J.P.R., Ong, D.S., Plimmer, S.A.
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