Results 31 to 40 of about 498,616 (315)
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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Frontiers in Human Neuroscience, 2019 Some individuals experience more difficulties with math than others, in particular when arithmetic problems get more complex. Math ability, on one hand, and arithmetic complexity, on the other hand, seem to partly share neural underpinnings.
Christina Artemenko +13 more
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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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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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The border support rank of two-by-two matrix multiplication is seven [PDF]
, 2017 We show that the border support rank of the tensor corresponding to two-by-two matrix multiplication is seven over the complex numbers. We do this by constructing two polynomials that vanish on all complex tensors with format four-by-four-by-four and ...
Bläser, Markus +2 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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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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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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Remark on the rank of elliptic curves [PDF]
, 2009 A covariant functor on the elliptic curves with complex multiplication is constructed. The functor takes values in the noncommutative tori with real multiplication. A conjecture on the rank of an elliptic curve is formulated.Comment: 13 pages, 2 figures;
Nikolaev, Igor
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