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scalar multiplication

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scalar multiplication

[′skā·lər ‚məl·tə·pli′kā·shən]
(mathematics)
The multiplication of a vector from a vector space by a scalar from the associated field; this usually contracts or expands the length of a vector.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
In the NA[F.sub.k] algorithm, the converted NAF values are buffered in memory until scalar multiplication or modular exponentiation is completed.
w-Bit Shifting Non-Adjacent Form Conversion
Finally, we prove that scalar multiplication is continuous.
ON STRONGLY CEZ'ARO SUMMABLE SEQUENCES
The implementation of the scalar multiplication multiplyScalar() is straightforward as it corresponds to multiplying an arbitrary [C.sub.i]--we choose [C.sub.1] for simplicity--of the respective MPO by the scalar at hand.
ON THE APPROXIMATION OF FUNCTIONALS OF VERY LARGE HERMITIAN MATRICES REPRESENTED AS MATRIX PRODUCT OPERATORS
The addition [[direct sum].sub.M] and scalar multiplication [[cross product].sub.M] for the set [parallel][V.sub.s][parallel] = {[+ or -][parallel]a[parallel]; a [member of] [V.sub.s]} in the axiom (VV) of gyrovector space are defined by the equations
Orthogonal Gyroexpansion in Mobius Gyrovector Spaces
It has been found that the cost of the bilinear parings is approximately 20 times more than that of the scalar multiplication over elliptic curve group [34].
On Security Analysis of Recent Password Authentication and Key Agreement Schemes Based on Elliptic Curve Cryptography
The first scalar multiplication ([pp.sub.i] x [PS2.sub.j]) in [V.sub.ijk] can be pre-computed whenever the pseudonym is generated for [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] in the current autonomous network as it saves one scalar multiplication during signature generation.
An efficient certificateless aggregate signature scheme for vehicular ad-hoc networks
A linear topological space X over the real field R is said to be a paranormed space if there is a subadditive function g:X [member of] R such that g([theta]) = 0, g(x) = g(-x), and scalar multiplication is continuous, i.e., [absolute value of [[alpha].sub.n] - [alpha]] [right arrow] 0 and g([x.sub.n] - x) [right arrow] 0 imply g([[alpha].sub.n][x.sub.n] - ax) [right arrow] 0 for all x's in X and a's in R, where [theta] is the zero vector in the linear space X.
Matrix transformations of paranormed sequence spaces through de la Vallee-Pousin mean/Transformacoes matriciais de espacos sequenciais paranormatizados pela media de la Vallee-Pousin
This addition and scalar multiplication are called Blaschke addition and scalar multiplication.
Differences of quermass- and dual quermassintegrals of Blaschke-Minkowski and radial Blaschke-Minkowski homomorphisms
Temporary registers store intermediate results during the scalar multiplication. Add blockperforms finite field addition and subtraction, with simple XOR gates.
System level design of reconfigurable server farms using elliptic curve cryptography processor engines
Therefore we can construct an IT2FNN-2 that computes all FBF expansion combinations with [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] in the form of the proposed IT2FNN-2, and Y is closed under scalar multiplication.
Universal approximation of a class of interval type-2 fuzzy neural networks in nonlinear identification
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