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Division by Invariant Integers Using Multiplication

by Torbjörn Granlund, Peter L. Montgomery - In Proceedings of the SIGPLAN '94 Conference on Programming Language Design and Implementation , 1994
"... Integer division remains expensive on today's processors as the cost of integer multiplication declines. We present code sequences for division by arbitrary nonzero integer constants and run--time invariants using integer multiplication. The algorithms assume a two's complement architectur ..."
Abstract - Cited by 49 (1 self) - Add to MetaCart
Integer division remains expensive on today's processors as the cost of integer multiplication declines. We present code sequences for division by arbitrary nonzero integer constants and run--time invariants using integer multiplication. The algorithms assume a two's complement

Simulating ratios of normalizing constants via a simple identity: A theoretical exploration

by Xiao-li Meng, Wing Hung Wong - Statistica Sinica , 1996
"... Abstract: Let pi(w),i =1, 2, be two densities with common support where each density is known up to a normalizing constant: pi(w) =qi(w)/ci. We have draws from each density (e.g., via Markov chain Monte Carlo), and we want to use these draws to simulate the ratio of the normalizing constants, c1/c2. ..."
Abstract - Cited by 187 (3 self) - Add to MetaCart
of the following simple identity: c1 c2 = E2[q1(w)α(w)] E1[q2(w)α(w)]. Here Ei denotes the expectation with respect to pi (i =1, 2), and α is an arbitrary function such that the denominator is non-zero. A main purpose of this paper is to provide a theoretical study of the usefulness of this identity, with focus

Massive Fields of Arbitrary Half-Integer Spin in Constant Electromagnetic Field

by S. M. Klishevich , 2008
"... We study the interaction of gauge fields of arbitrary half-integer spins with the homogeneous electromagnetic field. We reduce the problem of obtaining the gaugeinvariant Lagrangian and transformations of the half-integer spin fields in the external field to the purely algebraic problem of finding a ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
We study the interaction of gauge fields of arbitrary half-integer spins with the homogeneous electromagnetic field. We reduce the problem of obtaining the gaugeinvariant Lagrangian and transformations of the half-integer spin fields in the external field to the purely algebraic problem of finding

Massive Fields with Arbitrary Half-Integer Spin in Constant Electromagnetic Field

by S. M. Klishevich , 2008
"... We study the interaction of gauge fields of arbitrary half-integer spins with the homogeneous electromagnetic field. We reduce the problem of obtaining the gaugeinvariant Lagrangian and transformations of the half-integer spin fields in the external field to an algebraic problem of search for a set ..."
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We study the interaction of gauge fields of arbitrary half-integer spins with the homogeneous electromagnetic field. We reduce the problem of obtaining the gaugeinvariant Lagrangian and transformations of the half-integer spin fields in the external field to an algebraic problem of search for a set

Coil sensitivity encoding for fast MRI. In:

by Klaas P Pruessmann , Markus Weiger , Markus B Scheidegger , Peter Boesiger - Proceedings of the ISMRM 6th Annual Meeting, , 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
Abstract - Cited by 193 (3 self) - Add to MetaCart
complementary to Fourier preparation by linear field gradients. Thus, by using multiple receiver coils in parallel scan time in Fourier imaging can be considerably reduced. The problem of image reconstruction from sensitivity encoded data is formulated in a general fashion and solved for arbitrary coil

Chiral rings and anomalies in supersymmetric gauge theory

by Freddy Cachazo, Michael R. Douglas, Nathan Seiberg, Edward Witten - JHEP , 2002
"... Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical to the loo ..."
Abstract - Cited by 161 (7 self) - Add to MetaCart
Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical

Integer and Floating-Point Constant Multipliers for FPGAs

by Nicolas Brisebarre, Florent de Dinechin, Jean-Michel Muller , 2008
"... Reconfigurable circuits now have a capacity that allows them to be used as floating-point accelerators. They offer massive parallelism, but also the opportunity to design optimised floating-point hardware operators not available in microprocessors. Multiplication by a constant is an important exampl ..."
Abstract - Cited by 11 (8 self) - Add to MetaCart
example of such an operator. This article presents an architecture generator for the correctly rounded multiplication of a floating-point number by a constant. This constant can be a floating-point value, but also an arbitrary irrational number. The multiplication of the significands is an instance

6.4.4.1 Integer constants

by Derek M. Jones
"... integer constant syntax integer-constant: decimal-constant integer-suffixopt octal-constant integer-suffixopt hexadecimal-constant integer-suffixopt decimal-constant: nonzero-digit decimal-constant digit octal-constant: 0 octal-constant octal-digit hexadecimal-constant: hexadecimal-prefix hexadecima ..."
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integer constant syntax integer-constant: decimal-constant integer-suffixopt octal-constant integer-suffixopt hexadecimal-constant integer-suffixopt decimal-constant: nonzero-digit decimal-constant digit octal-constant: 0 octal-constant octal-digit hexadecimal-constant: hexadecimal

Tensor network non-zero testing

by unknown authors , 2014
"... Tensor networks are a central tool in condensed matter physics. In this paper, we initiate the study of tensor network non-zero testing (TNZ): Given a tensor network T, does T represent a non-zero vector? We show that TNZ is not in the Polynomial-Time Hierarchy unless the hierarchy collapses. We nex ..."
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the first class of quantum Hamiltonians whose commuting variant is known to be in NP for all (1) logarithmic k, (2) constant D, and (3) for arbitrary interaction graphs. 1

Nonexpanding Impulsive Gravitational Waves With an Arbitrary Cosmological Constant

by J. Podolsky, J. B. Griffiths , 1999
"... Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a "cut and paste" method. These solutions are presented using a unified approach which covers the cases of de Sitter, anti-de Sitter and Minkowski backgrounds. The metr ..."
Abstract - Cited by 8 (0 self) - Add to MetaCart
Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a "cut and paste" method. These solutions are presented using a unified approach which covers the cases of de Sitter, anti-de Sitter and Minkowski backgrounds
Results 1 - 10 of 752