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Displaying records 131 to 140 of 235 records.
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131. Isomorphism Classes of Edwards Curves over Finite Fields
Topic: Math
Published: 5/18/2012
Authors: Reza Farashahi, Dustin Moody, Hongfeng Wu
Abstract: Edwards curves are a new model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of F_q-isomorphism classes of Edwards curves and twisted Edwards curves. This answers a question recently asked ...

132. Lattice Matching (LM)-Prevention of Inadvertent Duplicate Publications of Crystal Structures
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 10/1/2002
Author: Alan D. Mighell
Abstract: Lattice-matching techniques have proved to be an extremely effective for the identification of unknown crystalline materials. A commonly employed lattice-matching strategy is based on matching the reduced cell of an unknown against a database of know ...

133. Lattice Sums and the Two-dimensional, Periodic Green s Function for the Helmholtz Equation
Topic: Math
Published: 1/16/2001
Authors: Andrew M Dienstfrey, Fengbo Hang, Jingfang Huang
Abstract: Many algorithms that are currently used for the solution of the Helmholtz equation in periodic domains require the evaluation of the Green s function, G(x, x0). The fact that the natural representation of G via the method of images gives rise to a co ...

134. Lattice Symmetry and Identification--The Fundamental Role of Reduced Cells in Materials Characterization
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 2/1/2002
Author: Alan D. Mighell
Abstract: In theory, physical crystals can be represented by idealized mathematical lattices. Under appropriate conditions, these representations can be used for a variety of purposes such as identifying, classifying, and understanding the physical properties ...

135. Light a Single Candle: Studying Supernovae
Topic: Math
Published: 3/1/2012
Authors: Dianne M O'Leary, Bert W Rust
Abstract: At peak luminosity, Type Ia supernovae can be even brighter than their parent galaxies, and their light curves display a very uniform and regular behavior. This makes them excellent candidates for a role as standard candles in measuring the distance ...

136. Linear Algebra and Sequential Importance Ssampling for Network Reliability
Topic: Math
Published: 12/11/2011
Authors: David G. Harris, Francis Sullivan, Isabel M Beichl
Abstract: The reliability polynomial of a graph gives the probability that a graph is connected as a function of the probability that each edge is connected. The coefficients of the reliability polynomial count the number of connected subgraphs of various size ...

137. Linear Stability of Cylindrical Couette Flow Using a Convection Regime Base Flow
Topic: Math
Published: 5/3/2005
Authors: M E Ali, Geoffrey B McFadden
Abstract: Instability of steady circular Couette flow with radial heating across a vertically oriented annulus with inner cylinder rotating and outer cylinder stationary is investigated using linear stability analysis. The convection regime base flow is devel ...

138. Local Bounds on Effective Hamiltonians for Stabilizer Codes
Topic: Math
Published: 1/22/2009
Authors: Stephen Bullock, Dianne M O'Leary
Abstract: This paper introduces various notion of k-locality of stabilizer codes inherited from the associated stabilizer groups. A choice of generators for the group leads to a Hamiltonian with the code in its groundspace, while a Hamiltonian holding the code ...

139. Logarithmic Convexity and the 'Slow Evolution' Constraint in Ill-Posed Initial Value Problems
Topic: Math
Published: 1/15/1999
Author: Alfred S Carasso
Abstract: This paper examines a wide class of ill-posed initial value problems for partial differential equations, and surveys logarithmic convexity results leading to Hoelder-continuous dependence on data for solutions satisfying prescribed bounds. The discus ...

140. Lower Bounds for Accessing Information on Pure Pointer Machines
Topic: Math
Published: 7/13/2009
Authors: Brian Dale Cloteaux, Desh Ranjan
Abstract: We study the complexity of representing an array on a Pure Pointer Machine (PPM) or a pointer machine without arithmetic capabilities. In particular, we show that lower bounds in access time for information retrieval on a PPM arise from two different ...

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