Results 151 to 160 of about 1,424,186 (337)
Divisor Sums of Generalised Exponential Polynomials
, 1996 A study is made of sums of reciprocal norms of integral and prime ideal divisors of algebraic integer values of a generalised exponential polynomial. This includes the important special cases of linear recurrence sequences and general sums of S-units. In
G. R. Everest, I. E. Shparlinski
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Advanced Engineering Materials, EarlyView.This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca +9 more
wiley +1 more source
From Shear to Sound: Mechanics–Acoustics Mapping of TPMS Lattices
Advanced Engineering Materials, EarlyView.Triply periodic minimal surface (TPMS) lattices are mapped across mechanical and acoustic performance, revealing that descriptors validated in compression fail under shear. First‐time comparison with trusses included. A transition from porous to resonance‐driven absorption emerges at 25% density.
Lucía Doyle +3 more
wiley +1 more source
Generic A-family of exponential sums
Journal of Number Theory, 2014 In this paper we construct a generating polynomial over the rationals for the generic Newton polygon for the L function of exponential sums of the family of f = x^d+ a x^s parameterized by a, and prove some of its key properties. The generating polynomial encodes information of and determines the generic Newton polygon at each prime p when p is large ...
openaire +2 more sources
Advanced Engineering Materials, EarlyView.This review highlights advances in lightweight, lead‐free polymer nanocomposites for diagnostic X‐ray shielding. By linking filler chemistry, dispersion, architecture, and photon interaction mechanisms, it establishes structure–performance relationships guiding material design.
Aklilu G. Messele +2 more
wiley +1 more source
Applications of Exponential Sums in Communications Theory
, 1999 exponential sums, curves, finite fields, codes, communications, sequences ...
Kenneth G. Paterson
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Advanced Engineering Materials, EarlyView.A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi +3 more
wiley +1 more source
On the exponential sum—product problem
Indagationes Mathematicae, 2008 Let \(p\) be a large prime and let \(g\) be an element of \(\mathbb F_p\) of a (large) multiplicative order \(T\). Given sets \(\mathcal A, \mathcal B \subset \mathbb Z_T^*\), consider the sets \[ \mathcal U = \{ g^{ab} : a \in \mathcal A, b \in \mathcal B \}, \quad \mathcal V = \{ g^{a} + g^{b} : a \in \mathcal A, b \in \mathcal B \}. \] In this paper,
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USE OF CUMULATIVE SUMS FOR DETECTION OF CHANGEPOINTS IN THE RATE PARAMETER OF A POISSON PROCESS [PDF]
This paper studies the problem of multiple changepoints in rate parameter of a Poisson process. We propose a binary segmentation algorithm in conjunction with a cumulative sums statistic for detection of changepoints such that in each step we need only ...
Pedro Galeano
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Exponential sums for some nth degree polynomial [PDF]
, 2016 Let f(x, y) be a polynomial in Zp[x, y] and p be a prime. For α > 1, the exponential sums associated with f(x, y) modulo a prime p α is defined as S(f ; p α) = epα (f(x, y)), where the sum is taken over a complete set of residues modulo p α. It has
Lasaraiya, Suriana
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