Results 21 to 30 of about 11,209 (117)
Positive exponential sums and odd polynomials [PDF]
, 2013 Given an odd integer polynomial f(x) of a degree k >=3, we construct a non-negative valued, normed trigonometric polynomial with the spectrum in the set of integer values of f(x) not greater than n, and a small free coefficient a_{0}=O((\log n)^{-1/k ...
Nincevic, Marina, Slijepcevic, Sinisa
core +2 more sources
Two dimensional symmetric and antisymmetric generalizations of sine functions
, 2009 Properties of 2-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutation of their two variables are described.
Britanak V. +6 more
core +1 more source
Forecasting Count Data With Varying Dispersion: A Latent‐Variable Approach
Journal of Forecasting, EarlyView.ABSTRACT Count data, such as product sales and disease case counts, are common in business forecasting and many areas of science. Although the Poisson distribution is the best known model for such data, its use is severely limited by its assumption that the dispersion is a fixed function of the mean, which rarely holds in real‐world scenarios.
Easton Huch +3 more
wiley +1 more source
On matrix elements for the quantized cat map modulo prime powers
, 2008 The quantum cat map is a model for a quantum system with underlying chaotic dynamics. In this paper we study the matrix elements of smooth observables in this model, when taking arithmetic symmetries into account. We give explicit formulas for the matrix
Kelmer, Dubi
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
wiley +1 more source
On generalized trigonometric functions and series of rational functions
, 2017 Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associate with polynomial $x^2-1$.
Yu, Han
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Interest Rate Pegs and the Reversal Puzzle: On the Role of Anticipation
Journal of Money, Credit and Banking, EarlyView.Abstract We revisit the reversal puzzle: a counterintuitive contraction of inflation in response to an interest rate peg. We show that its occurrence is intimately related to the degree of agents' anticipation. If agents perfectly anticipate the peg, reversals occur depending on the duration of the peg.
RAFAEL GERKE +2 more
wiley +1 more source
The Accuracy Smoothness Dilemma in Prediction: A Novel Multivariate M‐SSA Forecast Approach
Journal of Time Series Analysis, EarlyView.ABSTRACT Forecasting presents a complex estimation challenge, as it involves balancing multiple, often conflicting, priorities and objectives. Conventional forecast optimization methods typically emphasize a single metric, such as minimizing the mean squared error (MSE), which may neglect other crucial aspects of predictive performance. To address this
Marc Wildi
wiley +1 more source
Exponential Sums and Congruences with Factorials
, 2004 We estimate the number of solutions of certain diagonal congruences involving factorials. We use these results to bound exponential sums with products of two factorials $n!m!$ and also derive asymptotic formulas for the number of solutions of various ...
Garaev, Moubariz Z. +2 more
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