Results 71 to 80 of about 12,772,525 (351)
A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form
, 2022 summary:Let $f$ be a normalized primitive holomorphic cusp form of even integral weight $k$ for the full modular group ${\rm SL}(2,\mathbb {Z})$, and denote its $n$th Fourier coefficient by $\lambda _{f}(n)$.
Hua, Guodong
core +1 more source
Oppenheim conjecture for pairs consisting of a linear form and a quadratic form [PDF]
, 2003 Let Q be a nondegenerate quadratic form and L a nonzero linear form of dimension d > 3. As a generalization of the Oppenheim conjecture, we prove that the set {(Q(x), L(x)): x ∈ Z d ) is dense in R 2 provided that Q and L satisfy some natural conditions.
A. Gorodnik
semanticscholar +1 more source
Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
wiley +1 more source
Algorithms for quadratic forms
Journal of Symbolic Computation, 2008 The author presents several algorithms which solve some problems appearing in the theory of quadratic forms over rational function field \(\mathbb R(t)\). The first group contains algorithms for the square-class group of \(\mathbb R(t).\) They allow to find a square-free representative of a square class of a rational function, to check if a rational ...
openaire +1 more source
Advanced Functional Materials, EarlyView.A compostable PGS soft surgical robot with interchangeable modules integrates transient Mo tactile and Si thermal sensors for dual feedback. The device preserves its function after clinical‐grade sterilization, demonstrates stable actuation and cardiac tissue grasping with real‐time in vivo pulsatile monitoring, and biodegrades post‐use with soil‐safe,
Minseong Chae +27 more
wiley +1 more source
A fixed-point approach to the stability of a functional equation on quadratic forms
Journal of Inequalities and Applications, 2011 Using the fixed-point method, we prove the generalized Hyers-Ulam stability of the functional equation f ( x + y , z + w ) + f ( x - y , z - w ) = 2 f ( x , z ) + 2 f ( y , w ) . The quadratic form f : ℝ × ℝ → &#
Park Won-Gil, Bae Jae-Hyeong
doaj
C1 rational quadratic trigonometric spline
Egyptian Informatics Journal, 2013 A Bézier like C1 rational quadratic trigonometric polynomial spline is developed. It defines two shape parameters in each subinterval. The approximation and geometric properties are investigated. The curvature continuity is established.
Maria Hussain, Sidra Saleem
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Asset Pricing Under The Quadratic Class [PDF]
We identify and characterize a class of term structure models where bond yields are quadratic functions of the state vector. We label this class the quadratic class and aim to lay a solid theoretical foundation for its future empirical application.
Markus Leippold, Liuren Wu
core
, 2016 Let p be a prime, n, r positive integers, S an integer coprime to p. We let Q_r denote an r-dimensional integral quadratic form. For convenience, set e(x) = e^{2 pi i x}, where x is any rational number, i is the imaginary unit. Denote the quadratic Gauss
Doyle, Gregory
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A Non‐Reciprocal Architected Porous Medium
Advanced Functional Materials, EarlyView.ABSTRACT In several fluid flow, energy‐dumping, and energy‐harvesting applications, a dominant flow direction or dominant resistance direction is desirable. In this study, we propose a simple modular geometry that doubles flow resistance in one direction relative to the opposite direction, while maintaining laminar viscous flow.
Clément Vezies +2 more
wiley +1 more source