Results 61 to 70 of about 3,634,484 (348)

Piecewise polynomial representations of genomic tracks. [PDF]

PLoS ONE, 2012
Genomic data from micro-array and sequencing projects consist of associations of measured values to chromosomal coordinates. These associations can be thought of as functions in one dimension and can thus be stored, analyzed, and interpreted as piecewise-
Maxime Tarabichi, Vincent Detours, Tomasz Konopka   +2 more
doaj   +1 more source

Knot polynomial invariants in classical Abelian Chern-Simons field theory

, 2010
Kauffman knot polynomial invariants are discovered in classical abelian Chern-Simons field theory. A topological invariant $t^{I\left( \mathcal{L} \right) }$ is constructed for a link $\mathcal{L}$, where $I$ is the abelian Chern-Simons action and $t$ a ...
Arnol’d, Duan, Duan, Guadagnini, Hitchin, Jones, Jones, Kauffman, Kauffman, Kauffman, Labastida, Le, Moffatt, Moffatt, Moffatt, Polyakov, Rolfsen, Rozansky, Thompson, Witten, Wu, Wu, Xin Liu   +22 more
core   +1 more source

Grothendieck inequalities characterize converses to the polynomial method [PDF]

Quantum
A surprising 'converse to the polynomial method' of Aaronson et al. (CCC'16) shows that any bounded quadratic polynomial can be computed exactly in expectation by a 1-query algorithm up to a universal multiplicative factor related to the famous ...
Jop Briët, Francisco Escudero Gutiérrez, Sander Gribling   +2 more
doaj   +1 more source

Polynomials with constant Hessian determinant

Journal of Pure and Applied Algebra, 1991
AbstractWe show that the Jacobian conjecture for dimension 2 over the complex numbers holds for polynomial mappings with symmetric Jacobian matrix. We indicate two applications in differential geometry.
openaire   +2 more sources

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

International Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez, Mauro Gaggero, Andrea Serani   +2 more
wiley   +1 more source

Polynomial Solutions of Equivariant Polynomial Abel Differential Equations

Advanced Nonlinear Studies, 2018
Let a⁢(x){a(x)} be non-constant and let bj⁢(x){b_{j}(x)}, for j=0,1,2,3{j=0,1,2,3}, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a⁢(x)⁢y˙=b1⁢(x)⁢y+b3⁢(x)⁢y3{a(x)\dot{y}=b_{1}(
Llibre Jaume, Valls Clàudia
doaj   +1 more source

Logarithmic corrected Polynomial $f(R)$ inflation mimicking a cosmological constant

, 2016
In this paper, we consider an inflationary model of $f(R)$ gravity with polynomial form plus logarithmic term. We calculate some cosmological parameters and compare our results with the Plank 2015 data.
Kubeka, A. S., Pourhassan, B., Rostami, M., Sadeghi, J.   +3 more
core   +1 more source

An Integrated MATLAB Code for Homogenization‐Based Topology Optimization and Generating Functionally Graded Surface Lattices for Additive Manufacturing

Advanced Engineering Materials, EarlyView.
Unlocking structural efficiency, this work integrates homogenization‐based topology optimization with functionally graded triply periodic minimal surface lattices to create highly efficient, customizable lattice structures. Key achievements include the development of a versatile MATLAB framework, optimization of mechanical properties for additive ...
Mirhan Ozdemir, Ugur Simsek, Cemal Efe Gayir, Kadir Gunaydin, Orhan Gulcan   +4 more
wiley   +1 more source

From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics

Advanced Engineering Materials, EarlyView.
Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad, Hamidreza Yazdani Sarvestani, Behnam Ashrafi, Farjad Shadmehri, Mehdi Hojjati   +4 more
wiley   +1 more source

Theoretical and experimental results on time-series representations of polynomials

Frontiers in Signal Processing
This study considers time-series representations of polynomials. Often in data modelling and many other applications, accurate estimations of the degree of a polynomial, of the noise standard deviation, and of the coefficient of the highest degree of a ...
Asoke K. Nandi
doaj   +1 more source