Results 311 to 320 of about 1,616,802 (377)

Generalized higher-order differentiation

Acta Applicandae Mathematicae, 1989
For some time now the first two authors have been developing a theory of ``higher order tensors'' which they call (derivative) strings. This work has been motivated by examples from statistics where such objects occur naturally. By a ``higher order tensor'' is meant an object like a tensor but whose transformation rule under a change of co-ordinates ...
Barndorff-Nielsen, O. E., Blæsild, P., Mora, M.   +2 more
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Counting saddle connections in flat surfaces with poles of higher order

, 2016
Flat surfaces that correspond to k-differentials on compact Riemann surfaces are of finite area provided there is no pole of order k or higher. We denote by flat surfaces with poles of higher order those surfaces with flat structures defined by a k ...
Guillaume Tahar
semanticscholar   +1 more source

Intelligent Robotic Chair With Thought Control and Communication Aid Using Higher Order Spectra Band Features

IEEE Sensors Journal, 2022
In recent years, EEG-based navigation and communication systems for differentially enabled communities have been progressively receiving more attention.
S. K. Nataraj, F. Al-turjman, A. H. Adom, S. R., R. M, K. R   +5 more
semanticscholar   +1 more source

Z3-Graded exterior differential calculus and gauge theories of higher order

, 2000
We present a possible generalization of the exterior differential calculus, based on the operator d such that d3=0, but d2≠0. The entities dxi and d2xk generate an associative algebra; we shall suppose that the products dxi dxk are independent of dxk dxi,
R. Kerner
semanticscholar   +1 more source

Unsteady bioconvective squeezing flow with higher‐order chemical reaction and second‐order slip effects

Heat Transfer, 2021
In this investigation, the foremost aim is to study the impact of a higher‐order chemical reaction and second‐order slip on the bioconvective nanoliquid flow comprising gyrotactic microorganisms between two squeezed parallel plates.
Nilankush Acharya, Raju Bag, P. K. Kundu
semanticscholar   +1 more source

Higher-Order Differential Equations

2011
High-order differential equations often arise from mathematical modeling of a variety of physical phenomena. For example, higher even-order differential equations may appear in astrophysics, structural mechanics and geophysics, and higher odd-order differential equations, such as the Korteweg-de Vries (KdV) equation, are routinely used in modeling ...
Jie Shen, Tao Tang, Li-Lian Wang
openaire   +1 more source

Higher order differential solutions

1992
In this chapter we adopt a different perspective for attacking the inverse scattering problem. It has been shown in previous chapters how the wave equation can be transformed into an integral equation and how, by making two separate linearizations, first for the scattered field and second for the variations of the scatterer itself, the integral ...
K. I. Hopcraft, P. R. Smith
openaire   +1 more source

Higher-Order Differential Equations

2019
Through our study of linear systems of differential equations, we have already encountered higher-order differential equations that arise naturally in physical applications. Two particularly important ones are those associated with spring-mass systems and RLC circuits. Here we briefly revisit these equations.
Allan Struthers, Merle Potter
openaire   +1 more source

Higher Order Differential Equations

2001
Some ordinary differential equations “arrive” in a form involving derivatives of higher than first order. A conspicuous source of second order problems is mechanics, where the form of Newton’s second law leads directly to a second order equation. An example of this is the harmonic oscillator equation coming from a spring mass system.
openaire   +1 more source

Compensated compactness for higher order differential relations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2001
AbstractIn this paper we present two compensated compactness results which generalise well known results of Tartar and Murat. The first result generalises the basic compensated compactness theorem in quadratic case to differential relations of arbitrary order m.
openaire   +3 more sources