Sentence examples for mathematical structures of from inspiring English sources

Only in very few instances would anything resembling composition have been necessary; and even here, a scholar could be guided by the underlying mathematical structures of the work.

It reproduces the mathematical structures of biological neuron models, thus making the silicon neurons simple and biologically realistic.

He believes that the mathematical structures of the infinitely large or small, a priori, have no physical meaning at all; they are preliminary tools to approximate finite physical reality.

Within a large family of crossover designs this paper characterizes the mathematical structures of A-optimal and A-efficient crossover designs for the purpose of statistical comparison between t experimental treatments with a control (standard) treatment.

The present study seeks to investigate mathematical structures of a multi-frequency subspace migration weighted by the natural logarithmic function for imaging of thin electromagnetic inhomogeneities from measured far-field pattern.

Specifically, the fundamental mathematical structures of the formulated nonlinear problem and solution set are provided and accordingly, an efficient algorithm, called polynomial-time approximation algorithm (PTAA), is proposed to yield the fast convergence to a near optimal solution by employing the alternating direction method of multipliers (ADMM).

To reduce the computational cost of the structural alignment, they simplified the mathematical structure of the integer programming (IP) formulation, eliminating information on the topology of secondary structure from the constraints and integrating the structural information into the objective function, as well as using the Lagrangian relaxation.

There have been several attempts to describe the mathematical structure of inconsistent pictures using classical consistent mathematics, by theorists such as Cowan, Francis and Penrose.

They established the mathematical structure of the weak interaction in what is known as V−A, or vector minus axial vector, theory.

Mathematical programming includes the study of the mathematical structure of optimization problems, the invention of methods for solving these problems, the study of the mathematical properties of these methods, and the implementation of these methods on computers.

In one particularly telling sequence, he has overlaid a rotating view of Earth from the International Space Station with a mandala-like representation of an unimaginably complex eight-dimensional structure known as E8, which has been theorized by the theoretical physicist Garrett Lisi, among others, to be the fundamental mathematical structure of the universe.