Sentence examples for mathematical structures that from inspiring English sources

We introduce Bκ-embeddings, nonlinear mathematical structures that connect, through smooth paths parameterized by κ, a finite or denumerable set of objects at κ="0 (e.g. numbers, functions, vectors, coefficients of a generating function...) to their ordinary sum at κ → ∞.

This article concerns an important conjecture of Kostant about relations between simple Lie groups and finite simple groups; both are classes of well defined mathematical structures that have been classified into families, much like the chemical elements are classified in the periodic table.

Models are abstract mathematical structures that provide possible interpretations for each of the non-logical primitives in a formal language.

Individual components are linked with mathematical structures that enable computational analysis of the network as an integrated system.

Particular objective has been the use of mathematical structures that are natural for each concept related to symmetries of BVPs, giving them a clear geometrical meaning.

In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics).

She also studies the mathematical structure that lies behind optimization, as well as the equilibrium problems in static and dynamic environments.

For even if you have not heard of him, you are very likely to recognise the swirling computer-generated images of the Mandelbrot set, the colourful, coral-like mathematical structure that bears his name.

Classical thermodynamics is a mathematical structure that describes the behavior of gases, liquids, and solids as the temperature, pressure, and composition change.

The main reason is that the uncertainty "space" of nonlinear inverse problems has a mathematical structure that is embedded in the forward physics and also in the observed data.

More generally, manifold substantivalism asserts that the manifold M of local spacetime theories is the mathematical structure that represents spacetime.