Sentence examples for mathematical definitions is from inspiring English sources

A list of mathematical definitions is provided in Appendix S1.

Mathematical definitions are presented together with application examples for different processes.

Those mathematical definitions are linked to the words humans would use to describe the objects, be they cars, carrots, men, mountains or zebras.

In this context and for this kind of examples, we can use the entropy [16] and the contrast [24], whose mathematical definitions are given in the corresponding references.

The mathematical definitions are given in Supplementary Material, Methods.

Brief definitions of turgor-related terms and the corresponding mathematical definitions are given below.

To overcome this issue, different tools using network-based pathway (mathematical) definitions were introduced [ 19, 20].

In this work, a new mathematical definition is proposed to represent the general variation of fibre-orientation in the VAT plate.

Okay, the mathematical definition is something like, "The dimension of a manifold is the minimum integer number of co-ordinates necessary to identify each point in that manifold". A manifold is essentially a generic term for "area, volume, etc". What this means in English is that a surface has, say, two dimensions, if you need two numbers to tell someone where you are on that surface.

Its mathematical definition is given in (8).

This mathematical definition is an alternative to the definition of biological interaction as a departure from additivity [38], [39].