Sentence examples for mathematical languages from inspiring English sources

Hence we need Hilbert's program of metamathematics, which, by arithmetizing the claims of mathematical languages, reduces claims of their consistency to claims in finite mathematics about the manipulations of symbols a claim that can be confirmed empirically (see the entry on Hilbert's program).

Different areas of maths require different mathematical languages, which like real languages require time and practice in which to become fluent.

The two theories are written in distinct mathematical languages, and scientists have not found a way to unify them — a common syntax.

Tarski defined truth for formal (logical or mathematical) languages in terms of a relation of "satisfaction" between the constituents of a sentence and sequences of objects.

Such unification of the mathematical languages in CAD, analysis and design optimization can resolve the issues mentioned above.

Isogeometric analysis attempts to unify the mathematical languages in design and analysis to realize the seamless integration of CAD and CAE.

However, one can argue that the degree of dependence on formulas is typically symptomatic of the general dependence on "formal" mathematical language in a mathematics test.

More research is needed on this, for example about the relation between the amount of topics covered and student learning of formal mathematical language such as algebraic symbolic expressions in school mathematics.

As a matter of practice, we use a language to state the properties, and in informal mathematics, this is a mixture of natural language and special mathematical language.

"I would link the Coursera course to a specific learning outcome of DMGT: to use mathematical literature from multiple sources, at least one tool for processing mathematical language, and an e-learning system, having specific characteristic of mathematics in mind".

"English, to me, is a more mathematical language, it is the language of precision.