Sentence examples for mathematical objects with from inspiring English sources

In topology, materials are described as mathematical objects with set numbers of "holes".

The Account of Mathematical Objects with 'Qua'.

The AR production of mathematical objects with which student may interact offers the opportunity to mentally record the process through which they are generated, favoring visualization skills.

Indeed, it raises tricky ontological questions about the nature of programs and software: they appear to be abstract, even mathematical objects with a complex structure, and yet they are aimed at physical devices.

Vectors in vector spaces do not necessarily have to be arrow-like objects as they appear in the mentioned examples: vectors are regarded as abstract mathematical objects with particular properties, which in some cases can be visualized as arrows.

It is a mathematical object with specific properties that can be realized physically in many different ways as an actual physical system.

Gödel was a platonist with respect to mathematical objects and with respect to mathematical concepts (Gödel 1944; Gödel 1964).

But it is far from clear how to go about proving the existence of an acausal, atemporal domain of mathematical objects, especially with the notion of mathematical proof in mind.

I suggest that underlying the somewhat contradictory nature of his working is a failure, on our part, in shifting Christopher's overarching orientation to mathematics towards one that could work mathematically with mathematical objects.

To treat them more thoroughly would, unfortunately, require us to dive pretty deeply into questions concerning, e.g., the status of our informal understanding of set-theoretic language, the legitimacy of second-order quantification, and the identity conditions associated with mathematical objects in structuralist philosophies of mathematics.

Mathematicians did that, too, but they worked with mathematical objects, not messy speculations and feelings about experience.