Sentence examples for mathematical proof such from inspiring English sources

A mathematical proof, such as Zhang produced, "should resemble a simple and clear-cut constellation," he wrote, "not a scattered cluster in the Milky Way".

Mathematical proofs such as the proof of Gödel's incompleteness theorem are also long and complicated.

It may also be important to distinguish informal elements of a given mathematical proof from unformalizable elements (if there are any such things).[3] In Section 4, this issue will be taken up in connection with the use of diagrams in mathematical reasoning.

Rather, we wish to look at the supposed division of tasks into "theoretical" tasks versus "practical" tasks, such as for example performing a mathematical proof versus ice skating.

5. Consider what might seem to be among the best candidates for indefeasible evidence: a genuine mathematical proof for the conclusion that p that one correctly recognizes as such.

Locke claims that logical theories of value have historically had difficulty accounting for phenomena such as the aesthetic appraisal of a logical or mathematical proof; moral commitment to aesthetic production; or aesthetic appreciation of religious practice.

If you ask such a student, the response is likely to be "Proofs". Although most students understand the idea that a mathematical proof is a rigorous justification of a mathematical fact, few would consider themselves to be good at writing proofs.

In "Hello Goodbye Hello" Craig Brown — a longtime columnist for the satirical British magazine Private Eye — weaves together dozens of such encounters into a glittering daisy chain that reads like a mathematical proof of the theory of six degrees of separation.

3) HCP and FCC are optimal packings for infinite 3D spaces, but, to our knowledge, there is no mathematical proof for what is the optimal sphere packing for a finite-sized 3D space, such as typical laboratory arenas and rooms.

Yet working with symbolic notational systems and making general claims about idealized entities (such as perfect circles) through logical deduction is at the heart of mathematical proof construction.

"It's certainly not a formal mathematical proof".