proof by exhaustion造句

Direct proof methods include proof by exhaustion and proof by induction.
A computer-assisted proof by exhaustion involves the following steps:
The Curry-Howard correspondence between proofs and programs relates case analysis and proof by exhaustion.
In fact, this is an argument that could be advanced against any lengthy proof by exhaustion.
With 28 total Summer Olympics as of 2016, this is a proof by exhaustion with 28 cases.
It's difficult to find proof by exhaustion in a sentence. 用proof by exhaustion造句挺难的

The first proof of the four colour theorem was a proof by exhaustion with 1, 936 cases.
Hales'proof is a proof by exhaustion involving checking of many individual cases using complex computer calculations.
:: The various computer-assisted proofs of the four color theorem are examples of a method of mathematical proof called proof by exhaustion.
If a counterexample is being sought or a large-scale proof by exhaustion is being attempted, distributed computing techniques may be used to divide the calculations between multiple computers.
In addition to being more elegant, the proof by mathematical induction also proves the statement indefinitely into the future, while after each new Summer Olympics the proof by exhaustion will require an extra case.
The reservations that some mathematicians might have about such proofs are more to do with the difficulty of completely validating " any " long and complex proof, and the lack of insight inherent in the proof by exhaustion method, rather than the fact that a computer has been used.
Observing that no order-2 square exists and being unable to construct an order-6 square ( see thirty-six officers problem ), he conjectured that none exist for any oddly even number The non-existence of order-6 squares was confirmed in 1901 by Gaston Tarry through a proof by exhaustion.