proof by mathematical induction造句

例句与造句

1. The shorter phrase " proof by induction " is often used instead of " proof by mathematical induction ".
2. :Another valuable technique to learn when looking for patterns in sequences and series is proof by mathematical induction.
3. In pure mathematics, vacuously true statements are not generally of interest by themselves, but they frequently arise as the base case of proofs by mathematical induction.
4. 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.
5. Since 1896 = 474 * 4 is divisible by 4, the next Olympics would be in year 474 * 4 + 4 = ( 474 + 1 ) * 4, which is also divisible by four, and so on ( this is a proof by mathematical induction ).
6. It's difficult to find proof by mathematical induction in a sentence. 用proof by mathematical induction造句挺难的
7. This mode of argument bears the same relation to proof by mathematical induction that " If not B then not A " ( the style of " modus tollens " ) bears to " If A then B " ( the style of " modus ponens " ).
8. Interestingly, when it returns, the marker " 0 " looks like the end of the collection of " 1 " s to it-any " 1 " s that have already been taken across are invisible to it ( on the other side of the marker " 0 " ) and so it is as if it is working on an ( N-1 ) number of " 1 " s-similar to a proof by mathematical induction.
9. Choudum instead provides a proof by mathematical induction on the sum of the degrees : he lets t be the first index of a number in the sequence for which d _ t > d _ { t + 1 } ( or the penultimate number if all are equal ), uses a case analysis to show that the sequence formed by subtracting one from d _ t and from the last number in the sequence ( and removing the last number if this subtraction causes it to become zero ) is again graphic, and forms a graph representing the original sequence by adding an edge between the two positions from which one was subtracted.