例句與造句

1. By the principle of mathematical induction it follows that the result is true for all natural numbers.
2. In common terminology, using the stated approach is referred to as using the " Principle of mathematical induction ".
3. The principle of mathematical induction can be used to prove that in this case, there is exactly one sequence that satisfies both the recursion rule and the initial conditions.
4. For example, the definition of the natural numbers presented here directly implies the "'principle of mathematical induction "'for natural numbers : if a property holds of the natural number 0, and the property holds of " n " + 1 whenever it holds of " n ", then the property holds of all natural numbers ( Aczel 1978 : 742 ).
5. The result is an explicit choice function : a function that takes the first box to the first element we chose, the second box to the second element we chose, and so on . ( A formal proof for all finite sets would use the principle of mathematical induction to prove " for every natural number " k ", every family of " k " nonempty sets has a choice function . " ) This method cannot, however, be used to show that every countable family of nonempty sets has a choice function, as is asserted by the axiom of countable choice.
6. It's difficult to find principle of mathematical induction in a sentence. 用principle of mathematical induction造句挺難的