数学带入用英语怎么说
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数学带入通常用英语表述为 "mathematical induction" 或 "inductive reasoning".
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数学归纳法(mathematical induction)是一种数学归纳法,它是一种在数学证明中证明关于自然数n的命题p(n)是真的的方法。这种方法通常涉及两个步骤:
证明p(0)或p(1)是真的
证明如果p(k)是真的,则p(k+1)也是真的,其中k是自然数
归纳推理(inductive reasoning)是一种推理方式,它是从特定的事实推断出一般的结论的过程。归纳推理是基于大量的事实,并假设这些事实代表整体情况。
例句:
"We can prove the statement for n = 0 and n = 1 using direct computation. Then, we use mathematical induction to show that the statement holds for all natural numbers."
"The principle of mathematical induction allows us to prove statements about the natural numbers by showing that they hold for the first few natural numbers, and then showing that if they hold for any one natural number, they must also hold for the next natural number."
"We can use inductive reasoning to make predictions about the future based on observations of the past. For example, if we have observed that it has rained every day for the past week, we might reasonably conclude that it will probably rain tomorrow as well."
来源:
数学归纳法(mathematical induction)是一种数学归纳法,它是一种在数学证明中证明关于自然数n的命题p(n)是真的的方法。这种方法通常涉及两个步骤:
证明p(0)或p(1)是真的
证明如果p(k)是真的,则p(k+1)也是真的,其中k是自然数
归纳推理(inductive reasoning)是一种推理方式,它是从特定的事实推断出一般的结论的过程。归纳推理是基于大量的事实,并假设这些事实代表整体情况。
例句:
"We can prove the statement for n = 0 and n = 1 using direct computation. Then, we use mathematical induction to show that the statement holds for all natural numbers."
"The principle of mathematical induction allows us to prove statements about the natural numbers by showing that they hold for the first few natural numbers, and then showing that if they hold for any one natural number, they must also hold for the next natural number."
"We can use inductive reasoning to make predictions about the future based on observations of the past. For example, if we have observed that it has rained every day for the past week, we might reasonably conclude that it will probably rain tomorrow as well."
数学带入用英语怎么说
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