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e-books » Mathematics » The method of mathematical induction - Соминский And. WITH.

The method of mathematical induction - Соминский And. WITH.

 
Название: The method of mathematical induction
Автор: Соминский And. WITH.
Категория: Mathematics
Тип: The Book
Дата: 12.01.2009 13:27:40
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Описание: Approval are divided into general and special.
Here are some examples of general statements.
All citizens of the USSR have the right to education.
In any parallelogram diagonally, in the point of crossing the divide in half.
All numbers ending with a zero, are divided into 5.
Relevant examples of private statements are the following:
Petrov has the right to education.
In parallelogram ABCD diagonally, in the point of crossing the divide in half.
140 is divided into 5.
The transition from general statements to the private is called first, determine you deduction. Let us consider an example.
All citizens of the USSR have the right to education. (1)
Petrov is a citizen of the USSR. (2)
Petrov has the right to education. (3)
Out of a total of approval (1) by the assertion (2) received a private statement (3).
The transition from private statements to the general is called induction. Induction may lead both to the right and to the wrong conclusions. Let us explain this by two examples.
140 is divided into 5. (1)
All numbers ending with a zero, are divided into 5. (2)
Private-approval (1) received a general statement (2). The approval of (2) is true.
140 is divided into 5. (1)
All three-digit number are divided by 5. (2)
2 AND. WITH. Соминский 5
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