영어에서 BINOMIAL THEOREM 의 뜻은 무엇인가요?
이항 정리
기본 대수학에서 이항 정리는 이항의 힘의 대수적 확장을 나타냅니다. 정리에 따르면, powern을 axbyc 형태의 항을 포함하는 합으로 확장 할 수 있습니다. 여기서 지수 b와 c는 b + c = n 인 음이 아닌 정수이고 각 항의 계수 a는 특정 양의 정수는 n과 b에 따라 다릅니다. 지수가 0 일 때, 상응하는 힘은 대개 용어에서 생략됩니다. 예를 들어, axbyc의 항에서 계수 a는 이항 계수 또는로 알려져 있습니다. 다양한 n과 b에 대한 이들 계수는 파스칼의 삼각형을 형성하도록 배열 될 수 있습니다. 이 수는 또한 조합 요소 (combinatorics)에서 발생하는데, 여기서 n 요소 집합에서 선택할 수있는 b 요소의 다양한 조합 수를 제공합니다.
영어 사전에서 binomial theorem 의 정의
사전에있는 이항 정리의 정의는 양의 적분 력 n으로 상승 된 임의의 이항의 확장을 제공하는 수학적 정리이다. 여기에는 n + 1 항이 포함됩니다. n = xn + nxn-1 a + xn-² a2 + ... + xn- kak + ... + an. k !, n으로부터 선택된 k 개의 항목의 조합 수.
«BINOMIAL THEOREM» 관련 영어 책
다음 도서 목록 항목에서
binomial theorem 의 용법을 확인하세요.
binomial theorem 에 관련된 책과 해당 책의 짧은 발췌문을 통해 영어 서적에서 단어가 사용되는 맥락을 제공합니다.
1
A First Book of Algebra, including the
binomial theorem, etc
William ROSSITER. quantity of more than 1 term followed a regular law of
formation; and we have become familiar with the expressions for the square and
cube of any binomial. By sup-x posing this law to hold good for any power of any
...
2
CRC Concise Encyclopedia of Mathematics, Second Edition
238 Binomial Theorem Binomial Transform Finch, S. "Favorite Mathematical
Constants." http:// www . mathsoft . com/asolve/constant/nielram/nielram .html .
Franel, J. "On a Question of Laisant." L'intermediaire des mathematiciens 1, 45-7,
1894 ...
3
The Pearson Guide to Complete Mathematics for AIEEE
Therefore, we look for a general formula which will help us in finding higher
powers of a binomial. In this chapter, we shall study the binomial theorem for
positive integral index which enables us to find out the expansion of binomial
expression ...
AIEEE. Syllabus. — > Binomial Theorem for a positive integral index — > General
term and middle term — > Binomial Theorem for any index — > Properties of
Binomial coefficients — > Simple applications for approximations ...
5
Resources for Teaching Discrete Mathematics: Classroom ...
Part Three: The Binomial Theorem and Fermat's Theorem Now we can put
together all of what we have learned from Pascal to prove an extremely important
result in number theory, called Fermat's Little Theorem, which is at the heart of
today's ...
Use the Binomial Theorem to Expand BinomiaIs We can now state the Binomial
Theorem. — Binomial Theorem Comment In the expansion of (a + b)”, the term
containing b* is given by n! rl(n I r) auIrbr ' . EXAMPLE 5 SOLUTION (a+b)5Ia5+ ...
Karla Neal, R. Gustafson, Jeff Hughes,
2012
a n k b THE BINOMIAL THEOREM Let a and b be real numbers; then for any
positive integer n, (a + b)n = a n 0 ban+ a n 1 ban-1b + a n 2 ban -2b2+Á+ a n n-2
ba2bn-2+ a n n-1 babn - 1+ a n n bbn or in sigma (summation) notation as ank=
0a ...
8
Beginning and Intermediate Algebra: An Integrated Approach
We now state the binomial theorem. If is any positive integer, then n The Binomial
Theorem (a b)n an an1b an2b2 an3b3 n! n! n! 1!(n 1)! 2!(n 2)! 3!(n 3)! anrbr p bn
p n! r!(n r)! In the binomial theorem, the exponents of the variables follow the ...
R. Gustafson, Rosemary Karr, Marilyn Massey,
2010
The Binomial Theorem EXAMPLE 5 For any positive integer , n p n! 1!(n 1)! an 1b
n! an 2b2 n! n! 2!(n 2)! 3!(n 3)! r!(nr)! anrbr p (a b)n an an3b3 bn In the binomial
theorem, the exponents on the variables follow the familiar pattern: □ The sum of
...
Alan Tussy, R. Gustafson,
2012
10
A Beginner’s Guide to Finite Mathematics: For Business, ...
Use the binomial theorem to calculate (x + y + z)3. 9. Evaluate 1.013. 10. Find an
approximation to 1.015, using four terms of the binomial theorem. Exercises 2.4 B
1. What is the coefficient of x2 in (1 + 3*)6? 2. What is the coefficient of y3 in (5x ...
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