इंग्रजी मध्ये BINOMIAL THEOREM म्हणजे काय?
द्विपद प्रमेय
प्राथमिक बीजगणित मध्ये, द्विपदीीय प्रमेय द्विपदीय च्या शक्ती च्या बीजगणित विस्तार वर्णन. प्रमेय नुसार, पॉवर n हे फॉर्म axbyc या स्वरूपाच्या शब्दांचा विस्तार करणे शक्य आहे, जिथे निरुपयोगी ब आणि क, बी + c = n बरोबर नसलेले पूर्णांक आहे, आणि प्रत्येक शब्दाचा गुणांक एक विशिष्ट सकारात्मक आहे. पूर्णांक संख्या n आणि b वर अवलंबून. जेव्हा एक एक्सपोनंट शून्य असते तेव्हा संबंधित ऊर्जा सहसा टर्मपासून वगळली जाते. उदाहरणार्थ, axbyc या शब्दातील गुणांक एक द्विपदीय गुणांक किंवा म्हणून ओळखले जाते. पास्कलच्या त्रिकोणाची रचना करण्यासाठी हे गुणांक वेगवेगळे असू शकतात. हे संख्या संयोजकांमध्ये देखील उद्भवतात, जिथे ब घटकातील विविध घटकांची संख्या दाखविली जाते जी एन-एलिमेंट सेटमधून निवडली जाऊ शकते.
इंग्रजी शब्दकोशातील binomial theorem व्याख्या
द शब्दकोशमध्ये परिभाषित द्विपदीय प्रमेय म्हणजे गणिती प्रमेय जो कोणत्याही द्विपदीतचा विस्तार करून एका सकारात्मक समकक्ष शक्तीपर्यंत पोहचतो, n. त्यात n + 1 संज्ञा आहे: n = xn + nxn-1 a + xn -² a² + ... + xn- kak + ... + an, where = n! /! k !, n पासून निवडलेल्या k आयटमच्या संयोगांची संख्या.
«BINOMIAL THEOREM» संबंधित इंग्रजी पुस्तके
खालील ग्रंथसूची निवडीमध्ये
binomial theorem चा वापर शोधा. इंग्रजी साहित्यामध्ये वापराचा संदर्भ देण्यासाठी
binomial theorem शी संबंधित पुस्तके आणि त्याचे थोडक्यात उतारे.
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 ...
नवीन गोष्टी ज्यामध्ये «BINOMIAL THEOREM» ही संज्ञा समाविष्ट आहे
खालील बातम्यातील आयटमच्या संदर्भात राष्ट्रीय आणि आंतरराष्ट्रीय पत्रकार कशाबद्दल बोलले आहेत आणि
binomial theorem ही संज्ञा कशी वापरली आहे ते शोधा.
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