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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
[12] [6] The 2020 Mathematics Subject Classification contains no less than sixty-three first-level areas. [13] Some of these areas correspond to the older division, as is true regarding number theory (the modern name for higher arithmetic) and geometry. Several other first-level areas have "geometry" in their names or are otherwise commonly ...
The arithmetic mean, or less precisely the average, of a list of n numbers x 1, x 2, . . . , x n is the sum of the numbers divided by n: + + +. The geometric mean is similar, except that it is only defined for a list of nonnegative real numbers, and uses multiplication and a root in place of addition and division:
Cambodian students taking an exam in order to apply for the Don Bosco Technical School of Sihanoukville in 2008 American students in a computer fundamentals class taking an online test in 2001 An examination ( exam or evaluation ) or test is an educational assessment intended to measure a test-taker's knowledge , skill , aptitude , physical ...
In 2024, NTA reduced JEE Main syllabus to reduce pressure and stress among students and to meet the same syllabus structure as that of the NCERT revised books. In the latest 2025 Information brochure, the syllabus remained same as of 2024 but NTA reduced the number of question in Section - B of Paper - 1 (B.E/B-Tech) from 5 out 10 questions (to ...
Its vertical thickness is estimated at 5 meters (16'), its mass at around 1.1 × 10 18 kg, and its optical depth varies from 0.05 to 0.12. [citation needed] That is, between 5 and 12 percent of light shining perpendicularly through the ring is blocked, so that when seen from above, the ring is close to transparent. The 30-km wavelength spiral ...
It is a linearized Poisson–Boltzmann model, which assumes an extremely simplified model of electrolyte solution but nevertheless gave accurate predictions of mean activity coefficients for ions in dilute solution. The Debye–Hückel equation provides a starting point for modern treatments of non-ideality of electrolyte solutions.
where n 11, n 12, n 22 are the observed numbers of the three genotypes, AA, Aa, and aa, respectively, and n 1 is the number of A alleles, where = +. An example Using one of the examples from Emigh (1980), [7] we can consider the case where n = 100, and p = 0.34. The possible observed heterozygotes and their exact significance level is given in ...