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If several such values happen to lie close together, the corresponding parabolas approximately coincide, and the triples cluster in a narrow parabolic strip. For instance, 38 2 = 1444, 2 × 27 2 = 1458, 3 × 22 2 = 1452, 5 × 17 2 = 1445 and 10 × 12 2 = 1440; the corresponding parabolic strip around n ≈ 1450 is clearly visible in the scatter ...
For instance, mathematics-related textbooks available in Kerala for higher education often lack explanatory content for equations and solutions, with portions of solutions missing, and are generally presented in a listed manner. This type of disjointed format intimidates students and discourages engagement, and presents challenges for educators.
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:
This is an accepted version of this page This is the latest accepted revision, reviewed on 13 January 2025. Educational assessment For other uses, see Exam (disambiguation) and Examination (disambiguation). 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 ...
- But because the representations of E and F with p = 5 have exactly the same structure, and we know that ρ(F, 5) is modular, ρ(E, 5) must be modular as well. 8.3 Therefore, if ρ(E, 3) is reducible, we have proved that ρ(E, 5) will always be modular. But if ρ(E, 5) is modular, then the modularity lifting theorem shows that E itself is modular.
Solution of this equation is far from straightforward. Debye and Hückel expanded the exponential as a truncated Taylor series to first order. The zeroth order term vanishes because the solution is on average electrically neutral (so that Σ n i z i = 0), which leaves us with only the first order term. The result has the form of the Helmholtz ...
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 ...
This is an accepted version of this page This is the latest accepted revision, reviewed on 17 January 2025. Civil services examination in India This article is about the examination in India. For civil service examinations in general, see civil service entrance examination. This article may need to be rewritten to comply with Wikipedia's quality standards. You can help. The talk page may ...