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searching for Riemann integral 10 found (206 total)

Nonstandard calculus (3,981 words) [view diff] exact match in snippet view article find links to article

infinitesimal h is suitably restricted. For the second theorem, the Riemann integral is defined as the limit, if it exists, of a directed family of Riemann

Carus Mathematical Monographs (734 words) [view diff] case mismatch in snippet view article find links to article

Problems, by Charles Robert Hadlock - ISBN 9780883850206 The Generalized Riemann Integral, by Robert M. McLeod - ISBN 9780883850213 (out of print) From Error-Correcting

Lobachevsky integral formula (427 words) [view diff] exact match in snippet view article find links to article

_{0}^{\infty }{\frac {\sin x}{x}}f(x)\,dx} is taken to be an improper Riemann integral, we have Lobachevsky's Dirichlet integral formula ∫ 0 ∞ sin 2 ⁡ x x

Oscillation (mathematics) (1,146 words) [view diff] case mismatch in snippet view article

Trench, 3.5 "A More Advanced Look at the Existence of the Proper Riemann Integral", pp. 171–177 Hewitt and Stromberg (1965). Real and abstract analysis

The Analyst (2,065 words) [view diff] case mismatch in snippet view article find links to article

1986), "What is a Differential? A New Answer from the Generalized Riemann Integral", The American Mathematical Monthly, 93 (5): 348–356, doi:10.2307/2323591

Hidegorō Nakano (407 words) [view diff] exact match in snippet view article find links to article

Riesz spaces, Orlicz-Nakano spaces and Nakano space. Source From Riemann integral to Lebesgue integral (1940) Hilbert Space Theory (1946) Classical Integration

Variance (10,207 words) [view diff] exact match in snippet view article find links to article

}^{+\infty }x^{2}f(x)\,dx-\mu ^{2},} where the integral is an improper Riemann integral. The exponential distribution with parameter λ > 0 is a continuous

Multilinear form (4,599 words) [view diff] exact match in snippet view article find links to article

its integral over the unit n {\displaystyle n} -cell as the iterated Riemann integral of f {\displaystyle f} : ∫ [ 0 , 1 ] n ω = ∫ [ 0 , 1 ] n f d x 1 ∧

List of inventions in the medieval Islamic world (9,274 words) [view diff] case mismatch in snippet view article find links to article

work by Al-Karaji, quoted by Al-Samaw'al in his "al-Bahir". Cauchy-Riemann Integral: Ibn al-Haytham gave a simple form of this. Decimal fractions: Decimal

Creep and shrinkage of concrete (4,305 words) [view diff] no match in snippet view article find links to article

(t')=[{\mbox{d}}\sigma (t')/{\mbox{d}}t']{\mbox{d}}t'} to obtain the standard (Riemann) integral. When history ϵ ( t ) {\displaystyle \epsilon (t)} is prescribed,