Answer to: Compute the value of the following improper integral. Integral from -infinity to -1 of e^(4t) dt. By signing up, you'll get thousands of...
Evaluate the integral: integral from e to infinity of 2/(x*(ln x)^2) dx. Compute the integral: I(a) = integral from 0 to infinity of exp(-ax^4) x^3 dx. Calculate the integral: integral from -infinity to infinity dx (e^(ix))/(x-1). Compute the integral of x^...
In this paper, we establish improved upper bounds on the size of integral solutions to hyper- and super-elliptic equations under the conditions of LeVeque ( Acta. Arith. IX (1964), 209- 219). The proof follows the classical argument of Siegel ( J. London Math. Soc. 1 (1926), 66-68...
Chari, V., Pressley, A.: Integrable representations of twisted affine Lie-algebras. J. Algebra. 113, 438–464 (1988) Article MathSciNet MATH Google Scholar C. Chevalley, Sur certains schemas de groupes semi-simples, Sem. Bournaki (1955), Exp. 219. T. M. Fisher-Vasta, Presentation of...
Berthelot, P.: Quelques calculs de groupes K, Exp. IX, Théorie des intersections et théorème de Riemann–Roch, Séminaire de géométrie algébrique du Bois-Marie 1966–1967 (SGA 6). In: Lecture Notes in Mathematics, vol. 225. Springer, Berlin (1971) Borel, A., Haefliger, A.: La...
The velocity potential of the Kelvin ship-wave source is fundamental in the mathematical theory of the wave resistance of ships, but is difficult to evaluate numerically. We shall be concerned with the integral term F(x,$ho $,$\\alpha $) = $\\int_{-\\infty}^{\\infty}$ exp{-$\\...
Molecules 2017, 22, 945 Molecules 2017, 22, 945 5 of 17 5 of 17 FigFuirgeu2re. E2.xEpxepriemrimenetnatlasleste-tu-pup: :(1(1) )CCleleaannddrryyaaiirr;; ((22)) tthheerrmmoossttaatteeddffoorrmmaaldldehehydyde e(H(HCHCHO)Og)egneenraetroart;or; (3)(m3)ixmeirx;e(r4; )(4...
Likewise, the availability of various mutants lacking regulatory functions has made it possible to address the role of excitation energy distribution and electron flow in the thylakoid membrane in inducing the retrograde signals from chloroplasts to the nucleus. Such signalling molecules also induce and ...
(1.3.1)G(x,y)=exp(ik|x−y|)4π|x−y|,x,y∈ℝ3. As follows from the definition, this is a symmetric function of two spatial pointsxandy: (1.3.2)G(x,y)=G(y,x), and is a distance function between points x and y. This function satisfies the equation: ...
Integral of (e^(5x))/(x^2) dx. Evaluate integral_ {- infinity} ^ {infinity} (x + 1)^2 e^{-x^2} dx. Compute the integral: I(a) = integral from 0 to infinity of exp(-ax^4) x^3 dx. Evaluate: integral from 0 to infinity of e^(-st) sqrt(1 - e^(-st)) dt,...