The Integral in TL TheoryAsymptotic Seriesdifferential thermal analysis (DTA)thermally stimulated depolarization currents (TSDC)“converging factor”thermogravimetry (TG)Summary This chapter contains sections titled: The Integral in TL Theory Asymptotic Series Other Methods...
Definitions of exponential integrals The exponential integral , exponential integral , logarithmic integral , sine integral , hyperbolic sine integral , cosine integral , and hyperbolic cosine integral are defined as the following definite integrals, including the Euler gamma constant :...
The exponential integral function Ei( x ) fills this deficiency, but has an inconvenient discontinuity at x = 0. The entire exponential integral Ein( x ) lacks discontinuities, being related by 37:0:1 $${m{Ein}}(x) = \\\gamma + \\\ln \\\left( {\\\left| x ight|} ight) - {...
The exponential integral distribution is introduced. The gamma distribution is a subclass of this distribution. The higher order exponential integrals are ... JW Meijer,NHG Baken - 《Statistics & Probability Letters》 被引量: 11发表: 1987年 ...
However, the incomplete gamma function is a more complete way to calculate the temperature integral than the exponential integral because [p.sub.m](x) = [LAMBDA](-(m + 1),x) yielded consistent results (low errors) for any m, integer or non-integer in the interval 1 [less than or equ...
Although its applications span a broad scope of scientific fields ranging from applied physics to computer graphics, the exponential integral is a nonelementary special function available in specialized software packages but not in standard libraries, consequently requiring custom implementations on most plat...
(E\left[ {T_{ij}^n} \right] = \frac{1}{{\lambda _i}}\exp \left( {\frac{{\alpha _{ij}}}{{\lambda _i}}} \right)\mathop {\sum}\limits_{m = 1}^n {{E}_m\left( {\frac{{\alpha _{ij}}}{{\lambda _i}}} \right)}\), whereEm(x) is the exponential integral. ...
where E1 is the exponential integral; uo is the initial velocity of the particles; b is dimensionless and related to the ratio of the incident energy to the mean excitation potential; and the big-O notation is used to describe the error term in the approximation. It indicates that the absol...
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exponential function,mapping,mathematical function,single-valued function,map- (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) ...