On Lambert's W Function

TL;DR: An infinite family of efficient and practical algorithms for generating order preserving minimal perfect hash functions is presented, and it is shown that almost all members of the family construct space and time optimal order preserve minimal perfectHash functions, and the one with minimum constants is identified.

TL;DR: In this paper, an exact analytical solution of the channel surface potential as an explicit function of the gate voltage for either n or p channel operation is presented, and an approximate but highly accurate analytical solution is continuously valid for all regions of operation.

TL;DR: In this article, the neural network technique was applied to the study of the cross-flow microfiltration process and two application procedures were presented: (i) the "black-box" approach does not require an accurate description of the process, relying merely on the ability of neural networks to approximate the dynamics of any system; (ii) the semi-physical approach is an attempt to take into account a priori knowledge.

TL;DR: In this paper, an analysis of the exchange energy of a homonuclear molecular ion was carried out in a model problem consisting of the one-dimensional limit of H2+ and it was demonstrated that the use of the infinite polarization expansion for the localized wave function in the Holstein-Herring formula yields an approximate exchange energy which at large internuclear distances R has the correct leading behavior to O(e−R).

TL;DR: This text describes the Maple Symbolic Computation System and the Maple V language and describes the numeric and symbolic expressions that can be used in Maple V, including its 2D and 3D graphics.

TL;DR: In this article, the Navier-Stokes equations are solved in parametric form using a complex variable formulation, where the dependent variables in the complex system are the stream function y and an auxiliary function 0 associated with the Bernoulli function.

TL;DR: Alfaro et al. as mentioned in this paper conservado en la Biblioteca del Campus de Mostoles de la Universidad Rey Juan Carlos (sign. 517.5 TIT THE).

TL;DR: This book discusses Polynomials GCD Computation, the construction of bases for Polynomial Ideals, and the Risch Integration Algorithm, which automates the process of solving Systems of Equation.