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Generating Functions (X) Mathematics (X)

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 Book Id: WPLBN0002097083 Subjects: Non Fiction, Education, Mathematics ► Abstract Description Details...p://www.gallup.unm.edu/~smarandache/), the Smarandache Notions Journal always published by American Research Press, and several books on conjectures, functions, unsolved problems, notions and other proposed by Professor F. Smarandache in "The Florentin Smarandache papers" special collections at: the Arizona State University (Tempe, USA), Archives of American Mathematics (U... Full Text Search Details...A SET OF NEW SMARANDACHE FUNCTIONS, SEQUENCES AND CONJECTURES IN NUMBER THEORY Felice Russo AMERICA... ...ys published by American Research Press, and several books on conjectures, functions, unsolved problems, notions and other proposed by Professor F. Sm... ...ing. This book, following the Smarandache spirit, presents new Smarandache functions, new conjectures, solved/unsolved problems, new Smarandache type ... ...erse. So let's start our observation. 4 Chapter I On some new Smarandache functions in Number Theory. A number-theoretic function is any function whi... ...t. Euler's function (n) j [3] is such, as are n!, º ß n , 2 n etc. The functions which are interesting from number theory point of view are, of co... ... ) 4 ( ) 3 ( ) 2 ( ) 1 ( a a a a As example see [4]. 42 4) Smarandache generating function Analogously to the well known definition in number theo... ... function Analogously to the well known definition in number theory of the generating function [5], for any Smarandache sequence a(n) we can define th... ...g function Sf(x): = n n x n a x Sf ) ( ) ( Problem 2 . Determine the generating function Sf for some of the most popular Smarandache sequences. ...
 Book Id: WPLBN0002097084 Subjects: Non Fiction, Mathematics, Finances ► Abstract Full Text Search Details... ... 37 3. Exploring the Biological Basis of Utility Functions – Computational Implementation of a Genetic Algorithm ... ...ogical basis of the Black-Scholes -type expected utility functions ... ...bbas’ works modifies earlier works on interpretation of normalized utility functions as a probability distribution of some hypothetical game of chanc... ...utions with the objective of obtaining convenient expressions for utility functions (Berhold, 1973). According to Abbas’ formulation, when faced with... ...ion loop and subsequently feeds it. 1.3 Non-linear Feedback Processes Generating a Rationalization Loop In a linear autoregressive model... ...-Shafer Theory (Dempster, 1967; Shafer, 1976) the belief and plausibility functions are defined as follows: 30 ... ...e of rigorous empirical research to test its veracity. Apart from generating purely academic interest, we feel that our work shall also stim... ...und was not much better at -1.49%! Gold futures performed reasonably well generating a monthly average return of 1.20%. Relating to Chapter ...
 Book Id: WPLBN0002097105 ► Abstract Full Text Search Details...ies It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from X to Y, binary relations R(X, ... ...assign to each element of X two or more elements of Y. Some basic operations on functions such as the inverse and composition are applicable to bina... ...π h created by the function h on the set X are no longer distinguished. These functions are useful for performing various kinds of simplifications... ...es of the feasible domain they determine an optimal solution without explicitly generating the whole set of minimal solutions. The notion of FRE ba... ...some issues on Archimedean t-norms. A very important way for generating Archimedean t-norms is based on the so-cal... ...function f(x). some related applications of this model with different objective functions can be found in [107] for medical diagnosis, and in [60] f... ... GAOFRC uses floating-point representation for individuals. Instead of randomly generating a population, the initialization process generates a feas... ...le, we present an initialization module to initialize a population by randomly generating the individuals inside the feasible domain. Since some el... ...al results and proofs exists. • All training data in [6] were constructed by generating random inputs first and computing corresponding outputs ...
 Book Id: WPLBN0002097087 ► Abstract Full Text Search Details...mined in the author’s book Surfing on the Ocean of Numbers [2]. These three functions have in common that they aim to answer the question which is t... ...2. Charles Ashbacher, Pluckings From the Tree of Smarandache Sequences and Functions, American Research Press, 1998. 3. Charles Ashbacher, On Iter... ... Ashbacher, On Iterations That Alternate the Pseudo-Smarandache and Classic Functions of Number Theory, Smarandache Notions Journal, Vol. 11, No 1-2... ...le 4 only skims the surface of the “ocean of numbers” the number of numbers generating this invariant is as 29 stable as for the oth... ...2. Charles Ashbacher, Pluckings From the Tree of Smarandache Sequences and Functions, American Research Press, 1998. 3. Charles Ashbacher, On Iter... ... Ashbacher, On Iterations That Alternate the Pseudo-Smarandache and Classic Functions of Number Theory, Smarandache Notions Journal, Vol. 11, No 1-2...
 Book Id: WPLBN0002097042 ► Abstract Full Text Search Details...at the same time, simulating an infinite speed of propagation for a point generating a line. [2] "Speed," the magnitude of the velocity vector, i... ...alog of rocketship acceleration. For such an analysis in terms of Bessel functions see for example R. W. Landee et al, Electronic Designers' Handb...
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