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Generating Functions (X) Mathematics (X)

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 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: WPLBN0002097085 ► Abstract Full Text Search Details... paradoxes. Hence, we again see the need for comparative physical models in generating data concerning the nature of scientific enigmas. Accordingly... ...ectron loci came to be defined as probability distributions of quantum wave functions ―(thus formalizing the suspension of Maxwell theory in the atom...
 Book Id: WPLBN0002097108 Subjects: Non Fiction, Education, Smarandache Collections ► 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: WPLBN0002097651 Subjects: Non-Fiction, Education, Smarandache Collections ► Abstract Full Text Search Details...unction or decreasing function. Just we proceed on to define when are two functions disjoint and the concept of min max functions. 10 DEFINITION... ...ce o(aµ a –1 ) = o (µ ) = 1 for any a ∈ G. From this example we see the functions µ and aµ a –1 are not equal for some a ∈ G. Thus it is interest... ...esting to note that if µ is fuzzy subgroup of an abelian group G then the functions µ and aµ a –1 are equal for any a ∈ G. However it is important a... ... )(x) = µ (x) for every x ∈ G. Hence aµ a –1 = µ for any a ∈ G. Thus the functions aµ a –1 and µ are identical but G is not an abelian group. It is... ...e a groupoid. Let G denote the family of subgroupoids of X. G is called a generating family if for every element x ∈ X there exists a S ∈ G such tha... ...very element x ∈ X there exists a S ∈ G such that x ∈ S. {X} is a trivial generating family. DEFINITION 1.11.24: Let (X, ) be a groupoid. An eleme... ...y ψ and (Ω ,A , P). THEOREM 1.11.61: Let (X, ) be a groupoid and G be a generating family of X. For x ∈ X let S x = {S ∈ Gx ∈ S} and let W = {S ... ...id. Let G be the family of S-subgroupoids of X. G is called a Smarandache generating family (S-generating family) if for every element x ∈ S ⊂ X (S ... ...rreducible, 298 S-galois field, 305 S-generalized state machine, 434 S-generating family, 266 S-g-fuzzy topology, 273 S-groupoid, 265 S-homomor...
 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: WPLBN0001235223 Subjects: Non Fiction, Education, Economics ► Abstract Full Text Search Details...ypothesis. As Holbrook Working proved in his seminal work, hedges fulfill other functions as well - but even he admitted that speculators assume... ...ise grows, two processes combine to denude the entrepreneur of some of his initial functions. The firm has ever growing needs for capital: financia... ...bargaining for the allocation of scarce resources in order to attain their utility functions, to secure the outcomes and consequences (the value, t... ...from quantum mechanics. For instance: strategies could have been described as wave functions with probability distributions. The same treatment cou... ...rmation, which is not permanently captured or is captured without the intention of generating formal information (=without the pretence: "I am info... ...which, as you may recall, constitute 60-70% of all FDI are notorious for inexorably generating job losses. FDI buttresses the government's budgetary... ...ble to survival, at least to the survival of intelligence. By "meaningful" I mean: generating a useful and immediately applicable representation of... ...the world, ourselves and our interactions with the world. When no longer capable of generating such meaningful representations (because technology h... ... envisioned the geometry of space and so on. But, in the past, technology ended up generating objects - while science ended up generating rules and...
 Book Id: WPLBN0001235224 Subjects: Non Fiction, Education, Economics ► Abstract Full Text Search Details...d as murder. Phenomenology is deceiving: the acts look the same (cessation of life functions, the prevention of a future). But murder is the intent... ...t strives to alter that which exists with regards to its quantity, its quality, its functions, or its program / vision. All these parameters of chan... ...nly then can criticism be aired: "(In that which exists), the quantity, quality, or functions are wrong, lacking, altogether missing". The common e... ... Or, by creating voluntary, self-regulating organizations of free individuals whose functions parallel those of established hierarchies and institut... ...lassifiers Systems). To use Holland's vocabulary, language is a set of Constrained Generating Procedures. "Vague objects" (with vague spatial or te... ...rmation, which is not permanently captured or is captured without the intention of generating formal information (=without the pretence: "I am info... ...n. It is a hypothetico-deductive method for gleaning events in a person's life and generating insights regarding their connection to his current st... ...stitutes its own falsification. In other words, it is a meta-theory: a theory about generating theories in psychology. Moreover, psychoanalysis the... ...er". His lingual energy is absorbed in the field of potentials and remains trapped, generating dissociations and stamping the field of potentials wi...
 Book Id: WPLBN0002097119 ► Abstract Full Text Search Details...ov Hydrodynamic Covariant Symp- lectic Structure from Bilinear Hamiltonian Functions. . . . . . . . . . . . . . . . . . . . 92 D. Rabounski, L. Boriss... ...nal feld are the proper radius and the curvature radius, both of which are functions of r. The variable r is actually a Euclidean parameter which is m... ...r)dr 2 −C(r) dθ 2 +sin 2 θdϕ 2 , (2a) A,B,C>0, whereA,B,C are analytic functions. I emphatically remark that the geometric relations between the c... ...+dz 2 − −H |x−x 0 |dx+|y−y 0 |dy+|z−z 0 |dz 2 , (5) whereF,G,H>0 are functions of D= q |x−x 0 | 2 +|y−y 0 | 2 +|z−z 0 | 2 =|r−r 0 |, andP 0 (x 0... ... = =A(D)dt 2 −B(D)dr 2 −C(D) dθ 2 +sin 2 θdϕ 2 , (6) where A,B,C>0 are functions of D=|r−r 0 |. Equation (6) is just equation (2a), but equation (... ...he reason that we will consider situations derived from different factors, generating gravita- tional wave felds, not only the space deformation. The ... ...th the ground ( most stable ) state of the Hydrogen atom [3]. The spectrum generating group of the Hydrogen atom is well known to be the conformal gro... ...iant canonical symplectic structure. The variation (67) may be seen as the generating functionG of canonical transformations where the generators ofq−...
 Date: 2013, Volume 1 Book Id: WPLBN0002828224 ► Abstract Table of Contents Details...nces on DSmT 1 1 Presentation of DSmT 3 1.1 Introduction . . . . . 3 1.2 Short introduction to the DST . . . . 5 1.2.1 Shafer’s model and belief functions . . . 5 1.2.2 Dempster’s rule of combination . . . 5 1.2.3 Alternatives to Dempster’s rule of combination . . . 6 1.2.4 The discounting of sources of evidence . . . 10 1.3 Foundations of the DSmT . . . . 11 1.3...
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