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Generating Functions (X) Physics (X)

       
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Today's Take on Einstein's Relativity

By: Homer B. Titon and Florentin Smarandache

...d by c to preserve the ratio to c nature of the arguments of the hyperbolic functions. Then to get the time coordinate the 1/g term in the t equati... ...hat some of the odd dimensional space-forms 50 have a natural energy generating oscillation associated to themselves. This is important in de... ...alent to the intention of existence to know and create. That is, the energy generating oscillating space- forms (in the dimensional hierarchy of met... ...makes in the form of interaction space-forms] [so that, in turn, the energy generating spectrally diverse space-forms]] can form the new (physical o... ...ure (ie a higher dimensional containing space- form) that is oscillating and generating energy that is used to establish resonance with the space-for... ... which contains the material geometry. Thus there is a hierarchy of energy generating spectral shapes (all ultimately within some huge spectral str... ... also be identified as fiber structures. Function spaces - Large sets of functions that are characterized by some property, eg the set of periodi... ... functions. Spectral sets - Within a function space there exist a set of functions (not as big a set as the function space) which has the propert... ...factors. For example, the set {sin(nx)} is a spectral set for the periodic functions. Spectra - The natural lengths of vibration of a physical s...

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Speculations and Physics

By: Sam Vaknin, Ph. D.

...lassifiers Systems). To use Holland's vocabulary, language is a set of Constrained Generating Procedures. "Vague objects" (with vague spatial or te... ..."matched" or PLL filter whose properties let through the collapsed outcomes of wave functions (when measured) - or the "signal". The rest of the sup... ...l theories were proven to be distributed among discrete values (called attractors). Functions behave "catastrophically" in that minute changes in th... ...e the allowed ones. The complex of these processes is Consciousness and all these functions together constitute the Ego or the Administrative Syst... ...er". His lingual energy is absorbed in the field of potentials and remains trapped, generating dissociations and stamping the field of potentials wi... ... the basics of a new branch in Mathematics (and logic): computability or recursive functions (later to be developed into Automata Theory). The aut... ...y, what is this "contribution" if not another name for .... meaning?! Moreover, in generating a truth-theory based on the specific utterances of a ... ...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...

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Modelling of Rationality...and Beyond the Physics

By: Gh. C. Dinulescu

...(As an unprecedented hypothesis, one could deem these actions as the ones generating the universal trend of matter concentration). In the case... ...nt stochastic movement), an acausal law (from the physical point of view) generating and defining eternal order and permanence, the only workable la... ...haphazard prevail). The spiritual reality endowed with the intrinsic law generating order and permanence is called COSMOS. It is necessary to acce... ...se “unconscious” body’s actions like: respiration, blood circulation, the functions of all internal organs, the vegetative function, the sexual repro... ...his ″disease″, in disagreement with the natural morals, and what is more, generating, in the same fashion as Marxist thinking, malformed social trans... ...e animal Being also seems to be destined to the building of those rational functions which stand for the forming and consolidating the primary instin... ...uld have brought more contributions to the present level of the algebraic functions, even though this one is based on his own theory of solving equa... ...s own theory of solving equations? Besides, the theory of the mathematical functions found another modern and more efficient way of developing itself...

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Progress in Physics : The Journal on Advanced Studies in Theoretical and Experimental Physics, Including Related Themes from Mathematics, Volume 2

By: Florentin Smarandache

...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−...

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Begin the Adventure : How to Break the Light Barrier

By: Florentin Smarandache

...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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Advances and Applications of DSmT for Information Fusion (Collected Works) : Volume 1

By: Florentin Smarandache; Jean Dezert

...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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The Alkahest

By: Honoré de Balzac

... ignorant and voracious readers who want emotions without undergo- ing the generating process, the flower without the seed, the 4 The Alkahest child ... ...re not yourself. The life of the heart, like the life of the body, has its functions. For six years you have been dead to love, to the family, to all ... ...ld an appointment as inspec- tor-general of the University, resigned those functions to enjoy his happiness more freely, and remained at Douai where e...

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The Lily of the Valley

By: Honoré de Balzac

...ing with your intellect and your facul- ties, you must set before you as a generating principle and mainspring, this maxim: never permit yourself to a... ..., was not appointed till August, 1817. The choice was a difficult one; our functions demanded so many capa- bilities that the king was long in coming ... ...ils of a daily life full of incessant toil, learning the full extent of my functions, which to any one not sternly upright offered opportunities for d... ... If this state con- tinues it deranges, at first insensibly, the digestive functions; the secretions change, the appetite is impaired, and the di- ges...

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A Modern Utopia

By: H. G. Wells

...or so many thousands or millions of units of energy at one or other of the generating stations. Now the problems of economic theory will have under- ... ...ve purposes, but they still survive to discharge a number of curious minor functions, and not the least among these is this sort of aesthetic ostracis...

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The Uncommercial Traveller

By: Charles Dickens

... legal argument, no Nisi Prius with eloquent ap- peal to British Jury; that the air will to-morrow, and to-mor- row, and to-morrow, remain untroubled ... ...very gentle- man present is required to drink something nasty. These Mataboos are a privileged order, so important is their avoca- tion, and they make...

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Democracy and Education

By: John Dewey

..., the school, to care for such matters. This mode of association has three functions sufficiently specific, as compared with ordinary associations of ... ...fter nurturing the capacities of the immature. Three of the more important functions of this special environment are: simplifying and ordering the fac... ... limited place and function, requiring to be supplemented by the place and functions of the other organs. As one portion of the bodily tissue is diffe... ...ew lies in ignoring the existence in a living being of active and specific functions which are developed in the redirection and combination which occu... ...pectator, but influences the steps taken to reach the end. The fore- sight functions in three ways. In the first place, it in- volves careful observat... ...iable significance. An experience, a very humble experience, is capable of generating and carrying any amount of theory (or intellectual content), but...

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