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...sure) suggest that dark energy, the Cosmological Constant (Lambda) and quintessence fields are merely other names for entropy and are not related to... ...m of continuum versus discreteness seems to be related to the issue of infinity and finiteness. The number of points in a line served as the logical... ...of Cantor's thinking (Cohen completed Godel's work in 1963). But continuity can be finite and the connection is, most times, misleading rather than... ...ncepts of quality, emergence, function, derivation, influence (force), interaction, fields, (quantum) measurement, processes and a host of other hol... ...itable (non existent, actually). The counter-continuum revolution spread into most fields of science. Phase transitions were introduced to explain ... ...continuum are reducible to these two. Take a wooden stick. It is continuous (though finite the two, we said, are not mutually exclusive or mutually... ...quantum mechanics) is the one that is trying to reintroduce it now. The notion of "fields" is manifestly continuous (the field exists everywhere, s... ...existence of matter- forming, minuscule, open or closed, strings with a given - and finite - length. The vibrations of these entities yields both th... ...e precise). It is not as counterintuitive as it sounds. If the 11th dimension is of finite length, the endpoints of a line segment define 9-dimensio...

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... Einstein from an earlier position; for aren't gravitation and acceleration fields equivalent? Our fourth non sequitur follows from this quotation... ...less particles are related light-like particles — quanta of electromagnetic fields (photons). A condition under which a particle may realize an inst... ...the Universe, being observed in one reference frame, is infinite, it may be finite in another reference frame. The same is as well true for the time... ...e for the time during which the Universe evolves.” We have arrived to the “finiteness relativity” here. As it was shown, because of a difference be... ... four- dimensional cone equation like the light cone. Actually here is the “finiteness relativity” for observed objects — an observed point is the w... ...ditorial URSS, Moscow, 2001, 84 pages. 4. Borissova L.B. and Rabounski D.D. Fields, vacuum, and the mirror Universe. Editorial URSS, Moscow, 2001, 2... ...RN, EXT–2003–025). 5. Landau L.D. and Lifshitz E.M. The classical theory of fields. GITTL, Moscow, 1939 (ref. with the 4th final exp. edition, Butte... ...ther electron energy levels or proton energy levels, ie nuclear levels. The finite toral form in the hyperbolic space-form that is related to the ne... ...modeled in terms of oscillations back and forth between infinite extent and finite extent (neutral) space-forms of the neutron-neutrino pair, so tha...

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...ng the scientists. Later that evening, the scientists presented their specific fields of expertise in a public panel before lecturers and students fr... ...ere are in- PA RT I : K A B B A L A H M E E T S Q UA N T U M P H Y S I C S 48 finite possibilities around us. The wisdom of Kabbalah explains that a... ...ing enables us to hear a certain range of frequencies, and our eyes can see a finite range of colors. If we had additional senses, we could perceive... ...meaningless. The Nazis, for example, readily applied this perspective in many fields and became very efficient as both killers and scien- tists. Ofte... ...balists state that in the spiritual reality, the will to re- ceive can adopt a finite number of discrete Forms. By joining all these Forms, we can pe... ... engage in humans and the world they live in, Kabbalah states that in all our fields of research, we actu- ally research ourselves, not the world aro... ...dom of Kabbalah is based on the same research principles that ap- ply to other fields of research. Kabbalah, too, regards the observer as the researc... ...e perspective. The uniqueness of the wisdom of Kabbalah compared to any other fields of human study is that the subject of its research is the highe... ...d the Copernican heliocentric (Sun-centered) theory, which still maintained a finite universe with a sphere of fixed stars. Bruno is, perhaps, chief...

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...ache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitational fields; Mathematical theory on parallel universes; Other applications of Smarandache multi-space and combinatorics....

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.... . . . . . . . 94 On the AVSDT-Coloring of Sm +Wn BY ZHONGFU ZHANG, ENQIANG ZHU, BAOGEN XU ET AL . . . . . . . . . 105 Actions of Multi-groups on Finite Sets BY LINFAN MAO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 ...

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...true for the time during which the Universe evolves.” We have come to the “Finite Relativity Principle” here. As it was shown, because of a difference... ... four-dimensional cone equation like the light cone. Actually here is the “Finite Relativity Principle” for observed objects — an observed point is th... ...orial URSS, Moscow, 2001, 84 pages. 4. Borissova L. B. and Rabounski D. D. Fields, vacuum, and the mirror Universe. Editorial URSS, Moscow, 2001, 272 ... ...sics/0009051. 39. Beck C. Spatio-Temporal Vacuum Fluctuations of Quantized Fields Advances in Nonlinear Dynamics, v. 21, World Scien- tifc, Singapore ...

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...s to quantum mechanics. Neutrosophy is more than just a form of logic however. There are several different definitions, extending into many different fields. For our purposes here, we will concentrate almost exclusively on the logic, as the primary purpose of this book is to contrast it with other forms of logic. There is a journal devoted to the publication of papers deri...

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...r. There are several different definitions, extending into many different fields. For our purposes here, we will concentrate almost exclusively on t... ...set of valid symbols are given as the symbols of S. This set can be either finite or infinite. b) There is a set of rules defining the well-formed e... ...of S. These expressions are taken to be true by assumption. d) There is a finite set of relations R 1 , R 2 , . . . , R n between sets of the wffs i... .... . } that can have the values from 0.0 to 1.0 inclusive. This set may be finite or infinite. iii) W = {w 1 , w 2 , . . . }is a non-empty set of pos... ...s or interpretations of the variables and operators. This set may also be finite or infinite. iv) A set of functions that accepts an element of V (t... ...be any real sub-unitary subsets: discrete or continuous; single-element, finite, or (countable or uncountable) infinite; union or intersection of v...

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...ng of certain kinds of clocks under increased gravitation and acceleration fields, as predicted by the general theory of relativity, is no doubt real... ..., is no doubt real in the sense that the speed of light is slowed in such fields; but note that a pendulum-regulated clock would run faster under inc... ...simply says that electromagnetic energy and momentum is transmitted at the finite velocity of light resulting in observed distortions of space, time,... ... 20 processes would be expected to run slower under increased gravitation fields, biological processes, pendulum-regulated clocks and balance-wheel-... ...is the reduction in the speed of light inside gravitation and acceleration fields that is recognized in general relativity. __________ * Since c ... ...Einsteinian principle of equivalence equates gravitation and acceleration fields, and the speed of light in either kind of field is found to be less ...

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.... This conjecture is essentially a philosophic notion for developing mathematical sciences of 21st century, which means that we can combine different fields into a union one and then determines its behavior quantitatively. It is this notion that urges me to research mathematics and physics by combinatorics, i.e., mathematical combinatorics beginning in 2004 when I was a po...

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...1.5 ENUMERATION TECHNIQUES 1.5.1 Enumeration Principle. The enumeration problem on a finite set is to count and find closed formula for elements in this set. A fundamental principle for solving this problem in general is on account of the enumeration principle: For finite sets X and Y , the equality |X| = |Y ...

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... . . . 61 2.3 Multi-modules . . . . . . . . . . . . . . . . . . . . . . . . 62 2.3.1 Multi-module . . . . . . . . . . . . . . . . . . . . 62 2.3.2 Finite dimensional multi-module. . . . . . . . . . . . . . . .66 2.4 Action of multi-groups . . . . . . . . . . . . . . . . . . . . . . . 68 2.4.1 Construction of permutation multi-group . . . . . . . . . . . . . . 68 2.4....

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...his too one of the necessary differences between a Modern Utopia and those finite compact settlements of the older school of dreamers? It is not to be... ...tched my legs with a fine restfulness, leant back, and gave my mind to the fields and houses that lay adown the valley. What I saw interwove with frag... ...ly rulers, brew if you will, and distil; here are vine cuttings and barley fields; do as it pleases you to do. We will take care of the knives, but fo... ...und citizens of good intent.” “And it has succeeded?” “As well as anything finite can. Life is still imperfect, still a thick felt of dissatisfactions... ...oundaries? No doubt there are difficulties to be found, but they are quite finite difficulties. What is there to prevent a parallel movement of all th... ... the great scheme of space and time. I knew him incurably for what he was, finite and not final, a being of compromises and adaptations. I had traced ... ...idual error. So long as you are reasoning for practical purposes about the finite things of experience, you can every now and then check your process,...

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...hing better than to roam about the country, to come and go and live in the fields. With the courage of a child that fears no failure, in which there i... ... said, “it was desolation itself.” I was all ears when he told of his seed-fields and nurseries. New to country life, I besieged him with questions ab... ...y. There were no flowers in the vases of her gray salon. I rushed into the fields and vineyards to make her two bouquets; but as I gathered the flower... ...alley neath the rays of love! Before long I communed with the flora of the fields, as a man whom I met in after days at Grandlieu communed with his be... ...s, its vineyards, its hedges overhanging a bog, surrounded by a few sparse fields of rye; true image of many humble existences:—be it a for- est path ... ... the soul. The love which the mistress satisfies has its limits; matter is finite, its inher- ent qualities have an ascertained force, it is capable o...

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...n different directions, and a great many men and women were at work in the fields. All this hurry, noise, and singing was very different from the stil... ...hen I began to make this subject my study. It was with me in the woods and fields; along the shore of the river, and wherever my boyish wanderings led... ...Bondage and My Freedom most of the time, took me from the corn and tobacco fields, where the great body of the hands were at work, and where scenes of... ... blood-bought luxuries gathered with painstaking care, at home and abroad. Fields, forests, rivers and seas, are made tributary here. Immense wealth, ... ... we thought, at public outcry; and we should be hurried away to the cotton fields, and rice swamps, of the sunny south. This was the cause of deep con... ...ith trouble 242 My Bondage and My Freedom and anxiety, often conceal from finite vision the wisdom and goodness in which they are sent; and, frequent...

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...oing, the steep banks of which serve the double purpose of ramparts to the fields and of picturesque promenades for the inhabitants of that pretty lit... ...at Montereau after the battle, in despair at see- ing his farm burned, his fields ruined, his cattle slaughtered. “We’ll get nothing out of your great... ...at least it seemed to him to upset, the powerful arguments of Spinoza. The finite and the infinite, two incompatible ele- ments according to that rema... ...that land, without a single enclo- sure, around the Chateau du Rouvre? The fields and the mill the other side of the Loing make sixteen thousand more....

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...taken her seat. “And yet she could quit the joys of Seville, its woods and fields of orange-trees, for a Norman soldier who won her love and carried h... ...and had six months since given a pair of horses, which he also used in the fields, and an old carriage that rattled on the road, decided that she woul... ...tess, with an icy look. “Do you not comprehend that we are, after all, but finite creatures? Our feelings seem infinite by reason of our antici- patio...

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...ng men walked away at a steady pace, over hill and dale, through woods and fields, and at last found themselves on a grassy elevation studded with mos... ...atural enough in a mind which finds its horizon insidiously limited to the finite, even in very picturesque forms. Whether it is one that tacitly con-...

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...clear and easy-to-understand language. Author’s diverse background in neuroscience, bioengineering, and humanities allowed him to integrate all these fields into a coherent and fascinating text. His contribution to our common knowledge of evolutionary neurobiology will be extremely valuable to established neuroscientists, medical and graduate students and interested people...

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... skin indefinitely,” began Raphael, quite of out pa- tience. “Substance is finite,” the mathematician put in, “and there- fore will not admit of indef... ... a closer understanding between the water, the sky, the mountains, and the fields. There is a balm there for all the agitations of life. The place kee... ...tions, and of the vegeta- tive life into which we sink so gladly among the fields. The day after he arrived he climbed the Pic de Sancy, not without d...

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...s in common there with. I call it rather a discerning of the Infinite in the Finite, of the Idea made Real; which discerning again may be either true ... ...o the extent of three: Cities, with their Cabinets and Arsenals; then tilled Fields, to either or to both of which divisions Roads with their Bridges ... ...an Infinite in him, which with all his cunning he cannot quite bury under the Finite. Will the whole Finance Ministers and Upholsterers and Confectione... ... and revelation of the Infinite; the Infinite is made to blend itself with the Finite, to stand visible, and as it were, attainable there. By Symbols, a...

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...finitely little? That a right line, which is a right line so long as it is finite, by changing infinitely little its direction, becomes an infinite cu... ...ect to us, for having buried Mademoiselle Le Couvreur ignominiously in the fields. But be assured from me, that the English were prompted by no other ...