Full Text Search Details
...is repeated till we get a limit cycle or a fixed point. DEFINITION 2.1.11: Finite number of FRMs can be combined together to produce the joint ef... ...is repeated till we get a limit cycle or a fixed point. DEFINITION 4.1.11: Finite number of NRMs can be combined together to produce the joint ef... ...l woman. Also they were unaware of any other vocation. Only, they work in the fields and some of them in beedi factories so the, lack knowledge of a... ...eory. In the past decade she has guided eight Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transport...

Full Text Search Details
...ination, the relevance is that, for God, an individual’s life is a single, finite reality—not a series of events but, rather, the completed manuscript... ...y of subsequent moves possible. The computer, no matter how complex, has a finite ability to foresee possible moves, it cannot deal with an infinite p... ...ands depending on the abundance of game and fish and the need to cultivate fields. English settlers did not see, or chose not to see, that Indians act... ...ples, the family matron was frequently considered to own the family’s farm fields, 146 though she was not entitled personally to buy or sell this land... ...r both hunters and planters, ultimate possession of the tribe’s lands, its fields or forests or plains, was by the whole people. The lands were hunted... ...s, and with care not to take from nature more than one needed. Working the fields was done communally by American Indian women in companionable groups... ...t is difficult to find a detailed discussion of Jung’s ideas as applied to fields other than psychiatry and psychopathology that does not take one sid...

Full Text Search Details
... more powerful it is and less limited. Radio waves, magnetic and electric fields, radioactive radiation, and gravity, are all examples of forces tha... ...per world according to its reincarnations, its destiny and its predefined finite state. Unless you've learned these ways, my words will seem empty t...

Full Text Search Details
...alents to touch the most readers when I feel ineffective. In my weakness and finite vision, God displays His strength and does things in my heart and ... ...ol of Law, and has written professionally for over ten years in a variety of fields. Currently living in a suburb of Baltimore, she is ideally positio...

Full Text Search Details
... space radiated and conducted signals I bave described to you; the third phenomenon was magnetic fields. Maybe you remember from high school pbysics h... ... open and close to form the elements of teletypewriter characters being processed.. The magnetic fields surrounding those magnets ·upand and coDapse e... ...tioD of each relay and thus recover the characters being processed. The bad thing about magnetic fields is that they exist in various strengtba for vi... ...lt to suppress. The good thi~g about them is that they "attenuate" or decay rapidly. Even strong fields disappear in 30 feet or so, so they comprise a... ...pressiOD measures BellLabs suggested were: 1. Shielding (for radiation through spaceand magDetic fields), 2•. FilteriDg (for conducted signals OD powe... ... theoretical vu1Derabili.ty was healthy, and driven by a recopition that our resources were both finite aDd, for the foreseeable future, inadequate to... ...simply been sbown to adequate)y resist whatcvertinds of crypto-mathematlcal attacks we, With our finite resources and brains, have bee9-able to think ...

Full Text Search Details
...s are maintained - though not necessarily realized. But the amount of new money is finite and, in this sense, this kind of market is essentially a ... ...e CAPM and gave it a dynamic form. He applied option pricing formulas in different fields. He is most known for deriving a formula which allows st... ... – and should be argued against. The number of agents in any game is assumed to be finite and a finite number of steps is mostly incorporated into ... ...oral and, in effect, forbidden. Game Theory is out to shatter both the notion of a finite chain of means and ends culminating in an ultimate end – ... ...of the American Embassy in Israel (1978). Hundreds of professional articles in all fields of finance and economics, and numerous articles dealing w...

Full Text Search Details
...e. It is hoped that it will prove valuable, too, to students and workers in other fields such as politics, human services and a broad spectrum of i... ...or method customarily employed by each discipline in solving problems. While most fields of endeavor employ a number of problem-solving techniques, ... ... new strains of corn. The adoption of innovations in a variety of nonagricultural fields also built up a body of theory and research. The work of ... ...res similarities with purchase decision making. For one thing, the human brain is finite in size and capacity. Whether acquiring goods or adopting ... ... engage in exciting joint ventures with social scientists and policymakers in such fields as ecology, social services, law, international developmen...

Full Text Search Details
... computers takes over the world. It harvests human embryos in laboratories called "fields". It then feeds them through grim looking tubes and keeps... ...oreover, if the Matrix were a computer program of infinite complexity, no observer (finite or infinite) would have been able to say with any certain... ...t, is still thinkable. But what about an entity that is "pure energy", a matrix of fields, a thought, immaterial yet very real, omnipresent and pre... ...rs or human-calculators, to use Turing's unfortunate phrases). The emphasis was on finiteness: a finite number of instructions, a finite number of ... ...a finite number of instructions, a finite number of symbols in each instruction, a finite number of steps to the result. This is why these methods ... ..., however, is the outcome of some underlying assumptions: First, that the world is finite and also close to its end. To say that something that did... ... say that it will never happen (i.e., to say that time and space – the world – are finite and are about to end momentarily). Second, truth and fal... ...of the American Embassy in Israel (1978). Hundreds of professional articles in all fields of finance and economics, and numerous articles dealing w...

Excerpt Details
...ces was studied. It is said by Zoltan Esik that these bialgebraic structures like bigroupoids, bisemigroups, binear rings help in the construction of finite machines or finite automaton and semi automaton. The notion of non-associative bialgebraic structures was first introduced in the year 2002. The concept of bialgebraic structures which we define and study are slightly ...

Full Text Search Details
... like bigroupoids, bisemigroups, binear rings help in the construction of finite machines or finite automaton and semi automaton. The notion of non-... ...G we say G is a abelian or a commutative group. If the group G has only a finite number of elements we call G a group of finite order otherwise G is... ...ssical theorems on group are just recalled. LAGRANGE THEOREM: If G is a finite group and H is a subgroup of G then o(H) is a divisor of o(G). N... ... be denoted by |G|. CAUCHY THEOREM (FOR ABELIAN GROUPS): Suppose G is a finite abelian group and p/o(G) where p is a prime number, then there is a... ... = e. SYLOW’S THEOREM (FOR ABELIAN GROUPS): If G is an abelian group of finite order and if p is a prime number, such that p α / o(G), p α+1 / o... ...please refer [119, 120]. We briefly recollect some results about rings and fields and give more about S-rings and SNA-rings. DEFINITION 1.4.1: Let... ...number. Z 2 = {0, 1}, Z 3 = {0, 1, 2} and Z 7 = {0, 1, 2, 3, …, 6} are fields of characteristic 2, 3 and 7 respectively. Let F be a field, a prop... ...= I 1 or I 1 = {0}. Thus minimality may vary with the different related fields. Let R be a S- ring, M is said to be Smarandache maximal pseudo idea... ... has a proper subset which is a semifield. It is easily verified that all fields of characteristic zero are S-anti semifields. Now we proceed on t...

Excerpt Details
...emirings are algebraic structures with two binary operations enjoying several properties and it is the most generalized structure — for all rings and fields are semirings. The study of this concept is very meagre except for a very few research papers. Now, when we study the Smarandache semirings (S-semiring), we make the richer structure of semifield to be contained in an ...

Full Text Search Details
...algebra constructed using the power set P(X) where X = {a, b, c} which is a finite Smarandache semiring of order 16. This book can be ordered in... ...roups, groups and Smarandache semigroups 7 1.2 Lattices 11 1.3 Rings and fields 19 1.4 Vector spaces 22 1.5 Group rings and semigroup rings 25 ... ...ral properties and it is the most generalized structure — for all rings and fields are semirings. The study of this concept is very meagre except fo... ...e basic properties of semigroups, groups, lattices, Smarandache semigroups, fields, vector spaces, group rings and semigroup rings. We assume at the... ... a commutative semigroup. If the number of elements in the semigroup S is finite we say S is a finite semigroup or a semigroup of finite order, ot... ...ulo 9 with unit. Example 1.1.2: S = {0, 2, 4, 6, 8, 10} is a semigroup of finite order, under multiplication modulo 12. S has no unit but S is com... ...    ∈         = × 4 2 2 Z d , c , b , a d c b a S . S 2 ×2 is a finite non-commutative semigroup under matrix multiplication modulo 4, w... ...re ideals of Z 14. Example 1.1.9: Let X = {1, 2, 3, … , n} where n is a finite integer. Let S (n) denote the set of all maps from the set X to i... ...lean algebras are there with four elements 0, 1, a and b? 1.3 Rings and Fields In this section we mainly introduce the concept of ring and fie...

Full Text Search Details
...he Cartesian product of a set A with itself; A × A. Note that if the set A is a finite set having n elements, then the set A × A is also a finite se... ... the order of G and denote it by o(G).The number is most interesting when it is finite. In that case, we say that G is a finite group. 2.2 S... ...f G, is left for the reader as a problem. THEOREM 2.4.2: If H is a non-empty finite subset of group G and H is closed under multiplication, then ... ...collection of elements a, a 2 , ... , a m , ... must all fit into H, which is a finite subset of G. Thus there must be repetition in this collecti... ...lem for the reader to prove N(a) is a subgroup of G. THEOREM 2.4.6: If G is a finite group then C a = o(G) / o(N(a)); in other words, the number ... ...theory. In the past decade she has guided seven Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transpo...

Full Text Search Details
... 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...

Full Text Search Details
...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...

Full Text Search Details
...en are still treated as a yielding property in many parts of the world. They plough fields and do menial jobs very effectively. People "hedge their ... ...emininity" fluid concepts. One's sex equals one's bodily equipment, an objective, finite, and, usually, immutable inventory. But our endowments ca... ...s. This form of "reverse engineering" of scientific models is not unknown in other fields of science, nor is it unacceptable if the experiments mee... ...of the American Embassy in Israel (1978). Hundreds of professional articles in all fields of finances and the economy, and numerous articles dealin...

Full Text Search Details
... quantum theory, Smarandache quantum paradoxes, physical chemistry, particle-fields. 1. Introduction The author's motivating interest the past f... ... peer-review journal. The relativistic parameters (Section 3) and particle-fields model (Section 4) have been refined considerably since the earlie... ...e apparent in Section 4, this flexibility allows a new paradigm in particle-fields theory. 3.3 Time Dilation The time dilation factor in k' is def... ...odel which allows this condition is developed. 8. We assume proton charge fields are projected from the nucleus: in effect, the electrical and gra... ...is proposed the muon's deep penetration ability, (non-reactivity) in matter fields indicates it is a negative gravity particle ―with path tendency o... ...as length in G ⊥ K, and proportional to λ. This indicates a very large, but finite number of photons can be connected to a given κ (space-time) quant... ...rtainty in the possibility of a non-successful event indicates protons have finite lifetimes. Experiments have been conducted at Kamiokande, IMB an...

Excerpt Details
...An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic structures say a commutative ring with 1 ...

Full Text Search Details
... An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the con... ... down to the study of properties of vector spaces or linear algebras over fields. But study of non-associative algebras using loops, that is loop... ...e well versed with concepts in algebra we do not recall the definition of fields or rings. DEFINITION 1.1.1: A vector space or a linear space con... ...∈ V. Thus we see a vector space unlike the abstract structures rings or fields is a composite structure consisting of two algebraic structures cal... ...ds is a composite structure consisting of two algebraic structures called fields and vectors, which forms an additive abelian group. Here it is pert... ...sis, linear transformation, linear operator etc. We say a vector space is finite dimensional if there exists a finite set of linearly independent el... ...te V, otherwise it is infinite dimensional that is there does not exist a finite set of linearly independent elements in V which can span V. The ... ...Smarandache basis is really a new concept. DEFINITION 1.2.2: Let V be a finite dimensional vector space over a field K. Let B = {v 1 , v 2 , …, v ... ... by the very definition of these concepts. DEFINITION 1.2.3: Let V be a finite dimensional vector space over a field K. Let B = {v 1 , v 2 , …, ...

Description Details
...uo of existing mathematics. The genesis of Smarandache Notions, a field founded by Florentine Smarandache, is alike to that of Fuzzy Theory: both the fields imperatively questioned the dogmas of classical mathematics....

Full Text Search Details
...32 1.4 Fuzzy rings and its properties 39 1.5 Fuzzy birings 64 1.6 Fuzzy fields and their properties 79 1.7 Fuzzy semirings and their generalizatio... ...ed by Florentine Smarandache, is alike to that of Fuzzy Theory: both the fields imperatively questioned the dogmas of classical mathematics. Des... ...s, fuzzy subgroups, fuzzy sub- bigroups, fuzzy rings, fuzzy birings, fuzzy fields, fuzzy semirings, fuzzy near-rings, fuzzy vector spaces, fuzzy semi... ...our. Section five introduces the notions of fuzzy birings. Study of fuzzy fields is carried out in section six. Study of fuzzy semirings and their g... ...) = t 1 for all x ≠ e in G and t o > t 1 . THEOREM 1.2.9: Let G be a finite group of order n and A be a fuzzy subgroup of G. Let Im (A) = {t i ... ...l subgroups form a composition chain. THEOREM [16]: Suppose that G is a finite group and that G has a composition chain 〈e 〉 = A 0 ⊂ A 1 ⊂ …⊂ A ... ...o prove the above claim. THEOREM 1.2.12: Let µ be a fuzzy subgroup of a finite group G then o (µ ) | o(G). Proof: Let µ be a fuzzy subgroup of a... ...inite group G then o (µ ) | o(G). Proof: Let µ be a fuzzy subgroup of a finite group with e as its identity element. Clearly H = {} ) e ( ) x ( G ... ...es atleast in few cases. THEOREM 1.2.26: Let µ be a fuzzy subgroup of a finite group G and t ∈ [0, 1] then o( t P ) a ( G µ ) ≤ o( t G µ ) = o (a ...

Description Details
...ry in nature. The new concept of non-associative semi-linear algebras is introduced in chapter two. This structure is built using groupoids over semi-fields. Third chapter introduces the notion of non-associative linear algebras. These algebraic structures are built using the new class of loops. All these non-associative linear algebras are defined over the prime character...

Full Text Search Details
... in G such that a -1 a = aa -1 = e. A group, which contains only a finite number of elements, is called a finite group, otherwise it is terme... ...ite group, otherwise it is termed as an infinite group. By the order of a finite group we mean the number of elements in the group. 8 It may... ...rs modulo p. Z p \{0} is a group under multiplication modulo p. This is a finite cyclic group of order p-1. DEFINITION 1.1.2: Let G be a group. ... ...y G is simple. DEFINITION 1.1.7: A subnormal series of a group G is a finite sequence H 0 , H 1 , …, H n of subgroups of G such that H i is ... ...group of H i+1 with H 0 ={e} and H n = G. A normal series of G is a finite sequence H 0 , H 1 , … , H n of normal subgroups of G such that H... ...field of characteristic 7. 27 The student is expected to note that fields F have no nontrivial ideals. The only trivial ideals of F are {0} a... ...two sided ideals other than (0) and R. It is interesting to note that all fields are trivially simple rings. PROBLEMS: 1. Find all ideals of ... ...group S 3 over the ring Z 24 . How many proper subsets in Z 24 S 3 are fields? Is Z 24 S 3 , S-commutative? 9. Is Z 12 G where G = 〈g / g 12 = ... ...ent is a unit but every element in Z p is not a S-unit contrary to prime fields of characteristic 0. THEOREM 3.2.4: Let Q be the field of ration...

Full Text Search Details
...lication of Smarandache groupoids to semi automaton and automaton, that is to finite machines. The final chapter on research problems is the major at... ...his book aim is two fold, firstly to construct new classes of groupoids using finite integers and define in these new classes many properties which ... ... Integers We start this chapter with a brief discussion on the set of both finite and infinite integers. We mainly enumerate the properties, whic... ...6.2 ≡ 3 (mod 9). This notation will be used and Z n will denote the set of finite integers modulo n. 1.2 Groupoids In this section we reca... ...inct elements in it denoted by o(G) or |G|. If the number of elements in G is finite we say the groupoid G is of finite order or a finite groupoid o... ...eory. In the past decade she has guided seven Ph.D. scholars in the different fields of non-associative algebras, algebraic coding theory, transpor...

Full Text Search Details
...s not empty, it can be completely determined by a unique maximum solution and a finite number of minimal solutions [11, 34]. Since the solution set ... ... not empty, it can be completely determined by a unique maximum solution and a finite number of minimal solutions [11, 34]. The maximum solution ca... ... non-convex set that can be completely determined by one maximum solution and a finite number of minimal solutions. Since the solution set is non- c... ...d the determination of the minimal elements (if they exist) remain open in the finite case as well as in the infinite case. Here, we first show tha... ... n ) T are unknown) when its solution set is nonempty and b has an irredundant finite join- decomposition. By the way, we give the method to solve A... ... simple fuzzy control. Fuzzy logic control is one of the expanding application fields of fuzzy set theory. Recent applications of fuzzy logic contr... ...s we see the notion of fuzzy neutrosophic sets will certainty find its place in fields like giving judgment on some criminal cases, in medicine, and... ...sophic equivalence relation, 255 Neutrosophic equivalent, 255-256 Neutrosophic fields, 244 Neutrosophic function, 240, 242-243 Neutrosophic lattic... ...theory. In the past decade she has guided eight Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transpo...

Full Text Search Details
................... 91 Understanding the Difference between the Infinite and the Finite...................................................... 99 The Di... ...r One: The Universe 3 The fact is; our Universe actually does not have any finite end to it. It also does not have a finite beginning to it. We... ...ittle fleas have lesser fleas, and so on, ad infinitum’ What if there was a finite limit to how small energy particles could be…? What if they co... ...further into smaller energy particles? If the smallest energy particles were finite in size: A finite limit to their smallness The Path of Splitne... ...The Path of Splitness Chapter One: The Universe 4 means that the smallest finite energy particles would all have to be exactly the same size; si... ...lex mathematical equations, not into a religious dogma. This chapter unifies fields of scientific knowledge and religious ideas of intelligent desi... ...n order to make sense out of scientific data and information: the specialized Fields of Science must be interconnected with each other. Until Scienc... ...ack and field’. Recreating the time when we were tracked by killers over open fields that had no trees we could climb to safety. Their pelvic bon... ...peer example we copied and learned before we ever walked out onto the killing fields of the Serengeti Plain? It was the leopard, who taught us first....

Full Text Search Details
...ng the hidden pattern are discussed in the section 1.2. DEFINITION 1.1.12: Finite number of FCMs can be combined together to produce the joint ef... ...random samples be independent, identically distributed random variables with finite variance. Independence models each experts individually. Identi... ...peated till we get a limit cycle or a fixed point. 22 DEFINITION 1.3.11: Finite number of FRMs can be combined together to produce the joint ef... ... just recall the notion of neutrosophic concepts. In this book we assume all fields to be real fields of characteristic 0 all vector spaces are tak... ...d for Q(I) ⊂ R (I). 26 It is very important to note that all neutrosophic fields used in this book are of characteristic zero. Likewise we can ... ...is repeated till we get a limit cycle or a fixed point. DEFINITION 1.5.10: Finite number of NCMs can be combined together to produce the joint ef... ...is repeated till we get a limit cycle or a fixed point. DEFINITION 1.6.12: Finite number of NRMs can be combined together to produce the joint ef... ...as heads of most institutions of importance and higher learning 4. Certain fields of education are unapproachable for Dalits and Sudras 5. Diffe... ... posts and hence oppress Dalits and Sudras. Brahmins grossly dominate certain fields, so it is unapproachable for the oppressed sections of society....

Full Text Search Details
...Self and the Cosmic Self also reveals the secret of how we can go from the finite reality of this universe and of everything that 13 is mortal, to... ...ore from less, immortality from mortality, infinity from what is naturally finite. This happens because it has been able to transform both the I’s e... ...t traumas and most terrible conflicts so we can transform them into energy fields that are indispensable in creating secondary beauty. However, i... ... can they dissolve the ability it has to produce new transformative energy fields in whoever sees it, hears it or experiences it. Immortality is the...

Description Details
... and have generalized Qiao-Xing Li’s and Xing-Sen Li’s definitions of the Location Value of a Point and the Dependent Function of a Point on a Single Finite Interval from one dimension (1D) to 2D, 3D, and in general n-D spaces. Then I used the Extenics, together with Victor Vlădăreanu, Mihai Liviu Smarandache, Tudor Păroiu, and Ştefan Vlăduţescu, in 2D and 3D spaces in tec...

Table of Contents Details
..., and generally to n-D-Space, by Florentin Smarandache: 52 4. Generalizations in Extenics of the Location Value and Dependent Function from A Single Finite Interval to 2D, 3D, and n-D Spaces, by Florentin Smarandache, Mihai Liviu Smarandache: 60 5. Extention Transformation Used in I Ching, by Florentin Smarandache: 69 6. Extenics in Conventional and Nonconventional [Rom...

Description Details
...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....

Table of Contents Details
.... . . . . . . . 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 ...

Full Text Search Details
...numbers and classes of infinitesimal numbers. Let’s consider the non-standard finite numbers 1 + = 1+ &, where “1” is its standard part and “ &” it... ... a < a and b + > b. No order between – c + and c. Addition of non-standard finite numbers with themselves or with real numbers: - a + b =... ...ly for subtraction, multiplication, division, roots, and powers of non-standard finite numbers with themselves or with real numbers. By extension l... ... may be any real sub-unitary subsets: discrete or continuous; single-element, finite, or (countably or uncountably) infinite; union or intersection... ...(1) A2: (Unity) Any sure event (the sample space) has probability one (2) A3: (Finite additivity) If are disjoint events, then (3) A4: (countable ad... ...non-Aristotelian logic. We have examined a number of connections between these fields and can conclude that a new form of paraconsistent logic (Neut... ...he difficulties however, we subsume here in our generalisation many specialist fields which all have their own share of difficulties and controversie...

Full Text Search Details
...ed end. This is a strange assertion: is a movie rendered meaningless because of its finiteness? Some things acquire a meaning precisely because they... ...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 mutuall... ...quantum mechanics) is the one that is trying to reintroduce it now. The notion of "fields" is manifestly continuous (the field exists everywhere, s... ...resentations") of intelligent and conscious entities - of "organic originals" - are finite. The organic originals are infinite in their potential to... ...t, is still thinkable. But what about an entity that is "pure energy", a matrix of fields, a thought, immaterial yet very real, omnipresent and pre...

Full Text Search Details
...troduce this concept we have introduced neutrosophic graphs, neutrosophic fields, neutrosophic matrices and neutrosophic vector spaces. We provide m... ... pattern are discussed in the following Section 1.2. DEFINITION 1.1.12: Finite number of FCMs can be combined together to produce the joint effect... ...ndom samples be independent identically distributed random variables with finite variance. Independence models each experts individually. Identical ... ... DEFINITION [78]: A FTCM is a directed graph G = (X, E) consisting of a finite set X of N nodes, X = {i} N i=1 , and a set E of edges (or arcs) e ... ...time lags on not continuous but discrete space. The t ij is a value in a finite set Ω of M-many values Ω = M 1 t } t { = . For example, if the time... ...prepare base for effective psychotherapy. Any patient can distinguish a finite number of moods. According to his verbal description we can constru... ...n section two, we, for the first time, define the concept of neutrosophic fields, neutrosophic matrices and two types of neutrosophic vector spaces.... ...on we define some new neutrosophic algebraic structures like neutrosophic fields, neutrosophic spaces and neutrosophic matrices and illustrate them ... ... then we denote it as indeterminacy. Further in this book we assume all fields to be real fields of characteristic 0 all vector spaces are taken a...

Full Text Search Details
...it is, revolves around the Malthusian concept of scarcity. Our infinite wants, the finiteness of our resources and the bad job we too often make of... ...ffluent societies". This is because, fortunately, the number of people on Earth is finite - and manageable - while most resources can either be rep... ...ew technologies is infinite - and the resources of oligopolies, however mighty, are finite. The market is stronger than any of its participants, re... ..."law of large numbers" - that in a sufficiently large population, every event has a finite and knowable probability. None of them can or will insure... ...risk smoothing". Risks, by nature, are "punctuated" - stochastic and catastrophic. Finite insurance involves long term, fixed premium, contracts be... ...ecialisation - with little or no cross- communication between experts in different fields ... ... Maturing technology can quickly become de-skilled... ...nce is complex and ill-understood. Some technological advances spawn new scientific fields - the steel industry gave birth to metallurgy, computers ... ... XX century. Apart from his great contributions to mathematics, computing and other fields, the minor fact that he was deeply interested in Goethe´s... ...old historians called: the "short time" and the "long time"). To combine these two fields is the mark of the cultivated future man. As Goethe beaut...

Full Text Search Details
...s: 1. Authority - Works of reference are authored by experts in their fields and peer-reviewed. This ensures both objectivity and accuracy. ... ... is embedded) remains uncluttered. ONIX 2.0 may contain standard metadata fields and extensions specific to e-publishing and e-books. This latter fe... ...books are most important and useful for undergraduate coursework in these fields. Digital copyrights were negotiated with the publishers or author o... ...ecifically excludes titles in the natural sciences, technical and medical fields. We have a strong focus on “collection development” so that we can ... ...ssive bibliographies, and written by the best scholars in their respective fields. The Britannica, too, come bundled with an atlas (less detailed th... ...an-calculators, to use Turing's unfortunate phrases). The emphasis was on finiteness: a finite number of instructions, a finite number of symbols in ... ...number of instructions, a finite number of symbols in each instruction, a finite number of steps to the result. This is why these methods were usabl... ... proven, provable propositions and of theorems. This is a reminder of our finiteness and to say otherwise would, surely, be intellectual vanity. E... ... organic originals (hereinunder referred to as ; "organic originals") are finite. The organic originals are infinite in their possibilities to create...

Full Text Search Details
...our mares, white as gulls. I wish I could hear their whinnying across the fields, as they race toward me. Warriors brag about their fearless horses ... ...’s Home Elul 10 he sun is setting. The evening is very warm. Across the fields I hear children’s voices as they play. This evening I have been r... ...ficult to return to Jerusalem, leave my friends. I lingered a day for the fields of barley, the paths that were peaceful paths. I had to have time to... ... me like a seed, but a perpetual seed. Following a path across flowering fields I picked flowers; then, across the field, I saw Mary Magdalene. She... ...s olives; it was well after sunset and we felt the quiet of the extensive fields that make Peter’s home a retreat. Matthew, picking at his supper, ... ... these are links in the endless chain stretching from the infinite to the finite. Probably it is to be my lot to go on in a twilight, feeling and re...

Full Text Search Details
...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 ...

Description Details
...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...

Full Text Search Details
...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...

Description Details
.... 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...

Excerpt Details
...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 ...

Table of Contents Details
... . . . 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....

Description Details
...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...