...e space. We further assume no intermediate relation exists within the domain elements or node and the range space elements. The number of elements ... ... of elements in the range space need not in general be equal to the number of elements in the domain space. Thus throughout this section we assume t... ...mediate relations exist within the domain and the range spaces. The number of elements or nodes in the range space need not be equal to the number o... ...lements or nodes in the domain space. Throughout this section we assume the elements of a domain space are taken from the neutrosophic vector spac... ...erval [0, 1] as in IFS. e) NS, like dialetheism, can describe paradoxist elements, NS(paradoxist element) = (1, I, 1), while IFL can not descri... ...eory, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, six Ph.D. schola...

...dresses the very real problems that are forcing change, while preserving the elements we hold most dear. The Rise and Stall of the Generative Net 9 T... ...ers expansion, which is followed by boundary, one that grows out of the very elements that make that layer appeal- ing. The Internet flourished by begi... ...ged in a “juvenile act” that was “selfish and inconsiderate.” 18 It re- buked elements of the media that had branded Morris a hero for exposing securi... ...d and varied audiences. Terms like “openness” and “free” and “commons” evoke elements of it, but they do not fully capture its meaning, and they somet... ...’s chemistry set, adaptable and exceptionally leverag- ing. It would contain chemicals that could accomplish a variety of tasks, with small quantities... ...ow to use it. But such genera- tivity would have a manifest downside risk: a chemical accident could be dan- gerous to the child or even to the entire... ...l-All program, which would outfit cell phones with sensors for biological and chemical weapons and report “hits” to a central database. See Mimi Hall, ...

...he space−time. 4.The fundamental law governing spatio-temporality and its elements is the permanent and stochastic motion. 5.The stochastic* (Brown... ...he brlliant anticipations of Martin Heidegger, religion has more and more elements characteristic of a scientific discipline; the real problem that ... ...eality, being able to communicate with ″living″ (materially split-in-two) elements, to the extent of their being affectively apt to this process. In ... ... although its material component already undergoes the natural process of chemical decomposition. The ghosts′ stay for a longer while within the mat... ...ing of the universal rationality) the supposed perfection. The disturbing elements are not the expression of the divine will, but the consequence of... ...ainment, upon the natural conclusion of the material life, the body being chemically decomposed and the soul being dissociated into the constituent ... ...as entertainment, beyond this level being in jeopardy to become dangerous elements of mystification and interested manipulation of reality. Assuming... ...ined by the appearance and disappearance of sensations. Genetic birth and chemical decomposition of the body are elements defining very clearly the ... ...ng the dissociation of the soul from the body, on the onset of the body′s chemical decomposition and on of the soul′s monadic dissociation. It means...

...e traditional defini­ tion of them is: Code: "A substitution cryptosystem in which the plaintext elements are primarily words, phrases, or sentences, ... ...locic clouary baa defiDed a code in terms of the meaning-or meaningfulneu-oftheUDderl~ingteztual elements. I wouldn't push the diatinction too far-it ... ...n old-fashioned mimlg device is a bank of magnet-actuated relays that open and close to form the elements of teletypewriter characters being processed... ...• • • • • • '. • • • • • • • • • CONFIBBNTIAt. te) 8PSEC is slowly beiDa iDstitutiooaUzed. OPSEC elements llJC establisMd in the JCS and at most Unifi... ...inefrective. Notbins brouBht tbis home more persuasively tban the Vietnam experience. MonitoriDl elements of all four Services demonstrated the vulner... ...ss. The trouble was tbat there was no other Government Apncypre~ to accept such a role. The Army Chemical Corps bad provided the orilinal pyrotcebDic ... ... on. One such CIIe iD'OMd In OpeJ8tional T.S. key lilt beJna examined for latent prints in In S2 chemical lab. When the cloculDCllt W8I placed on a be...

...nd services, might also promote societal welfare in the process. As an example, a chemical firm selling fluorides to the municipal water company mar... ...el, discussed in that light in Chapter 7, where advocates are described as channel elements. Fundraising Fundraising is another transactional type... ...ce. To be sure, many individuals might be quite familiar with these marketing-mix elements without being aware of the "four Ps" appellation. Noneth... ...the formal structural aspects of the flow of ideas, group life and its constituent elements represent the process whereby that structure is brought ... ...ons performing useful functions. As in the case of ordinary products, the channel elements acting in concert make up a team for optimal delivery of... ...e think of in business marketing (Novelli 1980b). For the most part intermediary elements of distribution channels for ideas are the media through ...

...ty of Agricultural Sciences and Italy's University of Cagliari discovered that the chemicals emitted by the flower - three types of oligosulphides ... ...ifically. Latent prints lifted off crime scenes with the application of special chemicals or ultraviolet light are often incomplete or indistinc... ...the first known case, in 1941, a Norwegian woman spoke in a German accent. All the elements of pronunciation shift - pacing, rhythm, intonation, an... ... Technology published study according to which 1.6 kilograms of fuel, 72 grams of chemicals and 32 kilograms of water are consumed in the manufact... ...utilizes 160 times the amount of energy needed to make mere silicon. Thousands of chemicals are used in the process, some of them highly toxic. ... ...tp://mintaka.sdsu.edu/GF/mirages/mirintro.html http://www.islandnet.com/~see/weather/elements/mirage1.htm Miss America Mary Katherine Campbell, the o... ... When the food is high energy, we taste it as sweet. When the food contains certain chemicals it tastes salty. Heated food releases more molecule...

...s clear that we do not acquire the hardware (neurones) and software (electrical and chemical pathways) we are born with. But it is equally clear tha... ...acquire" both brain mass and the contents of our brains (its wiring or irreversible chemical changes) through learning and experience. Does this pro... ... a partial parallel, at best: the computer and word processing software are passive elements. It is my brain that does the authoring. And so, the my... ...by definition, a part of Nature. His tools are natural. He interacts with the other elements of Nature and modifies it - but so do all other species... ... completely lack organisation. Yet, structure and organization are mere language elements. They are “in our head” so to speak. They do not exist ... ...e range of planetary habitability is much larger than thought. But whatever their chemical composition, most Alien species are likely to be sentie...

... 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 set, but has n 2 elem... ...nts, then the set A × A is also a finite set, but has n 2 elements. The set of elements (a, a) in A × A is called the 8 diagonal of A × A. A s... ...bout subsets of A × A we can now speak about a binary relation (one between two elements of A) on A itself, by defining b to be related to a if (a, ... ...chapters of this book. The example deals with nothing but mapping of a set of n elements to itself. Example 1.2.1: Let (1, 2, 3) be the set S. Le... ...he set S. Let S(3) denote the set of all mappings of S to itself. The number of elements in S(3) is 27 = 3 3 . 10 Example 1.2.2: Let S = (1, 2... ...theory, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, five Ph.D. sch...

...belian 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 said to be of in... ...G is said to be of infinite order. If a b ≠ b a, for atleast a pair of elements a, b ∈ G, then we call G a non-commutative group. Notation: Let... ...up of G then o(H) is a divisor of o(G). Note: o(G) means the number of elements in G it will also be denoted by |G|. CAUCHY THEOREM (FOR ABELIA... ...ontain any non-trivial normal subloop. DEFINITION 1.1.4: If x and y are elements of a loop L, the commutator (x, y) is defined by xy = (yx) (x, y)... ... 〉 denotes the subloop generated by A. DEFINITION 1.1.5: If x, y, z are elements of a loop L an associator (x, y, z) is defined by (xy)z = (x(yz))... ..., fuzzy groups, and applications of fuzzy theory to the problems faced in chemical industries and cement industries. Currently, six Ph.D. scholars a...

...omparative validity of conflicting statements in terms of their paradoxical elements. In fact, given the above broad definitions, it appears the sci... ... on a subjective value system, so that comparative methodology has inherent elements of uncertainty, i.e. characteristics of neutrosophy. [31] [36] ... ...ical characteristics in set {A} ∋ { a 1 , a 2 , a 3 ,…a n }, is composed of elements, {S} ∋ {s 1 + s 2 + s 3 +...+ s n }, having physical characte... ... variance with modern theory ―particularly in regard to the SQP paradoxical elements. Thus, the Smarandache quantum paradox set should provides an e... ...um distance ―the corners of the nuclear cube. 11. This indicates the noble elements, (Column 8A, Periodic Table), should possess perfect nuclear cu... ...charge field domains. For example, the exothermic or endothermic nature of chemical reactions indicates considerable energy stored in molecular bon... ...1994. [25] ibid., p. 169. [26] ibid., p. 74. [27] Masterton, Slowinski; CHEMICAL PRINCIPLES, Fourth Edition., Figure 6.14 Ionization energies of ...

...nal products 164 Chapter Two SOME APPLICATIONS OF FRE 2.1 Use of FRE in Chemical Engineering 167 2.2 New FRE to estimate the peak hours o... ... motor-drive system 197 2.10 Application of genetic algorithm to problems in chemical industries 199 2.11 Semantics of implication operators ... ... has 10 sections: we elaborately give the applications of FRE in flow rates in chemical industry problems, preference and determination of peak hou... ...m X to Y, binary relations R(X, Y) may assign to each element of X two or more elements of Y. Some basic operations on functions such as the invers... ...n that each element of Y has to an element of X is equal to the degree of that elements membership in the range of R. In addition, the height of a ... ...responding to one set is distinguished from nodes representing the other set. Elements of X × Y with non-zero membership grades in R(X, Y) are rep... ... ik ] ° [q kj ] where r ij = k max min (p ik q kj ). Observe that the same elements of P and Q are used in the calculation of R as would be use... ... give several of the applications of fuzzy relational equations in studies like chemical engineering, transportation, medicine etc. The fuzzy relati... ... applied to special problem. [81, 85, 100-101,111, 114] 2.1 Use of FRE in chemical engineering The use of fuzzy relational equations (FRE) f...

...true, or not? Preface The Basic Elements of Human Understanding are: ... ... Perspective Putting these elements together creates a larger context of awareness which result i... .... What is the Sense of Wonder? The Sense of Wonder blends all the Basic Elements of Understanding together. Without the Sense of Wonder: we co... ...diversity. This infinite diversity comes from infinite permutations of basic elements and structures and designs never repeating themselves exactly ... ...c can and does happen at the Atomic Weight of 13… which is why in many other chemical processes: the next 12-Totality is actually counted from 14, t... ...autiful because all of the supposedly random atoms and molecules and DNA, and chemical and atomic and physical reactions and actions are not random a... ...d Why Life Emerged The basic dynamic balance which produced all the subtle chemical changes in the Earth's atmosphere and surface comes from its ... ... THE PATH OF SPLITNESS Chapter Two: Life 125 125 balanced state, that chemical processes could become dynamically active on the diluted level... ...is. Connection always happens first: Separation always happens second. The chemical makeup of DNA is yet another example of increasingly dynamic, ...

...l impact of trauma, abuse, upbringing, role models, peers, and other environmental elements. Nor is the distinction between psychotropic substances... ...e of all branches of human knowledge. No one has ever seen a quark, or untangled a chemical bond, or surfed an electromagnetic wave, or visited the... ...r applications, mind) is done through "framework applications" which match the two elements structurally and functionally. The equivalent in the br... ...c concept of the workings of the brain must be the comparison of "representational elements" to "models of the world". Thus, a coherent picture is ... ...always employ the tripartite structure (Id, Ego, Superego). But these are language elements and need not be confused with the plots. Each client, e... ...uld satisfy most of the same conditions. But the equation is flawed. The important elements of testability, verifiability, refutability, falsifiabi... ...ists. But we live at an age when mental disorders are thought to have physiological-chemical-genetic origins. All psychological theories and talk th... ...fantasy, imagination, and emotions are nothing but electric currents and spurts of chemicals in the brain, they say. Holists, on the other hand, re... ...nd understanding. The properties of water, for instance, do spring forth from its chemical and physical composition and from the interactions betw...

... loop-rings and introduction to Smarandache loop-rings 20 2.3 Smarandache elements in loop rings 30 2.4 Smarandache substructures in loop rings 40 ... ... Groupoid rings and Smarandache Groupoid rings 61 3.3 Smarandache special elements in Groupoid rings 69 3.4 Smarandache substructures in Groupoid ri... ...pace consists of the following: 1. a field K of scalars. 2. a set V of elements called vectors. 3. a rule or operation called vector addition whi... ...ly it is a vector quantity, only to mention that it is different from the elements of the field which are termed as scalars. 8 DEFINITION 1.1.2... ...s finite dimensional if there exists a finite set of linearly independent elements (v 1 , v 2 , …, v n ) in V which generate V, otherwise it is infi... ..., fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, five Ph.D. scholars a...

...ngs and its properties 2.1 Definition and examples 21 2.2 Special elements in rings 24 2.3 Substructures of a ring 26 2.4 Homomorph... .... and S. D.C.C. 67 3.8 Some special types of rings 68 3.9 Special elements in S-rings 71 3.10 Special properties about S-rings 78 ... ... 115 4.2 Smarandache rings of level II 119 4.3 Some new Smarandache elements and their properties 121 4.4 New Smarandache substructures and th... ... a -1 a = aa -1 = e. A group, which contains only a finite number of elements, is called a finite group, otherwise it is termed as an infinite ... ...s an infinite group. By the order of a finite group we mean the number of elements in the group. 8 It may happen that a group G consists enti... ..., fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, five Ph.D. scholars ...

...n P by declaring a ∗ b = c if σ (a, b) = c. DEFINITION: A non empty set of elements G is said to form a groupoid if in G is defined a binary oper... ...all a ∈ G. We call the order of the groupoid G to be the number of distinct elements in it denoted by o(G) or |G|. If the number of elements in G ... ...order of this groupoid is 5. Example 1.2.2: Let (S, ∗) be a groupoid with 3 elements given by the following table: ∗ x 1 x 2 x 3 x 1 x 1 x... ... commutative semigroup. DEFINITION: Let S be a semigroup, if the number of elements in a semigroup is finite we say the semigroup S is of finite ... ...= {0, 1}} is a semigroup under matrix multiplication. PROBLEM 9: How many elements are there in S 3×3 given in example 1.3.6.? PROBLEM 10: Ca... ...eory, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, five Ph.D. schola...

...3 2 1 Clearly µ is a fuzzy subgroup of a group G and o(µ ) = number of elements of the set {x ∈ G | µ (x) = µ (e)} = number of elements of the se... ... [0, min{µ 1 (e 1 ), µ 2 (e 2 )}] where e 1 and e 2 denote the identity elements of the groups G 1 and G 2 respectively. Then t 1 t 2 t 1 2 G G... ...R µ , the ring of fuzzy cosets of µ in R is free from non-zero nilpotent elements. THEOREM 1.4.23: Let µ be any fuzzy ideal of a ring R such that... ... that Im µ = {t, s} with t > s. If the ring R µ has no non-zero nilpotent elements, then the fuzzy ideal µ is fuzzy semiprime. THEOREM [99]: A ri... ... If P : R → L is a prime fuzzy ideal and P P (0) ≠ 0, then P (R) has two elements. P is properly fuzzy if and only if P(R) has three elements. We s... ...Rings and Ideals, Addison-Wesley, Reading, MA, 1970. 30. CHAUVIN, Remi, Chemical Algebra I: Fuzzy subgroups, J. Math. Chemistry, 16, 245-256 (1994... ..., fuzzy groups, and applications of fuzzy theory to the problems faced in chemical industries and cement industries. Currently, six Ph.D. scholars a...

...e result of the realpolitik of terrorism is the collaboration with the less savoury elements of society. Relegated to the fringes by the inexorable... ...tamboliyski tried to appease Yugoslavia and, in the process, sacrifice inconvenient elements, such as the IMRO, as expediently as he could. He made ... ...e that at least several hundred thousand people have been killed. The irresponsible elements have committed such atrocities that could be expected o... ... dubious sources). The situation was further compounded by the invasion of criminal elements from Albania proper. The Kosovar crime clans were effec... ...he psychological makeup of the nation (especially the more rightwing and religious elements) because it constitutes "Narcissistic Supply". Bin Lad... ...e of all branches of human knowledge. No one has ever seen a quark, or untangled a chemical bond, or surfed an electromagnetic wave, or visited th...

... years, other of my articles on the new engineering have been published in British Chemical Engineering, in Mechanical Engineering, and in ASME Jour... ...is that the number of terms in Eq. (7-15) increases as the number of heat transfer elements is increased. ... ...oncerns the determination of heat flux and temperature profile. All heat transfer elements in the problem exhibit proportional behavior, and theref... ...ls with heat transfer systems in a simple and direct manner, even if they contain elements that exhibit the highly nonlinear behavior that can resul... ...oneous conclusion, Fourier states: If we did not make a complete analysis of the elements of the problem, we should obtain an equation not homogen... ...n Rauhen Rohren , V.D.I. Forschungsheft 361, Berlin, pp 1-22 Perry, J.H., 1950, Chemical Engineers Handbook , p 474, McGraw-Hill Pigott, R.J.S...

...concepts. We further assume no intermediate relation exists within the domain elements or node and the range spaces elements. The number of elements... ...of elements in the range space need not in general be equal to the number of elements in the domain space. Thus throughout this section we assume t... ...mediate relations exist within the domain and the range spaces. The number of elements or 37 nodes in the range space need not be equal to the num... ...elements or 37 nodes in the range space need not be equal to the number of elements or nodes in the domain space. Throughout this section we assu... ... elements or nodes in the domain space. Throughout this section we assume the elements of a domain space are taken from the neutrosophic vector spac... ...eory, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, six Ph.D. schola...

... say identical) to the destruction of a painting by Van Gogh, made up of these very elements. Paints and cloth are converted to a painting through t... ...s himself. This second layer of anger also comprises strong and easily identifiable elements of frustration, irritation and annoyance. While normal... ...he psychological makeup of the nation (especially the more rightwing and religious elements) because it constitutes "Narcissistic Supply". The Jew... ...cable. People - in the very far future - may be able to harbour the same emotions, chemically or otherwise induced in them. One brain could directl... ...ranspired in the artist's mind. We are faced with a dichotomy: The epistemological elements in the artistic process belong exclusively and incommun... ...mpairment is flawed ... using this ill-substantiated cause- and-effect to tell the 'chemical generation' that they are brain damaged when they are n... ...parameters when faced with danger. We could reasonably expect them to change their chemical reactions, the compounds that they contain, other elect... ...ied realm(=set of terms). People are trying to define life or love by resorting to chemical reactions. This reductionism inevitably and invariably ... ...ue that a definition must include all the necessary conditions to the definiendum. Chemical reactions are a necessary condition to life. But they a...

...s the level of service and the convenience factors. We have the following elements, Frequency of the service, in-vehicle travel time, the travel far... ...behaviour of a model are determined by activating the individual involved elements. This is achieved by ‘Clamping’ concepts of interest and includin... ...done by fixing the corresponding element in the input and the rest of the elements are given a value zero. Thus we have the input vector as a 1 × n ... ... effective strategic planning support with object- oriented expert systems elements and a hyperknowledge user interface. In this paper Carlsson and F... ...onversion link (black arrow, shown as a dotted line), a node (typically a chemical(s)) is converted into another node, and used up in the process. In... ... (blue arrows, shown as a thick line) represents an enzyme that enables a chemical conversion and does not get used up in the process. For figures pl... ...ustrial sectors. As an example a particular model may be suitable for the chemical industry but appropriate to service industry. 4. Models as desc... ...due to industries and in particular the problems faced by workers of some chemical industries and so on. Now we proceed on to define the notion of... ...lved in the inter-relations of concepts. 22. Can NRM be used to model a chemical plant? Justify your claim. 23. When the data is unsupervised wh...

...tensor feld, we obtain the d’Alembert equations of the feld. The non- zero elements are the d’Alembert equations containing the feld-inducing sources.... ...re the d’Alembert equations containing the feld-inducing sources. The zero elements are the equations without the sources. If there are no sources the... ...er” comes from [ME<OE, akin to Gr. an-, a-, Latin in-, and to the negative elements in no, not, nor] and [ME mati` ere< OFr< Latin material] matter (s... ...ntiproton (we can call it un-deuterium of type 2). Or maybe choose another chemical element for which any of the previous conversions/transformations ... ...uation is like the “light cone” equation c 2 dτ 2 −dσ 2 =0 (dσ =0, dτ =0), elements of which are world-trajectories of light-like particles. But, in c... ...vable quantities. So teleporting photons move along trajectories which are elements of the world-cone (like the light cone) in that space-time area wh...

...y do not copy the intellectual property as it is. Rather, they add to it important elements of adaptation to niche markets, image creation, market ... ... the incorporation of gross inaccuracies into the model and the ignorance of other elements. The surprise is that the approximation yields results,... ...onjunction). 2. Content – This incorporates both ontological and epistemological elements. In other words: both "hard" data, which should, in pri... ...xt and constantly interacts with it. Additionally, its various modules and content elements consistently and constantly interact with each other. A... ...h giver and taker. History shows that all effective programs shared these common elements: a. The persecution of corrupt, high-profile, public f... ...ed realm (=set of terms). People are trying to define life or love by resorting to chemical reactions. This reductionism inevitably and invariably ... ...ue that a definition must include all the necessary conditions to the definiendum. Chemical reactions are a necessary condition to life. But they a... ...of software games with the best techno-artists he found. He also bought the biggest chemical/genetic corporation: SupremArtis(TM). Finally he merged...

..."Namespace Dictionary" is to be published. It will encompass 800 metadata elements and will tackle e-books, journals, audio, and video. A working gr... ...y revised based on input from members of the public. It combines the best elements of the Wikipedia (feedback- driven evolution) with none of its def... ...nd almost indistinguishable from the Usenet archive itself. Without these elements - structural as well as dynamic - there will be no archive and no... ...n-demand, print-on-demand, and even the creation of physical 3D prototype elements at a distance from insubstantial CAD files), business is changing... .... On the other hand, use a technology to significantly improve the right elements of a product or service, or its price, and stand back. 9. Wh... ... (=set of terms). People are trying to define life or love by resorting to chemical reactions. This reductionism inevitably and invariably leads to t... ... definition must include all the necessary conditions to the definiendum. Chemical reactions are a necessary condition to life. But they are not suf... ...e games with the best techno-artists he found. He also bought the biggest chemical/genetic corporation: SupremArtis(TM). Finally he merged all them ...