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...by default of notation just say V a vector space over the field F and call elements of V as vectors only as matter of convenience for the vectors in... ... dimensional vector space) of k if every S- basis has only finite number of elements in it. It is interesting to note that if L is a finite dimension... ...We say the order of the bigroup G = G 1 ∪ G 2 is finite if the number of elements in them is finite; otherwise we say the bigroup G to be of infin... ...ace V = V 1 ∪ V 2 to be of dimension m + n. Thus there exists only m + n elements which are linearly independent and has the capacity to generate... ...0) if v ∈ V 2 then v = (0, 0, …, 0, y 1 , y 2 , …, y n ). We never add elements of V 1 and V 2 . We keep them separately as no operation may be... ...y, fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, six Ph.D. scholars ...

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...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...

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...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...

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...n by artificial brains. Neural networks consists of many simple computing elements generally simple non linear summing junctions connected together ... ... classes say C 1 , C 2 , …, C t where C i may have different number of elements in them, where even n can be a prime number then we call such str... ...int cognitive maps here only the blocks need not contain equal number of elements. We illustrate as well as exhibit these models in the study of ... ...he attributes A 1 , 176 A 2 …, A n in to m classes with a overlap of s elements ie A 1 , A 2 ,…, A n is divided into classes C 1 ,…, C m where ... ... 2 ,…, A n is divided into classes C 1 ,…, C m where we have number of elements in each C i is s where there are common elements between the C i... ..., fuzzy groups, and applications of fuzzy theory of the problems faced in chemical industries and cement industries. Currently, six Ph.D. scholars a...

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...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...

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...tion of the World Criminal Court - but also its facilities to the inspectors of the Chemical Weapons Convention, its military to the sanctions of th... ...nterested simply in the national interest of Pakistan, which consists of four main elements: security against the hostile strong neighbors India an... ...the war against terrorism, recasting internal oppression and meddling abroad as its elements. As Vladimir Lukin, deputy speaker of the Duma observed... ...negotiating $40-60 billion worth of cooperation agreements in the oil, agriculture, chemical products, pharmaceuticals, fertilizers, irrigation, tra... ...g - and expensive - effort to reinstate the country's capacity to produce nuclear, chemical, and biological armaments. According to Stratfor, "Iraq... ...actured goods, foodstuffs and grain, while Israel's main export items to Turkey are chemical products, plastics, computers and irrigation and teleco...

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...he. Treat "per cent." and the metric symbols as abbreviations, but not the chemical symbols, nor " format " of books : Macmillan & Co., Mr. Smith, ... ...pace) ; Journal of Geology, 12 mm. Astro- physical Journal uses italics for chemical symbols: Fe. But do mt use period, in technical matter, after t... ...r more compound words occurring together, which have one of their component elements in common, this element is frequently omitted from all but the... ...es of : capitalization of prin- apd wolds m, 37; to be roman- quoted, 71. Chemical symbols, how to treat, 110. Chdstian names, to be spelled out, ... ...7. Complementary clauses, use of dashes in mnnection with, 153. Component elements, omission of, in com- pound words, 194. Compound adjectives, 1... ... of subdivisions m, 160. Syllables, hyphen used to indicate, 196. Symbols: chemical, treatment of, 110: metrie, spacing of, 150; treatment of, 101...

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...universes could not exist that have life forms based on other physical and chemical laws that we are unfamiliar with. We do know that the life of a ... ... the pain and anguish that has possessed them since intrauterine life into elements that fecundate the transformation of a life without meaning into ...

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..."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 ...

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...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 ...

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... g μμ ∈(M g ,g g ), not by foisting upon (M g ,g g ) the interpretation of elements of (M s ,g s ) in the misguided fashion of the orthodox relativist... ...was located inside a box isolated from air convection and light radiation. Chemical reactions of the opposite directions, processes of crystallization... ... ˉQ(Λ) ! , (3.19) where Q(Λ) and ˉQ(Λ) are three-dimensional matrices, the elements of which are complex conjugates, ε is the three- dimensional unit ... ...he 2nd degenerate kind by Petrov’s classifcation . In emptiness (κ=0) some elements of the matrices x and y take the numerical values +1 and −1 thereb... ...5.25) where the three-dimensional matricesx,y,z are built on the following elements, respectively x ik =− 1 c 2 X ik , z ik = 1 c 2 ε imn ε kpq Z mn... ...itter hyperboloids to r=1, because this is the only choice for r where all elements in the bounded domains are also coset representatives, and therefo...

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...y Governor of the European Central Bank), attributed this success to four elements: Improving state finances Pruning social security and other be... ...former Dutch minister for foreign trade), attributed this success to four elements: 1. Improving state finances 2. Pruning social security and oth... ...tional bellwether role to IG BCE, the more nimble union of workers in the chemical and energy sectors. This much smaller new union signed the first ... ...ich is new - personal capitalistic incentives - far outweighs all the old elements. Incentive driven initiative is likely to bring in its wake and t...

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... of racial cleansing went on. Styles were adapted but were cleansed of those elements thought inappropriate for a larger white audience. Generally, th... ...ping,” expanding from coverage of a single song or melody to cover essential elements of genre, style, and theme. In effect, we needed to apply the Je... ...re substantially similar, once we had excluded standard forms, public domain elements, and so on. I would say that they are substan- tially similar, b... ...arity is required, and the similarity has to be between the new work and the elements of the original that are actually protected by copyright. Ele- m... ... so important. Charles only gets a copyright in his original creation. Those elements taken from the public domain (if “I’ve Got a Savior” was indeed ... ...f the park system and birdwatchers, but also hunters and those who disdained chemical pesticides in growing their foods. In the world of intellectual ...

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...s of interior ballistic...........................38 Non-Assignment 2, Meeting 2: The exterior ballistic..................39 The trajectory and its elements .........................39 Notions about the aiming............................40 The non-determination of the median point. Scattering. ................42 The laws of the non-scattering ............................

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.... The most significant discoveries in chemistry and physics are presented chronologically to illustrate their contributions to the creation of the chemical sciences during the last 21 centuries....

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... to express the full extent of my emotions and reasons for writing this book on the STORY OF THE ATOM AND THE SCIENCES, with special reference to the CHEMICAL SCIENCES. In one sentence, I can distill the essence of the purpose for this study by simply stating that it has been a labor of love that transcended the written word because sentiments and ideas belong in the rea...

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...CT ON THE ATOM AND ITS ENERGY 11 THE CLASSIC GREEK AND ROMAN PHILOSOPHERS 17 EMPEDOCLES (492-432 BC) Greek Philosopher 20 Proposed the four basic elements: earth, water, air and fire. DEMOCRITUS (470-380 BC) Greek Philosopher 22 The founder of the atomic theory of antiquity. CLAUDIUS PTOLEMY (100-170) Greek Astronomer 24 Proponent of the geocentric theory of our ...

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... there would be no examples of people raising themselves above the scum they were born in and reaching high levels of society. Understanding of the elements of high culture, its systemic approach to organizing one’s life, can be practiced by virtually everybody. One just needs to want to elevate themselves and work towards that goal, which may involve getting better tr...

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.... . . . . . . . . . 177 28.6 Concealed carrying . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178 29 Explosives and chemical weapons basics 181 29.1 Common explosives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 29.2 Lab safety . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...