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...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 ...

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...n at the loss of a body departing from her and into Noppawan's hands, with chemicals amuck in her body and brain, and jealousy ready to fulminate, but... ...de his clothes wrinkled and smelly, and left him with the need to urinate. Chemical fixations and caprices went out of him entirely with his liquids. ... ...hether or not his parents were alive, spirits, or nothingness beyond loose elements, a man had to commune with them and declare his manhood in this wa... ...himself that Kimberly's post-partum depression and her swift leap into the elements had not been his fault (fault not having yet been officially deter... ...nes, so he was not smelling the scent of the man mixed with the artificial chemicals as they were on him, but the scent of him within his perfumed mix... ...d continue to be sequacious to trust what was experienced in either of the chemically induced realms but then, he asked himself, what choice did it ha... ...se banks of the Chao Phraya river in Ayutthaya when solitary play with the elements inherent in air, rain, and dirt and the chase of an idea scurrying... ...y of human emotions thereafter as Nawin, feelings were gossamer threads of chemicals prompting puppet man to breed and breed elsewhere. Marriage had a... ...l microorganism was perfect in contrast to the debris of dark free flowing elements of space), why then did he judge a given person as being beautiful...

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... to make full agricultural use of our farmland. We can‘t afford the petro-chemicals to supplement our human and bovine manure. The global warming in... ...olerance. Here the practitioner is able to see everyone and everything as elements of the Universal. And, of course, if you see all clearly, you will... ...e provided free monthly. We don‘t give a stipend for those who choose the chemical approach to sterility. For those who want the surgical sterilizat...

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...t is far better than trees for sequestering carbon “Our toilets are chemical so we don‟t use gallons of fresh water to flush away a half pint o... ...r a month or so of use, sea water is used to flush away the biodegradable chemicals and the contents of the toilet storage bin. The sewage solids are... ...nd women have even a greater advantage from being happy. Two inflammatory elements, C-reactive protein and interleukin 6, were also lower.(16) Our p...

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... them to 17 Elissa Malcohn Deviations: Covenant surgical instruments and chemicals. In his laboratory he sought a cure for the Masari's dependenc... ...ata woman, her unusually light hair shorn cleanly, her body battered by the elements. Even close-up she was still tiny. Her skin cracked and peeled.... ... holding wisps of hair. She handed the hairs to Ghost, watching him measure chemicals to preserve the sample. She observed as he wrote down the quan... ...orth. His other senses took over. Glass shattered; pungent smells rose from chemicals spilling to the ground. His boots crushed soft tissue, slippin... ... He set his mouth into a hard line. Study the evidence. Figure it out. The chemical spills from within the cabin overshadowed an odor of burnt wood... ...'t tell where muck ended and spattered blood began. The body exuded a faint chemical whiff. WindTamer's heart jolted, but the limp shape was too mas...

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...ing in un­ derground cavities, and has probably undergone a thousand dif­ ferent chemical reactions. I believe we're dealing with a highly radioactiv... ... tion's plutonium. A concentration of plutonium combined with other toxic waste elements could just be the cause," Greene speculated. "If that's tr... ... been cooking themselves into a nuclear hybrid." "A hybrid?" "You know, a new chemical compound. That stuff's been cooking down there a long time.... ...king down there a long time. Probably creating hundreds - or even thousands - of chemical reactions, and forming new compounds, even deadlier togethe... ...ly synergy." "That still doesn't explain why it can't be detected." "These new chemical compounds probably don't conform to normal testing standard... ...lusions, Doctor?" "We believe that over the years a combination of radioactive elements has been seeping into the ground and has probably mixed tog... ...s been seeping into the ground and has probably mixed together causing numerous chemical reactions to occur. We, also, believe that these chemical r... ...m personally disturbed and outraged that the authorities and the media revealed elements of the crime scene, and impli­ cated innocent parties before...

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...ity in APEC Economies 6 I.2.3 Enhancing Financial Market Stability Several key elements underpin a robust financial system which is characteri... ... operations of other financial institutions (Financial Stability Board 2011). The key elements, among others include: I.2.3.1 Sound, Comprehensiv... ...in 2009; followed by vehicles, base metal and articles of base metals, and product of chemical, accounted for 10.99 percent, 10.40 percent, and 10.20... ... Rakyat Indonesia and Bank Mandiri), trade, service and investment (United Tractors), chemicals (Indocement Tunggal Prakarsa) and miscellaneous indu... ... was able to increase its market capitalization significantly, whereas plantation and chemicals were more severely affected (Indonesia Stock Exchang...

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...-quote- unquote 'their'--women, they were not protected under roofs from the elements but did the banging on the backs of horses. Uncomfortable, you ... ...the lowest part of her bookshelf. Chapter Nine The reasons for the specific elements of a myth (the cryptic reason why a given culture might have cho... ...tly from a scientific curiosity about what would happen if she mixed strange chemicals together. She was very curious about the outcome of child reari... ...alf open while plunging head first into the itching and asphyxiating pile of elements as dark as death, this ostensible foray into childhood belied th... ...ff in a coffin--strike that, an urn for I will be cremated to go back to the elements immediately." "Look at that once stalwart face in the mirror--is... ...d their guys at all moments of the hours. They are everywhere subservient to chemicals of love in their heads that make them subservient to his whims;... ...bath, which he hoped would exorcise him of the void. Like any explosive, the chemicals for the detonation were inside the container (himself); and all... ...o do some Italian stud fishing in the pool of her hotel. She loathed how the chemicals of this infatuation had been detonated in the Leaning Tower of ... ...d to be her husband. She could have felt victimized and vulnerable from this chemical volatility of mixing with people and men, these two species that...

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....6: Let G(I) be a neutrosophic vector space over the field K. The number of elements in the neutrosophic basis is called the neutrosophic dimension ... ...g neutrosophic vector space over the neutrosophic field K(I). The number of elements in the strong neutrosophic basis is called the strong neutrosop... ...tinguished from the others), with point of degree at most 4 and finally the chemical problem of trees in which every point has degree 1 or 4. Jorda... ...e that Jordan did so without having any suspicion of its bearing on modern chemical doctrine. The most famous problem in graph theory and perhaps i... ...nite non empty set V = V (G) of p points. (vertex, node, junction O-simplex elements) together with a prescribed set X of q unordered pairs of disti... ...Each pair x = {u, v} of points in X is a line (edge, arc, branch, 1-simplex elements) of G and x is said to join u and v. We write x = uv and say t... ...graph is a complete graph. Thus in a tournament for every pair of distinct elements u and v either (u, v) or (v, u) but not both is an arc of D. To... ...ry, 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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...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...

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...: "The goal is to enlargement of the artistic sphere through non-artistic elements. But especially the counter-time, counter-sense creation. Also, t... ...arious observers (that’s why T, I, F are subsets - not necessarily single-elements), uncertainty due to incomplete knowledge or acquisition errors o... ...nd, not on an empty field, and uses in its construction not only opposite elements to <T>, but elements of <Neut-T> as well, and even elements of <T... ...l than philosophy. f) Law of Joined Disjointedness: <A> and <Non-A> have elements in common. Examples: There is little distinction bet... ...s would be required, especially in philosophy (alike Mendeleev's Table of Chemical Elements). The mathematization is required because it is not poss... ...a high level of awareness; - postmodernist; - an algebraic, physical and chemical philosophy; - consistent with its inconsistence. Transcende... ...coexist in the human body, but they can't be traced out through physical, chemical, anatomical means. Kundalini Energy (of divine nature) is th... ...and obtain something in between: s% spiritual and m% material? [kind of chemical alloy]. Or, as Boethius, a founder of scholasticism, urged to "jo... ...played on the page... A poem is a philosophical system. A physics law, a chemical formula, a mathematical equation too. For example, a blank page ...

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... full bar. While casual, the room has an upscale vibe, in part from décor elements that include: a chain-suspended three-dimensional halo and bar, ... ...cury. One faculty member is Dr. Jefrey Taylor, who is working on orbital chemical data for Mars. Taylor is also a world-renowned expert in lunar ... ...an marketing a decontaminant to assist governments and industries facing chemical, biological and radioactive threats to the environment. Its fags... ...e for Global Optics very few companies in the world grow silicon carbide chemically, says David Kane, general manager of Trex Advanced Materials. ... ...l products to APEC economies because the patented material – called Trex chemical vapor composite silicon carbide (CVC SiC) – is engineered with a... ...re in APEC economies.” Kane says silicon carbide, produced in a patented chemical vapor composite process, also provides structural material for u... ...hen it dries, it's also easy to remove and with it comes the radioactive elements and other contaminants. Recently, it was used to clear a playgro... ...ranslational research in Hawai‘i? Most defnitely, yes. “All the standard elements are present,” says Hedges. “We are a Level 1 research university ...

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...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, ...

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...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...

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...(B 1 + B 2 ). Thus two bimatrices are added by adding the corresponding elements only when compatibility of usual matrix addition exists. No... ...y square bimatrix then ( ) 2 mm mm II × × = . A bimatrix A B all of whose elements are zero is called a null or zero bimatrix and it is denoted by... ...This is a m th order square bimatrix. This will not have 2m 2 arbitrary elements since 11 ij ji aa = and 22 ij ji aa = (where A 1 = 1 ij (a ... ...nd A 2 = 2 ij (a )) both below and above the main diagonal. The number of elements above the main diagonal of A B = A 1 ∪ A 2 is (m 2 – m). Th... ... above the main diagonal of A B = A 1 ∪ A 2 is (m 2 – m). The diagonal elements are also arbitrary. Thus the total number of arbitrary elements... ...ry, 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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...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...

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...elated projects necessary to implement a CBPR system in the APEC region. Four key elements aimed at promoting consumer trust and business confidence ... ...pply chain of goods and services. Adopt standardized and simplified common data elements and formats in accordance with WCO data model. Harmoniza... ...idance documents. Align domestic hazard classification and labeling schemes for chemicals to the Globally Harmonized System (GHS). Sign on to the...

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...hly organized under King Akhenaton. 11 It was later blended with religious elements from ancient Palestine of about the same era, as well as with orga... ...aning of the teaching of karma which appears to have been one of the basic elements in original Buddhist thought. It has posed many difficulties for l... ... question: It is not impossible that here, as in many other cases, certain elements of the training have been borrowed from the autochthonous Bonpos o... ...processes are at work in forming dreams, from hallucinations brought on by chemicals, hallucinations associated with mental disease, and visions/appar... ...n there was exposure of the deceased body on a raised platform open to the elements, and often there was direct earth interment with no coffin. This i... ...way Jung made the same point: [The] whole psychic organism…still preserves elements that connect it with the invertebrates and ultimately with the pro... ...th the same concept as computer technology, the pres- ence or absence of a chemical stimulus being taken as the method by which the nervous system, an...

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...it became obvious that we will never all agree because there are too many elements which are variable. What we can understand, however, is that we ea... ... disprove it in the future. Is it possible that there is an electrical or chemical reason for some people to think that they have had a mystical expe... ...d, when will the meek inherit the earth? Certainly nuclear, biological or chemical warfare are all in God‘s plan. If not, God won‘t allow it. ... ...that thing. So there is an ideal of dog, but no dog has all of the 63 elements of the perfect dog. Anselm said that we can conceive a being that ... ...ssential to keep Nature humming. ―In Islam, Sufism has pantheistic elements in its beliefs. It was probably influenced by Indian and Persian ... ... possibility for immigration, the role of religion, and a number of other elements of existing and proposed societies. ―We are talking her... ... verifiable to measure the speed of a falling object in physics or test a chemical reaction in chemistry than it is to determine the causes of violen... ...nating two thirds of the population of the world by nuclear, biological or chemical warfare. I hate to see it, but it is more likely than expecting p... ...h others how to make bombs or how to destroy cities through biological or chemical means. I don‘t want people of any race or religion enflaming othe...

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...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...