....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...

...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...

...(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...

...my life. Not only is he narcissist, he is bipolar as well, not to mention he also has a chemical dependency problem." "The devaluation was as shock... ...econd, following a narcissistic injury, depressed, sulking or raging." Narcissists and Chemical Imbalances – Sam Vaknin http://samvak.tripod.com/fa... ... narcissist goes through mega-cycles which last months or even years." Narcissists and Chemical Imbalances – Sam Vaknin http://samvak.tripod.com/fa... ...html "To the abuser, losing control means going insane. Because other people are mere elements in the abuser's mind – being unable to manipulate t... ... am sharpened, like a raw nerve firing impulses to you, receiving yours, an electrical- chemical dialog, consisting of your smelly sweat, my scented ...

...ds would be required, especially in philosophy (alike Mendeleev's Table of Chemical Elements). (The author might mean to quantamize philosophy, but h... ...be required, especially in philosophy (alike Mendeleev's Table of Chemical Elements). (The author might mean to quantamize philosophy, but how can we... ...thing is perfect; nothing is permanent. Any notion is sullied by opposite elements. The contrary's umbrage is imprinted on it. (A sage listens bilat... ...coexist in the human body, but they can't be traced out through physical, chemical, or anatomical means. (Science is blind in some senses.) Kundalin... ...sserts that the foundation of the universe consists of four principles or elements: the air, the fire, the water, and the earth. Some philosophers i...

...nted by other Hoomans with guns. They saw vast forests slashed and burnt, chemical waste poured into the rivers and seas, and the sky f lling with p... ...lla in Bombay.’ Theo did as he was told without a word. Losing Bozo to the elements like that had robbed him of the strength to go on. Not even the s...

...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 ...

...• Just as a tree transforms energy (it transforms light energy into chemical energy), it also synthesizes energy (it makes a synthesis of th... ... work of art. In my opinion, the life of a human being must contain these elements for it to be seen as a work of art in process; 1) – it must hav... ... from outside ourselves. 37 Inner and outer music are two indispensible elements for a better quality of life. But be careful, because the obsess... ...ove, both our own and that of others, and to make decisions based on these elements: our desires, our passions and ideals and judgment of these idea... ...n and it also rotates on itself. According to the composition of these two elements, the orbit around the sun and the rotation on itself the Earth e... ...ble from outside ourselves. Inner and outer music are two indispensible elements for a better quality of life. But be careful, because the obses...

...nging to the tree is in this: its form 7 and structure, its colours and chemical composition, its intercourse with the elements and with the stars... ...structure, its colours and chemical composition, its intercourse with the elements and with the stars , are all present in a single whole. The tre... ...he blessed eye that considers its own radiance, and the friendship of the elements accompanies the man into the stillness of dying and becoming. Th...

... O F K A B B A L A H Q: I read that Kabbalah develops the ability to sense the elements of reality and the spiritual worlds. But I also understand th... ...c can be Kabbalistic, it is only a byproduct, just as there are byproducts to chemical processes such as a rise in tempera- ture, decrease in pressur... ...in music, in writing, by creat- ing new teaching methods, or by presenting new elements into the pro- cess of study. However, music and songs are only... ...tor: benevolence. All other laws express physical, spiri- tual, biological and chemical aspirations that accompany the substance and the desire that ... ...d significantly shortens the whole process. It is much like what happens in a chemical reaction. It is pos- sible to contract the process by a millio...

...ck do not in the conceptual edifice of physics play the part of irreducible elements, but that of composite structures, which may not play any indep... ...like the “light cone” equation 0 2 2 2 = − σ τ d d c ( 0 ≠ σ d , 0 ≠ τ d ), elements of which are world-trajectories of light-like particles. But, i... ...rvable quantities. So teleporting photons move along trajectories which are elements of the world-cone (like the light cone) in that space- time area... ...onents of the circuit like a battery or energy supply. The passive circuit elements like the capacitors and inductors and resistors can be modeled ... ...ion in the function space can be represented as a long sum whose terms have elements from the spectral set as factors. For example, the set {sin(nx)... ...echnology, proceedings of the Third International Conference of The Electro-chemical Society, Inc. 30 East 42 Street, New York, NY 10017; Editor Ro...

...ndence in the real world. It is also clear that the solid body and the clock do not in the conceptual edifice of physics play the part of irreducible elements, but that of composite structures, which may not play any independent part in theoretical physics." / Einstein then went on to say that, in spite of the foregoing comment, we should temporarily support the use of the...

...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...

...e your own natural hair care products and save a bundle in hair treatments. Chemicals and detergents contained in those herbal shampoos and condit... ... much drugs. In fact, if you don't already know this.... Drug medications are chemical substances that are toxins to your body. If left accumulated ... ... the airway. It can be either mild or severe. Metabolic acidosis occurs when chemical changes in the body disturb the body's acid-base balance, cre... ... people, alcohol is a form of self-medication, related to low levels of brain chemicals, such as serotonin, dopamine and noradrenalin. Alcohol is th... ...an enzyme that regulates the activity of acetylcholine, which is an important chemical of the brain that maintains healthy learning and memory funct... ...eal. 2. Parsley is another effective remedy for arteriosclerosis. It contains elements which help to maintain the blood vessels, particularly the ca... ...r better life Author: Dr Izharul Hasan Page 82 skin from exposure to the elements like sunlight also increase the risk of bruising. Women also ...

...∪ (B 1 + B 2 ). Thus two bimatrices are added by adding the corresponding elements only when compatibility of usual matrix addition exists. ... ...dence maps that associates with each element of E i (G) an unordered pair of elements of V i (G) i = 1, 2. It is to be noted that E 1 (G 1 ) ... ...simple. A bigraph G = G 1 ∪ G 2 is bisimple if |G| = n that is number of elements in G 1 and G 2 without repetition i.e. o (G 1 ∪ G 2 ) = o(... ...ion between the health hazards the agricultural labourer suffers 94 due to chemical pollution. Let us taken the 11 attributes (P 1 , P 2 ,…, P 11... ... – Ulcer / skin ailments in legs and hands P 3 – Manuring the fields with chemical fertilizers P 4 – Vomiting P 5 – Mouth and stomach ... ...e at a fixed bipoint as the bihidden pattern. Thus manuring the field with of chemical fertilizers makes all the coordinates on except P 4 which im... ...ey may not suffer the symptom of vomiting because of manuring the field with chemical fertilizers. Now we study the effect of the attribute Head... ...ed by them due to spray of pesticides insecticides and manuring the plants by chemical fertilizers. At the first stage we take arbitrary attributes ... ...concepts. We further assume no intermediate relation exists within the domain elements or node and the range spaces elements. The number of elements...

...less) complex or orderly by our choice of level of (meta) description and language elements. The simple (and ordered) can be regarded as the tip of... ...e "edge of chaos" - in concepts and predicates with co-evolving static and chaotic elements. (Focal) meanings can be thought of as attractors. Con... .... Another example: "many" and "few" are value judgements or cultural judgements of elements of a language used (and so are "big" and "small"). Thou... ...thexis. The lingual energy being what it is it can be discharged only as language elements (its excitation levels are lingual). Put differently: t... ...fantasy, imagination, and emotions are nothing but electric currents and spurts of chemicals in the brain, they say. Holists, on the other hand, re... ...and understanding. The properties of water, for instance, do spring forth from its chemical and physical composition and from the interactions betw... ...fantasy, imagination, and emotions are nothing but electric currents and spurts of chemicals in the brain, they say. Holists, on the other hand, re... ...and understanding. The properties of water, for instance, do spring forth from its chemical and physical composition and from the interactions betw... ...ists. But we live at an age when mental disorders are thought to have physiological-chemical-genetic origins. All psychological theories and talk th...

...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...

...sure and the Giv- er of the pleasure. In reality, all that exists is these two elements. 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... ... T H E G I V I N G F O RC E A N D T H E R E C E I V I N G F O RC E 55 higher elements, in the sense that they precede all religions and belief syst... ... matter. Instead, it postu- lated that matter is operated by cause and effect. Chemical reac- tions do not happen according to the phantoms of alchemy... ...ot happen according to the phantoms of alchemy, but according to quantifiable chemical reactions that can be mechani- cally controlled by mathematics... ...l other sciences. It was believed that although a living organism was made of chemicals, it was nonetheless oper- ated by a living entity that was no... ...ding ours, stand one below the other. Hence, all the worlds comprise the same elements. The Light emerges from the Creator and traverses all the wor... ...in the worlds above this world, too. There is only one difference between the elements of this world and the elements of the Upper World: in the Upp... ...ped. When I was a child, we would take pictures on a film and dip the film in chemicals to de- velop the pictures. When the film was immersed in the ... ...be chilled, the cold can be heated; the solid can be turned to liquid through chemical operations, and the liquid made into air, meaning only gas, w...

...e warriors of ancient Sparta may have challenged their newborns to test the elements on the barren hillside, thereby allowing for only the strongest ... ...lf out of unhappiness and powerlessness, so the false hope of psychoactive chemicals has reappeared, particularly among the young. The Chinese govern... ...rders seem to be smoking related. 19 0 ―There are over a hundred chemicals in tobacco smoke. One of the most harmful is carbon monoxide wh... ...o the unborn infant due to the effects of carbon monoxide and other tobacco chemicals. That second hand smoke from the father or mother continues to ... ...eloping. We also give a bio-psychological test to ascertain potential brain chemical problems No sense letting the child suffer from something that c...

... 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...