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Equivalence relation (X) Non-Fiction (X)

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 Book Id: WPLBN0002097645 Subjects: Non-Fiction, Education, Smarandache Collections Collections: Literature, Education, Authors Community, Mathematics ► Abstract Full Text Search Details...ions. In the first section we just give the basic concepts or notion like equivalence relation greatest common divisor etc. Second section is devote... ...e first section we just give the basic concepts or notion like equivalence relation greatest common divisor etc. Second section is devoted to giving ... ...epts The main aim of this section is to introduce the basic concepts of equivalence relation, equivalence class and introduce some number theoreti... ...ain aim of this section is to introduce the basic concepts of equivalence relation, equivalence class and introduce some number theoretic results use... ...= c -1 ac. We denote a conjugate to b by a ~ b and we shall refer to this relation as conjugacy relation on G. 9 DEFINITION 1.2.4: Let G be a... ...properties of them. DEFINITION 1.3.1: Let A and B be non-empty sets. A relation R from A to B is a subset of A × B. Relations from A to B are cal... ...ive if for a, b, c in A, aRb and bRc imply aRc. A relation R on A is an equivalence relation if R is reflexive, symmetric and transitive. In this ... ... symmetric and transitive. In this case [a] = {b ∈ A / aRb} is called the equivalence class of a for any a ∈ A. DEFINITION 1.3.2: A relation R o... ... This problem leads to the definition of Smarandache right (left) coset equivalence sets in a loop L related to a subgroup A of L. In chapter 5 se...
 Book Id: WPLBN0002118042 Subjects: Non-Fiction, Religion, Kabbalah ► Abstract Full Text Search Details...lies to every detail and occurrence of reality, in every single world, in relation to the world Above it. ThE lAngUA gE of ThE KAbbAliSTS iS A lAngUA... ...e for these matters, being the Language of the Branches, indicating their relation to their Upper Roots. However, this language, though extremely sui... ...derstands the way the branches relate to their roots. It is because these relations are not at all clear when looking from the lower upwards. In oth... ...must ask further: How then, has the disciple grown so wise as to know the relations of branch and root through tracing the Upper Roots? The answer i... ...Torah” (Items 9,11), pleasure and sublimity are measured by the extent of equivalence of form with the Maker. And pain and intolerance are measured ... ...der, until we reach its head in the sky, which is the purposeful point of equivalence of form with our Maker. And the difference between these two f... ...our sensation of the pleasantness and gentleness that reach us due to the equivalence of form with our maker. b. We save time, for he operates to “e... ...the Creator alone, that is, from the disparity of form from the Maker, to equivalence of form with Him, which is called Dvekut (adhesion), as clarif... ...hown that when one comes to love others, he is in direct Dvekut, which is equivalence of form with the Maker, and along with 5 8 ...
 Book Id: WPLBN0000690199 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details... man gradually correct him- self through developing the screen, thus attaining equivalence of form with the Creator, to the point of Ein Sof, meaning... ...nce or by chance discoveries. We would know nature in its perfect harmony and relationships, and learn how to use it wisely. Today, however, all sci... ...of receiving, in order to turn it into giving. Then, by reason of the law of “equivalence of form,” the Light will enter our souls. Those concealed ... ...That is why it is the most effective means to produce spiritual closeness and equivalence of form with the Creator. It only becomes the most effectiv... ...ctions do not bear any external manifestation, but rather change our personal relationship with the Creator. Hence, the concealment. We perform the ... ...nstantly receive a different sensation, a different position, and a different relationship with anything or anyone. That would immediately place us ... ...he land of Israel after the holocaust, the last era began. It was a return by equivalence of root and branch, a return to the corporeal land of Isra... ... nature and rejecting it. You are experiencing the beginning of your personal relationship with the Creator. The good and right thoughts came becaus... ...r friends. This happens naturally. There’s a law in nature called “the law of equivalence of form.” That law makes objects with similar attributes d...
 Book Id: WPLBN0000674619 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details... from Him, with the aim of bringing contentment to the Creator, it is called “equivalence of form.” At first, one restricts oneself, saying, “I don’t... ...or created and the pleasure that He gives serve as a condition upon which the relationship with the Creator is based. Man agrees to re- ceive from th... ...ain eternal and perfect pleasure and unity with the Creator. Without attaining equivalence of attributes with the Creator, we will only be able to ex... ...om, the first of which is called “the Light of Neshama.” The entire spiritual relationship between the Creator and the crea- ture in the state of Kat... ...he Creator and the crea- ture in the state of Katnut is built exactly like the relationship in our world between mother and child. We can solve all t... ...etween mother and child. We can solve all the problems that arise in physical relationships by understanding the root relationships that exist in th... ...ppear alike on the outside, but you can see the difference only when you have equivalence of spiritual attributes, when the T H E PAT H O F K A B B... ...nge another, we climb another degree and so on. All the degrees are levels of equivalence with the Creator. The world of Ein Sof is in complete equi... ... the Upper World, we, too, feel what happens “outside us” by the principle of equivalence of attributes. In order to feel some- thing external, an or...
 Book Id: WPLBN0002118038 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details...ddenly feel the whole of reality change, too. He recognized that egoistic relation- - ships are the cause of every form of suffering in the world. Th... ...tion, everything that will happen to her will stem from reciprocity, the “relationship” between Phases one and Two. As we’ve just shown, the new des... ...doing, help the unworkable desires correct themselves. We can picture the relationship between the worlds and Creation as a group of construction wo... ... humanity’s evolution, we will all attain the Creator in a state called “Equivalence of Form.” To reach that goal, Kabbalists carefully defined whic... ...hat we not only have the same intention, but be- - cause we have developed equivalence of form with Him, we see and perceive things we would not perc... ...ishly, we will regain 148 K abbalah for b eg Inners - p art f our equivalence of form with Him as it exists in the spiritual worlds. Deactiv... ...ves. Discovering the Creator is only possible according to the measure of equivalence of qualities with the Cre- - ator. If we could feel the Creator... ...ator, it is the end of correction. what is love? Love is a consequence of equivalence of inner traits, meaning attributes. In Kabbalah, there is onl... ...al teachings of Kabbalah, and how you can use its wisdom to clarify your relationship with others and the world around you. Using language both scie...
 Book Id: WPLBN0000674121 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details... an inkling of spirituality, bringing him to prefer it to materialism. Then, in relation to his spirituality, he clarifies his desire. Accordingly, h... ...ends the sort of framework in which he should live, and what his position is in relation to other generations. In each era, mankind uses the world s... ...tion of the worlds from above to below, in order to draw the spiritual Light in relation to the material studied. This Light gradually cleanses our V... ...t language might he write the correlation between two objects? And what are the relations between spiritual objects? How can he describe the spiritu... ...0 Topics examined in this lesson: 1. The First Man (Adam HaRishon) 2. The Equivalence of Form 3. The Correction 4. Spiritual Filters To sum...
 Book Id: WPLBN0002118041 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Description Details...of Yehuda Ashlag)--provides you with a deeper understanding of the fundamental teachings of Kabbalah, and how you can use this wisdom to clarify your relationship with others and the world around you. Using language both scientific and poetic, he probes the most profound questio... Full Text Search Details...d into individual souls that descend in a cer- tain order. He writes about relationships between the bodies in this world, under the influence of the ... ... i o n s i n b e t w e e n All the signs combined created the code for the relation- ship between God and humankind, and at any moment things 8A WAKEN... ...the highest point of spir- itual evolution in our world, anyone can attain equivalence of form with the upper force—the Creator. We can attain the hig...
 Book Id: WPLBN0000662940 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details...food, but also from knowing who is giving it to me, knowing with whom I have a relationship. The smallest portion of food I receive from a great figur... ...llives,wehavebecomeusedtonotthinking at all about ourselves, our interpersonal relationships, our families, our work, in all of the deeds we perform i... ...elievetoexistoutsideofus,infactexistonlyinrelationtous. That is, they exist in relation to one who perceives reality in this particular manner. Ifwedo... ...the spiritual Light. OtherwisetheLightcannotenterthem,accordingtotheLaw of the Equivalence of Form of Spiritual Objects. The activity of spiritual obj... ...degree that egoism has been ejected. This is in accordance with the Law of the Equivalence of Qualities Between the Light and the Vessel. We can, in f... ...n ourselves, we should try to cultivate both a sense of our own inferiority in relation to the Creator, and a sense of pride in the fact that as human... ...dies, due tothe demands of work and family. Any effort can be measured only in relation to one’s free time,andbydetermininghowmuchonesuffersbecauseofa... ...tothe lower part (the spiritual level of the seeker) and comes into a state of equivalence with the qualities of the lower part. EradicatingEgoism -12... ...D heart." This even includes those desires not required to be brought into an equivalence of form with the Creator. If we can completely suppress all...
 Book Id: WPLBN0002097651 Subjects: Non-Fiction, Education, Smarandache Collections ► Abstract Full Text Search Details...× µ ) (x, y) = min {λ(x), µ (y)} for every (x, y) ∈ X × Y. A fuzzy binary relation R λ on a set X is defined as a fuzzy subset of X × X. The co... ...X is defined as a fuzzy subset of X × X. The composition of two fuzzy relations R λ and R µ is defined by (R λ o R µ )(x, y) = sup X t∈ {min R... ... y)}, for every x, y ∈ X. DEFINITION 1.1.12: Let R λ be a fuzzy binary relation on a set X. A fuzzy subset µ of the set X is said to be a pre cla... ... {µ (x), µ (y) } ≤ R λ (x, y) for every x, y ∈ X. 11 A fuzzy binary relation R λ on a set X is said to be a similarity relation on the set X i... ....2: A relation ρ on an R-module M is called a congruence on M if it is an equivalence relation on M such that (a, b) ∈ ρ and (c, d) ∈ ρ imply that (a... ...uzzy relation α on M [i.e. a mapping α : M × M → [0,1]] is called a fuzzy equivalence relation if i. z , y , x all for ) z , y ( ) x , x ( sup M ... ...α α ∈ ≥ for all x, y in M (fuzzy transitive). DEFINITION 1.8.5: A fuzzy equivalence relation α on an R-module M is called a fuzzy congruence if α ... ... [] [] ) y , z ( ), z , x ( Min sup M z µ µ ∈ α α . Thus α µ is a fuzzy equivalence relation on M. Now α µ (x + u, y + ν) = µ (x + u – ν – y... ... generates the half groupoid P. Now we introduce the notions of fuzzy equivalence relation as given by [144] and proceed on to recall the defini...
 Book Id: WPLBN0002097644 Subjects: Non-Fiction, Education, Smarandache Collections Collections: Math, Literature, Education, Algebra, Authors Community, Mathematics ► Abstract Full Text Search Details... n . (D 2n is called the dihedral group of order 2n given by the following relation, D 2n = {a, b/ a 2 = b n = 1; bab = a}. 13. Give an examp... ...ces used in this book. DEFINITION 1.2.1: Let A and B be non-empty sets. A relation R from A to B is a subset of A × B. Relations from A to B are c... ...lation R from A to B is a subset of A × B. Relations from A to B are called relations on A, for short, if (a, b) ∈ R then we write aRb and say that ... ...ions on A, for short, if (a, b) ∈ R then we write aRb and say that 'a is in relation R to b’. Also if a is not in relation R to b, we write b R a / ... ...itive if for a, b, c in A; aRb and bRc imply aRc. A relation R on A is an equivalence relation if R is reflexive, symmetric and transitive. In the... ...ve, symmetric and transitive. In the case [a] = {b ∈ A| aRb}, is called the equivalence class of a for any a ∈ A. DEFINITION 1.2.2: A relation R o... ... DEFINITION (MONICO, CHRIS): A congruence relation on a semiring S is an equivalence relation ~ that also satisfies        + + + + ⇒ c x... ...ongruence relation) ~ if we have a S-subsemiring A of S such that '~' is an equivalence relation that also satisfies        + + + + ⇒ ... ...61, 66, 91, 95-96, 100 Distributive law, 19, 39 Division ring, 19 E Equivalence class, 12 Equivalence relation, 12, 51, 80 Extension field...
 Book Id: WPLBN0000674618 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details...the Creator--be realized. In Kabbalah, this identical- ness is referred to as “Equivalence of Form between the creature and the Creator.” The wisdom ... ... At Gmar Tikkun, every soul is filled with boundless pleasures and a complete equivalence of Form with the Creator. In our present state, the Light ... ...love to give pleasure back to the host. Another example of a giving-receiving relationship is be- tween parents and children. Actually, the child is ... ... 62 T H E FA M I LY U N I T Dr. Satinover: What is the Kabbalistic approach to relation- ships between men and women at the start of the 21 st centur... ... corrections, they will come to the right connection in such a way that their relationship will resemble the Upper Force. The difference between what... .... As the ego runs amuck, people cannot stand to be near one an- other. Family relationships in general, and spousal relationships in particular, are... ...bbalah explains that all that we feel in reality adheres to the principle of “equivalence of Form,” the “congruence principle.” In each of our five ... ...ased on the same principle that applies to our perception of reality, namely “equivalence of Form.” In other words, we must match ourselves to these... ...led “building a spiritual Partzuf “(face), a term that indicates a measure of equivalence between the Creator and the creature, between the Light an...
 Book Id: WPLBN0002097647 Subjects: Non-Fiction, Education, Smarandache Collections ► Abstract Full Text Search Details...dular lattices. DEFINITION 1.3.1: Let A and B be two non-empty sets. A relation R from A to B is a subset of A × B. Relations from A to A are ca... ...ion R from A to B is a subset of A × B. Relations from A to A are called relation on A, for short. If (a, b) ∈ R then we write aRb and say that a i... ...ion on A, for short. If (a, b) ∈ R then we write aRb and say that a is in relation R to b. Also if a is not in relation R to b we write a R / b. A r... ... a = b. R is transitive if for all a,b,c in A aRb and bRc imply aRc. A relation R on A is an equivalence relation, if R is reflexive, symmetric a... ...tive if for all a,b,c in A aRb and bRc imply aRc. A relation R on A is an equivalence relation, if R is reflexive, symmetric and transitive. In t... ...metric and transitive. In this case, [a] = {b ∈ A / aRb} is called the equivalence class of a for any a ∈ A. DEFINITION 1.3.2: A relation R on... ...exists e ∈ M such se = es = s. The reader is advised to develop Morita equivalence on semigroups with systems of local units. A ring (or semi... ...Can we ever find a ring R in which subring link relation happens to be an equivalence relation? 182. Can reals or ring of integers have pairs whi... ...es, Math. Issled, No. 66, 113-127, (1982). 58. Neklyudova V.V. Morita, Equivalence of semigroups with systems of local units, Fundam. Prikl. Math...
 Book Id: WPLBN0002118040 Subjects: Non-Fiction, Religion, Self Help ► Abstract Full Text Search Details...ther means of communication. w ith this information, we will 5. revamp our relationships and rebuild them on the basis of trust, collaboration, and y... ...hy our ignorance of the desire to give is so harmful, we can think of the relationship between the desire to give and the desire to receive like th... ...lationship between the desire to give and the desire to receive like the relationship between a mother and her child. In a healthy relationship, th... ...rceive of it. So how do we perceive? w e use a process best described as “equivalence of form.” Each of our senses responds to a different type of s... ...ctual object or sound is the same as the model I created in my mind. The “equivalence of form” principle applies not only to our senses, but to our ... ...the whole of nature is a testimony to the ef- ficiency of learning through equivalence of form. It is thrilling to watch lion cubs play. They crouch ... ...nge is the underlying message: instead of focusing on a couple’s troubled relationship, the words can highlight their efforts to discover the unity... ...ce the most important source of happiness, which is the quality of human relationships—at home, at work, and in the com- munity.” --Richard Layard, ...
 Book Id: WPLBN0000667786 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details...he Four Elements that Comprise Us 4. The Right Environment 5. The Law of Equivalence of Attributes 6. The power of thought 7. A Chosen People 8. ... ... When the creature acquires Creator-like attributes, this state is called Equivalence of Form with the Creator. The individual then senses the Creat... ...” is the sum total of all the conditions that define the measure of man’s equivalence with the Creator, this is called the measure of his adhesion w... ...re of attachment is determined by us. It is we who set the conditions for equivalence through our own will, through our intent, our prayers, which c... ...ising MAN. This is the one factor by which the creature can influence his relationship with the Creator, influence what he will receive from above, ... ... not Him, but the screens that conceal Him. I can, however, influence my relationship with Him, breaking through these screens. When the first Jewi... ...were a mechanical law, because the meaning of keeping a spiritual law is equivalence with it, to be inside it, identical with it. If your desire f... ...le surrounding creation, the collective thought of creation and the inter-relationships between the various parts of creation. It teaches us of man... ...elates to the situation we’re in. It stands above all other emotions and relationships. According to the Kabbalah, there is only one law: the law o...
 Book Id: WPLBN0000674616 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details...daries of “absolute egoism.” According to Kabbalah, the laws regulating social relationships are more important than the laws regulating the relation... ...ghbor, the rest are merely subsidiary laws, including those pertaining to our relations with the Creator. In fact, one cannot merge with Him prior t... ...ceive, and hence are objective. As a result, Kabbalah offers the attainment of equivalence of properties and actions with the Creator as a means of n... ... “close,” and the distance between their corporeal shells is unimportant. The relationship between them is determined by their spiritual affinity. I... ...ing for the sake of another is not consid- ered reception, but bestowal. Since equivalence of properties means B A S I C C O N C E P T S I N K A B B... ...red for it. At the same time, the body merges with the Creator because of the equivalence of their qualities. By so doing, it pleases the Creator be... ...68 Therefore, Kabbalah considers the instructions that refer to interpersonal relationships to be more important than our duties regarding the Creat... ...adicating the egoistic will to enjoy until we achieve the purpose of Creation—equivalence and adhesion with the Creator. It is important to understan... ...el the Creator (the Light) depends only on our closeness to Him, based on our equivalence of attributes with Him. This is because every one of us is...
 Book Id: WPLBN0000693012 Subjects: Non-Fiction, Religion, Kabbalah Literature ► Abstract Full Text Search Details... descend. The desires determine how the science, culture, art and social relationships of that generation will evolve. Everything is determined from... ...tudy of the Ten Sefirot) that time and space are terms that exist only in relation to us humans, that in fact, time does not exist. The minute one c... ...hat is a historic cornerstone from which begins a genuine change in man’s relation to the world, in his relation to the wisdom of Kabbalah, and his ... ...ts, gives each part a name according to its attributes, and describes the relationships between them and the outer world. That is the power of the l... ...ime. We cannot accurately measure emotions in our world. For example, the relation between touching a warm body and the brain’s reaction to it, depe... ...reator is not concealed from me. It is simply that because of the lack of equivalence in our attributes, I am remote from the Creator in the spiritu... ...ondition that by that you delight the giver. At the end of the process of equivalence, called the “end of correction”, the soul-vessel, the Malchut ...
 Book Id: WPLBN0002097643 Subjects: Non-Fiction, Education, Smarandache Collections ► Abstract Full Text Search Details...R + and Z ⊂ Q ⊂ R, where ' ⊂ ' denotes the containment that is ' contained ' relation. Z n = {0, 1, 2, ... , n-1} be the set of integers under mu... ... homomorphic image of a sub-semigroup of S 2 . In symbols G 1 | G 2 . The relation divides is denoted by '|'. DEFINITION: Let 1 K = (Z 1 ,... ...(z 1 , z 2 , z 3 )}, {a 1 , a 2 }, {0, 1}, δ, λ} Define the equivalence classes on Z as ~ 1 and ~ 2 . Find Z/~ 1 and Z/~ 2 . ...
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