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...ion & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arbor MI 48106-1346, USA Tel.: 1-800-52... ... 1 n 2 1 a a a a a a a a K K . A cycle of length 2 is a transposition. Cycles are disjoint, if there is no element in common. Result: Every pe... ... Result: Every permutation σ of a finite set X is a product of disjoint cycles. The representation of a permutation as a product of disjoint cyc... ...ne of which is the identity permutation, is unique up to the order of the cycles. DEFINITION 1.2.7: A permutation with k 1 cycles of length 1, k ... ...les. DEFINITION 1.2.7: A permutation with k 1 cycles of length 1, k 2 cycles of length 2 and so on, k n cycles of length n is said to be a cycl... ...representation of a finite Bol loop for α ∈ π, α is a product of disjoint cycles of equal length. 30 Example 2.5.1: Let L be a loop given the ...

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... Chapter 1 They, with their driver, went down Ramkhamhaeng Road singularly in the scope of their thoughts but conditioned into repudia... ...ite Thai's reverence for royalty, the three of them went down Ramkhamhaeng Road without even thinking about the king behind the name. He, his whore, a... ...ture as they were of the monarch, Ramkhamhaeng, that was the source of the road's name. The taxi driver was near-sighted so to him, as most things at ... ...," said the driver. "My son always got that way even a kilometer down the road when he was a boy. Matter of fact that happens to him now--not quite ... ...lves in a unit. There were only these socialized wills rolling along on a road in marginal darkness under the specious assumption that there really w... ...ve. The movements of his splayed legs when he walked were like parting ice cycles even though the furnace was operating and it was warm inside his apa...

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...of the dead.” How can we reach the Creator? We accumulate experience over our cycles in this world and evolve to the level that we are able to be- gi... ...n to oppose unconscious development, as we have been led through by our past cycles. When we attain that certain level, a special desire begins to ... ...t feel it, because they haven’t matured enough to feel it. During one’s life cycles, one comes to a situation where the point in the heart is reveal... ...h. T H E K A B B A L A H E X P E R I E N C E 58 One waits on the side of the road, so to speak, before agony prods further movement to return to th... ...ies. The writings of the Ari, however, aim at more developed souls from later cycles, and therefore appear different to us. But the most suit- able f... ... no other ways except for Kabbalah! It would be more accurate to say that ALL roads lead to the Creator, but Kabbalah is the shortest of them. A: Ho... ...: How can one know that Kabbalah is the shortest way, that it is actually the road leading to the goal? One travels on the road of Kabbalah relying o... ...ough what they went through. You’re progressing toward the goal, although the road seems confusing, tiring, tedious and empty. Nonetheless, it still... ...Or was it their way of distancing themselves from the desires obstructing the road to the goal (money, respect, power, etc.)? What was happening to ...

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...Partzuf. Sometimes such a point can remain dormant in the heart for many life cycles. If that point is absent, a person can study Kabbalah for years... ...balists wrote it from Above downward, not from below. It is actually the same road, but when looking from Above, it is described in more general ter... ...ed a very hard life. He was among the work- ers who built the Hebron-Jerusalem road. The workers lived in tents and would move from place to place wh... ...d in tents and would move from place to place while doing each section of the road. The cook permitted Baruch Ashlag to study in the kitchen from 3 ... ... the ultimate goal. The beginning and the end points are preordained, but the road there can be a path of Kabbalah or a path of pain. Which path we ... ...ty. This is the first path, the path of pain. It is a very long and agonizing road. However, the Creator gives every person a way out of the anguish ... ...en from Above. It can also be the consequence of pains suffered during former cycles of exis- tence. L E T T E R S & L A N G UAG E Q: Are there lette... ... were purer in the past, but have sunk deeper and deeper into egoism over the cycles. Therefore, the last correction should result in an exit from th... ...ration, and prepares souls for their personal correction in one of the future cycles, for the realization of the aim Lishma (for Her name). Keeping t...

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... eternal, and complete lives. Souls of great Kabbalists go through special cycles. They do not appear in our world in every generation but, like the b... ...age fifteen. He always worked simple jobs: he was a construction worker, a road builder, a shoemaker, and a clerk. Never ashamed to do any work, he kn...

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...any changes be made, how will the human race ever break free from endless cycles of fear, ignorance, and hatred, if new ground is refused on sight o... ...sion Theory of Perception": the concept that "the truth remains where all roads equal zero". Where all things cancel out. "The truths that truly mat... ... why? Because they see themselves destroying themselves. They see endless cycles of war and hatred and bloodshed and destruction. One group claims t...

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...with our bodies. Nor are we different from our souls after they passed all the cycles of life, and finally returned to the Creator. We are created so ... ...ensory organs. First, imagine that you are in a vacuum. Before you stretches a road. Along the road at certain intervals are markingsfromzero,whereyou... ...rvals are markingsfromzero,whereyoustandnow,totheend.These markings divide the road into three parts. We do not move along the road by the alternate a... ...ssageoftime,oneisvisitedbyan extraneous thought. And so, gradually, after many cycles of disturbing thoughts and spiritual ascents, such a steadfast -... ...was implanted in each of us, but which sometimes remains dormant for many life cycles. Thisistheessenceofourfreewill.Oncewebegintofeel the awakened al...

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...helped a whole nation connect with the Creator, it was not the end of the road. The end of the road will arrive only when the whole world is in touc... ...oism. Put Chapter 1: Kabbalah Chronicles 23 differently, the end of the road will arrive when all of humanity reclaims what it once had, and then ... ...e they haven’t “matured” or rip- - ened enough to feel it. During our life cycles, we come to a situation where the point in the heart is revealed. I... ...ains a clear analysis of the human soul and its problems, and provides a “roadmap” of what we need to do to once again be happy. From Chaos to Harb ...

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...rmation & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arbor MI 48106-1346, USA Tel.: 1-80... ...ic if it does not posses any directed cycle. DEFINITION 2.1.6: An FRM with cycles is said to be an FRM with feedback. DEFINITION 2.1.7: When t... ...ic if it does not possess any directed cycle. DEFINITION 4.1.6: A NRM with cycles is said to be a NRM with feedback. DEFINITION 4.1.7: When th... ...l friends and known persons ran away with fear from her. She knows to repair cycles; apart from this, she does not know any other work. She started...

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...ll these creatures, what It wants with them, and what the end of all the cycles of the world will be. Ramchal, Pitchei Hochma (Doors of Wisdom), Doo... ...e monster that lies in the midst of his Niles to those “who travel on the road,” who know the secret of their Master. Zohar for All, Bo [Come], Ite... ...e that we, too, will obtain these states. After all, they are part of the road to discovering the truth. The Ga Te o ver The d ee P These three sons ... ...ns, he should see the creator before him. Anyone who is walking along the road, who fears robbers, should 234 uNloCkiNg the Zohar aim for three thi... ...and was tied to an adder [extremely venomous snake] in the middle of the road. They fought each other and died. When they came to them, they saw th... ...t each other and died. When they came to them, they saw them lying on the road. Rabbi Shimon said, “Blessed be the merciful one who made a miracle f...

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...l these creatures, what It wants of them, what will be the end of all the cycles of the world, and how all these cycles in the world, which are so f... ... walks who is worse than he who sits idly. It is he who deflects from the road, for the path of truth is a very thin line that one walks until one co... ...he appointed many of his servants to guard the palace gate and on all the roads leading to it, and ordered them to cunningly deflect all those neari...

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...e amount as Nicola’s, it comes complete with twenty one gears, suspension, disc brakes and ergonomic saddle. He speeds down the path and out onto the road, without a backward glance as he passes Nicola and Simon, he pedals quickly down the road and is soon lost to sight around the corner. “Looks like someone’s in a hurry, you two had a row?” asks Simon. “Not that I k...

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...rations able to turn back the clock, and return to digging up ditches, fixing roads, and building mega projects? Would these generations who traded b... ...problem in the East was still increasing, even though East Germans had better roads, streets and nicer hospitals and schools. Eastern and parts of c... ...herlands has experienced, but the income it produces could build schools, fix roads and create much needed employment. The case for legalizing wh... ...ries. The income from this, could very well fund any New Deal. 8. Toll Roads Any New Deal that includes rebuilding roads, could be paid for... ...s rebuilding roads, could be paid for by implementing a “toll” for using that road. This is not a new idea, and is common in Europe, but it could co... ...means less credit, and the GDP of Countries not measured in the boom and bust cycles values of the stock market, but on the real wealth of the natio...

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...ation & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arbor MI 48106-1346, USA Tel.: 1-800-... ...uction, which has since become the standard procedure that the independent cycles of a graph determined by any of its spanning trees will suffice. ... ... any longest cycle. These terms are undefined or has no meaning if G has no cycles. The distance d(u, v) between two points u and v in G is the len... ... or even. Result: A graph is bipartite if and only if it contains no odd cycles. DEFINITION 2.2.2: An automorphism of a graph G is an isomorph... ...of u I-1 and incident into u i . Directed trails, directed paths, directed cycles and induced subdigraphs are defined analogously as for graphs. D... ...N 2.3.9: Let G be a connected simple graph containing at least two disjoint cycles. Then the cyclical edge connectivity of G is defined to be the mi... ...very common in the countries like India, where many other factors like bad roads; reckless driving by others; drunken driving etc. wreak havoc on t...

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...d out of a Chinese hotel in Sob Tui, near Lampang station, and crossed the road to the corner of the Phahonlyothin road. It was midday and the heavy h... ...rossing is still there, it is as potholed as before, but the Phahonlyothin road has become a wide boulevard. Where there used to be junk shops and rep... ...the villages of this book in Lampang, having set foot on the Phahonlyothin road. For me, this land, Lampang Province and its three villages mean numer... ...n today. Drug addicts in particular used to steal buffalo and sleep at the roadsides, and they might be killed just like that. Today, too, if the poli... ... villages take care of things themselves and punish criminals. The village road used to be very bad. In the rainy season, you couldn't walk on it with... ...its rear rack, it was used to get to and from the fields. Mopeds and motor cycles became common in the 1980s, and in the 1990s, cars began to appear a...

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... (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arbor ... ...c if it does not possess any directed cycle. DEFINITION 1.1.7: An FCM with cycles is said to have a feedback. DEFINITION 1.1.8: When there is ... ...d be non-negative. Different weights may produce different equilibrium, limit cycles or fixed points as hidden patterns. We can also weigh separatel... ...ic if it does not posses any directed cycle. DEFINITION 1.3.6: An FRM with cycles is said to be an FRM with feedback. DEFINITION 1.3.7: When t... ...ic if it does not possess any directed cycle. DEFINITION 1.5.6: An NCM with cycles is said to have a feedback. When there is a feedback in the NCM... ... children in comparison with Brahmin children R 9 - Right to use all public roads by Dalits R 10 - Fight against denial of right to use common ... .... Periyar’s intense involvement granted the basic civil right of using public roads to the ‘low’ castes and untouchables. His courageous struggle ea... ...and the Travancore Maharani met, she asked the Mahatma, "If we throw open the road now, you will immediately take efforts to enter the temple." Ma... ... who is responsible? There is no place to bathe. They should not come to the roads; they should not come to the common wells and ponds. They don’t ...

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...formation & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arbor MI 48106-1346, USA http://www.lib.umi... ...hbacher [3] found that the alternating iteration Z(…(φ(Z(φ(n)))…) ends in 2-cycles of which he found the following four 1 : ... ... iteration Z(…(φ(Z(φ(n)))…) ultimately leads to one of the following five 2-cycles: 2 -3, 8 - 15, 128 - 255, 32768 - 65535, 2147483648 - 4294967295.... ... (3) for r=1,2,3,4,5 gives the complete table of expressions for the five 2-cycles. Cycle # 2-cycle Equiv.expression 1 2 ↔ 3 2 ↔ 2 2 -1 2 ... ... , r=1,2,3,4,5. A statistical survey of the frequency of the different 2-cycles, displayed in table 2, indicates that the lower cycles are favore... ...)=2 32 -1 The result is shown in table 3. Table 2. The distribution of cycles for a few intervals of length 1000. Interval Cycle #1 Cycle #2...

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...ion & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arbor MI 48106-1346, USA Tel.: 1-800-52... ...f it does not possess any directed cycle. DEFINITION 1.1.7: An FCM with cycles is said to have a feedback. DEFINITION 1.1.8: When there is a fee... ...e non-negative. Different weights may produce different equilibrium limit cycles or fixed points as hidden patterns. We can also weigh separately an... ... of repeated patterns. Repeating patterns can be fixed points or limiting cycles or a chaotic attractor. A 'fixed point' is a single recurring patte... ...mber of paths between the two concepts is even. If i = j then we refer to cycles. The case of a completely balanced digraph (r = 0) occurs when we h... ...ariables. Since FCMs are dynamic systems, their resonant states are limit cycles. The limit cycle or hidden pattern is a FCM inference. The limit cy... ...construction of dwellings, houses, apartments, dams, reservoirs, village roads, flyovers and cementing of the entire national highways. Hence maxim... ...ery common in the countries like India, where many other factors like bad roads; reckless driving by others; drunken driving etc. wreak havoc on the ...

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...r, tellingly titled "Does the World Bank Cause Moral Hazard and Political Business Cycles?" authored by Axel Dreher of Mannheim University, he resp... ...ivate sector and the economy is at the mercy of external shocks and fickle business cycles. Only the state can counter these economically detrimenta... ...time, these economies are dependent on and subject to the vicissitudes of business cycles. They are capital sensitive, inherently unstable and with... ...titution of an entrepreneurial rather than a bureaucratic type of management. These cycles of initiative-consolidation-new initiative-revolution- co... ...s, countries can (and do) appeal directly to consumers (ads targeted at tourists or road shows aimed at investors). They present themselves and wha... ...dia and with specialized publications. Press conferences, presentations, contests, road shows, one-on-one meetings or briefings, seminars, lobbying... ... pitch and enliven the sales process. They are as indispensable in mass-attendance road shows and in retail marketing (e.g., of tourism packages) a... ...distance between two rails in a modern railroad is identical to the width of Roman roads (equal to the backside of two horses). i. Predictive (pr... ...ak? Should a robot abstain from obeying human commands pertaining to crossing busy roads or driving sports cars? Which level of risk should trigger...

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...ur and you can fire away your questions.‖ Our drive, mainly on dirt roads, passed the makeshift slum houses--some with driftwood roofs, some w... ...lossoms that visitors prized, they would make their way down the potholed roadway, past the garbage dump with its crown of vultures and into the dan... ...s of Kolkata are entering the 1970s. Their new airport, and the four lane road that passes where the old city dump had been, makes you realize that ... ...streets the night before. The tin roofed wooden shacks that lined the main roads are disappearing. The city now produces more electrical power than i... ...change to occur we must create the path that will become the yellow brick road as people recognize that they can no longer be cowardly lions.‖ 39 ... ...so concerned with our excess population as a huge barrier to breaking the cycles of poverty and illiteracy. We told her about the experiences India a...