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Lights of Descending & Realities of Meaning, Part (29) of th holy qur'an

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...For any positive integer n, let (n) be the Euler function, and am(n) denotes the Smarandache m-th power residues function of n. The main purpose of this paper is using the elementary method to study the number of the solutions of the equation (n) = am(n), and give all solutions for this equation....

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...eger n, let φ(n) be the Euler function, and am(n) denotes the Smarandachem th power residues function of n. The main purpose of this paperisusingtheel... ... α k k denotes the factoriza tion ofn into prime powers. The Smarandachem th power residues function a m (n)aredefinedas a m (n) =p β 1 1 p β 2 2 ···p... ...ymptoticformula. §1. Introduction For any positive integern andk ≥ 2, thek th power complement function b k (n) of n is the smallest positive integer ... ...n) of n is the smallest positive integer such that nb k (n) is a perfect k th power. In problem 29 of reference [1], Professor F.Smarandache asked us ... ...Journal,2004,14: 66 69. [5] Liu Hongyan and Lou Yuanbing. A Note on the 29 th Smarandache’s problem. SmarandacheNotionsJournal,2004,14: 156 158. AN... ... and analytic methods to study the mean value properties of the additive k th power complements, and givesomeinterestingasymptoticformulaeforit. Keywo... ... k (n) is the smallest positive integer such that nb k (n) is a complete k th power, see problem 29 of [1]. Similar to the Smarandache k th power comp... ... of [1]. Similar to the Smarandache k th power complements, the additive k th power complements a k (n) is defined as follows: a k (n) is the smallest ... ...n) is the smallest nonnegative integer such that a k (n) +n is a perfect k th power. For example, if k = 2, we have the additive square complements se...

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...t matter where, if I be still the same, And what I should be, all but less then he Whom Thunder hath made greater? Here at least We shall be free; th’ Almighty hath not built Here for his envy, will not drive us hence: (260) Here we may reign secure, and in my choyce To reign is worth ambition though in Hell: Better to reign in Hell, then serve in Heav’n. But where...

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...On the Smarandache function and square complements 1 Zhang Wenpeng , Xu Zhefeng On the integer part of the k -th root of a positive integer 5 Zhang Tianping , Ma Yuankui Smarandache “Chopped” NN and N + 1N¡1 9 Jason Earls The 57 -th Smarandache’s problem II 13 Liu Huaning , Gao Jing Perfect Powers in Smarandache n - Expre...

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.... Fu : An equation involving the Smarandache function 83 W. Zhu : The relationship between Sp(n) and Sp(kn) 87 X. Du : On the integer part of the M-th root and the largest M-th power not exceeding N 91 J. Earls : On the ten's complement factorial Smarandache function 95 B. Shi : The hybrid mean value of the Smarandache function and the Mangoldt function 98 H. Ibstedt ...

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...view. 15 1 Kabbalah c hronIcles The Rambam (Maimonides), a great 12 th century Kab- - balist, wrote that thousands of years ago, when humanity... ...pproach to the study of Kabbalah. The Ari was the greatest Kabbalist in 16 th century Safed, a town near Rashbi’s village, Meron. In the Ari’s time... ... b eg Inners - p art o ne As the capital of Kabbalist studies in the 16 th century, Safed attracted many practitioners from near and far. Ad- - d... ...pearance of desires at the fifth level—the spiritual—began back in the 16 th century, as was described by the Holy Ari. But today we are witnessing... ...In fact, there is such a gauge—it is known as “the sixth sense.” The s ix Th s ense Let’s begin this section with a little fantasy: You are in a dar... ...ual awakening. For centuries, beginning with the Ari, who lived in the 16 th century, Kabbalists have been writing that the time The Book of Zohar ... ...riting that the time The Book of Zohar referred to was the end of the 20 th century. They called it “the last generation.” They did not mean that w... ...k of Zohar had already described the importance of society. Since the 20 th century, it has become evident that we depend on each other for physic... ..., an area where others must not interfere. The e go’s i nevi Ta BLe Dea Th The love of liberty is the love of others; the love of power is the lov...

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...balah we would not be abele to survive. They pointed to the end of the 20 th century as the time when its wisdom would appear to all. They explaine... ...ts,” 5 said Kabbalist Rabbi Yitzhak Yehuda of Komarno as early as the 19 th century. Following him, other Kabbalists recommended teaching this kn... ...of years after the writing of The Zohar, the greatest Kabbalist of the 20 th century, Baal HaSulam, wrote the Sulam [Ladder] commentary on The Zoha... ...ediately after its completion, The Book of Zohar was concealed. In the 16 th century, some 1,400 years later, the Ari appeared in zephath. * The A... ...etly among Kabbalists from generation to generation until early in the 14 th century. At that time, the widow of Rabbi Moshe De Leon inherited the ... ... r aA Below is a quote from the Ari’s The Tree of Life, written in the 16 th century. These are the words of Rav chaim Vital in his introduction to... ...eemed to us a miracle will become a clear and straightforward rule. f oUr Th rUle—No ThING defea TS The WIll We all know what efforts are required of... ... is only for man. Preface to The Book of zohar 215 aC ro Ny MS USed IN Th IS aPP e Nd Ix ABYA – Atzilut, Beria, Yetzira, Assiya AK – Adam Kad... ...acob.” Abraham 223 TheSe are The GeNera TIoNS of The heaveN aNd The ear Th WheN They Were Crea Ted Lech Lecha [Go f orth] 225) “Speak righteousness...

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...el notation, with cell “B6” meaning the cell in the second column and the 6 th row. In CSV, this would refer to the 2 nd filed position on the 6 th ... ...el notation, with cell “B6” meaning the cell in the second column and the 6 th row. In CSV, this would refer to the 2 nd filed position on the 6 th ... ...el notation, with cell “B6” meaning the cell in the second column and the 6 th row. In CSV, this would refer to the 2 nd filed position on the 6 th ... ...el notation, with cell “B6” meaning the cell in the second column and the 6 th row. In CSV, this would refer to the 2 nd filed position on the 6 th ... ...el notation, with cell “B6” meaning the cell in the second column and the 6 th row. In CSV, this would refer to the 2 nd filed position on the 6 th ... ...otation, with cell “B6” meaning the 28 cell in the second column and the 6 th row. In CSV, this would refer to the 2 nd filed position on the 6 th ...

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...veral indulgences to which at that season we are all exposed, I chose for my text the 4 th , 5 th , 6 th , and 7 th verses of the fifth chapter of 1... ...l continue, and their seed shall be established before thee.” In like manner, in the 65 th and 66 th chapters of Isaiah, we find new heavens and n... ...e completeness of his person. Though the substance of the personal prophecy be in the 6 th and 7 th verses of the ninth chapter, it will be necessa... ...de and undigested, that famous proposition of the most learned Theodoret? who in the 39 th question upon Genesis, commenting on these words,—“The Lo... ... Which limitation is expressly written in the decree of the council of Trent, Session 4 th : whereby it is commanded that no one shall dare to inter... ... Almost in the same tone speaks St. Irenæus, and it is easy to see in the whole of his 5 th book against heresies, when he touches this question, ho... ...oks upon the promises, and Apollinarius, against whom St. Epiphanius wrote under the 77 th heresy. These Millenarians knew well from the scriptures... ...isonment of the devil spoken of with such clearness and circumstantial detail in the 20 th chapter of the Apocalypse, hath yet taken place, it seem... ...ents from that determinate place and time to which God hath appointed them. Read the 24 th chapter of Isaiah, which altogether bears the closest re...

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... of this ever substantiated?” “Not one iota. Graz expelled all its Jews in the 15 th century and had remained Judenrein – cleansed of Jews – unti... ...haracterized Jewish-owned inns in obscure Stetls at the turn of the century. The 19 th century, that is. The owner was a classmate of my uncle’s,... ... us without a further murmur. “When the city of Graz expelled the Jews in the 15 th century, tradition in my family has it that we moved to Pola... ...nizing me shrewdly. I ignore him and continue: “Finally, at the end of the 18 th century, one of my ancestors converted to Catholicism. That’... ...d and so, suddenly, did I. “What did they want to know?” **** “Does April 20 th mean anything to you?” – barked Grease Ball from his cranny ... ...ning glance but it was too late. I shook my head: “Nothing.” **** “April 20 th ?” – mused Dan – “That’s 204 or 420, depending on the country.... ... again. But they always came back to the same, inexorable query: the date, April 20 th . Was it on the disk? Did I hear anyone mentioning it? Does it... ...umphed. “Sorry, I got carried away.” – apologized Dan half-heartedly – “April 20 th .” “Et tu, Dan?” – I groaned “204 or 420, don’t you unde... ...she repeated – “The Germans, like all Europeans, place the day before the month: 20 th April, not April 20 th .” She assembled the drained mugs a...

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...he synaptic efficacy of the synapse along the directed axonal edge from the i th neuron in the input neuron field F X to the j th neuron in the f... ...in the input neuron field F X to the j th neuron in the field F Y . The ij th synaptic junction is excitatory, if m ij > 0, inhibitory if m ij ... ...these women have not even completed their primary education i.e. even up to 5 th standard. Some have never entered school. The rural setup in India... ... school and 16 of them had studied primary classes from 1 st standard to 5 th standard, 25 had studied from the class 6 th to 8 th standard, o... ... had studied from the class 6 th to 8 th standard, only one has studied 12 th standard and only one had undergone a nursing course. It is impo... ... for she wanted her son to get good marks in plus two who was just in his 11 th std. 40. The profession of majority of the HIV/AIDS woman patie... ...e children the only means is they must educate their female children up to 12 th standard a stipend money as incentive will be paid to their parent... ... say Nil Others 10 years 3. Did not say Nil Others 13 years 4. 46 15 8 TH Husband 8 years 5. 35 25 5 TH Husband Less than a year 6. 21 ... ... 280 14. Does not know 13 Nil Husband (dead) 2 years 15. 31 12+ 8 TH Husband 16. 35 15 NIL Husband (dead) 17. 25 19 3 RD Due to...

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...BBREVIATIONS Av. = Avesta. &c. (after a reference) = I and frequently in th~ Jam~ 'Vo/ume.' (For instance, on page 22, col. I, line 17 the I &c.' m... ...grims, 6, 175 n. Abu Laheb, uncle of Mohammed 6, xxix; Surah A.L. on6 of th~ earliest parts of the <l!!r'an, 6, Ix ; 9, 343; will broil in hell, h... ... army in the war against Mohammed 6, xxxv-xxxvii, 164 n. j negotiate~ w~th Mohammed and 'Abbas, 6, xli sq. Abu Talib, uncle and protector 01 Moh... ...e Agni their mouth, or their tongue, 46 j 8~; ViJvakarman in\'Oked with th~ A., 26, 123 sq.; and Ailgiras worshipped, 42, 191; and Ailgiras conte...

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...664-1675) and Guru Gobind Singh (1675-1708). Before breathing last on 7 th October 1708, Guru Gobind Singh, the Tenth Master, put an end to the ... ...ivine Words of the Sikh Gurus and also of Hindu and Muslim saints from 12 th to 17 th centuries. The main significance of “Gurbaani” enshrined in... ...h) in the centre of inner sanctuary of the “Darbaar Sahib, Amritsar” on 16 th August 1604. [It is understood that in the same year, English transla... ...lso begun]. Subsequently, with the demise of Guru Gobind 17 Singh on 7 th October 1708, “Pothi Sahib/Granth Sahib” was ordained to be “Guru Gra... ...ned that they are in fact comparatively modern, compiled as late as the 16 th century, when explorers were beginning to discover that the globe upo...

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...wish you joy and fulfillment in your study, and rapid spiritual growth. 7 Th e Tr e e o f l i f e – a Po e m Behold that before the emanations were e... ... to understand this common idiom of theirs. ThrEE KindS of ConCEAlmEnT of Th E WiSdom There are three parts to the secrets of the Torah. Each part ha... ...ed above. Yet I will keep the other two portions as I am commanded. 21 Th e e s s e n C e o f T h e w i s d o m o f Ka b b a l a h Before I go abo... ...he degrees from Above downwards. And because they come in an order of 23 Th e e s s e n C e o f T h e w i s d o m o f Ka b b a l a h attainment, one... ...ted to that word, as is known to anyone who examines books of wisdom. 25 Th e e s s e n C e o f T h e w i s d o m o f Ka b b a l a h Thus, one shoul... ...t is known from the theory of nominalism that the languages have been 27 Th e e s s e n C e o f T h e w i s d o m o f Ka b b a l a h disrupted in th... ...s used such lowly appellations to express such exalted, holy notions. 29 Th e e s s e n C e o f T h e w i s d o m o f Ka b b a l a h Yet, you will f... ...vide an accurate definition for the eyes of their fellow observers. 31 Th e Te a C h i n g o f T h e Ka b b a l a h a n d i T s e s s e n C e Wh... ... Mitzvot were only given to cleanse people.” Thus, there is a purpose 33 Th e Te a C h i n g o f T h e Ka b b a l a h a n d i T s e s s e n C e beyo...

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...Matsuo Bashõ This haiku appeared in the Nipponese literature in the 17 th century.In Japan, there are currently over ten haiku associations,and o... ...criptive poem and the one cultivated by the poet. Beginning with the 9 th haiku, the poet starts to share with us some of his thoughts, but he do...

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...n all those times, but truly suffered continual disquietudes and afflictions. 4 th . That by the coming of Messiah their ruin and dispersion was ent... ...it be to the end of these wonders? And the angel, who, as is declared in the 14 th verse of the tenth chapter, had been sent express to instruct hi... ...re terminated his days. In the time of Antiochus, who began to reign in the 137 th year of the kingdom of the Greeks (1 Mac. i. 11.) Babylon was sti... ... most clear and vivid allusion to two passages of scripture. The first is, the 9 th verse of the thirty-seventh chapter of Genesis, or the prophetic... ...h himself. The second passage to which St. John seemeth to allude, is in the 17 th verse of the twenty-eighth chapter of Exodus, where is described... ...ed shall be the substance thereof.” Isaiah vi. 13. The same is declared in the 8 th verse of the sixty-fifth chapter. It appears then very probable... ...not forget, Sir, that indubitable truth which we have already set forth in the 4 th section; to wit, that here it neither is nor can be a natural mo... ...pears to be that great and unheard of prodigy, whereof Isaiah speaketh in the 7 th verse of the sixty-sixth chapter. “Before she travailed, she bro... ...d, and all the rest of that salutation which is written and announced in the 118 th Psalm, whence these words are taken. Israel being converted, and...

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...ndle-lit chambers, writing magical scrip- tures. Well, until the end of the 20 th century, Kabbalah was indeed kept secret. The clandestine approach... ...t- ten approximately 2,000 years ago. It states that toward the end of the 20 th century, humankind’s egoism will soar to unprecedented intensity. ... ...re, the more we want, the emptier we feel. Therefore, since the end of the 20 th century, hu- manity has been experiencing its worst emptiness ever.... ... the rest within your own heart. 40 KABBALAH REVEALED SPRINGBOARD FOR GROW TH Let’s start where we ended the first chapter. We said that things c... ... in the previous chapter, The Book of Zohar writes that at the end of the 20 th century a new desire will appear. This new desire is not just anoth... .... Actually, the appearance of desires at the fifth level began back in the 16 th century, as was described by Kab- balist Isaac Luria (the Ari), but... ...ies, beginning with the Ari, author of the Tree of Life, who lived in the 16 th century, Kabbalists have been writing that the time The Zohar was ... ...e been writing that the time The Zohar was referring to was the end of the 20 th cen- tury. They called it “the last generation.” They did not mean ... ...years ago, had already described the importance of society. But since the 20 th century, when it became obvious that we 134 KABBALAH REVEALED are...

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... real' present world A wo~ld of illusory delights, where " absorption" in th~ Di~ .. i.s experi­ enced. The decrying of mysticism &8 a wliole~' fashi... ... First, O'11r life with nature. There the relation sways in gloom, benea.th the level of speech. Creatures live and move over against us, but canno... ...s the situation in which the ~orm becomes the work. Through the meet­ ing th~t which confronts me is fulfilled, and enters the world of things, ther... ...t a progressive development of the spiritual life. By this talk,guilt of th~ real sin of speech against the spirit is undoubtedly incurred; for tha... ...lerably well-ordered and to some extent harmonious structure, in which, ~th the manifold help of men's brains and hands, the process of affairs is ... ... life. Institutions yield no public life, and feelings no personal life. Th~ institutions yield no public life is realised by increasing numbers, r... ...en. Living mutual relation inoludes feelings, but does not originate with th~. The oommunity is built up out of living mutual relation, but the buil... ...he stable structures of history. This dogma. allows you in its game only th.e choice to observe the rules or to retire: but the man who is realisin... ...ou that by its na ure cannot become It. o II / V '* Men have addressed th' eternal Thou with many names. In singing of . who was thus named they ...

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...lists. The first publication of this book was by Rabbi Moshe de Leon, in the 13 th century in Spain. The second period of the development of Kabbala... ...or two hundred years. In the great Hassidut period (1750 – to the end of the 19 th century), almost every great rabbi was a Kabbalist. Kabbalists a... ...occo, Iraq, Yemen and several other countries. Then, at the beginning of the 20 th century, interest in Kabbalah waned until it almost completely d... ...orce behind the development of the generations. That era continued until the 16 th century, when the Ari appeared and wrote that from his generatio... ...housands of years it was prohibited to disseminate Kabbalah. Only during the 20 th century, when the books of the Kabbalist Rabbi Yehuda Ashlag wer... ... the works of the Ari, Rabbi Y. Luria, a Kabbalist who lived in Safed in the 16 th century, and finally, the works of Rabbi Yehuda Ashlag (the Baal... ...ks of Rabbi Yehuda Ashlag (the Baal HaSulam), who lived in the middle of the 20 th century. These three Kabbalists are one and the same soul which ... ...l, understood the Ari properly. The Ari, Rabbi Isaac Luria, lived in the mid 16 th century and taught in Safed. It is known that Haim Vital undertoo...