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...acher 1 AMARNATH MURTHY S.E.(E&T) WELL LOGGING SERVICES OIL AND NATURAL GAS CORPORATION LTD CHANDKHEDA AHMEDABAD GUJARAT- 380005 INDIA ... ...licative Sequence ………………… 101 2.11 Decomposition of the Divisors of A Natural Number Into Pairwise Co- Prime Sets ………………… 103 2.12 On the Divi... ... fractions are fractions where the numerator is 1 and the denominator is a natural number. Our first point of interest is in determining all sets of ... ...eciprocal partition of unity for n (SRRPS(n)) is the set of all sets of n natural numbers such that the sum of the reciprocals is 1. More formally, ... ...two steps. Proposition A For every n, there exists a set of n distinct natural numbers, the sum of whose reciprocals is 1. Proof of propositio... ...andache Partition Type and Other Sequences”, Bulletin of Pure and Applied Sciences, Vol. 16 E(No. 2) 1997, page 240. 12. Amarnath Murthy, “On The ...

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... The sum of reciprocals of Zt(n) function is asymptotically equal to the natural logarithm of n: = » » + » N 1 n 0.739 b and 0.9743 a where b ln... ... 1 1 1 3 ) ( n n n n n n a n n Zt p and as known the sum of reciprocals of natural numbers diverges. Conjecture 1.1.2 K 8737 . 0 ) ( 1 » » = a ... ...tillo, Smarandache continued fractions, Bulletin of pure and applied Sciences, Vol. 17E, No.1, 1998, p. 149-151 [6] F. Russo, Some results about... ...tillo, Smarandache continued fractions, Bulletin of pure and applied Sciences, Vol. 17E, No.1, 1998, p. 149-151 [4] F. Russo, Some results about... ... sequences. The greatest discovery of all humankind may well have been the natural numbers. For many past aeons, philosophers and mathematicians have ... ...y past aeons, philosophers and mathematicians have studied the sequence of natural numbers, uncovering startling and mystifying truths. Mathematics, i... ...ering startling and mystifying truths. Mathematics, itself, began with the natural numbers and the study of their relationships. The demand for soluti... ...tillo, Smarandache continued fractions, Bulletin of pure and applied Sciences, Vol. 17E, No.1, 1998, p. 149-151 [3] F. Russo, Some results about... ....edu/~smarandache/russo3.htm [3] M. Bencze, Bulletin of Pure and Applied Sciences. Vol. 17 E(No. 1) 1998; p. 55-62 [4] http://www.gallup...

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...ly: object literature! 'The flying of a bird', for example, represents a "natural poem", that is not necessary to write down, being more palpable and... ... National Science Foundation grant proposal for Interdisciplinary Logical Sciences. 1.2. Neutrosophy, a New Branch of Philosophy A) Etymology: N... ... of it. Husserl's phenomenological epoch‚ is commuting not only from natural beliefs to an intellectual reflexion, but backwards as well. It i... ...ocre level of their times". Hence, any progress in arts, literature, and sciences lead to the society's decadence. "Man is born free; and anyw... ...omnium contra omnes (Lat.) (the war of everybody versus everybody), as a "natural status" (Hobbes from Plaut). And Spinoza oppositely with homo homi... ...n stay one near another, philosophers' not" (Schopenhauer). The absurd is natural, so the un-natural. 57 [See the lack of sense of the sense.] ... ...t you have you get bored of it. Man must live in accordance with the natural world around him (Pueblo Indian philosophy). While genius should ... ...TROSOPHIC ANTHROPOLOGY. And so on: neutrosology of the values, histories, sciences, arts. Philosophy reflects the existent from the non-existen... ...7 (which is 100% unstable) He gives Orientation Tables for Physical Sciences and Mechanics (Rugina 1989), for the Theory of Probability, for w...

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...sult is expected to have many applications, as well in physics as in other sciences, including biology [4]. It has been used, in particular, to sugges... ...ce (g=0) as two different areas of the same manifold. A space of g 0 is a natural general- ization of the basic space-time of the General Theory of R... ...nclude from this brief study that instant displace- ments of particles are naturally permitted in the space-time of the General Theory of Relativity. ... ... 3.1 The Machian Principle and Eddington-Dirac Large Numbers Coincidence A natural action associated with the invariant interval in Phase-Space given ... ...ing on a fundamental particle given by(mg) bound =m P (c 2 /L P )=m 2 P in natural units of =c=1. The Eddington-Dirac large numbers coincidence (and ... ...egrees of freedom than a relativistic top in ordinary spacetimes [46] and, naturally, to study the modifed Nambu- Poisson dynamics of p-branes [49] as... ... Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Pushchino, Moscow Region, 142290, Russia E-mail: shnoll@iteb.ru †... ...cow, 119992, Russia ‡ Institute of Biochemical Physics, Russian Academy of Sciences, Moscow, Russia As shown in our previous experiments fne structure... ...F. There is no speed barrier in the Universe. Bulletin of Pure and Applied Sciences, Delhi, India, v. 17D (Physics), No. 1, 1998, 61. 6. Rincon P. Tel...

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...eneral prescription of Eddington. Clearly, the correct form ofC(D(r)) must naturally yield the Droste/Weyl/(Hilbert) solution, as well as the true Sch... ...nt to his setting up of the meaning of the theory — all the postulates are naturally contained in the geometry of a four-dimensional pseudo- Riemannia... ...feld only in transitions of the electrons between their stationary orbits. Naturally, when an atom is in a stable state, all its elec- trons are locat... ...x for any V n have an ordinary geometric meaning as stationary curvatures. Naturally, the Riemannian curvatureV n in a two- dimensional direction is d... ...arallel lines a distance d apart. The problem was frst posed by the French naturalist Buffon in 1733. For l<d the probability is P = 1 2π Z 2π 0 dθ l|... ...., Bencze M. Smarandache paradoxist geometry. Bulletin of Pure and Applied Sciences, 1998, v. 17E, No. 1, 123–124. See also Smarandache Notions, book ... .... Cahill and Christopher M. Klinger School of Chemistry, Physics and Earth Sciences, Flinders University, GPO Box 2100, Adelaide 5001, Australia E-mai...

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...ve spirit, and ultimately for beauty in a variety of its forms—poetic and natural (Sappho), spiritual (Jesus), scientific and artistic (da Vinci), l... ...ictate to me,” I said, hoping to rouse his impulse. His silence, at first natural enough, went on, and I became embarrassed by his stare at the book... ...ry- ing my cloak, seemed surprised at my singing. P A note from Rhodopis—naturally, I was astonished. Her note concerned Kleis: could we talk toget... ...Quick as a flash, I slapped him. He eyed me grimly, then turned and left. Naturally, Alcaeus refused to tell me what the visit was about. All this i... ...nderers. She, the daily wanderer, was less a wanderer than any of us: her natural re- sources were always at her spiritual command. Kissing me good ... ... best to enlighten me on scientific points since I have never studied the sciences, a brief elementary course, I might call it. I found the two rema...

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...ging document describes a desired state for the island, where the question of development is secondary to the promise to malama (protect and nurture) natural and cultural resources. Utilizing a community- based, holistic approach, “Molokai: Future of a Hawaiian Island” identifies critical needs and outlines specific steps to achieve change and sustainability....

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...ional cultural properties of on-going cultural significance; the criteria, standards, and guidelines currently utilized by the Department of Land and Natural Resources-State Historic Preservation Division (DLNR-SHPD) for the evaluation and documentation of cultural sites (cf. Title 13, Sub-Title 13:275-8; 276:5 — Draft Dec. 21, 2001); and the November 1997 guidelines for c...

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... Most Diverse State -- 38 Local Economy -- 40 Hawai‘i’s Ties to the APEC Economies -- 42 A History of Innovation -- 44 Astronomy, and Ocean and Earth sciences -- 48 Turning Science Into Practical Inventions -- 56 Winners of the Hawai‘i Business Innovation Showcase -- 60 Breakthroughs in Health and Medicine -- 68 Hawai‘I Diversity Ideal for Medical Research -- 74 Perfect Pl...

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...onomy 40 Hawai‘i’s Ties to the APEC Economies 42 A History of Innovation NATURAL SCIENCE 44 Astronomy, and Ocean and Earth sciences 48 Turning Scie... ...A History of Innovation NATURAL SCIENCE 44 Astronomy, and Ocean and Earth sciences 48 Turning Science Into Practical Inventions TABLE OF CONTENTS CO... ...BUSINESS 56 Winners of the Hawai‘i Business Innovation Showcase HEALTH SCIENCES 60 Breakthroughs in Health and Medicine 68 Hawai‘I Diversity Idea... ...Fossil Fuel Hawai‘i, The CleanTech Paradise Hawai‘i, blessed with abundant natural energy sources, is the center of rapid cleantech development and ... ...Fossil Fuel Hawai‘i, The CleanTech Paradise Hawai‘i, blessed with abundant natural energy sources, is the center of rapid cleantech development and ... ... Dave Kane, VP dkane@trexhawaii.com (808) 245-6465, ext. 15 LIFE & HEALTH SCIENCES SKAI Ventures/CBI/Eyegenix www.skaiventures.com INVESTMENT CONTACT... ...rism CONTACT: energy@dbedt.hawaii.gov 808-587-3807 SKY, OCEAN & EARTH SCIENCES University of Hawai‘i For inquiries regarding astronomy, ocean an... ...Asia Pacifc Economic Cooperation (APEC). Hawai‘i is world-renowned for our natural beauty and warm hospitality. We would like to take this opportuni... ...oductive stay in our islands. Hawaii’s uniqueness lies not only in its natural beauty but its multi-cultural heritage and special connection to A...

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...eriod of five years and in the tropics of Northern Australia for five years. Recipient of various awards and a Fellow of the Academy of Technological Sciences and Engineering and of the Australian Institute of Agricultural Science and Technology, he has authored seven books and more than 100 journal papers. Professor Charan Chantalakhana was born in 1936 at Songkhla, Th...

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...orage and fodder in food crops Forage under plantation crops Forage and fodder under forest Forage and fodder on fallow land Forage and fodder in natural grassland Forage and fodder on critical land Yield of forage and fodder Potential yield and lopping yield Sustainable yield Predicting potential yield Means and ways of increasing yield Land preparation and pla...

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... putting it down in writing. Hereby, too, I shall indulge the inclination so natural in old men, to be talking of themselves and their own past action... ...lities for study. He was of opinion that it was improper, and that they were naturally unequal to it. I took the contrary side, perhaps a little for d... ...to it. I took the contrary side, perhaps a little for dispute’s sake. He was naturally more eloquent, had a ready plenty of words; and sometimes, as I... ...and, leaving his books, which were a pretty col lection of mathematicks and natural philosophy, to come with mine and me to New York, where he propos... ...Stephen Potts, a young countryman of full age, bred to the same, of uncommon natural parts, and great wit and humor, but a little idle. These he had a... ...cause to repent my silence; for my friend M. le Roy, of the Royal Academy of Sciences, took up my cause and refuted him; my book was translated into t...