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...rance had to be where Tuthmosis’ granite Dream Stela was. During the period of 1427-1401 BC, Tuthmosis had placed the Dream Stela in front of the Sp... ...e the second chamber…perhaps where the mysterious Pharom lies.” Rai Aren & Tavius E. 180 This time it was a single door, also of the same bronze... ...e light- house was built by Ptolemy Soter, Alexander the Great’s commander, at around…290 BC, I believe. The lighthouse was completely destroyed by e...

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...79 bhu rMg mwieAw bhu ............ 179 pRwxI jwxY iehu qnu ............. 180 qau ikrpw qy mwrgu ............ 180 Awn rsw jyqy qY cwKy............ ... ...80 Awn rsw jyqy qY cwKy............ 180 mnu mMdru qnu swjI ............. 180 rYix idnsu rhY iek ............. 181 qUM myrw sKw qUMhI myrw ........... ...drsnu Bytq pwp ............... 915 isKhu sbid ipAwrho ........... 916 mn bc /im rwm nwmu ........... 916 mhlw 3 AnMd AnMdu BieAw myrI ............... ...ir Dnu soeI suhylw ] pRB ikrpw qy swDsMig mylw ]1] rhwau dUjw ]12]81] 180 gauVI guAwryrI mhlw 5 ] pRwxI jwxY iehu qnu myrw ] bhuir bhuir auAwhU... ...vK nsy ]1] swDsMig kIrqn Plu pwieAw ] jm kw mwrgu idRsit n AwieAw ]2] mn bc /m goivMd ADwru ] qw qy CuitE ibKu sMswru ]3] kir ikrpw pRiB kIno Apnw... ...m hY insqwr ]2] inrml gux gwvhu inq nIq ] geI ibAwiD aubry jn mIq ]3] mn bc /m pRBu Apnw iDAweI ] nwnk dws qyrI srxweI ]4]102]171] gauVI mhlw 5 ]... ...y ibnu aubr n hoaU ] XwhU qrn qwrn smrwQw ] rwiK lyhu inrgun nrnwQw ] mn bc /m ijh Awip jnweI ] nwnk iqh miq pRgtI AweI ]43] sloku ] rosu n kwhU ... ...hwau ] jb kCu pwvY qb grbu krqu hY ] mwieAw geI qb rovnu lgqu hY ]1] mn bc /m rs ksih luBwnw ] ibnis gieAw jwie khUM smwnw ]2] kih rivdws bwjI jg... ...au qh BY nhI jh Bau qh hir nwih ] kihE kbIr ibcwir kY sMq sunhu mn mwih ]180] kbIr ijnhu ikCU jwinAw nhI iqn suK nId ibhwie ] hmhu ju bUJw bUJnw p...

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...a decima tertia de porestate papae (per autorent locupletata) (1519). WA 2, 180–240. 6 Trossulorum, originally a designation for Roman knights who ... ...ourage during the persecution under the Roman emperor, Marcus Aurelius (161–180), was extolled by Eusebius. CL 1, 462. in baptism returns or remain... ...ed as binding, as I also said above in discussing the sacrament of baptism. 180 Thus you may learn, from this one question of marriage, how wretched... ...Cf. WA 10 II , 285. 179 An untranslatable pun: non iustitia sed inscitia. 180 Cf. pp. 80–81. 181 Cf. p. 98 n. 169. impediments is intended to ...

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...o not want to give the impression THE POWER IN INTEGRITY that I changed 180 degrees overnight. A lot of these 99 changes are like skills that must... ...res and attitudes that keep you moving on your chosen THE POWER IN YOU 180 path. From your soul comes the reason for being. The power of your min...

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....179 bhu rMg mwieAw bhu .............179 pRwxI jwxY iehu qnu...............180 qau ikrpw qy mwrgu .............180 Awn rsw jyqy qY cwKy.............. .....180 Awn rsw jyqy qY cwKy............180 mnu mMdru qnu swjI ..............180 rYix idnsu rhY iek.............. 181 qUM myrw sKw qUMhI myrw.......... ...5 drsnu Bytq pwp.................915 isKhu sbid ipAwrho............916 mn bc k®im rwm nwmu...........916 mhlw 3 AnMd Anµdu BieAw myrI............... ... ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔ 180 ÓÓÓÓÓÓÓÓÓÓÓÓÓÓÓ ÓÓÓÓÓÓÓÓÓÓÓÓÓÓÓ mhlw 5 ] pRwxI jwxY iehu qnu myrw ... ...ivK nsy ]1] swDsMig kIrqn Plu pwieAw ] jm kw mwrgu idRsit n AwieAw ]2] mn bc k®m goivMd ADwru ] qw qy CuitE ibKu sMswru ]3] kir ikrpw pRiB kIno ... ...im hY insqwr ]2] inrml gux gwvhu inq nIq ] geI ibAwiD aubry jn mIq ]3] mn bc k®m pRBu Apnw iDAweI ] nwnk dws qyrI srxweI ]4]102] 171] gauVI mhlw... ...py ibnu aubr n hoaU ] XwhU qrn qwrn smrwQw ] rwiK lyhu inrgun nrnwQw ] mn bc k®m ijh Awip jnweI ] nwnk iqh miq pRgtI AweI ]43] sloku ] rosu n kw... ... rhwau ] jb kCu pwvY qb grbu krqu hY ] mwieAw geI qb rovnu lgqu hY ]1] mn bc k®m rs ksih luBwnw ] ibnis gieAw jwie khUM smwnw ]2] kih rivdws bwjI ... ...Bau qh BY nhI jh Bau qh hir nwih ] kihE kbIr ibcwir kY sMq sunhu mn mwih ]180] kbIr ijnhu ikCU jwinAw nhI iqn suK nId ibhwie ] hmhu ju bUJw bUJn...

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...main completely abstruse to us. Q: The Zohar was written in the second century BC, but was first discovered in approximately the 13th century. Why di... ...at the mind will not do, time will. T H E K A B B A L A H E X P E R I E N C E 180 C H A N G I N G S I T UAT I O N S Q: How do situations change? For ... ...ns ........................................................................... 180 On Whom Do We Depend? ................................................ ... Do We Depend? ............................................................... 180 Where’s the “I”? .....................................................

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...The Republic is a Socratic dialogue written by Plato around 380 BC concerning the definition of justice and the order and character of the just city-state and the just man....

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...ŭ via opinio, aŭ kiuj argumentoj de privatuloj povus elteni kontraŭ ili?” 180 493 Parto Ses “Neniu, laŭ mia opinio,” li diris. 493 “Vi pravas,” mi di...

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...E ATOM AND MATHEMATICS 57 INTRODUCTION 57 THE EARLY STORY OF MATHEMATICS 58 THE MATHEMATICS OF THE CLASSIC GREEK ERA 60 PYTHAGORAS (560 - 480 BC) - GREEK PHILOSOPHER AND MATHEMATICIAN. 61 EUCLID (325 - 270 BC) - GREEK MATHEMATICIAN 61 APOLLONIUS (262 - 190 BC) - GREEK MATHEMATICIAN 61 ERATOSTHENES (276 - 196 BC) - GREEK ASTRONOMER AND MATHEMATICIAN 62 C...

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...NTS IN THE SCIENCES 7 ABSTRACT ON THE ATOM AND ITS ENERGY 11 GREAT IDEAS THAT REVOLUTIONIZED OUR SCIENTIFIC WORLD 16 DEMOCRITUS (470 - 380 BC) Greek Philosopher 16 NICHOLAS COPERNICUS (1473 - 1543) Polish Astronomer 17 GALILEO GALILEI (1564 - 1642) Italian Mathematician and Astronomer 18 RENE DESCARTES (1596 - 1650) French Mathematician and Philosopher. 19 I...

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... is described in 800 pages, depicted with some 300 pictures and illustrations. This history of the atom and chemistry discusses the lives of about 180 chemists and physicists, through the evolution of several stages of development, representing the most important scientific accomplishments. The most significant discoveries in chemistry and physics are presented chron...

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...TY 8 THE MIGRATORY AND THE SEDENTARY MAN 9 ABSTRACT ON THE ATOM AND ITS ENERGY 11 THE CLASSIC GREEK AND ROMAN PHILOSOPHERS 17 EMPEDOCLES (492-432 BC) Greek Philosopher 20 Proposed the four basic elements: earth, water, air and fire. DEMOCRITUS (470-380 BC) Greek Philosopher 22 The founder of the atomic theory of antiquity. CLAUDIUS PTOLEMY (100-170) Greek Astron...

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...0 ;C 0 be the feet of the altitudes of an acute-angled triangle ABC (A 0 2 BC, B 0 2 AC, C 0 2 AB). Let a 0 ;b 0 ;b 0 denote the sides of the podaire ... ...lds true (see Theorem 25 in page 112): Let AD and AE be two cevians (D;E2 (BC)) forming angles ; with the sides AB;AC, respectively. If b A 90 an... ... b p By 2 + p z a p Ax p x c p Cz 2 0; or equivalently, y +z x bc aA + z +x y ca bB + x +y z ab cC 2 a p BC + b p CA + c p AB : ... ...CA + c p AB : (3) By using again the A.M.-G.M. inequality, we obtain a p BC + b p CA + c p AB 3 abc ABC 1 3 : Then, on base of (iii), one gets... ...b p CA + c p AB 3 abc ABC 1 3 : Then, on base of (iii), one gets a p BC + b p CA + c p AB 6s : (4) Now (4) and (3) implies that (iv) y +z x ... ...Diophantine equations (Romanian), Lucr. Sem. Di- dactica Mat. 9(1993), 173-180. 41 11 On Heron Triangles, III 1. Let ABC be a triangle with lengths o... ...theory and geometry, edited by M.L. Perez, Xiquan Publ. House (USA), 2000. 180 2. J. S andor, On multiplicatively perfect numbers, JIPAM J. Inequal.... ... a limit for the sequence of primes, Octogon Math. Mag. vol.8(2000), No.1, 180-181. 13. J. S andor, On the identric and logarithmic means, Aequatione... ...diophantine equations (Romanian), Lucr. Semin. Di- dact. Mat. 9(1993), 173-180. 288 12. J. S andor and Gy. Berger, Arithmetical problem in geometry ...

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...the more smaller as the code is smaller. An entity with a code of almost 180 degrees is a long-lived person, while that with a code of exactly 180 ... ...teresting, even if temporary. A modification beyond the maximum value of 180 degrees supposes the change in the way of the entity′s advancement in ... ...urfaces. Möbius strip with a single T torsion of 180 degrees. A.R. T.T. T M.R. M.R. Möbius st... ... M.R. M.R. Möbius strip with three torsions of 180 degrees each. T T A.R. T.T. T M.R. M.R. 12 M.R = material reali... ... 12 M.R = material reality ; A.R. = antimaterial reality ; T.= torsion of 180 degres e arch ; T.T.= the tunnel of time. Furthermore, spatiotemporal...

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...d the path ABC. The tangent vector on the path formed by the segments AB and BC has the same total change in direction θ, but all of this change ... ... A. In particular, the angle sum of a spherical triangle is always greater than 180°. Instead of having a smooth Gauss curvature like the sphere, ... ... turning angles on the pentagon. The two angles at L are positive and add up to 180°, as do the two angles at K. We have then 360° = (turning angl... ...lso passes through a point of the segment AC, or through a point of the segment BC. Probably the most intuitive notion of a point C lying between ... ...lso passes through a point of the segment AC, or through a point of the segment BC. 40 This is Pasch’s axiom, and it states roughly that an s-l... ...′B′ is also congruent to the segment A′′B′′. III-3. On the line a, let AB and BC be two segments which except for B have no point in common. Furth... ...le of a 60° gap. Two more hyperbolic vertices in the gap increased the angle to 180°. A base s-line, 54 therefore, could be found that intersecte... ...-line. To increase one of the 30° gaps on either side of the isolated s-line to 180° or more, three hyperbolic vertices were needed. This idea of sp... ... more, three hyperbolic vertices were needed. This idea of spreading the gap to 180° or more, therefore, seems to need four hyperbolic vertices to g...

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...entem ab alio Quovis curvae pun&o g agatur ZR’ .difiantk S P parallela , Bc aemittatur .$& T perpendicularis ad diltantiam illam SP : vis centripe... ...~6 ut 'T'zt.fk sequalis ipfi Tv ; deinde cape z~lv, quz fit ad vG ut eit ‘BC q@ad. ad T C pad. Et quoniam ex conicis efi $9-v q~d. ad T v G ut ZICg... ...antur tria puntia fit folvitur expeditius. Dentur pun&a B, C, I), Juntias BC, C2) produc ad E, F, ut fit EB ad E Cut SB ad SC, 8~ FC ad FB ut SC ad ... ...ifim EC-CA ad CA-CCL, fei. 23 A ad A,!&~& Fompof& EA ad EA=-kAL feu EL ut BC ad E C+CA feu EB; ideoque, ob knilitudinem triangularurn EA.& EL I, E C... ...D x Cc ad STx Dd. Sed (per coral I. prop. XXXXII~) eit T’C ad TS et AC ad 180, puta fi in coitu pun&orum ZI, d capiantur linearum rationes ultimz E... ...propemodum circulari revolvens, inter apfidem fummam & apfidem imam con- 180- ficiet femper angulum z graduum, feu 103 gr. 55 m. 23 @c. ad centrum... ...poris al-, apfide fumma ad apfidem imam in ellipfi confe&us, fit graduun? 180 ; conficietur angulus YC’, in defcenfu corporis ab T agfide . lus ... ...ngulus YCP inter apfidem fummam 2% apfidem imam in el- lipfi immobili fit 180 gr. erit anguhs YCp inter eafdem apfides, in orbe quem corpus vi centr... ..."+CA" --- proportionali A cub. 64-c defcribit, aequalis aogulo graduum 180 V’ a+=’ Et eodem argu- ,$A”-CA” znenf.ofiviscentripeta fit ut 3 --y...

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...aucracy under King David and his successors in the general period 800- 700 BC. Hebrew religious culture did not exist in isolation, but our chart does... ...quired. On the first level we find Egyptian religion of approximately 1400 BC which became codified and highly organized under King Akhenaton. 11 It w... ...eaucracy under King David and his successors in the general period 800-700 BC. Hebrew religious culture did not exist in isolation, but our chart does... ...ery pervasive influence of Mesopotamian culture. During the period 800-500 BC, a creedal statement of vast 11. Details in Cyril Aldred, Akhenaten, Tha... ...ned and regulated religious organization. 13 In the general period 500-200 BC three major new influences impinged upon the Hebrew system in Palestine ... ... a sixth people, the Tuscarora, joined the League. THE RELIGIOUS DIMENSION 180 nipresent.” The word that comes up time after time in subse- quent wri...

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...s are satisfied. 1. The set G is non-empty. 2. If a, b, c ∈ G then a(bc) = (ab) c. 3. There are exists in G an element e such that (a) For an... ...) + (c + id) = (a + c, i(b + d)) and (a + ib) (c + id) = (ac – bd, i(ad + bc)). The unity of Z[i] is 1. DEFINITION 2.5.5: Consider the set Q[i] =... ...DB ⊂ B and BD ⊂ B; i.e., bd(and db) are in B. with 65 b(d + c) = bd + bc ∀ d, c ∈ D and b ∈ B ((d + c) b = db + cb). If B is simultaneously a S-... ... collection of all right ideals of R. If (A + B) (A + C) (A + D) = A + BC (A + D) + BD (A + C) + DC (A + B) ∗ for all right ideals A, B, C, D in... ...of S-ideals and S-subrings for the ring R = Z 8 × Z 3 × Z 16 × Z 7 . 180 12. For the S-mixed direct product ring R = Z 10 × Z 7 draw the latt... ... the ring contains at least a a. related pair? b. S-related pair? 180. For what group G, the group ring QG (Q the field of rationals) has rel... ...B., Group rings which have trivial subrings, The Math. Edu., Vol. XXXIII, 180-181, (1999). 147. Vasantha Kandasamy W.B., On E-semi group rings, Ca... ... 89, 201 S-Chinese ring, 90, 113 Clean element, 175 ring, 175-176, 180 S-clean ring, 175-176, 180 S-s-clean element, 176, 186 S-strongly... ...kly CN-ring, see CN-ring weakly G-ring, 142, 165 weakly periodic, 178, 180, 211 weakly Q-ring, 104 weakly regular, 97 weakly SG-ring, 153, 1...

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...d its properties 175 7.2 Non associative bisemirings and its properties 180 7.3 S-bisemirings and its properties 183 7.4 Bisemivector spaces and... ...in) then DB ⊂ B and BD ⊂ B i.e. bd (and db) are in B with b(d + c) = bd + bc for all d, c ∈ D and b ∈ B. On similar lines we can define S-left mod... ...p homomorphism which is well defined φ/G 2 : G 2 → H 2 φ(A) → (ad – bc) where A =       d c b a ∈ G 2 . Thus φ/G 2 : G 2 → H 2... ...2 . be groups with G 1 = ()       ≠ − ∈         2 mod 0 bc ad with Z d , c , b , a d c b a 2 and G 2 =       ≠ − ∈ ... ...d c b a 2 and G 2 =       ≠ − ∈         ) 5 (mod 0 bc ad with Z d , c , b , a d c b a 5 . Clearly both G 1 and G 2 are no... ...40 , g 42 , g 84 , g 126 , g 168 , g 30 , g 60 , g 90 , g 120 , g 150 , g 180 , / g 210 = 1} be a set under multiplication. G = G 1 ∪ G 2 ∪ G 3 ∪... ..., g 126 , g 168 } and G 4 = {1, g 30 , g 60 , g 90 , g 120 , g 150 , g 180 } each G i are groups under the operations of using following the c... ... 151 Example 6.1.20: Let R = {0, 105, 70, 140, 30, 60, 90, 120, 150, 180, 42, 84, 126, 168} the integers under ‘+’ and ‘ ’ modulo 210. Clearly ... ...re R 1 = {0, 105}, R 2 = {0, 70, 140}, R 3 = {0, 30, 60, 90, 120, 150, 180} and R 4 = {0, 42, 84, 126, 168} where each R i is a ring under addit...

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...1 ‘Initiating recur. algorithm 170 A(1)=Q(0)*Q(1)+R(1):B(1)=Q(1) 180 Delta=1:M=1 ‘M=loop counter 190 while abs(Delta)>10^(-D) ... ...cd. B= abcdabcdabcdabcdabcd…… i C I Period # F(i) M(i) L(i) 1 a a 2 bc bc 3 dab 1 d ab 4 cdab 1 cd ab 5 cdabc 1 cd abc 6 dabcda 1 d... ...6 266 j 1 29 45 11 0 27 27 28 p=61 k 2 4 6 p=67 k 4 8 9 d=20 i 1 79 180 101 d=11 i 1 99 67 32 j 1 8 19 10 j 1 10 6 2 p=71 k 1 3 4 ... ... 82 p=19 k 1 2 3 4 5 10 12 13 14 16 d=9 i 1 128 149 90 31 52 117 179 180 181 63 j 1 6 7 4 1 2 5 8 8 8 2 p=23 k 1 2 3 4 5 10 12 13 14 1...

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...’(M) has three solutions F’(6480) = 2* F’(2160)= 424 , F’(360) = 2* F’(180) = 52, F’(72) = 2* F’(30) =16. Readers are also invited to find so... ...ifferent values of k. (b) F’(N) /F’M) = N/M, (one solution is N=360. M = 180.), another is N= 210 , M = 70 F’(N) =15. and F’(M) = 5. T... ... p 3 qr 2 3 *3*5= 120 21 16 p 3 q 2 3 *3 =24 7 8 p 2 q 2 r 2 2 *3 2 *5 =180 26 18 p 2 qr 2 2 *3*5 = 60 11 12 p 2 q 2 2 *3 = 12 4 6 Pqr 2*3*5 = 3... ...his sequence is nothing more than the extended Fibonacci sequence rotated 180 0 about F 1 and then the left terms omitted. If we depascalize o... ...-8 . . which is obtained by rotating the FEBS around 13 (T 7 ) by 180 and then removing the terms on the left side of 13. Readers ar... ... + b 3 + c 3 - 3 abc = ( a + b + c ) ( a 2 + b 2 + c 2 - ab -bc - ca ) RHS = ( a + b + c ) ( a 2 + b 2 + c 2 - ab - bc - c... ... + b 2 + c 2 - ab - bc - ca ) = ( a + b + c ) { (a 2 - bc) +( b 2 -ac ) + ( c 2 - ab ) } applying the wrong lucky metho... ... applying the wrong lucky method (B), one gets = a.(a 2 - bc) + b( b 2 -ac ) + c( c 2 - ab ) = a 3 - abc + ...

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...ed to Rome as a model. It is often forgotten that Rome has been a republic (509-27 BC) for as long as it has been an empire (27 BC - 476 AD). Hence... ...eriousness, "fides" (good faith and reliability) were considered virtues. From 287 BC, Rome was a full-fledged democracy and meritocracy - one's ac... ...dualistic, not military. Thus, when the tribune Tiberius Sempronius Gracchus (133 BC) embarked on a land reform, he was opposed by the entrenched ... ...ex Gabinia following an attack of Mediterranean pirates on the port of Ostia in 68 BC. It granted Pompey command of the republic's navy as well as ... ...eter FDI. Foreign direct investment was identical in both 2000 and 1988 - a meager $180 million (less than FDI in Kosovo's neighbour, Macedonia, wi...