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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... ...oked at the doors. “Alex, come here! It looks like two handles on Secret of the Sands 179 either side of the apparatus. They popped up from the... ...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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...... 178 Aink jqn nhI hoq ........... 178 bhuqu drbu kir mnu ............ 179 bhu rMg mwieAw bhu ............ 179 pRwxI jwxY iehu qnu ................ ...drsnu Bytq pwp ............... 915 isKhu sbid ipAwrho ........... 916 mn bc /im rwm nwmu ........... 916 mhlw 3 AnMd AnMdu BieAw myrI ............... ...u isAwxp Awgl Bwrw ] hir kI syvw inrml hyq ] pRB kI drgh soBw syq ]1] 179 mn myry ghu hir nwm kw Elw ] quJY n lwgY qwqw Jolw ]1] rhwau ] ijau ... ...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... ...r sUrj cWd kY audY BeI sB dyh ] gur goibMd ky ibnu imly plit BeI sB Kyh ]179] jh AnBau qh BY nhI jh Bau qh hir nwih ] kihE kbIr ibcwir kY sMq sun...

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... marry his fiancée? That is not a judgment of public decency, but ignorance 179 of public decency. Why was not this judgment of public decency foun... ...y or false information concerning prior marital status. Cf. WA 10 II , 285. 179 An untranslatable pun: non iustitia sed inscitia. 180 Cf. pp. 80–8...

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.........178 Aink jqn nhI hoq ............178 bhuqu drbu kir mnu..............179 bhu rMg mwieAw bhu .............179 pRwxI jwxY iehu qnu............... ...5 drsnu Bytq pwp.................915 isKhu sbid ipAwrho............916 mn bc k®im rwm nwmu...........916 mhlw 3 AnMd Anµdu BieAw myrI............... ... ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ‰ ÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔ 179 ÓÓÓÓÓÓÓÓÓÓÓÓÓÓÓ ÓÓÓÓÓÓÓÓÓÓÓÓÓÓÓ soBw syq ]1] mn myry ghu hir nwm k... ...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 ... ...Ir sUrj cWd kY audY BeI sB dyh ] gur goibMd ky ibnu imly plit BeI sB Kyh ]179] jh AnBau qh BY nhI jh Bau qh hir nwih ] kihE kbIr ibcwir kY sMq s...

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...ER IN IMAGINATION 135 8 THE POWER IN ENTHUSIASM 159 9 THE POWER IN WORDS 179 10 THE POWER IN FAITH 201 INTRODUCTION Aloha, I have spent over ...

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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... ...gs from the perspective of “the point in the heart.” S P I R I T UA L WO R K 179 We must always try to remember that there are only two realities i... ...liss ......................................................................... 179 Changing Situations ..................................................

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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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... estas ĉar maltaŭgeco estas pli kontraŭa al taŭgeco ol netaŭgeco.” “Jes.” 179 Parto Ses 492 “Estas do logike ke la plej bona naturo vartata laŭ nekon...

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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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...n multiplicatively de cient and abundant numbers . . . . . . . . . . . . . 179 19 On values of arithmetical functions at factorials I . . . . . . . . ... ...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 ... ...(3) is true only for 1 > 3; when r = 2 for 1 = 1 we must have 2 2, 179 while for 1 2, 2 2 this is always valid; for r 3, (3) always ...

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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... ...s velockas &. loco quovis C ej dd velocitatem cwpo~is centro B inferv&lo BC c&&m defiribmtis, in fidbdtiplicata n&one qzmm AC, ++&a corporis a circ... ...Hale-o) erat in ‘d-ixgr. 16’. 30”. Inclinatio orbitae ad planum ecliptic= 179’. 56’. of’, Perihelium in z Or, 52’. 50”. Diitantia perihelia a fole ...

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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 ... ...emed and seems of extraordinary A CHORUS OF POWERS: AMERICAN INDIAN BELIEF 179 beauty and significance. My studies of Native American spirituality hav... ... nations and philosophies. A CHORUS OF POWERS: AMERICAN INDIAN BELIEF 219 179 ing things in common with Jung’s personality typology and his conceptio...

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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... ...that aR + bR = R with a, b ∈ R implies a + by ∈ K(R) for some y ∈ R. 179 DEFINITION [12]: A ring R satisfies n-stable range condition for whe... ...per radical. b. S-radical ideals which coincides with S-upper radical. 179. Does there exist a method by which we can find whether the ring contai... ...up, 169, 199 Fixed support subgroup, 170 Fixed support subring, 169-170, 179, 199 Friendly magnifying element, 134 Friendly shrinking element, 135... ... 28 R-module, 34 S-ring homomorphism II, 120 Hyperring, 115, 167-168, 179 I I ∗ -ring, 103 Inner zero square ring, 80 Insulator, 156, 196... ...60 Ideally obedient ring, 100, 186 J J-ring, 93-94 J k -ring, 171, 179, 200 JACOBSON. N., 93, 203 Jacobson radical, 27-28 K Kernel, se...

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... 12 15688 53 541 523 71 13 19902 107 1531 311 1327 14 22194 137 193 179 151 15 22503 577 97 643 31 16 24822 197 241 107 331 17 26413... ...1 1621 10 11604 967 211 829 73 11 11968 17 11969 19 11971 12 13244 43 883 179 1019 69 As in the case of 2-2 additive relations there is ... ...6268 431 3546269 433 3546271 14 4194917 4194917 197 4194919 199 15 4503640 179 4503641 181 4503643 In the case of 2-2 additive relations only 2 s... ...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... ... 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 ... ...1.F68 73 379.323201.F266 24 3.37.41.43.271.9091.165857.F61 74 3.41 2 .43 2 .179.271.9091.8912921.F255 25 227.2287.33871.611999.F66 75 3.11.37.443.F2...

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...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... ... G 2 =           ∈ ≠ −         2 Z d , c , b , a ; 0 bc ab d c b a , G 2 is a group under matrix multiplication. 7. For t... ... bisemifield of the bisemifield P. 1 c b a d f e 0 Figure 7.1.2 179 Example 7.1.10: Let S = Z o [x] ∪ C 20 ; clearly S is a bisemifield.... ...field, 141 Prime bi-ideal, 198 Prime bi-radical, 198 Prime bisemifield, 179 Prime ideals in near-ring, 45 Principal isotope of biloop, 110-111, 2... ...asi ring, 219 Sub-biring, 138, 152-6, 161, 243, 249 Sub-bisemifield, 178-179 Sub-bisemigroup, 88, 96, 100 Sub-bisemigroupoid Sub-bisemiring, 177,... ...79 Sub-bisemigroup, 88, 96, 100 Sub-bisemigroupoid Sub-bisemiring, 177, 179, 186 Sub-bisemivector space, 192 Subcommutative biring, 154 Subgroup...

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... Function …………………. 178 3.12 Smarandache Determinant Sequence …………………. 179 10 3.13 Expansion of x n in Smarandache Terms of Permutations ……... ...ed as the determinants of the following sequence of matrices 179 1 1 2 1 2 3 1 2 ... ... + 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 + ... ...unction (SCGP) 206-207 Smarandache Cyclic Determinant Natural Sequence 179-181 Smarandache Distinct Reciprocal Partition of Unity Set (SDRPS(n))... ...7-208 Smarandache Maximum Reciprocal Representation Function (SMRR) 178-179 Smarandache Maximum Reciprocal Representation Sequence (SMRRS) 178-1...

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...//en.wikipedia.org/wiki/Internet_Channel (as of May 15, 2007, Notes to Pages 179–81 303 07:00 GMT); Wii, The Developers Talk About the Internet Chann... ...tp://news.cnet.co.uk/software/0,39029694,39190155,00.htm. 18. Hiawatha Bray, BC Warns Its Alumni of Possible ID Theft After Computer Is Hacked, B... ... pants, 161; as what we make it, 242, 244–46; wireless access points of, 69, 179–80, 194; worms and viruses in, 36–54 Internet Engineering T ask Force... ... enforce- ment, 166; and quality of service, 33; and user ID, 195; and wi-fi, 179–80, 194 iT unes, 105, 121, 197 Jackson, Janet, 109 jailcams, 209–10 J... ...inberger, David, 214 Westlaw, 89 whistleblowers, 118 wi-fi access points, 69, 179–80, 194 Wikipedia, 74, 130, 226; barnstar awards, 136, 145; biographi...

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... they are included in the eighth, or that of relation. [2] [1] Hyp. I. 178-179. [2] Hyp. I. 39. The Tropes of Aetiology. The eight Tropes against ... ...disagreement, and is untrustworthy. Nor is it conceded that anything can be 179 comprehended through something else; for if a thing is comprehended ...

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...titude of self-pity. Hell was behind such dance movements as the Ug, in 1 BC, the camel toe in 600 BC and others such as, belly dancing, disco and l... ...is eyes of grey fixed on his enemy who stood unmoved and with authority. 179 “You have listened to the father of lies; your time is up my friend. T...

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.... “ Don’t you know me?” “Is it you, Jesus?” “Yes.” CHRIST’S JOURNAL 179 “Let me come to you.” “Come,” I said. He sank as he walked toward ...