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...Medea is an ancient Greek tragedy written by Euripides, based upon the myth of Jason and Medea and first produced in 431 BC. The plot centers on the barbarian protagonist as she finds her position in the Greek world threatened, and the revenge she takes against her husband Jason who has betrayed her for another woman....

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...at is known in contemporary history as the Flower of Life. Origin of the symbol is in the ancient Mesopotamia and it dates back to the 2nd millennium BC or earlier. I have documented the usage of the symbol roughly from 1600 BC to 1600 AD. The reader of this document is expected to be familiar with basics of the Flower of Life geometry1. Elementary knowledge of the anci...

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...versus Cownose 3. Early visible traces 4. At the dawn of the Common Era 5. 1500 AD and still going strong 6. List of artifacts 6.1. 2000 BC - 0 AD 6.2. 0 AD - 2000 AD 6.3. Undated 7. Map of artifacts of the Flower of Life 8. Conclusions? 9. Credits 10. References 11. Keywords 12. Back cover...

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...has debated god from his earliest reasoning. Cave drawings allude to such. One, found in the cavern known as 'The Sanctuary', was drawn around 13,000 BC. Looking more like a devil than a god, it is an early evidence of mankind recognizing 'a higher power'. Certainly, by the Babylonian era, the idea of higher powers was well documented....

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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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...generally, if a, b, c are elements in a Moufang loop G such that (ab)c = a(bc) then a, b, c generate an associative loop. The proof is left for t... ...= b, b < a. (ii) if a < b and b < c then a < c. (iii) if a < b then ac < bc and ca < c b. The relation a > b is interpreted as usual, to mean b <... ... triple a, b, c ∈ L is said to be pseudo associative if (ab) (xc) = (ax) (bc) for all x ∈ L. If (ab) (xc) = (ax) (bc) for some x ∈ L we say the trip... ...ciative loop L if for a non-associative triple a, b, c in L we have (ax) (bc) = (ab) (xc) then for all x ∈ L, we say the triple is strongly pseudo a... ... DEFINITION 2.4.14: Let L be a loop. PA(L) = 〈{t ∈L / (ab) (tc) = (at) (bc) where a(bc) = (ab)c for a, b, c ∈ L }〉 denotes the pseudo associator ... ...ubloop in L, if we have an associative triple a, b, c in A such that (ax)(bc) = (ab)(xc) for some x ∈ A. We say L is a Smarandache pseudo associativ... ...nd A be a subloop. If for any associative triple a, b, c ∈ A we have (ax)(bc) = (ab)(xc) for some x ∈ L then we say the triple is strongly pseudo as... ...andache pseudo associative loop. Then PA(L s ) = 〈{t ∈ A/ (ab)(tc) = (at)(bc) where (ab)c = a(bc) for a, b, c ∈ A}〉 denotes the Smarandache pseudo a... ... loop. A be a S-subloop of L. The set SPA(L S ) = 〈{t ∈ L / (ab)(tc)=(at)(bc) where (ab)c = a(bc) and a, b, c are in A}〉 denotes the Smarandache str...

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...It is the third century BC in the area we currently call the Netherlands, twelve year old girl Nehalennia wants to desperately look for her father, who is missing after a trade voyage between Ganuenta and Gippeswic. But Mother has other plans, she...

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...Heracleidae is a play by Euripides c. 430 BC. It follows the children of Heracles (known as the Heracleidae), as they seek protection from Eurystheus. It is the first of two surviving plays by Euripides where the family of Heracles are suppliants (the second being He...

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...secret of one of the most powerful men who ever lived? Solomon, son of King David, was the third king of Israel and lived during the tenth century BC. He became famous because of his great wisdom and wealth, higher than any other king on earth who lived before and after him. His reign was long (about 40 years), full of peace and prosperity. And eve...

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... Confucius and his disciples, as well as the discussions they held. Written during the Spring and Autumn Period through the Warring States Period（475 BC - 221 BC) the Analects is the representative work of Confucianism and continues to have a tremendous influence on Chinese and East Asian thoughts and values today. In neutrosophy, between two ends there are many, sometimes...

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... in the dialogs Timaeus and Critias written by the Greek philosopher Plato (428-347 BC). An Egyptian priest was supposed to have described it to the... ...tian priest was supposed to have described it to the Greek statesman Solon (638-559 BC). The priest insisted that Atlantis was enormous - bigger ... ...echnologically advanced civilization, recounted the priest, in the 10th millennium BC (c. 12,000 years ago). Curiously, he also said that the A... ...an island in the Aegean Sea (Thera, or Santorini it suffered an earthquake in 1640 BC and housed the flourishing Cycladic civilization), through th... ...ed to Numa Pompilius, the second of Rome's seven kings (said to have ruled 715-673 BC). Stories during the Renaissance describe "do it yourself" se... ...r lunar calendar and the natural solar year. Julius Caesar decreed that the year 46 BC should have 445 days (some historians implausibly say: 443 da... ...to the Julian Calendar, a latter day rendition of the Aristarchus calendar from 239 BC. After his assassination, the month of Quintilis was renamed ... ...science and counterfact are represented. Greek mathematician Pythagoras (582-500 BC) postulated that earth is round and that, together with the o... ..., it is revolving around a central fire. Aristarchus, a Greek Astronomer (310-250 BC), was more precise. He suggested that the earth revolves arou...

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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 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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...drsnu Bytq pwp ............... 915 isKhu sbid ipAwrho ........... 916 mn bc /im rwm nwmu ........... 916 mhlw 3 AnMd AnMdu BieAw myrI ............... ...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... ...iniD pwir prau ]1] rhwau ] jnmu pwie kCu Blo n kIno qw qy AiDk frau ] mn bc /m hir gun nhI gwey Xh jIA soc Drau ]1] gurmiq suin kCu igAwnu n aupij... ...ieAw n ibAwpY ]4] jip goibMd sMgI siB qwry ] pohq nwhI pMc btvwry ]5] mn bc /m pRBu eyku iDAwey ] srb Plw soeI jnu pwey ]6] Dwir AnugRhu Apnw pRiB... ...mwlu jobnu suq hir nwnk bwpu myrI mweI sMqhu ]8]2]7] rwmklI mhlw 5 ] mn bc /im rwm nwmu icqwrI ] GUmn Gyir mhw Aiq ibKVI gurmuiK nwnk pwir auqwrI... ... aupweI hy ]5] pRB Awey srxw Bau nhI krxw ] swDsMgiq inhcau hY qrxw ] mn bc krm ArwDy krqw iqsu nwhI kdy sjweI hy ]6] gux inDwn mn qn mih rivAw ]...

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...5 drsnu Bytq pwp.................915 isKhu sbid ipAwrho............916 mn bc k®im rwm nwmu...........916 mhlw 3 AnMd Anµdu BieAw myrI............... ...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 ... ... iniD pwir prau ]1] rhwau ] jnmu pwie kCu Blo n kIno qw qy AiDk frau ] mn bc k®m hir gun nhI gwey Xh jIA soc Drau ]1] gurmiq suin kCu igAwnu n a... ...wieAw n ibAwpY ]4] jip goibMd sMgI siB qwry ] pohq nwhI pMc btvwry ]5] mn bc k®m pRBu eyku iDAwey ] srb Plw soeI jnu pwey ]6] Dwir AnugRhu Apnw ... ...n mwlu jobnu suq hir nwnk bwpu myrI mweI sMqhu ]8]2]7] rwmklI mhlw 5 ] mn bc k®im rwm nwmu icqwrI ] GUmn Gyir mhw Aiq ibKVI gurmuiK nwnk pwir au... ...Rsit aupweI hy ]5] pRB Awey srxw Bau nhI krxw ] swDsMgiq inhcau hY qrxw ] mn bc krm ArwDy krqw iqsu nwhI kdy sjweI hy ]6] gux inDwn mn qn mih rivAw...

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...eun ă cu George P. Coatmundi publicaser ă o carte la Trafford (Victoria – BC, Canada), „A New Copernican Revolution”, pe care Greg a prezentat-o. ...

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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... ... DEFINITION 4.1.16: Let L = L 1 ∪ L 2 be a biloop. The Moufang center BC(L) = BC(L 1 ∪ L 2 ) is {the set of elements of the loop L 1 which com... ... loop L 2 which commute with every element of L 2 } = C(L 1 ) ∪ C(L 2 ), BC(L) = BC(L 1 ∪ L 2 ) = C(L 1 ) ∪ C(L 2 ). The center BZ(L) of the biloop... ... Smarandache pseudo associative (S- pseudo associative) if (ab)(xc) = (ax)(bc) for all x ∈ P. If (ab)(xc) = (ax)(bc) for some x ∈ P we say the triple... ...iator of a biloop (L, +, ) denoted by S(AL p ) = 〈{t ∈ P/ (ab)(tc) = (at)(bc) where a(bc) = (ab)c for a, b, c ∈ P} 〉; where P is a S-sub-biloop of L...

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...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...

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...         d c b a where a, b, c, d are real numbers such that ad − − − − bc ≠ 0. G is a group under matrix multiplication with        ...

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...ween Eastern Turkey and the Caspian Sea. Some time between 12,000 and 8,000 BC, women must have discovered that by sowing the seeds of these grains t... ...owed sedentary life in organized cities to emerge. --Amonhotep IV (1353-1337 BC) changed his name to Akhenaten or Akhenaton, which meant, "Aten is sat... ...n god, Aten, allowed a more naturalistic art to flourish. --Cleopatra (69-30 BC) was the last ruler of the Ptolemaic dynasty which ruled Egypt from 51... ...BC) was the last ruler of the Ptolemaic dynasty which ruled Egypt from 51-30 BC. As one of the strongest women in the ancient world, she was idealize...

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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....