Eratosthenes statesman distinguish Aristophanes Infobox person name Eratosthenes br lang grc image Portrait of Eratosthenes.png image size alt Portrait of Eratosthenes caption Portrait of Eratosthenes ... Eratosthenes of Cyrene, Libya Cyrene lang grc , IPA el eratost n s IPA IPA en ..., and the year of Zeno s death is by no means definite. Cf. Eratosthenes entry in the Dictionary ... as we understand it. ref cite book title Eratosthenes Geography author Erastothenes others Fragments ... last Alfred work Wired date June 19, 2008 ref He also created the first Ancient world maps Eratosthenes ... on the available geographical knowledge of the era. In addition, Eratosthenes was the founder of scientific .... 1975. Entry 42, Eratosthenes , Page 29. Pan Books Ltd, London. ISBN 0 330 24323 3. It was also ... Life File Mappa di Eratostene.jpg thumb alt Eratosthenes map of the world 194 B.C. 19th century reconstruction of Eratosthenes map of the known world, nowrap Circa c. 194 BC Eratosthenes was born in Cyrene ... of Ptolemaic Egypt . Eratosthenes studied in Alexandria , and claimed to have also studied ... and on Elephantine Island near Syene now Aswan , Egypt . Eratosthenes criticized Aristotle ... University Press, 1948. New ed., 2002 paperback, ISBN 0 521 53137 3 . ref By 195 BC, Eratosthenes became blindness blind . He died in 194 BC at the age of 82. Eratosthenes measurement of the Earth ... S Eratosthenes calculated the circumference of the Earth without leaving Egypt. Eratosthenes ... title The Length of Eratosthenes Stade last Engels first Donald date Autumn 1984 pages 298 311 ... of 46,620 km, i.e. 16.3 too large. However, if we assume that Eratosthenes used ... km, an error of less than 2 . ref There is a huge Eratosthenes got it right literature based ... from Eratosthenes experiment instead of the reverse. A disproportionality of literature exists ... arguments for Eratosthenes exact correctness are discussed by Dennis Rawlins Rawlins in 1982b page ... more details
Notability Astro date February 2012 Infobox planet minorplanet yes width 25em bgcolour FFFFC0 apsis name Eratosthenes symbol image caption discovery yes discovery ref discoverer Cornelis Johannes van Houten , Ingrid van Houten Groeneveld and Tom Gehrels discovery site Palomar Observatory discovered September 24, 1960 designations yes mp name 3251 alt names 6536 P L named after Eratosthenes mp category orbit ref epoch May 14, 2008 aphelion 3.6138604 perihelion 2.6053780 semimajor eccentricity 0.1621553 period 2002.8998652 avg speed inclination 0.71815 asc node 142.40859 mean anomaly 227.44117 arg peri 237.57803 satellites physical characteristics yes dimensions mass density surface grav escape velocity sidereal day axial tilt pole ecliptic lat pole ecliptic lon albedo temperatures temp name1 mean temp 1 max temp 1 temp name2 max temp 2 spectral type abs magnitude 12.9 3251 Eratosthenes 6536 P L is a Asteroid belt main belt asteroid discovered on September 24, 1960 by Cornelis Johannes van Houten , Ingrid van Houten Groeneveld and Tom Gehrels at Palomar Observatory . External links http ssd.jpl.nasa.gov sbdb.cgi?sstr 3251 Eratosthenes JPL Small Body Database Browser on 3251 Eratosthenes Reflist Minor planets navigator 3250 Martebo 3252 Johnny Small Solar System bodies DEFAULTSORT Eratosthenes Category Main Belt asteroids Category Asteroids named for people Category Astronomical objects discovered in 1960 Beltasteroid stub de 3251 Eratosthenes eo 3251 Eratosteno fa fr 3251 ratosth ne it 3251 Eratosthenes la 3251 Eratosthenes hu 3251 Eratosthenes ja pl 3251 Eratosthenes pt 3251 Eratosthenes sk 3251 Eratosthenes sr 3251 Eratosthenes uk 3251 vi 3251 Eratosthenes yo 3251 Eratosthenes ... more details
About the ancient Athenian statesman of the fifth century BC the Greek scholar of the third century BC Eratosthenes Eratosthenes of Athens was one of the Thirty Tyrants elected to rule the city of Athens after the Peloponnesian War 431 404 BC . Having lost the war to the Sparta ns, the citizens of Athens elected thirty men as oligarchs . These Thirty instituted oppressive and highly exclusionary laws and instituted a political purge against Athenians who had been Spartan informers and collaborators during the long war. Eventually open hostilities between the Thirty and disenfranchised or disaffected Athenian citizens led to a coup d etat in 403 B.C. that deposed them. After the removal of the Thirty Tyrants from power, Lysias , one of the ten Attic orators , wrote Against Eratosthenes ref Lysias, Speeches . Lysias with an English translation by W.R.M. Lamb, M.A. Cambridge, MA, Harvard University Press London, William Heinemann Ltd. 1930 http www.perseus.tufts.edu cgi bin ptext?lookup Lys. 12 1 Perseus Digital Library, Tufts University ref as an indictment against Eratosthenes for the murder of his brother, Polemarchus . This speech remains one of the world s most famous orations and is identified by some historians as Lysias s personal best. references Category Thirty Tyrants of Athens Category 5th century BC Greek people Ancient Greece stub ca Erat stenes d Atenes de Eratosthenes Oligarch el es Erat stenes tirano la Eratosthenes politicus Atheniensis ... more details
lunar crater data image Image AS17 145 22285.jpg 240px caption Eratosthenes lower right of center and surroundings from Apollo 17. NASA image . latitude 14.5 N or S N longitude 11.3 E or W W diameter 58 km depth 3.6 km colong 12 eponym Eratosthenes Image Eratosthenes crater.png 200px thumb Eratosthenes as seen from Earth. Image Imbrium map.png 200px thumb Detail map of Mare Imbrium s features. Eratosthenes is marked L . Eratosthenes is a relatively deep Moon lunar impact crater that lies on the boundary between the Mare Imbrium and Sinus Aestuum Lunar mare mare regions. It forms the western terminus of the Montes Apenninus mountain range. The crater has a well defined circular rim, wiktionary terrace terrace d inner wall, central mountain peaks, an irregular floor, and an outer wikt rampart rampart of ejecta. It lacks a ray system of its own, but is overlain by rays from the prominent crater Copernicus lunar crater Copernicus to the south west. The Eratosthenian period in the lunar geologic timescale lunar geological timescale is named after this crater. The crater is believed to have been formed about 3.2 1000000000 number billion years ago, defining the start of this time period. At low Sun angles this crater is prominent due to the shadow cast by the rim. When the Sun is directly overhead, however, Eratosthenes visually blends into the surroundings, and it becomes more difficult ... of the crater mid point that is closest to Eratosthenes. class wikitable width 25 style background eeeeee Eratosthenes width 25 style background eeeeee Latitude width 25 style background eeeeee Longitude ... of the Month MARCH 2006 FOCUS ON Eratosthenes Category Impact craters on the Moon bg ca Cr ter Eratosthenes cs Kr ter Eratosthenes da Eratosthenes m nekrater de Eratosthenes Mondkrater fa it Eratosthenes cratere la Eratosthenes crater lunaris ja pl Eratostenes krater ksi ycowy ru fi Eratosthenes Kuun kraatteri uk ... more details
orphan date November 2009 italic title On the Murder of Eratosthenes is a speech by Lysias , one of the Canon ... written for Euphiletos who is charged with the death of Eratosthenes. The case is heard before ... is accused of killing Eratosthenes, who was caught in the act of adultery with Euphiletos s wife. Euphiletos s defense is that his killing of Eratosthenes was an act of justifiable homicide and therefore ... by creating a favorable portrayal of him while discrediting and attacking Eratosthenes s character .... In contrast, Lysias shows Eratosthenes to have the personality of an arch seducer, and a threat to society. With this unfavorable portrayal of Eratosthenes s personal characteristics, Lysias hopes ... that Eratosthenes was not the type of individual that deserved to roam the streets of Athens and that the entire .... Lysias concludes the speech by saying that if Euphiletos is punished for the murder of Eratosthenes ... Because it was crucial that Lysias established that the murder of Eratosthenes was not premeditated, but a lawful act of justifiable homicide, Euphiletos states that when Eratosthenes entered the home ... Eratosthenes so he incorporated the repetition of this point in varying places in the speech ..., to the act of adultery being committed by his wife and Eratosthenes. He said that he went in search ... had planned to murder Eratosthenes and was just trying to make the murder appear to be justifiable ..., once Euphiletos caught his wife engaging in an affair with Eratosthenes, he sought out justice through death for the seducer that persuaded his wife into bed. Lysias describes Eratosthenes ... girl was in effect an accessory because she passed notes between Eratosthenes and Euphiletos ... advantage, as many of his witnesses are those that he gathered on the night that he killed Eratosthenes ... between Euphiletos and Eratosthenes. They also make an effort to prove that the servant girl lured Eratosthenes to Euphiletos s house just so he could be murdered. It is also mentionable that Euphiletos ... more details
italictitle Against Eratosthenes is a speech by Lysias , one of the ten Attic orators . In the speech, Lysias accuses Eratosthenes statesman Eratosthenes , a member of the Thirty Tyrants who ruled Athens following the Peloponnesian War , of the murder of his brother, Polemarchus around 403 BCE . Overview Lysias s career as a speech writer, or Logographer legal logographer , was interrupted by the occupation of the Thirty Tyrants, an Oligarchy oligarchic Military junta junta placed in power by the Sparta ns following their victory against Athens in the Peloponnesian War, which ended in 404 BCE. Lysias, along with a small group of fellow metic s, including his brother, Polemarchus, were arrested by the pro Spartan regime on charges of general hostility and resistance to the Thirty Tyrants. According to Lysias, the group was arrested on trumped up charges just so the Thirty Tyrants could have a reason to confiscate their substantial wealth and property. The subsequent execution of Polemarchus is one of the subjects of the speech. Eratosthenes was a member of the Thirty Tyrants who oversaw the arrest of Lysias, Polemarchus, and their fellow metics. The speech was written following the collapse of the oligarchy and the restoration of democracy in Athens in 403 BCE. Lysias s speech Considered to be among the most famous of his works, Lysias is both the author and the speaker in the speech. Upon the restoration of democracy in Athens, a general amnesty was granted to protect the former ... this speech was delivered at Eratosthenes s euthunai , a separate homicide trial or at all. Regardless ... a general attack on Eratosthenes and the other members of the Thirty Tyrants pointing out their collective ... of Eratosthenes himself. During his cross examination, Eratosthenes makes a very similar argument that the Nazi defendants made at the Nuremberg Trials . Eratosthenes maintained that he was simply following ... 3Atext 3A1999.01.0154 3Aspeech 3D12 3Asection 3D1 Against Eratosthenes original text available at the Perseus ... more details
Infobox Seamount Name Eratosthenes Seamount Depth convert 690 m ft 0 abbr on Height convert 2000 m ft 0 abbr on Map File South Cyprus bathymetric features.png 250px Map caption Bathymetric features south of Cyprus Summit area convert 120 x 80 km mi 0 abbr on Location Eastern Mediterranean Group Eratosthenes Abyssal Plain Coordinates Country coord 33 40 N 32 40 E display inline, title Type Seamount continental fragment Volcanic group Age Last eruption Discovered Discovered by First visit Translation Language Pronunciation Photo Photo alt Photo caption The Eratosthenes Seamount is a seamount in the Eastern Mediterranean about 100 km south of western Cyprus . It is a large, submerged massif, about 120 km long and 80 km wide. Its peak lies at the depth of 690 m and it rises 2000 m above the surrounding seafloor, which is located at the depth of up to 2,700 m and is a part of the Eratosthenes Abyssal Plain . It is one of the largest features on the Eastern Mediterranean seafloor. See also CenSeam Ferdinandea References Mart, Yossi and Robertson, Alastair H. F. 1998 . http www.era.lib.ed.ac.uk handle 1842 558 Eratosthenes Seamount an oceanographic yardstick recording the Late Mesozoic Tertiary geological history of the Eastern Mediterranean , in Robertson, A.H.F., Emeis, K. C., Richter, C., and Camerlenghi, A. eds. , Proceedings of the Ocean Drilling Program, Scientific Results, Vol. 160, Chapter 52, 701 708. Kempler, Ditza 1998 . http www odp.tamu.edu publications 160 SR VOLUME CHAPTERS CHAP 53.PDF Eratosthenes Seamount the possible spearhead of incipient continental collision in the Eastern Mediterranean , in Robertson, A.H.F., Emeis, K. C., Richter, C., and Camerlenghi, A. eds. , Proceedings of the Ocean Drilling Program, Scientific Results, Vol. 160, Chapter 53, 709 721. http earthref.org SBN index.html Earthref entry Category Seamounts of the Mediterranean Category Physical oceanography Category Landforms of the Mediterranean marine geo stub ar ... more details
Image Sieve of Eratosthenes animation.gif right frame Sieve of Eratosthenes algorithm steps for primes below 121 including optimization of starting from prime s square . In mathematics , the sieve of Eratosthenes ... of Eratosthenes. Being an Account of His Method of Finding All the Prime Numbers, http www.jstor.org ... by each prime. ref name ONeill The sieve of Eratosthenes is one of the most efficient ways to find all of the smaller primes below 10 million or so . ref The Prime Glossary The Sieve of Eratosthenes .... ref It is named after EratosthenesEratosthenes of Cyrene , an Ancient Greek mathematicians ancient ... to Eratosthenes in the Introduction to Arithmetic by Nicomachus . ref Nicomachus , Introduction ... Algorithm description quote box fontsize 95 Sift the Two s and Sift the Three s, br The Sieve of Eratosthenes .... 174. ISBN 3540110461. ref ref cite web url http c2.com cgi wiki?SieveOfEratosthenes title Sieve Of Eratosthenes ... number 1 and itself. To find all the prime numbers less than or equal to a given integer n by Eratosthenes ..., Melissa E., http www.cs.hmc.edu oneill papers Sieve JFP.pdf The Genuine Sieve of Eratosthenes , Journal ... of Eratosthenes, although the latter directly generates the composites instead of testing ... of Eratosthenes in generating ranges of primes. ref name ONeill When testing each candidate ... Science, University of St. Andrews 1975. ref is often presented as an example of the sieve of Eratosthenes ... of the sieve of Eratosthenes, with basic optimizations, uses math O n math operations and math O ... primes in arithmetic progression s. ref J. C. Morehead, Extension of the Sieve of Eratosthenes to arithmetical ... contains a version of the sieve of Eratosthenes in which each composite number is eliminated exactly ... Page http demonstrations.wolfram.com SieveOfEratosthenes Sieve of Eratosthenes by George Beck, Wolfram Demonstrations Project . http www.haskell.org haskellwiki Prime numbers Sieve of Eratosthenes in Haskell http www.algolist.net Algorithms Number theoretic algorithms Sieve of Eratosthenes Sieve ... more details
Unreferenced stub auto yes date December 2009 Lunar geo time The Eratosthenian period in the lunar geologic timescale runs from 3,200 million years ago to 1,100 million years ago. It is named after the Eratosthenes crater crater Eratosthenes , whose formation marks the beginning of this period. The formation of the Copernicus lunar crater crater Copernicus marks its end, and the beginning of the subsequent Copernician Period. The massive basaltic volcanism of the Imbrian period tapered off and ceased during this long span of lunar time. The youngest lunar lava flows identified from orbital images are tentatively placed near the end of this period. Its Earth equivalent consists of most of the Neoarchean era Archean eon , Paleoproterozoic and Mesoproterozoic eras Proterozoic eon . Timeline Lunar Geological Timescale Category Lunar geologic periods Moon stub br Eratostenian ca Eratosteni da Eratosthenian es Per odo Eratosteniano fr ratosth nien it Eratosteniano nl Eratosthenium ru sv Eratosthenian vi K Eratosthenes ... more details
Sieve method , or the method of sieves , can mean in combinatorics, the set of methods dealt with in sieve theory or more specifically, the Inclusion exclusion principle in statistics, and particularly econometrics, the use of sieve estimator s in mathematics and computer science, the sieve of Eratosthenes , a simple method for finding prime number s. disambig ... more details
about the son of Poseidon Paean disambiguation In Greek mythology , Paeon was a son of Poseidon by Helle mythology Helle , who fell into the Hellespont . In some legends he was called Edonus. ref Pseudo Eratosthenes, Catasterismi http books.google.com books?id 4Sp8CaA5HI0C&pg PA43 19 Hyginus, Poeticon astronomicon , http www.theoi.com Text HyginusAstronomica2.html 20 2.20 Smith, http www.perseus.tufts.edu hopper text?doc Perseus 3Atext 3A1999.04.0104 3Aentry 3Dpaeon bio 4 Paeon 1. . ref He was the brother of the Giants Greek mythology giant Almops . ref Smith, http www.perseus.tufts.edu hopper text?doc Perseus 3Atext 3A1999.04.0104 3Aalphabetic letter 3DA 3Aentry group 3D17 3Aentry 3Dalmops bio 1 Almops ref Notes reflist References Grimal, Pierre, http books.google.com books?id iOx6de8LUNAC&printsec frontcover&source gbs ge summary r&cad 0 v onepage&q&f false The Dictionary of Classical Mythology , Wiley Blackwell, 1996, ISBN 9780631201021. http books.google.com books?id iOx6de8LUNAC&printsec frontcover&source gbs ge summary r&cad 0 v onepage&q Helle&f false Helle p. 190 Hyginus . The Myths of Hyginus , translated and edited by Mary Grant. University of Kansas Publications in Humanistic Studies, no. 34. Lawrence University of Kansas Press, 1960. Pseudo Eratosthenes , The Constellations 19 , in Star Myths of the Greeks and Romans a Sourcebook Containing the Constellations of Pseudo Eratosthenes and the Poetic Astronomy of Hyginus , translated and edited by Theony Condos, Red Wheel Weiser, 1997. ISBN 9781890482930. William Smith lexicographer Smith, William , Dictionary of Greek and Roman Biography and Mythology A dictionary of Greek and Roman biography and mythology . London. http www.perseus.tufts.edu hopper text?doc Perseus 3Atext 3A1999.04.0104 3Aalphabetic letter 3DA Online at Perseus Category Greek mythology ... more details
Unreferenced date December 2009 Infobox Lunar mare name Sinus Aestuum image Image Sinus aestum clem1.jpg 200px Sinus Aestuum caption latitude 10.9 N or S N longitude 8.8 E or W W diameter 290 km eponym Bay of Billows Sinus Aestuum latin for Bay of Billows forms a northeastern extension to Mare Insularum . It has selenographic coordinate s 10.9 N, 8.8 W, and it lies within a diameter of 290 km. The Sinus Aestuum is a level, nearly featureless surface of low albedo basalt ic lava that is marked by a few small impacts and some wrinkle ridge s. The eastern border is formed by an area of irregular terrain that divides the bay from the Mare Vaporum to the east. To the north is the Montes Apenninus range and the prominent crater Eratosthenes crater Eratosthenes . Along the western side is the flooded crater Stadius crater Stadius and the Mare Insularum to the southwest. Lunar maria Category Maria on the Moon Aestuum de Sinus Aestuum fa it Sinus Aestuum lb Sinus Aestuum pl Sinus Aestuum ru sv Sinus Aestuum zh ... more details
The scaphe or skaphe , also scaphium or scaphion was a sundial said to have been invented by Aristarchus of Samos Aristarchus 3rd century BC . It consisted of a hemispherical bowl which had a vertical gnomon placed inside it, with the top of the gnomon level with the edge of the bowl. Twelve gradations inscribed perpendicular to the hemisphere indicated the hour of the day. Using this measuring instrument Eratosthenes of Cyrene, Libya Cyrene ca. 220 BC measured the length of Earth s meridian arc . References Bi mont, E., Time Measurement in Astronomy in Heck, A. ed. 2003 , Information Handling in Astronomy Historical Vistas , page 20. Springer. Resnikoff, H., O Neil Wells, R., 1984 , Mathematics in Civilization , pages 93 93. Courier Dover Publications. Category Ancient Greek astronomy Category Clocks Category History of astronomy sci hist stub ... more details
Image Conchoid of Nicomedes.png 200px right thumb Conchoid s of line with common center. Nicomedes Pronunciation needed needing not the original Latin Greek pronunciation, but the Anglicized pronunciation that Classics Philosophy History etc. scholars use in English ca. 280 BC ca. 210 BC was an ancient Greek mathematician . Life and work Almost nothing is known about his life apart from references in his works. We know that he lived around the time of Eratosthenes or after, because he criticized Eratosthenes method of doubling the cube . It is also known that Apollonius of Perga called a curve of his creation a sister of the conchoid , suggesting that he was naming it after Nicomedes already famous curve. Consequently, it is believed that Nicomedes lived after Eratosthenes and before Apollonius of Perga . Like many geometers of the time, Nicomedes was engaged in trying to solve the problems of doubling the cube and trisecting the angle , both problems we now understand to be impossible using the tools of classical geometry . In the course of his investigations, Nicomedes created the conchoid of Nicomedes a discovery that is contained in his famous work entitled On conchoid lines . Nicomedes discovered three distinct types of conchoids, but what these conchoids were is unknown. Pappus of Alexandria Pappus wrote Nicomedes trisected any rectilinear angle by means of the conchoidal curves, the construction, order and properties of which he handed down, being himself the discoverer of their peculiar character. ref name Heath . Nicomedes also used the Hippias quadratrix to squaring the circle square the circle , since according to Pappus, For the squaring of the circle there was used by Dinostratus, Nicomedes, and certain other later persons a certain curve which took its name from this property, for it is called by them square forming . ref name Heath Eutocius mentions that Nicomedes prided himself inordinately on his discovery of this curve, contrasting it wit ... more details
Refimprove date December 2009 In mathematics , the Legendre sieve , named after Adrien Marie Legendre , is the simplest method in modern sieve theory . It applies the concept of the Sieve of Eratosthenes to find upper or lower upper bound bound s on the number of prime number prime s within a given set of integers. Because it is a simple extension of Eratosthenes idea, it is sometimes called the Legendre Eratosthenes sieve . ref Iwaniec, Henryk. http www.numdam.org item?id ASNSP 1977 4 4 2 257 0 The sieve of Eratosthenes Legendre . Annali della Scuola Normale Superiore di Pisa Classe di Scienze, S r. 4, 4 no. 2 1977 , p. 257 268 MR http www.ams.org mathscinet getitem?mr 453676 453676 Bot generated title ref Legendre s identity The central idea of the method is expressed by the following identity, sometimes called the Legendre identity math S A,P sum a in A sum d a d P mu d sum d P mu d A d math where A is a set of integers, P is a product of distinct primes, math mu math is the M bius function , and math A d math is the set of integers in A divisible by d , and S A, P is defined to be math S A, P n n in A, n, P 1 math i.e. S A , P is the count of numbers in A with no factors common with P . Note that in the most typical case, A is all integers less than or equal to some real number X , P is the product of all primes less than or equal to some integer z < X , and then the Legendre identity becomes math begin align S A,P & sum d P mu d left lfloor frac X d right rfloor & X sum p 1 z left lfloor frac X p 1 right rfloor sum p 1 p 2 z left lfloor frac X p 1p 2 right rfloor sum p 1 p 2 p 3 z left lfloor frac X p 1p 2p 3 right rfloor cdots end align math where math lfloor X rfloor math denotes the floor function . In this example the fact that the Legendre identity is derived from the Sieve of Eratosthenes is clear the first term is the number of integers below X , the second term removes the multiples of all primes, the third term adds back the multiple ... more details
Hyginus . During the Renaissance , printing of Catasterismi , invariably attributed to Eratosthenes ... bis auf Eratosthenes 1802 . ref edition of Catasterismi Meiningen 1791 was also illustrated with celestial ... MASSANA, Barcelona 2004 and ERATOSTHENES, Catasterismi, Text, bers., Komm. von J. P MIAS u. K. GEUS ... more details
lunar crater data latitude 20.3 N or S N longitude 8.7 E or W W diameter 26 km depth None colong 9 eponym Alfred Russel Wallace Alfred R. Wallace Wallace is the remains of a moon lunar Impact crater crater that has been flooded by lava . It lies in the southeastern part of Mare Imbrium , to the northeast of the crater Eratosthenes crater Eratosthenes . The crater rim forms a somewhat polygon al outline, and is broken in the southeast. The floor is flat and devoid of significant features, but it is overlain by Ray system ray material from Copernicus lunar crater Copernicus to the southwest. The rim ascends to an altitude of 0.4 km above the lunar mare . Satellite craters By convention these features are identified on Lunar maps by placing the letter on the side of the crater mid point that is closest to Wallace. class wikitable width 25 style background eeeeee Wallace width 25 style background eeeeee Latitude width 25 style background eeeeee Longitude width 25 style background eeeeee Diameter align center A align center 19.2 N align center 5.6 W align center 4 km align center C align center 17.6 N align center 6.4 W align center 5 km align center D align center 17.9 N align center 5.7 W align center 4 km align center H align center 21.3 N align center 9.1 W align center 2 km align center K align center 19.3 N align center 6.8 W align center 3 km align center T align center 21.9 N align center 5.1 W align center 2 km The following craters have been renamed by the International Astronomical Union IAU . Wallace B &mdash See Huxley lunar crater . References Lunar crater references Category Impact craters on the Moon de Wallace Mondkrater it Wallace cratere lunare ... more details
In Greek mythology , Krotos or Crotus was the son of Pan mythology Pan and Eupheme . He dwelt on Mount Helicon and kept company of the Muses , whom his mother had nursed. Krotos was renowned for being both an excellent hunter and a devoted adherent of the Muses and their arts. He is credited with having invented archery and being the first to use bow and arrows for hunting animals. He is also said to have introduced applause , as he would clap his hands at the singing of the Muses, for whom this was a sign of acclaim preferable to any verbal ones. ref Clapping is the literal meaning of Krotos name http www.perseus.tufts.edu hopper morph?l krotos&la greek Perseus Digital Library entry from the Greek English Lexicon by Liddel, H. G. and Scott, R. LSJ see meaning 2 ref To commemorate his diligence, the Muses asked Zeus to place him among the stars, which he did, transforming Krotos into the constellation Sagittarius constellation Sagittarius . Various details of his stellar image were thought to represent one of his virtues lower body of a horse for his skills of a horse rider arrows for his keenness and swiftness as a hunter a Satyr s tail for him being as delightful to the Muses as the Satyrs are to Dionysus . ref Hyginus , Fabulae , 224 Poetical Astronomy , 2. 27 ref ref Pseudo Eratosthenes , Catasterismi , 28 ref ref Both Hyginus and pseudo Eratosthenes cite Sositheus , a tragedian of the 3rd c. BCE ref References reflist External links http www.theoi.com Georgikos SatyrosKrotos.html Theoi Project Krotos Greek myth stub Category Greek mythology ... more details
in a coup that killed Critias, Lysias accused Eratosthenes statesman Eratosthenes of the murder of Lysias ... Chremo Cleomedes, son of Lycomedes Critias Diocles Dracontides Erasistratus of Acharnae Eratosthenes statesman Eratosthenes Eucleides Eumathes Hiero Hippolochus Hippomachus Melobius Mnesilochus Mnesitheides ... more details
NewPGen is a program used by researchers looking for large prime numbers . It is a program that is used to rapidly presieve a set of candidate numbers, removing those that are definitely composite numbers. It does this by removing those numbers divisible by 3, 5, etc., but since it works with a large set of numbers and uses some clever algorithms and fast implementations , it is a lot better than performing trial division on each number in the set. Those numbers which get through this sieve would then be tested with a primality proving program to find the primes. NewPGen has been used to make many discoveries in the realm of prime numbers, for example the largest known twin prime s, and nearly all of the known cunningham chain s. It is written and maintained by Paul Jobling. External links http primes.utm.edu programs NewPGen The Prime Pages NewPGen See also Sieve of Eratosthenes Category Numerical software Category Primality tests fr NewPGen ... more details
The Samejo or Sameja lang sd is the Samma tribe Samma and it is settled in Sindh and Balochistan province of Pakistan . Origin According to some traditions, They are descendants of Sam Shem , the eldest of the three surviving sons of the prophet Nuh Noah . descendants of Sam, the son of Umar , son of Hashim , son of Abu Lahab , an uncle of the Islamic prophet Muhammad . Some argue that as the Samma rulers used the title of Jam, then Sammas are the descendants of Jamshid , the legendary king of Persia who could see in his wine cup. Another theory makes them to be sons of Sames of Sophene . Sames or Samos I was the founder of the Kingdom of Sophene and the city of Samosata first mentioned by Eratosthenes in 245 BC. Ziaelas of Bithynia took refuge at the court of Satrap Governor Sames in Samosata in 260 BC. He was succeeded by his son Arsames I . Sama tribe migrated from Samosata and built a city of Samosata Samasata , Sindh , Pakistan . See also Samma Samma tribe Pakistan ethno stub Category Social groups of Pakistan Category Ethnic groups in Pakistan Category Samma tribes Category Sindhi tribes ... more details
About the Lunar mountain range other uses of Apennine Apennine disambiguation Infobox mountain name Montes Apenninus photo Apennines.jpg photo caption The Apennine Mountains of the Moon in the infrared. Image courtesy of Nordic Optical Telescope NOT and Stockholm Observatory SO M. G lfalk, G. Olofsson, and H. G. Flor n, taken with the SIRCA camera. elevation listing List of mountains on the Moon Lunar mountains translation Apennine Mountains location Moon coordinates Lunar coords and quad cat 18.9 N 3.7 W type age Image Imbrium map.png thumb right 295px Detail map of Mare Imbrium s features. Montes Apenninus is marked with a K . Montes Apenninus are a rugged mountain range on the northern part of the Moon s near side. They are named after the Apennine Mountains in Italy . This range forms the southeastern border of the large Mare Imbrium lunar mare and the northwestern border of the Terra Nivium highland region. It begins just to the west of the prominent crater Eratosthenes crater Eratosthenes , which abuts against the southern face of the range. To the west of these mountains is a narrow gap where Mare Imbrium in the north joins Mare Insularum to the south. Further to the west are the Montes Carpatus mountains. From Eratosthenes, the mountains form an arcing chain that gradually bends from east to northeast, ending at Promontorium Fresnel at about latitude 29.5 N. Here is another gap where the Mare Imbrium to the west joins the Mare Serenitatis to the east. At the north end of this gap lie the Montes Caucasus . ref cite web first Andreas last Hungeling date 2006 2009 title Eratosthenes, Archimedes, Montes Apenninus language German accessdate 15 February 2010 url http www.astro hungeling.de mond bildergalerie eratosthenesarchimedesundmontesapenninus.html ref This range contains several mountains that have received names, listed below ranging from west to northeast Mons Wolff Mons Amp re Mons Huygens, often listed as the List of tallest mountains in the Solar System ... more details
In computational number theory , a variety of algorithm s make it possible to generate prime number s efficiently. These are used in various applications, for example hash table hashing , public key cryptography , and search of prime factor s in large numbers. For relatively small numbers, it is possible to just apply trial division to each successive odd number . Prime sieves are almost always faster. Prime sieves A prime sieve or prime number sieve is a fast type of algorithm for finding primes. There are many prime sieves, but the simple sieve of Eratosthenes , the faster but more complicated sieve of Atkin ref AB , and the various Wheel factorization wheel sieves ref Pritchard are most common. A prime sieve works by creating a list of all integers up to a desired limit and progressively removing composite number s which it directly generates until only primes are left. This is the most efficient way to obtain a large range of primes however, to find individual primes, direct primality test s are more efficient. Large primes For the large primes used in cryptography, it is usual to use a modified form of sieving a randomly chosen range of odd numbers of the desired size is sieved against a number of relatively small odd primes typically all primes less than 65,000 . The remaining candidate primes are tested in random order with a standard primality test such as the Miller Rabin primality test for probable prime s. Alternatively, a number of techniques exist for efficiently generating provable prime s. These include generating prime numbers p for which the prime factorization of p &minus 1 or p 1 is known. Complexity The sieve of Eratosthenes is generally considered the easiest sieve to implement, but it is not the fastest. It can find all the primes up to N in time Big O notation O N , while the sieve of Atkin and most wheel sieves run in sublinear time O N log log N . The sieve of Atkin takes space N sup 1 2 o 1 sup segmented Eratosthenes sieve takes slightly le ... more details
About the historian and grammarian other men of the same name Apollodorus disambiguation Apollodorus the author of the Bibliotheke Bibliotheca Pseudo Apollodorus Apollodorus of Athens lang el born ca. 180 BC, died after 120 BC son of Asclepiades, was a Greeks Greek scholar, historian and grammarian. He was a pupil of Diogenes of Babylon , Panaetius Panaetius the Stoic , and the grammarian Aristarchus of Samothrace . He left, or fled, Alexandria around 146 BC, most likely for Pergamum , and eventually settled in Athens . Literary works Chronicle , a Greek history in verse from the fall of Troy in the 12th century BCE to roughly 143 BCE although later it was extended as far as 109 BCE , and based on previous works by Eratosthenes Eratosthenes of Cyrene . Its dates are reckoned by its references to the archons of Athens . As most archons only held office for one year, scholars have been able to pin down the years to which Apollodorus was referring. The poem is written in comic trimeter s and is dedicated to the 2nd century BC king of Pergamon, Attalus II Philadelphus . On the Gods , a detailed history of Greek religion, heavily depended on by later writers, such as Philodemus . A twelve book essay about Homer s Catalogue of Ships , also based on Eratosthenes Eratosthenes of Cyrene and Demetrius of Scepsis , dealing with Homeric geography and how it has changed along the centuries. Strabo relied greatly on this for books 8 through 10 of his own Geographica Strabo Geographica . Other possible works include an early wikt etymology etymology possibly the earliest by an Alexandrian writer , and analyses of the poets Epicharmus of Kos and Sophron . Apollodorus produced numerous other critical and grammatical writings, which have not survived. His eminence as a scholar gave rise to several imitations, forgeries and misattributions. The encyclopedia of Greek mythology called Bibliotheca Pseudo Apollodorus Bibliotheca , or Library , was ... more details
Luigi Poletti 1864&ndash 1967 was an Italy Italian mathematician and poet. He was born in Pontremoli , where he also died, aged 103 103 is a prime number , his main field of research were prime numbers . His mathematical studies have been related to the expansion of the table of prime number s, using a variant of the Sieve of Eratosthenes that he called Neocribrum . ref name Lunigiana cite web title Luigi Poletti work La guida di Pontremoli publisher Lunigiana.net year 1998 url http www.lunigiana.net pontremoli personaggi personaggi08.htm accessdate 2007 12 13 it icon ref Notes reflist Persondata Metadata see Wikipedia Persondata . NAME Poletti, Luigi ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1864 PLACE OF BIRTH DATE OF DEATH 1967 PLACE OF DEATH DEFAULTSORT Poletti, Luigi Category 1864 births Category 1967 deaths Category People from the Province of Massa Carrara Category 19th century Italian mathematicians Category 20th century Italian mathematicians Category Italian centenarians Italy mathematician stub fr Luigi Poletti math maticien it Luigi Poletti sl Luigi Poletti ... more details
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