13 km References Lunar crater references Category Impact craters on the Moon da Boole m nekrater fr Boole crat re ...lunar crater data latitude 63.7 N or S N longitude 87.4 E or W W diameter 63 km depth Unknown colong 89 eponym George BooleBoole is a moon lunar Impact cratercrater that lies along the northwestern limb of the Moon , to the northwest of the crater Gerard crater Gerard . At this location it is viewed nearly from the side, and is very oblong in shape due to foreshortening. The crater formation is nearly circular, however, with a wide inner wall that has been worn and rounded due to subsequent impacts. It is named after George Boole . To the north of Boole is the crater Cremona crater Cremona , and to the southwest are Paneth crater Paneth and Smoluchowski crater Smoluchowski . The eroded and somewhat distorted satellite craterBoole E is attached to the southern rim, forming a saddle shaped valley between the two formations. The interior floor of Boole is relatively flat, and marked only by tiny craterlets. There is a small craterlet on the floor next to the southwest rim, and a tiny crater along the western inner wall. The surface along the western face of Boole is pock marked by a multitude of small craterlets that run in a northerly direction towards Brianchon crater Brianchon . A sequence of these impacts forms a short catena , or crater chain, near the western rim of Boole. 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 Boole. class wikitable width 25 style background eeeeee Boole width 25 style background eeeeee Latitude width 25 style background eeeeee Longitude width 25 style background eeeeee Diameter align center A align center 63.6 N align center 80.6 W align center 56 km align center B align center 63.6 N align center 77.3 W align center 9 km align center ... more details
Boole may refer to George Boole British mathematician and philosopher, and originator of Boolean algebra. Boolecrater A lunar crater which is named for George Boole. Boole band An electronic music group from the United States. Boole tree See also Boolean disambiguation List of Boolean algebra topics Bool disambiguation ... more details
Infobox planet minorplanet yes width 25em bgcolour FFFFC0 apsis name Boole symbol image caption discovery yes discovery ref discoverer P. G. Comba discovery site Prescott Observatory Prescott discovered January 22, 1998 designations yes mp name 17734 alt names 1998 BW3 named after George Boole mp category orbit ref epoch May 14, 2008 aphelion 2.6508111 perihelion 2.1660657 semimajor eccentricity 0.1006348 period 1365.2171714 avg speed inclination 2.10280 asc node 222.37419 mean anomaly 302.42689 arg peri 219.12711 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 15.7 17734 Boole 1998 BW3 is a Asteroid belt main belt asteroid discovered on January 22, 1998 by P. G. Comba at Prescott Observatory Prescott . References Reflist External links http ssd.jpl.nasa.gov sbdb.cgi?sstr 17734 Boole JPL Small Body Database Browser on 17734 Boole MinorPlanets Navigator 17733 1998 BS1 17735 1998 BG7 MinorPlanets Footer DEFAULTSORT Boole Category Main Belt asteroids Category Asteroids named for people Category Discoveries by Paul G. Comba Category Astronomical objects discovered in 1998 beltasteroid stub fa it 17734 Boole pl 17734 Boole pt 17734 Boole ... more details
In probability theory , Boole s inequality , named after George Boole , also known as the union bound says that for any finite set finite or countable Set mathematics set of Event probability theory event s, the probability that at least one of the events happens is no greater than the sum of the probabilities of the individual events. Formally, for a countable set of events A sub 1 sub , A sub 2 sub , A sub 3 sub , ..., we have math P left bigcup i A i right leq sum i P left A i right . math In measure theory measure theoretic terms, Boole s inequality follows from the fact that a measure and certainly any probability measure is sub additive. Bonferroni inequalities Boole s inequality may be generalised to find upper bound upper and upper bound lower bound s on the probability of finite unions of events. These bounds are known as Bonferroni inequalities , after Carlo Emilio Bonferroni . Define math S 1 sum i 1 n Pr A i , math math S 2 sum i j Pr A i cap A j , math and for 2 k n , math S k sum Pr A i 1 cap cdots cap A i k , math where the summation is taken over all k tuple s of integer s math i 1 i 2 dotsb i k math . Then, for Even and odd numbers odd k 1, math Pr left bigcup i 1 n A i right leq sum j 1 k 1 j 1 S j, math and for Even and odd numbers even k 2, math Pr left bigcup i 1 n A i right geq sum j 1 k 1 j 1 S j. math Boole s inequality is recovered by setting k 1. When k n , then equality holds and the resulting identity is the inclusion exclusion principle . References planetmath id 6049 title Bonferroni inequalities Category Probabilistic inequalities Category Statistical inequalities de Bonferroni Ungleichung es Desigualdad de Boole fr In galit de Boole it Disuguaglianze di Boole e di Bonferroni km ... more details
multiple issues cleanup February 2008 orphan July 2010 Boole is an electronic hybrid act formed in 1996 by Brad Barkett and Mike Barkett at Loyola University Maryland Loyola College in Baltimore, Maryland . The band was formed as a foray into explorations of post modern forms of popular dance music, in contrast to Brad Barkett s experimental music project formed in 1990, The Apologizers. The current live lineup consists of Brad Barkett and Mike Barkett on vocals and saxophones, and Ian Andrew Hall on vocals. Biography In 1996, Boole was formed by Brad Barkett br0d and Mike Barkett The MAB in Baltimore, Maryland, at Loyola College. After appearing on a few compilations and playing a few shows in the local area, boole relocated to scenic Washington, DC. Discography Albums The Wooper Du E.P. Dancing Bull Productions , 1999 Self Titled Boole album Self Titled Dancing Bull Productions, 2000 Pheromones Boole album Pheromones Dancing Bull Productions, 2002 The Vital Few Dancing Bull Productions Sonic Mainline Records , February 14, 2008 Remixes George Boole Boolean HSKL , 1910 The Mask Infekktion U.S. , 2003 80 s Boy Epsilon Minus Alfa Matrix , 2003 Document Assemblage 23 Metropolis Records , 2003 Night Riders Stromkern WTII Records , 2003 Disease Ayria Alfa Matrix , 2003 Burn Witch Burn Severine Ego Likeness Dancing Ferret Discs , 2006 Awakening Talamasca Alfa Matrix , 2003 Nine Dudes Freaking Out Gothsicles , 2009 Covers Rough Sex Lords of Acid , 1997 Move Any Mountain The Shamen , 1999 Mr. Roboto Styx band Styx , 2000 Leipzig Thomas Dolby , 2000 Free Bird Lynyrd Skynyrd , 2001 Everyday Is Halloween Ministry band Ministry , 2002 Subculture New Order , 2003 Compilations Greet The Sun, Subcon.01 Magnetic Resonance , 1998 Outcasts, State of Synthpop 2005 A Different Drum , 2005 ... interview with Boole retrieved from the Internet Archive http replay.waybackmachine.org 20081119000727 ... Site http www.myspace.com booleBoole Myspace http www.discogs.com artist BooleBoole at Discogs Category ... more details
Image Ella A Boole.png thumb Ella A. Boole. Ella Alexander Boole July 26, 1858 March 13, 1952 was a United States U.S. temperance movement temperance leader. In New York state election, 1920 1920 , she unsuccessfully challenged James Wolcott Wadsworth Jr. for the Republican Party United States Republican Party nomination for the United States Senate . After losing the nomination, she ran as a candidate for the Prohibition Party against Wadsworth and the Democratic and Socialist Party candidates in the general election. Wadsworth won easily with 52 of the vote, while Boole came in third place with 7 of the vote, not far ahead of the Socialist Party of America Socialist candidate. ref cite book last Johnson first Willis Fletcher authorlink Willis Fletcher Johnson coauthors Roscoe C. E. Roscoe Conkling Ensign Brown, Walter Whipple Spooner, Willis Holly title History of the State of New York, Political and Governmental publisher The Syracuse Press date 1922 location pages 347 348, 350 url http books.google.com books?as brr 1&id NTKXoJKv1uUC&vid OCLC03658830&dq 22Farmer Labor Party 22&pg PA350&lpg PA350&q Schneiderman 28Farmer Labor 29 15 2C086 ref Boole was president of the Woman s Christian Temperance Union from 1925 to 1933. See also United States Senate election, 1920 References references Persondata Metadata see Wikipedia Persondata . NAME Boole, Ella ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH July 26, 1858 PLACE OF BIRTH DATE OF DEATH March 13, 1952 PLACE OF DEATH DEFAULTSORT Boole, Ella Category 1858 births Category 1952 deaths Category Women in New York politics Category New York Prohibitionists US activist stub ... more details
In mathematics, Boole s rule , named after George Boole , is a method of numerical integration . It approximates an integral math int x 1 x 5 f x ,dx math by using the values of &fnof at five equally spaced points math x 1, quad x 2 x 1 h, quad x 3 x 1 2h, quad x 4 x 1 3h, quad x 5 x 1 4h. , math It is expressed thus Abramowitz and Stegun 1972, p. 886 math int x 1 x 5 f x ,dx frac 2 h 45 left 7f x 1 32 f x 2 12 f x 3 32 f x 4 7f x 5 right text error term , math and the error term is math , frac 8 945 h 7 f 6 c math for some number c between x sub 1 sub and x sub 5 sub . 945 1 × 3 × 5 × 7 × 9. It is often known as Bode s rule, due to a typo in Abramowitz and Stegun 1972, p. 886 that propagated. ref Weisstein, Eric W. Boole s Rule. From MathWorld&mdash A Wolfram Web Resource. http mathworld.wolfram.com BoolesRule.html ref See also Dord References reflist DEFAULTSORT Boole s Rule Category Numerical integration quadrature ... more details
Image Boole Tree.JPG thumb right 300px The Boole tree sixth largest tree in the world Image Boole Tree Top.JPG thumb right 300px The Boole tree, top branches mostly dead The Boole Tree is a giant sequoia in Converse Basin grove in Sequoia National Forest , in the edge of Kings Canyon National Park Kings Canyon , 5 miles 8 km far from General Grant Grove in Kings Canyon National Park in the Sierra Nevada U.S. Sierra Nevada in eastern California . Converse Basin used to be a large grove, but was logged of most of its giant sequoias between 1892 and 1918. Now only perhaps 60 large specimens survive out of thousands. This grove is the largest contiguous grove in the world. The tree was named around 1895 by A.H. Sweeny, a Fresno doctor, after Franklin A. Boole, a supervisor of the logging operation who spared the tree s life due to its great size. Before 1931, it was thought to be the largest tree in the world, but it s now known as the sixth largest tree, after 5 other giant sequoia the General Sherman tree General Sherman tree, the General Grant tree General Grant , the President tree President tree, the Lincoln tree Lincoln tree, and the Stagg tree Stagg tree. ref name biggest cite web url http www.nps.gov archive seki bigtrees.htm title The 30 Biggest Sequoia work Sequoia and Kings Canyon National Park publisher U.S. National Park Service date 13 02 2003 ref Statistics class wikitable Height above base ref name Flint cite book last Flint first Wendell D. title To Find the Biggest Tree date 1987 publisher Sequoia National History Association page 95 ref Convert 268.8 ft m 1 abbr on disp table Circumference at ground Convert 113.0 ft m 1 abbr on disp table Diameter Convert 4.5 ft m 1 abbr on above highest point on ground ref name Flint Convert 25.4 ft m 1 abbr on disp table Diameter Convert 60 ft m 0 abbr on above base ref name Flint Convert 15.6 ft m 1 abbr on disp table Diameter Convert 180 ft m 0 abbr on above base ref name Flint Convert 11.9 ft m 1 abbr on disp table ... more details
Unreferenced date December 2009 Boolean logic is a system of syllogism syllogistic logic invented by 19th century British mathematician George Boole , which attempts to incorporate the empty set , that is, a class of non existent entities, such as round squares, without resorting to uncertain truth value s. In Boolean logic, the universal statements all S is P and no S is P contraries in the traditional Aristotelian schema are compossible provided that the set of S is the empty set. All S is P is construed to mean that there is nothing that is both S and not P no S is P , that there is nothing that is both S and P . For example, since there is nothing that is a round square, it is true both that nothing is a round square and purple, and that nothing is a round square and not purple. Therefore, both universal statements, that all round squares are purple and no round squares are purple are true. Similarly, the subcontrary relationship is dissolved between the existential statements some S is P and some S is not P . The former is interpreted as there is some S such that S is P and the latter, there is some S such that S is not P , both of which are clearly false where S is nonexistent. Thus, the subaltern relationship between universal and existential also does not hold, since for a nonexistent S, All S is P is true but does not entail Some S is P , which is false. Of the Aristotelian square of opposition , only the contradictory relationships remain intact. See also Boolean logic Propositional logic list of Boolean algebra topics DEFAULTSORT Boole s Syllogistic Category History of logic eo Bulea logika konkluda sistemo pt Silog stica booleana zh ... more details
Mary Everest Boole 1832 1916 was a self taught Mathematics mathematician who is best known as an author of didactic works on mathematics, such as Philosophy and Fun of Algebra , and as the wife of fellow mathematician George Boole . Her progressive ideas on education, as expounded in The Preparation of the Child for Science , included encouraging children to explore mathematics through playful activities such as String art curve stitching . Her life is of interest to feminist s as an example of how women made careers in an academic system that did not welcome them. She was born Mary Everest in England , the daughter of a minister, Thomas Everest. Her uncle George Everest gave his name to Mount Everest . She spent the first part of her life in France where she received an education in mathematics ... in mathematics through self instruction. George Boole became her tutor in 1852 and on the death ... to Boole s The Laws of Thought , a work on algebraic logic . She had five daughters by him .... She died in 1916 at the age of 84. Her daughters made their marks in a range of fields. Alicia Boole ... of works including The Gadfly . External links Boole, M. 1909 . http www.gutenberg.org etext 13447 Philosophy and Fun of Algebra . C. W. Daniel, London. Boole, M. 1904 . http www.archive.org details ... http www.agnesscott.edu lriddle women boole.htm Mary Everest Boole , Biographies of Women Mathematicians , Agnes Scott College Boole, M. 1972 . A Boolean anthology Selected writings of Mary Boole on mathematical ... science maths zimaths marybool.htm Biography and picture gutenberg author id Mary Everest Boole name Mary Everest Boole Karen Dee Ann Michalowicz 1996 http books.google.com books?id D21wKHoYGg0C&lpg PP1&pg PA291 v onepage&q &f false Mary Everest Boole An Erstwhile Pedagogist for Contemporary ... Boole, Mary Everest ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1832 PLACE OF BIRTH DATE OF DEATH 1916 PLACE OF DEATH DEFAULTSORT Boole, Mary Everest Category 1832 births Category 1916 deaths Category ... more details
Alicia Boole Stott June 8, 1860 &ndash December 17, 1940 was the third daughter of George Boole and Mary Everest Boole , born in Cork city Cork , Ireland . Before marrying Walter Stott, an actuary, in 1890, she was known as Alicia Boole . She is best known for coining the term polytope to refer to a convex solid in four dimensions, and having an impressive grasp of Fourth dimension four dimensional geometry from a very early age. She found that there were exactly Convex regular polychoron six regular polytopes in four dimensions and that they are bounded by 5, 16 or 600 tetrahedron tetrahedra , 8 cube s, 24 octahedron octahedra or 120 dodecahedron dodecahedra . She then produced three dimensional central cross sections of all the six regular polytopes by purely Euclidean geometry Euclidean constructions and synthetic geometry synthetic methods for the simple reason that she had never learned any analytic geometry . She made beautiful cardboard models of all these sections. After taking up secretarial work near Liverpool in 1889 she met and married Walter Stott in 1890. Stott learned of Pieter Schoute s work on central sections of the regular polytopes in 1895. Schoute came to England and worked with Alicia Stott, persuading her to publish her results which she did in two papers published ... on various problems. Alicia Boole Stott made two further important discoveries relating to constructions ... reference A. Boole Stott Geometrical deduction of semiregular from regular polytopes and space ... Boole Stott , Biographies of Women Mathematicians , Agnes Scott College MacTutor Biography id Stott Persondata Metadata see Wikipedia Persondata . NAME Boole Stott, Alicia ALTERNATIVE NAMES SHORT ... DEFAULTSORT Boole Stott, Alicia Category 1860 births Category 1940 deaths Category 19th century mathematicians ... de Alicia Boole Stott fr Alicia Boole Stott it Alicia Boole nl Alicia Boole Stott pl Alicja Boole Stott ... more details
Wiktionarypar craterCrater may refer to In landforms Impact crater , caused by two celestial bodies impacting each other, such as a meteorite hitting a planet Volcanic crater or caldera , formed by volcanic activity Subsidence crater , from an underground usually nuclear explosion A maar crater, a relief crater caused by a phreatic eruption or explosion pit crater , a crater that forms through sinking of the surface and not as a vent for lava Crater lake Explosion crater , a hole formed in the ground produced by an explosion near or below the surface Other Crater, California , in Inyo County Cratering , when reindeer dig for lichens that sustain them in winter months Crater constellation Joseph F. Crater , a New York judge who mysteriously and famously disappeared in 1930 An alternate ancient name for the Crathis , a river of southern Italy Crater Yemen See also Krater , a Greek vessel used to mix wine and water the original meaning disambig af Krater bg ca Cr ter da Krater de Krater es Cr ter eo Kratero eu Krater argipen fr Crat re gl Cr ter ko hr Krater razdvojba it Cratere he sw Kasoko la Crater hu Kr ter egy rtelm s t lap nl Krater ja no Krater nds Krater pl Krater pt Cratera qu Kratir ru simple Crater disambiguation sl Krater fi Kraatteri t smennyssivu sv Krater th Crater tr Krater ... more details
Infobox animanga Header name The Crater image File Crater 1.jpg 230px caption Cover of The Crater volume 1 from the Osamu Tezuka Manga Complete Works edition ja kanji ja romaji Za Kureetaa genre Horror fiction Horror , Mystery fiction Mystery , Science Fiction Infobox animanga Print type manga author Osamu Tezuka publisher Akita Shoten Publishing demographic Sh nen manga Sh nen magazine Sh nen Champion first August 10, 1969 last April 1, 1970 volumes 3 volume list Infobox animanga Footer nihongo The Crater Za Kur t is a manga by Osamu Tezuka that began serialization in 1969. Plot The Crater is a collection of self contained short stories that follow a wide range of themes. From Horror to Mystery to Science Fiction, each story focuses on different characters in different settings. Some stories have happy endings, while others do not, and only two characters appear in more than one story the boy Okuchin and Osamu Tezuka himself. In a similar tradition as The Twilight Zone 1959 TV series The Twilight Zone , each story has a kind of message presented to the reader via unique ... of bells that will not let them forget. When it ended, The Crater had a total of 17 Episodes. However ... a trace and must fulfill her part of the bargain to the local god. Man in the Crater An astronaut exploring the moon falls into a crater, breaking his back. He watches as his partners leave ... mist forms on the floor of the crater when the sun goes down. This mist turns him into an immortal ... manga Osamu Tezuka Osamu Tezuka s Star System References Reflist Tezuka, Osamu The Crater, vol. 1 , Sh nen Champion Comics, Akita Shoten, 1970, printed in Japan br Tezuka, Osamu The Crater, vol. 2 , Sh nen Champion Comics, Akita Shoten, 1970, printed in Japan br Tezuka, Osamu The Crater, vol. 1 , Akita ... m071 m071 01.html The Crater manga page at TezukaOsamu World en icon http ja.tezuka.co.jp manga sakuhin m071 m071 01.html The Crater manga page at TezukaOsamu World ja icon DEFAULTSORT Crater, The Category ... more details
lunar crater data latitude 63.0 N or S N longitude 94.8 E or W W diameter 65 km depth Unknown colong 95 eponym Friedrich Adolf Paneth Friedrich A. Paneth Paneth is a moon lunar impact crater that is located on the Far side Moon far side of the Moon , just beyond the northwestern limb. It lies just to the north northeast of the crater Smoluchowski crater Smoluchowski , and to the east southeast of BoolecraterBoole on the near side. The rim of Paneth is worn but not inordinately so the edge remains well defined and marked only by small craters along the northwest and southeast. This formation partly overlies a shallower crater Paneth K along the southeast of the rim. Only a narrow strip of terrain separates Paneth from Smoluchowski, and this ground is marked by an elongated crater and a short rille . The interior floor has a central peak formation near the mid point and a pair of small craters along the eastern rim. The inner surface is otherwise relatively flat and marked only by tiny craterlets. 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 Paneth. class wikitable width 25 style background eeeeee Paneth width 25 style background eeeeee Latitude width 25 style background eeeeee Longitude width 25 style background eeeeee Diameter align center A align center 65.3 N align center 94.1 W align center 47 km align center K align center 61.7 N align center 92.9 W align center 31 km align center W align center 65.0 N align center 101.2 W align center 28 km References Lunar crater references Category Impact craters on the Moon Moon crater stub ... more details
lunar crater data latitude 67.5 N or S N longitude 90.6 E or W W diameter 85 km depth Unknown colong 92 eponym Luigi Cremona Cremona is a moon lunar Impact cratercrater that is located long the north northwestern limb of the Moon . From the Earth this crater is viewed from the side, and the visibility is affected by libration effects. To be viewed in any detail, this crater must be seen or photograph ed from orbit. It is located midway between the craterBoolecraterBoole to the south southeast and, on the Far side Moon far side of the Moon, the crater Lindblad crater Lindblad . This is a relatively old, worn crater that is overlaid by a number of smaller craters. The rim has been worn down and rounded by lesser impacts, leaving only a wide depression in the surface with somewhat irregular interior walls. Small craters lie across the north and northwestern rims, and the satellite crater Cremona L is laid across the southern rim. A band of tiny craterlets lies across the northeastern part of the rim, continuing part of a pattern of multiple craterlets that continue to the north. The craters Cremona B and C form a double crater pair in the northwestern part of the floor. The inner wall on the western side is unusually wide, forming a rough interior surface. The floor in the eastern half is more level, and contains the remnant of a central peak attached to the eastern rim of Cremona C. 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 Cremona. class wikitable width 25 style background eeeeee Cremona width 25 style background eeeeee Latitude width 25 style background eeeeee Longitude width 25 style background eeeeee Diameter align center A align center 69.6 N align center ... www.google.com moon lat 66.981666&lon 90.944824&zoom 6&map visible&apollo &chart 1,6&q Cremona 20 crater References Lunar crater references Category Impact craters on the Moon da Cremona m nekrater it Cremona ... more details
Cassini crater can mean Cassini lunar crater , a crater on the Moon Cassini Martian crater , a crater on Mars See also Cassini disambiguation geodis ... more details
Copernicus crater can refer to the following Copernicus lunar crater , a crater on the Moon. Copernicus Martian crater , a crater on Mars. disambig pl Kopernik krater ... more details
Pasteur crater may refer to Pasteur lunar crater , a crater on the far side of the moon Pasteur Martian crater , a crater in the Arabia quadrangle of Mars geodis ... more details
More than one Impact cratercrater has been named Denning Denning lunar craterCrater on the Moon Denning Martian craterCrater on Mars disambig ... more details
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