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the problem of estimating length of synchronizing words has long history , posed independently several authors, commonly known Černý conjecture. in 1964 jan Černý conjectured (n − 1) upper bound length of shortest synchronizing word n-state complete dfa (a dfa complete state transition graph). if true, tight: in 1964 paper, Černý exhibited class of automata (indexed number n of states) shortest reset words have length. best upper bound known (n - n)/6, far lower bound. for n-state dfas on k-letter input alphabet, algorithm david eppstein finds synchronizing word of length @ 11n/48 + o(n), , runs in time complexity o(n+kn). algorithm not find shortest possible synchronizing word given automaton; eppstein shows, problem of finding shortest synchronizing word np-complete. however, special class of automata in state transitions preserve cyclic order of states, describes different algorithm time o(kn) finds shortest synchronizing word, proves these automata have synchronizing word of lengt

1 j 1.1 jacondan 1.2 jagaroth 1.3 jagrafess 1.4 jixen 1.5 judoon j jacondan jagaroth the jagaroth ancient , extinct race of aliens introduced in fourth doctor serial city of death. doctor remarked jagaroth vicious, callous, warlike race whom universe won t miss. story reveals life on earth moved being amino acids in primordial soup functioning cells because jagaroth space ship exploded on earth 400 million years ago. the sole surviving jagaroth, scaroth, manipulated human civilisation advance species technologically, in effort create time machine use prevent initial explosion. jagrafess the jagrafess large, slimy, creature attached ceiling of floor 500 on satellite five. wanted control earth through use of news station. jagrafess not survive in extreme heat , killed after 1 of reporters purposely channelled heat towards floor 500. had human servant called editor, called max after full title: mighty jagrafess of holy hadrojassic maxarodenfoe. jixen jixen race of turtle-like warriors f

some buried caesar first appeared in abridged form in american magazine (december 1938), watercolor illustrations ronald mcleod (1897–1977) while on way rural exposition in upstate new york show orchids, nero wolfe , archie goodwin involved in minor car accident. while on way nearby house phone help, threatened large bull, rescued caroline pratt, local golf champion, , acquaintance lily rowan. house , bull belong thomas pratt, caroline s uncle , owner of large chain of successful fast food restaurants, , has purchased bull -- champion guernsey called hickory caesar grindon -- in order barbecue part of publicity stunt. while wolfe , archie enjoy pratt s hospitality, meet several of pratt s family , neighbours -- jimmy pratt, pratt s indolent son; monte mcmillan, original owner of caesar, sold bull pratt after falling financial difficulties; clyde osgood , sister nancy, children of pratt s neighbour frederick osgood; , new yorker named howard bronson, apparently friend of clyde. there te

in 1916, 12-year-old suzuki decided train disciple of father, gyokujun so-on suzuki. so-on sogaku s adopted son , abbot of sokagu s former temple zoun-in. parents thought young live far home allowed it. zoun-in in small village called mori, shizuoka in japan. suzuki arrived during 100-day practice period @ temple , youngest student there. zoun-in larger temple shōgan-ji. at 4:00 each morning arose zazen. next chant sutras , begin cleaning temple others. work throughout day , then, in evenings, resume zazen. suzuki idolized teacher, strong disciplinarian. so-on rough on suzuki gave him latitude being young. when suzuki turned 13, on may 18, 1917, so-on ordained him novice monk (unsui). given buddhist name shogaku shunryu, yet so-on nicknamed him crooked cucumber forgetful , unpredictable nature. shunryu began again attending upper-elementary school in mori, so-on did not supply proper clothes him. subject of ridicule. in spite of misfortune didn t complain. instead doubled efforts @ tem

since 2004, united states (us) has been conducting controversial strikes own ucav systems in pakistan s north-west territories, target suspected militants in region. years, pakistan had been pushing allow acquire mq-1 predator, main ucav system uses in strikes, such requests denied amid fear of technology proliferation. burraq development thought have begun in 2009, contract being awarded nescom in close coordination pakistan air force. growing frustration on refusal , politicization of ucav strikes in country, burraq program thought have picked speed in secrecy. in 2012, china offered selling pakistan armed drones had developed, questions raised capabilities of drones. first few models of burraq capable of surveillance , intelligence gathering, , lacked offensive combat capability. of these models used pakistani military track down militants. first combat capable version of burraq first publicly demonstrated in march 2015. the burraq thought influenced predator , chinese casc rainbow

henry ran candidate in democratic primary 2007 election governor of kentucky. raised $1.5 million campaign, approximately $700,000 of loan (which never repaid) henry own campaign. polls showed him @ or near head of pack in democratic primary due name recognition. however, henry finished third in primary on 60,000 votes (17%), behind bruce lunsford s 21% , winner steve beshear s 41% (over 142,000 votes) on election night henry conceded , pledged support beshear general election.

1954 cinemascope film title card gregory peck, buddy ebsen, broderick crawford, , peter van eyck in hospital scene (r2 dvd cinemascope version) peck, ted avery, crawford, marianne koch shown in front of kaiser wilhelm memorial church in american sector of occupied berlin (r2 dvd cinemascope version) the screenplay developed under title cannibals, phrase used in dialogue describe kidnappers of corporal leatherby. in july 1953 new york times reported title changed night people avoid audiences anticipating african adventure. title taken property owned fox, science fiction vehicle star richard widmark never produced. nunnally johnson had been seeking project break directing, , approached darryl f. zanuck direct night people. zanuck amenable, informed him peck had contractual rights veto studio s choice of director , might not want without experience. however, peck , nunnally johnson friends , had worked on gunfighter in 1950, johnson had produced , re-scripted. peck s confidence in him h

1 works 1.1 children books 1.2 popular science books 1.3 scientific books , surveys works children books the poster book of dinosaurs, hodder children s books, 1988 (illustrations john sibbick) the humongous book of dinosaurs, publisher: stewart, tabori , chang (april 1997) ; isbn 978-1556705960 the big book of dinosaurs, publisher: welcome books (april 2001) ; isbn 978-0941807487 dinosaurs sticker book, usborne sticker books, 2010, isbn 978-1409520610 popular science books spotter s guide dinosaurs & other prehistoric animals, usborne publishing, london, 1980 (illustrations bob hersey) when dinosaurs ruled earth, simon & schuster, new york, 1985 (illustrations john sibbick) the age of dinosaurs, hodder wayland, november 1985 dinosaurs!, e.d.c. publishing, december 1985 (illustrations ruth thomson , bob hersey) dinosaur, co-authored angela milner, dorling kindersley eyewitness books, london, 1989 dinosaur!, publisher: john wiley & sons inc., 1991, isbn 978-0-13-218140-2 (th

1 playing career 1.1 career 1.2 2016 1.3 2017 playing career early career in 2013, crichton played australian schoolboys rugby union team. spent time in rugby league sydney roosters lower grade teams in 2014, before again playing australian schoolboys rugby union team same year. on 31 october 2014, signed 2-year contract south sydney rabbitohs starting in 2015. in 2015, played rabbitohs nyc team, before re-signing them late in year on 2-year contract until end of 2018. 2016 in 2016, crichton graduated rabbitohs new south wales cup team, north sydney bears. in round 19 of 2016 nrl season, made nrl debut rabbitohs against brisbane broncos. 2017 the 2017 season crichton s breakout year earned rave reviews in otherwise disappointing south sydney side. finished season 22 appearances , 7 tries including hat-trick against gold coast titans.

1 history 1.1 career (1990–1994) 1.2 success , breakthrough (1994–1996) 1.3 post-breakup (1996–2007) 1.4 reunion (2007–2014) 1.5 @ war reality (2014–2016) 1.6 departure of anders björler , sixth studio album (2017–present) history early career (1990–1994) at gates formed in 1990 former members of death/black metal band grotesque. recorded debut ep, gardens of grief, dolores record label. ep led seminal metal label peaceville records sign band, , released debut full-length album, red in sky ours in 1992. after recording of second studio album, fear kiss burning darkness, founding member , guitarist alf svensson left band in 1993 pursue tattoo artistry, graphic novel illustration , solo electronic-opera-black metal project oxiplegatz. replaced former house of usher guitarist martin larsson, band knew underground tape trading. band continued touring europe, , filmed headbangers ball special feature in nottingham, uk in july 1993. success , breakthrough (1994–1996) in 1994, @ gates release

^ bob gilmore (1961–2015) ^ lawrence gushee ^ colin sauer, violinist – obituary . telegraph. 2015-04-30. retrieved 2015-05-02.  ^ margalit fox (2015-01-18). yoko nagae ceschina, countess , fairy godmother arts, dies @ 82 . new york times. retrieved 2015-01-21.  ^ mezzo elena obraztsova has died . gramophone. 2015-01-12. retrieved 2015-01-15.  ^ bob keyes (2015-01-13). maine pianist, bates artist-in-residence frank glazer dies @ 99 . portland press-herald. retrieved 2015-01-15.  ^ tribute vera gornostayeva ^ adam bernstein (2015-01-20). ward swingle, musician made bach swing, dies @ 87 . washington post. retrieved 2015-01-21.  ^ conductor israel yinon has died . gramophone. 2015-01-30. retrieved 2015-01-31.  ^ morto aldo ciccolini, il grande pianista che amava firenze. aveva 90 anni (in italian) ^ maureen o donnell , miriam di nunzio (2015-02-03). arts critic andrew patner dies @ 55; versatile chicago writer, radio host . chicago sun-times. retrieved 2015-02-06.  ^ margalit fox (

the prinsenvlag or prince s flag , featuring blue, white, , orange of new york city s flag , others. the colors of flag of new york city, of albany , of nassau county of old still used dutch flag. blue, white , orange seen in materials new york s 2 world s fairs , uniforms of new york knicks basketball club, new york islanders hockey club, , new york mets baseball club. hofstra university, founded in 1935, takes flag original. the 7 arrows in lion s left claw in republic s coat of arms, representing 7 provinces, precedent thirteen arrows in eagle s left claw in great seal of united states. any review of legacy of new netherland complicated enormous impact of washington irving’s satirical history of new york , famous fictional author diedrich knickerbocker. irving’s romantic vision of enlightened, languid dutch yeomanry dominated popular imagination colony since publication in 1809. day, many mistakenly believe irving’s 2 famous short stories, rip van winkle , legend of sleepy hollo

1 united states 1.1 history of epa’s chromium policies in united states 1.2 current policies in united states 1.3 pending regulations in united states 1.4 california 1.4.1 davenport 1.4.2 paramount 1.4.3 hinkley 1.5 illinois 1.6 massachusetts 1.7 missouri 1.8 texas 1.9 wisconsin united states history of epa’s chromium policies in united states prior 1970, federal government had limited reach in monitoring , enforcing environmental regulations. local governments tasked environmental monitoring , regulations, such monitoring of heavy metals in wastewater. examples of can seen in larger municipalities such chicago, los angeles, , new york. specific example in 1969, chicago metropolitan sanitary district imposed regulations on factories identified having large amounts of heavy metal discharge. on december 2, 1970 environmental protection agency (epa) formed. formation of epa, federal government had funds , oversight influence major environmental changes. following formation of epa, united

coming off home win on bengals, jets flew oakland–alameda county coliseum week 7 duel oakland raiders, brett favre s first trip stadium since 2003 monday night game played in aftermath of father s death. in first quarter, new york took flight kicker jay feely got 40-yard field goal. raiders responded kicker sebastian janikowski getting 29-yard field goal. after scoreless second quarter, oakland took lead qb jamarcus russell completed 8-yard td pass wr javon walker. in fourth quarter, jets answered rb leon washington getting 11-yard td run. raiders regained lead janikowski got 37-yard field goal. favre orchestrated remarkable final drive, culminating in feely 52-yard field goal 3 seconds left sent game overtime. jets won in regulation, jerricho cotchery tripped last oakland defender, preventing have been game-winning touchdown. oakland prevailed in overtime, janikowski nailed game-ending 57-yard field goal, holds nfl record longest fg converted in overtime. with loss, jets fell 3–3. sco

boston corbett lt. colonel everton conger thought booth had shot himself. after realizing booth had been shot else, conger , lt. doherty asked officer had shot booth. corbett stepped forward , admitted shooter. when asked why had violated orders, corbett replied, providence directed me . arrested , accompanied lt. doherty war department in washington, d.c. court martialed. when questioned edwin stanton booth s capture , shooting, both doherty , corbett agreed corbett had in fact disobeyed orders not shoot. however, corbett maintained believed booth had intended shoot way out of barn , acted in self-defense. stated, ...booth have killed me if had not shot first. think did right. stanton paused , stated, rebel dead. patriot lives; has spared country expense, continued excitement , trouble. discharge patriot. upon leaving war department, corbett greeted cheering crowd. made way mathew brady s studio have official portrait taken, crowd followed him asking autographs , requesting tell

1879 statute of antisemitic league, organization first popularized term the terms anti-semite or antisemitism came circuitous route refer more narrowly hostile or discriminatory towards jews in particular. anthropologists of 19th century such ernest renan readily aligned linguistic groupings ethnicity , culture, appealing anecdote, science , folklore in efforts define racial character. moritz steinschneider, in periodical of jewish letters hamaskir (3 (berlin 1860), 16), discusses article heymann steinthal criticising renan s article new considerations on general character of semitic peoples, in particular tendency monotheism . renan had acknowledged importance of ancient civilisations of mesopotamia, israel etc. called semitic races inferior aryan monotheism, held arise supposed lustful, violent, unscrupulous , selfish racial instincts. steinthal summed these predispositions semitism , , steinschneider characterised renan s ideas anti-semitic prejudice . in 1879 german journali

in september 2009, here media launched new online portal on gay.com. site provides user-friendly social networking system members can enjoy safe , comfortable online environment meet like-minded men. members have immediate access on ten million profiles. members can message other members. according comscore.com, gay.com showed 20% increase in traffic in 2013. in may 2012, here media introduced mobile version of gay.com. in january 2013, here media launched redesigned gay.com web property. in september 2013 , november 2013, here media launched android , ios version, respectively.

1 career 1.1 military , academic 1.2 heritage foundation 1.3 policy papers 1.4 congress , media appearances 1.5 trump transition team career military , academic carafano served 25 years in army in europe, south korea, , u.s., , rose rank of lieutenant colonel. during time, served head speech writer army chief of staff , executive director of joint force quarterly, defense department s military journal. carafano has taught @ mount saint mary college in new york , served fleet professor @ u.s. naval war college. has been assistant professor @ u.s. military academy @ west point, and, of 2011, serves visiting professor @ national defense university @ fort lesley mcnair in washington , @ georgetown. dr. carafano joined institute of world politics in washington, d.c. in 2013 adjunct professor. member of national academies board on army science , technology, department of army historical advisory committee, , senior fellow @ george washington university homeland security policy institute. her

1 results 1.1 pro12 1.2 rugby challenge cup 1.2.1 pool 2 1.2.2 quarter-finals 1.3 champions cup play-offs 1.3.1 match 1 results pro12 rugby challenge cup pool 2 quarter-finals champions cup play-offs match 1

the first congregational church, built in 1872, has tallest spire downtown the downtown area, particularly north street , east/west main street, has variety of ethnic eateries , various small shops. children s science museum, called interactive museum, , number of churches located in neighborhood. city has movie theaters, historic paramount theatre, local arts council, bowling alleys, wall , wosr radio stations , thrall library downtown. there active civic organizations: boy scouts of america , girl scouts of usa chapters, lions club, elks club, kiwanis, rotary club , other service clubs. rotary club runs annual horse show @ fancher davidge park each fall. middletown site of orange county fair each summer , orange county fair speedway. shopping in area includes galleria @ crystal run, mall east of middletown, , long retail strip along route 211 on east side of town. middletown has works 2 prominent architects: hillside cemetery designed british architect , landscape designer calvert va

wilson barrett , maud jeffries: sign of cross (1895) by 1890s, london stage coming under new influences, , wilson barrett s vogue in melodrama had waned, leaving him in financial difficulties. 1894 toured united states, including american , knickerbocker theatres of broadway. still there in 1895, barrett found fortune again production become successful, historical tragedy sign of cross—which produced in united states @ grand opera house, st. louis, missouri on 28 march 1895; in united kingdom, @ grand theatre, leeds, on 26 august 1895; in london, @ lyric theatre, london on 4 january 1896; , in australia, @ majesty s theatre, sydney on 8 may 1897—in barrett played marcus superbus, old roman patrician of years of nero, falls in love young woman, mercia (originally played maud jeffries) , converts christianity her, both sacrificing lives in arena lions. plot in ways resembles contemporary novel quo vadis, , may have been unofficial adaptation of it, though barrett never acknowledged this

1 during war 1.1 1861 1.2 1862 1.3 1863 1.4 1864 during war 1861 confederate troops began construction on july 7, 1861, under orders of confederate engineering officer, lieutenant collier, assisted detachment of federal prisoners. supervision of construction may have been under major william h.c. whiting, chief engineer gen. johnston, , fort occupied army of shenandoah during winter of 1861 1862, under command of general johnston. fell under valley district, commanded majgen stonewall jackson 1 of 3 districts under department of northern virginia. stonewall jackson s headquarters located south of fort. on august 21, 1861, fort described in diary of harriet h. griffith: i have day visited breastworks or fortifications on martinsburg pike father , johnnie. exceedingly interested. first work of kind d ever seen. first time ever near cannon. looked them. there 4 cannons planted , ammunition there. great many men working [and i] saw magazines. have several rifle ports seem secure. have read

1 transportation 1.1 aircraft 1.2 land vehicles 1.3 ships transportation aircraft eclipse aviation, aircraft manufacturer eclipse 400, light jet aircraft developed never produced eclipse 500, light jet aircraft produced 2006 2008 phase 3 eclipse, ultralight aircraft sol eclipse, brazilian paraglider design land vehicles mitsubishi eclipse, sport compact car mitsubishi eclipse cross, crossover, not related sports car wright eclipse, bus body ships eclipse (yacht), owned russian billionaire roman abramovich eclipse, trimaran sailboat designed robert b. harris celebrity eclipse, 2010 cruise ship eclipse-class cruiser, 19th-century class of british royal navy cruisers hms eclipse, name of several british royal navy ships uss eclipse (sp-417), united states navy patrol vessel in commission 1917 1919

goofy takes time demonstrate america s national pastime, plays game - 1 in plays bases. short describes basics of baseball in humorous terms; equipment, uniforms, positions, , pitches, mannerisms of players. switches game in progress, deciding game in world series between fictional blue sox , gray sox (possibly parody of real-life chicago white sox , boston red sox). blue sox 3 runs , working no-hitter when grays rally in bottom of ninth. in series of events grays load bases, leading base clearing hit. the game tied, play @ plate close call umpire, , ends in argument. narrator concludes short praising values of makes baseball america s sport.

1 history of former monastery of sainte-marie-d’en-haut 1.1 origin of monastery 1.2 differents occupiers 1.3 building , chapel 1.4 chapel’s ceiling 1.5 cloister garden 1.6 collections , documentary center history of former monastery of sainte-marie-d’en-haut origin of monastery this monastery of order of visitation of holy mary first founded in context of counter-reformation in 17th century. congregation, women, created in 1610 saint francis de sales , saint jane frances de chantal settled fourth house in grenoble , named monastery of sainte-marie-d’en-haut. building erected between 1619 , 1621 on right bank of isère river, above city, @ bottom of bastille hill’s slopes, long of chalemont sloping road. @ time, chalemont road, former roman road, no longer historical entry of city new road, dug in rocks along river. new road added new door in 1620, known porte de france (france’s gate) duke of lesdiguières. the differents occupiers this monastery welcomed several kinds of occupiers. duri

1 speciality wines 1.1 ice wine 1.2 fruit wines 1.2.1 entice 1.2.2 cerise speciality wines ice wine on years when weather permits chantal preserves portion of riesling grapes harvested after first hard freeze. ice wine first produced in michigan in 1983 mark johnson, working @ chateau grand traverse @ time. chantal continues follow german laws govern wine qualifies ice wine. german wine law similar united states wine law , both dictate ice wine must picked when grapes frozen on vine. because of impossibility of predicting nature, making ice wine requires great deal of luck. grapes picked in december after prolonged below freezing temperatures, ensure frozen way through. on warmer years grapes cannot picked until late january or february. can difficult protect grapes birds , wind stay on vine until after ripe. leaving grapes on vine until first hard freeze ensures grapes have reached full ripeness while ice captures excess water leaving naturally concentrated sugars. ice wine referred

care commemorative u.s. stamp with broadened geographic focus came broadened approach care began expand beyond original food distribution program. in order reflect these new broader aims, in 1959 care changed meaning of acronym second time, becoming cooperative american relief everywhere . reflecting broadened scope, care became involved in 1961 president john f. kennedy s establishment of peace corps. care charged selecting , training first group of volunteers, later deployed development projects in colombia. peace corps assumed greater control on training of peace corps volunteers in subsequent missions, care continued provide country directors peace corps until care-peace corps joint projects ended in 1967. in 1962 care merged , absorbed medical aid organization medico, had been working closely several years previously. merger considerably increased care s capacity deliver health programming including trained medical personnel , medical supplies. during transition original care pac

james silk buckingham led campaign public libraries in mid 19th century. although mid-19th century, england claim 274 subscription libraries , scotland, 266, foundation of modern public library system in britain public libraries act 1850. act first gave local boroughs power establish free public libraries , first legislative step toward creation of enduring national institution provides universal free access information , literature. in 1830s, @ height of chartist movement, there general tendency towards reformism in united kingdom. capitalist economic model had created significant amount of free time workers, , middle classes concerned workers’ free time not being well-spent. prompted more victorian middle class paternalism rather demand lower social orders. campaigners felt encouraging lower classes spend free time on morally uplifting activities, such reading, promote greater social good. in 1835, , against government opposition, james silk buckingham, mp sheffield , supporter of te

1 honours 1.1 domestic competitions 1.1.1 national leagues 1.1.2 national cups honours domestic competitions national leagues indonesia super league champions: 2009–10 runners-up (2): 2010–11, 2013 liga indonesia premier division champions: 2004 galatama champions: 1992–93 national cups bali island cup champions (2): 2015, 2016 bhayangkara cup champions (2): 2016, 2017 east java governor cup champions: 2013 inter island cup champions: 2014 menpora cup champions: 2013 president cup champions: 2017 third-place: 2015 soeratin cup champions: 2007 piala indonesia champions (2): 2005, 2006 piala galatama runners-up: 1992 ^ perserikatan 1951–1994 . archived original on 21 may 2012. retrieved 6 november 2014.  ^ cite error: named reference sjrh invoked never defined (see page). ^ piala presiden: arema cronus juara 3, joko susilo kecewa (in indonesian). retrieved 6 march 2016.  ^ arema juarai piala suratin 2007 (in indonesian). retrieved 6 november 2014.  ^ indonesia 1991/92 . 

inside tianguis dedicated shoes on grounds of estadio azteca stadium in mexico city the organization , function of city tianguis same in rural areas; merchandise varies , there problems associated holding type of event in more crowded city. 1 of oldest continually operating tianguis in mexico 1 in cuautitlán, outside mexico city, has been going on every tuesday on 500 years. market established in 1491 chichimecas when area rural , way station between mexico city , points north. since then, cuautitlan has become crowded part of greater mexico city, tianguis still in same place , operated more or less in same manner. market congregates 7,500 vendors various municipalities , states such michoacán, puebla, pachuca , municipalities of northern mexico state. extends on 250,000 m2. there efforts move away center , near municipal border tultitlán, merchants have refused moved. due change in tastes needs of customers, urban tianguis focus on different merchandise. produce , other basic staples

parfum ep (force inc. 1992) show ep (dhr 1996) in flames (1995–1999) (dhr fatal 1999) in flames ep (dhr fatal 1999) in flames remix ep (dhr fatal 2000) no games no fun (fatal 2003) future noir (fatal 2004) get (rustblade 2011) fatal box (limited edition box set. includes: future noir, no games no fun, bonus cd of new tracks , remixes, plus postcards, sticker, cameo pin.) (rustblade 2011) fatal bag (50-copy limited edition set. includes: on cd; future noir on lp – signed; bonus cd of new tracks , remixes; plus postcards, sticker, cameo pin, deluxe glass butterfly pendent , earrings; certificate of authenticity.) (rustblade 2011) love - fantome digital single including electrosexual remix(snowhite 2014) makes sense - fantome (snowhite 2014) hold me - kraken - featuring electrosexual (fatal recordings)

works simeon eben baldwin @ project gutenberg works or simeon eben baldwin @ internet archive governor simeon eben baldwin connecticut state library governor simeon eben baldwin connecticut heritage gateway baldwin family papers @ yale university simeon eben baldwin @ find grave the administration of governor simeon e. baldwin, 1911-1915 connecticut heritage simeon eben baldwin: lawyer, social scientist, statesman frederick h. jackson jstor yale law school - center corporate law yale university religion still key history - presidential address american historical association, 1906 american historical association american business corporations before 1786 skull & bones 1861 yale university sherman genealogy including families of essex, suffolk , norfolk, england thomas townsend sherman baldwin-greene-gager family of connecticut @ political graveyard sherman-hoar family @ political graveyard  this article incorporates public domain material biographical directory of united states con

1 related identities 1.1 variant using complete homogeneous symmetric polynomials 1.2 expressing elementary symmetric polynomials in terms of power sums 1.3 expressing complete homogeneous symmetric polynomials in terms of power sums 1.4 expressing power sums in terms of elementary symmetric polynomials 1.5 expressing power sums in terms of complete homogeneous symmetric polynomials 1.6 expressions determinants related identities there number of (families of) identities that, while should distinguished newton s identities, closely related them. a variant using complete homogeneous symmetric polynomials denoting hk complete homogeneous symmetric polynomial sum of monomials of degree k, power sum polynomials satisfy identities similar newton s identities, not involving minus signs. expressed identities of in ring of symmetric functions, read k h k = ∑ i