Both x and c are column vectors with n elements ( n × 1 matrices ), and Q is a symmetric n × n matrix.

Both of them rely on the established claim ( under JTB ) that justification is preserved by entailment, and the further claim that such applies significantly, or can be applied there coherently to the " stipulation " attributed to Smith's putative " belief " in the case of this particular counter-example: that is, that if Smith is justified in believing P, and Smith realizes that the truth of P entails the truth of Q, then Smith would also be justified in believing Q. Gettier calls these counterexamples " Case I " and " Case II ":

Both the Q & A and TimeLine product groups were healthily profitable.

Susie Q Right: Both feet are placed together facing the center of the circle.

Both Q and its adjoint anticommute with themselves.

Both sides during the world wars used this tactic, most famously the Royal Navy's Q ships.

Both British novelist Stewart Home and American novelist David Liss have given an interpretation of Q as an " anti-novel ", although their respective analyses bring to different conclusions.

Both of these Utah bookstores trace their organizational roots to George Q. Cannon, a Latter-day Saint General Authority.

Both skippers were awarded the Distinguished Service Cross and a present of £ 200 for this action, and Crisp was offered a promotion and transfer to an ocean – going Q – ship.

* Q: If there are power shortages, which will you keep running, the cappuccino machine or the air conditioner? A: Both.

Both parents were from pioneer Gwinnett County families, Elisha Winn ( 1777 – 1842 ) and Adam Q. Simmons ( 1786 – 1863 ).

Both The Daily Telegraph and The Guardian described the acquittal as embarrassment to the Brown Ministry.

* Guardian from French ( Both " warden " and " guardian " are derived from Germanic.

Both boys were eventually placed into the Angel Guardian Home in Harlem, prior to being fostered by a couple in Brooklyn.

Both parliaments gave unanimous votes of thanks, each captain who served in the battle was presented with a specially minted gold medal and the first lieutenant of every ship engaged in the battle was promoted to commander.

Both Eric and Brian tended to play technical solos at fast speeds and with overlapping riffs, which gave Deicide the definitive heavy sound and complex song structures.

Both the Synoptic Gospels and the Gospel of John report that people gave Jesus this form of honour.

Both Anna Maria and Europa gave up art upon marrying, while Lucia Anguissola, the best painter of Sophonisba's sisters, died young.

Both Gardens were prominent cycling venues, which gave rise to the track cycle racing that ultimately carried their name — and thereby became an indirect tribute to James Madison.

Both later amended their conflict when Susanoo gave her the Kusanagi-no-Tsurugi sword as a reconciliation gift.

Both Governor General of Canada Lord Tweedsmuir and Mackenzie King hoped that the King's presence in Canada would demonstrate the principles of the Statute of Westminster 1931, which gave full self-government to the British Dominions and recognised each Dominion as having a separate crown.

Both Hopper and his wife posed for the figures, and Jo Hopper gave the painting its title.

Both The New York Times and Washington Post gave it average reviews, noting that it was a fairly standard Seagal action film.

Both the white and black Williams met, and the white William gave the black William his last name so he could serve in the 54th.

Both Zeus and Apollo favored him, and Zeus gave him his oracular talent.

Both the Roman Catholic Church and the Eastern Orthodox Church contend that they are still in harmony with the teachings and practices Jesus gave the Apostles, and that Jesus ' promise has been fulfilled: " On this rock I will build my church, and the gates of Hell shall not prevail against it.

Both daughters married white men, whereupon Johnson gave them large tracts of land from his own holdings.

Both in England and France, Morphy gave numerous simultaneous exhibitions, including displays of blindfold chess in which he regularly played and defeated eight opponents at a time.

Both Bashō and Yoshitada gave themselves, or haikai pen names ; Bashō's was, which was simply the on ' yomi reading of his adult name of.

Both gave birth to " 60 Daughters ".

Both shorts were nominated for Academy Awards and Columbia gave the studio permission to create its own new characters.

Both countries gave different accounts of the incident, each accusing the other of initiating the hostilities.

Both Huxley and his grandfather gave Romanes Lectures on the possible connection between evolution and ethics.

Both Allmusic and Rolling Stone gave the album four stars out of five.

Both bartered with their gods for the upper hand, until the Gree gave too much away, and became a food source for the Ferengi.

Both prophets have some similar teachings e. g. Muhammad and Jesus Christ gave the lesson of monotheism which is mentioned in the book of Deuteronomy 6: 4, in Mark 12: 29 and in the Al-Quran 112: 1-4 and both are against division of God's oneness ( shirk ) which is written in the Exodus20: 2-5 and is also in the Quran.

Both the Scharnhorst and the Gneisenau were armed with eight 8-inch guns each, which gave them an overwhelming advantage in range and firepower.

Both games were highly received in most magazines ; for example, Amstrad Action gave Rick Dangerous 2 a 97 % rating.

Both survived when Paddy, having crawled through the ducting system, found them and gave Ferguson the keys – on the condition she carry the unconscious Bea to safety.

Both have four atoms arranged in a tetrahedral structure in which each atom is bound to each of the other three atoms by a single bond.

Both versions are initiated by a bid of four notrump ( 4NT ), and the entire family of conventions may be called Blackwood 4NT in both versions, or Key Card 4NT in the key card variation.

Both models were offered in a variety of cases, the 1200 with seven slots, the 1210 with four and the 1220 with fourteen.

Both the US liquid and imperial gallon are divided into four quarts ( quarter gallons ), which in turn are divided into two pints.

Both Syrian and Russian hamsters mature quickly and can begin reproducing at a young age ( 4 – 5 wk ), whereas Chinese hamsters will usually begin reproducing at two to three months of age, and Roborovskis at three to four months of age.

Both were initially sentenced to 6 months in prison for immigration offenses, but Hamdani was cleared on appeal and Göldi's sentence was reduced to four months.

In 1615, the shipwreck and death of governor Pieter Both, who was coming back from India with four richly laden ships in the bay, caused the route to be considered as cursed by Dutch sailors, and they tried to avoid it as much as possible.

Both movies contained the Bill Haley & His Comets hit " Rock Around the Clock ", which first entered the British charts in early 1955 – four months before it reached the US pop charts – topped the British charts later that year and again in 1956, and helped identify rock and roll with teenage delinquency.

Both parents are buried under the floor of Kågeröd Church, four kilometres east of Knutstorp.

Both Willow ( in the season one episode " Witch ") and Spike ( in the season four episodes " The I in Team " and " The Yoko Factor ") have used the term in the show on different occasions.

Both two or four wire HDSL equipment transmits and receives over the same cable wire pair, as compared to conventional T1 service that utilizes individual cable pairs for transmit or receive.

" Both A Streetcar Named Desire ( 1951 ) and On the Waterfront were nominated for twelve Academy Awards, respectively winning four and eight.

Both AltiVec and SSE feature 128-bit vector registers that can represent sixteen 8-bit signed or unsigned chars, eight 16-bit signed or unsigned shorts, four 32-bit ints or four 32-bit floating point variables.

Both films, likewise, heavily expanded the personalities of the four " bad " children and their parents from the limited descriptions in the book.

Both the four stage Juno I and three stage Jupiter-C launch vehicles were the same height ( 21. 2 meters ), with the added fourth stage booster of the Juno I being enclosed inside the nose cone of the third stage.

Both leagues were forced to fold ; the ACFL and half the SFL folded immediately, with two teams joining the four remaining SFL teams to play in 1974.

Both Vince McMahon, Sr. and Vince McMahon, Jr. were inducted in to the Madison Square Garden walk of fame, and altogether four generations of the McMahon family have promoted events at the Garden.

Both enjoyed a fair amount of success in doing so, perhaps most famously when Arguello knocked out former champion Billy Costello in four rounds.

Both fountains had the same form: a stone basin ; six figures of tritons or naiads holding fish spouting water ; six seated allegorical figures, their feet on the prows of ships, supporting the pedestal, of the circular vasque ; four statues of different forms of genius in arts or crafts supporting the upper inverted upper vasque ; whose water shot up and then cascaded down to the lower vasque and then the basin.

Both types have four categories.

Both sides suffered nearly four thousand casualties during this engagement.

Both consisted of selections from the 1999 four disc project Music to Paint By.

Both have received some of the most favourable reviews of Plant's solo career and four Grammy nominations, two in 2003 and two in 2006.

Both the mayor and city council serve four year terms.