title: Bo Xilai

text: Bo's downfall elicited strong reactions among the Chinese public and with commentators across the political spectrum. Leftist websites such as "Utopia", "Red China", and "Maoflag" were full of angry commentary over Bo's dismissal. These websites were shut down for a period of "maintenance" shortly after. Leftist commentators voiced support for Bo: Kong Qingdong called Bo's dismissal 'a plot by enemies of the state'; Sima Nan said associating Bo with the Cultural Revolution was a 'smear campaign'; Sima's pro-Bo microblogs were censored. Large numbers of sympathetic posts for Bo appeared in microblogs from Chongqing, and Dalian, where Bo was once mayor. The "Global Times" also wrote a sympathetic editorial. Liberal media reacted positively, criticizing Bo's style of 'personality-based rule' as dangerous and regressive. Right-leaning commentators said Bo's downfall signified a 'correct orientation' to China's future development. Southern Media Group editor Yan Lieshan remarked that Bo correctly identified China's problems but prescribed the wrong solution. Businesspeople whose assets were seized by Bo's administration in Chongqing also reacted positively.


title: Bo Xilai

text: Bo's dismissal caused political shockwaves unseen since the Tiananmen Square protests of 1989, and exposing internal conflicts within Communist Party. In the weeks following 15 March, party authorities deliberated on Bo's case. In the absence of official reports of the proceedings, microblogs churned out a flood of speculation, including rumours of a coup. In response, the authorities instructed newspapers and websites to strictly report only official releases, and arrested six people accused of 'rumourmongering'.


title: Bo Xilai

text: Aware of its potentially divisive impact, authorities carefully controlled media coverage of Bo's removal from office. State media reported 'pledges of loyalty' to the party's decision to disgrace Bo, including statements from the new Chongqing party authorities, Beijing municipal organs, and grassroots party members rallying to the party line. The party's mouthpiece "People's Daily" issued a front-page editorial calling for unity behind the "correct decision". The military held 'political education' sessions on short notice, stressing unity and loyalty to the Party under the leadership of Hu Jintao. Bo's downfall also affected his ally Zhou Yongkang, who had reportedly relinquished his operational control over Chinese security institutions and lost the right to influence who would succeed him at the 18th Party Congress.


title: Bo Xilai

text: In July 2013, Chinese prosecution authorities charged Bo with bribery, abuse of power and corruption, paving the way for his trial. In the build-up to the trial, Song Yangbiao, a prominent leftist supporter of Bo was detained by police after he urged people to protest against the trial. The verdict and sentence brought to close one of the most lurid political scandals in the history of China under Communist rule. A few days before the trial, Wang Xuemei, a prominent forensic scientist who was vice director of the Chinese Forensic Medicine Association and of the Supreme Court's Prosecutorial Research Center, resigned from her positions. Wang had publicly questioned the forensic evidence used in the trial of Bo's wife Gu Kailai. Defense counsel for Bo was Beijing-based DeHeng Law Offices, a corporate law firm with deep political connections to the state. "The Wall Street Journal" article on the law firm's role in the trial described it as acting as an "intermediary" that facilitated between Bo, his relatives and prosecutors the negotiation of "an outcome acceptable to all sides in the run-up to the trial—and to help ensure that the trial itself goes according to plan".


title: Bo Xilai

text: Beginning on 22 August 2013, the Jinan Intermediate People's Court heard Bo's case. The proceedings of the trial were relayed in real-time by the court's official microblog account, though journalists covering the trial needed to belong to a pre-approved list. Bo faced three charges: bribery, abuse of power, and embezzlement. The prosectors alleged that Bo received the equivalent of some 21.79 million yuan (US$3.56 million) in bribes from businessmen Xu Ming and Tang Xiaolin. At the trial Xu Ming testified that he gave Bo's wife Gu Kailai $3.23 million in 2000 to buy the villa "Fontaine St-Georges" in Nice, France, and that he paid for their son Bo Guagua's travel and credit card bills. Bo Xilai cross-examined Xu and denied knowledge of many of the payments.


title: Bo Xilai

text: Bo's trial, which featured a testy exchange between Bo and his former lieutenant Wang Lijun, concluded on 26 August 2013. During the trial, Bo recanted a series of confessions he had made during the investigation, denying all charges against him. On 22 September, the court found him guilty on all counts, including accepting bribes and abuses of power, stripped him of all his personal assets, and sentenced him to life imprisonment. Not long after the trial, on 6 November, citizen activist Wang Zheng established the Zhi Xian Party, which supports Communist Party rule but criticizes it failing to uphold the constitution. Bo Xilai was elected the party's "Chairman for life".


title: Bo Xilai

text: Chinese attempts to confiscate a €6.95 million villa in Cannes, bought and held for Bo through intermediaries, are ongoing.


title: Bo Xilai

text: After Bo was jailed, the aftermath of the events set off by the Wang Lijun incident continued to reverberate across the Chinese political landscape. Xi Jinping's accession to power resulted in a series of major political changes with significant consequences. Bo's former supporter Zhou Yongkang retired in 2012, but was caught up in Xi Jinping's anti-corruption dragnet in 2013, detained for investigation, and eventually sentenced to life in prison. In addition, Zhou was unable to select the successor to his office, possibly as a result of his role in the Bo Xilai scandal. The head of the Central Political and Legal Affairs Commission, which Zhou headed, no longer held a seat on the Politburo Standing Committee following the 18th Party Congress, as the number of seats on the body were reduced from nine to seven. The anti-corruption campaign following the 18th Party Congress became the biggest of its kind in the history of China under Communist rule. By 2014, Bo had been branded by some media outlets outside of China as part of a so-called "New Gang of Four" composed of disgraced officials Zhou Yongkang, Xu Caihou, and Ling Jihua.


title: Bo Xilai

text: Bo's chief ideological rival, former Guangdong party secretary Wang Yang, went on to become Vice-Premier in 2013 and eventually joined the Politburo Standing Committee in 2017, the party's top leadership council. Wen Jiabao, who was seen as Bo's foremost critic in the top leadership, suffered significant public embarrassment himself over a "The New York Times" article about his family's vast empire of wealth whose release coincided closely with Bo's dismissal. Huang Qifan, the mayor of Chongqing long seen as an ally of Bo, continued serving in his position as Mayor of Chongqing until his resignation in 2016. Wang Lijun was sentenced to fifteen years in prison for defection, corruption, and abuse of power.


title: Bo Xilai

text: In the course of his career, Bo Xilai was the beneficiary of considerable patronage from former Communist Party leader Jiang Zemin. He is thus associated with Jiang's faction, sometimes referred to as the "elitists," that is generally known to favor a model that emphasizes free trade, economic development in the coastal regions, and export-led growth. It is a coalition composed largely of "princelings" (the children of high-ranking former party leaders), business people, leaders of coastal cities, and members of the erstwhile "Shanghai clique". By contrast, the "populist" coalition of Hu Jintao and Wen Jiabao advocated more balanced economic development and improvements to China's social safety net. The populist faction comprised rural leaders, socialist intellectuals, and several leaders who rose to prominence through their connections with the Communist Youth League.


title: Bo Xilai

text: While Bo was initially identified with the elitist bloc during his time in Liaoning and as Minister of Commerce, during his tenure in the interior city of Chongqing, he adopted a number of populist policies typically associated with the conservative left. Namely, he implemented social housing programs, gave residency status (and therefore the associated social welfare benefits) to rural migrant workers, and emphasized a need for a more balanced distribution of wealth. Although Bo relentlessly pursued technology, capital, and business opportunities, he also spearheaded a large number of government programs to help the working class and disadvantaged groups. Bo's campaigns against corruption also allegedly seized the assets of private entrepreneurs, in turn allegedly funneling these funds into his own personal wealth, as well as (more publicly) state projects and welfare programs, effectively re-asserting state control over wealth. He also sought to promote "red culture," and mandated the revival of Mao-era slogans and songs, evoking memories that were romantic to the conservative left, but painful to the liberal right of Chinese politics.


title: Bo Xilai

text: Bo's policies in Chongqing ultimately made him a prominent figure among neo-Maoists and leftists, and a representative of the conservative wing of the Communist Party. Although Bo did not favor the discontinuation of market economics or a return to Mao-era policies, he was seen to advocate a strong role for the state in peoples' lives. Bo's anti-corruption campaign, in particular, earned him a reputation for heavy-handedness and authoritarian methods in crime and punishment. Bo's policies put him in opposition to the more liberal and reform-oriented faction, particularly Premier Wen Jiabao and Guangdong party secretary Wang Yang, who favored the strengthening of rule of law and a continuation of political reform. To observers, Bo and Wang's verbal jousting over the future direction of development marked an increasing polarization of Chinese politics into leftist and reformer camps.


title: Bo Xilai

text: Bo's first wife was Li Danyu, the daughter of former Beijing Party First Secretary Li Xuefeng. They wed in September 1976 and had a son, "Brendan" Li Wangzhi (), the following year. Their son graduated from Columbia University in 2001. Li Danyu insisted that her son change his surname to Li following her divorce from Bo Xilai in 1984. Li Wangzhi was reportedly low-key and modest and was not commonly associated with his father during the latter's political heyday. Li Wangzhi obtained a master's degree in media studies and worked for a few years at Citibank, then worked for a law firm in Beijing; he eventually went into private equity. Li had remarked publicly that his father's arrest "destroyed his life". In 2014, Li released a statement on his microblog feed revealing that his father was doing well in prison and that medical treatment is available to him should he need it. Li wrote, "life is short... if the law allows, I would like to see him more. Come to think of it, the only times I've seen him [since 2007] was at funerals, in the courtroom, or in prison."


title: Bo Xilai

text: Bo married his second wife, Gu Kailai, in 1986. Gu was a prominent lawyer and founder of the Kailai law firm in Beijing. She was said to have overcome a trying childhood during nationwide strife and worked her way to become a well-regarded lawyer and prominent politician's wife. Gu's father, Gu Jingsheng, was a Communist revolutionary. Her mother, Fan Chengxiu, is a descendant of the renowned Song dynasty chancellor and poet Fan Zhongyan. In 2013, Gu was convicted of the murder of British businessman Neil Heywood after a dispute over money which purportedly escalated until he threatened her son's life. She was sentenced to death with a two-year reprieve, which is typically commuted to life imprisonment.


title: Bo Xilai

text: Bo Xilai drew criticism from others in the party for his high-profile courting of media attention and using his family pedigree to further the interests of his wife and her law firm. Bo denied that his wife had profited from his position, saying that his wife had retired her legal practice while the couple lived in Dalian in the 1990s. Bo said that Gu "now basically just stays at home, doing some housework for me." Jiang Weiping claimed that Gu served as Bo's "gatekeeper" when Bo was the mayor of Dalian, regularly accepting gifts and bribes from property developers seeking access to him, and from Party officials seeking government appointments. There was speculation that Bo Xilai may have attempted to interfere with a corruption investigation into his wife prior to the Wang Lijun incident.


title: Bo Xilai

text: Bo and Gu have one son, Bo Kuangyi, who is better known as Bo Guagua. He attended Harrow School in the United Kingdom, and was later admitted to Balliol College, Oxford, where in 2006 he started studying for a degree in Philosophy, Politics and Economics. Guagua then went on to study public administration at Harvard Kennedy School. Bo Guagua's high-profile and privileged lifestyle, including luxury cars and frequent social events, has provided tabloid fodder for Chinese-language media. Both Guagua and his father had repeatedly denied allegations that Guagua was the 'playboy prince' that he was often portrayed, claiming that Guagua got by on a modest allowance and attended social events to only to "broaden his horizons." Asked how he could afford his son's tuition fees on his estimated annual salary of $22,000, Bo replied that his son received "full scholarships" from the respective institutions. However, the veracity of this assertion has been questioned by several sources. "Maclean's" reported that Bo's family associate Heywood pulled strings to have Guagua accepted into Harrow, shortly after becoming involved with Bo.


title: Bo Xilai

text: Bo Xiyong, Bo Xilai's eldest brother, is a vice-chairman and executive director of Hong Kong-listed Everbright International, but he was purportedly listed under a pseudonym, 'Li Xueming'. The company declined to confirm if Li Xueming and Bo Xiyong are one and the same.


title: Jasper Dolphin

text: Davon Lamar Wilson (born September 28, 1990), better known as Jasper Dolphin (or simply Jasper), is an American actor, stunt performer and former rapper. He is best known for being a founding member of American hip hop collective Odd Future, but has since ventured further into his career in acting, currently starring in "Jasper & Errol's First Time" on Viceland, and featured as a new member of "Jackass" on "Jackass Forever" (2022).


title: Jasper Dolphin

text: Jasper Dolphin was a founding member of the Los Angeles hip hop collective Odd Future, founded in 2007. In 2008, Jasper formed the Odd Future sub-group, I Smell Panties, with fellow Odd Future member and leader, Tyler, the Creator. They released their debut project, "I Smell Panties EP", on June 28, 2008. Jasper rapped on "Lisa" off Odd Future's debut mixtape, "The Odd Future Tape", released in November 2008.


title: Jasper Dolphin

text: Jasper was featured on the track "Tina", off Tyler, The Creator's debut mixtape, "Bastard", released on December 25, 2009. It also featured Odd Future member, Taco. Jasper rapped on "Double Cheeseburger", "Round and Round", and "Swag Me Out" off Odd Future's second mixtape, "Radical", released on May 7, 2010. Jasper was also featured on the track "Deaddeputy" off MellowHype's debut studio album, "BlackenedWhite", released on October 31, 2010.


title: Jasper Dolphin

text: Jasper was featured on the track "Bitch Suck Dick" off Tyler, The Creator's debut studio album, "Goblin", released May 10, 2011. On June 19, 2011, the track "Thisniggaaintfunnyatall", by Tyler, The Creator featuring Jasper Dolphin and Taco, was leaked. On September 8, 2011, it was announced that Odd Future would be making a television show called "Loiter Squad". The show was announced to be a sketch comedy show featuring various skits and pranks that originally aired on March 25, 2012, on Adult Swim. The show features Jasper, along with Odd Future members Tyler, The Creator, Taco, L-Boy, and Earl Sweatshirt as main cast members with other members of Odd Future making cameo appearances. The program is produced by Dickhouse Productions. which also is the production company for Jackass. Jasper rapped on the tracks "We Got Bitches" and "Oldie" off Odd Future's debut studio album, "The OF Tape Vol. 2".


title: Jasper Dolphin

text: Jasper was featured on the track "Trashwang" off Tyler, The Creator's second studio album, "Wolf". It also featured Na'kel, Lucas, L-Boy, Taco, Left Brain and Lee Spielman of Trash Talk. Jasper continued to be a regular cast member of Loiter Squad in Season 2, premiered on March 10, 2013, and Season 3, premiered May 15, 2014. Jasper, credited as Demonté, was featured on Tyler, The Creator gangster rap alter-ego's, Young Nigga's, song "I Just Bought a Bugatti (I'm Happy)", released on June 6, 2014. It also featured IceJJFish.


title: Jasper Dolphin

text: In 2017, GOLF Media announced a show on their now-deleted app with Jasper as the lead role, titled ""Quality Time with Jasper"". Viewers have compared the show to "The Eric Andre Show".


title: Jasper Dolphin

text: In 2019, it was announced Jasper was having a show with an Odd Future friend, Errol Chatham on the channel Viceland. The show focuses on the two having their first time doing activities that they have never done before. They both also appeared in one episode of "Ridiculousness" in 2019.


title: Jasper Dolphin

text: In 2021, it was announced that Jasper along with 4 other people will be the new cast members in "Jackass Forever" (2022). Jasper's dad Compston "Dark Shark" Wilson, and fellow Odd Future members Tyler, the Creator, Errol Chatham, Lionel Boyce, Syd, and Travis "Taco" Bennett also appeared in this movie. Jasper also appeared in the "Jackass Shark Week" special with Johnny Knoxville, Steve-O, Chris Pontius, and Sean "Poopies" McInerney, who is also a new cast member in "Jackass Forever". Jasper made a guest appearance in the YouTube web series titled "Truth or Dab" in the episode starring fellow "Jackass Forever" cast members Wee Man and Steve-O. He made a guest appearance in "WWE SmackDown" with fellow "Jackass" members Knoxville, Pontius, Dave England, new member Zach Holmes, and director Jeff Tremaine. He helped Knoxville beat Sami Zayn in "WrestleMania 38".


title: Missing dollar riddle

text: The missing dollar riddle is a famous riddle that involves an informal fallacy. It dates to at least the 1930s, although similar puzzles are much older.


title: Missing dollar riddle

text: Three guests check into a hotel room. The manager says the bill is $30, so each guest pays $10. Later the manager realizes the bill should only have been $25. To rectify this, he gives the bellhop $5 as five one-dollar bills to return to the guests.


title: Missing dollar riddle

text: On the way to the guests' room to refund the money, the bellhop realizes that he cannot equally divide the five one-dollar bills among the three guests. As the guests are not aware of the total of the revised bill, the bellhop decides to just give each guest $1 back and keep $2 as a tip for himself, and proceeds to do so.


title: Missing dollar riddle

text: As each guest got $1 back, each guest only paid $9, bringing the total paid to $27. The bellhop kept $2, which when added to the $27, comes to $29. So if the guests originally handed over $30, what happened to the remaining $1?


title: Missing dollar riddle

text: There seems to be a discrepancy, as there cannot be two answers ($29 and $30) to the math problem. On the one hand it is true that the $25 in the register, the $3 returned to the guests, and the $2 kept by the bellhop add up to $30, but on the other hand, the $27 paid by the guests and the $2 kept by the bellhop add up to only $29.


title: Missing dollar riddle

text: The misdirection in this riddle is in the second half of the description, where "unrelated amounts" are added together and the person to whom the riddle is posed assumes those amounts should add up to 30, and is then surprised when they do not — there is, in fact, no reason why the (10 − 1) × 3  + 2  = 29 sum should add up to 30.


title: Missing dollar riddle

text: The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.


title: Missing dollar riddle

text: To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.


title: Missing dollar riddle

text: To further illustrate why the riddle's sum does not relate to the actual sum, the riddle can be altered so that the discount on the room is extremely large. Consider the riddle in this form:


title: Missing dollar riddle

text: Now it is more obvious that the question is quite unreasonable. One cannot simply add a couple of payments together and expect them to total an original amount of circulated cash.


title: Missing dollar riddle

text: More economically, money is accounted by summing together all paid amounts (liabilities) with all money in one's possession (assets). That abstract formula holds regardless of the relative perspectives of the actors in this exchange.


title: Missing dollar riddle

text: 3) 10 + 10 + 10 - 3 = 25 + 2 + 3 - 3 (adding -3 to both sides of the equation to cancel out the +3 on the right side)


title: Missing dollar riddle

text: 8) 9 + 9 + 9 -2 = 25 + 2 -2 (adding -2 to both sides of the equation to cancel the +2 on the right side, which means the bellhop returned the tip or gave a discount of $2)


title: Missing dollar riddle

text: There are many variants of the puzzle. Professor David Singmaster's "Chronology of Recreational Mathematics" suggests these type of mathematical misdirection puzzles descended from a problem in an 18th-century arithmetic book, Francis Walkingame's "Tutor's Assistant" which was published, and republished, from 1751 to 1860 where it appeared on page 185, prob. 116 in this form, "If 48 taken from 120 leaves 72, and 72 taken from 91 leaves 19, and 7 taken from thence leaves 12, what number is that, out of which, when you have taken 48, 72, 19, and 7, leaves 12?" Singmaster adds, "Though this is not the same as the withdrawal problems below, the mixing of amounts subtracted and remainders makes me think that this kind of problem may have been the basis of the later kind."


title: Missing dollar riddle

text: An 1880 misdirection is given as "Barthel sees two boxes at a jeweller's, priced at 100 and 200. He buys the cheaper one and takes it home, where he decides he really prefers the other. He returns to the jeweller and gives him the box back and says that the jeweller already has 100 from him, which together with the returned box, makes 200, which is the cost of the other box. The jeweller accepts this and gives Barthel the other box and Barthel goes on his way. Is this correct?"


title: Missing dollar riddle

text: A model more similar in style to the modern version was given by Cecil B. Read in his 1933 "Mathematical Fallacies". His puzzle produces an extra dollar: A man puts $50 in the bank. Then on subsequent days he withdraws $20 leaving $30; then $15 leaving $15; then $9 leaving $6, and finally $6 leaving $0. But $30 + $15 + $6 = $51. Where did the extra dollar come from?


title: Missing dollar riddle

text: The actual solution to this riddle is to add correctly (correct time, correct person and correct location) from the bank point of view which in this case seems to be the problem:


title: Missing dollar riddle

text: The solution appears very obvious if the owner withdraws every day only $10 from $50. To add up 40 + 30 + 20 + 10 using the same pattern from above would be too obviously wrong (result would be $100).


title: Missing dollar riddle

text: The answer to the question, "Where did the extra dollar come from?” can be found from consecutively adding the bank rest from three different days. This way is correct only if the money owner withdraws every day exact half of the money. Then it will add up. ($25 + $12.50 + $6.25) + $6.25 = $50


title: Missing dollar riddle

text: Another entry from 1933, R. M. Abraham's "Diversions and Pastimes" (still available in a Dover version) poses a slightly different approach with this problem from page 16 (problem 61). "A traveller returning to New York found that he had only a ten-dollar postal money order, and that his train fare was seven dollars. The ticket clerk refused to accept the money order, so the traveller went across the road to a pawn shop and pawned it for seven dollars. On his way back to the station he met a friend, who, to save the traveller the trouble of returning to redeem the money order, bought the pawn ticket from him for seven dollars. The traveller then bought his ticket and still had seven dollars when he got to New York. Who made the loss?" David Darling in his "The Universal book of Mathematics", credits this as an earlier version of the three men in a hotel version above.


title: Missing dollar riddle

text: Even more similar is the English, "The Black-Out Book" by Evelyn August in 1939; What happened to the shilling?, pp. 82 & 213. Three girls each pay five shillings to share a room. The landlord refunds 5 shillings via the bellboy, who gives them each one and keeps two.


title: Missing dollar riddle

text: And one more from the same theme appears in an Abbott and Costello routine in which Abbott asks Costello for a fifty-dollar loan. Costello holds out forty dollars and says, "That's all I have." Abbott responds, "Fine, you can owe me the other ten."


title: Missing dollar riddle

text: The riddle is used by psychotherapist (Chris Langham) with his mathematician client (Paul Whitehouse) in episode 5 of the 2005 BBC comedy series "Help".


title: Missing dollar riddle

text: A variation, also involving shillings and three men in a restaurant who are overcharged, appears in the third volume of Jennifer Worth's "Call the Midwife" books, "Farewell to the East End" (2009). There, repairman Fred poses it to the midwives of Nonnatus House.


title: Chuvash people

text: The Chuvash people ( , ; ; ) are a Turkic ethnic group, a branch of Oghurs, native to an area stretching from the Volga-Ural region to Siberia. Most of them live in Chuvashia and the surrounding areas, although Chuvash communities may be found throughout the Russian Federation. They speak Chuvash, a unique Turkic language that diverged from other languages in the family more than a millennium ago.


title: Chuvash people

text: There is no universally accepted etymology of the word "Chuvash", but there are three main theories. The popular theory accepted by Chuvash people suggests that "Chuvash" is a Shaz-Turkic adaptation of Lir-Turkic "Suvar" (Sabir people), an ethnonym of people that are widely considered to be the ancestors of modern Chuvash people. Compare Lir-Turkic Chuvash: "huran" to Shaz-Turkic Tatar: "qazan" (‘cauldron’). One theory suggests that the word "Chuvash" may be derived from Common Turkic "jăvaš" ('friendly', 'peaceful'), as opposed to "şarmăs" ('warlike') Another theory is that the word is derived from the "Tabghach", an early medieval Xianbei clan and founders of the Northern Wei dynasty in China. The Old Turkic name "Tabghach" ("Tuoba" in Mandarin) was used by some Inner Asian peoples to refer to China long after this dynasty. Gerard Clauson has shown that through regular sound changes, the clan name Tabghach may have transformed to the ethnonym Chuvash.


title: Chuvash people

text: The Chuvash language is a member of the Turkic language family and is the only Oghur Turkic language that survives. It's spoken in Chuvashia and nearby regions along the middle course of the Volga River, in the central part of European Russia. Chuvash is the sole living representative of Volga Bulgar language or classified alongside Bulgar and Khazar language from Oghur branch A significantly divergent principal group itself. Since the surviving literary records for the non-Chuvash members of Oghuric are scant, the exact position of Chuvash within the Oghuric family cannot be determined. Some scholars suggest Hunnic had strong ties with Chuvash and refer to this extended grouping as separate Hunno-Bulgar languages.


title: Chuvash people

text: Chuvash language is agglutinative in the structure of grammar, phonetically it is synharmonic. In this respect, it's almost no different from other Turkic and Uralic languages. Oghuric family is distinguished from the rest of the Turkic family by sound changes and it has a special place. The distinct character of Chuvash and its relation with the Finnic languages formerly led some scholars to think that Chuvash is a Turkified Finno-Ugric (Uralic) language while modern scholars generally believe it's an Oghuric language. Tatar and the neighbouring Volga Finns such as Mari have heavily influenced the Chuvash. Russian loans are also notable. It has two to three dialects. Phenotypically, there is no particular differences among the Chuvash, as more Caucasoid or more Mongoloid phenotypes can be found among all subgroups.


title: Chuvash people

text: The Turkic ancestors of the Chuvash people are believed to have come from central Siberia, where they lived in the Irtysh basin (between Tian Shan and Altay) from at least the end of the third millennium BC. In the early first century AD the Bulgars started moving west through Zhetysu and the steppes of modern-day Kazakhstan, reaching the North Caucasus in the 2nd to 3rd centuries AD. There they established several states (Old Bulgaria on the Black Sea coast and the Suar Duchy in modern-day Dagestan).


title: Chuvash people

text: Old Bulgaria broke up in the second half of the 7th century after a series of successful Khazar invasions. Some of its population fled north, to the Volga-Kama region, where they established Volga Bulgaria, which eventually became extremely wealthy: its capital then being the 4th-largest city in the world. Shortly after that, the Suar Duchy was forced to become a vassal state of Khazaria. About half a century later, the Suars took part in the Arab–Khazar wars of 732–737. The adoption of Islam in the early tenth century in Volga Bulgaria led to most of its people embracing that religion.


title: Chuvash people

text: After the Mongols destroyed Volga Bulgaria in 1236, the Golden Horde kept control of the region until its slow dissolution from 1438. The Kazan Khanate then became the new authority of the region and of the Chuvash. The modern name "Chuvash" began to appear in records starting from the sixteenth century from Russian and other foreign sources.


title: Chuvash people

text: In 1552, the Russians conquered the Kazan Khanate and its territories. The Chuvash, required to pay yasak, gradually became dispossessed of much of their land. Many Chuvash who traditionally engaged in agriculture were forced to become bonded laborers in the timber industry or to work in barges due to growing poverty. The subsequent centuries saw the Christianization and Russification of the Chuvash. During this period, most Chuvash converted to Orthodox Christianity, but the Tsars never achieved their complete Russification.


title: Chuvash people

text: Russian Historian Vasily Nikitich Tatishchev personally visited the lands of Volga Bulgaria and wrote in 1768:


title: Chuvash people

text: The eighteenth and nineteenth centuries saw the revival of Chuvash culture and the publication of many educational, literary, and linguistic works, along with the establishment of schools and other programs. The Chuvash language began to be used in local schools, and a special written script for the Chuvash language was created


title: Chuvash people

text: On June 24, 1920, the Bolshevik government of the RSFSR established the Chuvash Autonomous Region; it became the Chuvash Autonomous Soviet Socialist Republic on April 21, 1925. Around this time Chuvash nationalism grew, but the Soviet authorities attempted to suppress nationalist movements by re-drawing the borders of the republic, leaving many Chuvash living in neighboring republics or in Russian districts. During most of the Soviet period of 1917-1991, the Chuvash were subjected to Russification campaigns and propaganda. The Chuvash language vanished from educational and public use. In 1989, another Chuvash cultural revival began - partly in response to these changes. Soon the Chuvash language once again came into use in educational, public, and political life.


title: Chuvash people

text: , schools in the Chuvash Republic and in areas outside that have large Chuvash populations teach the Chuvash language and culture. Chuvash people around Russia also have media available to them in their local communities.


title: Chuvash people

text: There are two rival schools of thought on the origin of the Chuvash people. One is that they originated from a mixing between the Turkic Sabir tribes of Volga Bulgaria and also, according to some research, mixing with local Finno-Ugric populations. The other belief is that the Chuvash may have descended from pre-Volga Bulgars, based on a linguistic connection of the Chuvash with the Turkic language group.


title: Chuvash people

text: The closest ancestors of the Chuvash people seem to be the Turkic Volga Bulgars. Naturally, they have been subjected to much infusion and influence, not only from Russian and Turkic peoples, but also from neighboring Finnic tribes, with whom they were persistently and mistakenly identified for centuries, perhaps aided by the fact that the Chuvash language is a highly divergent form of Turkic, and was not easily recognized as such.


title: Chuvash people

text: Linguistic and ancestral connections have been thought to exist between Chuvash and Turkic Khazars as Volga Sabirs were at the service of Khazar Khanate and the languages of both nations are considered to share the Oghur branch of Turkic languages. Dieter Ludwig suggested that the Khazars were early Sabirs who had formed an alliance with the Uar of Khwarezm in his doctoral thesis (a people possibly linked to the White Huns and/or Pannonian Avars who later invaded Eastern Europe).


title: Chuvash people

text: Physical anthropologists using the racial frameworks of the early 20th century saw the Chuvash as a mixed Finno-Ugric and Turkic people. An autosomal analysis (2015) detected an indication of Oghur and possibly Bulgar ancestry in modern Chuvash. These Oghur and Bulgar tribes brought the Chuvash language with them. Another study found some Finno-Ugric components in Chuvash people. In 2017 a full genome study found Chuvash largely show a Finno-Ugric genetic component despite having a common Turkic component with Bashkir and Tatar peoples. This study supported elite domination hypothesis among Volga Turkic populations.


title: Chuvash people

text: A genomic research found that Chuvashes have a linear relationship between Northeastern Europe and Western Siberia. Volga-Uralic Turkic peoples (including Chuvashes, Tatars, and Bashkirs) displayed membership in the k5 cluster, which contained the Uralic populations. However, most of the time, the Volga Turkic peoples showed a higher combined presence of the “eastern components” k6 and k8 than did their geographic neighbors. In comparison with their neighbors, Chuvash has a foremost in the sharply increased frequency of haplogroups E and J which led geneticists to see the uniqueness of the gene pool. These haplogroups are typical to Near East and Caucasus.


title: Chuvash people

text: In mtDNA, Volga-Ural variants belonged to haplogroups H, U, T, J, W, I, R, and N1 characteristic of West Eurasian populations. The most frequent were haplogroups H (12–42%) which may related to Caucasus, and U (18–44%) which may found in North and Northeastern European populations. East Eurasian mtDNA types (A, B, Y, F, M, N9) were also observed. In this study, haplogroup U5, related to mesolithic WHG, was not only observed in the Finno-Ugric populations, it also occurred at a high frequency in Bashkirs, Tatars, and Chuvash.


title: Chuvash people

text: They speak the Chuvash language and have some pre-Christian traditions.The Chuvash have specific Chuvash patterns used in embroidery, which is found in their traditional clothing. Many people also use the Russian and Tatar language. Spoken in Chuvashia and nearby regions along the middle course of the Volga River, in the central part of European.


title: Chuvash people

text: Most Chuvash people are Eastern Orthodox Christians and belong to the Russian Orthodox Church. After the Russian subjugation of the Chuvash in the 16th century, a campaign of Christianization began. Most Chuvash did not convert until the mid-19th century. They retain some pre-Christian shamanism traditions in their cultural activities. They syncretized Orthodox Christianity and shamanism. Parallel pray in the shrines called keremet and sacrifice geese there. One of the main shrines is located in the town of Bilyarsk. Vattisen Yaly is a contemporary revival of the ethnic religion of the Chuvash people.


title: Chuvash people

text: A minority of Chuvash follow Islam and they have also retained many traces of pre-Islamic beliefs and rituals. This minority probably adopted Islam as early as the Volga Bulgaria era but most of those Chuvash likely converted during the Golden Horde period. Some Chuvash who converted to Christianity following the Russian conquest reverted to Islam during the 19th and early 20th century.


title: Phlebitis

text: Phlebitis (or Venitis) is inflammation of a vein, usually in the legs. It most commonly occurs in superficial veins. Phlebitis often occurs in conjunction with thrombosis and is then called thrombophlebitis or superficial thrombophlebitis. Unlike deep vein thrombosis, the probability that superficial thrombophlebitis will cause a clot to break up and be transported in pieces to the lung is very low.


title: Phlebitis

text: There is usually a slow onset of a tender red area along the superficial veins on the skin. A long, thin red area may be seen as the inflammation follows a superficial vein. This area may feel hard, warm, and tender. The skin around the vein may be itchy and swollen. The area may begin to throb or burn. Symptoms may be worse when the leg is lowered, especially when first getting out of bed in the morning. A low-grade fever may occur. Sometimes phlebitis may occur where a peripheral intravenous line was started. The surrounding area may be sore and tender along the vein.


title: Phlebitis

text: Phlebitis is typically caused by local trauma to a vein, usually from the insertion of an intravenous catheter. However, it can also occur due to a complication of connective tissue disorders such as lupus, or of pancreatic, breast, or ovarian cancers. Phlebitis can also result from certain medications and drugs that irritate the veins, such as desomorphine.


title: Phlebitis

text: Superficial phlebitis often presents as an early sign in thromboangiitis obliterans (Buerger's disease), a vasculitis that affects small and medium-sized arteries and veins in distal extremities often associated with cigarette smoking.


title: Phlebitis

text: Treatment usually consists of NSAIDs, such as ibuprofen and local compression (e.g., by compression stockings or a compress). If the phlebitis is associated with local bacterial infection, antibiotics may be used.


title: Phlebitis

text: For acute infusion superficial thrombophlebitis, not enough evidence exists as of 2015 to determine treatment.


title: Khan (title)

text: Khan () is a historic Turko-Mongol title originating among nomadic tribes in the Central and Eastern Eurasian Steppe to refer to a chief or ruler. It first appears among the Rouran and then the Göktürks as a variant of khagan (sovereign, emperor) and implied a subordinate ruler. In the Seljuk Empire, it was the highest noble title, ranking above malik (king) and emir (prince). In the Mongol Empire it signified the ruler of a horde ("ulus"), while the ruler of all the Mongols was the khagan or great khan. The title subsequently declined in importance. During the Safavid dynasty it was the title of an army general, and in Mughal India it was a high noble rank restricted to courtiers. After the downfall of the Mughals it was used promiscuously and became a surname. Khan and its female forms occur in many personal names, generally without any nobiliary of political relevance, although it remains a common part of noble names as well.


title: Khan (title)

text: The origin of the term is disputed and unknown, possibly a loanword from the Ruanruan language. According to Vovin (2007, 2010) the term comes from "qaγan" (meaning emperor or supreme ruler) and was later used in several languages, especially in Mongolic and Turkic.


title: Khan (title)

text: A Turkic and Para-Mongolic origin has been suggested by a number of scholars including Ramstedt, Shiratori, Sinor and Doerfer, and was reportedly first used by the Xianbei.


title: Khan (title)

text: According to Vovin, the word "*qa-qan" "great-qan" (*qa- for "great" or "supreme") is of non-Altaic origin, but instead linked to Yeniseian *"qεʔ" "big" or "great". The origin of "qan" itself is harder according to Vovin. He says that the origin for the word "qan" is not found in any reconstructed proto-language and was used widely by Turkic, Mongolic, Chinese and Korean people with variations from "kan, qan, han and hwan." A relation exists possibly to the Yeniseian words *"qij" or "*qaj" meaning "ruler".


title: Khan (title)

text: It may be impossible to prove the ultimate origin of the title, but Vovin says: "Thus, it seems to be quite likely that the ultimate source of both "qaγan" and "qan" can be traced back to Xiong-nu and Yeniseian".


title: Khan (title)

text: "Khan" is first encountered as a title in the Xianbei confederation for their chief between 283 and 289. The Rourans may have been the first people who used the titles "khagan" and "khan" for their emperors. However, Russian linguist Alexander Vovin (2007) believes that the term "qaγan" originated among the Xiongnu people, who were Yeniseian-speaking (according to Vovin), and then it diffused across language families. Subsequently, the Göktürks adopted the title and brought it to the rest of Asia. In the middle of the sixth century the Iranians knew of a "Kagan – King of the Turks".


title: Khan (title)

text: Various Mongolic and Turkic peoples from Central Asia gave the title new prominence after period of the Mongol Empire (1206–1368) in the Old World and later brought the title "khan" into Northern Asia, where locals later adopted it. Khagan is rendered as "Khan of Khans". It was the title of Chinese Emperor Emperor Taizong of Tang ("Heavenly Khagan", reigned 626 to 649) and Genghis Khan's successors selected to rule the Mongol Empire starting from 1229. Genghis Khan himself was referred as "qa'an" (khagan) only posthumously. For instance Möngke Khan (reigned 1251–1259) and Ogedei Khan (reigned 1229–1241) would be "Khagans" but not Chagatai Khan, who was not proclaimed ruler of the Mongol Empire by the Kurultai.


title: Khan (title)

text: Originally khans headed only relatively minor tribal entities, generally in or near the vast Mongolian and North Chinese steppe, the scene of an almost endless procession of nomadic people riding out into the history of the neighbouring sedentary regions. Some managed to establish principalities of some importance for a while, as their military might repeatedly proved a serious threat to empires in the Central Plain and Central Asia.


title: Khan (title)

text: One of the earliest notable examples of such principalities in Europe was Danube Bulgaria (presumably also Old Great Bulgaria), ruled by a "khan" or a "kan" at least from the 7th to the 9th century. The title "khan" is not attested directly in inscriptions and texts referring to Bulgar rulers – the only similar title found so far, "Kanasubigi", has been found solely in the inscriptions of three consecutive Bulgarian rulers, namely Krum, Omurtag and Malamir (a grandfather, son and grandson). Starting from the compound, non-ruler titles that were attested among Bulgarian noble class such as "kavkhan" (vicekhan), "tarkhan", and "boritarkhan", scholars derive the title "khan" or "kan" for the early Bulgarian leader – if there was a vicekhan ("kavkhan") there was probably a "full" "khan", too. Compare also the rendition of the name of early Bulgarian ruler Pagan as ("Kampaganos"), likely resulting from a misinterpretation of "Kan Pagan", in Patriarch Nicephorus's so-called Breviarium In general, however, the inscriptions as well as other sources designate the supreme ruler of Danube Bulgaria with titles that exist in the language in which they are written – "archontes", meaning 'commander or magistrate' in Greek, and "knyaze", meaning "duke" or "prince" in Slavic. Among the best known Bulgar khans were: Khan Kubrat, founder of Great Bulgaria; Khan Asparukh, founder of "Danubian Bulgaria" (today's Bulgaria); Khan Tervel, who defeated the Arab invaders in 718 Siege of Constantinople (718), thus stopped the Arab invasion in Southeast Europe; Khan Krum, "the Fearsome". "Khan" was the official title of the ruler until 864 AD, when Kniaz Boris (known also as Tsar Boris I) adopted the Eastern Orthodox faith.


title: Khan (title)

text: The title Khan rose to unprecedented prominence with the Mongol Temüjin's creation of the Mongol empire, the largest contiguous empire in history, which he ruled as Genghis Khan. Before 1229 the title was used to designate leaders of important tribes as well as tribal confederations (the Mongol Empire considered the largest one), and rulers of non-Mongol countries. Shortly before the death of the Genghis Khan, his sons became khans in different dominions (ulus) and the title apparently became unsuitable for the supreme ruler of the empire, needing a more exalted one. Being under Uighur cultural influence, Mongols adopted ancient Turkish title of khagan starting with Ögedei Khan in 1229.


title: Khan (title)

text: Emperors of the Ming dynasty also used the term Xan to denote brave warriors and rulers. The title Khan was used to designate the greatest rulers of the Jurchens, who, later when known as the Manchus, founded the Qing dynasty.


title: Khan (title)

text: Once more, there would be numerous khanates in the steppe in and around Central Asia, often more of a people than a territorial state, e.g.:


title: Khan (title)

text: While most Afghan principalities were styled emirate, there was a khanate of ethnic Uzbeks in Badakhshan since 1697.


title: Khan (title)

text: Khan was also the title of the rulers of various break-away states and principalities later in Persia, e.g. 1747–1808 Khanate of Ardabil (in northwestern Iran east of Sarab and west of the southwest corner of the Caspian Sea), 1747–1813 Khanate of Khoy (northwestern Iran, north of Lake Urmia, between Tabriz and Lake Van), 1747–1829 Khanate of Maku (in extreme northwestern Iran, northwest of Khoy, and 60 miles south of Yerevan, Armenia), 1747–1790s Khanate of Sarab (northwestern Iran east of Tabriz), 1747 – c.1800 Khanate of Tabriz (capital of Iranian Azerbaijan).


title: Khan (title)

text: There were various small khanates in and near Transcaucasia and Ciscaucasia established by the Safavids, or their successive Afsharid and Qajar dynasties outside their territories of Persia proper. For example, in present Armenia and nearby territories to the left and right, there was the khanate of Erivan (sole incumbent 1807–1827 Hosein Quli Khan Qajar). Diverse khanates existed in Dagestan (now part of Russia), Azerbaijan, including Baku (present capital), Ganja, Jawad, Quba (Kuba), Salyan, Shakki (Sheki, ruler style "Bashchi" since 1743) and Shirvan=Shamakha (1748–1786 temporarily split into Khoja Shamakha and Yeni Shamakha), Talysh (1747–1814); Nakhichevan and (Nagorno) Karabakh.


title: Khan (title)

text: As hinted above, the title Khan was also common in some of the polities of the various – generally Islamic – peoples in the territories of the Mongol Golden Horde and its successor states, which, like the Mongols in general, were commonly called Ta(r)tars by Europeans and Russians, and were all eventually subdued by Muscovia which became the Russian Empire. The most important of these states were:


title: Khan (title)

text: The higher, rather imperial title Khaqan (""Khan of Khans"") applies to probably the most famous rulers known as "Khan": the Mongol imperial dynasty of Genghis Khan (his name was Temüjin, "Genghis" Khan a never fully understood unique title), and his successors, especially grandson Kublai Khan: the former founded the Mongol Empire and the latter founded the Yuan Dynasty in China. The ruling descendants of the main branch of Genghis Khan's dynasty are referred to as the "Great Khans".


title: Khan (title)

text: The title "Khan of Khans" was among numerous titles used by the Sultans of the Ottoman empire as well as the rulers of the Golden Horde and its descendant states. The title "Khan" was also used in the Seljuk Turk dynasties of the near-east to designate a head of multiple tribes, clans or nations, who was below an Atabeg in rank. Jurchen and Manchu rulers also used the title Khan ("Han" in Manchu); for example, Nurhaci was called Genggiyen Han. Rulers of the Göktürks, Avars and Khazars used the higher title Kaghan, as rulers of distinct nations.


title: Khan (title)

text: In imperial Persia, Khan (female form "Khanum" in Persia) was the title of a nobleman, higher than Beg (or bey) and usually used after the given name. At the Qajar court, precedence for those not belonging to the dynasty was mainly structured in eight classes, each being granted an honorary rank title, the fourth of which was Khan, or in this context synonymously Amir, granted to commanders of armed forces, provincial tribal leaders; in descending order.


title: Khan (title)

text: In neighboring Ottoman Turkey and subsequently the Republic of Turkey, the term "Khanum" was and is still written as Hanım in Turkish/Ottoman Turkish language. The Ottoman title of Hanımefendi (lit translated; "lady of the master"), is also a derivative of this.


title: Khan (title)

text: The titles Khan and Khan Bahadur (from the Altaic root "baghatur"), related to the Turkic "batyr" or "batur" and Mongolian "baatar" ("brave, hero"); were also bestowed in feudal India by the Mughals, who although Muslims were of Turkic origin upon Muslims and awarded this title to Hindus generals in army particularly in Gaud or Bengal region during Muslim rulers, and later by the British Raj, as an honor akin to the ranks of nobility, often for loyalty to the crown. Khan Sahib was another title of honour.


title: Khan (title)

text: In the major Indian Muslim state of Hyderabad, Khan was the lowest of the aristocratic titles bestowed by the ruling Nizam upon Muslim retainers, ranking under "Khan Bahadur", Nawab (homonymous with a high Muslim ruler's title), Jang, Daula, Mulk, Umara, Jah. The equivalent for the courts Hindu retainers was Rai. In Swat, a Pakistani Frontier State, it was the title of the secular elite, who together with the Mullahs (Muslim clerics), proceeded to elect a new Amir-i-Shariyat in 1914. It seems unclear whether the series of titles known from the Bengal sultanate are merely honorific or perhaps relate to a military hierarchy.


title: Khan (title)

text: Like many titles, the meaning of the term has also extended southwards into South Asian countries, and Central Asian nations, where it has become a common surname.


title: Khan (title)

text: Khan and its female forms occur in many personal names, generally without any nobiliary of political relevance, although it remains a common part of noble names as well. Notably in South Asia it has become a part of many South Asian Muslim names, especially when Pashtun (also known as Afghan) descent is claimed. It is also used by many Muslim Rajputs of Indian subcontinent who were awarded this surname by Turkic Mughals for their bravery. and it's widely used by Baloch and Awan tribe's


title: Karnaugh map

text: The Karnaugh map (KM or K-map) is a method of simplifying Boolean algebra expressions. Maurice Karnaugh introduced it in 1953 as a refinement of Edward W. Veitch's 1952 Veitch chart, which was a rediscovery of Allan Marquand's 1881 "logical diagram" aka Marquand diagram but with a focus now set on its utility for switching circuits. Veitch charts are also known as Marquand–Veitch diagrams or, rarely, as Svoboda charts, and Karnaugh maps as Karnaugh–Veitch maps (KV maps).


title: Karnaugh map

text: The Karnaugh map reduces the need for extensive calculations by taking advantage of humans' pattern-recognition capability. It also permits the rapid identification and elimination of potential race conditions.


title: Karnaugh map

text: The required Boolean results are transferred from a truth table onto a two-dimensional grid where, in Karnaugh maps, the cells are ordered in Gray code, and each cell position represents one combination of input conditions. Cells are also known as minterms, while each cell value represents the corresponding output value of the boolean function. Optimal groups of 1s or 0s are identified, which represent the terms of a canonical form of the logic in the original truth table. These terms can be used to write a minimal Boolean expression representing the required logic.


title: Karnaugh map

text: Karnaugh maps are used to simplify real-world logic requirements so that they can be implemented using a minimum number of logic gates. A sum-of-products expression (SOP) can always be implemented using AND gates feeding into an OR gate, and a product-of-sums expression (POS) leads to OR gates feeding an AND gate. The POS expression gives a complement of the function (if F is the function so its complement will be F'). Karnaugh maps can also be used to simplify logic expressions in software design. Boolean conditions, as used for example in conditional statements, can get very complicated, which makes the code difficult to read and to maintain. Once minimised, canonical sum-of-products and product-of-sums expressions can be implemented directly using AND and OR logic operators.


title: Karnaugh map

text: Karnaugh maps are used to facilitate the simplification of Boolean algebra functions. For example, consider the Boolean function described by the following truth table.


title: Karnaugh map

text: Following are two different notations describing the same function in unsimplified Boolean algebra, using the Boolean variables , , , and their inverses.


title: Karnaugh map

text: In the example above, the four input variables can be combined in 16 different ways, so the truth table has 16 rows, and the Karnaugh map has 16 positions. The Karnaugh map is therefore arranged in a 4 × 4 grid.


title: Karnaugh map

text: The row and column indices (shown across the top and down the left side of the Karnaugh map) are ordered in Gray code rather than binary numerical order. Gray code ensures that only one variable changes between each pair of adjacent cells. Each cell of the completed Karnaugh map contains a binary digit representing the function's output for that combination of inputs.


title: Karnaugh map

text: After the Karnaugh map has been constructed, it is used to find one of the simplest possible forms — a canonical form — for the information in the truth table. Adjacent 1s in the Karnaugh map represent opportunities to simplify the expression. The minterms ('minimal terms') for the final expression are found by encircling groups of 1s in the map. Minterm groups must be rectangular and must have an area that is a power of two (i.e., 1, 2, 4, 8...). Minterm rectangles should be as large as possible without containing any 0s. Groups may overlap in order to make each one larger. The optimal groupings in the example below are marked by the green, red and blue lines, and the red and green groups overlap. The red group is a 2 × 2 square, the green group is a 4 × 1 rectangle, and the overlap area is indicated in brown.


title: Karnaugh map

text: The cells are often denoted by a shorthand which describes the logical value of the inputs that the cell covers. For example, would mean a cell which covers the 2x2 area where and are true, i.e. the cells numbered 13, 9, 15, 11 in the diagram above. On the other hand, would mean the cells where is true and is false (that is, is true).


title: Karnaugh map

text: The grid is toroidally connected, which means that rectangular groups can wrap across the edges (see picture). Cells on the extreme right are actually 'adjacent' to those on the far left, in the sense that the corresponding input values only differ by one bit; similarly, so are those at the very top and those at the bottom. Therefore, can be a valid term—it includes cells 12 and 8 at the top, and wraps to the bottom to include cells 10 and 14—as is , which includes the four corners.


title: Karnaugh map

text: Once the Karnaugh map has been constructed and the adjacent 1s linked by rectangular and square boxes, the algebraic minterms can be found by examining which variables stay the same within each box.


title: Karnaugh map

text: For the green grouping, "A" and "B" maintain the same state, while "C" and "D" change. "B" is 0 and has to be negated before it can be included. The second term is therefore . Note that it is acceptable that the green grouping overlaps with the red one.


title: Karnaugh map

text: It would also have been possible to derive this simplification by carefully applying the axioms of Boolean algebra, but the time it takes to do that grows exponentially with the number of terms.


title: Karnaugh map

text: Karnaugh maps also allow easier minimizations of functions whose truth tables include "don't care" conditions. A "don't care" condition is a combination of inputs for which the designer doesn't care what the output is. Therefore, "don't care" conditions can either be included in or excluded from any rectangular group, whichever makes it larger. They are usually indicated on the map with a dash or X.


title: Karnaugh map

text: The example on the right is the same as the example above but with the value of "f"(1,1,1,1) replaced by a "don't care". This allows the red term to expand all the way down and, thus, removes the green term completely.


title: Karnaugh map

text: Note that the first term is just , not . In this case, the don't care has dropped a term (the green rectangle); simplified another (the red one); and removed the race hazard (removing the yellow term as shown in the following section on race hazards).


title: Karnaugh map

text: Karnaugh maps are useful for detecting and eliminating race conditions. Race hazards are very easy to spot using a Karnaugh map, because a race condition may exist when moving between any pair of adjacent, but disjoint, regions circumscribed on the map. However, because of the nature of Gray coding, "adjacent" has a special definition explained above – we're in fact moving on a torus, rather than a rectangle, wrapping around the top, bottom, and the sides.


title: Karnaugh map

text: Whether glitches will actually occur depends on the physical nature of the implementation, and whether we need to worry about it depends on the application. In clocked logic, it is enough that the logic settles on the desired value in time to meet the timing deadline. In our example, we are not considering clocked logic.


title: Karnaugh map

text: In our case, an additional term of formula_12 would eliminate the potential race hazard, bridging between the green and blue output states or blue and red output states: this is shown as the yellow region (which wraps around from the bottom to the top of the right half) in the adjacent diagram.


title: Karnaugh map

text: The term is redundant in terms of the static logic of the system, but such redundant, or consensus terms, are often needed to assure race-free dynamic performance.


title: Karnaugh map

text: Similarly, an additional term of formula_13 must be added to the inverse to eliminate another potential race hazard. Applying De Morgan's laws creates another product of sums expression for "f", but with a new factor of formula_14.


title: Karnaugh map

text: The following are all the possible 2-variable, 2 × 2 Karnaugh maps. Listed with each is the minterms as a function of formula_15 and the race hazard free ("see previous section") minimum equation. A minterm is defined as an expression that gives the most minimal form of expression of the mapped variables. All possible horizontal and vertical interconnected blocks can be formed. These blocks must be of the size of the powers of 2 (1, 2, 4, 8, 16, 32, ...). These expressions create a minimal logical mapping of the minimal logic variable expressions for the binary expressions to be mapped. Here are all the blocks with one field.


title: Karnaugh map

text: A block can be continued across the bottom, top, left, or right of the chart. That can even wrap beyond the edge of the chart for variable minimization. This is because each logic variable corresponds to each vertical column and horizontal row. A visualization of the k-map can be considered cylindrical. The fields at edges on the left and right are adjacent, and the top and bottom are adjacent. K-Maps for four variables must be depicted as a donut or torus shape. The four corners of the square drawn by the k-map are adjacent. Still more complex maps are needed for 5 variables and more.


title: Apollo 14

text: Apollo 14 (January 31, 1971February 9, 1971) was the eighth crewed mission in the United States Apollo program, the third to land on the Moon, and the first to land in the lunar highlands. It was the last of the "H missions", landings at specific sites of scientific interest on the Moon for two-day stays with two lunar extravehicular activities (EVAs or moonwalks).


title: Apollo 14

text: The mission was originally scheduled for 1970, but was postponed because of the investigation following the failure of Apollo 13 to reach the Moon's surface, and the need for modifications to the spacecraft as a result. Commander Alan Shepard, Command Module Pilot Stuart Roosa, and Lunar Module Pilot Edgar Mitchell launched on their nine-day mission on Sunday, January 31, 1971, at 4:03:02 p.m. EST. En route to the lunar landing, the crew overcame malfunctions that might have resulted in a second consecutive aborted mission, and possibly, the premature end of the Apollo program.


title: Apollo 14

text: Shepard and Mitchell made their lunar landing on February 5 in the Fra Mauro formation – originally the target of Apollo 13. During the two walks on the surface, they collected of Moon rocks and deployed several scientific experiments. To the dismay of some geologists, Shepard and Mitchell did not reach the rim of Cone crater as had been planned, though they came close. In Apollo 14's most famous event, Shepard hit two golf balls he had brought with him with a makeshift club.


title: Apollo 14

text: While Shepard and Mitchell were on the surface, Roosa remained in lunar orbit aboard the Command and Service Module, performing scientific experiments and photographing the Moon, including the landing site of the future Apollo 16 mission. He took several hundred seeds on the mission, many of which were germinated on return, resulting in the so-called Moon trees, that were widely distributed in the following years. After liftoff from the lunar surface and a successful docking, the spacecraft was flown back to Earth where the three astronauts splashed down safely in the Pacific Ocean on February 9.


title: Apollo 14

text: The mission commander of Apollo 14, Alan Shepard, one of the original Mercury Seven astronauts, became the first American to enter space with a suborbital flight on May 5, 1961. Thereafter, he was grounded by Ménière's disease, a disorder of the ear, and served as Chief Astronaut, the administrative head of the Astronaut Office. He had experimental surgery in 1968 which was successful and allowed his return to flight status. Shepard, at age 47, was the oldest U.S. astronaut to fly when he made his trip aboard Apollo 14, and he is the oldest person to walk on the Moon.


title: Apollo 14

text: Apollo 14's Command Module Pilot (CMP), Stuart Roosa, aged 37 when the mission flew, had been a smoke jumper before joining the Air Force in 1953. He became a fighter pilot and then in 1965 successfully completed Aerospace Research Pilot School (ARPS) at Edwards Air Force Base in California prior to his selection as a Group 5 astronaut the following year. He served as a capsule communicator (CAPCOM) for Apollo 9. The Lunar Module Pilot (LMP), Edgar Mitchell, aged 40 at the time of Apollo 14, joined the Navy in 1952 and served as a fighter pilot, beginning in 1954. He was assigned to squadrons aboard aircraft carriers before returning to the United States to further his education while in the Navy, also completing the ARPS prior to his selection as a Group 5 astronaut. He served on the support crew for Apollo 9 and was the LMP of the backup crew for Apollo 10.


title: Apollo 14

text: Shepard and his crew had originally been designated by Deke Slayton, Director of Flight Crew Operations and one of the Mercury Seven, as the crew for Apollo 13. NASA's management felt that Shepard needed more time for training given he had not flown in space since 1961, and chose him and his crew for Apollo 14 instead. The crew originally designated for Apollo 14, Jim Lovell as the commander, Ken Mattingly as CMP and Fred Haise as LMP, all of whom had backed up Apollo 11, was made the prime crew for Apollo 13 instead.


title: Apollo 14

text: Mitchell's commander on the Apollo 10 backup crew had been another of the original seven, Gordon Cooper, who had tentatively been scheduled to command Apollo 13, but according to author Andrew Chaikin, his casual attitude toward training resulted in him being not selected . Also on that crew, but excluded from further flights, was Donn Eisele, likely because of problems aboard Apollo 7, which he had flown, and because he had been involved in a messy divorce.


title: Apollo 14

text: Apollo 14's backup crew was Eugene A. Cernan as commander, Ronald E. Evans Jr. as CMP and Joe H. Engle as LMP. The backup crew, with Harrison Schmitt replacing Engle, would become the prime crew of Apollo 17. Schmitt flew instead of Engle because there was intense pressure on NASA to fly a scientist to the Moon (Schmitt was a geologist) and Apollo 17 was the last lunar flight. Engle, who had flown the X-15 to the edge of outer space, flew into space for NASA in 1981 on STS-2, the second Space Shuttle flight.


title: Apollo 14

text: During projects Mercury and Gemini, each mission had a prime and a backup crew. Apollo 9 commander James McDivitt believed meetings that required a member of the flight crew were being missed, so for Apollo a third crew of astronauts was added, known as the support crew. Usually low in seniority, support crew members assembled the mission's rules, flight plan, and checklists, and kept them updated; for Apollo 14, they were Philip K. Chapman, Bruce McCandless II, William R. Pogue and C. Gordon Fullerton. CAPCOMs, the individuals in Mission Control responsible for communications with the astronauts were Evans, McCandless, Fullerton and Haise. A veteran of Apollo 13, which had aborted before reaching the Moon, Haise put his training for that mission to use, especially during the EVAs, since both missions were targeted at the same place on the Moon. Had Haise walked on the Moon, he would have been the first Group 5 astronaut to do so, an honor that went to Mitchell.


title: Apollo 14

text: The flight directors during Apollo had a one-sentence job description, "The flight director may take any actions necessary for crew safety and mission success." For Apollo 14, they were: Pete Frank, Orange team; Glynn Lunney, Black team; Milt Windler, Maroon team and Gerry Griffin, Gold team.


title: Apollo 14

text: Prime and backup crews for both Apollo 13 and 14 were announced on August 6, 1969. Apollo 14 was scheduled for July 1970, but in January of that year, due to budget cuts that saw the cancellation of Apollo 20, NASA decided there would be two Apollo missions per year with 1970 to see Apollo 13 in April and Apollo 14 likely in October or November.


title: Apollo 14

text: The investigation into the accident which caused an abort of Apollo 13 delayed Apollo 14. On May 7, 1970, NASA Administrator Thomas O. Paine announced that Apollo 14 would launch no earlier than December 3, and the landing would be close to the site targeted by Apollo 13. The Apollo 14 astronauts continued their training. On June 30, 1970, following the release of the accident report and a NASA review of what changes to the spacecraft would be necessary, NASA announced that the launch would slip to no earlier than January 31, 1971.


title: Apollo 14

text: The crew of Apollo 14 trained together for 19 months after assignment to the mission, longer than any other Apollo crew to that point. In addition to the normal training workload, they had to supervise the changes to the command and service module (CSM) made as a result of the Apollo 13 investigation, much of which was delegated by Shepard to Roosa. Mitchell later stated, "We realized that if our mission failed—if we had to turn back—that was probably the end of the Apollo program. There was no way NASA could stand two failures in a row. We figured there was a heavy mantle on our shoulders to make sure we got it right."


title: Apollo 14

text: Before the abort of the Apollo 13 mission, the plan was to have Apollo 14 land near Littrow crater, in Mare Serenitatis, where there are features that were thought to be volcanic. After Apollo 13 returned, it was decided that its landing site, near Cone crater in the Fra Mauro formation, was scientifically more important than Littrow. The Fra Mauro formation is composed of ejecta from the impact event that formed Mare Imbrium, and scientists hoped for samples that originated deep under the Moon's surface. Cone crater was the result of a young, deep impact, and large enough to have torn through whatever debris was deposited since the Imbrium Event, which geologists hoped to be able to date. Landing at Fra Mauro would also allow orbital photography of another candidate landing site, the Descartes Highlands, which became the landing site for Apollo 16. Although Littrow went unvisited, a nearby area, Taurus-Littrow, was the landing site for Apollo 17. Apollo 14's landing site was located slightly closer to Cone crater than the point designated for Apollo 13.


title: Apollo 14

text: The change in landing site from Littrow to Fra Mauro affected the geological training for Apollo 14. Before the switch, the astronauts had been taken to volcanic sites on Earth; afterwards, they visited crater sites, such as the Ries Crater in West Germany and an artificial crater field created for astronaut training in Arizona's Verde Valley. The effectiveness of the training was limited by a lack of enthusiasm shown by Shepard, which set the tone for Mitchell. Harrison Schmitt suggested that the commander had other things on his mind, such as overcoming a ten-year absence from spaceflight and ensuring a successful mission after the near-disaster of Apollo 13.


title: Apollo 14

text: Roosa undertook training for his period alone in lunar orbit, when he would make observations of the Moon and take photographs. He had been impressed by the training given to Apollo 13 prime crew CMP Mattingly by geologist Farouk El-Baz and got El-Baz to agree to undertake his training. The two men pored over lunar maps depicting the areas the CSM would pass over. When Shepard and Mitchell were on their geology field trips, Roosa would be overhead in an airplane taking photographs of the site and making observations. El-Baz had Roosa make observations while flying his T-38 jet at a speed and altitude simulating the speed at which the lunar surface would pass below the CSM.


title: Apollo 14

text: Another issue that had marked Apollo 13 was the last-minute change of crew due to exposure to communicable disease. To prevent another such occurrence, for Apollo 14 NASA instituted what was called the Flight Crew Health Stabilization Program. Beginning 21 days before launch, the crew lived in quarters at the launch site, Florida's Kennedy Space Center (KSC), with their contacts limited to their spouses, the backup crew, mission technicians, and others directly involved in training. Those individuals were given physical examinations and immunizations, and crew movements were limited as much as possible at KSC and nearby areas.


title: Apollo 14

text: The Command and Service Modules were delivered to KSC on November 19, 1969; the ascent stage of the LM arrived on November 21 with the descent stage three days later. Thereafter, checkout, testing and equipment installation proceeded. The launch vehicle stack, with the spacecraft on top, was rolled out from the Vehicle Assembly Building to Pad 39A on November 9, 1970.


title: Apollo 14

text: The Apollo 14 spacecraft consisted of Command Module (CM) 110 and Service Module (SM) 110 (together CSM-110), called "Kitty Hawk", and Lunar Module 8 (LM-8), called "Antares". Roosa had chosen the CSM's call sign after the town in North Carolina where, in 1903, the Wright Brothers first flew their "Wright Flyer" airplane (also known as "Kitty Hawk"). Antares was named by Mitchell after the star in the constellation Scorpius that the astronauts in the LM would use to orient the craft for its lunar landing. Also considered part of the spacecraft were a Launch Escape System and a Spacecraft/Launch Vehicle Adapter, numbered SLA-17.


title: Apollo 14

text: The changes to the Apollo spacecraft between Apollo 13 and 14 were more numerous than with earlier missions, not only because of the problems with Apollo 13, but because of the more extensive lunar activities planned for Apollo 14. The Apollo 13 accident had been caused by the explosive failure of an oxygen tank, after the insulation of the internal wiring had been damaged by heating of the tank contents pre-launch—that the oxygen had gotten hot enough to damage the insulation had not been realized, since the protective thermostatic switches had failed because they were, through an error, not designed to handle the voltage applied during ground testing. The explosion damaged the other tank or its tubing, causing its contents to leak away.


title: Apollo 14

text: The changes in response included a redesign of the oxygen tanks, with the thermostats being upgraded to handle the proper voltage. A third tank was also added, placed in Bay1 of the SM, on the side opposite the other two, and was given a valve that could isolate it in an emergency, and allow it to feed the CM's environmental system only. The quantity probe in each tank was upgraded from aluminum to stainless steel.


title: Apollo 14

text: Also in response to the Apollo 13 accident, the electrical wiring in Bay4 (where the explosion had happened) was sheathed in stainless steel. The fuel cell oxygen supply valves were redesigned to isolate the Teflon-coated wiring from the oxygen. The spacecraft and Mission Control monitoring systems were modified to give more immediate and visible warnings of anomalies. The Apollo 13 astronauts had suffered shortages of water and of power after the accident. Accordingly, an emergency supply of of water was stored in Apollo 14's CM, and an emergency battery, identical to those that powered the LM's descent stage, was placed in the SM. The LM was modified to make the transfer of power from LM to CM easier.


title: Apollo 14

text: Other changes included the installation of anti-slosh baffles in the LM descent stage's propellant tanks. This would prevent the low fuel light from coming on prematurely, as had happened on Apollo 11 and 12. Structural changes were made to accommodate the equipment to be used on the lunar surface, including the Modular Equipment Transporter.


title: Apollo 14

text: The Saturn V used for Apollo 14 was designated SA-509, and was similar to those used on Apollo 8 through 13. At , it was the heaviest vehicle yet flown by NASA, heavier than the launch vehicle for Apollo 13.


title: Apollo 14

text: A number of changes were made to avoid pogo oscillations, that had caused an early shutdown of the center J-2 engine on Apollo 13's S-II second stage. These included a helium gas accumulator installed in the liquid oxygen (LOX) line of the center engine, a backup cutoff device for that engine, and a simplified 2-position propellant utilization valve on each of the five J-2 engines.


title: Apollo 14

text: The Apollo Lunar Surface Experiments Package (ALSEP) array of scientific instruments carried by Apollo 14 consisted of the Passive Seismic Experiment (PSE), Active Seismic Experiment (ASE), Suprathermal Ion Detector (SIDE), Cold Cathode Ion Gauge (CCIG), and Charged Particle Lunar Environmental Experiment (CPLEE). Two additional lunar surface experiments not part of the ALSEP were also flown, the Laser Ranging Retro-Reflector (LRRR or LR3), to be deployed in the ALSEP's vicinity, and the Lunar Portable Magnetometer (LPM), to be used by the astronauts during their second EVA. The PSE had been flown on Apollo 12 and 13, the ASE on Apollo 13, the SIDE on Apollo 12, the CCIG on Apollo 12 and 13, and the LRRR on Apollo 11. The LPM was new, but resembled equipment flown on Apollo 12. The ALSEP components flown on Apollo 13 were destroyed when its LM burned up in Earth's atmosphere.


title: Apollo 14

text: Deployment of the ALSEP, and of the other instruments, each formed one of Apollo 14's mission objectives.


title: Apollo 14

text: The PSE was a seismometer, similar to one left on the Moon by Apollo 12, and was to measure seismic activity in the Moon. The Apollo 14 instrument would be calibrated by the impact, after being jettisoned, of the LM's ascent stage, since an object of known mass and velocity would be impacting at a known location on the Moon. The Apollo 12 instrument would also be activated by the spent Apollo 14 S-IVB booster, which would impact the Moon after the mission entered lunar orbit. The two seismometers would, in combination with those left by later Apollo missions, constitute a network of such instruments at different locations on the Moon.


title: Apollo 14

text: The ASE would also measure seismic waves. It consisted of two parts. In the first, one of the crew members would deploy three geophones at distances up to from the ALSEP's Central Station, and on his way back from the furthest, fire thumpers every . The second consisted of four mortars (with their launch tubes), of different properties and set to impact at different distances from the experiment. It was hoped that the waves generated from the impacts would provide data about seismic wave transmission in the Moon's regolith. The mortar shells were not to be fired until the astronauts had returned to Earth, and in the event were never fired for fear they would damage other experiments. A similar experiment was successfully deployed, and the mortars launched, on Apollo 16.


title: Apollo 14

text: The LPM was to be carried during the second EVA and used to measure the Moon's magnetic field at various points.


title: Apollo 14

text: The SIDE measured ions on the lunar surface, including from the solar wind. It was combined with the CCIG, which was to measure the lunar atmosphere and detect if it varied over time. The CPLEE measured the particle energies of protons and electrons generated by the Sun that reached the lunar surface. The LRRR acts as a passive target for laser beams, allowing the measurement of the Earth/Moon distance and how it changes over time. The LRRRs from Apollo 11, 14 and 15 are the only experiments left on the Moon by the Apollo astronauts that are still returning data.


title: Apollo 14

text: Flown for the first time on Apollo 14 was the Buddy Secondary Life Support System (BSLSS), a set of flexible hoses that would enable Shepard and Mitchell to share cooling water should one of their Primary Life Support System (PLSS) backpacks fail. In such an emergency, the astronaut with the failed equipment would get oxygen from his Oxygen Purge System (OPS) backup cylinder, but the BSLSS would ensure he did not have to use oxygen for cooling, extending the life of the OPS. The OPSs used on Apollo 14 were modified from those used on previous missions in that the internal heaters were removed as unnecessary.


title: Apollo 14

text: Water bags were also taken to the lunar surface, dubbed "Gunga Dins", for insertion in the astronauts' helmets, allowing them sips of water during the EVAs. These had been flown on Apollo 13, but Shepard and Mitchell were the first to use them on the Moon. Similarly, Shepard was the first on the lunar surface to wear a spacesuit with commander's stripes: red stripes on arms, legs, and on the helmet, though one had been worn by Lovell on Apollo 13. These were instituted because of the difficulty in telling one spacesuited astronaut from the other in photographs.


title: Apollo 14

text: The Modular Equipment Transporter (MET) was a two-wheeled handcart, used only on Apollo 14, intended to allow the astronauts to take tools and equipment with them, and store lunar samples, without needing to carry them. On later Apollo program missions, the self-propelled Lunar Roving Vehicle (LRV) was flown instead.


title: Apollo 14

text: The MET, when deployed for use on the lunar surface, was about long, wide and high. It had pressurized rubber tires wide and in diameter, containing nitrogen and inflated to about . The first use of tires on the Moon, these were developed by Goodyear and were dubbed their XLT (Experimental Lunar Tire) model. Fully loaded, the MET weighed about . Two legs combined with the wheels to provide four-point stability when at rest.


title: Apollo 14

text: Apollo 14 launched from Launch Complex 39-A at KSC at 4:03:02 pm (21:03:02 UTC), January 31, 1971. This followed a launch delay due to weather of 40 minutes and 2 seconds; the first such delay in the Apollo program. The original planned time, 3:23 pm, was at the very start of the launch window of just under four hours; had Apollo 14 not launched during it, it could not have departed until March. Apollo 12 had launched during poor weather and twice been struck by lightning, as a result of which the rules had been tightened. Among those present to watch the launch were U.S. Vice President Spiro T. Agnew and the Prince of Spain, the future King Juan Carlos I. The mission would take a faster trajectory to the Moon than planned, and thus make up the time in flight. Because it had, just over two days after launch, the mission timers would be put ahead by 40 minutes and 3 seconds so that later events would take place at the times scheduled in the flight plan.


title: Apollo 14

text: After the vehicle reached orbit, the S-IVB third stage shut down, and the astronauts performed checks of the spacecraft before restarting the stage for translunar injection (TLI), the burn that placed the vehicle on course for the Moon. After TLI, the CSM separated from the S-IVB, and Roosa performed the transposition maneuver, turning it around in order to dock with the LM before the entire spacecraft separated from the stage. Roosa, who had practiced the maneuver many times, hoped to break the record for the least amount of propellant used in docking. But when he gently brought the modules together, the docking mechanism would not activate. He made several attempts over the next two hours, as mission controllers huddled and sent advice. If the LM could not be extracted from its place on the S-IVB, no lunar landing could take place, and with consecutive failures, the Apollo program might end. Mission Control proposed that they try it again with the docking probe retracted, hoping the contact would trigger the latches. This worked, and within an hour the joined spacecraft had separated from the S-IVB. The stage was set on a course to impact the Moon, which it did just over three days later, causing the Apollo 12 seismometer to register vibrations for over three hours.


title: Apollo 14

text: The crew settled in for its voyage to Fra Mauro. At 60:30 Ground Elapsed Time, Shepard and Mitchell entered the LM to check its systems; while there they photographed a wastewater dump from the CSM, part of a particle contamination study in preparation for Skylab. Two midcourse corrections were performed on the translunar coast, with one burn lasting 10.19 seconds and one lasting 0.65 seconds.


title: Apollo 14

text: At 81:56:40.70 into the mission (February 4 at 1:59:43 am EST; 06:59:43 UTC), the Service Propulsion System engine in the SM was fired for 370.84 seconds to send the craft into a lunar orbit with apocynthion of and pericynthion of . A second burn, at 86:10:52 mission time, sent the spacecraft into an orbit of by . This was done in preparation for the release of the LM "Antares". Apollo 14 was the first mission on which the CSM propelled the LM to the lower orbit—though Apollo 13 would have done so had the abort not already occurred. This was done to increase the amount of hover time available to the astronauts, a safety factor since Apollo 14 was to land in rough terrain.


title: Apollo 14

text: After separating from the command module in lunar orbit, the LM "Antares" had two serious problems. First, the LM computer began getting an ABORT signal from a faulty switch. NASA believed the computer might be getting erroneous readings like this if a tiny ball of solder had shaken loose and was floating between the switch and the contact, closing the circuit. The immediate solution – tapping on the panel next to the switch – did work briefly, but the circuit soon closed again. If the problem recurred after the descent engine fired, the computer would think the signal was real and would initiate an auto-abort, causing the ascent stage to separate from the descent stage and climb back into orbit. NASA and the software teams at the Massachusetts Institute of Technology scrambled to find a solution. The software was hard-wired, preventing it from being updated from the ground. The fix made it appear to the system that an abort had already happened, and it would ignore incoming automated signals to abort. This would not prevent the astronauts from piloting the ship, though if an abort became necessary, they might have to initiate it manually. Mitchell entered the changes with minutes to go until planned ignition.


title: Apollo 14

text: A second problem occurred during the powered descent, when the LM landing radar failed to lock automatically onto the Moon's surface, depriving the navigation computer of vital information on the vehicle's altitude and vertical descent speed. After the astronauts cycled the landing radar breaker, the unit successfully acquired a signal near . Mission rules required an abort if the landing radar was out at , though Shepard might have tried to land without it. With the landing radar, Shepard steered the LM to a landing which was the closest to the intended target of the six missions that landed on the Moon.


title: Apollo 14

text: Shepard stated, after stepping onto the lunar surface, "And it's been a long way, but we're here." The first EVA began at 9:42 am EST (14:42 UTC) on February 5, 1971, having been delayed by a problem with the communications system which set back the start of the first EVA to five hours after landing. The astronauts devoted much of the first EVA to equipment offloading, deployment of the ALSEP and the US flag, as well as setting up and loading the MET. These activities were televised back to Earth, though the picture tended to degenerate during the latter portion of the EVA. Mitchell deployed the ASE's geophone lines, unreeling and emplacing the two lines leading out from the ALSEP's Central Station. He then fired the thumper explosives, vibrations from which would give scientists back on Earth information about the depth and composition of the lunar regolith. Of the 21 thumpers, five failed to fire. On the way back to the LM, the astronauts collected and documented lunar samples, and took photographs of the area. The first EVA lasted 4 hours, 47 minutes, 50 seconds.


title: Apollo 14

text: The astronauts had been surprised by the undulating ground, expecting flatter terrain in the area of the landing, and this became an issue on the second EVA, as they set out, MET in tow, for the rim of Cone crater. The craters that Shepard and Mitchell planned to use for navigational landmarks looked very different on the ground than on the maps they had, based on overhead shots taken from lunar orbit. Additionally, they consistently overestimated the distance they travelled. Mission Control and the CAPCOM, Fred Haise, could see nothing of this, as the television camera remained near the LM, but they worried as the clock ticked on the EVA, and monitored the heavy breathing and rapid heartbeats of the astronauts. They topped one ridge that they expected was the crater rim, only to view more such terrain beyond. Although Mitchell strongly suspected the rim was nearby, they had become physically exhausted from the effort. They were then instructed by Haise to sample where they were and then start moving back towards the LM. Later analysis using the pictures they took determined that they had come within about of the crater's rim. Images from the Lunar Reconnaissance Orbiter (LRO) show the tracks of the astronauts and the MET come to within 30 m of the rim. The difficulties faced by Shepard and Mitchell would emphasize the need for a means of transportation on the lunar surface with a navigation system, which was met by the Lunar Roving Vehicle, already planned to fly on Apollo 15.


title: Apollo 14

text: Once the astronauts returned to the vicinity of the LM and were again within view of the television camera, Shepard performed a stunt he had been planning for years in the event he reached the Moon, and which is probably what Apollo 14 is best remembered for. Shepard brought along a Wilson six iron golf club head, which he had modified to attach to the handle of the contingency sample tool, and two golf balls. Shepard took several one-handed swings (due to the limited flexibility of the EVA suit) and exuberantly exclaimed that the second ball went "miles and miles and miles" in the low lunar gravity. Mitchell then threw a lunar scoop handle as if it were a javelin. The "javelin" and one of the golf balls wound up in a crater together, with Mitchell's projectile a bit further. In an interview with Ottawa Golf, Shepard stated the other landed near the ALSEP. The second EVA lasted 4 hours, 34 minutes, 41 seconds. Shepard brought back the club, gave it to the USGA Museum in New Jersey, and had a replica made which he gave to the National Air and Space Museum. In February 2021, to commemorate Apollo 14's 50th anniversary, imaging specialist Andy Saunders, who had previously worked to produce the clearest image of Neil Armstrong on the Moon, produced new, digitally enhanced images that were used to estimate the final resting places of the two balls that Shepard hit - the first landed approximately 24 yards from the "tee", while the second managed 40 yards.


title: Apollo 14

text: Some geologists were pleased enough with the close approach to Cone crater to send a case of scotch to the astronauts while they were in post-mission quarantine, though their enthusiasm was tempered by the fact that Shepard and Mitchell had documented few of the samples they brought back, making it hard and sometimes impossible to discern where they came from. Others were less happy; Don Wilhelms wrote in his book on the geological aspects of Apollo, "the golf game did not set well with most geologists in light of the results at Cone crater. The total haul from the rim-flank of Cone ... was 16 Hasselblad photographs (out of a mission total of 417), six rock-size samples heavier than 50 g, and a grand total of 10 kg of samples, 9 kg of which are in one rock (sample 14321 [i.e., Big Bertha]). That is to say, apart from 14321 we have less than 1 kg of rock—962 g to be exact—from what in my opinion is the most important single point reached by astronauts on the Moon." Geologist Lee Silver stated, "The Apollo 14 crews did not have the right attitude, did not learn enough about their mission, had the burden of not having the best possible preflight photography, and they weren't ready." In their sourcebook on Apollo, Richard W. Orloff and David M. Harland doubted that if Apollo 13 had reached the Moon, Lovell, and Haise, given a more distant landing point, could have got as close to Cone crater as Shepard and Mitchell did.


title: Apollo 14

text: A total of of Moon rocks, or lunar samples, were brought back from Apollo 14. Most are breccias, which are rocks composed of fragments of other, older rocks. Breccias form when the heat and pressure of meteorite impacts fuse small rock fragments together. There were a few basalts that were collected in this mission in the form of clasts (fragments) in breccia. The Apollo 14 basalts are generally richer in aluminum and sometimes richer in potassium than other lunar basalts. Most lunar mare basalts collected during the Apollo program were formed from 3.0 to 3.8 billion years ago. The Apollo 14 basalts were formed 4.0 to 4.3 billion years ago, older than the volcanism known to have occurred at any of the mare locations reached during the Apollo program.


title: Apollo 14

text: In January 2019 research showed that Big Bertha, which weighs , has characteristics that make it likely to be a terrestrial (Earth) meteorite. Granite and quartz, which are commonly found on Earth but very rarely found on the Moon, were confirmed to exist on Big Bertha. To find the sample's age, the research team from Curtin University looked at bits of the mineral zircon embedded in its structure. "By determining the age of zircon found in the sample, we were able to pinpoint the age of the host rock at about four billion years old, making it similar to the oldest rocks on Earth," researcher Alexander Nemchin said, adding that "the chemistry of the zircon in this sample is very different from that of every other zircon grain ever analyzed in lunar samples, and remarkably similar to that of zircons found on Earth." This would mean Big Bertha is both the first discovered terrestrial meteorite and the oldest known Earth rock.


title: Apollo 14

text: Roosa spent almost two days alone aboard "Kitty Hawk", performing the first intensive program of scientific observation from lunar orbit, much of which was intended to have been done by Apollo 13. After "Antares" separated and its crew began preparations to land, Roosa in "Kitty Hawk" performed an SPS burn to send the CSM to an orbit of approximately , and later a plane change maneuver to compensate for the rotation of the Moon.


title: Apollo 14

text: Roosa took pictures from lunar orbit. The Lunar Topographic Camera, also known as the Hycon camera, was supposed to be used to image the surface, including the Descartes Highlands site being considered for Apollo 16, but it quickly developed a fault with the shutter that Roosa could not fix despite considerable help from Houston. Although about half of the photographic targets had to be scrubbed, Roosa was able to obtain photographs of Descartes with a Hasselblad camera and confirm that it was a suitable landing point. Roosa also used the Hasselblad to take photographs of the impact point of Apollo 13's S-IVB near Lansburg B crater. After the mission, troubleshooting found a tiny piece of aluminum contaminating the shutter control circuit, which caused the shutter to operate continuously.


title: Apollo 14

text: Roosa was able to see sunlight glinting off "Antares" and view its lengthy shadow on the lunar surface on Orbit 17; on Orbit 29 he could see the sun reflecting off the ALSEP. He also took astronomical photographs, of the Gegenschein, and of the Lagrangian point of the Sun-Earth system that lies beyond the Earth (L), testing the theory that the Gegenschein is generated by reflections off particles at L. Performing the bistatic radar experiment, he also focused "Kitty Hawk" VHF and S-band transmitters at the Moon so that they would bounce off and be detected on Earth in an effort to learn more about the depth of the lunar regolith.


title: Apollo 14

text: "Antares" lifted off from the Moon at 1:48:42 pm EST (18:48:42 UTC) on February 6, 1971. Following the first direct (first orbit) rendezvous on a lunar landing mission, docking took place an hour and 47 minutes later. Despite concerns based on the docking problems early in the mission, the docking was successful on the first attempt, though the LM's Abort Guidance System, used for navigation, failed just before the two craft docked. After crew, equipment, and lunar samples were transferred to "Kitty Hawk", the ascent stage was jettisoned, and impacted the Moon, setting off waves registered by the seismometers from Apollo 12 and 14.


title: Apollo 14

text: A trans-earth injection burn took place on February 6 at 8:39:04 pm (February 7 at 01:39:04 UTC) taking 350.8 seconds, during "Kitty Hawk" 34th lunar revolution. During the trans-earth coast, two tests of the oxygen system were performed, one to ensure the system would operate properly with low densities of oxygen in the tanks, the second to operate the system at a high flow rate, as would be necessary for the in-flight EVAs scheduled for Apollo 15 and later. Additionally, a navigation exercise was done to simulate a return to Earth following a loss of communications. All were successful. During his rest periods on the voyage, Mitchell conducted ESP experiments without NASA's knowledge or sanction, attempting by prearrangement to send images of cards he had brought with him to four people on Earth. He stated after the mission that two of the four had gotten 51 out of 200 correct (the others were less successful), whereas random chance would have dictated 40.