sentence1
stringlengths
1
133k
sentence2
stringlengths
1
131k
out of use in recent years as it was associated with practices and conventions that tended to not work well between various web browsers. DHTML support with extensive DOM access was introduced with Internet Explorer 4.0. Although there was a basic dynamic system with Netscape Navigator 4.0, not all HTML elements were r...
HTML, or DHTML, is a term which was used by some browser vendors to describe the combination of HTML, style sheets and client-side scripts (JavaScript, VBScript, or any other supported scripts) that enabled creation of interactive and animated documents. The application of DHTML was introduced by Microsoft with the rel...
training for immigrant coal miners aiming to become state mine inspectors or foremen, it enrolled 2500 new students in 1894 and matriculated 72,000 new students in 1895. By 1906 total enrollments reached 900,000. The growth was due to sending out complete textbooks instead of single lessons, and the use of 1200 aggress...
the potential for increased access to more experts in the field and to other students from diverse geographical, social, cultural, economic, and experiential backgrounds. As the population at large becomes more involved in lifelong learning beyond the normal schooling age, institutions can benefit financially, and adul...
by an unnamed first-person narrator who claims to have known and served with the main character. It is divided into three parts. Book I The first part details George's family history. His father, a middle-class man from England's countryside, marries a poor woman who falsely believes she is marrying into a monied famil...
marry. Although they do not have a child, the marriage endures. They decide to leave their marriage open. George takes Elizabeth's close friend as a lover, however, and their marriage begins to fall apart. Just as the situation is becoming particularly heated, England declares war on Germany. George decides to enlist. ...
water, and 4,490 on the Antarctic and Arctic ice caps. The project categorizes degree confluences as either primary or secondary. A confluence is primary only if it is on land or within sight of land. In addition, at latitudes greater than 48o only some points are designated primary because confluences crowd together n...
of which 21,543 are on land, 38,409 on water, and 4,490 on the Antarctic and Arctic ice caps. The project categorizes degree confluences as either primary or secondary. A confluence is primary only if it is on land or within sight of land. In addition, at latitudes greater than 48o only some points are designated prima...
returned to New York, his father did not pressure him to return to school or work, giving his son the chance to mature and discover his own abilities. Kaye said that as a young boy, he had wanted to be a surgeon, but the family could not afford a medical education. He held a succession of jobs after leaving school, as ...
not read music, he was said to have perfect pitch. A flamboyant performer with his own distinctive style, "easily adapting from outrageous novelty songs to tender ballads" (according to critic Jason Ankeny), in 1945 Kaye began hosting his own CBS radio program, in which he performed a number of hit songs, including "Di...
of pin-up girl cartoon digests. DeCarlo first freelanced for Archie Comics, the company with which he became most closely associated, in the late 1950s while still freelancing for Atlas. He said in 2001, DeCarlo is tentatively identified with Archie as early as the Jughead story "The Big Shot" in Archie Comics #48 (Feb...
as a draftsman, and painted company mascots on the noses of airplanes. He also drew a weekly military comic strip, 418th Scandal Sheet. He met his wife, French citizen Josie Dumont, on a blind date in Belgium not long after the Battle of the Bulge. Atlas and Archie DeCarlo was married, with a pregnant wife, and working...
to accept credit cards, regardless of the bank that issued the card, including Maestro cards issued by foreign banks and formerly issued by the Commonwealth Bank, with most businesses accepting them, with 450,000 point of sale terminals. EFTPOS cards can also be used to deposit and withdraw cash over the counter at Aus...
and since almost all stores have electronic terminals, today also minors can use debit cards. Previously, only cash withdrawal from ATMs was available to minors (automaattikortti (ATM card) or Visa Electron). France Carte Bancaire (CB), the national payment scheme, in 2008, had 57.5 million cards carrying its logo and ...
of 1 to 8. In addition, each difficulty rating was also labeled with a title. 2ndMIX CLUB VER.2 increased the scale to 9, which was implemented in the main series beginning in 3rdMIX. 3rdMIX also renamed the Maniac difficulty to "SSR" and made it playable through a special mode (SSR Mode), which could only be accessed ...
Aside from play style Single, Dance Dance Revolution provides two other play styles: Versus, where two players can play Single simultaneously, and Double, where one player uses all eight panels. Before the 2013 release of Dance Dance Revolution, some games offer additional modes, such as Course mode (players must play ...
power (generally taken to be France, even more so after the Franco-Russian Alliance of 1894). Bismarck saw the alliance as a way to prevent the isolation of the German Empire, which had just been founded a few years before, and to preserve peace, as Russia would not wage war against both empires. Formation When Austria...
region (despite being an ally of the Russians and the Germans in the League of the Three Emperors). Hence, in 1878, Bismarck called an international conference (the Congress of Berlin) to sort out the problem. The Treaty of Berlin that resulted from the conference reversed Russia's gains from the Treaty of San Stefano ...
on the way psychologists and others approach the study of human beings and their environments. As a result of this conceptualization of development, these environments—from the family to economic and political structures—have come to be viewed as part of the life course from childhood through to adulthood. Zone of prox...
brain's billions of neurons also are developed by the second trimester. Babies are hence born with some odor, taste and sound preferences, largely related to the mother's environment. Some primitive reflexes too arise before birth and are still present in newborns. One hypothesis is that these reflexes are vestigial an...
5′ direction, meaning the new strand is synthesized in the 5' to 3' direction. Since the leading and lagging strand templates are oriented in opposite directions at the replication fork, a major issue is how to achieve synthesis of new lagging strand DNA, whose direction of synthesis is opposite to the direction of the...
of new strands, accommodated by an enzyme known as helicase, results in replication forks growing bi-directionally from the origin. A number of proteins are associated with the replication fork to help in the initiation and continuation of DNA synthesis. Most prominently, DNA polymerase synthesizes the new strands by a...
culture Geography Dravida Nadu, a proposed country for the southern Dravidian languages South India, the region which is called Dravida in the Indian anthem Ethnicity Dravidian peoples, ethnic groups primarily in South India. Homo Dravida, a historically defined race, propagated also by Devaneya Pavanar Adi Dravida, na...
northeastern Sri Lanka Proto-Dravidian language, a model of the common ancestor of the Dravidian languages Dravidian University, a university situated in Andhra Pradesh South Indian culture, modern Dravidian culture Geography Dravida Nadu, a proposed country for the southern Dravidian languages South India, the region ...
upon a Star becomes a hit. He is surrounded by female fans in his every step. Meanwhile, Daisy cannot even approach her former lover and her loss results in a number of psychological symptoms. Various scenes feature her suffering from anorexia, insomnia, and self-described insanity. An often censored scene features her...
jumps up and down and sounds like a record played too fast as Donald and his look-alike run away. In Dumb Bell of the Yukon, Daisy is the motivation behind Donald's hunting trip after he reads a letter from her saying she likes fur coats. Daisy briefly appears in a non-speaking role in Donald's daydream, imagining how ...
stocks had lost $5 trillion in market capitalization since the peak. At its trough on October 9, 2002, the NASDAQ-100 had dropped to 1,114, down 78% from its peak. Aftermath After venture capital was no longer available, the operational mentality of executives and investors completely changed. A dot-com company's lifes...
down 78% from its peak. Aftermath After venture capital was no longer available, the operational mentality of executives and investors completely changed. A dot-com company's lifespan was measured by its burn rate, the rate at which it spent its existing capital. Many dot-com companies ran out of capital and went throu...
paid for the asset. Following the stock market crash of 1929, discounted cash flow analysis gained popularity as a valuation method for stocks. Irving Fisher in his 1930 book The Theory of Interest and John Burr Williams's 1938 text The Theory of Investment Value first formally expressed the DCF method in modern econom...
purposes, a number of different DCF methods are distinguished today, some of which are outlined below. The details are likely to vary depending on the capital structure of the company. However the assumptions used in the appraisal (especially the equity discount rate and the projection of the cash flows to be achieved)...
is an index of lists of deities of the different religions, cultures and mythologies of the world. List of deities by classification Lists
religions, cultures and mythologies of the world. List of deities by classification Lists of deities by cultural sphere List of goddesses List
above sea level by the river Amper, with a boundary demarcated by lateral moraines formed during the last ice age and the Amper glacial valley. It is also close to a large marshy area called Dachauer Moos. Highest elevation of the district is the so-called "Schlossberg", the lowest point is near the neighborhood of Pri...
originated with the Celts who lived there before the Germans came. An alternative idea is that it comes from the old high German word daha meaning clay, and ouwe, water overflown land. History Prehistoric times and Early Middle Ages As the Amper River would divert into backwaters in several places, there were many ford...
others are not attracted to any kind of baits. Males may congregate at patches of suitable breeding substrate to compete for the females, or form leks, conducting courtship in an area separate from breeding sites. Several Drosophila species, including D. melanogaster, D. immigrans, and D. simulans, are closely associat...
through cryptic choice, one of several post-copulatory mechanisms, which allows for the detection and expelling of sperm that reduces inbreeding possibilities. Manier et al. 2013 has categorized the post copulatory sexual selection of Drosophila melanogaster, Drosophila simulans, and Drosophila mauritiana into the foll...
common aspect that characterized dictatorship is taking advantage of their strong personality, usually by suppressing freedom of thought and speech of the masses, in order to maintain complete political and social supremacy and stability. Dictatorships and totalitarian societies generally employ political propaganda to...
aspects that contribute to the maintenance of the power are a steadfast collaboration between the government and the police force, and a highly developed ideology. The government has "total control of mass communications and social and economic organizations". According to Hannah Arendt, totalitarianism is a new and ex...
Liberchies, Pont-à-Celles, Belgium, into a Belgian family of Manouche Romani descent. His father, Jean Eugene Weiss, domiciled in Paris with his wife, went by Jean-Baptiste Reinhardt, his wife's surname, to avoid French military conscription. His mother, Laurence Reinhardt, was a dancer. The birth certificate refers to...
included some of his most famous compositions such as "Nuages"), but are also a fascinating area of Reinhardt's work to study, and have begun to be revived by players such as the Rosenberg Trio (with their 2010 release "Djangologists") and Biréli Lagrène. Wayne Jefferies, in his article "Django's Forgotten Era", writes...
killed by poachers in Rwanda. Fossey subsequently created the Digit Fund to raise money for anti-poaching patrols Arts and media Digit (magazine), an Indian information technology magazine digits dancing, a type of gestural, interpretive, rave and
distal parts of a limb—fingers, thumbs, and toes on hands and feet Dit or digit, synonym of Ban (unit), a unit of information entropy Digit (unit), an ancient measurement unit Digit, Dian Fossey's favourite gorilla, who was killed by poachers in Rwanda. Fossey subsequently created the Digit Fund to raise money for anti...
she starred in the television film High School U.S.A. as Cara Ames, alongside Todd Bridges, who starred as Otto Lipton. In spite of the film being met with a mixed response from critics and viewers alike, it gained popularity at the time of its premiere, particularly for its cast. After leaving Diff'rent Strokes, Plato...
with whom she lived in a motor home in Navarre, Florida. On February 28, 1991, she entered a video store, produced a pellet gun, and demanded the money in the cash register. The clerk called 9-1-1 and said, "I've just been robbed by the girl who played Kimberly on Diff'rent Strokes." Approximately 15 minutes after the ...
for a conversion kick after a try has been scored. Rugby sevens The usage of drop kicks in rugby sevens is the same as in rugby union, except that drop kicks are used for all conversion attempts and for penalty kicks, both of which must be taken within 40 seconds of the try being scored or the award of the penalty. Ame...
a drop goal (sometimes called a field goal) in open play, which is worth three points. Drop kicks are optional for a conversion kick after a try has been scored. Rugby sevens The usage of drop kicks in rugby sevens is the same as in rugby union, except that drop kicks are used for all conversion attempts and for penalt...
division made in a line of poetry when the end of a foot coincides with the end of a word Diaeresis (linguistics), or hiatus, the separation of adjacent vowels into syllables, not separated
or the division made in a line of poetry when the end of a foot coincides with the end of a word Diaeresis (linguistics), or hiatus, the separation of adjacent vowels into syllables, not separated by a consonant or pause and not merged into a diphthong
who was killed in a skirmish near Kilmacrennan in 1608 (but was popularly believed to have wasted away while sequestered in his castle at Buncrana). In the days of gerrymandering and anti-Catholic discrimination, Derry's Catholics often claimed in dark wit that the skeleton was a Catholic waiting for a job and a counci...
9th (Londonderry) Heavy Anti-Aircraft Regiment, known as the 'Derry Boys'. This regiment served in North Africa, the Sudan, Italy and mainland UK. Many others served in the Merchant Navy taking part in the convoys that supplied the UK and Russia during the war. The border location of the city, and influx of trade from ...
and proclaimed successor, failed to recapture Kabul from his older brother, Mohammad Afzal (whose troops were led by his son, Abdur Rahman) until 1868, after which Abdur Rahman retreated across the Amu Darya and bided his time. In the years immediately following the First Anglo-Afghan War, and especially after the Indi...
became clear to the British that the major threat to their interests in India would not come from the fragmented Afghan empire, the Iranians, or the French, but from the Russians, who had already begun a steady advance southward from the Caucasus winning decisive wars against the Ottomans and Persians. At the same time...
forms of insanity into two major categories: dementia praecox and manic-depressive illness. Dementia praecox was characterized by disordered intellectual functioning, whereas manic-depressive illness was principally a disorder of affect or mood; and the former featured constant deterioration, virtually no recoveries an...
the clinic (rather than only the interesting cases, as had been the habit until then). Kraepelin believed that by thoroughly describing all of the clinic's new patients on index cards, which he had been using since 1887, researcher bias could be eliminated from the investigation process. He described the method in his ...
earliest campaigns with "dolphin safe" labels were initiated in the 1980s as a result of cooperation between marine activists and the major tuna companies, and involved decreasing incidental dolphin kills by up to 50% by changing the type of nets used to catch tuna. The dolphins are netted only while fishermen are in p...
pass through the eye and, therefore, a very clear image of the surrounding area. They also have glands on the eyelids and outer corneal layer that act as protection for the cornea. The olfactory lobes and nerve are absent in dolphins, suggesting that they have no sense of smell. Dolphins are not thought to have a good ...
formulated, and remains correct, for modules over a division ring D instead of vector spaces over a field. Doing so it must be specified whether one is considering right or left modules, and some care is needed in properly distinguishing left and right in formulas. Working in coordinates, elements of a finite dimension...
definition commute with scalar multiplication is most conveniently represented in notation by writing them on the opposite side of vectors as scalars are. The Gaussian elimination algorithm remains applicable. The column rank of a matrix is the dimension of the right module generated by the columns, and the row rank is...
a modular design with several shape packages available for different needs: flowchart, network diagrams, circuit diagrams, and more. It does not restrict symbols and connectors from various categories from being placed together. Dia has special objects to help draw entity-relationship models, Unified Modeling Language ...
the shape. Dia loads and saves diagrams in a custom XML format which is, by default, gzipped to save space. It can print large diagrams spanning multiple pages and can also be scripted using the Python programming language. Exports Dia can export diagrams to various formats including the following: EPS (Encapsulated Po...
asteroids in the inner Solar System move in relation to other bodies at a noticeable, predictable speed. Thus a spacecraft can determine its relative position by tracking such asteroids across the star background, which appears fixed over such timescales. Two or more asteroids let the spacecraft triangulate its positio...
from babysitting an unburdened mission operating nominally. A similar system was used on the New Horizons Pluto probe to keep costs down during its ten-year cruise from Jupiter to Pluto. SDST The Small Deep Space Transponder (SDST) is a compact and lightweight radio-communications system. Aside from using miniaturized ...
IX of Georgia (died 1360) David X of Kartli (1482–1526) Capleton (born 1967), Jamaican reggae artist also known as King David Kalākaua (1836–1891), born David Laʻamea Kamanakapuʻu Mahinulani Nalaiaehuokalani Lumialani Kalākaua, the penultimate Hawaiian monarch Other uses King
IX of Georgia (died 1360) David X of Kartli (1482–1526) Capleton (born 1967), Jamaican reggae artist also known as King David Kalākaua (1836–1891), born David Laʻamea Kamanakapuʻu Mahinulani Nalaiaehuokalani Lumialani Kalākaua, the penultimate Hawaiian monarch Other uses King David (film), 1985 biographical film starri...
horribly. The only relief he could get was in his bath over which he improvised a desk to write his list of suspect counter-revolutionaries who were to be quickly tried and, if convicted, guillotined. David once again organized a spectacular funeral, and Marat was buried in the Panthéon. Marat's body was to be placed u...
tennis court. Presided over by Jean-Sylvain Bailly, they made a 'solemn oath never to separate' until a national constitution had been created. In 1789 this event was seen as a symbol of the national unity against the ancien regime. Rejecting the current conditions, the oath signified a new transition in human history ...
to be used on any type of copyrightable work, including documentation and source code. It was the first "generalized copyleft" license. The DSL was written by Michael Stutz. The
code. It was the first "generalized copyleft" license. The DSL was written by Michael Stutz. The DSL came out in the 1990s, before the formation of the
steps could be eliminated. Drummers' usage of electronic drum equipment can range from adding a single electronic pad to an acoustic kit (e.g., to have access to an instrument that might otherwise be impractical, such as a large gong), to using a mix of acoustic drums/cymbals and electronic pads, to using an acoustic k...
well, low-volume cymbals are used to reduce the volume of drums during practice, for drummers who are trying to avoid disturbing neighbors. Other acoustic instruments Other instruments that have regularly been incorporated into drum kits include: Wood block and cowbell. These are traditional in classic rock. As well, t...
"The Manse of Iucounu" "The Manse of Iucounu", from F&SF July 1966 3. Cugel's Saga (the author's preferred title is Cugel: The Skybreak Spatterlight) was marketed as a novel. ISFDB calls it "[t]wice as large and less episodic than Eyes of the Overworld" but qualifies that label. "This is marketed as a novel, but there ...
through rare artifacts (e.g. through the "Eyes of the Overworld") or dangerous magic phenomena (such as the ship Cugel encounters in the deserts). Though they can look at the wonders and pretend they are really there, humans can never truly inhabit or escape to these utopias as their physical bodies remain stuck on the...
is facilitated by the government within federal, state, and municipal courts. The proceedings are very formal and are governed by rules, such as rules of evidence and procedure, which are established by the legislature. Outcomes are decided by an impartial judge and/or jury, based on the factual questions of the case a...
to their position. Due to the antagonistic nature of litigation, collaborators frequently opt for solving disputes privately. Retired judges or private lawyers often become arbitrators or mediators; however, trained and qualified non-legal dispute resolution specialists form a growing body within the field of alternati...
a metropolis, and metropolises cannot be destroyed by the barbarians, so Player A loses a city because they have the next fewest active knights. Player A has 2 cities and 2 active basic knights. Player B has 3 cities and 1 active strong knight. Player C has 2 cities and 2 active basic knights. All players will lose a c...
can be stolen by the robber (with Seafarers, also the pirate), count against the resource hand limit, and may not be collected if the robber is on the terrain. Resources may be traded for commodities, and commodities may be traded for resources. Commodities can then be used to build city improvements (provided the play...
the open end, although this can only be done once per turn and may not be done with any ships that were created on the same turn. The "Longest Road" card is now renamed the "Longest Trade Route" since this is now calculated by counting the number of contiguous ships plus roads that a player has. A settlement or city is...
players of the older-edition Settlers games, containing the newer edition frames, so as to make them compatible with the newer edition of Seafarers; the older edition of Seafarers included a square frame, and while both older and newer editions of the frames have the same width across, the newer editions are not square...
medicine. Dynamical systems are a fundamental part of chaos theory, logistic map dynamics, bifurcation theory, the self-assembly and self-organization processes, and the edge of chaos concept. Overview The concept of a dynamical system has its origins in Newtonian mechanics. There, as in other natural sciences and engi...
the appropriate measure must be determined. This makes it difficult to develop ergodic theory starting from differential equations, so it becomes convenient to have a dynamical systems-motivated definition within ergodic theory that side-steps the choice of measure and assumes the choice has been made. A simple constru...
known as kitāb ḏimmat al-nabi, written in the 17th year of the Hijra (638 CE), which gave express liberty to the Jews living in Arabia to observe the Sabbath and to grow-out their side-locks, but required them to pay the jizya (poll-tax) annually for their protection. Muslim governments in the Indus basin readily exten...
among scholars as to how much of a burden jizya was. According to Norman Stillman: "jizya and kharaj were a "crushing burden for the non-Muslim peasantry who eked out a bare living in a subsistence economy." Both agree that ultimately, the additional taxation on non-Muslims was a critical factor that drove many dhimmis...
cartridge is plugged into the Nintendo 64 through an adaptor which connects only the lockout chip. The game cart used for the operation had to contain the same lockout chip used by the game back up. The second problem concerned saving progress. Most N64 games are saved to the cart itself instead of external memory card...
CDs, audio CDs and had an option for applying stereo 3D effects to the audio. History The V64 came out in 1996 and was priced around $450 USD. Some third-party developers used a number of V64s in their development process. In comparison, the Partner N64 development kit sold by Nintendo, manufactured by Silicon Graphics...
covering of doped madapollam (a fine, plain-woven cotton) fabric was stretched tightly over the shell and several coats of red, followed by silver dope, were added, followed by the final camouflage paint. Wing The all-wood wing pairs comprised a single structural unit throughout the wingspan, with no central longitudin...
aircraft, introduced during the Second World War. Unusual in that its frame was constructed mostly of wood, it was nicknamed the "Wooden Wonder", or "Mossie". Lord Beaverbrook, Minister of Aircraft Production, nicknamed it "Freeman's Folly", alluding to Air Chief Marshal Sir Wilfrid Freeman, who defended Geoffrey de Ha...
Million Dollar Man and The Bionic Woman. The Wellington School In 1982, Thomas and a consortium of entrepreneurs created and launched the first coeducational, independent school -- The Wellington School -- in Upper Arlington, Ohio. These entrepreneurs were Ken Ackerman, Harry K. Gard, Bob Holland, Len Immke, George Min...
in a more self-deprecating and folksy manner, which proved much more popular with test audiences. Consumer brand awareness of Wendy's eventually regained levels it had not achieved since octogenarian Clara Peller's wildly popular "Where's the beef?" campaign of 1984. With his natural self-effacing style and his relaxed...
system instability due to poorly written device drivers by creating a new framework for driver development, called Windows Driver Frameworks (WDF). This includes User-Mode Driver Framework (UMDF) that encourages development of certain types of drivers—primarily those that implement a message-based protocol for communic...
many different environments. Drivers may interface with: Printers Video adapters Network cards Sound cards Local buses of various sorts—in particular, for bus mastering on modern systems Low-bandwidth I/O buses of various sorts (for pointing devices such as mice, keyboards, etc.) Computer storage devices such as hard d...
city. Etymology The Negev Naming Committee chose the name based upon that of a biblical town, mentioned in Joshua 15:21-22, on the basis that "the sound of this name had been preserved in the Arabic name Harabat Umm Dumna." History Dimona was one of the development towns created in the 1950s under the leadership of Isr...
Ben-Israel, now deceased. The Black Hebrews number about 3,000 in Dimona, with additional families in Arad, Mitzpe Ramon and the Tiberias area. Their official status in Israel was an ongoing issue for many years, but in May 1990, the issue was resolved with the issuing of first B/1 visas, and a year later, issuing of t...
Marvel Comics' story "Green Goblin Reborn!" in The Amazing Spider-Man No. 96 (May 1971), and after the Code's updating in response, DC offered a drug-fueled storyline in writer Dennis O'Neil and artist Neal Adams' Green Lantern, beginning with the story "Snowbirds Don't Fly" in the retitled Green Lantern / Green Arrow ...
editors with artist-editors, including Joe Kubert and Dick Giordano, to give DC's output a more artistic critical eye. Kinney National Company/Warner Communications subsidiary (1967–1990) In 1967, National Periodical Publications was purchased by Kinney National Company, which purchased Warner Bros.-Seven Arts in 1969....
a quotient of two polynomials of degree at most two in with integer coefficients: Substituting this in the expressions for one gets, for , where are polynomials of degree at most two with integer coefficients. Then, one can return to the homogeneous case. Let, for , be the homogenization of These quadratic polynomials ...
greatest common divisor of and . Proof: If is this greatest common divisor, Bézout's identity asserts the existence of integers and such that . If is a multiple of , then for some integer , and is a solution. On the other hand, for every pair of integers and , the greatest common divisor of and divides . Thus, if the e...
is greater than 2, then has no solutions in non-zero integers , , and . I have a truly marvelous proof of this proposition which this margin is too narrow to contain.” Fermat's proof was never found, and the problem of finding a proof for the theorem went unsolved for centuries. A proof was finally found in 1994 by And...
books discovered in 1968 are also by Diophantus. Some Diophantine problems from Arithmetica have been found in Arabic sources. It should be mentioned here that Diophantus never used general methods in his solutions. Hermann Hankel, renowned German mathematician made the following remark regarding Diophantus. “Our autho...
Online Now Guys, or DONG), a YouTube channel and spin off of Vsauce, Vsauce2, Vsauce3, and Wesauce Other uses Dong people, an ethnic minority group of China Dong language (China) Dong language (Nigeria) Vietnamese đồng, a unit of currency Ørsted (company), a Danish energy company formerly known as DONG Energy Danish Cu...
Germany. D!NG Channel (previously Do Online Now Guys, or DONG), a YouTube channel and spin off of Vsauce, Vsauce2, Vsauce3, and Wesauce Other uses Dong people, an ethnic minority group of China Dong language (China) Dong language (Nigeria) Vietnamese đồng, a unit of currency Ørsted (company), a Danish energy company fo...
were considered to be lower-ranking nobles, who were in service to the aliʻi nui, or royalty. His paternal grandfather was Kahanamoku and his grandmother, Kapiolani Kaoeha (sometimes spelled Kahoea), a descendant of Alapainui. They were kahu, retainers and trusted advisors of the Kamehamehas, to whom they were related....
was not yet a state and was administered. In the postwar period, he also appeared in a number of television programs and films, such as Mister Roberts (1955). He was well-liked throughout the Hollywood community. Kahanamoku became a friend and surfing companion of heiress Doris Duke. She built a home (now a museum) on ...
John Shalikashvili – Chairman of the Joint Chiefs of Staff General Hugh Shelton – Chairman of the Joint Chiefs of Staff (three awards) General Eric Shinseki – US Army Chief of Staff (two awards) General Joseph Stilwell – Commander of the China Burma India Theater General Maxwell D. Taylor – US Army Chief of Staff Gener...
Theater) and Military Governor of Germany. During his tenure, Gen. Clay solved his greatest challenge: the Soviet Blockade of Berlin, which was imposed in June 1948. Gen. Clay triggered the Berlin Airlift, which served the city residents during the harsh winter of 1948–1949. He is also a recipient of the Legion of Meri...
awards) Peter Pace (four awards) David Petraeus (four awards) Colin Powell (four awards) Victor E. Renuart Jr. (four awards) John Shalikashvili (four awards) Hugh Shelton (four awards) John Abizaid (three awards) Peter W. Chiarelli (three awards) Vern Clark (three awards) James T. Conway (three awards) Martin Dempsey (...
on its breast is a shield of the United States. The pentagon and eagle are enclosed within a gold pieced circle consisting, in the upper half of 13 five-pointed stars and in the lower half, a wreath of laurel on the left and olive on the right. At the top is a suspender of five graduated gold rays. The reverse of the m...
Chambal The dacoity have had a large impact in the Bhind Morena of Chambal regions in Madhya Pradesh, Rajasthan, Haryana and Uttar Pradesh in north-central India. The exact reasons for the emergence of dacoity in the Chambal valley has been disputed. Most explanations have simply suggested feudal exploitation as the ca...
harsh life as highway robber in the countryside. Instead, they prefer to join crime groups in the city, where life is easier. Other dacoity The term is also applied, according to the OED, to "pirates who formerly infested the Ganges between Calcutta and Burhampore". Dacoits existed in Burma as well – Rudyard Kipling's ...
Initiative with the "CoolDavis" campaign, requiring all new roofing projects to meet Cool Roof Rating Council (CRRC) requirements, including the installation of light-colored roofs. The aim is to reflect more sunlight back into space via the albedo effect, and reduce the amount of heat absorbed in hopes of limiting cli...
1970s, Davis became a pioneer in the implementation of cycling facilities. As the city expands, new facilities are usually mandated. As a result, Davis residents today enjoy an extensive network of bike lanes, bike paths, and grade-separated bicycle crossings. The flat terrain and temperate climate are also conducive t...
the author invented a peculiar argot for his characters to speak. Runyon almost totally avoids the past tense (English humorist E.C. Bentley thought there was only one instance, and was willing to "lay plenty of 6 to 5 that it is nothing but a misprint", but "was" appears in the short stories "The Lily of St Pierre" an...
(1934) Money From Home (1935) More Than Somewhat (1937) Furthermore (1938) Take It Easy (1938) My Wife Ethel (1939) My Old Man (1939) Runyon à la Carte (1944) In Our Town (1946) The Three Wise Guys and Other Stories (1946) Damon Runyon Favorites (1946) Trials and Other Tribulations (1947) Collected newspaper columns Sh...
faces of 'critters' on packaged goods. He was the first to draw Tony the Tiger for the Kellogg's Sugar Frosted Flakes advertising campaign in
agency placed anthropomorphic faces of 'critters' on packaged goods. He was the first to draw Tony the Tiger for the Kellogg's Sugar Frosted Flakes advertising campaign in 1952. Tennant was also in charge of the Marlboro account and invented the
continuing to evolve, mankind had begun to regress, as evidenced by the dysfunction and herd mentality of American society. In the late 1960s, this idea was developed as a joke by Kent State University art students Gerald Casale and Bob Lewis, who created a number of satirical art pieces in a devolution vein. At this t...
Are Devo!, and Duty Now for the Future Recommendations from David Bowie and Iggy Pop enabled Devo to secure a recording contract with Warner Bros. in 1978. After Bowie backed out of the business deal due to previous commitments, their first album, Q: Are We Not Men? A: We Are Devo! was produced by Brian Eno and feature...
Hackett, a Seattle Post-Intelligencer art critic, provided a chronology of Chihuly's work during the 1970s, 1980s, and 1990s: 1975: Navajo Blanket Series, in which patterns of Navajo blankets were painted onto glass 1977: Northwest Coast Basket Series, baskets inspired by Northwest coast Indian baskets he had seen as a...
from Chihuly's website 1992: Chandeliers, starting modestly but by the middle of the decade involving a ton of glass orbs and shapes that in some works look like flowers, others like breasts, and still others like snakes. Chihuly has also produced a sizable volume of "Irish cylinders", which are more modest in concepti...
2003 his "Project Slingshot", an inexpensive portable water purification system, was named a runner-up for "coolest invention of 2003" by Time magazine. In 2005 he was inducted into the National Inventors Hall of Fame for his invention of the AutoSyringe. In 2006 Kamen was awarded the "Global Humanitarian Action Award"...
(based on the drug infusion pump technology), and an all-terrain electric wheelchair known as the iBOT, using many of the same gyroscopic balancing technologies that later made their way into the Segway. Kamen has worked extensively on a project involving Stirling engine designs, attempting to create two machines: one ...
option to pay fixed and receive floating. Swaps can basically be categorized into two types: Interest rate swap: These basically necessitate swapping only interest associated cash flows in the same currency, between two parties. Currency swap: In this kind of swapping, the cash flow between the two parties includes bot...
deteriorates steadily until the contract expires. An important difference between a lock product is that, after the initial exchange, the option purchaser has no further liability to its counterparty; upon maturity, the purchaser will execute the option if it has positive value (i.e., if it is "in the money") or expire...
and ESPN and Sports Content Walt Disney Television Disney Channel, a cable TV network Walt Disney Television, a United States-based TV production company Disney Television Animation, a TV studio dedicated to animation Capital Disney, a Disney radio station in the United Kingdom Radio Disney, a Disney radio station in t...
Disney Imagineering, the research and development arm, responsible for the creation, design, and construction of Disney theme parks and attractions worldwide Disney Publishing Worldwide, publishing subsidiary Disney Media Networks, the former division before October 2020 restructuring into Disney Media and Entertainmen...
Peasant Rebellion of 1525 in Germany in his Against the Murderous, Thieving Hordes of Peasants, basing his argument on St. Paul's Epistle to the Romans. It is related to the ancient Catholic philosophies regarding monarchy, in which the monarch is God's vicegerent upon the earth and therefore subject to no inferior pow...
or God's mandation is a political and religious doctrine of political legitimacy of a monarchy. It stems from a specific metaphysical framework in which a monarch is, before birth, pre-ordained to inherit the crown. According to this theory of political legitimacy, the subjects of the crown have actively (and not merel...
the philosopher Bertrand Russell. In order to prepare for filming under the heavy mask, Wisher rehearsed wearing a paper bag over his head. Friedlander's mask was cast in hard latex, with only the mouth revealing Wisher's features; make-up artist Sylvia James shaded the mask's tones and blackened Wisher's lips and teet...
against Davros. By the story's end the Emperor personality is dominant, and the Daleks agree to follow him and leave Earth. In the fourth volume of the Time War series, looking at the Eighth Doctor's role in the Time War, after The Valeyard uses a Dalek weapon to erase the Daleks from history, the Dalek Time Strategist...
against the Time Lords that affected much of the universe and altered parts of history. In the programme's narrative, the planet Skaro suffered a thousand-year war between two societies: the Kaleds and the Thals. During this time-period, many natives of Skaro became badly mutated by fallout from nuclear weapons and che...
Some of these movie props filtered back to the BBC and were seen in the televised serials, notably The Chase, which was aired before the first movie's debut. The remaining props not bought by the BBC were either donated to charity or given away as prizes in competitions. The BBC's own Dalek props were reused many times...
Davy Jones (1971) was notable for the song "Rainy Jane", which reached No. 52 in the Billboard charts. To promote the album, Jones performed "Girl" on an episode of The Brady Bunch entitled "Getting Davy Jones". Although the single sold poorly, the popularity of Jones' appearance on the show resulted in "Girl" becoming...
Jones the "Number 1 teen idol of all time". In 2009, Jones was rated second in a list of 10 best teen idols compiled by Fox News. In 2009, Jones made a cameo appearance as himself in the SpongeBob SquarePants episode "SpongeBob SquarePants vs. The Big One" (his appearance was meant as a pun on the phrase "Davy Jones' L...
discharge, the volumetric flow rate of groundwater through an aquifer Discharging method (discrete mathematics) is a proof technique in discrete mathematics Electric discharge: Corona discharge, a type of electric current Direct-current discharge, a plasma Discharger, an electrical device that releases stored energy Ba...
between two objects Dielectric barrier discharge, the electrical discharge between two electrodes separated by an insulating dielectric barrier Gas-discharge lamp, a light bulb that includes a discharge gas Partial discharge, a temporary breakdown of electrical insulation Government and Law Discharge (sentence), a crim...
severe arthritis. A Finn Dorset such as Dolly has a life expectancy of around 11 to 12 years, but Dolly lived 6.5 years. A post-mortem examination showed she had a form of lung cancer called ovine pulmonary adenocarcinoma, also known as Jaagsiekte, which is a fairly common disease of sheep and is caused by the retrovir...
"the world's most famous sheep" by sources including BBC News and Scientific American. The cell used as the donor for the cloning of Dolly was taken from a mammary gland, and the production of a healthy clone, therefore, proved that a cell taken from a specific part of the body could recreate a whole individual. On Dol...
Bride of the Monster (1956), also with Lugosi. Fuller hosted a benefit for Lugosi which preceded the showing of Bride of the Atom (early working title of Bride of the Monster) on May 11, 1955. A cocktail party was held at the Gardens Restaurant at 4311 Magnolia Avenue in Burbank, California. Vampira attended and was es...
of 10, when she appeared briefly in Frank Capra's It Happened One Night. According to Fuller, the female lead in Bride of the Monster was written for her but Wood gave it to Loretta King instead. In August 1954, Fuller was cast in Wood's The Vampire's Tomb, intended to star Bela Lugosi. Frank Yaconelli was named as her...
who maintained a polite fiction of Ottoman suzerainty. However, starting from around 1882, the rulers had only de jure rule over Egypt, as it had by then become a British puppet state. Thus, Egypt was by Ottoman law de jure a province of the Ottoman Empire, but de facto was part of the British Empire. In U.S. law, part...
Between 1805 and 1914, the ruling dynasty of Egypt ruled as de jure viceroys of the Ottoman Empire, but acted as de facto independent rulers who maintained a polite fiction of Ottoman suzerainty. However, starting from around 1882, the rulers had only de jure rule over Egypt, as it had by then become a British puppet s...
an important city in U.S. presidential politics; as the state's capital, it is the site of the first caucuses of the presidential primary cycle. Many presidential candidates set up campaign headquarters in Des Moines. A 2007 article in The New York Times said, "If you have any desire to witness presidential candidates ...
0.3% Asian Indian, 0.3% Thai, 0.2% Chinese, 0.2% Cambodian, 0.2% Filipino, 0.1% Hmong, 0.1% Korean, 0.1% Nepalese), 0.1% Pacific Islander, 5.0% from other races, and 3.4% from two or more races. People of Hispanic or Latino origin, of any race, formed 12.0% of the population (9.4% Mexican, 0.7% Salvadoran, 0.3% Guatema...
Salt Flats, optimistic in his outlook. Water speed records Campbell began his speed record attempts in the summer of 1949, using his father's old boat, Blue Bird K4, which he renamed Bluebird K4. His initial attempts that summer were unsuccessful, although he did come close to raising his father's existing record. The ...
the measured kilometre at a speed of over . The average speed for the first run was . Campbell lifted his foot from the throttle about 3/10 of a second before passing the southern kilometre marker. As Bluebird left the measured kilometre, Keith Harrison and Eric Shaw in a course boat at the southern end of the measured...
if and only if and If is a topological space and is a point in set of all neighbourhoods of can be turned into a directed set by writing if and only if contains For every and : since contains itself. if and then and which implies Thus because and since both and we have and If is a real number then the set can be turned...
the (possibly empty) sets of maximal and of greatest elements. Examples of directed sets include: The set of natural numbers with the ordinary orderis a directed set (and so is every totally ordered set). Let and be directed sets. Then the Cartesian product set can be made into a directed set by defining if and only if...
published in January 1888, captured the public imagination and catapulted Bellamy to literary fame. The publisher of the book could scarcely keep up with demand. Within a year the book had sold some 200,000 copies and by the end of the 19th century it had sold more copies than any other book published in America up to ...
Bellamy published Looking Backward in 1888. Looking Backward was one of the most commercially successful books published in the United States in the 19th century, and it especially appealed to a generation of intellectuals alienated from the alleged dark side of the Gilded Age. In the early 1890s, Bellamy established a...
A Void (La Disparition) (1969) and its English translation by Gilbert Adair omit 'e' and are considered better works. Related characters Descendants and related characters in the Latin alphabet E with diacritics: Ĕ ĕ Ḝ ḝ Ȇ ȇ Ê ê Ê̄ ê̄ Ê̌ ê̌ Ề ề Ế ế Ể ể Ễ ễ Ệ ệ Ẻ ẻ Ḙ ḙ Ě ě Ɇ ɇ Ė ė Ė́ ė́ Ė̃ ė̃ Ẹ ẹ Ë ë È è È̩ è̩ Ȅ ȅ É é É...
or for or in English, for in German, and for in French or in German. Other systems The International Phonetic Alphabet uses for the close-mid front unrounded vowel or the mid front unrounded vowel. Most common letter 'E' is the most common (or highest-frequency) letter in the English language alphabet (starting off the...
opportunity cost of an activity is an element in ensuring that scarce resources are used efficiently, such that the cost is weighed against the value of that activity in deciding on more or less of it. Opportunity costs are not restricted to monetary or financial costs but could be measured by the real cost of output f...
and any other field economic analysis can be applied to; but, as the science that studies a particular common aspect of each of those subjects (they all use scarce resources to attain a sought after end). Some subsequent comments criticized the definition as overly broad in failing to limit its subject matter to analys...
Materials Division cooperated with Delta Optoelectronics Inc. in developing Quick Response Liquid Powder Display technology. Electrophoretic displays can be manufactured using the Electronics on Plastic by Laser Release (EPLaR) process developed by Philips Research to enable existing AM-LCD manufacturing plants to crea...
various colors via interference of reflected light. The color is selected with an electrically switched light modulator comprising a microscopic cavity that is switched on and off using driver integrated circuits similar to those used to address liquid crystal displays (LCD). Plasmonic electronic display Plasmonic nano...
and be lost to space, which may trigger a runaway greenhouse effect, within an estimated 1.6 to 3 billion years. Even if the Sun were stable, a fraction of the water in the modern oceans will descend to the mantle, due to reduced steam venting from mid-ocean ridges. The Sun will evolve to become a red giant in about . ...
upwelling of mantle material at divergent boundaries creates mid-ocean ridges. The combination of these processes recycles the oceanic crust back into the mantle. Due to this recycling, most of the ocean floor is less than old. The oldest oceanic crust is located in the Western Pacific and is estimated to be old. By co...
scoured channel passed a river, the Channel River, which drained the combined Rhine and Thames westwards to the Atlantic. The flooding destroyed the ridge that connected Britain to continental Europe, although a land connection across the southern North Sea would have existed intermittently at later times when periods ...
came when the Dutch and Belgian ports were held by a major continental power, e.g. from the Spanish Armada in 1588, Napoleon during the Napoleonic Wars, and Nazi Germany during World War II. Successful invasions include the Roman conquest of Britain, the Norman Conquest in 1066 and the Glorious Revolution of 1688, whil...
tower to perform experiments on the action of air resistance on falling bodies. Subsequent events For the 1900 Exposition Universelle, the lifts in the east and west legs were replaced by lifts running as far as the second level constructed by the French firm Fives-Lille. These had a compensating mechanism to keep the ...
tower to the Egyptian pyramids: "My tower will be the tallest edifice ever erected by man. Will it not also be grandiose in its way? And why would something admirable in Egypt become hideous and ridiculous in Paris?" These criticisms were also dealt with by Édouard Lockroy in a letter of support written to Alphand, sar...
doing no harm unto others to speaking always the truth to keeping promises, are rooted in the one fundamental principle of self-interest. It has been observed, however, that the very act of eating (especially, when there are others starving in the world) is such an act of self-interested discrimination. Ethical egoists...
necessarily entail that, in pursuing self-interest, one ought always to do what one wants to do; e.g. in the long term, the fulfillment of short-term desires may prove detrimental to the self. Fleeting pleasure, then, takes a back seat to protracted eudaimonia. In the words of James Rachels, "Ethical egoism ... endorse...
across biological domains. Large-scale gene transfer has also occurred between the ancestors of eukaryotic cells and bacteria, during the acquisition of chloroplasts and mitochondria. It is possible that eukaryotes themselves originated from horizontal gene transfers between bacteria and archaea. Evolutionary processes...
larger-scale transfers are the eukaryotic bdelloid rotifers, which have received a range of genes from bacteria, fungi and plants. Viruses can also carry DNA between organisms, allowing transfer of genes even across biological domains. Large-scale gene transfer has also occurred between the ancestors of eukaryotic cell...
American Museum of Natural History in New York. In New Guinea, Mayr collected several thousand bird skins (he named 26 new bird species during his lifetime) and, in the process also named 38 new orchid species. During his stay in New Guinea, he was invited to accompany the Whitney South Seas Expedition to the Solomon I...
he continued to write books. On his 100th birthday, he was interviewed by Scientific American magazine. Mayr died on 3 February 2005 in his retirement home in Bedford, Massachusetts, after a short illness. He had married fellow German Margarete "Gretel" Simon in May 1935 (they had met at a party in Manhattan in 1932), ...
In 1932–1933, under Stalin's leadership, confiscations of grain by the Soviet authorities contributed to the second Soviet famine which caused millions of deaths; surviving kulaks were persecuted and many sent to Gulags to do forced labour. Stalin was also responsible for the Great Purge of 1937–38 in which the NKVD ex...
Sudetenland, which was a part of Czechoslovakia inhabited by ethnic Germans, and in early 1939, the remainder of Czechoslovakia was split into the Protectorate of Bohemia and Moravia, controlled by Germany and the Slovak Republic. At the time, Britain and France preferred a policy of appeasement. With tensions mounting...
1976 instrumental by Carlos Santana "Europa", a 1980 song by Blondie from Autoamerican "Europa", a 1998 song by Prozzäk from Hot Show "Europa", a 2005 song by Rosetta from The Galilean Satellites "Europa", a 2007 song by Globus from Epicon "Europa", a 2008 song by Mónica Naranjo from Tarántula "Europa", a 2013 song by ...
in Brussels, Belgium Europa Hotel (disambiguation) Europa Hut, a Swiss mountain hut Europa Tower, Vilnius, Lithuania Fictional locations Europa, a fictional place in Valkyria Chronicles People Europa of Macedon, the daughter of Philip II by his last wife, Cleopatra Madama Europa or Europa Rossi (fl. 1600), sister of Sa...
one of three sets of microtubules that arise from the flagellar bases; the other two support the dorsal and ventral surfaces of the cell. Some other euglenozoa feed through absorption, and many euglenids possess chloroplasts, the only eukaryotes outside Diaphoretickes to do so without performing kleptoplasty, and so ob...
free-living species, as well as a few important parasites, some of which infect humans. There are two main subgroups, the euglenids and kinetoplastids. Euglenozoa are unicellular, mostly around in size, although some euglenids get up to long. Structure Most euglenozoa have two flagella, which are inserted parallel to o...
necessary and sufficient conditions for knowledge, and many contemporary epistemologists have come to the conclusion that no such exception-free definition is possible. However, even if justification fails as a condition for knowledge as some philosophers claim, the question of whether or not a person has good reasons ...
pocket. Smith has excellent reasons to believe that Jones will get the job (the head of the company told him); and furthermore, Smith knows that Jones has ten coins in his pocket (he recently counted them). From this Smith infers: "The man who will get the job has ten coins in his pocket." However, Smith is unaware tha...
Association collaborated in 2017 with UNESCO to deliver an Esperanto translation of its magazine UNESCO Courier (Unesko Kuriero en Esperanto). Esperanto was also the first language of teaching and administration of the International Academy of Sciences San Marino. The League of Nations made attempts to promote teaching...
no country has adopted Esperanto officially, Esperantujo ("Esperanto-land") is the name given to the collection of places where it is spoken. While many of its advocates continue to hope for the day that Esperanto becomes officially recognized as the international auxiliary language, some (including raŭmistoj) have sto...
engineers usually have training in electronic engineering (or electrical engineering), software design, and hardware-software integration instead of only software engineering or electronic engineering. Geological engineering Geological engineering is associated with anything constructed on or within the Earth. This dis...
third Eddystone Lighthouse (1755–59) where he pioneered the use of 'hydraulic lime' (a form of mortar which will set under water) and developed a technique involving dovetailed blocks of granite in the building of the lighthouse. He is important in the history, rediscovery of, and development of modern cement, because ...
statistical base to compare education systems. In 1997, it defined 7 levels of education and 25 fields, though the fields were later separated out to form a different project. The current version ISCED 2011 has 9 rather than 7 levels, created by dividing the tertiary pre-doctorate level into three levels. It also exten...
not follow a specified curriculum, it can also occur within educational settings and even during formal learning situations. Educators can structure their lessons to directly utilize their students informal learning skills within the education setting. In the late 19th century, education through play began to be recogn...
as the Dictionary of the Middle Ages, the Dictionary of American Naval Fighting Ships, and Black's Law Dictionary). The Macquarie Dictionary, Australia's national dictionary, became an encyclopedic dictionary after its first edition in recognition of the use of proper nouns in common communication, and the words derive...
Chinese history, including the scientist and statesman Shen Kuo (1031–1095) with his Dream Pool Essays of 1088, the statesman, inventor, and agronomist Wang Zhen (active 1290–1333) with his Nong Shu of 1313, and the written Tiangong Kaiwu of Song Yingxing (1587–1666), the latter of whom was termed the "Diderot of China...
press N, and then X in the same fashion, and so on. Current flows from the battery (1) through a depressed bi-directional keyboard switch (2) to the plugboard (3). Next, it passes through the (unused in this instance, so shown closed) plug "A" (3) via the entry wheel (4), through the wiring of the three (Wehrmacht Enig...
Rejewski, a Polish mathematician and cryptologist at the Polish Cipher Bureau, used the theory of permutations, and flaws in the German military-message encipherment procedures, to break message keys of the plugboard Enigma machine. France's spy Hans-Thilo Schmidt obtained access to German cipher materials that include...
reactions to be operated at a very high rate. Enzymes are usually much larger than their substrates. Sizes range from just 62 amino acid residues, for the monomer of 4-oxalocrotonate tautomerase, to over 2,500 residues in the animal fatty acid synthase. Only a small portion of their structure (around 2–4 amino acids) i...
positions that enable the enzyme to perform its catalytic function. In some cases, such as glycosidases, the substrate molecule also changes shape slightly as it enters the active site. The active site continues to change until the substrate is completely bound, at which point the final shape and charge distribution is...
are knowable and objective moral truths. Some proponents of moral skepticism include Pyrrho, Aenesidemus, Sextus Empiricus, David Hume, Max Stirner, Friedrich Nietzsche, and J.L. Mackie. Moral skepticism is divided into three sub-classes: Moral error theory (or moral nihilism). Epistemological moral skepticism. Non-cog...
refers to Mozi's stance against warfare and violence, which he viewed as pointless and a threat to social stability. Stanford sinologist David Shepherd Nivison, in The Cambridge History of Ancient China, writes that the moral goods of Mohism "are interrelated: more basic wealth, then more reproduction; more people, the...
partition Let Some definitions: Equivalence class A subset Y of X such that holds for all a and b in Y, and never for a in Y and b outside Y, is called an equivalence class of X by ~. Let denote the equivalence class to which a belongs. All elements of X equivalent to each other are also elements of the same equivalenc...
is never true) on a set X is vacuously symmetric and transitive; however, it is not reflexive (unless X itself is empty). The relation "is approximately equal to" between real numbers, even if more precisely defined, is not an equivalence relation, because although reflexive and symmetric, it is not transitive, since m...
called the quotient set or the quotient space of by and is denoted by When the set has some structure (such as a group operation or a topology) and the equivalence relation is compatible with this structure, the quotient set often inherits a similar structure from its parent set. Examples include quotient spaces in lin...
only one equivalence class. Conversely, every partition of comes from an equivalence relation in this way, according to which if and only if and belong to the same set of the partition. It follows from the properties of an equivalence relation that if and only if In other words, if is an equivalence relation on a set a...
on a screen. They can also be played online with participants joining in remotely. In the second half of the 20th century and in the 21st century the number of such games increased enormously, providing a wide variety of entertainment to players around the world. Video games are popular across the world. Literature Rea...
now rarely performed. On the other hand, many folk dances (such as Scottish Highland dancing and Irish dancing), have evolved into competitions, which by adding to their audiences, has increased their entertainment value. "Irish dance theatre, which sometimes features traditional Irish steps and music, has developed in...
presence of air or oxygen, ethers tend to form explosive peroxides, such as diethyl ether hydroperoxide. The reaction is accelerated by light, metal catalysts, and aldehydes. In addition to avoiding storage conditions likely to form peroxides, it is recommended, when an ether is used as a solvent, not to distill it to ...
variety of reagents, e.g. strong base. Peroxide formation When stored in the presence of air or oxygen, ethers tend to form explosive peroxides, such as diethyl ether hydroperoxide. The reaction is accelerated by light, metal catalysts, and aldehydes. In addition to avoiding storage conditions likely to form peroxides,...
the first point of Aries and the ascending node of the ecliptic on the celestial equator. The crossing from north to south is the autumnal equinox or descending node. The orientation of Earth's axis and equator are not fixed in space, but rotate about the poles of the ecliptic with a period of about 26,000 years, a pro...
celestial equator Because Earth's rotational axis is not perpendicular to its orbital plane, Earth's equatorial plane is not coplanar with the ecliptic plane, but is inclined to it by an angle of about 23.4°, which is known as the obliquity of the ecliptic. If the equator is projected outward to the celestial sphere, f...
of Imereti (1260–1810) Principality of Svaneti (1463–1858) Principality of Mingrelia (1557–1867) Principality of Guria (1460s–1829) Samtskhe-Saatabago (1266–1625) Kingdom of Kartli (1478–1762) Kingdom of Kakheti (1465–1762) Kingdom of Kartli-Kakheti (1762–1801) Democratic Republic of Georgia (1918–1921) First Republic ...
of Perloja (1918–1923) Republic of Central Lithuania (1920–1922) Lithuanian–Byelorussian Soviet Socialist Republic (1919) Belarusian People's Republic (1918–1919) Byelorussian Soviet Socialist Republic (1919–1922) State of the Teutonic Order (1230–1525) Kingdom of Livonia (1570–1578) United Baltic Duchy (1918) Latvian ...