While at university, Gauss independently rediscovered several important theorems ; his breakthrough occurred in 1796 when he showed that any regular polygon with a number of sides which is a Fermat prime ( and, consequently, those polygons with any number of sides which is the product of distinct Fermat primes and a power of 2 ) can be constructed by compass and straightedge.

While the new capital was easier to defend, it was poorly situated to allow Roman forces to protect central Italy from the increasingly regular threat of barbarian incursions.

While Cabrera, Willis, and several others posted very good first-half numbers, Lowell was one of the least productive regular major-league starters, and Leiter went 3 – 7 with an ERA of 6. 64 before being traded to the New York Yankees on July 15 for a player to be named later.

While his stories appeared in the pages of prominent pulp magazines such as Weird Tales ( eliciting letters of outrage as often as letters of praise from regular readers of the magazines ), not many people knew his name.

While some hedge funds that are based offshore report their NAV to the Financial Times, for the most part there is no method of ascertaining pricing on a regular basis.

While many viewers came only to laugh, the Salon des Refusés drew attention to the existence of a new tendency in art and attracted more visitors than the regular Salon.

While no Orthodox legal authorities agree that women can form a minyan ( prayer quorum ) for the purpose of regular services, women in these groups read the prayers and study Torah.

Worf was the only character to be a regular in more than one live-action Star Trek series ( While Miles O ' Brien was featured in both The Next Generation and Deep Space Nine, he was not a regular cast member in the former series ).

While the recurring character of Michael Eddington ( played by Kenneth Marshall ) in Deep Space Nine was a member of the Maquis, Voyager contained three regular Maquis characters, Chakotay ( Robert Beltran ), Seska ( Martha Hackett ) and B ' Elanna Torres ( Roxann Dawson ), as well as Tom Paris ( Robert Duncan McNeill ), a regular character that had been captured and imprisoned for joining the Maquis.

While the 1972 team faced no competition that possessed a better record than 8-6 in the regular season, the 1973 team played a much tougher schedule that included games against the Oakland Raiders, Pittsburgh Steelers, and Dallas Cowboys ( all playoff teams ), plus two games against a resurgent Buffalo Bills squad that featured 2, 000-yard rusher O. J.

While SVO is considered " regular ," it often changes to emphasize a different part of the sentence.

While real-world sound changes often admit exceptions ( for a variety of known reasons, and sometimes without one ), the expectation of their regularity or " exceptionlessness " is of great heuristic value, since it allows historical linguists to define the notion of regular correspondence ( see: comparative method ).

While most herbal teas are safe for regular consumption, some herbs have toxic or allergenic effects.

While regular season and post-season games in the NFL are all broadcast by national television contracts on CBS, Fox, NBC, ESPN and NFL Network, the television broadcasts are for the most part handled by the individual teams.

While the encoding default for HTML pages served as XML is required to be UTF-8, the encoding default for a regular Web page ( that is: for HTML pages serialized as ) varies depending on the localization of the browser.

While very few women with Turner Syndrome menstruate spontaneously, estrogen therapy requires a regular shedding of the uterine lining (" withdrawal bleeding ") to prevent its overgrowth.

While it is possible to construct analogies to the Penrose triangle with other regular polygons to create a Penrose polygon, the visual effect is not as striking, and as the sides increase, the object seems merely to be warped or twisted.

While they may be more costly to install than regular heat pumps, they can produce markedly lower energy bills — 30 to 40 percent lower, according to estimates from the U. S. Environmental Protection Agency.

While Greek tragedy continued to be performed throughout the Roman period, the year 240 BCE marks the beginning of regular Roman drama.

While life peerages were often created in the early days of the Peerage, their regular creation was not provided for by Act of Parliament until the Appellate Jurisdiction Act 1876.

While some tramps may do odd jobs from time to time, unlike other temporarily homeless people they do not seek out regular work and support themselves by other means such as begging or scavenging ( see Waste picker ).

While all nouns have a regular ending for the six locative cases, many have a preferred irregular short illative form.

While the Spurs were bouncing the Nuggets, the Mavericks, who had an NBA best 67 – 15 record in the regular season, were unraveling, losing to the Golden State Warriors in six games.

While the phonemes can be very easily stated, no one is likely to be satisfied with the statement until phonemic occurrences can be related in some way to morphemic units, i.e. until the morphophonemics is worked out, or at least far enough that it seems reasonable to expect success.

While administrative decision-making bodies are often controlled by larger governmental units, their decisions could be reviewed by a court of general jurisdiction under some principle of judicial review based upon due process ( United States ) or fundamental justice ( Canada ).

While these included elite Bersaglieri, Alpini and Cacciatori units, a large proportion of the troops were inexperienced conscripts recently drafted from metropolitan regiments in Italy into newly formed " di formazione " battalions for service in Africa.

While most armies still maintained cavalry units at the outbreak of World War II in 1939, significant mounted action was largely restricted to the Polish, Balkan and Soviet campaigns.

While most modern " cavalry " units have some historic connection with formerly mounted troops this is not always the case.

While these tests are not required in US, an estimated 75 – 90 % of the blood supply is currently tested for Chagas, including all units collected by the American Red Cross, which accounts for 40 % of the U. S. blood supply.

While capital ship engagements were scarce in World War I, destroyer units were almost continually engaged in raiding and patrol actions.

While the identification of memes as " units " conveys their nature to replicate as discrete, indivisible entities, it does not imply that thoughts somehow become quantized or that " atomic " ideas exist that cannot be dissected into smaller pieces.

While the CIA Factbook in 2006 stated that the " US is the only industrialized nation that does not mainly use the metric system ", ( in addition to non-industrialised Burma / Myanmar, Liberia ), the actual situation, however, is more complicated than the CIA Factbook would suggest-in the United Kingdom, for example, although metric is the official system for most regulated trading by weight or measure purposes, the pint is the official unit for milk in returnable bottles and for draught beer and cider in British pubs, and miles, yards and feet remain the official units for road signage.

While words are generally accepted as being ( with clitics ) the smallest units of syntax, it is clear that in most languages, if not all, words can be related to other words by rules ( grammars ).

While Nintendo's Research & Development 3 division ( R & D3 ) was focused on developing the Nintendo 64, the other two engineering units were free to experiment with new product ideas.

While it is widely agreed that phonology is grounded in phonetics, phonology is a distinct branch of linguistics, concerned with sounds and gestures as abstract units ( e. g., distinctive features, phonemes, mora, syllables, etc.

While the moment in time at which a particular nucleus decays is unpredictable, a collection of atoms of a radioactive nuclide decays exponentially at a rate described by a parameter known as the half-life, usually given in units of years when discussing dating techniques.

While not forming large batteries and employing only lighter 3-and 2-pound guns, they were still effective and inflicted serious losses to Prussian units in the Seven Years ' War.

While the German Blitzkrieg doctrine called for combined-arms action, which required fire support for armoured units, during the invasion of Poland and France this was provided by the Luftwaffe using Stuka dive-bombers effectively acting as artillery.

While almost all reactions have integer-ratio stoichiometry in amount of matter units ( moles, number of particles ), some nonstoichiometric compounds are known that cannot be represented by a ratio of well-defined natural numbers.

While IP handles actual delivery of the data, TCP keeps track of the individual units of data transmission, called segments, that a message is divided into for efficient routing through the network.

While direct measurement of the most violent tornado wind speeds is nearly impossible, since conventional anemometers would be destroyed by the intense winds, some tornadoes have been scanned by mobile Doppler radar units, which can provide a good estimate of the tornado's winds.

While some open units are physically unlocked, other open units still use locked entrances and exits depending on the type of patients admitted.

While flexible units offer some movement and give between the shafts, rigid couplings are the most effective choice for precise alignment and secure hold.

While he interfered less in the day-to-day movements of units than at Arnhem, he still kept himself fully informed on the situation, slowing the Allies ' progress, inflicting heavy casualties and taking full advantage of the fortifications the Germans called the Westwall, better known to the Allies as the Siegfried Line.

While the system was first developed for commercial use, its coherent set of units made it particularly suitable for scientific and engineering purposes.

While baronies continue to be officially defined units, they are no longer used for many administrative purposes.

While declination is measured in degrees, right ascension is measured in units of time, because it was most natural to name locations in the sky in connection with the time when they crossed the meridian.