While the latter differentiates with respect to a vector in finite dimensions, the former differentiates with respect to a continuous function.

While these two schools may seem quite opposed to each other in some regards, they both share a view of nature as a fundamentally amoral force, and by extension, reality as an arena without set moral imperative – a stance that differentiates both schools from Confucianism.

While he was handling the multi-million-dollar funding operations of the Government he had to resort to borrowing small sums from friends.

While the method of interviewing a small number of companies was appealing because of the opportunity it might have furnished to probe fully the reasons and circumstances of a company's practices and opinions, it also involved the risk of paying undue attention to the unique and peculiar problems of just a few individual companies.

While costs on this order are sometimes separately charged for in residential and commercial rates, in the form of a mere `` service charge '', they are more frequently wholly or partly covered by a minimum charge which entitles the consumer to a very small amount of gas or electricity with no further payment.

While women had always attended ball games in small numbers ( it was the part of a `` dead game sport '' in the early years of the twentieth century to be taken out to the ball park and to root, root, root for the home team ), they had often sat in patient martyrdom, unable even to read the scoreboard, which sometimes seemed to indicate that one team led another by a score of three hundred and eighty to one hundred and fifty-one.

) While Rotokas has a small alphabet because it has few phonemes to represent ( just eleven ), Book Pahlavi was small because many letters had been conflated — that is, the graphic distinctions had been lost over time, and diacritics were not developed to compensate for this as they were in Arabic, another script that lost many of its distinct letter shapes.

While Renaissance artists sought nature to find their style, the Mannerists looked first for a style and found a manner. In Mannerist paintings, compositions can have no focal point, space can be ambiguous, figures can be characterized by an athletic bending and twisting with distortions, exaggerations, an elastic elongation of the limbs, bizarre posturing on one hand, graceful posturing on the other hand, and a rendering of the heads as uniformly small and oval.

While this disturbance is usually small, it is still noticeable to the human ear.

While all real fluids are compressible, a flow problem is often considered incompressible if the density changes in the problem have a small effect on the outputs of interest.

While hunting they used small watercrafts called Baidarkas and during travel they used their large Baidaras.

While small areas of the outback consist of clay soils the majority has exceedingly infertile palaeosols.

While small areas of the outback consist of clay soils the majority has exceedingly infertile palaeosols.

While the numerical difference between the decimal and binary interpretations is relatively small for the prefixes kilo and mega, it grows to over 20 % for prefix yotta, illustrated in the linear-log graph ( at right ) of difference versus storage size.

While Brown is considered a small research university with 682 full-time faculty and 1, 919 graduate students, five of its professors and two of its alumni have been honored as Nobel Laureates.

While they are not major teratogens, uncertainty remains as to whether they cause cleft palate in a small number of babies and whether neurobehavioural effects occur as a result of prenatal exposure ; they are known to cause withdrawal symptoms in the newborn.

While the definitive studies are lacking, the former view received support from a 2004 meta-analysis of 13 small studies.

While most elements are generally viewed as stable, a small amount of natural transformation of one element to another also occurs in the present time, through decay of radioactive elements as well as other natural nuclear processes.

While all of the 98 naturally occurring elements have been identified in mineral samples from the Earth's crust, only a small minority of elements are found as recognizable, relative pure minerals.

While the number of cardinals was small from the times of the Roman Empire to the Renaissance, and frequently smaller than the number of recognized churches entitled to a cardinal priest, in the 16th century the College expanded markedly.

While western Cairo is dominated by wide boulevards, open spaces, and modern architecture of European influence, the eastern half, having grown haphazardly over the centuries, is dominated by small lanes, crowded tenements, and Islamic architecture.

While they may consume small amounts of plant material, they lack the physiology required for the efficient digestion of vegetable matter and, in fact, some carnivorous mammals eat vegetation specifically as an emetic.

While he was known to call himself a " visitor to small wars ", he refrained from becoming involved in Vietnam, but is known to have done undocumented work for the Central Intelligence Agency.

While the common chimpanzee is mostly herbivorous, it does eat honey, soil, insects, birds and their eggs, and small to medium-sized mammals, including other primates.

While TT is strictly uniform ( being based on the SI second, every second is the same as every other second ), it is in practice realised by International Atomic Time ( TAI ) with an accuracy of about 1: 10 < small >< sup > 14 </ sup ></ small >.

While that national dichotomy has stymied any effort at changing the tradition of the national anthem, " America the Beautiful " continues to be held in high esteem by a large number of Americans.

While a number of interesting celestial objects are readily identified by the naked eye, sometimes with the aid of a star chart, many others are so faint or inconspicuous that technical means are necessary to locate them.

While Nicomachus ' algorithm is the same as Euclid's, when the numbers are prime to one another it yields the number " 1 " for their common measure.

While many indigenous Amazonian people say they received the instructions directly from plants and plant spirits, researchers have devised a number of alternative theories to explain its discovery.

While any combination and number of string instruments is possible in a section, a traditional string section sound is achieved with a violin-heavy balance of instruments.

While most urban and suburban transport in Bulgaria is composed of buses ( using an increasing number of CNG vehicles ), around a dozen cities also have trolley bus networks.

While the detailed particle physics mechanism responsible for inflation is not known, the basic picture makes a number of predictions that have been confirmed by observation.

While professional grading has reduced the number of counterfeits foisted upon investors and has improved buyer confidence substantially, the goal of creating a sight-unseen market for coins remains somewhat elusive.

While he supported the idea of government by an all-powerful sage, ruling as an Emperor, his ideas contained a number of elements to limit the power of rulers.

While aiding the return of nutrients in fecal matter to the soil, it can carry and spread a number of human pathogens.

While an exact number has not been determined, thousands of Canadians have purchased and used what they contend to be grey market radio and television services, licensed in the United States but not in Canada.

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 overall structure of archaeal pseudopeptidoglycan superficially resembles that of bacterial peptidoglycan, there are a number of significant chemical differences.

While clearly attributable to the presence of the opportunistic pathogens of the genus Candida, candidiasis describes a number of different disease syndromes that often differ in their causes and outcomes.

While there is not a large body of academic work examining the relationship, Hironaka's statistical study found a correlation that suggests that every major international anti-secessionist declaration increased the number of ongoing civil wars by + 10 %, or a total + 114 % from 1945 to 1997.

While the greatest number of countercult ministries are found in the USA, ministries exist in Australia, Brazil, Canada, Denmark, England, Ethiopia, Germany, Hungary, Italy, Mexico, New Zealand, Philippines, Romania, Russia, Sweden, and Ukraine.

While it is clear that the Christmas tree originates in Renaissance and early modern Germany, there are a number of speculative theories as to its ultimate origin.

While there were still a number of loud / fast songs, much of the music featured an eclectic mix of instruments including trumpets and synthesizers.

While relations between the islands have had difficulties, mainly due the huge exodus of illegal immigrants from the Dominican Republic due to the nation's history of economic woes, the islands still, with the assistance of the United States Coast Guard and the Dominican Navy have worked hard to reduce the number of Dominicans crossing the Mona Passage in recent years.

While every computable number is definable, the converse is not true: the numeric representations of the Halting problem, Chaitin's constant, the truth set of first order arithmetic, and 0 < sup >#</ sup > are examples of numbers that are definable but not computable.