Whereas arithmetic deals with specific numbers and operators ( e. g. 3 + 2 = 5 ), algebra introduces variables, which are letters that represent non-specified numbers ( e. g. 3a + 2a = 5a ).

Whereas chains of other infixed symbols ( e. g. 3 + 4 + 5 + 6 + 7 ) can often be considered in fragments ( e. g. ( 3 + 4 ) + 5 + ( 6 + 7 )) without a change of meaning ( see associativity ), or at least can be evaluated step by step in a prescribed order, e. g. 2 < sup > 3 < sup > 4 </ sup ></ sup > from right to left, that is not so with Conway's arrow.

Whereas RADIUS combines authentication and authorization in a user profile, TACACS + separates the two operations.

Whereas the TI-83 + can only hold a maximum of 10 apps ( or more often less, dependent on size ), the Silver Edition can hold over 9 times as many.

Whereas a university has relatively little liability to bear when dealing with 18 + yr old adults, LSMSA must contend with a student body mainly of minors.

Whereas the wavelet transform is based on wavelets of the form g ( ax + b ), the p-type chirplet transform is based on chirplets of the form g (( ax + b )/( cx + 1 )), where a is the scale, b is the translation, and c is the chirpiness ( chirp-rate, as defined by the degree of perspective, or projection ).

Whereas Faulkner had topped the poll in South Down in 1973 with over 16, 000 votes he polled just 6035 votes in 1975 and finished seventh, winning the final seat.

Whereas the thermodynamic terms " exothermic " and " endothermic " respectively refer to processes that give out heat energy and processes that absorb heat energy, in biology the sense is effectively inverted.

Whereas the thermodynamic terms " exothermic " and " endothermic " respectively refer to processes that give out heat energy and processes that absorb heat energy, in biology the sense is effectively inverted.

Whereas the " higher " law Aristotle suggested one could appeal to was emphatically natural, in contradistinction to being the result of divine positive legislation, the Stoic natural law was indifferent to the divine or natural source of the law: the Stoics asserted the existence of a rational and purposeful order to the universe ( a divine or eternal law ), and the means by which a rational being lived in accordance with this order was the natural law, which spelled out action that accorded with virtue.

Whereas engineers were used to thinking of air flowing smoothly around the body of the aircraft, at high speeds it simply did not have time to " get out of the way ", and instead started to flow as if it were rigid pipes of flow, a concept Busemann referred to as " streampipes ", as opposed to streamlines, and jokingly suggested that engineers had to consider themselves " pipefitters ".

Whereas encryption usually refers to operations carried out in the digital domain, scrambling usually refers to operations carried out in the analog domain.

Whereas in the past printmakers put their plates in and out of acid baths with their bare hands, today printmakers use rubber gloves.

Whereas prior to the 1950s most cooking started out with raw ingredients and a meal had to be prepared from scratch, the advent of frozen meals and pre-prepared convenience food changed the cooking habits of many people, who consequently used the kitchen less and less.

Whereas standard French uses the verbs " monter " and " descendre " to get in and out of an automobile, Québécois tend to use " embarquer " and " débarquer ", relics from their navigational heritage.

Whereas, sociology was founded upon various historic works, which purposefully set out to distinguish the subject as distinct from philosophy or psychology.

Whereas Napster could be ( and was ) shut off just by turning off the centralized index servers owned by Napster, gnutella did not rely on any centralized servers to find out what users had what content, so once a gnutella network was created, it could not be shut off.

Whereas low spatial frequencies ( the ' fuzzier ' parts ) are attenuated, higher spatial frequencies ( an image's fine details ) which would otherwise be blurred out by the eye movement remain unaffected.

Whereas I ’ d come home and practise my sheet music, he ’ d already be banging out his own stuff.

" Whereas, there is a certaine parcel of land situated on the West side of Delaware Bay the which hath been certified by the Court at the Horekill and laide out for William Burton the saide Land being called the Long Neck lying on the South side of Rehoboth Bay and on the North side of the Greate River beginning at a point of woods and running West up the Greate River one thousand perches to a White Oak at the head of a small creek called Indian Cabin Creek and from thence North three hundred and fifty perches to a White Oak standing by a creek side called Middle Creek with a line of marked trees and from thence bounder upon the aforesaid Bay to the first bounded point Southeast one thousand perches containing One Thousand Acres of Land.

Whereas chess opening theory changes frequently, giving way to middlegame positions that fall in and out of popularity, endgame theory always remains constant.

Whereas Harcourt's first two years in government were characterized by a notably social democratic policy agenda, the government took a dramatic turn to the right in 1993 with Harcourt's famous province-wide televised address in which he lashed out against " welfare cheats, deadbeats and varmints ".

Whereas Trials unicycles usually have longer cranks that are better for hopping, as the rider has better control of the rotation of the wheel, and can therefore keep the unicycle from slipping out from under him.

Whereas SQL retrieves data sets from a relational database ( RDBMS ), with dBase one can more easily manipulate, format, analyze and perform calculations on individual records, strings, numbers, and so on in a step-by-step imperative ( procedural ) way instead of trying to figure out how to use SQL's declarative operations.

Whereas Durrell often claimed to find writing a chore, this book was different: his first wife Jacquie recalled " Never have I known Gerry work as he did then ; it seemed to pour out of him ".

Whereas free glucose can easily diffuse in and out of the cell, the phosphorylated form ( glucose-6-phosphate ) is locked in the cell, a mechanism by which intracellular glucose levels are controlled by cells.

Whereas Nagielski notes that the Czarniecki family was not well off, which limited some of Stefan's life chances, Podhorecki points out that they owned several villages and even a small town, and the family wealth was " not small ".

Whereas Grampian had previously restricted its output to news and current affairs beforehand, production controller James Buchan decided to go for broke and branch out to produce light entertainment and music shows ( originally, at the rate of four programmes a week )-such output would remain a staple of the station's local output for the next forty years or so.

Whereas the thermodynamic terms " exothermic " and " endothermic " respectively refer to processes that give out heat energy and processes that absorb heat energy, in biology the sense is effectively inverted.

Whereas the thermodynamic terms " exothermic " and " endothermic " respectively refer to processes that give out heat energy and processes that absorb heat energy, in biology the sense is effectively inverted.

`` Whereas, a Bridge over Merrimack River, from the Land of Hon'ble Jonathan Greenleaf, Esquire, in Newbery, to Deer Island, and from said Island to Salisbury, would be of very extensive utility, by affording a safe Conveyance to Carriages, Teams and Travellers at all seasons of the year, and at all Times of Tide.

Whereas the usual organic surface-active agent is strongly sorbed at oil - water interfaces, the highly charged ions are most strongly sorbed at interfaces between water and insoluble materials exhibiting an ionic structure ( see Table 26-2 on p. 1678 ).

Whereas the earlier cases turned rather narrowly upon the availability of adequate state remedies, the new emphasis is upon the nature of the state policy at issue.

Whereas Bultmann's `` center '' position is structurally inconsistent and is therefore indefensible on formal grounds alone, the general position of the `` right '', as represented, say, by Karl Barth, involves the rejection or at least qualification of the demand for demythologization and so is invalidated on the material grounds we have just considered.

Whereas the philosophical approach to consciousness focuses on its fundamental nature and its contents, the medical approach focuses on the amount of consciousness a person has: in medicine, consciousness is assessed as a " level " ranging from coma and brain death at the low end, to full alertness and purposeful responsiveness at the high end.

Whereas it is paramagnetic at ambient conditions, it becomes antiferromagnetic upon cooling, and other magnetic transitions are also observed for many curium compounds.

Whereas stories at this time in Coronation Street were largely about family affairs, Brookside concentrated on social affairs such as industrial action, unemployment and the black market.

Whereas the written Torah has a fixed form, the Oral Torah is a living tradition that includes not only specific supplements to the written Torah ( for instance, what is the proper manner of shechita and what is meant by " Frontlets " in the Shema ), but also procedures for understanding and talking about the written Torah ( thus, the Oral Torah revealed at Sinai includes debates among rabbis who lived long after Moses ).

Whereas several figures common to English Country Dance, e. g. arming and the straight hey, are found in the traditional dances and display dances such as morris, ECD's origins rest among the gentry, first at court, then spreading to bourgeois-London, finally moving into country manors around England.

Whereas in May and June 2005 victory of the Christian Democrats seemed highly likely, with some polls giving them an absolute majority, this picture changed shortly before the election at 18 September 2005.

Whereas his references to Judah are of a general kind, Ephraim or Samaria being sometimes mentioned in the same connection or more frequently alone, the situation implied throughout and the whole tone of the addresses agree with what we know of the Northern Kingdom at the time, and his references to places and events in that kingdom are so numerous and minute as to lead to the conclusion that he not only prophesied there, but that he was a native of that part of the country.

Whereas insurance markets have become centralized nationally and internationally, state insurance commissioners operate individually, though at times in concert through the National Association of Insurance Commissioners.

Whereas Arthur is very much at the centre of the pre-Galfridian material and Geoffrey's Historia itself, in the romances he is rapidly sidelined.

Whereas Durkheim focused on the society, Weber concentrated on the individuals and their actions ( see structure and action discussion ) and whereas Marx argued for the primacy of the material world over the world of ideas, Weber valued ideas as motivating actions of individuals, at least in the big picture.

Whereas MVC comes from the previous decade ( by work at Xerox PARC in the late 1970s and early 1980s ) and is based on observations of applications that ran on a single graphical workstation ; MVC was applied to distributed applications later in its history ( see Model 2 ).

Whereas Dante Gabriel Rossetti, in his own commentary compares the Minotaur with all three sins of violence within the seventh circle: " The Minotaur, who is situated at the rim of the tripartite circle, fed, according to the poem was biting himself ( violence against oneself ) and was conceived in the ' false cow ' ( violence against nature, daughter of God ).

Whereas most small molecule solutions exhibit only an upper critical solution temperature phase transition, at which phase separation occurs with cooling, polymer mixtures commonly exhibit a lower critical solution temperature phase transition, at which phase separation occurs with heating.

Whereas the previous five Rush albums sold platinum or better, Hold Your Fire only went gold in November 1987, although it managed to peak at number 13 on the Billboard 200.

Whereas a 1 cm < sup > 3 </ sup > of sample pure germanium at 20 ° C, contains about 4. 2 × 10 < sup > 22 </ sup > atoms but only 2. 5 × 10 < sup > 13 </ sup > free electrons and 2. 5 × 10 < sup > 13 </ sup > holes.

Whereas some venerated him for his aggressive stance against Israel, including firing missiles at Israeli targets, he was widely condemned for the brutality of his dictatorship.