Whereas we say X is an H-set of Z if every cover of X with open sets of Z has a finite subfamily whose Z closure contains X.

Whereas if a plan were there to be followed, a single area of code is expected to be written once.

Whereas, throughout its history, the South has relished its grits, making them a symbol of its diet, its customs, its humor, and its hospitality, and whereas, every community in the State of South Carolina used to be the site of a grits mill and every local economy in the State used to be dependent on its product ; and whereas, grits has been a part of the life of every South Carolinian of whatever race, background, gender, and income ; and whereas, grits could very well play a vital role in the future of not only this State, but also the world, if as Charleston's The Post and Courier proclaimed in 1952, " An inexpensive, simple, and thoroughly digestible food, should be made popular throughout the world.

Whereas previously it was hazardous to guess if there would be a storm or little activity, the predictions of Asher and McNaught timed bursts in activity down to ten minutes by narrowing down the clouds of particles to individual streams from each passage of the comet, and their trajectories amended by subsequent passage near planets.

It was the difficulty in using the longbow which led various monarchs of England to issue instructions encouraging their ownership and practice, including the Assize of Arms of 1252 and King Edward III's declaration of 1363: " Whereas the people of our realm, rich and poor alike, were accustomed formerly in their games to practise archery – whence by God's help, it is well known that high honour and profit came to our realm, and no small advantage to ourselves in our warlike enterprises ... that every man in the same country, if he be able-bodied, shall, upon holidays, make use, in his games, of bows and arrows ... and so learn and practise archery.

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 on other weekdays of Great Lent, no celebration of the Divine Liturgy is permitted, there is a Liturgy ( usually the Liturgy of St. John Chrysostom ) celebrated on Annunciation — even if it falls on Good Friday.

Whereas in a conventional hand drawn technical drawing, if a mistake is found, or a modification is required, a new drawing must be made from scratch.

Whereas, if some form of argumentation were given, it would result in absurdity, because inference was being used disprove its own efficacy as evidence.

Whereas a hobby-grade car has a standardized motor and separate electronic components that are individually replaceable if they fail, toy grade cars are typically made with a non-standard motor, non-replaceable chassis components and a single electronic circuit board integrated into the design of the vehicle.

Whereas, the model made in Germany wouldn't follow the heritage of company, an so wouldn't be an ' authentic ' AC branded car, much like a Ferrari wouldn't be seen as a ' genuine ' Ferrari if it were made in China.

Whereas if you have doubt, it stops you from abusing your religious belief.

Whereas she previously had supper with the family, she now began to avoid this ; and if she did eat with them, she ate quickly and very little.

Whereas Chrétien treats Lancelot as if his audience were already familiar with the character's background, most of the exploits associated with Lancelot today are first mentioned here ( e. g. Lancelot's parentage, Lancelot and the Grail, Lancelot, Guenivere and the fall of Camelot, etc.

Whereas home rule meant a constitutional movement towards a national All-Ireland parliament in part under Westminster, repeal meant the repeal of the 1801 Act of Union ( if need be, by physical force ) and the creation of an entirely independent Irish state, separated from the United Kingdom, with only a shared monarch joining them both.

' Whereas, if you sat with my colleagues, after lunch, you would just be beaten beyond recognition.

Whereas an inline skate on a center edge continues to grip the road, an ice blade on a center edge will slip if pushed sideways: it must be on an inside or outside edge if it is to " dig into " the ice.

Whereas Pakistan believed its air-superiority over army and navy against India in the war to be key achievement and future success if war continued.

Whereas willpower is the strength and ability to carryout a certain task, self-discipline is the ability to use it routinely and even automatically ( as if through reflex ).

Whereas the default rules can be modified by agreement of the parties, mandatory rules will be enforced, even if the parties to a contract attempt to override or modify them.

Whereas in his Majesty's province of Massachuset's Bay, in New England, an attempt hath lately been made to throw off the authority of the parliament of Great Britain over the said province, and an actual and avowed resistance, by open force, to the execution of certain acts of parliament, hath been suffered to take place, uncontrouled and unpunished, ...: and whereas, in the present disordered state of the said province, it is of the utmost importance ... to the reestablishment of lawful authority throughout the same, that neither the magistrates acting in support of the laws, nor any of his Majesty's subjects aiding and assisting them therein, or in the suppression of riots and tumults, ... should be discouraged from the proper discharge of their duty, by an apprehension, that in case of their being questioned for any acts done therein, they may be liable to be brought to trial for the same before persons who do not acknowledge the validity of the laws, in the execution thereof, or the of the magistrate in support of whom, such acts had been done: in order therefore to remove every such discouragement from the minds of his Majesty's subjects, and to induce them, upon all proper occasions, to exert themselves in support of the public peace of the province, and of the authority of the King and Parliament of Great Britain over the same ; be it enacted ..., That if any inquisition or indictment shall be found, or if any appeal shall be sued or preferred against any person, for murther, or other capital offense, in the province of the Massachuset's Bay, and it shall appear, by information given upon oath to the governor ... of the said province, that the fact was committed by the person against whom such inquisition or indictment shall be found, or against whom such appeal shall be sued or preferred, as aforesaid, either in the execution of his duty as a magistrate, for the suppression of riots, or in the support of the laws of revenue, or in acting in his duty as an officer of revenue, or in acting under the direction and order of any magistrate, for the suppression of riots, or for the carrying into effect the laws of revenue, or in aiding and assisting in any of the cases aforesaid ; and if it shall also appear, to the satisfaction of the said governor ... that an indifferent trial cannot be had within the said province, in that case, it shall and may be lawful for the governor ..., to direct, with the advice and consent of the council, that the inquisition, indictment, or appeal, shall be tried in some other of his Majesty's colonies, or in Great Britain ; and for that purpose, to order the person against whom such inquisition or indictment shall be found, ... to be sent, under sufficient custody, to the place appointed for his trial, or to admit such person to bail, taking a recognizance ... from such person, with sufficient sureties, ... in such sums of money as the said governor ... shall deem reasonable, for the personal appearance of such person, if the trial shall be appointed to be had in any other colony, before the governor, ... of such colony ; and if the trial shall be appointed to be had in Great Britain, then before his Majesty's court of King's Bench, at a time to be mentioned in such recognizances ; and the governor, ... or court of King's Bench, where the trial is appointed to be had in Great Britain, upon the appearance of such person, according to such recognizance, or in custody, shall either commit such person, or admit him to bail until such trial ....

Whereas the corresponding dual-ported data cache can start only two reads or writes per cycle, with multiple cycles of latency.

Whereas one liter of water is almost exactly 1 kg, one cubic meter of air is often taken as 1. 143 kg — much less accurate, but still close enough for many practical uses.

Whereas normal integration sums a function, f ( x ), over a continuous range of values of x, functional integration sums a functional, G, over a continuous range of functions, f. Most functional integrals cannot be solved exactly but must be solved using perturbation methods.

Whereas the first two steps can be scientifically exactly defined, the upper parts belong to the domain of psychology and philosophy.

Whereas Feldstein allowed his artists to draw the story in any manner they desired, Kurtzman developed detailed layouts for each story and required his artists to follow them exactly.

Whereas Feldstein allowed his artists to draw the story however they chose, Kurtzman prepared detailed layouts for each story and required his artists to follow them exactly.

Whereas film negative had numbers printed optically along the side of the film, so that every frame could be identified exactly, video tape had no such system.

Whereas a high percentage of the regular students can be expected to read other texts which more or less plow the same ground in a little different direction, the married students chose whole books on specific areas and went into much greater detail in their areas of interest.

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 the TTAPS paper described a 3000 MT counterforce attack on ICBM sites, Michael Altfed of the Michigan State University and Political Scientist Stephen Cimbala of Pennsylvania State University maintained that with the trend towards smaller more accurate warheads in the United States and Soviet Nuclear Arsenals the same counterforce attack could be conducted with 1 / 1000th of that yield.

Whereas the late King James the Second by the Assistance of diverse evill Councellors Judges and Ministers imployed by him did endeavour to subvert and extirpate the Protestant Religion and the Lawes and Liberties of this Kingdome ( list of grievances including ) ... by causing severall good Subjects being Protestants to be disarmed at the same time when Papists were both Armed and Imployed contrary to Law, ( Recital regarding the change of monarch ) ... thereupon the said Lords Spirituall and Temporall and Commons pursuant to their respective Letters and Elections being now assembled in a full and free Representative of this Nation takeing into their most serious Consideration the best meanes for attaining the Ends aforesaid Doe in the first place ( as their Auncestors in like Case have usually done ) for the Vindicating and Asserting their ancient Rights and Liberties, Declare ( list of rights including ) ... That the Subjects which are Protestants may have Arms for their Defence suitable to their Conditions and as allowed by Law.

Whereas the STAR would read and process the same memory five times to apply five vector operations on a set of data, it would be much faster to read the data into the CPU's registers once, and then apply the five operations.

Whereas a snowplough might safely be used directly down the fall line of a given hill, a Christie on the same hill would result in higher speeds, and skiing this technique normally requires the skier to turn across the fall line almost constantly.

Whereas conventional processors mostly only allow programs that specify instructions to be executed one after another, a VLIW processor allows programs that can explicitly specify instructions to be executed at the same time ( i. e. in parallel ).

Whereas a helicopter works by forcing the rotor blades through the air, pushing air downwards, the autogyro rotor blade generates lift in the same way as a glider's wing by changing the angle of the air as it moves upwards and backwards relative to the rotor blade.

Whereas the trigonometric functions in a Fourier series represent the fundamental modes of vibration in a string, the spherical harmonics represent the fundamental modes of vibration of a sphere in much the same way.

Whereas the Cuss 1 was kept in position manually, later in the same year Shell launched the drilling ship Eureka that had an analogue control system interfaced with a taut wire, making it the first true DP ship.

:" Whereas the Emperor Augustus Caesar, in the month of Sextilis, was first admitted to the consulate, and thrice entered the city in triumph, and in the same month the legions, from the Janiculum, placed themselves under his auspices, and in the same month Egypt was brought under the authority of the Roman people, and in the same month an end was put to the civil wars ; and whereas for these reasons the said month is, and has been, most fortunate to this empire, it is hereby decreed by the senate that the said month shall be called Augustus.

In modern times, opinions differ, although the principle stays the same: Whereas one would formerly engage in a Mensur to be hit, many fencing students of today will rather engage in combat in order to prove their competence by not being wounded, instead focusing on reinforcing the bond to one's brothers by sharing hope and fear.

Whereas the shop used to sell second-hand and new books side-by-side on the same shelves, it now primarily sells books in print as do other large chain bookshops, but with a considerably larger range of titles on every subject.

' Whereas, if he is telling me the same thing … I will not waste time asking him questions because I am also creatively aware why he needs them.

Whereas some games are played online against other players, management games usually pit the player against AI controlled teams in the same league.

Whereas it can be said that the same enthusiasm is not seen for social welfare.

Whereas a First Edition player was constrained to using the same dilemmas in each game of a tournament, the Second Edition player has a side deck, or ' dilemma pile ' from which to draw a random selection of dilemmas based on the number of personnel the opponent uses in a given mission attempt.

Whereas the HZDS wanted a confederation, the Czech elections on the same day were won by Civic Democratic Party, which preferred a tighter federation.