While there should be no general age limit or restriction to one sex, there will be particular projects requiring special maturity and some open only to men or to women.

While this may well be true in general, I believe it is also important to keep in mind that some recent developments suggest that over the next year or so military electronics may be one of the most strongly growing areas in an economy which is not expanding rapidly in other directions.

While it had long been known in general, that `` the public is always wrong '', the use of odd-lot indices now puts the adage on a statistical basis.

While this influence is a complex matter, depending upon personality factors in the individual as well as upon his social-class experience, there probably are some general statements about social-class background and educational policy that can be made with a fair degree of truth.

While each scene has its own character and completeness it must fit into the general sequence to which it belongs.

While there is general agreement on these six families, there are some points of disagreement among linguists who study Afroasiatic.

While the Ural – Altaic hypothesis can still be found in encyclopedias, atlases, and similar general references, it has not had any adherents in the linguistics community for decades.

While Kierkegaard's feeling of angst is fear of actual responsibility to God, in modern use, angst was broadened by the later existentialists to include general frustration associated with the conflict between actual responsibilities to self, one's principles, and others ( possibly including God ).

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 the greatest players of the time, among them Alekhine, Emanuel Lasker and Capablanca, clearly did not allow their play to be hobbled by blind adherence to general concepts that the center had to be controlled by pawns, that development had to happen in support of this control, that rooks always belong on open files, that wing openings were unsound — core ideas of Tarrasch's chess philosophy as popularly understood — beginners were taught to think of these generalizations as unalterable principles.

While Athanasius may have affected the general perception of Arianism, they say, his portrayal was polemical, not creative.

While Disraeli's government survived until the December general election, the initiative had passed to the Liberals, who were returned to power with a majority of 170.

While Allied Air Forces were tied to the support of the Army, the Luftwaffe deployed its resources in a more general, operational way.

While the complexity, size, construction, and general form of CPUs have changed enormously since 1950, it is notable that the basic design and function has not changed much at all.

While special relativity constrains objects in the universe from moving faster with respect to one another than the speed of light, there is no such constraint in general relativity.

While this prohibition remained in force in general throughout the middle and early modern ages, this is no longer the case and Western women are often seen wearing trousers, ties, and men's hats.

While all these conditions are equivalent for metric spaces, in general we have the following implications:

Egypt's capital was permanently moved to Cairo, which was eventually expanded to include the ruins of Fustat and the previous capitals of al-Askar and al-Qatta ' i. While the Fustat fire successfully protected the city of Cairo, a continuing power struggle between Shawar, King Amalric I of Jerusalem, and Zengid general Shirkuh led to the downfall of the Fatimid establishment.

While serving in this capacity, he was selected for promotion to brigadier general in November 1988.

While individual equations present a kind of puzzle and have been considered throughout history, the formulation of general theories of Diophantine equations ( beyond the theory of quadratic forms ) was an achievement of the twentieth century.

While Heman remained in Salisbury, where he ran a general store until his death in 1778, Ethan's movements over the next few years are poorly documented.

While, in general, word comprehension is preserved, meaning interpretation dependent on syntax and phrase structure is substantially impaired.

While general relativity replaces the scalar gravitational potential of classical physics by a symmetric rank-two tensor, the latter reduces to the former in certain limiting cases.

While the real values of the specific economic items generally stay the same in terms of relatively stable foreign currencies, in hyperinflationary conditions the general price level within a specific economy increases rapidly as the functional or internal currency, as opposed to a foreign currency.

While the Jewish population had received strict orders requiring them to hold their ground everywhere at all costs, the Arab population was more affected by the general conditions of insecurity to which the country was exposed.

While this aspect is similar to Scotch and Irish whisky regulations, it contrasts with the maximum alcoholic proof limits on distillation ( 80 % abv ) and aging ( 62. 5 % abv ) purity allowed in the production of straight whiskey in the U. S. All spirits used in making a Canadian whisky must be aged for at least three years in wooden barrels of not greater than 700 L capacity ( a requirement similar to that for Scotch and Irish whisky and longer than for American straight whisky ).

While other knowledge could be a figment of imagination, deception or mistake, the very act of doubting one's own existence serves to some people as proof of the reality of one's own existence, or at least that of one's thought.

While anecdotal accounts do not provide scientific proof of clairvoyance, such common experiences continue to motivate research into such phenomena.

While it is one of the most commonly used concepts in logic it must not be mistaken for a logical law ; rather, it is one of the accepted mechanisms for the construction of deductive proofs that includes the " rule of definition " and the " rule of substitution " Modus ponens allows one to eliminate a conditional statement from a logical proof or argument ( the antecedents ) and thereby not carry these antecedents forward in an ever-lengthening string of symbols ; for this reason modus ponens is sometimes called the rule of detachment.

While these results demonstrate that the poor performance of systems based on first-generation microkernels is not representative for second-generation kernels such as L4, this constitutes no proof that microkernel-based systems can be built with good performance.

While the original proofs of Hadamard and de la Vallée-Poussin are long and elaborate, and later proofs have introduced various simplifications through the use of Tauberian theorems but remained difficult to digest, a surprisingly short proof was discovered in 1980 by American mathematician Donald J. Newman.

While there is no concrete proof of the existence of gravitons, quantized theories of matter may necessitate their existence.

While the proof that is a Noetherian ring uses the order structure of, typical proofs in ring theory in general do not assume such additional structure on the ring.

While most traditional Christians deny that the ritual laws and specific civil laws of the Pentateuch apply to gentiles, certain passages regarding Torah observance in the New Testament are cited by Messianic believers as proof that Torah was not abolished for Jews.

While it had long been known that the Earth rotated, the introduction of the Foucault pendulum in 1851 was the first simple proof of the rotation in an easy-to-see experiment.

While in his cell, Hugh persuades his old friend Alan Mahoney to enlist Joe-Jim's gang in rescuing him ; and sometime after having been rescued, reveals the proof of his assertions to Bill and Alan.

While Taliesin certainly outlived Owain, as demonstrated by a lament he composed for Owain's death, there is no proof that he survived Urien.

While there apparently is not written proof of this specific event, Father Hennepin did write in his journals about the fruit orchards and wild animals on Grosse Ile, so historians assume that, at the very least, he explored the island first-hand.

" While " there is no proof that twelve-step programs ' are superior to any other intervention in reducing alcohol dependence or alcohol-related problems '," at the same time it is clear that " there is something about ' groupishness ' itself which is curative.

While Cauchy felt that the assumption was minor, most historians believe that the proof was not complete until Abel proved this assumption.

While Euclid was the originator of what we now understand as the published geometric proof, Pythagoras created a closed community and suppressed results ; he is even said to have drowned a student in a barrel for revealing the existence of irrational numbers.

While there is no direct proof of an original solar meaning of Janus, this being the issue of learned speculations of the Roman erudits initiated into the mysteries and of emperors as Domitian, the derivation from a Syrian cosmogonic deity proposed by P. Grimal looks more acceptable.

While the essay was under consideration, Gödel's " On formally undecidable sentences of Principia Mathematica and related systems I " announced the impossibility of formalizing within a theory that theory's consistency proof.

While this provides a valid proof ( for matrices over the complex numbers ), the argument is not very satisfactory, since the identities represented by the theorem do not in any way depend on the nature of the matrix ( diagonalizable or not ), nor on the kind of entries allowed ( for matrices with real entries the diagonizable ones do not form a dense set, and it seems strange one would have to consider complex matrices to see that the Cayley – Hamilton theorem holds for them ).

While Colin Powell's statement to the UN may have been accepted as " proof " by many in the US, this was not the case in Europe, where there was widespread scepticism of any links between Iraq and al-Qaeda.

While an SM-3 missile would require significant modification to fill an anti-satellite role, the test was a proof of concept, demonstrating that it can operate in such a role if required.

While the Mizar proof checker remains proprietary, the Mizar Mathematical Library – the sizable body of formalized mathematics that it verified – is licensed open-source.

While predictions are necessarily about the future ( at least in relation to the time the prediction was made ), the nature of this future can be subtle ( e. g., " I predict that he died a week ago "— the prediction is about future discovery or proof of the date of death, not about the death itself ).