If art is to release us from these postulated things ( things we must think symbolically about ) and bring us back to the ineffable beauty and richness of the aesthetic component of reality in its immediacy, it must sever its connection with these common sense entities ''.

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

If an alpha channel is used in an image, it is common to also multiply the color by the alpha value, to save on additional multiplications during compositing.

Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.

If c is another common divisor of a and b, then c also divides as + bt

If communities are developed based on something they share in common, whether that be location or values, then one challenge for developing communities is how to incorporate individuality and differences.

If it does not then it adopts a " common position " and submits that new version to the Parliament.

If certain coordinate systems are used, for instance, polar-toroidal coordinates ( common in plasma physics ) using the notation ∇ × F will yield an incorrect result.

If the desired user's code has nothing in common with the signal the correlation should be as close to zero as possible ( thus eliminating the signal ); this is referred to as cross correlation.

If an epidemic of cholera is suspected, the most common causative agent is V. cholerae O1.

If the coordinates represent spatial positions ( displacements ), it is common to represent the vector from the origin to the point of interest as.

If two triangles do not meet the Delaunay condition, switching the common edge BD for the common edge AC produces two triangles that do meet the Delaunay condition:

Linear Diophantine equations take the form ax + by = c. If c is the greatest common divisor of a and b then this is Bézout's identity, and the equation has an infinite number of solutions.

It follows that there are also infinitely many solutions if c is a multiple of the greatest common divisor of a and b. If c is not a multiple of the greatest common divisor of a and b, then the Diophantine equation ax + by = c has no solutions.

If both copies are damaged, the Purkinje layer ( a part of the cerebellum that contains better-connected neurons than any other ) develops abnormally, runting is more common, and pups die within weeks due to inadequate lung development.

If, as is most common, this flow is carried by electrons, they will be travelling in the opposite direction.

If a second party from a region wants to join the first party needs to agree, these two parties will then form a common delegation with one vote.

If we reduce the larger number by subtracting the smaller one from it, the greatest common divisor does not change.

If two numbers have no prime factors in common, their greatest common divisor is 1 ( obtained here as an instance of the empty product ), in other words they are coprime.

If Language A borrowed a word from Language B, or both borrowed the word from a third language or inherited it from a common ancestor, and later the word shifted in meaning or acquired additional meanings in at least one of these languages, a native speaker of one language will face a false friend when learning the other.

If at least 50 cars had been built, sportscars like the GT40 and the Lola T70 were allowed, with a maximum of 5. 0 L. John Wyer's revised 4. 7 litre ( Bored to 4. 9 litres, and o-rings cut and installed between the deck and head to prevent head gasket failure, a common problem found with the 4. 7 engine.

If a and b are not both zero, the greatest common divisor of a and b can be computed by using least common multiple ( lcm ) of a and b:

If a night owl and mortal dared to respond to the awful voice of Mala Vision with another cry, this immediately, no runs, but goes to his answering machine, if the passer again answer his cry a second time, she approaches her screaming, and if the traveler repeated a third time answering the same cry, the spirit of the evening is zigzag, devours the victim's skull with his teeth and sucks your brain, which it feeds.

If the ofunlo ( screech owl ) was heard, it was a sign that a child under seven in that family was going to die, because in size, it is a small owl.

If another stuffed owl is introduced ( or the same one removed and re-introduced ), the birds react to it again as though it were a predator, demonstrating that it is only a very specific stimulus that is habituated to ( namely, one particular unmoving owl in one place ).

If everything has been correctly prepared, the owl colony will move over to the new site in the course of a few nights at most.

If the scops and screech owl clade indeed originated in the Old World, the Flammulated Owl's ancestors either colonized the Americas independently from but at about the same time and from much the same stock as the screech owls ', or they diverged immediately after the latter had settled in the New World.

If he perched there late at night, the news would come before morning.

If a perched aquifer's flow intersects the Earth's dry surface, at a valley wall for example, the water is discharged as a spring.

If landed correctly, the front wheel will lay parallel to the ground and the right handlebar grip will be balancing on the ground leaving the rider perched above the rear wheel.

If the wipe proceeds from two opposite edges of the screen toward the center or vice versa, it is known as a barn door wipe ( named for its similarity to a pair of doors opening or closing ).

If the tomte was not given his payment, he would leave the farm or house, or engage in mischief such as tying the cows ' tails together in the barn, turning objects upside-down, and breaking things ( like a troll ).

If, for example, the disseisor builds a barn on the owner's property, and the owner then uses the barn, the disseisor cannot claim exclusive use.

If ye barn Auchindoun, Huntly he will heid ye

If a barn is burned, then the victim ’ s house and property is plundered, after the damage is repaid, and for the rest he ’ ll be a serf to the knyaz ; same for burning of houses.

If the animal is far from the barn, it is best to trailer him back rather than move him.

He said: `` If it's all right with you, Mr. Morgan, I'll sleep out here on the couch.

If she sensed any unusual preoccupation on the part of her mother, she did not comment upon it.

If he spun out now, he would join his opponent on the ground.

If it were not for an old professor who made me read the classics I would have been stymied on what to do, and now I understand why they are classics ; ;

`` If you want to see something, he's back on the other side by the trunk of the car ''.

If the man on the sidewalk is surprised at this question, it has served as an exclamation.

If `` Jack the Courtier '' is really to be taken as Swift, the following remark is obviously Steele's comment on Swift's change of parties and its effect on their friendship: `` I assure you, dear Jack, when I first found out such an Allay in you, as makes you of so malleable a Constitution, that you may be worked into any Form an Artificer pleases, I foresaw I should not enjoy your Favour much longer ''.

If his circumspection in regard to Philip's sensibilities went so far that he even refused to grant a dispensation for the marriage of Amadee's daughter, Agnes, to the son of the dauphin of Vienne -- a truly peacemaking move according to thirteenth-century ideas, for Savoy and Dauphine were as usual fighting on opposite sides -- for fear that he might seem to be favoring the anti-French coalition, he would certainly never take the far more drastic step of ordering the return of Gascony to Edward, even though, as he admitted to the English ambassadors, he had been advised that the original cession was invalid.

If it proclaims that the best is yet to be, it always arouses, at least in the young, either a suspicious question or perhaps the exclamation of the Negro youth who saw on a tombstone the inscription, `` I am not dead but sleeping ''.

If the would-be joiner asks these questions he is not likely to be duped by extremists who are seeking to capitalize on the confusions and the patriotic apprehensions of Americans in a troubled time.

If the decision goes wrong, it may be -- as Mr. Stevenson fears -- `` the first step on the slippery path downhill '' to a U.N. without operational responsibilities and without effective meaning.

If you're lyin' out in the hammock at night, and it gets kinda cool -- you know -- you just take these sides with the fringe on -- see -- and wrap 'em right over you.

If the record buyer's tastes are somewhat eclectic or even the slightest bit esoteric, he will find them satisfied on educational records.

If it will simply delay the debates until the qualifications are closed next spring, and then carry all the candidates on a tour of debates, it can provide a service to the state.

Mr. Richard Preston, executive director of the New Hampshire State Planning and Development Commission, in his remarks to the Governors Conference on Industrial Development at Providence on October 8, 1960, warned against the fallacy of attempting to attract industry solely to reduce the tax rate or to underwrite municipal services such as schools when he said: `` If this is the fundamental reason for a community's interest or if this is the basic approach, success if any will be difficult to obtain ''.

`` If the day should ever come that foreign invaders swarm ashore along the Gulf Coast '', the account reads, `` they can count on heavy opposition from a group of commando-trained telephone employees -- all girls.

If we make it established custom that whenever butchery on the highways grows excessive, say beyond 25,000 per annum, then somebody is going to hang, it follows that the more eminent the victim, the more impressive the lesson.

If it comes down too hard on the potential dangers of fallout, it will box the President on resuming atmospheric tests.

`` If William agrees, we should insist on a public debate '', he said at length.

If you want to fight, go down on the sidewalk ''.

If there is anything which we can do in the executive branch of the Government to speed up the processes by which we come to decisions on matters on which we must act promptly, that in itself would be a major contribution to the conduct of our affairs.