If we grasp this orientation as a key, our national conduct in all of the events here mentioned becomes intelligible.

If the coating becomes still thicker, a peeling type failure finally can occur.

If we neglect higher than first order terms in the fluctuations, the mass balance equation becomes

If the balance factor becomes 0 then the height of the subtree has decreased by one and the retracing needs to continue.

If the balance factor becomes − 2 or + 2 then the subtree is unbalanced and needs to be rotated to fix it.

If the object point O is infinitely distant, u1 and u2 are to be replaced by h1 and h2, the perpendicular heights of incidence ; the sine condition then becomes sin u ' 1 / h1 = sin u ' 2 / h2.

If the batter gets a base hit, which would have scored the runner anyway, the run now becomes earned.

* If G is a locally compact Hausdorff topological group and μ its Haar measure, then the Banach space L < sup > 1 </ sup >( G ) of all μ-integrable functions on G becomes a Banach algebra under the convolution xy ( g ) = ∫ x ( h ) y ( h < sup >− 1 </ sup > g ) dμ ( h ) for x, y in L < sup > 1 </ sup >( G ).

If we allow only quantifiers, it becomes the Co-NP-complete tautology problem.

If a suitably sized quantum computer capable of running Grover's algorithm reliably becomes available, it would reduce a 128-bit key down to 64-bit security, roughly a DES equivalent.

If a non-working point number placed, bought or laid becomes the new point as the result of a come-out, the bet is usually refunded, or can be moved to another number for free.

If is any unit vector, the projection of the curl of F onto is defined to be the limiting value of a closed line integral in a plane orthogonal to as the path used in the integral becomes infinitesimally close to the point, divided by the area enclosed.

If the core becomes sufficiently dense, electron degeneracy pressure will play a significant part in stabilizing it against gravitational collapse.

If the column load is gradually increased, a condition is reached in which the straight form of equilibrium becomes so-called neutral equilibrium, and a small lateral force will produce a deflection that does not disappear and the column remains in this slightly bent form when the lateral force is removed.

If the 15 minutes of a quarter expire while the ball is live, the quarter is extended until the ball becomes dead.

If the situation worsens it is possible that the defenses cease to function altogether and the individual becomes aware of the incongruence of their situation.

If m is greater than 1, the figure becomes larger ; if m is between 0 and 1, it becomes smaller.

If S is an arbitrary set, then the set S < sup > N </ sup > of all sequences in S becomes a complete metric space if we define the distance between the sequences ( x < sub > n </ sub >) and ( y < sub > n </ sub >) to be, where N is the smallest index for which x < sub > N </ sub > is distinct from y < sub > N </ sub >, or 0 if there is no such index.

If these two features of the language coincide too frequently, they overemphasize each other and the hexameter becomes sing-songy.

If y is a point where the vector field v ( y ) ≠ 0, then there is a change of coordinates for a region around y where the vector field becomes a series of parallel vectors of the same magnitude.

If one alters a Euclidean space so that its inner product becomes negative in one or more directions, then the result is a pseudo-Euclidean space.

If I told you my son's age, then there would no longer be two unknowns ( variables ), and the problem becomes a linear equation with just one variable, that can be solved as described above.

If we allow to incorporate the algebraic sign, this becomes a sum and implies that there is a function of state which is conserved over a complete cycle.

If this occurs, the president must dismiss the chancellor and appoint the successor requested by the Bundestag.

If the Bundestag rejects a motion of confidence, but neither a new chancellor is elected nor the Bundestag is dissolved, the president may, by request of the cabinet, declare a " legislative state of emergency ", which is quite different from a conventional state of emergency: If it is declared, during a limited period of time, bills proposed by the cabinet and designated as " urgent ", but rejected by the Bundestag, become law nonetheless, if the Bundesrat does pass them.

If the chancellor certifies that the case involves a question of doctrine, ritual or ceremonial, appeal lies to the Court for Ecclesiastical Causes Reserved.

When Yang subsequently observed the guards pillage gold and silk from merchants and the merchants ' fear causing them not to report the matter, Yang lamented, " If the rule is as troubled as this, what is a chancellor for?

`` If teeth are moved too rapidly, serious injury can be done to their roots as well as to the surrounding bone holding them in place '', explains Dr. Brodie.

When Dr. Wallace Buttrick, wise in his judgment of people, declined to have the Science Building named for him, he wrote Miss Tapley ( April 7, 1923 ) `` If you had asked me, I think I would have suggested that you name the building for Miss Upton.

If the party of Adenauer and Erhart, with 45 per cent of the vote, approaches the party of Willy Brandt, which won 36 per cent, the result would be a stiffening of the old resolve.

If, when this was all over, she found the words to tell him about it, she wondered if he would ever understand.

If the bluff failed and they ran into trouble, Brannon had told the others, they would withdraw -- and he would come after his son another time.

If someone were to drop a match in here, this place would go up like a haystack ''.

If he wondered whether the attackers would allow him to pull away unmolested, he had his answer a moment later.

If the turn was too tight, a barrel roll would bring them out.

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 ; ;

Fruit compote: `` If you think I would understand it '' ; ;

`` If you will pardon, I think it would be better if not.

If he showed signs of collecting his rifle and going back with his deputy to the ranch he would be shot down instantly.

If communications work, his decision would be instantly known in all command posts that would originate the actual go order.

If the Union conceded this to them, the same right must be conceded to each remaining state whenever it saw fit to secede: This would destroy the federal balance between it and the states, and in the end sacrifice to the sovereignty of the states all the liberty the citizens had gained by their Union.

If an automobile were approaching him, he would know what was required of him, even though he might not be able to act quickly enough.

If life and death did not both present themselves to us, there would be no inscrutability.

If there were only darkness, all would be clear.

If there were only the mess, all would be clear ; ;

If any had escaped expulsion by hiding, they certainly would not frequent the market-place.

If a child had a single drop of Negro blood, he would revert to the ancestral line which, except as slaves under a superior race, had not made one step of progress in 3,000 years.

If he had been `` liquidated '' in some way, he would have become a martyr, a rallying point for people who shared his ideas.

If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.

Defoe then commented, `` If they Could Draw that young Gentleman into Their Measures They would show themselves quickly, for they are not asham'd to Say They want only a head to Make a beginning ''.

If she were not at home, Mama would see to it that a fresh white rose was there.

If the Stearns were not there, grace would be omitted.