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Page "Partial differential equation" ¶ 137
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If and over
If, when this was all over, she found the words to tell him about it, she wondered if he would ever understand.
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 we go all gooey over this newest Castro ( until he proves he isn't ) we've got rocks in our heads.
If the plants are cared for and protected over the winter, the second year is more prolific than the first.
If you travel over the vast U.S.A. you will, no doubt, discover that feeding is an expensive business.
If a nation wished to get a head start in physical fitness over all other nations, it would start its kindergarten students on a program of gymnastics the day they entered and thus eliminate a large number of the problems that plague American schools.
If it is possible for an enemy to put an atomic bomb on a city, it should be equally possible to put a cloud of biological agent over that city.
If Mrs. Black was who he thought she was, Mr. Black's Peerless selling days might well be over.
If the character flying that thing had gone over San Clemente Island yesterday he would have had an eyeful.
If a man lived a classical life, he need not fear the spirits -- for only lack of virtue gave the spirits power over him.
Thereupon Hwang Pah said: `` If I knew thou art an Arhat, I would have doubled you up before thou got over there ''!!
If you need a Day off to calm down, duck over to the Muslim Paradise and take it.
If there is a substantial difference between characters ' ranks, the conflict is generally over before the weaker character can react.
If there is much current, or the vessel is moving while dropping the anchor, it may " kite " or " skate " over the bottom due to the large fluke area acting as a sail or wing.
If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.
If the sick person wishes to receive the sacrament of penance, it is preferable that the priest make himself available for this during a previous visit ; but if the sick person must confess during the celebration of the sacrament of anointing, this confession replaces the penitential rite A passage of Scripture is read, and the priest may give a brief explanation of the reading, a short litany is said, and the priest lays his hands on the head of the sick person and then says a prayer of thanksgiving over the already blessed oil or, if necessary, blesses the oil himself.
If there is refraction at a collective spherical surface, or through a thin positive lens, O ' 2 will lie in front of O ' 1 so long as the angle u2 is greater than u1 ( under correction ); and conversely with a dispersive surface or lenses ( over correction ).
But the saint would laugh at them scornfully and say, " If any of you have any authority over me, only one would have been sufficient to fight me.
If X and Y are Banach spaces over the same ground field K, the set of all continuous K-linear maps T: X → Y is denoted by B ( X, Y ).
Marlborough wrote to Lord Raby, the English resident at Berlin: " If it should please God to give us victory over the enemy, the Allies will be little obliged to the King for the success.
If a king held sway over a large kingdom, such as when the Mercians dominated the East Anglians, the relationship would have been more equal than in the case the Mercian dominance of the Hwicce, which was a comparatively small kingdom.
If players cannot move either die in a roll, given the position of their checkers then that turn is over and the turn passes to the opponent.
" If this refers to Mordecai, he would have had to live over a century to have witnessed the events described in the Book of Esther.
If the resistant pest is feeding in the non-Bt corn nearby, the resistance is neutral and offers no advantage to the pest over any nonresistant pest.

If and region
If the intruder persisted, a biting lunge was usually launched at either the tail region or the naso-labial grooves.
* 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 air is heated in a region it will expand in all directions such that the velocity field points outward from that region.
If the air cools and contracts, the divergence is negative and the region is called a sink.
If the partition is removed, some molecules of A move towards the region occupied by B, their number depends on the number of molecules at the point considered.
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 this were true, damage to the homologous region of Broca's area in the right hemisphere should cause aphasia in a left-handed individual.
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 there is a grain of historical truth behind these legends, it may be that Suizei's bare narrative points to one of the chieftains of four clans of the Unebi region who disputed among themselves in the struggle to achieve hegemeony in the Yamato area.
If the depletion region expands to completely close the channel, the resistance of the channel from source to drain becomes large, and the FET is effectively turned off like a switch.
If a streamtube becomes narrower, the flow speed must increase in the narrower region to maintain the constant flow rate.
If the base current to the transistor is assumed to be zero, the negative feedback forces the transistor to increase its collector-emitter voltage up to 1 V until its base-emitter voltage reaches 0. 625 V ( a typical value for a BJT in the active region ).
If the piston is slowly lowered, the system will trace a curve of increasing temperature and pressure within the gas region of the phase diagram.
If the beam enters the sample perpendicular to the surface, then the activated region is uniform about the axis of the beam and a certain number of electrons " escape " from within the sample.
If the matrix is positive semidefinite matrix, then is a convex function: In this case the quadratic program has a global minimizer if there exists some feasible vector ( satisfying the constraints ) and if is bounded below on the feasible region.
" If in Paris ", Rogers says, " we are in a man-made region where even the seasons are forgotten, these provincial towns are nearly always pictured in their natural setting.
If the absorption occurs in the junction's depletion region, or one diffusion length away from it, these carriers are swept from the junction by the built-in field of the depletion region.
If the surface encloses a 3D region, usually the surface is oriented such that the influx is counted positive ; the opposite is the outflux.
If the container contains particles of different sizes, the downward-moving region at the sides is often narrower than the largest particles.
If the Maritime Alps, along the border with Italy, are considered part of Provence, they are the highest peaks in the region ( the Punta dell ' Argentera has an elevation of 3, 297 m ).
If the string is stretched between two points where x = 0 and x = L and u denotes the amplitude of the displacement of the string, then u satisfies the one-dimensional wave equation in the region where 0 < x < L and t is unlimited.

1.030 seconds.