If you have a house which heat doesn't penetrate easily, your unit will have less heat to remove.

If Af is the change per unit volume in Gibbs function caused by the shear field at constant P and T, and **yr is the density of the fluid, then the total potential energy of the system above the reference height is Af.

If the retailer and hotelman's downtown unit sales have been decreasing, however, his dollar volume continues to rise, and it is dollars which you put in the bank.

* Corollary If X is a Banach space, then X is reflexive if and only if X ′ is reflexive, which is the case if and only if its unit ball is compact in the weak topology.

* Indivisibility of certain goods: If a person wants to buy a certain amount of another's goods, but only has for payment one indivisible unit of another good which is worth more than what the person wants to obtain, a barter transaction cannot occur.

If a Banach algebra has unit 1, then 1 cannot be a commutator ; i. e., for any x, y ∈ A.

If, for instance, an addition operation was requested, the arithmetic logic unit ( ALU ) will be connected to a set of inputs and a set of outputs.

If a player bets 1 unit on red, his chance of winning 1 unit is therefore 18 / 38 and his chance of losing 1 unit ( or winning-1 ) is 20 / 38.

If one chooses an infinite number of distinct points in the unit interval, then there must be some accumulation point in that interval.

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 is an outward pointing in-plane normal, whereas is the unit vector perpendicular to the plane ( see caption at right ), then the orientation of C is chosen so that a tangent vector to C is positively oriented if and only if forms a positively oriented basis for R < sup > 3 </ sup > ( right-hand rule ).

If the weight of the roadway per unit length is w and the weight of the cable and the wire supporting the bridge is negligible in comparison, then the weight on the cable from c to r is wx where x is the horizontal distance between c to r. Proceeding as before gives the differential equation

If one member ran away or married into another household or died, the rest of family continued to be responsible for the tax obligation of the family unit.

If measured instead per unit wavelength, using Wien's law, the peak is at 1. 06 mm corresponding to a frequency of 283 GHz.

If there is more than one allograph of a unit of writing, and the choice between them depends on context or on the preference of the author, they now have to be treated as separate glyphs, because mechanical arrangements have to be available to differentiate between them and to print whichever of them is required.

If testing showed that the central processing unit was working but the FPU was defective, the FPU's power and bus connections were destroyed with a laser and the chip was sold cheaper as an SX ; if the FPU worked it was sold as a DX.

If the monopolist practiced price discrimination he would sell the first unit for $ 50 the second unit for $ 40 and so on.

If the firm lowers price P < MC then it will be losing money on every unit sold.

: If the temperature T of a body is quantified as 300 kelvin ( in which T is the quantity symbol, 300 the value, and K is the unit ), this is written

: If a person weighs 120 pounds, then " 120 " is the numerical value and " pound " is the unit.

If the number of photons being amplified per unit time is greater than the number of photons being absorbed, then the net result is a continuously increasing number of photons being produced ; the laser medium is said to have a gain of greater than unity.

If the original rhombicuboctahedron has unit edge length, its dual strombic icositetrahedron has edge lengths

If he had married her, he'd have been asking for trouble.

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

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 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.

If you had screamed right there in the street where we stood, I could not have felt more fear.

If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If Hammarskjold had not wanted the list disposed of in this manner, and if Bang-Jensen had not wanted it -- who had ordered it??

If Gorton wanted peace and quiet for his complicated meditations this is where he should have had it.

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 this capacity had not failed them, they would see that their enemy has made a disastrous miscalculation.

If he had had a son, he would tell him, `` Gather ye rosebuds while ye may This same flower that smiles today tomorrow will be dying ''.

If he had any worries, it was only the small ones, about Mother in New York, and his daughter Edwina and what she might be doing at this hour, with her Aunt Asia, in Philadelphia.

If we had, then one of us would have had to go instead.

If he had income other than wages subject to withholding, he may be required to file Form 1040.

If our SAC bombers were, today, capable of surviving a surprise missile attack and because of infinite dispersion or long endurance had the capability to strike at Russia again, and again, and again, those bombers would unquestionably assure our military dominance.