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If and above
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 modernization programs are imposed from above, without the understanding and cooperation of the people, they will encounter grave difficulties.
If the bottom name in each column did not have a responsible executive identified, the next name above which identified such a responsible executive was substituted.
If the above issue is settled by requiring public education for all citizens, Issue No. 6 may be moot.
If the rake angle **yc of the knife is high enough and the friction angle **yt between the front of the knife and the back of the chip is low enough to give a positive value for Af, the resultant vector R will lie above the plane of the substrate.
If she chose, and in that final decision discarded, what, above all, all of us value, life itself, must she not have risen to her fullest height, and transcending her murky self, felt at last the passion of a great moral decision??
If the above errors be eliminated, the two astigmatic surfaces united, and a sharp image obtained with a wide aperture — there remains the necessity to correct the curvature of the image surface, especially when the image is to be received upon a plane surface, e. g. in photography.
If the ratio a '/ a be sufficiently constant, as is often the case, the above relation reduces to the condition of Airy, i. e. tan w '/ tan w = a constant.
If we look at this situation from far above, so that we cannot see the supporters, we see the large balloon as a small object animated by erratic movement.
If we wish to implement this filter as a digital filter, we can apply the bilinear transform by substituting for the formula above ; after some reworking, we get the following filter representation:
If in the above we relax Banach space to normed space the analogous structure is called a normed algebra.
If a house or car is above a certain value, the bankrupt can buy the interest back from the estate in order to keep the asset.
If the first theory is correct ( see above ), then the absence of cavalry removed the main Athenian tactical disadvantage, and the threat of being outflanked made it imperative to attack.
If the character encoding for a web page is chosen appropriately then HTML character references are usually only required for a markup delimiting characters mentioned above, and for a few special characters ( or not at all if a native Unicode encoding like UTF-8 is used ).
If we attempt to use the above formula to compute the derivative of f at zero, then we must evaluate 1 / g ′( f ( 0 )).
If f is a function of as above, then the second derivative of is:
If the ball hits the upright above the cross-bar before going through, it is not considered a dead ball, and the points are scored.
If we assume the controller C, the plant P, and the sensor F are linear and time-invariant ( i. e., elements of their transfer function C ( s ), P ( s ), and F ( s ) do not depend on time ), the systems above can be analysed using the Laplace transform on the variables.
If the density of the chain is variable then the analysis above can be adapted to produce equations for the curve given the density, or given the curve to find the density.
If a stitch in a finished crocheted item breaks, the stitches above and below remain intact, and because of the complex looping of each stitch, the stitches on either side are unlikely to come loose unless heavily stressed.
If enough magma is ejected, the emptied chamber is unable to support the weight of the volcanic edifice above it.
If the third layer is placed so that its atoms are directly above those of the first layer, the stacking will be ABA — this is the hcp structure, and it continues ABABABAB.
#: If, replace in above rules with some new variable and add rule.
If in the above example Mary had overpaid, paying £ 750 for the watch, her damages in contract would still be £ 450 ( giving him the item he contracted to buy ), however in tort damages are £ 700.

If and condition
If the argument is accepted as essentially sound up to this point, it remains for us to consider whether the patient's difficulties in orienting himself spatially and in locating objects in space with the sense of touch can be explained by his defective visual condition.
( If the condition is thought to be cellulitis rather than abscess, consideration should be given to possibility of strep species as cause that are still sensitive to traditional anti-staphylococcus agents such as dicloxacillin or cephalexin in patients able to tolerate penicillin ).
If ΔS and / or T are small, the condition ΔG < 0 may imply that ΔH < 0, which would indicate an exothermic reaction.
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 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 condition number is close to one, the matrix is well conditioned which means its inverse can be computed with good accuracy.
If the condition number is large, then the matrix is said to be ill-conditioned.
If hypertonic therapy continues or is too rapid, the extracellular tonicity will continue to drive water out of the brain's cells, leading to cellular dysfunction and the condition of central pontine myelinolysis.
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:
If the test was true, the value one is written to the least significant bit of the destination register to indicate the condition.
If his son were guilty, he would still believe him innocent, on the basis of faith in his son ; this would violate the third subjunctive condition.
If a partially ordered set does not contain any infinite descending chains, it is called well-founded or, in some case, Artinian ; it is then said to satisfy the descending chain condition.
If the condition only holds for all singleton subsets of R, then the ring is a right Rickart ring.
If I is ordered ( not simply partially ordered ) and countable, and C is the category Ab of abelian groups, the Mittag-Leffler condition is a condition on the transition morphisms f < sub > ij </ sub > that ensures the exactness of.
If the ranges of the morphisms of the inverse system of abelian groups ( A < sub > i </ sub >, f < sub > ij </ sub >) are stationary, that is, for every k there exists j ≥ k such that for all i ≥ j: one says that the system satisfies the Mittag-Leffler condition.
If a claims adjuster suspects under-insurance, the condition of average may come into play to limit the insurance company's exposure.
If sexual passion is also involved, this condition is called paraphilia.
If a subspace satisfies a stronger condition that
If " this statement is false " is denoted by A and its truth value is being sought, it is necessary to find a condition that restricts the choice of possible truth values of A.
If our freshness condition is not met, then we may simply alpha-rename with a suitably fresh variable.
* If the price is between average total cost and average variable cost at the profit-maximizing output, then the firm is said to be in a loss-minimizing condition.

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