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 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 above condition is instead satisfied for

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 no errors and no passed balls occur during the inning, all runs scored are automatically earned ( assigned responsible to the pitcher ).

If only partial consilience is observed, this allows for the detection of errors in methodology ; any weaknesses in one technique can be compensated for by the strengths of the others.

If the input has no syntax errors, the parser continues with these steps until all of the input has been consumed and all of the parse trees have been reduced to a single tree representing an entire legal input.

If ( i ) or ( j ) have side effects or introduce run time errors, the subtle differences between ( l ) and ( l ') can be complex.

If the desired output values are often incorrect ( because of human error or sensor errors ), then the learning algorithm should not attempt to find a function that exactly matches the training examples.

If project control is not implemented correctly, the cost to the business should be clarified in terms of errors, fixes, and additional audit fees.

If the error rate is small enough, it is thought to be possible to use quantum error correction, which corrects errors due to decoherence, thereby allowing the total calculation time to be longer than the decoherence time.

If r is the degree of the primitive generator polynomial, then the maximal total block length is, and the associated code is able to detect any single-bit or double-bit errors.

If we use the generator polynomial, where is a primitive polynomial of degree, then the maximal total block length is, and the code is able to detect single, double, and triple errors.

If we increase the number of times we duplicate each bit to four, we can detect all two-bit errors but can't correct them ( the votes " tie "); at five, we can correct all two-bit errors, but not all three-bit errors.

If the translators correct the segmentations manually, later versions of the document will not find matches against the TM based on the corrected segmentation because the program will repeat its own errors.

If fluctuations are present ( as they always are ) and the sweep is slower than the fluctuation frequency ( as it usually is ), then the I-V is the average current as a function of voltage, which may result in systematic errors if it is analyzed as though it were an instantaneous I-V.

If the errors are correlated, the resulting estimator is BLUE if the weight matrix is equal to the inverse of the variance-covariance matrix of the observations.

If there are any errors in the inventory data, the bill of materials ( commonly referred to as ' BOM ') data, or the master production schedule, then the output data will also be incorrect (" GIGO ": Garbage In, Garbage Out ).

They allowed for the possibility of small errors in their calculations and even in some of their historic dates .” In fact, on February 28, Miller himself had written, “ If Christ comes, as we expect, we will sing the song of victory soon ; if not, we will watch, and pray, and preach until he comes, for soon our time, and all prophetic days, will have been filled .”

If the number of errors within a code word exceeds the error-correcting code's capability, it fails to recover the original code word.

If coordinates relative to some other date are used, then that will cause errors in the results.

If some of the operations are completed but errors occur when the others are attempted, the transaction-processing system " rolls back " all of the operations of the transaction ( including the successful ones ), thereby erasing all traces of the transaction and restoring the system to the consistent, known state that it was in before processing of the transaction began.

If the signal from antenna A is taken as the reference, inaccuracies in the delay will lead to errors and in the phases of the signals from tapes B and C respectively ( see drawing on right ).

# If no errors occur then commit the transaction and end it

# If errors occur then rollback the transaction and end it

If no errors occurred during the execution of the transaction then the system commits the transaction.