If modeled on the practice of using dictionaries, there would be no circle in an illustration of the activity of looking up a word whose entry provides a definition in terms of that word ( or in terms of another word defined in terms of this word ).

If a majority or all of the turbulent scales are modeled, the computational cost is very low, but the tradeoff comes in the form of decreased accuracy.

If the implicit dependency can be removed, for example by raising the dimension of the space, thereby adding at least one additional parameter, the system is not truly nonholonomic, but is simply incompletely modeled by the lower dimensional space.

If the data is thought to contain seasonal effects, it may be modeled by a SARIMA ( seasonal ARIMA ) or a periodic ARMA model.

If an error is modeled by a unitary transform U, which will act on a qubit, then can be described in the form

If output message ordering is desired, then it can be modeled by a queue Actor that provides this functionality.

*" If there is a hell, it is modeled after Jr.

If the DA is not itself subject to these principles then its assumption that the human race's survival-time can be modeled using them appears to be a paradox ( to Lansberg & Dewynne ).

It was modeled after a quotation from founder William F. Hamilton: " If I had it to do over again, I would try to find a college which gives a program in business administration along with a thorough knowledge of engineering.

If the behavior is not modeled correctly then the unit tests may register a pass even though a failure would occur at run time under the same conditions that the unit test is exercising, thus rendering the unit test inaccurate.

If all the operating variables were varied simultaneously, Af operations would be required to do the same job, and as R increases this increases very much more rapidly than the number of operations required by the dynamic program.

If are independent and identically distributed random variables, each with a standard Cauchy distribution, then the sample mean has the same standard Cauchy distribution ( the sample median, which is not affected by extreme values, can be used as a measure of central tendency ).

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 a Diophantine equation has as an additional variable or variables occurring as exponents, it is an exponential Diophantine equation.

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 one identifies C with R < sup > 2 </ sup >, then the holomorphic functions coincide with those functions of two real variables with continuous first derivatives which solve the Cauchy-Riemann equations, a set of two partial differential equations.

If the negated query can be refuted, i. e., an instantiation for all free variables is found that makes the union of clauses and the singleton set consisting of the negated query false, it follows that the original query, with the found instantiation applied, is a logical consequence of the program.

* If R denotes the ring CY of polynomials in two variables with complex coefficients, then the ideal generated by the polynomial Y < sup > 2 </ sup > − X < sup > 3 </ sup > − X − 1 is a prime ideal ( see elliptic curve ).

These authors asked people to compare written statements about the relations between several variables to graphs illustrating the same or a different relation, as in the following sentence: " If the cake is from France, then it has more sugar if it is made with chocolate than if it is made with cream, but if the cake is from Italy, then it has more sugar if it is made with cream than if it is made of chocolate.

which is natural in the variables N and F. The counit of this adjunction is simply the universal cone from lim F to F. If the index category J is connected ( and nonempty ) then the unit of the adjunction is an isomorphism so that lim is a left inverse of Δ.

If the constraints don't couple the variables too tightly, a relatively simple attack is to change the variables so that constraints are unconditionally satisfied.

If the signal data are not constant, then can be calculated from data where the signal is zero or relatively constant .</ ref > Notice that such an alternative definition is only useful for variables that are always non-negative ( such as photon counts and luminance ).

If the rule specifies an AND relationship between the mappings of the two input variables, as the examples above do, the minimum of the two is used as the combined truth value ; if an OR is specified, the maximum is used.

If R is a given commutative ring, then the set of all polynomials in the variable X whose coefficients are in R forms the polynomial ring, denoted R. The same holds true for several variables.

If we have just two variables and they have the same sample variance and are positively correlated, then the PCA will entail a rotation by 45 ° and the " loadings " for the two variables with respect to the principal component will be equal.

* If the product of the two variables is always equal to a constant, the two are said to be inversely proportional.

If all other variables are held constant, the magnitude or absolute value of one inversely proportional variable will decrease if the other variable increases, while their product ( the constant of proportionality k ) is always the same.

If the points lie on or close to a straight line that passes through the origin ( 0, 0 ), then the two variables are probably proportional, with the proportionality constant given by the line's slope.

If a linear relationship is found to exist, the variables are said to be correlated.

If the number of state variables necessary to describe future output is finite, the system is lumped ; if it is infinite, the system is distributed.

If X < sub > 1 </ sub >, ...., X < sub > n </ sub > are independent Bernoulli-distributed random variables with expected value p, then the sum T ( X )

If the largest integer to be encountered can be accommodated by the ' faster ' data type, defining the variables as that type will result in faster execution-since even a non-optimizing compiler will, in-effect, be ' forced ' to choose appropriate instructions that will execute faster than would have been the case with data types associated with ' slower ' instructions.

If absolute indexes are used in the generated ( or manually created ) unwound code, rather than variables, the code created may actually be able to avoid generated pointer arithmetic instructions altogether, using offsets instead ).

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

`` If you hadn't I'd have killed you ''.

If we have to we'll take him apart and see what he's made of ''!!

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 ; ;

If it were not that I knew who it was I could have mistaken it for my Aunt so well did her clothes fit him.

`` If you can conveniently let me have twenty dollars '', he wrote one friend in 1791 when he was Secretary of the Treasury.

If these people were denied a voice ( do they have a moral right to a voice??

If we want respect from ourselves or others, we will have to earn it.

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

If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.

If you cut down these horrible buildings you'll have no more traffic jams.

If I am to speak the whole truth about my knowledge of love, I will have to stop trying to emulate the transcendant nightingale.

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

If we grasp this opportunity to build an age of productive partnership between the less fortunate nations and those that have already achieved a high state of economic advancement, we will make brighter the outlook for a world order based upon security and freedom.

If his scholarship and formal musicianship were not all they might have been, Mercer demonstrated at an early age that he was gifted with a remarkable ear for rhythm and dialect.

If only for this modest masterpiece of military history, Blenheim is likely to be read and reread long after newer interpretations have perhaps altered our picture of the Marlborough wars.

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

If Krutch is correct, tragedy may have quite the opposite effect.

`` If you can firmly make the good knight sure to pleasure our Corporation '', Sturley wrote, `` besides that ordinary allowance for your diet you shall have 20 for recompence ''.

If he borrowed money from Shakespeare or with his help, he would now have been able to repay the loan.

If any one of them has any power to veto the Secretary General's decisions the nature of the organization will have changed.

If he can bounce back with one of those 25 home runs years, the club will have to be better off offensively.

If there were no West Berlin problem, imperialist quarters would have invented an excuse for stepping up the armaments race to try to solve the internal and external problems besetting the United States and its NATO partners.

If he can't play with Mommy's magazines, he should have some old numbers of his own.

If they also defeat the school bill, the GOP task force won't have much research to do.