If the circumstances are faced frankly it is not reasonable to expect this to be true.

If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.

If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.

If they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;

If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.

If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.

If it is an honest feeling, then why should she not yield to it??

If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.

If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.

If he is good, he may not be legal ; ;

If the man on the sidewalk is surprised at this question, it has served as an exclamation.

If the existent form is to be retained new factors that reinforce it must be introduced into the situation.

If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??

If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.

If he is a traditionalist, he is an eclectic traditionalist.

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

If he sees the heroic in a Sartoris or a Sutpen, he sees also -- and he shows -- the blind and the mean, and he sees the Compson family disintegrating from within.

If the barn-burner's family produces a Flem Snopes, who personifies commercialism and materialism in hyperbolic crassness, the Compson family produces a Jason Compson 4.

If you have a year-round, full-time job you can't expect to grow much more than your family uses -- unless other members of the family do a good deal of the work or you hire help.

If you are not well acquainted with the area in which you wish to locate, or if you are not sure that you and your family will like and make a success of farming, usually you would do better to rent a place for a year or two before you buy.

If the response variable is expected to follow a parametric family of probability distributions, then the statistician may specify ( in the protocol for the experiment or observational study ) that the responses be transformed to stabilize the variance.

If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.

If there is an overabundance of food hunted, the arctic fox will bury what the family cannot eat.

If the descent were truly unbroken, father-to-son, since Confucius's lifetime, the males in the family would all have the same Y chromosome as their direct male ancestor, with slight mutations due to the passage of time.

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 immunity is waived by a government so that a diplomat ( or their family members ) can be prosecuted, it must be because there is a case to answer and it is in the public interest to prosecute them.

If there come any unto you, and bring not this doctrine, receive him not into your house residence or abode, or " inmates of the house " ( family ), neither bid him God speed: for he that biddeth him God speed is partaker of his evil deeds.

If the facts are related, this would be a unique case of a tradition that endured for more than a thousand years and that actually pre-dates most of the major splits in the Germanic language family.

*" If people regarded other people's families in the same way that they regard their own, who then would incite their own family to attack that of another?

If a hoplite escaped, he would sometimes be forced to drop his cumbersome aspis, thereby disgracing himself to his friends and family ( becoming a " ripsaspis ", one who threw his shield ).

If μ is an unknown constant and W is random noise with probability density, then has probability density and is therefore a location family ..

To Axel Oxenstierna, he confessed: " If anything happens to me, my family will merit your pity, the mother lacking in common sense, the daughter a minor-hopeless, if they rule, and dangerous, if others come to rule over them.

If they separated or the man was killed at war, the woman had her family to assist her.

Louis Farrakhan has stated " If you look at the human family — now, I'm talking about black, brown, red, yellow and white — we all seem to be frozen on a subhuman level of existence.

If the family was too small to finish eating the entire offering in one sitting, an offering was made for a group of families.

If we see enough matches we say we've noticed a family resemblance.

If the branch grew, it was a good omen for the union and family.

If researchers were trying to initially determine the chromosomal location of a particular disease gene, they would analyze the DNA of members of a family afflicted by the disease, and look for RFLP alleles that show a similar pattern of inheritance as that of the disease ( see Genetic linkage ).

The intermediate value theorem states the following: If f is a real-valued continuous function on the interval b, and u is a number between f ( a ) and f ( b ), then there is a c ∈ b such that f ( c ) = u.

If the random variable is real-valued ( or more generally, if a total order is defined for its possible values ), the cumulative distribution function gives the probability that the random variable is no larger than a given value ; in the real-valued case it is the integral of the density.

If X is a real-valued random variable and a is a number then the event X ≤ a is the set of outcomes whose corresponding value of X is less than or equal to a.

If ƒ is real-valued, the polynomial function can be taken over R.

If f ( x ) is a real-valued function and a and b are numbers with, then the mean value theorem says that under mild hypotheses, the slope between the two points ( a, f ( a )) and ( b, f ( b )) is equal to the slope of the tangent line to f at some point c between a and b. In other words,

* Suppose that is a sequence of Lipschitz continuous mappings between two metric spaces, and that all have Lipschitz constant bounded by some K. If ƒ < sub > n </ sub > converges to a mapping ƒ uniformly, then ƒ is also Lipschitz, with Lipschitz constant bounded by the same K. In particular, this implies that the set of real-valued functions on a compact metric space with a particular bound for the Lipschitz constant is a closed and convex subset of the Banach space of continuous functions.

If we restrict attention to real-valued W then the relation is defined only for x ≥ − 1 / e, and is double-valued on (− 1 / e, 0 ); the additional constraint W ≥ − 1 defines a single-valued function W < sub > 0 </ sub >( x ).

* If x, y, W, and V are real-valued random variables and a, b, c, d are constant (" constant " in this context means non-random ), then the following facts are a consequence of the definition of covariance:

Given the representation of T as a multiplication operator, it is easy to characterize the Borel functional calculus: If h is a bounded real-valued Borel function on R, then h ( T ) is the operator of multiplication by the composition.

The complex conjugate of is written If the scalar field is taken to be real-valued, then

If the function is a real-valued function, then the unweighted sum of on is defined as

If is a real-valued function, then the unweighted integral

If g is a real-valued function that is μ-integrable, and if is a convex function on the real line, then:

* If f is a real-valued function of a real variable, defined on some interval, then f is constant if and only if the derivative of f is everywhere zero.

: If the integral I can be shown to be zero, or if the real-valued integral that is sought is improper, then if we demonstrate that the integral I as described above tends to 0, the integral along R will tend to the integral around the contour R + I.

: If we can show the above step, then we can directly calculate R, the real-valued integral.

If f and g are real-valued, integrable functions over, both increasing or both decreasing, then

If x ( t ) is a real-valued signal with Fourier transform X ( f ), and u ( f ) is the Heaviside step function, then the function:

* If and are bounded real-valued functions on the metric space, with moduli respectively and, then the pointwise product has modulus of continuity.

If is real-valued, it is sufficient that the envelope be finite at one point of at least.

If are a pair of real-valued functions, then we can define the product of their jets via