If, in the trustee's judgment, `` reasonable market conditions '' did not prevail during any given year, he was to be allowed to petition the court for an extension of time within the ten-year period.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

If extension is executed properly the discus will be at the right angle to ride on the air current and thus be taken a farther distance.

If the expression that defines the DFT is evaluated for all integers k instead of just for, then the resulting infinite sequence is a periodic extension of the DFT, periodic with period N.

If a mismatch is accidentally incorporated, the polymerase is inhibited from further extension.

If E / F is a Galois extension, then Aut ( E / F ) is called the Galois group of ( the extension ) E over F, and is usually denoted by Gal ( E / F ).

If E / F is a Galois extension, then Gal ( E / F ) can be given a topology, called the Krull topology, that makes it into a profinite group.

* If V is a normed vector space with linear subspace U ( not necessarily closed ) and if is continuous and linear, then there exists an extension of φ which is also continuous and linear and which has the same norm as φ ( see Banach space for a discussion of the norm of a linear map ).

If neighboring geodesics start moving toward each other they eventually collide, at which point their extension is inside the black hole.

If multiple vendors agree to implement the same functionality using the same API, a shared extension may be released, using the identifier EXT.

If it is another extension, the operator places the front cord in the associated jack and pulls the front key backwards to ring the called party.

If not, only existing, actual things can be in the extension of a concept or expression.

If the extension you call in voice announce mode is not answered, press ITCM before pressing CAMP.

If the magnetic-pole distribution is known, then the pole model gives the magnetic field H. Outside the magnet, the field B is proportional to H, while inside the magnetization must be added to H. An extension of this method that allows for internal magnetic charges is used in theories of ferromagnetism.

If we further consider both spaces with the sup norm the extension map becomes an isometry.

If a filename contains only lowercase letters, or is a combination of a lowercase basename with an uppercase extension, or vice-versa ; and has no special characters, and fits within the 8. 3 limits, a VFAT entry is not created on Windows NT and later versions such as XP.

* If d is a square free integer then the extension K = Q (√) is a quadratic field of rational numbers.

If the situation is as above but the extension L of K is algebraic of infinite degree, then it is still possible for the integral closure S of R in L to be a Dedekind domain, but it is not guaranteed.

If the implementation language is changed, the command name extension is changed as well, and the OS provides a consistent API by allowing the same extension-less version of the command to be used in both cases.

If we consider a general locally compact group and the connected component of the identity, we have a group extension

If the legal revision which extends a protected period will be actually carried out, Aozora Bunko would be forced not to publish books which have already and almost been published because of the 20 years extension of protection of copyright.

If a field K contains a primitive n-th root of unity and the n-th root of an element of K is adjoined, the resulting so-called Kummer extension is an abelian extension ( if K has characteristic p we should say that p doesn't divide n, since otherwise this can fail even to be a separable extension ).

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 Mr. Kennan is sometimes a little somber in his appraisals, if his analysis of how Western diplomacy met the challenge of an era of great wars and social revolutions is often critical and pessimistic -- well, the record itself is not too encouraging.

If integration via the bus is achieved, the data warehouse, through its two data marts, will not only be able to deliver the specific information that the individual data marts are designed to do, in this example either " Sales " or " Production " information, but can deliver integrated Sales-Production information, which, often, is of critical business value.

If Lorentz symmetry can cease to be a fundamental symmetry at Planck scale or at some other fundamental scale, it is conceivable that particles with a critical speed different from the speed of light be the ultimate constituents of matter.

If the system had no means of recovery, it could display the alert, even in systems with numerous critical flaws.

If this critical sample is obtained at the time of hypoglycemia, before it is reversed, it can provide information that would otherwise require a hospital admission and unpleasant starvation testing.

In November of the same year, the band's first album with Jeepster, ' If You're Feeling Sinister ' was released to critical acclaim.

If either the form or the parameters of F ( x ) are determined from the data X < sub > i </ sub > the critical values determined in this way are invalid.

If one chooses a critical value of the test statistic D < sub > α </ sub > such that P ( D < sub > n </ sub > > D < sub > α </ sub >)

If the refractive index is lower on the other side of the boundary and the incident angle is greater than the critical angle, no light can pass through and all of the light is reflected.

If the incident ray is precisely at the critical angle, the refracted ray is tangent to the boundary at the point of incidence.

If for example, visible light were traveling through acrylic glass ( with an index of refraction of 1. 50 ) into air ( with an index of refraction of 1. 00 ), the calculation would give the critical angle for light from acrylic into air, which is

One contemporary writer critical of the scuttling of the Terrible wrote that " she made no more water than she did before battle ", and, more acidly, " If an able officer had been at the head of the fleet, the Terrible would not have been destroyed.

If two processes attempt to enter a critical section at the same time, the algorithm will allow only one process in, based on whose turn it is.

If one process is already in the critical section, the other process will busy wait for the first process to exit.

If a critical section is long, then the system clock will drift every time a critical section is executed since the timer interrupt is no longer serviced, so tracking time is impossible during the critical section.

If, for example, developers are rewarded by the number of bugs they fix, they will naturally fix the easiest bugs first — leaving the hardest, and probably most risky or critical, to the last possible moment.

If, however, the medium of exchange function is more critical, new money may be more freely issued regardless of impact on either inflation or well-being.

If f is a differentiable function on R ( or an open interval ) and x is a local maximum or a local minimum of f, then the derivative of f at x is zero ; points where are called critical points or stationary points ( and the value of f at x is called a critical value ).

If the function is differentiable, the minima and maxima can only occur at critical points or endpoints.

If there are some positive and some negative eigenvalues, then the critical point is a saddle point, and if none of these cases hold ( i. e., some of the eigenvalues are zero ) then the test is inconclusive.

If a crit is inflicted, a second roll is made on the appropriate critical table.

Zinn regularly included it in his lists of recommended readings, and after Barack Obama was elected President of the United States, Zinn wrote, " If Richard Hofstadter were adding to his book The American Political Tradition, in which he found both ' conservative ' and ' liberal ' presidents, both Democrats and Republicans, maintaining for dear life the two critical characteristics of the American system, nationalism and capitalism, Obama would fit the pattern.