Help


[permalink] [id link]
+
Page "Convergence of Fourier series" ¶ 25
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

If and has
`` If Blue Throat has his way he'll keep us all cooped up in here for days '', he said.
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 the man on the sidewalk is surprised at this question, it has served as an exclamation.
If any one of them has any power to veto the Secretary General's decisions the nature of the organization will have changed.
If this new Bible does not increase in significance by repeated readings throughout the years, it will not survive the ages as has the King James Version.
If the case is thus determined by us to be domestic, the court has no jurisdiction.
If this capacity had not failed them, they would see that their enemy has made a disastrous miscalculation.
If the new Soviet series has followed the general pattern of previous Russian tests, the shots were roughly half fission and half fusion, meaning a fission yield of 30 to 40 megatons thus far.
If the superintendents do not receive more cooperation from Handlers, it has been suggested that licensed Judges also be qualified to judge this Class.
If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.
If design head has a deep cavity, clay lid will be quite thick at this point ; ;
If you run into excess plug fouling on one truck, check to be sure that the rig has a thermostat.
If we manage to keep track of a Bombus queen after she has left her feeding place, we may discover the snug little hideout which she has fixed up for herself when she woke up from her winter sleep.
If cell Af has not previously been assigned as the information cell of a form in the text-form list, it is now assigned as the information cell of Af.
If of the founders of glottochronology Swadesh has escaped our steady plodding, and Lees has repudiated his own share in the founding, that is no reason why we should swerve.
If the transferor has substantial assets other than the claim, it seems reasonable to assume no corporation would be willing to acquire all of its properties in the dim hope of collecting a claim for refund of taxes.
If the patient can perceive figure kinesthetically when he cannot perceive it visually, then, it would seem, the sense of touch has immediate contact with the spatial aspects of things in independence of visual representations, at least in regard to two dimensions, and, as we shall see, even this much spatial awareness on the part of unaided touch is denied by the authors.
If the distant patron of the suburban branch has been frightened away from downtown by traffic problems, however, the city store can only pressure the politicians to do something about the highways or await the completion of the federal highway program.
If a statement has been assigned an address in the index word area
If she has not had such experiences, the female's normal adolescent degree of indecision will be compounded.
If the change, at first sight, seems minor, we may recall that it took the Italian painters about two hundred years to make an analogous change, and the Italian painters, by universal consent, were the most brilliant group of geniuses any art has seen.
If Barnett doesn't call a special session in 1961, it will be the first year in the last decade that the Legislature has not met in regular or special session.
If the church has followed the plan of cultivation of prospects and carried through a program of membership preparation as outlined earlier in this book, the process of assimilation and growth will be well under way.

If and modulus
If we ask what is the probability of observing the system making a transition or quantum leap from to before has interacted with its environment, then application of the Born probability rule states that the transition probability is the modulus squared of the scalar product of the two states:
If we compare this with the formula we derived before the environment introduced decoherence we can see that the effect of decoherence has been to move the summation sign from inside of the modulus sign to outside.
If the modulus is p < sup > n </ sup >,
If we abbreviate as, and respectively as ( the theta constants ) then the elliptic modulus k is.
If the applied stress is sufficiently low ( or the imposed strain is small enough ), almost all solid materials behave in such a way that the strain is directly proportional to the stress ; the coefficient of the proportion is called the modulus of elasticity.
If further Λ is an ideal a in a ring of integers O of a quadratic imaginary field K then we write j ( a ) for the corresponding singular modulus.
If the upper limit of integration up to the yield point is restricted, then the energy absorbed per unit volume is known as the modulus of resilience.
* If has as modulus of continuity and, then, obviously, admits too as modulus of continuity.
* If and are functions between metric spaces with moduli respectively and, then the composition map has modulus of continuity.
* If and are functions from the metric space X to the Banach space, with moduli respectively and, then any linear combination has modulus of continuity.
* 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 a family of real-valued functions on the metric space with common modulus of continuity, then the inferior envelope, respectively, the superior envelope, is a real-valued function with modulus of continuity, provided it is finite valued at every point.
If X is defined as being positive for an inductor and negative for a capacitor then we can remove the modulus signs from Q and X and get
If the roots of the characteristic polynomial ρ all have modulus less than or equal to 1 and the roots of modulus 1 are of multiplicity 1, we say that the root condition is satisfied.
If it is convergent and all roots of modulus 1 are not repeated, but there is more than one such root, it is said to be relatively stable.
If all of its roots have modulus less than one then the numerical solution of the multistep method will converge to zero and the multistep method is said to be absolutely stable for that value of hλ.
If the other roots of the characteristic equation lie inside the unit circle — that is, have a modulus ( absolute value ) less than one — then the first difference of the process will be stationary.

If and continuity
If the photographically realistic continuity of dreams, however bizarre their combinations, denies that it is purely a composition of the brain, it must be compounded from views of diverse realities, although some of them may never be encountered in what we are pleased to call the real life.
If continuity is not a given, the converse is not necessarily true.
If transitions do not exist, then there is no proof of any continuity between A and B.
* In an issue of the What If series, Cannonball's brother Josh ( who would, in normal continuity, later become Icarus ) found and " adopted " a Sentinel.
If one does not require a ring to have a unit, then one has to add the requirement of continuity of the additive inverse, or equivalently, to define the topological ring as a ring which is a topological group ( for +) in which multiplication is continuous, too.
If something happened outside current continuity ( such as the so-called " Imaginary Stories " that were a staple of DC's Silver Age publications ), it was explained away as happening on a parallel world, a premise not dissimilar to the company's current Elseworlds imprint.
DC in particular periodically revisits the idea in major crossover storylines, such as Crisis on Infinite Earths and Infinite Crisis, where Marvel has a series called What If ... that's devoted to exploring alternative realities, which sometimes impact the " main " universe's continuity.
If recanalization proceeds it provides capillary-sized channels through the thrombus for continuity of blood flow through the entire thrombus but may not restore sufficient blood flow for the metabolic needs of the downstream tissue.
If the disturbance is not too large, the various physical quantities associated with the perturbed system ( e. g. its energy levels and eigenstates ) can, from considerations of continuity, be expressed as ' corrections ' to those of the simple system.
If f and g are germ equivalent at x, then they share all local properties, such as continuity, differentiability etc., so it makes sense to talk about a differentiable or analytic germ, etc.
Unlike its Marvel Comics counterpart What If ...?, which bases its stories on a single point of divergence from the regular continuity, most Elseworlds stories instead take place in entirely self-contained continuities, with the only connection to the canon DC continuity being the presence of familiar DC characters.
If Berossos believed in the continuity of history with patterns that repeated themselves ( i. e., cycles of events as there were cycles of the stars and planets ), a bare narrative would suffice.
If the pericycle is superficial and the cortex is retained either the endodermis is stretched or crushed or it keeps pace with the expansion of the vascular cylinder by radial anticlinal divisions, the new walls developing Casparian strips in continuity with the old ones.
Thus, boundedness of T < sup >∗</ sup > on its domain does not imply boundedness of T. On the other hand, if T < sup >∗</ sup > is defined on the whole space then T is bounded on its domain and therefore can be extended by continuity to a bounded operator on the whole space .< ref > Proof: being closed, the everywhere defined T < sup >∗</ sup > is bounded, which implies boundedness of T < sup >∗∗</ sup >, the latter being the closure of T. See also for the case of everywhere defined T .</ ref > If the domain of T < sup >∗</ sup > is dense, then it has its adjoint T < sup >∗∗</ sup >.
If this was indeed Grant, it may indicate that as far as the Big Finish continuity is concerned, he was written out of history.
If that was Sam, it may indicate that, as far as the Big Finish continuity is concerned, she was written out of history.

0.997 seconds.