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If the Noetherianity hypothesis is dropped, then R can have dimension anywhere between d + 1 and 2d + 1.
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If and hypothesis
If we consider the thesis and its converse as definition, then the hypothesis is an hypothesis about the application of the mathematical theory developed from the definition.
If empirical data reach significance under the appropriate statistical formula, the research hypothesis is supported.
If not, the null hypothesis is supported ( or, more correctly, not rejected ), meaning no effect of the independent variable ( s ) was observed on the dependent variable ( s ).
The evidence was compiled by W de Sitter ( 1927 ) who wrote " If we accept this hypothesis, then the ' astronomical time ', given by the earth's rotation, and used in all practical astronomical computations, differs from the ' uniform ' or ' Newtonian ' time, which is defined as the independent variable of the equations of celestial mechanics ".
If confirmed, this would imply special relativity is an approximation to a more general theory, but since the relevant comparison would ( by definition ) be outside the observable universe, it is difficult to imagine ( much less construct ) experiments to test this hypothesis.
If F is continuous then under the null hypothesis converges to the Kolmogorov distribution, which does not depend on F. This result may also be known as the Kolmogorov theorem ; see Kolmogorov's theorem for disambiguation.
If there were such a number then the theory would be inconsistent, contrary to the consistency hypothesis.
If Prout's hypothesis had proven accurate, then the abstract concept of mass, as we now know it, might never have evolved, since mass could always be defined in terms of amounts of the hydrogen atomic mass.
If this hypothesis is correct, it also is likely that male Pteranodon played little to no part in rearing the young ; such a behavior is not found in the males of modern polygynous animals who father many offspring at the same time.
Many of his stories, such as Gulf, If This Goes On —, and Stranger in a Strange Land, depend strongly on the premise, related to the well-known Sapir – Whorf hypothesis, that by using a correctly designed language, one can change or improve oneself mentally, or even realize untapped potential ( as in the case of Joe Green in Gulf ).
If such an Interstellar Internet exists, the hypothesis states, communications between servers are mostly through narrow-band, highly directional radio or laser links.
The theorem " If n is an even natural number then n / 2 is a natural number " is a typical example in which the hypothesis is that " n is an even natural number " and the conclusion is that " n / 2 is also a natural number ".
If the null hypothesis that is rejected, then the alternative hypothesis that and equivalently that causes y cannot be rejected.
If the first person accepts the hypothesis that " All ravens are black " then, according to the argument, about 50 objects whose colors were previously in doubt ( the ravens ) are now thought to be black, while nothing different is thought about the remaining objects ( the non-ravens ).
If the evidence doesn't match up with a hypothesis, one should reject the hypothesis.
If this hypothesis were true however, age at menopause should be negatively correlated with reproductive effort and the available data does not support this.
If the giant impact hypothesis is correct, they must be due to some other cause.
* If the continuum hypothesis holds then is the unique Parovicenko space, up to isomorphism.
If there were such a number then the theory would be inconsistent, contrary to the consistency hypothesis.
If an experiment is carefully conducted, the results usually either support or disprove the hypothesis.
The book commences on a hypothesis of novelistic elements (" If ...") on a when, a someone ... would do what?
If and is
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 and dropped
If the shuttlecock has dropped lower, then a smash is impossible and a full-length, high clear is difficult.
If two neighbors advertised the same route, but one neighbor is reachable via a low-bitrate link and the other by a high-bitrate link, and the interior routing protocol calculates lowest cost based on highest bitrate, the route through the high-bitrate link would be preferred and other routes dropped.
If there exists no route back to the source address, the packet is assumed to be malformed or involved in a network attack, and is dropped.
If no other satellite is in view, the connection is dropped.
The Long Live Love album was released in the United States as If You Love Me, Let Me Know with the six Eurovision songs dropped for four different, more country-oriented tracks intended to capitalize on the success of " Let Me Be There ".
If a Master Mason is dropped from the rolls for non-payment of dues, under most circumstances he may be immediately reinstated in good standing simply by paying his current dues as well as any back dues owed, although in many jurisdictions there is a requirement to ballot for re-admission.
If the is inherent, however, as in The Hague, it cannot be dropped.
According to Norman, the record company dropped several Christian songs, including " Butterfly ," " If God Is My Father ," " Kulderachna ", and " I Hope I'll See You In Heaven ", in favor of more lightweight love songs like " Fly, Fly, Fly ," the album's opening track ", and " Christmastime ', both previously released as singles.
If killed by another player the victor is allowed to take the dropped items from the vanquished player.
If the window that the climber is dropped onto is fully closed, the balloon pauses there until the window opens up again.
If the shot is dropped in, the drink is known as a depth charge.
If the first two conditions above are dropped, then the third condition says this polynomial sequence is a Sheffer sequence -- a more general concept.
If Butterfield tipped them off, Fisk and Gould would sell their gold before the price dropped.
If, however, the state granted the Muslims full citizenship, the petition went on, opposition to conscription would be dropped.
If Numbskulls are found at the start of a level, they will have to be isolated and dropped by the player to remove them from the board.
If the pressure is dropped to a level equal to that of the patient's systolic blood pressure, the first Korotkoff sound will be heard.
If any elements of the database schema are dropped then the database schema is not ideal.
If the player is hit by an enemy, everything they are carrying is dropped.
Canibus name dropped Eminem's long time deceased friend Proof, Canibus said " If Proof Was Alive He'd Be Dying Inside ".
If you brought the nøkken a treat of three drops of blood, a black animal, some brännvin ( Scandinavian vodka ) or snus ( wet snuff ) dropped into the water, he would teach you his enchanting form of music.
If free system resources dropped below 10 %, Windows would become unstable and likely crash.
If I dropped this paper plate, he'd pick it up on one hop and throw me out at first.
If they fail to move into the top 100 in the following year's review, they are dropped.
If there is no empty space underneath the magic wall, a boulder or diamond dropped onto it will simply disappear.
3.978 seconds.