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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.
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 the Noetherianity hypothesis is dropped, then R can have dimension anywhere between d + 1 and 2d + 1.
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 correct
If it were the enemy, tactically his position was correct.
If Krutch is correct, tragedy may have quite the opposite effect.
If this analysis is correct, the suburban branches will turn out to be what management's cost accountants refuse to acknowledge, marginal operations rather than major factors.
If the polarities are correct, the platform rotates in such a direction as to reduce the accelerometer output to zero.
If the polarity is correct, the platform will turn until the heading error angle is zero.
If the appellate court does find a legal defect in the decision " below " ( i. e., in the lower court ), it may " modify " the ruling to correct the defect, or it may nullify (" reverse " or " vacate ") the whole decision or any part of it.
If the latter, Amaryllis would be the correct name for the genus Hippeastrum, and a different name would have to be used for the genus discussed here.
If the above errors be eliminated, the two astigmatic surfaces united, and a sharp image obtained with a wide aperture — there remains the necessity to correct the curvature of the image surface, especially when the image is to be received upon a plane surface, e. g. in photography.
If a correct signature was located on the cartridge, the 7800 would operate in 7800 mode, granting the game access to MARIA and other features.
If there is a correct match for every case, the test suite is said to pass.
If this suggestion is correct, the beginning of the world happened a little before the beginning of space and time.
If the heuristic can't find the correct setting, the variable is assigned randomly.
If the first theory is correct ( see above ), then the absence of cavalry removed the main Athenian tactical disadvantage, and the threat of being outflanked made it imperative to attack.
If the second theory is correct, this raises the further question of why the Persians, having hesitated for several days, then attacked.
If names be not correct, language is not in accordance with the truth of things.
If there is a contra-auguste character, he often is instructed by the whiteface to correct the auguste when he is doing something wrong.
If the player either hits the ball through the correct hoop (" runs " the hoop ), or hits another ball ( a " roquet "), the turn continues.
If the bacterium senses that it is moving in the correct direction ( toward attractant / away from repellent ), it will keep swimming in a straight line for a longer time before tumbling.
If the liquid and vapor are not evenly distributed across the superficial tower area as it enters the packed bed, the liquid to vapor ratio will not be correct in the packed bed and the required separation will not be achieved.
If this view is correct, the epistle should be dated somewhere around 47, depending on other difficult to date events, such as Paul's conversion.
If it is correct to identify the community at Qumran with the Essenes ( and that the community at Qumran are the authors of the Dead Sea Scrolls ), then according to the Dead Sea Scrolls the Essenes ' community school was called " Yahad " ( meaning " community ") in order to differentiate themselves from the rest of the Jews who are repeatedly labeled " The Breakers of the Covenant ".
If the currently accepted figure of 11. 4 ly ( see 61 Cygni and discussion page ) is correct, Bessel's figure had an error of 8. 8 %.
If some of the units in the fold are facing downward, the structure is called an overturned anticline or syncline, and if all of the rock units are overturned or the correct up-direction is unknown, they are simply called by the most general terms, antiforms and synforms.
He adds " If this highly speculative surmise be correct, it is also necessary to assume either that the existence of the door was forgotten or that the entrance was again blocked with facing stones " in order to explain why al-Ma ' mun could not find the entrance.
If the expert was correct, 78 % of the participants chose the expert's opinion again, as opposed to 57 % doing so when the expert was wrong.

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