If the friction and heat dissipation were not present, the Moon's gravitational force on the tidal bulge would rapidly ( within two days ) bring the tide back into synchronization with the Moon, and the Moon would no longer recede.

If, instead of incorporating Einstein's clock synchronization ( lattice of clocks ), the astronaut ( outgoing and incoming ) and the Earth-based party regularly update each other on the status of their clocks by way of sending radio signals ( which travel at light speed ), then all parties will note an incremental build up of asymmetry in time-keeping, beginning at the " turn around " point.

If a receiver is connected to the system in the middle of a frame transmission, it ignores the data until it detects a new frame synchronization sequence.

If proper synchronization of sound and picture was achieved in recording, it could be absolutely counted on in playback.

If all instances are running at the same frame rate consistently, it is possible to get tight synchronization between displays.

If the routes do not have a common nominal delay, the synchronization has a systematic bias of half the difference between the forward and backward travel times .< ref >

Changes in electrical coupling have been suggested to account for some changes in RAS activity: If coupling were down-regulated, there would be a corresponding decrease in higher-frequency synchronization ( gamma band ).

If all women had an average-length menstrual cycle of 28 days duration, the maximum time between two women's onsets would be 14 days and the minimum time between onsets would be zero days ( synchronization ).

If the standards vary, the user may either need to choose a password that complies with all the rules ( the lowest common denominator ) or this may be achieved behind the scenes within the password synchronization software ( e. g. padding or truncating passwords to conform to size constraints on certain systems ).

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 internal responsibility suggests acceptance of the socialist ideal of equality, then external responsibility implies adherence to principles of ideological supranationalism.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

If the ideals A and B of R are coprime, then AB = A ∩ B ; furthermore, if C is a third ideal such that A contains BC, then A contains C. The Chinese remainder theorem is an important statement about coprime ideals.

If an ideal thermally conductive blackbody was the same distance from the Sun as the Earth is, it would have a temperature of about 5. 3 ° C.

If one takes the median of 17 of these 22 compositions for rockets ( 75 % nitrates, 9. 06 % sulfur, and 15. 94 % carbon ), it is nearly identical to the modern reported ideal gunpowder recipe of 75 % potassium nitrate, 10 % sulfur, and 15 % carbon.

If the air density and temperature are the same above and below a wing, a naive application of the ideal gas law requires that the pressure also be the same.

If that ideal size is large enough to supply the whole market, then that market is a natural monopoly.

If met with ideal conditions on a new planet's surfaces, the bacteria become active and the process of evolution begins.

If the number of participants is large, and some of their physical or network distancee are great, then the probability of complete success ( which is, in ideal circumstances, required for system security ) will be rather low.

* If R denotes the ring CY of polynomials in two variables with complex coefficients, then the ideal generated by the polynomial Y < sup > 2 </ sup > − X < sup > 3 </ sup > − X − 1 is a prime ideal ( see elliptic curve ).

The key result is the structure theorem: If R is a principal ideal domain, and M is a finitely

If M is a free module over a principal ideal domain R, then every submodule of M is again free.

If A < sub > i </ sub > in R < sub > i </ sub > is an ideal for each i in I, then A = Π < sub > i in I </ sub > A < sub > i </ sub > is an ideal of R. If I is finite, then the converse is true, i. e. every ideal of R is of this form.

# If n = 2k + 1, then the action of the unit vector u on the left ideal decomposes the space into a pair of isomorphic irreducible eigenspaces ( both denoted by Δ ), corresponding to the respective eigenvalues + 1 and − 1.

If I is a right ideal of R, then I is simple as a right module if and only if I is a minimal non-zero right ideal: If M is a non-zero proper submodule of I, then it is also a right ideal, so I is not minimal.