If, as I suspect, the problem is largely of the second sort, then development of a theory better able to handle tone will result automatically in better theory for all phonologic subsystems.

If a single test fails, then the theory is falsified.

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 the wave function is regarded as ontologically real, and collapse is entirely rejected, a many worlds theory results.

If wave function collapse is regarded as ontologically real as well, an objective collapse theory is obtained.

If one axiomatizes relations instead of functions, one obtains the theory of allegories.

If the program is given to someone who speaks only English to execute the instructions of the program by hand, then in theory, the English speaker would also be able to carry on a conversation in written Chinese.

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, after that, they breach the order, proceedings can be started and in theory the person involved can be sent to prison.

The well-known historian of physics, C. P. Snow, says about him, " If Fermi had been born a few years earlier, one could well imagine him discovering Rutherford's atomic nucleus, and then developing Bohr's theory of the hydrogen atom.

If the ideological approach is concerned with broad movements and the effects of the world around the filmmaker, then the auteur theory is diametrically opposed to it, celebrating the individual, usually in the person of the filmmaker, and how his personal decisions, thoughts, and style manifest themselves in the material.

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 this sounds indulgent, it allows simultaneity, absolute space and time and a deterministic universe ( along with decoherence theory ) whilst the status-quo permits time travel / causality paradoxes, subjectivity in the measurement process and multiple universes.

If the field of scalars of the vector space has characteristic p, and if p divides the order of the group, then this is called modular representation theory ; this special case has very different properties.

If the group is neither abelian nor compact, no general satisfactory theory is currently known.

If no value of the rotation parameter is successful and theory is not within observational error, a modification of physical law is considered.

In The Origin of Species, he wrote, " If it could be demonstrated that any complex organ existed, which could not possibly have been formed by numerous, successive, slight modifications, my theory would absolutely break down.

If, after a few thousand generations, the bacteria evolved the bacterial flagellum, then Behe believes that this would refute his theory.

If the underlying manifold is supersymmetric, the resulting theory is a supersymmetric Yang – Mills theory.

In arithmetic and number theory, the least common multiple ( also called the lowest common multiple or smallest common multiple ) of two integers a and b, usually denoted by LCM ( a, b ), is the smallest positive integer that is divisible by both a and b. If either a or b is 0, LCM ( a, b ) is defined to be zero.

If there were such a number then the theory would be inconsistent, contrary to the consistency hypothesis.

If the lift coefficient for a wing at a specified angle of attack is known ( or estimated using a method such as thin airfoil theory ), then the lift produced for specific flow conditions can be determined using the following equation:

Statements such as the Banach – Tarski paradox can be rephrased as conditional statements, for example, " If AC holds, the decomposition in the Banach – Tarski paradox exists.

If a player holds onto his stock, he runs the risk that the acquired chain may not reemerge before the game ends.

If the claim is unopposed, the Committee will generally award the claim, unless there is evidence of collusion, the peerage has been in abeyance for more than a century, or the petitioner holds less than one-third of the claim.

If a " clinch " – a defensive move in which a boxer wraps his or her opponents arms and holds on to create a pause – is broken by the referee, each fighter must take a full step back before punching again ( alternatively, the referee may direct the fighters to " punch out " of the clinch ).

If your side has two aces and a void, then you are not at risk of losing the first two tricks, so long as ( a ) your void is useful ( i. e., does not duplicate the function of an ace that your side holds ) and ( b ) you are not vulnerable to the loss of the first two tricks in the fourth suit ( because, for instance, one of the partnership hands holds a singleton in that suit or the protected king, giving your side second round control ).

If the ruler lacks rén, Confucianism holds, it will be difficult if not impossible for his subjects to behave humanely.

If the collection holds guns of criminal interest, such as pistols or sub machine-guns the police may demand a very high safety level on the keeping of the guns ( such as security windows and vault doors ).

If on the other hand Theorem 2 holds and φ is valid in all structures, then ¬ φ is not satisfiable in any structure and therefore refutable ; then ¬¬ φ is provable and then so is φ, thus Theorem 1 holds.

If all the non-zero bits were counted, then the intermediate result register now holds the final result.

If the judge finds such probable cause, he or she binds, or holds over, the suspect for trial.

If the condition only holds for all singleton subsets of R, then the ring is a right Rickart ring.

The Council of Trent decreed: " If anyone shall say that a man once justified can sin no more, nor lose grace, and that therefore he who falls and sins was never truly justified ; or, on the contrary, that throughout his whole life he can avoid all sins even venial sins, except by a special privilege of God, as the Church holds in regard to the Blessed Virgin: let him be anathema.

If denotes the state of the system at any one time t, the following Schrödinger equation holds:

If the foregoing argument holds good, Mary of Bethany and the " sinner " are one and the same.

If the most commonly accepted attribution of texts ( that of Christian Lindtner ) holds, then he was clearly a Māhayānist, but his philosophy holds assiduously to the Śrāvaka canon, and while he does make explicit references to Mahāyāna texts, he is always careful to stay within the parameters set out by the Śrāvaka canon.

If a player has two small pairs, and he believes that it will be necessary for him to make a full house to win, then he has four outs: the two remaining cards of each rank that he holds.

If P were 100 % true, not-P would be 100 % false, and there is no contradiction because P and not-P no longer holds.

If this condition is fulfilled, also holds.

If the opposite holds true, then it becomes more costly for landowners to have guards for the slaves than to employ paid workers who can only demand low wages due to the amount of competition.

If, we call X self-similar if it is the only non-empty subset of Y such that the equation above holds for.

If the axiom of choice holds, the following conditions on a cardinal are equivalent:

If the officer imposing punishment holds General Court Martial authority, or if the commanding officer of the grade O-7 or greater