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Page "Triality" ¶ 14
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If and further
If the death of Epaminondas in 362 BC freed Athens from fear of Thebes, it appears at the same time to have exposed it to further aggression from Alexander of Pherae, who made a piratical raid on Tinos and other cities of the Cyclades, plundering them, and making slaves of the inhabitants.
If the bankrupt does not comply with the Trustee's request to provide details of income, the trustee may have grounds to lodge an Objection to Discharge, which has the effect of extending the bankruptcy for a further five years.
If that is not possible, the Trustee may lodge an Objection to Discharge, effectively extending the bankruptcy for a further five years.
If the second theory is correct, this raises the further question of why the Persians, having hesitated for several days, then attacked.
If further research confirms these relationships, it will be necessary to reclassify the rorquals.
If one of the intervening states was a superpower, a civil war is extended a further 72 %; a conflict such as the Angolan Civil War, in which there is two-sided foreign intervention, including by a superpower ( actually, two superpowers in the case of Angola ), would be 538 % longer on average than a civil war without any international intervention.
If however it has already saved its life by self-castration and is again pursued, then it stands up and reveals that it offers no ground for their eager pursuit, and releases the hunters from all further exertions, for they esteem its flesh less.
If two molecules react, not only molecules of the final reaction products are formed, but also some unstable molecules, having the property of being able to further react with the parent molecules with a far larger probability than the initial reactants.
If a guest was considered a ' coward ' for dropping out of the game, he could be branded as a ' deserter ' and not invited back to further drinking bouts.
If ultra-pure products are the goal, then further chemical separation must be applied.
If a mismatch is accidentally incorporated, the polymerase is inhibited from further extension.
If the culture supports it, perhaps the economic discipline of the Lancaster school can reduce costs even further.
If no salt bridge were used, this charge difference would prevent further flow of electrons.
If buried on hot coals or ashes, the heat can kill pathogens, the dry ash can desiccate, and the earth can block oxygen and further contamination.
If drain-to-source voltage is increased further, the pinch-off point of the channel begins to move away from the drain towards the source.
If the status code indicated a problem, the user agent might display the reason phrase to the user to provide further information about the nature of the problem.
" If I have seen further, it is only by standing on the shoulders of giants.
If they further reflect, they must also recognize that an act of mutual love which impairs the capacity to transmit life which God the Creator, through specific laws, has built into it, frustrates His design which constitutes the norm of marriage, and contradicts the will of the Author of life.
If one thinks in this manner, then consider what happens when the story is extended further.
If the court finds that the respondent is " seriously mentally impaired ," he or she will be placed in a psychiatric hospital for further evaluation and possibly treatment.
If they are disturbed further, they may start an attack and bite.
If one considers a small fluorescent light source ( essentially a bright spot ), light coming from this spot spreads out the further out of focus one is.
If further copies are desired at this point, there is no choice but to make up another stencil from scratch.
If further trigger pulses do not affect the period, the circuit is a non-retriggerable multivibrator.
If desired, antes can be added to further increase the pressure to win more chips.

If and F
If ( remember this is an assumption ) the minimal polynomial for T decomposes Af where Af are distinct elements of F, then we shall show that the space V is the direct sum of the null spaces of Af.
If FF < sub > Critical </ sub > ( Numerator DF, Denominator DF, α )
If F is algebraically closed and p ( x ) is an irreducible polynomial of F, then it has some root a and therefore p ( x ) is a multiple of x − a.
If F is an antiderivative of f, and the function f is defined on some interval, then every other antiderivative G of f differs from F by a constant: there exists a number C such that G ( x ) = F ( x ) + C for all x.
If the domain of F is a disjoint union of two or more intervals, then a different constant of integration may be chosen for each of the intervals.
If F is also surjective, then the Banach space X is called reflexive.
If F. tularensis were used as a weapon, the bacteria would likely be made airborne for exposure by inhalation.
If evolutionary processes are blind to the difference between function F being performed by conscious organism O and non-conscious organism O *, it is unclear what adaptive advantage consciousness could provide.
If F and G are ( covariant ) functors between the categories C and D, then a natural transformation η from F to G associates to every object X in C a morphism in D such that for every morphism in C, we have ; this means that the following diagram is commutative:
If is any unit vector, the projection of the curl of F onto is defined to be the limiting value of a closed line integral in a plane orthogonal to as the path used in the integral becomes infinitesimally close to the point, divided by the area enclosed.
If certain coordinate systems are used, for instance, polar-toroidal coordinates ( common in plasma physics ) using the notation ∇ × F will yield an incorrect result.
If φ is a scalar valued function and F is a vector field, then
If F is clear from context then Ω < sub > F </ sub > may be denoted simply Ω, although different prefix-free universal computable functions lead to different values of Ω.
If we assume the controller C, the plant P, and the sensor F are linear and time-invariant ( i. e., elements of their transfer function C ( s ), P ( s ), and F ( s ) do not depend on time ), the systems above can be analysed using the Laplace transform on the variables.
If F ( r ) represents gravity, it is a negative term proportional to 1 / r < sup > 2 </ sup >, so the net acceleration in r in the rotating frame depends on a difference of reciprocal square and reciprocal cube terms, which are in balance in a circular orbit but otherwise typically not.
If a vector field F with zero divergence is defined on a ball in R < sup > 3 </ sup >, then there exists some vector field G on the ball with F = curl ( G ).
If only layer C changes, we should find a way to avoid re-blending all of the layers when computing F. Without any special considerations, four full-image blends would need to occur.

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