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Page "Existence" ¶ 12
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If and neither
If you have neither a legal residence nor a principal place of business in any Internal Revenue district, your return should be filed with the District Director of Internal Revenue, Baltimore 2, Md..
Thus the view from Whitehall early in 1916: If defeat was not imminent, neither was victory ; and the outcome of the war of attrition on the Western Front could not be predicted.
If a simply stable system response neither decays nor grows over time, and has no oscillations, it is marginally stable: in this case the system transfer function has non-repeated poles at complex plane origin ( i. e. their real and complex component is zero in the continuous time case ).
If a criminal were truly aware of the mental and spiritual consequences of his actions, he would neither commit nor even consider committing those actions.
If there come any unto you, and bring not this doctrine, receive him not into your house residence or abode, or " inmates of the house " ( family ), neither bid him God speed: for he that biddeth him God speed is partaker of his evil deeds.
If the firm is a perfect competitor in all input markets, and thus the per-unit prices of all its inputs are unaffected by how much of the inputs the firm purchases, then it can be shown that at a particular level of output, the firm has economies of scale if and only if it has increasing returns to scale, has diseconomies of scale if and only if it has decreasing returns to scale, and has neither economies nor diseconomies of scale if it has constant returns to scale.
If one concept is defined by another, and the other is defined by the first, this is known as circular definition, somewhat similar to a circular reasoning: neither offers us any enlightenment about what we wanted to know.
If a laser is swept across a distant object, the spot of laser light can easily be made to move across the object at a speed greater than c. Similarly, a shadow projected onto a distant object can be made to move across the object faster than c. In neither case does the light travel from the source to the object faster than c, nor does any information travel faster than light.
If the galaxies are of similar size, the resultant galaxy will appear similar to neither of the two galaxies merging, but would instead be an elliptical galaxy.
If the group is neither abelian nor compact, no general satisfactory theory is currently known.
( If neither is the case, then a weighted harmonic mean or weighted arithmetic mean is needed.
If ( B ) is neither true nor false, then it must be not true.
If a definite statement is believed plausible by some mathematicians but has been neither proved nor disproved, it is called a conjecture, as opposed to an ultimate goal: a theorem that has been proved.
#* Proof: Then so Thus However, is prime, so or In the former case, hence ( which is a contradiction, as neither 1 nor 0 is prime ) or In the latter case, or If however, which is not prime.
If the request for plea bargain is accepted by the court, the accused stands convicted but neither is sentenced if in trial nor undergoes any sentence previously pronounced by a lower court if in appeal.
If the pole breaks during the execution of a vault, it is considered an equipment failure and is ruled a non-jump, neither a make nor a miss.
If only one of his hands beats the banker then he pushes ( ties ) in which case neither he nor the banker wins the bet.
If a person elected prime minister is neither a member of the Lok Sabha nor Rajya Sabha, then he must become a member of the Lok Sabha or Rajya Sabha within six months.
If P is justified, then another belief Q may be justified by P. If P is not justified, then P cannot be a justifier for any other belief: neither for Q, nor for Qs negation.
If neither player had won by the tenth turn, subsequent turns consisted of moving one of one's own tokens to the remaining empty hole, with the constraint that this move could only be from an adjacent hole.
If the person has been made to stand then that person has no lap and neither of the statements " the person's lap is empty " and " there is something on the person's lap " is true.
If neither player can achieve this, the game is a draw.
: If one were to print only two or three copies, this method would be neither simple nor easy.

If and nor
If the daughter is an only child or her sisters are deceased and have no living issue, she ( or her heir ) is vested with the title ; otherwise, since a peerage cannot be shared nor divided, the dignity goes into abeyance between the sisters or their heirs, and is held by no one.
If liberty is taken to mean " the ability to exercise one's rights as provided for by the law and nature " then this is true, but if it means " the state when one is not held to nor required to perform anything against their will " then this is clearly false.
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.
However this did not make Reynolds happy, as he wrote to Boswell: " If I had known what a shabby miserable place it is, I would not have asked for it ; besides as things have turned out I think a certain person is not worth speaking to, nor speaking of ", presumably meaning the King.
If it were different, states would not have the right, nor be in a position, to maintain that minimum of order on which all civilized life rests .” Calling the concept a “ red herring ” he stated: “ This argument has been used by the terrorists themselves, arguing that there is no difference between their activities and those by governments and states.
As early as 1892, he wrote: " If I had not made magic my constant study I could not have written a single word of my Blake book, nor would The Countess Kathleen ever have come to exist.
If the ship as a result of capture and utilization of 4 hydrogen atoms is nor accelerated or slowed down, then the momentum lost during their capture is equal to the momentum gained from the release of the helium atom from the nozzle:
If the drugs were more affordable these people would not need to commit these “ secondary ” crimes such as burglary and theft, nor would it be as profitable for large criminal organizations.

If and B
If A is the major axis of an ellipsoid and B and C are the other two axes, the radius of curvature in the ab plane at the end of the axis Af, and the difference in pressure along the A and B axes is Af.
If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.
** 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 valid element indices begin at 0, the constant B is simply the address of the first element of the array.
If the numbering does not start at 0, the constant B may not be the address of any element.
If the minimum legal value for every index is 0, then B is the address of the element whose indices are all zero.
If X and Y are Banach spaces over the same ground field K, the set of all continuous K-linear maps T: X → Y is denoted by B ( X, Y ).
If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.
If and we have for all v, w in V, then we say that B is symmetric.
In addition to acting and occasionally directing, Campbell has become a writer, starting with an autobiography, If Chins Could Kill: Confessions of a B Movie Actor published on August 24, 2002.
If the sets A and B are equal, this is denoted symbolically as A = B ( as usual ).
If the convention B < sub > 1 </ sub >=− is used, this sequence is also known as the first Bernoulli numbers ( / in OEIS ); with the convention B < sub > 1 </ sub >=+ is known as the second Bernoulli numbers ( / in OEIS ).
* Indicative conditional, a conditional in the form of " If A then B " in natural languages
If an atom A is double-bonded to an atom B, A is treated as being singly bonded to two atoms: B and a ghost atom that has the same atomic number as B but is not attached to anything except A.
If the ideals A and B of R are coprime, then AB = AB ; 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 A admits a totally ordered cofinal subset, then we can find a subset B which is well-ordered and cofinal in A.
If two cofinal subsets of B have minimal cardinality ( i. e. their cardinality is the cofinality of B ), then they are order isomorphic to each other.

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