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If and form
If we look at recent art we find it preoccupied with form.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If there are any major restrictions, they usually can be obtained in printed form.
If cell Af has not previously been assigned as the information cell of a form in the text-form list, it is now assigned as the information cell of Af.
If Af was assigned as the information cell for Af, the routine can detect that Af is identical to Af by comparing Af with the form stored at location Af.
If each text form is marked when matched with a dictionary form, the text forms not contained in the dictionary can be identified when all dictionary forms have been read.
If cell Af is an information cell, it and any information cells in the Y-region that have been linked to Af each contain an address in the W-region where a potentially matching form is stored.
If cell Af is not an information cell we conclude that the i-th dictionary form is not in the text list.
If a litigant chooses to enforce a Federal right in a State court, he cannot be heard to object if he is treated exactly as are plaintiffs who press like claims arising under State law with regard to the form in which the claim must be stated -- the particularity, for instance, with which a cause of action must be described.
If communication with an entity on the `` other side '' is taking place, this too may assume the form of clairvoyant symbolism.
If the content of faith is to be presented today in a form that can be `` understanded of the people '' -- and this, it must not be forgotten, is one of the goals of the perennial theological task -- there is no other choice but to abandon completely a mythological manner of representation.
If this aspect of death as punishment is not distinguished from the idea of death as natural termination, the conclusion seems inevitable that temporal existence itself is a form of punishment rather than the state into which man is put by the will of the Creator.
If the automorphisms of an object X form a set ( instead of a proper class ), then they form a group under composition of morphisms.
If its molecular form is changed, a tolerogen can become an immunogen.
If an otherwise perfect wavefront is " aberrated " by piston and tilt, it will still form a perfect, aberration-free image, only shifted to a different position.
If nature cannot err, then there are no paradoxes in it ; to Hobbes, the paradox is a form of the absurd, which is inconsistency: " Natural sense and imagination, are not subject to absurdity " and " For error is but a deception ...
" If the remainder of the Conservative Party could muster the electoral support necessary to form a government, then Disraeli was now guaranteed high office.
If the joining of monomers takes place at such a carbon atom, the free hydroxy group of the pyranose or furanose form is exchanged with an OH-side-chain of another sugar, yielding a full acetal.
If BCG is accidentally given subcutaneously, then a local abscess may form ( a BCG-oma ) that can sometimes ulcerate, and may require treatment with antibiotics.
* Indicative conditional, a conditional in the form of " If A then B " in natural languages
If and, then this abbreviated form is written in Leibniz notation as:
If n ≥ 1 and is an integer, the numbers coprime to n, taken modulo n, form a group with multiplication as operation ; it is written as ( Z / nZ )< sup >×</ sup > or Z < sub > n </ sub >< sup >*</ sup >.
If a main-sequence star is not too massive ( less than approximately 8 solar masses ), it will eventually shed enough mass to form a white dwarf having mass below the Chandrasekhar limit, which will consist of the former core of the star.

If and identity
If Arthur Williams was involved in the fraud or the murder, then he too had another identity.
If the replica had all the same experiences, traits, and physical appearances of the first person, we would all attribute the same identity to the second, according to Hick.
If the norm of a Banach space satisfies this identity, the associated inner product which makes it into a Hilbert space is given by the polarization identity.
If X is a real Banach space, then the polarization identity is
If a pope dies before revealing the identity of an in pectore cardinal, the cardinalate expires.
If in the third identity we take H = G, we get that the set of commutators is stable under any endomorphism of G. This is in fact a generalization of the second identity, since we can take f to be the conjugation automorphism.
Linear Diophantine equations take the form ax + by = c. If c is the greatest common divisor of a and b then this is Bézout's identity, and the equation has an infinite number of solutions.
If G = GL < sub >*</ sub >( K ), then the set of natural numbers is a proper subset of G < sub > 0 </ sub >, since for each natural number n, there is a corresponding identity matrix of dimension n. G ( m, n ) is empty unless m = n, in which case it is the set of all nxn invertible matrices.
If we think of composition as a kind of multiplication of functions, this identity says that the inverse of a function is analogous to a multiplicative inverse.
Then an element e of S is called a left identity if e * a = a for all a in S, and a right identity if a * e = a for all a in S. If e is both a left identity and a right identity, then it is called a two-sided identity, or simply an identity.
* If a is idempotent in the ring R, then aRa is again a ring, with multiplicative identity a.
If a is a central idempotent, then the corner ring is a ring with multiplicative identity a.
If R is the direct sum of the rings R < sub > 1 </ sub >,..., R < sub > n </ sub >, then the identity elements of the rings R < sub > i </ sub > are central idempotents in R, pairwise orthogonal, and their sum is 1.
If a is an idempotent of the endomorphism ring End < sub > R </ sub >( M ), then the endomorphism is an R module involution of M. That is, f is an R homomorphism such that f < sup > 2 </ sup > is the identity endomorphism of M.
If we understand the names, we should understand the information they carry, namely the identity of their bearers, and if we grasp their identity, we should understand automatically whether the statement is true or false.
In particular, if S and T ( subgroups now ) intersect only in the identity, then every element of ST has a unique expression as a product st with s in S and t in T. If S and T also permute, then ST is a group, and is called a Zappa-Szep product.
Zahi Hawass, the former chief of Egypt's Supreme Council of Antiquities, asked that the stele be repatriated to Egypt, urging in comments to reporters: " If the British want to be remembered, if they want to restore their reputation, they should volunteer to return the Rosetta Stone because it is the icon of our Egyptian identity ".

If and card
If a continuation card follows a statement that does not permit continuation cards, the compiler will generate a NOP and issue an error message.
If the dealer's upcard is an ace, the player is offered the option of taking " insurance " before the dealer checks the hole card.
If there is a sense in which a card game can have an " official " set of rules, it is when that card game has an " official " governing body.
If it destroyed by another cards effect, you may add another " Nordic Relic " card to your hand.
If a player has three of a kind and several other players have drawn new cards, one strategy is to draw only one card.
If an unauthorized party obtains the card number in any way, a breach of confidentiality has occurred.
If we assemble a deck of 52 playing cards with no jokers, and draw a single card from the deck, then the sample space is a 52-element set, as each card is a possible outcome.
If the opponent is on a flush draw ( 9 / 46, approximately 19. 565 percent or 4. 11-to-1 odds against with one card to come ), the pot is not offering adequate pot odds for the opponent to call unless the opponent thinks he can induce additional final round betting from Bob if the opponent completes his flush draw ( see implied pot odds ).
* If splitting a pot because of tied hands, award the odd chip to the hand that contains the highest-ranking single card, using suits to break ties if necessary ( clubs ranking the lowest, followed by diamonds, hearts, and spades as in bridge ).
* If two cards are drawn with replacement from a deck of cards, the event of drawing a red card on the first trial and that of drawing a red card on the second trial are independent.
* If the notrump bidder bids 2, denying a 4-card major, responder may bid his 5 card major with a call of 2 of his major with 8-9 HCP, or with a call of 3 of his major with 10 HCP.
If not conducted properly, this method can be vulnerable to sensory leakage and card counting.
If the network interface is a plug-in card rather than being integrated into the motherboard, the card may need to be connected to the motherboard by an additional cable.
If either player turns up such a card, his opponent has to pay a penalty: four cards for an ace, three for a King, two for a Queen, or one for a Jack.
* If the two cards are of equal value, a third card is dealt.
If the third card is of the same value, then the payout for the player is 11: 1, otherwise the hand is a push.
* If neither of the above is the case ( for example, a three and an eight ), then a spread is announced which determines the payoff ( a 4-card spread, in this example ), and a third card will be dealt.
If the two cards played are of equal value, each player lays down three face-down cards and picks one of the cards out of the three ( a " war "), and the higher-valued card wins all of the cards on the table, which are then added to the bottom of the player's stack.
If a player runs out of cards while dealing the face-down cards of a war, he may play the last card in his deck as his face-up card and still have a chance to stay in the game.
If the player has no cards he can play, he must instead draw a new card from the top of the stack and, in some variants, say something such as " Pass ", " Penalty Card " or knock on the table to indicate inability to play a card.

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