If it were not that I knew who it was I could have mistaken it for my Aunt so well did her clothes fit him.

If they do as well as they did in 1960 there can be no complaint.

If the Communists are sincere in wanting a united, neutral and disarmed Germany, it might well be advantageous for the German people in this nuclear age.

If we go into this Common Market, we might just as well stop talking about Constitutional guarantees, Connally Amendments or, for that matter, conservatism in general.

If you don't own a planer and don't want to buy one, it's well worth renting.

Concerning the sentence, Foss wrote, `` If it be possible that mercy shall override vengeance and that John Brown's sentence shall be commuted to imprisonment, it would be well -- well for the country and for Virginia ''.

If this attitude is seriously questioned in the Soviet Union, it does not necessarily follow that the majority of the society in which I live is too aware of the necessity for clarity on this ethical as well as aesthetic point of view.

`` If teeth are moved too rapidly, serious injury can be done to their roots as well as to the surrounding bone holding them in place '', explains Dr. Brodie.

If you are not well acquainted with the area in which you wish to locate, or if you are not sure that you and your family will like and make a success of farming, usually you would do better to rent a place for a year or two before you buy.

If you are considering a part-time farm where the water must be provided by a well, find out if there is a good well on the farm or the probable cost of having one drilled.

If anti-Semitism was on trial in Jerusalem, why was it not identified, and with enough emphasis to capture the notice of the world press, in its connection with the activities of Eichmann's Department of Jewish Affairs, as exemplified by the betrayal and murder of Jews by non-police and non-party anti-Semites in Germany, as well as in Poland, Czechoslovakia, Hungary??

`` If I thought you were serious about going back to school, that you'd learned something from your experiences here and at Hanover -- well, I might consider such an offer.

If Mrs. Black was who he thought she was, Mr. Black's Peerless selling days might well be over.

If the administration does not succeed in passing the sales tax bill, or any other tax bill, it could very well be faced this spring at the fiscal session of the Legislature with an interesting dilemma.

If the Southerners were sufficiently aroused, they could very well cut the Kennedy legislative program to ribbons from their vantage point of committee chairmanships, leaving Sam Rayburn leading a truncated, unworkable party.

If the church has followed the plan of cultivation of prospects and carried through a program of membership preparation as outlined earlier in this book, the process of assimilation and growth will be well under way.

If most of them weren't exactly specific -- well, that's the way it is in life, I guess.

If Mr. Kennan is sometimes a little somber in his appraisals, if his analysis of how Western diplomacy met the challenge of an era of great wars and social revolutions is often critical and pessimistic -- well, the record itself is not too encouraging.

I kept saying, `` If I could just build up a reputation for myself, make some real money, get to be well known as an illustrator -- like Peter Askington, for instance -- then I could take some time off and paint ''.

If the investigation committee spent months digesting the thoughtful food served them at the Laboratory School, they left Helva with a morsel as well.

If the film industry was becoming a director's medium, Woolfson felt the music business might well become a producer's medium.

If each node additionally records the size of its subtree ( including itself and its descendants ), then the nodes can be retrieved by index in O ( log n ) time as well.

If a bubble touches identically-colored bubbles, forming a group of three or more, those bubbles — as well as any bubbles hanging from them — are removed from the field of play, and points are awarded.

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 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.

If the subsets of X in Σ correspond to numbers in elementary algebra, then the two set operations union ( symbol ∪) and intersection (∩) correspond to addition and multiplication.

If X is equipped with the weak topology, then addition and scalar multiplication remain continuous operations, and X is a locally convex topological vector space.

* Suppose & B is equivalent to & D. If we acquire new information A and then acquire further new information B, and update all probabilities each time, the updated probabilities will be the same as if we had first acquired new information C and then acquired further new information D. In view of the fact that multiplication of probabilities can be taken to be ordinary multiplication of real numbers, this becomes a functional equation

If you think of composition as analogous to multiplication, then this says that multiplication by zero always results in a product of zero, which is a familiar intuition.

If one does not require a ring to have a unit, then one has to add the requirement of continuity of the additive inverse, or equivalently, to define the topological ring as a ring which is a topological group ( for +) in which multiplication is continuous, too.

If A is an n × m matrix and B is an m × p matrix, the result AB of their multiplication is an n × p matrix defined only if the number of columns m in A is equal to the number of rows m in B.

If we identify with ( a, b ) then we see that addition and multiplication are given by

If we identify with ( a, b ) then we see that addition and multiplication are given by

If n is a positive integer, the integers between 1 and n − 1 which are coprime to n ( or equivalently, the congruence classes coprime to n ) form a group with multiplication modulo n as the operation ; it is denoted by Z < sub > n </ sub >< sup >×</ sup > and is called the group of units modulo n or the group of primitive classes modulo n. As explained in the article multiplicative group of integers modulo n, this group is cyclic if and only if n is equal to 2, 4, p < sup > k </ sup >, or 2 p < sup > k </ sup > where p < sup > k </ sup > is a power of an odd prime number.

Given the representation of T as a multiplication operator, it is easy to characterize the Borel functional calculus: If h is a bounded real-valued Borel function on R, then h ( T ) is the operator of multiplication by the composition.

If K is only a commutative ring and not a field, then the same process works if A is a free module over K. If it isn't, then the multiplication is still completely determined by its action on a set that spans A ; however, the structure constants can't be specified arbitrarily in this case, and knowing only the structure constants does not specify the algebra up to isomorphism.

If the multiplication is associative, an element x with a multiplicative inverse cannot be a zero divisor ( meaning for some y, xy = 0 with neither x nor y equal to zero ).

If N is a prime number, then the set of non-zero indices n = 1 ,..., N – 1 forms a group under multiplication modulo N. One consequence of the number theory of such groups is that there exists a generator of the group ( sometimes called a primitive root ), an integer g such that n = g < sup > q </ sup > ( mod N ) for any non-zero index n and for a unique q in 0 ,..., N – 2 ( forming a bijection from q to non-zero n ).

If K is not commutative, then the only change is that the order of the multiplication may be reversed, resulting in the distinct operations left scalar multiplication cv and right scalar multiplication vc.

If G is any group, then the set Ch ( G ) of these morphisms forms an abelian group under pointwise multiplication.

If the multiplication is antisymmetric, the Jacobi identity admits two equivalent reformulations.