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Page "Hill cipher" ¶ 38
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Some Related Sentences

There and are
There are plenty of fresh horses halfway at my place.
There are of course many Souths ; ;
There is unceasing pressure, but its sources are immediate.
( There are two receivers in case one should be dropped and damaged.
There are thousands of square miles of salt pan which are hideous.
There are almost no fictional treatments of the industrialized south ''.
There are certainly large areas of understanding in the human sciences which in themselves and even without political invention can help to dispel our present fears.
There are many domains in which understanding has brought about widespread and quite appropriate reduction in ritual and fear.
There are, however, some wonderful chapters at the beginning of the second part, concerning the reactions of the Swedes in adversity.
There are ghostly scenes in which the little boy on his rocking horse rocks madly toward the climax that will magically give him the name of the winning horse.
There is probably some significance in the fact that two of the best incest stories I have encountered in recent years are burlesques of the incest myth.
There is evidence to suggest, in fact, that many authors of the humorous sketches were prompted to write them -- or to make them as indelicate as they are -- by way of protesting against the artificial refinements which had come to dominate the polite letters of the South.
There is essential pleasantness in reading the writing of men who are not angry, who can contend without quarreling.
There are in The Almagest no rules for determining in advance whether a new epicycle will be required for dealing with abberations in lunar, solar, or planetary behavior.
Said: `` There are things I must tell you about this man you are marrying which he does not know himself ''.
There is plenty more to recommend Gorton, the facts of whose life are given in The Life And Times Of Samuel Gorton, by Adelos Gorton.
There are millions who accept this doctrine, but few indeed are those who accept it so truly that the fate of humanity lies as a weight on their souls night and day.
There are some people, intelligent people, who seem to be untouched by the sea of wonder in which we are immersed and in which we spend our lives.
There are few things of which I am prouder than of that unblemished record.
There are only two men remaining in Congress who, with Rayburn, voted for the declaration of war against Germany in 1917.
There are many causes for this change.

There and matrices
There is an interesting story involving random matrices.
He also realized the connection between matrices and determinants, and wrote " There would be many things to say about this theory of matrices which should, it seems to me, precede the theory of determinants ".
There are different generalisations of the concept of rank to matrices over arbitrary rings.
There is no standard terminology for these matrices.
There are three basic matrices.
There are other ways to multiply two matrices, in fact simpler than the definition above.
There are several different definitions and types of stochastic matrices ;
where M is n × p, Ω is p × p and Σ is n × n. There are several ways to define the two covariance matrices.
There are two types of weight matrices.
* There is a one-to-one correspondence between the two-sided ideals of M < sub > n </ sub >( R ) and the two-sided ideals of R. Namely, for each ideal I of R, the set of all n × n matrices with entries in I is an ideal of M < sub > n </ sub >( R ), and each ideal of M < sub > n </ sub >( R ) arises in this way.
There are 5 inequivalent matrices of order 16, 3 of order 20, 60 of order 24, and 487 of order 28.
There are counterexamples to show that the Golden – Thompson inequality cannot be extended to three matrices ( and in any event, tr ( exp ( A ) exp ( B ) exp ( C )) is not guaranteed to be real for Hermitian A, B, C ).
There is an alternative expression of transformation matrices involving row vectors that is preferred by some authors.
There are three forms within these matrices.
There is another essential difference between Monotype and all the " slug "- producing machines: a monotype-machine can function with a minimal set of matrices: each character needed one matrix.
There are other algorithms, such as the Arnoldi iteration, which may do better for certain classes of matrices ; we will not consider this further here.
There are a variety of platforms used to facilitate the growth of 3 dimensional cellular structures such as nanoparticle facilitated magnetic levitation, gel matrices scaffolds, and hanging drop plates.
There is also another algebraic-like approach to graph rewriting, based mainly on Boolean algebra and an algebra of matrices, called matrix graph grammars.
There are, of course, a total of nine possibilities using scalars, vectors, and matrices.
There are n − 1 generators w < sub > i </ sub >, represented by the matrices obtained by swapping two adjacent rows of a diagonal matrix
There is another algebra of matrices which is isomorphic to, and is often easier to work with.

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