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Page "Quadratic residue" ¶ 59
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Some Related Sentences

There and is
`` There isn't anything left to say, is there, Keith ''??
There was a measure of protection in its concrete walls and ceiling, but the engineers who hastily installed it were well aware that concrete is not much better than prayer, if as efficacious, when a direct hit comes along.
There is nothing for you '', Matsuo said.
There is much truth in both these charges, and not many Bourbons deny them.
There is unceasing pressure, but its sources are immediate.
There is little time for the men in the command centers to reflect about the implications of these clocks.
There is no room for error or waste.
There is a New South emerging, a South losing the folksy traditions of an agrarian society with the rapidity of an avalanche -- especially within recent decades.
There is a haunting resemblance between the notion of cause in Copernicus and in Freud.
There is still the remote possibility of planetoid collision.
There is the unexplainable, and there art raises questions that it does not attempt to answer ''.
There is nothing holy in wedlock.
There is no more `` plot '' than that ; ;
There is a legend ( Hawthorne records it in his `` English Notebooks ''.
It consists of fragmentary personal revelations, such as `` The Spark '': `` There is a spark dwells deep within my soul.
There is only one catch to this idyllic arrangement: Adam Smith was wrong.
Harris J. Griston, in Shaking The Dust From Shakespeare ( 216 ), writes: `` There is not a word spoken by Shylock which one would expect from a real Jew ''.
There is no justification for such misrepresentation.
There is no socially existential answer to the question.
There is no selectivity ; ;
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 no necessity, I suppose, to assert that Mr. Faulkner is Southern.
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 may be a case of this sort, but it is not one we wish to argue, here.

There and generalization
There is a natural way to associate a site to an ordinary topological space, and Grothendieck's theory is loosely regarded as a generalization of classical topology.
There are several algorithms that identify noisy training examples and removing the suspected noisy training examples prior to training has decreased generalization error with statistical significance.
There is a generalization of the law to numbers expressed in other bases ( for example, base 16 ), and also a generalization to second digits and later digits.
There is also an infinite-dimensional generalization in terms of projection-valued measures.
There are reasons for believing that he was mistaken, and that the forms remain equivalent even under that extreme generalization of and ; but the point is this: it is not a question of conventional definition and formal truth ; it is a question of objective definition and real truth.
There are two variations of this generalization.
Affine geometry can be viewed as the geometry of affine space, of a given dimension n, coordinatized over a field K. There is also ( in two dimensions ) a combinatorial generalization of coordinatized affine space, as developed in synthetic finite geometry.
There are also a number other closely related theorems: an equivalent formulation of this theorem using line bundles and a generalization of the theorem to algebraic curves.
There is a dual theory, group homology, and a generalization to non-abelian coefficients.
There is a generalization of the theory of Chern classes, where ordinary cohomology is replaced with a generalized cohomology theory.
There is also a symmetric generalization of the cyclotomic identity found by Strehl:
There is however another generalization of directional derivatives which is canonical: the Lie derivative.
There is a common generalization of the homotopy lifting property and the homotopy extension property.
There is a generalization of this concept to cover Poincaré covariance and Poincaré invariance.
There is a tendency to flowing contour and a generalization of form.
There exists a slight generalization of Kummer theory which deals with abelian extensions with Galois group of exponent n, and an analogous statement is true in this context.
There is an opinion that an MIPT specialist / Master's diploma may be roughly equivalent to an American Ph. D. in physics — possibly an undue generalization which, however, may be true in some cases.
There are alternative generalization in L-theory: the signature can be interpreted as the 4k-dimensional ( simply-connected ) symmetric L-group or as the 4k-dimensional quadratic L-group and these invariants do not always vanish for other dimensions.
There is a generalization of the small-load equation dealing with this problem.
There is more than one possible generalization.
There is a generalization of the ring extension case with ring morphisms.
There is no natural generalization to more than three players which divides the cake without extra cuts.

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