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We say that the metric has approximate midpoints if for any and any pair of points and in there exists in such that and are both smaller than
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We and say
`` We think the governor treated us rather shabbily, to say the least of it.
We often say of a person that he `` looks young for his age '' or `` old for his age ''.
We may say of some unfortunates that they were never young.
We cannot truthfully say of anyone who has succeeded in entering deep into his sixties that he was never old.
We sympathize with Mr. Kennedy, but we feel bound to say that his budget review doesn't please us either, although for very different reasons.
We couldn't be seen together, for the tongue of Scandal was ever ready to link our names, and the tongue of Scandal finds but one thing to say of the association of a man with a girl, no matter how innocent.
We say that N is nilpotent if there is some positive integer R such that Af.
We may say that his problem was diagnosed but that he refused treatment.
We may say that his attitude was foolish, since he may have been a success had he learned some human relations skills ; ;
We should say that we made our point with feeling the first time and little or no feeling the second time, but that it was the same point we were making.
We may carry this sequence one step further and say that at seventy he was a poet at the height of his powers, wanting only the impetus of two tragedies, one personal, the other national, to loose those powers in poetry.
`` We worry '', say the mothers.
We have to tell ourselves that when Parker spoke in this vein, he believed what he said, because he could continue, `` But the truth, which cost me bitter tears to say, I must speak, though it cost other tears hotter than fire ''.
We do not say that a man who takes no interest in politics is a man who minds his own business ; we say that he has no business here at all.
We say A is unital if it contains an element 1 such that
We can say that that relation has being as well.
We say we want to see put on the statute book something which will make our people citizens of the world before they are citizens of this country ".
We might not see any rotation initially, but if we closely look at the right, we see a larger field at, say, x = 4 than at x = 3.
We say that the mutation is recessive because the organism will exhibit the wild type phenotype ( ordinary trait ) unless both chromosomes of a pair have the mutation ( homozygous mutation ).
We say that f is a diffeomorphism if it is bijective, smooth, and if its inverse is smooth.
We can distort a dual polyhedron such that it can no longer be obtained by reciprocating the original in any sphere ; in this case we can say that the two polyhedra are still topologically dual.
We have to also say how to add their elements.
We can use it as basis to say, " a < b " and " b > a ", two judgments which designate the same state of affairs.
: “ We say that it origin of the traditions is polar, and the pole is nomore Western than it is Eastern.
We and metric
Consider a function from a metric space M to a topological space V, and a point c of M. We direct the set M
We now discuss theories in which, in addition, a metric is defined.
We easily see that this metric is conformally equivalent to a flat half-space Minkowski spacetime.
We define a new metric on, known as the induced intrinsic metric, as follows:
We will proceed to apply Banach fixed point theorem using the metric on induced by the uniform norm
We can describe geometries in general relativity in terms of a tetrad field instead of the usual metric tensor field.
We are using the +−−− metric signature here.
We use the Minkowski metric in the rest of this article.
We and has
We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.
`` We were possessed by visions of a new civilization to come, very pure and elevated '', he has said, `` in fact some ideal form of socialism such as we had dreamed of since the war of 1914-1918 ''.
We note that, first, America has already made great contributions in the past two years to the world's fund of knowledge of astrophysics and space science.
We therefore leave the writer to the enjoyment of the unenvied reputation which the personal abuse he has heaped on us will entitle him to from the low and vulgar herd to which he belongs ''.
We have only to compare the liberty and high standard of living we enjoy in this great country with the oppression and frugality of other nations to realize with humble gratitude that God's Providence has been with us since the very beginning of our country.
We cannot regard foreign policy as something left over after defense policy or trade policy or fiscal policy has been extracted.
`` We have over 20 divisions -- each of which has an engineering department headed by a chief engineer.
We also have an ' engineering section head -- research engineer ' classification which has salary possibilities equivalent to that of a research engineer.
We now have not only what has been called over here the comedy of menace but we also have horror jokes, magazines known as Horror Comics, and sick comedians.
We devote a chapter to the binomial distribution not only because it is a mathematical model for an enormous variety of real life phenomena, but also because it has important properties that recur in many other probability models.
We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.
We should expect that general phonologic theory should be as adequate for tone as for consonants and vowels, but it has not been.
We come upon a rabbit that has been caught in one of the brutal traps in common use.
We are acutely aware that yours is a society which, in spite of several wars and many privations, has developed itself into one of the foremost nations of the world.
`` Disaffiliation '', by the way, is the term used by the critic and poet, Lawrence Lipton, who has written several articles on this subject, the first of which, in The Nation, quoted as Epigraph: `` We disaffiliate.
We are creative, it seems, when we produce something which has not previously existed.
We are left helpless to cope with it because we do not dare speak of it as anything real for fear that to do so would imply a commitment to that which has already been discredited and proved false.
The President of the United States has said: `` We will never negotiate out of fear, and we will never fear to negotiate ''.
We can all breathe more easily this morning -- more easily and joyously, too -- because Joshua Logan has turned the stage show, `` Fanny '', into a delightful and heart-warming film.
We are often told that the Comedie has, unfortunately, life-contracts with old actors who are both mediocre and lazy, drawing their pay without much acting but probably doing real service to the Comedie by staying off the stage.
`` We regard it as fair only when each party feels that what he has received is as valuable, or more valuable, than what he has given ''.
We never learn anything about her husband, but we do know that she hates alcohol and public appearances, and has a great fondness for apples until she is put off them by the events of Hallowe ' en Party.
We know the compressed gas has V =
0.298 seconds.