Help


[permalink] [id link]
+
Page "Martin's axiom" ¶ 7
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Then and there
Then the darkness thinned, and there was light again, and then bright sunlight.
Then there was no saying how many times the marine had blown his nose on the handkerchief.
Then, on July 2, there occurred another incident which set tongues to wagging at a furious clip.
Then suddenly there was a tremendous revulsion of popular feeling.
Then there were the distinguished foreign volunteers.
Then there was Mark Howe and there was Henry Dwight Sedgwick, an accomplished man of letters who wrote in the spirit of Montaigne and produced in the end a formidable body of work.
Then, all but blind, he said there was nothing in Back to Methuselah --, -- `` G.B.S. ought to have known that '', -- and `` I look at my bookshelves despairingly, knowing that I can have nothing more to do with them ''.
Then there had been the auction itself.
Then, of course, there are those of us who either do not want or need or cannot afford another car.
Then there was the caterer's ad which read: `` are you getting married or having an affair??
Then there was the General kissing his wife.
Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.
Then there are the trustees and officers of the great educational foundations, who inevitably exert an influence on educational decisions by their support or refusal to support various educational programs, experiments, and demonstrations.
Then we drove on, until there was no more road and we traversed dry rice fields, bouncing across their squat earth walls.
Then, with the new affluence, there is actually a sallying forth into the wide, wide world beyond the precincts of New York.
Then there was a chorus of wild barking and baying.
Then there was another sound.
Then on Monday morning -- or it might have to be Tuesday -- get up and leave just the usual time, and last thing, put the money in an envelope under the old woman's purse there in the drawer.
Then Dick Hyde, submarine-ball hurler, entered the contest and only five batters needed to face him before there existed a 3-to-3 deadlock.
Then there is a matchmaker, one Mikeen Flynn, a role for which Eddie Foy was happily selected.
Then there are a pair of old biddies played by Grace Carney and Sibly Bowan who may be right off the shelf of stock Irish characters, but they put such a combination of good will and malevolence into their parts that they're quite entertaining.
Then there was a bad delay in getting Mort Lindsey's 30-piece orchestra wedged into its chairs.
Then there was exercise, boating and hiking, which was not only good for you but also made you more virile: the thought of strenuous activity left him exhausted.
Then there was a spat over something, as there had been lovers' spats before ; ;

Then and is
Then he would get to his feet, as though rising in honor of his own remarkable powers, and say almost invariably, `` Gentlemen, this is an amazing story!!
Then, Jesus indicated that God's forgiveness is unlimited.
Certainly, the meaning is clearer to one who is not familiar with Biblical teachings, in the New English Bible which reads: `` Then Jesus arrived at Jordan from Galilee, and he came to John to be baptized by him.
Then it added: `` It is not possible to determine how extensive these ill effects will be -- nor how many people will be affected ''.
Then the words fell into a pattern: `` Mollie the Mutton is scratching her nose, Scratching her nose in the rain.
Then he thought of Aaron Blaustein standing in his rich house saying: `` God is tired of taking the blame.
Then it is marked on the inside where it comes in contact with the transom, frames, keelson and all the battens.
Then it is replaced and fastened.
Then the chines are rounded off and the bottom is rough-sanded in preparation.
Then, a group of eggs is deposited in a cavity in the beebread loaf and the egg compartment is closed.
Then in 2 we show that any line involution with the properties that ( A ) It has no complex of invariant lines, and ( B ) Its singular lines form a complex consisting exclusively of the lines which meet a twisted curve, is necessarily of the type discussed in 1.
Then, too, the utmost clinical flexibility is necessary in judiciously combining carefully timed family-oriented home visits, single and group office interviews, and appropriate telephone follow-up calls, if the worker is to be genuinely accessible and if the predicted unhealthy outcome is to be actually averted in accordance with the principles of preventive intervention.
Then the editorial added prophetically: `` how far they may reach in Asia is yet undetermined, but they fall far short of our dreams of the war conferences ''.
Then she catapults into `` everything and everybody '', putting particular violence on `` everybody '', indicating to the linguist that this is a spot to flag -- that is, it is not congruent to the patient's general style of speech up to this point.
Then comes the time when the last wire is removed and Susie walks out a healthier and more attractive girl than when she first went to the orthodontist.
Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;

Then and homomorphism
Then is a derivation and is linear, i. e., and, and a Lie algebra homomorphism, i. e.,, but it is not always an algebra homomorphism, i. e. the identity does not hold in general.
Then ƒ is a homomorphism of rings, since ƒ preserves both addition:
Then ƒ is a homomorphism of groups, since it preserves multiplication:
Then the assignment extends uniquely to an algebra homomorphism by sending the monomial in the Clifford algebra to the product of matrices and extending linearly.
Then the functions may be added pointwise to produce a group homomorphism.
Then one finds a free module F < sub > 2 </ sub > and a surjective homomorphism p < sub > 2 </ sub >: F < sub > 2 </ sub > → ker ( p < sub > 1 </ sub >).
Then, diagrams 1 and 3 say that Δ: B → B ⊗ B is a homomorphism of unital ( associative ) algebras ( B, ∇, η ) and ( B ⊗ B, ∇< sub > 2 </ sub >, η < sub > 2 </ sub >)
Then, there exists a unique isomorphism g from onto such that g composed with the natural homomorphism induced by equals h.
Then f is either zero, or the first nonzero term in its power series expansion is for some non-negative integer h, called the height of the homomorphism f. The height of the zero homomorphism is defined to be ∞.
Then there exists an R-algebra B < sub > R </ sub > that is a balanced big Cohen-Macaulay algebra for R, an S-algebra B < sub > S </ sub > that is a balanced big Cohen-Macaulay algebra for S, and a homomorphism B < sub > R </ sub > → B < sub > S </ sub > such that the natural square given by these maps commutes.
Then, for a homomorphism, is an arc of if is an arc of.
Examples of non-closed subgroups are plentiful ; for example take G to be a torus of dimension ≥ 2, and let H be a one-parameter subgroup of irrational slope, i. e. one that winds around in G. Then there is a Lie group homomorphism φ: R → G with H as its image.
Then there exists a composition series with infinite cyclic factors, which induces a bijection ( not though necessarily a homomorphism ).
Then every map of the generators of extends to a homomorphism
Then, for any additive function χ: R-mod → X, there is a unique group homomorphism f: G < sub > 0 </ sub >( R ) → X such that χ factors through f and the map that takes each object of to the element representing its isomorphism class in G < sub > 0 </ sub >( R ).
Then there exists a field homomorphism h: F → C such that h ( e ( x ))= exp ( h ( x )) for all x in F.
On the other hand, if we take the affine scheme, it has a natural morphism to given by the ring homomorphism Then this morphism is a finite morphism.
Then, the induced homomorphism

0.378 seconds.