Then Little Billy began shouting orders to round up the ponies and fill the water buckets and for the cooks to hurry up with the meal.

Then, helpfully, as she merely stared at him in weary silence, `` Maybe you could write it down for me, huh??

Then they were tumbling again, and the big man reached into the same pocket he had gone for earlier, and came up with a vicious switchblade.

`` Then I return to the United States for engagements at the Hollywood Bowl and in Philadelphia '', he added.

Then Miriam varied the senseless psychological warfare by suddenly withdrawing a suit for separate maintenance that had been pending, and asking for divorce on the grounds of cruelty, with the understanding that Wright would not contest it.

My own stern hand has rent the ancient bond, And thereof shall the ending not have end: But not for me, that loved her, to be fond Lightly to please me with a newer friend Then hold it more than bravest-feathered song, That I affirm to thee, with heart of pride, I knew not what did to a friend belong Till I stood up, true friend, by thy true side ; ;

Then Meltzer's voice, quiet, calm, strong, started the Kaddish, the prayer for the dead.

Then they returned to their hotel and got ready for bed.

Then he kept Blackman awake for more than an hour while he did an imaginary dialogue between his wife and himself in which, discussing the evening, he was continually berated.

Then we have surviving at least one instance of a poem prepared for another, in Naturam non Pati Senium, and perhaps also the De Idea Platonica.

Then followed a period in which he wrote reviews for The New York Times Book Review, The Commonweal, Commentary, had a small piece in Partisan Review, and moved on to Hudson, The Village Voice, and Exodus.

Then a full-time planning office will be established in Rome to work with a five-member Georgia Tech research staff for development of an area planning and industrial development program.

Then Goodbody will hand over a minimum of $15.5 million for developing the spacious Graves Tract to house the center.

Then, to conclude on an indeterminate note: `` Nevertheless, if fallout increased substantially, or remained high for a long time, it would become far more important as a potential health hazard in this country and throughout the world ''.

Then, abandoning the studies in the face of their promising outlook for all concerned, B. & O. entered on-again-off-again negotiations with C. & O. which resulted in the present situation.

Then they were given 1/2 to 1-1/2 avocados per day as a substitute for part of their dietary fat consumption.

Then, after emasculation, he was eased up for a couple of weeks.

Then you'll want terry cloth towels for mopping up.

Then, for the above parasites, feed continuously at these levels: Feeder cattle -- 2-5 grams of phenothiazine daily ; ;

Then, too, European drivers have reputations for being somewhat crazy on the road and some Americans are not particularly keen on getting mixed up with them.

Then, for the first time since his arrest, a glint of spirit lit Barco's eyes.

Then, I remembered that the girls had had a banana for dessert every day for the last week.

Then, having wrapped the lot in an afghan my dog customarily slept on, you lammed out the front door, considerately leaving it open for neighbors to discover.

Then the null set automatically has measure zero because of countable additivity, because and is finite if and only if the empty set has measure zero.

Then there exists a finite set of integer coefficients satisfying the equation:

Then there are a finite number of open sets, that are left invariant by and are such that:

Then is an open cover of S, but any finite subcollection of has the form of C discussed previously, and thus cannot be an open subcover of S. This contradicts the compactness of S. Hence, every accumulation point of S is in S, so S is closed.

Theorem: Let R be a Dedekind domain with fraction field K. Let L be a finite degree field extension of K and denote by S the integral closure of R in L. Then S is itself a Dedekind domain.

Then we could define, which grows much faster than any for finite k ( here ω is the first infinite ordinal number, representing the limit of all finite numbers k ).

Then, a tail event is an event whose occurrence or failure is determined by the values of these random variables but which is probabilistically independent of each finite subset of these random variables.

Then a representation of Q is just a covariant functor from this category to the category of finite dimensional vector spaces.

1 ) Let L be a finite extension of k of degree s. Then ( Spec L ) = Spec ( k ) and

For example, let P be an irreducible polynomial with integer coefficients and p be a prime number which does not divides the leading coefficient of P. Let Q be the polynomial over the finite field with p elements, which is obtained by reducing modulo p the coefficients of P. Then, if Q is separable ( which is the case for every p but a finite number ) then the degrees of the irreducible factors of Q are the lengths of the cycles of some permutation of the Galois group of P.

Then the collection has the finite intersection property ( fip ), if any finite subcollection has non-empty intersection

Then Q (√ d ) is a finite extension of Q, called a quadratic extension.

Then the index is defined as dim ( ker ( D ))- dim ( ker ( D *)), and by ellipticity is always finite.

Let 0 → G < sub > n </ sub > → … → G < sub > 0 </ sub > → 0 denote a finite complex of free R-modules such that H < sub > i </ sub >( G < sub >•</ sub >) has finite length for i > 0 and H < sub > 0 </ sub >( G < sub >•</ sub >) has a minimal generator that is killed by a power of the maximal ideal of R. Then dim R ≤ n.

Then the sample average estimator, of, is unbiased and have variance, where is supposed to be finite.

Indeed, let K be an imaginary quadratic field with class field H. Let E be an elliptic curve with complex multiplication by the integers of K, defined over H. Then the maximal abelian extension of K is generated by the x-coordinates of the points of finite order on some Weierstrass model for E over H.

Then F is finite type, finite presentation, or locally free of rank n if and only if G has the corresponding property .< ref > EGA IV < sub > 2 </ sub >, Proposition 2. 5. 2 .</ ref >

# Let be a scheme of finite type over C. Then there is a topological space X < sup > an </ sup > which as a set consists of the closed points of X with a continuous inclusion map λ < sub > X </ sub >: X < sup > an </ sup > → X.

# Suppose φ: X → Y is a morphism of schemes of locally finite type over C. Then there exists a continuous map φ < sup > an </ sup >: X < sup > an </ sup > → Y < sup > an </ sup > such λ < sub > Y </ sub > ° φ < sup > an </ sup >

Then M has finite length if and only if L and N have finite length, and we have