Then the integral of the incoming waveform over the summing interval reduces to the integral of the constant and when that integral is divided by the summing interval it becomes the mean over that interval.

Then, with a shrug of pretended indifference, she took a compact from her purse and went through the motions of fixing her make-up.

Then the Communese reply came back from many mouthpieces with striking consistency.

`` Then cometh Jesus from Galilee to Jordan unto John, to be baptized of him.

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 epistolatory me was a foreign correspondent dispatching exciting cables and communiques, full of dash and wit and glamor, quoting from the books I read, imitating the grand styles of the authors recommended by a teacher in whose special, after-school class I was enrolled.

Then pour water or light oil from a graduated beaker into the chamber to fill the chamber to its gasket surface.

Then lay a three-inch-wide strip of cloth along the keel line from the transom to the point of the stem.

Then during washing, the greasy soil rolls back at the edges so that emulsified droplets can disengage themselves from the sorbed oil mass, with the aid of mechanical action, and enter the aqueous phase.

Then Miss Lillian Colman came from Vermont to be kitchen manager.

Then one day Dick's classmate Jimmy, from next door, let the cat out of the bag.

Then from the branches of a near-by tree an Indian underclassman, disdaining both the platform and the English language, harangued the assemblage in his aboriginal tongue.

Then Kerr, a graduate student from Illinois, moved past him on a straightaway and held off Mills's challenge on the final turn.

Then the monk praised Yang Shan saying: `` I have come over to China in order to worship Manjucri, and met unexpectedly with Minor Shakya '', and after giving the master some palm leaves he brought from India, went back through the air.

Then was it a final desperate plea from her, to whom??

Then, without knowing why, she found herself running from them, fleeing wildly through the trees, dodging her own shadows until she came to a little hollow in the rocky ground with a big stone in the center behind which she knelt and hid, listening to the madness of her heart and wanting for once to cry.

Then, from within the still, sleeping house, the telephone had rung ; ;

Then he sped from the dark basement and returned to his room and cried.

Then he met the grave eyes of his wife, Anne, from the photograph next to David's.

Then and throughout the war, Lincoln came under heavy, often vituperative attack from antiwar Democrats, called Copperheads.

Then, in order to prevent Polk from dissipating his forces by implementing his proposal to allow some men to join a partisan group, Johnston ordered him to send Pillow and 5, 000 men to Fort Donelson.

Then he tore the white paper from the biscuits, in order to reveal the original packaging.

* 2005 And Then There Were None ( dramatised by Kevin Elyot from the novel And Then There Were None )

Then Chris Broad scored three hundreds in successive Tests and bowling successes from Graham Dilley and Gladstone Small meant England won the series 2 – 1.

Then, taking in on the first cable as the boat is motored into the wind and letting slack while drifting back, a second anchor is set approximately a half-scope away from the first on a line perpendicular to the wind.

Then, for any given sequence of integers a < sub > 1 </ sub >, a < sub > 2 </ sub >, …, a < sub > k </ sub >, there exists an integer x solving the following system of simultaneous congruences.

Then we could have written a formula of degree k which is equivalent to φ, namely.

Then one need only check the records in each bucket T against those in buckets T where k ranges between − m and m.

Then letting y < sub > k </ sub > =

Then between 80k-125 k years ago, modern humans began appearing in the middle east.

⟨ H ⟩, be the group generated by H. Then the word problem in H < sup >*</ sup > is solvable: given two words h, k in the generators H of H < sup >*</ sup >, write them as words in X and compare them using the solution to the word problem in G. It is easy to think that this demonstrates a uniform solution the word problem for the class K ( say ) of finitely generated groups that can be embedded in G. If this were the case the non-existence of a universal solvable word problem group would follow easily from Boone-Rogers.

Then f: A < sub > 1 </ sub > × A < sub > 2 </ sub > → X is a morphism and f ∘ i < sub > k </ sub >

Then n is palindromic if and only if a < sub > i </ sub > = a < sub > k − i </ sub > for all i. Zero is written 0 in any base and is also palindromic by definition.

The other class of Dedekind rings which is arguably of equal importance comes from geometry: let C be a nonsingular geometrically integral affine algebraic curve over a field k. Then the coordinate ring k of regular functions on C is a Dedekind domain.

Then any model of B is a field of characteristic greater than k, and ¬ φ together with B is not satisfiable.

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 ).

We can use this fact to prove part of a famous result: for any prime p such that p ≡ 1 ( mod 4 ) the number (− 1 ) is a square ( quadratic residue ) mod p. For suppose p = 4k + 1 for some integer k. Then we can take m = 2k above, and we conclude that

Then a < sub > k </ sub > converges cubically to 1 / π ; that is, each iteration approximately triples the number of correct digits.

Then p < sub > k </ sub > converges monotonically to π ; with p < sub > k </ sub >-π ≈ 10 < sup >− 2 < sup > k + 1 </ sup ></ sup > for k ≥ 2. s

Then a < sub > k </ sub > converges quartically against 1 / π ; that is, each iteration approximately quadruples the number of correct digits.

Then p < sub > k </ sub > converges quartically to π ; that is, each iteration approximately quadruples the number of correct digits.

Then a < sub > k </ sub > converges quintically to 1 / π ( that is, each iteration approximately quintuples the number of correct digits ), and the following condition holds:

Then every cohomology class in H < sup > 2k </ sup >( X, Z ) ∩ H < sup > k, k </ sup >( X ) is the cohomology class of an algebraic cycle with integral coefficients on X.