Then, for any non-zero element x of M, the cyclic submodule xR must equal M. Fix such an x.

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 there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.

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, with the new affluence, there is actually a sallying forth into the wide, wide world beyond the precincts of New York.

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 the dynamic program would require about a minute whereas the direct search would take more than three millennia!!

* Let H be a group, and let G be the direct product H × H. Then the subgroups

Then, a major opportunity arose when Fox – buoyed by the returns from The Sound of Music ( 1965 ) – commissioned Kelly to direct Hello, Dolly!

Then hot smoked ( hung over a hot, smokey fire but out of direct heat ) to preserve it more.

Then rotate the tangent screw back and forth so that the reflected image passes alternately above and below the direct view.

Then, ABC hired Robert Butler to direct the project.

Then the best man and the maid of honor will direct ushers to escort guests to their seat.

Then direct vote is cast so the people can ratify or not the decanted members that appear in the final step.

Then, as financial backing for The Mosquito Coast fell through, Weir became free to direct Witness, which was his first American film.

Then, in 1938, a show was held at the Mercury Gallery, in direct defiance of the Whitney Museum, which the group regarded as having a provincial, regionalist agenda.

Then in 1935, under the accord signed between He Yingqin, the commander of Kuomintang armies in Northern China, and Yoshijiro Umezu, the commander of Japanese troops in Northern China, elite Kuomintang troops related to the group Blue Shirts Society, core of Chiang ’ s Whampoa Clique, had to evacuate from Beijing and Northern China, which put the whole of Northern China under direct threat of Japanese invasion.

Then during the direct illumination calculation, instead of sending out a ray from the surface to the light that tests collisions with objects, the photon map is queried for shadow photons.

Then the island was again under direct Ottoman rule.

Then the Sex Pistols started on their own film, The Great Rock ' n ' Roll Swindle, and for a while, when Russ Meyer was due to direct, Willcox was going to take part in the movie.

Then the pair is called a direct system over.

Then they asked who I wanted to direct it.

* Let ρ be a unitary representation of a compact group G on a complex Hilbert space H. Then H splits into an orthogonal direct sum of irreducible finite-dimensional unitary representations of G.

Then this can be seen by a direct computation for n any integer, and the general case reduces to this case without much difficulty.

Then on a two-point conversion attempt, running back Kevin Faulk took a direct snap and ran into the end zone to make the score 29-22.

Then, as Turaga, they christen the island and direct the Matoran to build the villages.

Then in May 1663, the architect Yuri Kontransky arrived in Penza on the Tsar's orders to direct the construction of a fortress city.

Then in 1963, Pennebaker and Leacock left the organization to form their own production firm, Leacock-Pennebaker, Inc. Pennebaker would direct a number of short films over the course of two years.

Then its global sections are given by, i. e. the direct sum indexed by connected components of X

Then Marmalade released the album, Songs, in 1972, and Nicholson took on most lead vocals and song composition with more direct and less orchestral arrangements, which met with limited success.