Then why was he assuming the role -- the gesture and the suffering??

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

Then, considering all three colour channels, and assuming that the colour channels are expressed in a γ = 1 colour space ( that is to say, the measured values are proportional to light intensity ), we have:

Then, mathematicians started worrying that they were assuming the existence of a continuum of real numbers without proof.

Then it will be spontaneously re-emitted, either in the same frequency as the original or in a cascade, where the sum of the energies of the photons emitted will be equal to the energy of the one absorbed ( assuming the system returns to its original state ).

Then in 1918, Siddhanta Sarasvati accepted the renounced order of spiritual life, assuming the title Srila Bhaktisiddhanta Sarasvati Goswami Maharaja.

Then, for any function H (·) for which exists, and assuming that the component densities p < sub > i </ sub >( x ) exist,

Then the top of the 1311 drive was opened and the plastic shell lowered into the disk-drive opening ( assuming it was empty ).

Then, following Mallory ( 197f ) and assuming the origin of this culture to be sought in the Sredny Stog, Yamnaya and Late Tripolye cultures, he proposes the course of these events corresponds with the development of a satem language which was drawn into the western Indo-European sphere of influence.

Then, as the call stack unwinds ( assuming a recursive implementation of the search ), it's easy to check the validity of the tree and perform any rotations as necessary.

Then, Lance, assuming this was another attempt by Ed to finish him off, puts up his arms and shoots out a beam that sends Ed flying through a brick wall.

Then, the bispectrum will have the same magnitude ( assuming that the magnitude of the frequency components is the same ) but the phase will be randomly oriented.

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 while the writhing pitcher ground the ball into his hip,

Then, not long before the finish, the Automobile Club de l ' Ouest ( ACO ), organizers of the Le Mans event, informed Ford that the geographical difference in starting positions would be taken into account at a close finish – meaning that the McLaren / Amon vehicle, which had started perhaps behind the Hulme-Miles car, would have covered slightly more ground over the 24 hours and would therefore be the winner.

Then the sword is slashed downward to a position with the point close to the ground in front of the right foot.

Then the Zariski tangent space at a point p ∈ X is the collection of K-derivations D: O < sub > X, p </ sub >→ K, where K is the ground field and O < sub > X, p </ sub > is the stalk of O < sub > X </ sub > at p.

Then the leg strikes the ground with the heel and rolls through to the toe in a motion described as an inverted pendulum.

Then, through a smashed out 38th floor window, she told Goodwin, who was hanging from the building's side a floor below, that though she did not agree with his climbing of the John Hancock Center she certainly opposed the fire department knocking him to the ground below.

Then he had the tops of the pines cut, eight feet from the ground, on which he had built a platform and a log cabin to serve as a temporary quarters while the mansion was being built.

Then a series of earthquakes shattered the columns and sent the bronze chariot crashing to the ground.

39 Then Gideon said to God, “ Do not let Your anger burn against me that I may speak once more ; please let me make a test once more with the fleece, let it now be dry only on the fleece, and let there be dew on all the ground .” 40 God did so that night ; for it was dry only on the fleece, and dew was on all the ground.

Then he saw two bulls fighting over a heifer and waited till in the course of the fight both fell to the ground and became helpless, which made it possible for him to grab one of the bulls by the legs and drag it to the altar.

Heracles was also credited with the burning of the palace at Orchomenus: " Then appearing unawares before the city of the Orchomenians and slipping in at their gates he burned the palace of the Minyans and razed the city to the ground.

Then the lower ground floor galleries in the south west part of the museum were redesigned, opening in 1978 to form the new galleries covering Continental art 1600 – 1800 ( late Renaissance, Baroque through Rococo and neo-Classical ).

Then, there exists a constant satisfying: for every ground term in such that, there exists a context, a nontrivial context and a ground term such that and, for all.

Then when Marie Antoinette appeared with her children, she was told to send the children back ; afterwards, when she came out alone, people shouted to shoot her, but when she stood her ground facing almost certain death, no one opened fire.

Then, a long, thick piece of kindling is driven into the ground at an angle, so that it overhangs the tinder pile.

Then kindling is placed with one end propped up by the larger piece of fuel wood, and the other resting on the ground, so that the kindling is leaning over the tinder pile.

Then the newspaper can be removed and the ground can be planted.

Then it was compressed using a simple run-length encoding scheme and sent down to the ground at 200 bit / s.

Then, in a surprising turn, Douglas threw the title belt to the ground, claiming that he did not want to be the champion of a promotion that died " seven years before " ( when JCP was sold to Ted Turner ).

Then, during Romeo's death scene, Coates carefully placed his hat on the ground for a pillow and used his dirty handkerchief to dust the stage before lying on it.

" Then the Lord rained upon Sodom and upon Gomorrah brimstone and fire from the Lord out of heaven ; and He overthrew those cities, and all the plain, and all the inhabitants of the cities, and that which grew upon the ground.

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 ; ;