Then the solution of the acoustic wave equation is

Then the copper is passed through an electro-winning process to increase its purity: An electric current is passed through the resulting solution of copper ions.

Then, in an effort to increase the water solubility of uric acid, lithium urate was added to the solution.

We wish to maximize total value subject to the constraint that total weight is less than or equal to W. Then for each w ≤ W, define m to be the maximum value that can be attained with total weight less than or equal to w. m then is the solution to the problem.

Then the emf, E < sub > X </ sub >, of the same cell containing the solution of unknown pH is measured.

⟨ 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 the solution of the Laplace equation inside the sphere is given by

Then perhaps adjusting the calibration tolerance for the gage would be a better solution.

Then it can be shown that the equipotential solution is an ellipsoid of revolution.

Then any solution of the inhomogeneous equation may have a solution of the homogeneous equation added to it, and still remain a solution.

Then for an equation to have a solution, we must have ( one constraint ), and in that case the solution space is or equivalently stated, ( one degree of freedom ).

Then there exists an open neighbourhood V of F ( 0 ) in Y and a continuously differentiable map G: V → X such that F ( G ( y )) = y for all y in V. Moreover, G ( y ) is the only sufficiently small solution x of the equation F ( x ) = y.

Then Serbia and Greece proposed that each of the three countries reduce its army by one fourth, as a first step to facilitate a peaceful solution, but Bulgaria rejected it.

Then, the solutions are mutated and selected for those with higher fitness, until a satisfying solution has been found.

Then the solution is passed through a second detector.

Then there is a nontrivial nonnegative integer solution obtained by replacing each of by its absolute value.

Then, when Bob comes up with the solution himself a few days later, Alice can prove that she had the solution earlier by revealing it and having Bob hash it and check that it matches the hash value given to him before.

Then the air was passed through a carbon dioxide absorbing solution.

Then the general solution is

Then suddenly we found ourselves in the middle of another fight, an irrational, an indecent, an undeclared and immoral war with our strongest ( and some had thought noblest ) ally.

Then we pull out under our mortar and artillery cover, but nobody pulls out until I say so.

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 China promptly went Communist, and Mr. Truman had to fight the interminable Korean war for the democratization of Korea before we learned how far our writ did `` reach in Asia ''.

Then, one after another, the villagers tied the waiting cotton strings around our wrists.

Then we have informed a large number of our crew that when they reach the United States, they will be punished but that in the meanwhile, they may run loose and are expected to perform their jobs in good order.

Then our choice function can choose the least element of every set under our unusual ordering.

Then Marlow and his listeners were silent ; our first narrator explains: " Nobody moved for a time.

Then, ~ 150, 000 years later ( i. e. around 50, 000 years ago ), sub-groups of this population began to expand our species ' range to regions outside of, and ( later ) within, this continent ( Tishkoff, 1996 ).

Then the joint distribution of X and Y is completely determined by our channel and by our choice of, the marginal distribution of messages we choose to send over the channel.

" Then on our left we had the land of the Burgundians, who have a king to themselves.

Then, after the land of the Burgundians, we had on our left the lands that have been called from the earliest times Blekingey, and Meore, and Eowland, and Gotland, all which territory is subject to the Sweons ; and Weonodland (= the land of the Wends ) was all the way on our right, as far as Weissel-mouth.

Then to the crowd of Protestants, he continued " were we to keep these men alive, then we would lose the Letter of Majesty and our religion ... for there can be no justice to be gained from or by them ".

Then shall our names,

* " Then you wake up at the high school level and find out that the illiteracy level of our children are appalling.

Then, each of our acts would do a leisurely ten minutes or so.

Then came our ranks one of these panic reactions, so hard to avoid.

Then, after the fight, he says, " My thoughts are whirl'd like a potter's wheel ./ I know not where I am nor what I do ./ A witch, by fear, not force, like Hannibal ,/ Drives back our troops and conquers as she lists " ( 1. 6. 19 – 22 ).

Then the Cardinal Bishop of Porto said: We supplicate you, Almighty God, effect your customary devotion and pour out on this your servant, __, the grace of the Holy Spirit that he who is constituted at the head of our church as the servant of the mystery, you would strengthen with the fullness of virtue.

Clemenceau said ...‘ I am totally opposed to you – we both recognise a great danger and you are ... reducing your army and weakening your navy .’ ‘ Ah ’ said Bannerman ‘ but that is for economy !’... then said that he thought the English ought to have some kind of military service, at which Bannerman nearly fainted ...‘ It comes to this ’ said Clemenceau ‘ in the event of your supporting us against Germany are you ready to abide by the plans agreed upon between our War Offices and to land 110, 000 men on the coast while Italy marches with us in the ranks ?’ Then came the crowning touch of the interview.

Then God created our planet, the Earth, and He wanted to give to the angels the task of guiding the immature spirits He planned to create in their wandering toward greater maturity.

Then United Nations Secretary-General Kofi Annan commented that " he combined respect for humankind with concern for our environment.