Then, by applying and maintaining sufficient pressure to prevent it from inhaling, the prey eventually succumbs due to asphyxiation.

Then, from the late 1960s onward, Stanford's goal became applying research and findings toward humanistic ends.

Then, applying transformation T to all the points on this sphere yields

Then, by applying and maintaining sufficient pressure to prevent it from inhaling, the prey eventually succumbs due to asphyxiation.

Then, applying the triangle inequality to both sides, using ( 5 ) and the fact that as well as are non-negative we obtain

Then applying the Gram – Schmidt process to the three vectors ( A < sub > 2 </ sub >− A < sub > 1 </ sub >, A < sub > 3 </ sub >− A < sub > 1 </ sub >, V ) produces an orthonormal basis of space, the third vector of which will be normal to plane A.

Then ( the same result can be obtained by applying the current conservation principle ).

Then in early 1963, California guitar manufacturer Mosrite re-branded their uniquely styled, futuristic-looking Mark 1 electric guitar model for the Ventures by applying decals that stated " The Ventures Model " on the headstock.

Then one computes the next iteration of P by applying F < sub > j </ sub > on ( P. x, P. y ).

To see why this is true, suppose x ∈ X is the state at time s. Then by the definition of F, F < sub > t, s </ sub >( x ) is the state of the system at time t and consequently applying the definition once more, F < sub > u, t </ sub >( F < sub > t, s </ sub >( x )) is the state at time u.

Then, by applying the Phragmén – Lindelöf principle ( a kind of maximum principle for infinite domains ) one gets that

Then the basic EPS number is diluted one by one by applying each one, skipping any instruments that have an antidilutive effect.

Then, applying the differential pointwise to X yields the pushforward φ < sub >*</ sub > X, which is a vector field along φ, i. e., a section of φ < sup >*</ sup > TN over M.

Then applying this to yields the probabilities:

Then applying ν < sub > 2 </ sub > to the equation yields

Then, for the class of scores which are discrete convolutions, configurations related to each other by translation of one protein by an exact lattice vector can all be scored almost simultaneously by applying the convolution theorem.

Then off to a remote place in an underdeveloped country where the diet, culture, language and living conditions will be different.

Then, by squeezing her foot three times, he came up -- presto -- with a different diagnosis with each squeeze.

Then the young man in the brown sports jacket spoke, and it was no different.

Then the tumult of the thousand different cries of the eager dealers, all shouting at the top of their voices, at one and the same time, is almost bewildering.

Then only, when the voice of duty takes the place of physical impulses and right of appetite, does man, who so far had considered only himself, find that he is forced to act on different principles, and to consult his reason before listening to his inclinations.

Then a different musician could change the song / beat / lyrics to their preference without getting into legal trouble.

Then and thereafter, his relationship to Christianity remained entirely founded upon personal experience, and thus both non-denominational and strikingly different from conventional religious forms.

Then he did a survey of over 400 machines in 70 different casinos in Las Vegas.

Then it turns out, when you actually go up there, there's really just small bunkers, and a lot of different ammo storage is up there.

Then, carvers cut the parts with no character off the board with knives, so that the characters were cut in relief, completely different from those cut in intaglio.

Then the statistician must analyze the properties of and, which are viewed as random vectors since a randomly different selection of n cases to observe would have resulted in different values for them.

Then, the geometrical cross-section is different from the effective cross-section in which current is actually flowing, so the resistance is higher than expected.

Then the rumors began to snowball into different variations and people were confused about sending a donation for his heart operation.

Then about 2. 7 % can speak a different language at home.

Then, as it travelled, a mechanism possibly containing differential gears used the different rotational speeds of the two wheels to turn the pointer relative to the body of the chariot by the angle of turns made ( subject to available mechanical accuracy ), keeping the pointer aiming in its original direction, to the south.

Then, he tried to make history once again by becoming the first boxer to win world titles in four different categories in a rematch with Garcia, already the World Middleweight Champion, but the fight ended in a ten round draw, Armstrong's attempt to win a fourth division's world title being frustrated.

Then Chairman of the Federal Reserve Alan Greenspan was a critic of the system, saying, “ We are, in effect, attempting to use government to enforce two different prices for the same itemnamely, government-mandated deposit insurance.

Then Jesus appears " in a different form " to two unnamed disciples.

Then in 1888 these were replaced by an issue in Turkish currency, a total of 13 different items were issued before these were replaced by postcards in French currency in 1903.

Then we started to branch out .” They began to experiment first with cold-frames and later with greenhouse culture ; those years being distinctly different from the present time, there was virtually no personal experience with greenhouses in their area and little accessible literature on the subject.

Then the second material, a different color, is injection-molded into those spaces.

" I told them I didn't want to participate in a studio album because musically, I want to go in a different kind of direction than the music Europe stands for ," Marcello said, " Then we talked for a while about doing a six-piece tour – it didn't turn out that way because of different reasons.

Then believing they are on a different island, they climb a mountain to disable a beacon Quinn believes to be there.

Then simple random sampling or systematic sampling is applied within each stratum.

Then the sufficient condition for exact reconstructability from samples at a uniform sampling rate f < sub > s </ sub > ( in samples per unit time ) is:

Then a series of cuts, along the vertebral column, are made so that the organs can be detached and pulled out in one piece for further inspection and sampling.

Then this inner product between f and g can be roughly understood as the dot product between approximating vectors and, in the limit as the number of sampling points goes to infinity.

Then, a random sampling of c points are iterated through the Mandelbrot function.