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

Then, starting with the first player, each player draws six tiles.

Then X is reflexive if and only if each X < sub > j </ sub > is reflexive.

Then the required information is collected from a simple random sample of the elements within each selected group.

Then after-depolarization this effect leads initially to bigeminy: regular ectopic beats following each ventricular contraction.

Then each point p of the line can be specified by its distance from O, taken with a + or − sign depending on which half-line contains p.

Then all elements of X equivalent to each other are also elements of the same equivalence class.

" Then in Col 3: 16, Paul's goal is that the Colossians themselves to in some manner continue in this ministry and admonish and test each other, ' one another ' as Paul did for them.

Then, using back-substitution, each unknown can be solved for.

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

For instance, suppose that each input is an integer z in the range 0 to N − 1, and the output must be an integer h in the range 0 to n − 1, where N is much larger than n. Then the hash function could be h

Then the analyst would have SMEs rate those examples on a Likert scale and compute inter-rater agreement statistics to judge the adequacy of each item.

Then, on paper, they bought $ 200 worth of each, for a total bet of $ 1, 000, using the prices on September 29, 1980, as an index.

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, choice of law clauses may specify which laws the court or tribunal should apply to each aspect of the dispute.

Then, perhaps with some comic friction or awkwardness, they declare their love for each other and the film ends happily.

Then the composite was rewound and the negative of the second action was copied onto the right side of each frame.

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

" Then he pointed to each person around him: " And so are you, and you, and you.

Then we have a universal morphism for each object in C and D:

Then each element in G is represented in some way by a product

Then they take their places, one on each side of the Hazzan, and the three recite ( in Hebrew ):

For f ∈ R, define D < sub > f </ sub > to be the set of ideals of R not containing f. Then each D < sub > f </ sub > is an open subset of Spec ( R ), and is a basis for the Zariski topology.

Then to perform, two's complement theory says to invert each bit with a NOT gate then add one.

Then move all spars as far away from each other as possible.

Then being employed by the De Laurentiis Entertainment Group, he proceeded to make two films: the science-fiction epic Dune ( 1984 ), which proved to be a critical and commercial failure, and then a neo-noir crime film, Blue Velvet ( 1986 ), which was critically acclaimed.

Then, at around 1960 a critical resurgence in interest occurred which has resulted in making general relativity central to physics and astronomy.

Then it was revealed that Livingston — who had been publicly critical of President Bill Clinton's perjury during his sexual harassment-had engaged in an extramarital affair himself, and he opted to resign from the House despite being urged to stay on by House Democratic leader Gephardt.

Then in 1788 ( a year prior to the French Revolution ) she appeared as an author under her own name ( Sophie had been already published, but anonymously ) with some Lettres sur J. J. Rousseau, a fervid panegyric which demonstrated evident talent but little in the way of critical discernment.

Then, in 1993, his TV drama, Fireworks, brought him critical praise and the Directors Guild of Japan New Directors Award for his portrayal of a group of children in the town of Iioka.

The battle of Beersheba ( Then Birüssebi ) was one critical element of a wider British offensive, known as the Third Battle of Gaza, aimed at breaking the Ottoman defensive line that stretched from Gaza on the Mediterranean shore to Beersheba, an important regional centre some inland.

Then, all the non-analyticity at the critical point, the critical exponents, are because the equilibrium value of the order parameter changes non-analytically, as a square root, whenever the free energy loses its unique minimum.

Then events turned critical.

Then Zhang Wentian in a long critical oration, condemned the leaders for the debacle in Jiangxi.

Then, if is a non-degenerate critical point of f ( x ), we must be seeing a saddle point, since otherwise there is no chance that the sum of the second derivatives of f is zero.

Then Montreal coach Dick Irvin decided to switch and have his best forwards, the Punch Line, out for this critical faceoff.

Then, in the critical trial, the experimenter moves the toy under box " B ", also within easy reach of the baby.

Then, after disappointment with Daryll-Ann's career in the UK, producer Frans Hagenaars and manager Ferry Roseboom decided to release a couple of LPs that brought the band critical acclaim.

Then the critical parts of the matted live action scene ( with the desired actions and actors in place ) are threaded up for burning the painted elements into the black areas.

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

Then an arithmetic function a is

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 is a group whose identity element is The group inverse of an arbitrary group element is the function inverse

Then, using the periodic Bernoulli function P < sub > n </ sub > defined above and repeating the argument on the interval, one can obtain an expression of ƒ ( 1 ).

Then a mathematical procedure is used to find a filter transfer function which can be realized ( within some constraints ) and which approximates the desired response to within some criterion.

Then an " estimator " is a function that maps the sample space to a set of sample estimates.

Let R be a domain and f a Euclidean function on R. Then:

Then the probability density function f *( x ) of the size biased population is

Then ƒ is invertible if there exists a function g with domain Y and range X, with the property:

Then for a specific value x of X, the function L ( θ | x )

Then,, and the constant function turns into the identity by substitution.

Then, in 1905, to explain the photoelectric effect ( 1839 ), i. e., that shining light on certain materials can function to eject electrons from the material, Albert Einstein postulated, based on Planck ’ s quantum hypothesis, that light itself consists of individual quantum particles, which later came to be called photons ( 1926 ).

The algorithm for deciding this is conceptually simple: it constructs ( the description of ) a new program t taking an argument n which ( 1 ) first executes program a on input i ( both a and i being hard-coded into the definition of t ), and ( 2 ) then returns the square of n. If a ( i ) runs forever, then t will never get to step ( 2 ), regardless of n. Then clearly, t is a function for computing squares if and only if step ( 1 ) terminates.

Then the output is related to the input by the transfer function as

Then because the construction of f was uniform, this is a recursive function of two variables.

Then, its electrical field traces out a helical pattern as a function of time.

Then the function

Then the function

Then, recalling that the likelihood function is defined up to a multiplicative constant, it is just as valid to say that the likelihood function is approximately

Then, on considering the lengths of the intervals to decrease to zero, the likelihood function for an observation from the discrete component is

Then has probability density function.