Then, when similar diagram is plotted for a cluster whose distance is not known, the position of the main sequence can be compared to that of the first cluster and the distance estimated.

Then the estimated number

Then the necessary resources can be estimated and costs for each activity can be allocated to each resource, giving the total project cost.

Then he estimated the boundaries of each of the outcrops of rock, filled them in with colour and ended up with a crude geological map.

Then consider the island only has one street ( Indian Creek Island Drive ) with only 32 waterfront homes spread out over 38 waterfront lots, all with estimated values ranging from $ 7 to $ 30 million ( current listings range from $ 15 to over $ 50 million on this brokerage site ).

Then Bastrop Mayor Clarence Hawkins estimated about five hundred, or nearly half of the Pilgrim's Pride processing plant workers in Farmerville commuted from Bastrop, many in vans running on a regular schedule.

Then exp (( AIC < sub > min </ sub >− AIC < sub > i </ sub >)/ 2 ) can be interpreted as the relative probability that the ith model minimizes the ( estimated ) information loss.

Then Douglas and his collaborators estimated that the total number of different stringy vacua can be as large as 10 < sup > 500 </ sup >, or even more, and Susskind developed the string theory landscape scenario based on investigation of cosmological phase transitions between different string theory vacua.

Then, in August 1977, premier Neville Wran cancelled the inner section of the F6 link, which at the time had an estimated construction cost of $ 96 million.

Then, watched by a crowd of members of the public and surrounded by an estimated 2, 500 police, he marched down the main street of Hyde carrying a Union Flag and a sign reading " Defend British Free Speech from Red Terrorism ".

Then, for the layer of the gain medium placed at the heat sink, the maximal power can be estimated as

Then one objective of the econometrician is to obtain estimates of the parameters a and b ; these estimated parameter values, when used in the model's equation, enable predictions for future values of consumption to be made contingent on the prior month's income.

Then an upper bound of the numbers that the ground state can take is estimated as Ω < 2 < sup > 2N </ sup >( 6 / 16 )< sup > N </ sup >.

Then through the usual least squares calculation, the estimated parameter vector based only on the observed x-values but omitting the observed z values, is given by:

Then, among the candidates estimated from the two domains, a final pitch track can be computed using dynamic programming.

Then, the hurricane reached its estimated peak intensity of and a minimum central pressure of that same day.

Then, they estimated the circumcision frequencies of the Central African cities over time.

# Then find the maximum discrepancy between the empirical distribution function and the cumulative distribution function ( CDF ) of the normal distribution with the estimated mean and estimated variance.

) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is

Then b < sub > 0 </ sub > is the value of p ( x < sub > 0 </ sub >).

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

Then the probability of a measurement returning the value λ < sub > i </ sub > can be calculated by integrating the spectral measure

Let X be a normed topological vector space over F, compatible with the absolute value in F. Then in X *, the topological dual space X of continuous F-valued linear functionals on X, all norm-closed balls are compact in the weak -* topology.

Then, to construct the elements of following rows, add the number above and to the left with the number above and to the right to find the new value.

Then, the problem of computing the function value can be rephrased as " zeroing-in " on the corresponding matrix entry.

Then, any single value has an uncertainty equal to the standard deviation.

Then, if opening or cold calling, the player may exchange a large chip for its full equivalent value out of the pot before placing his bet, or if overcalling may place the chip ( announcing that he is calling or raising a lesser amount ) and remove the change from his own bet for the round.

Let be the mean of the values in associated with class c, and let be the variance of the values in associated with class c. Then, the probability of some value given a class,, can be computed by plugging into the equation for a Normal distribution parameterized by and.

Then the area of the parallelogram with vertices at a, b and c is equivalent to the absolute value of the determinant of a matrix built using a, b and c as rows with the last column padded using ones as follows:

Abstractly, we can say that D is a linear transformation from some vector space V to another one, W. We know that D ( c ) = 0 for any constant function c. We can by general theory ( mean value theorem ) identify the subspace C of V, consisting of all constant functions as the whole kernel of D. Then by linear algebra we can establish that D < sup >− 1 </ sup > is a well-defined linear transformation that is bijective on Im D and takes values in V / C.

Then one would find the actual velocity fluctuating about a mean value:

Then, ten tricks are played, allowing players to take trick points: each card has a face value ( except in Null games ) and is worth that amount in points for the player winning the trick.

Then, the value of m can be written in three ways:

Then the starting value after pressing " CLEAR " has to be 1.

* Then, the BPI process owners should determine what outcomes would add value to the organization's objectives and how best to align its processes to achieve those outcomes ( TO-BE ).

Then, if the value of an option at time t is f ( t, S < sub > t </ sub >), Itō's lemma gives

Then apply the differential correction for the new full moon cycle phase: use the value of 18 under entry 1 in the second, cyclic table above.

Then at any time t you can unwind your obligation for the forward contract by shorting another forward with the same delivery date to get the difference in forward prices, but discounted to present value:.

Then the curved scale used for the expected value is selected based on the range.

which is the length of chain whose weight is equal in magnitude to the tension at c. Then

Then both partners replace weight on the second part of the first beat.

Then you shift your weight on your feet, left-right-left-right.

Then the referee will call ' Rack ' and the lift is completed as the weight is returned to the rack.

Then undefeated World Jr Featherweight champion Wilfredo Gómez ( 32-0-1 ) went up in weight and challenged Sánchez.

Then the empty bus, within imposed weight limits, drives across and the students get back on the bus to continue their ride.

Then, he went down in weight and challenged World Lightweight Champion Lou Ambers.

Then, they look at an old wooden chair which Roger sits on and breaks to pieces due to his weight.

Then troy weight is a style of weighing, like auncel or bismar weights, or other kindred methods.

Then, he went down in weight, and lost his world Welterweight championship, by a decision in 15 to Johnny Saxton.

Then, at full gallop, the buffalo would fall from the weight of the herd pressing behind them, breaking their legs and rendering them immobile.

Let V be a representation of a Lie algebra g over a field F and let λ be a weight of g. Then the weight space of V with weight λ: g → F is the subspace

Then, a representation is said to have highest weight λ if λ is a weight and all its other weights are less than λ.

Then multiply this figure by 64 ( the weight of one cubic foot of seawater ) to get the weight of the ship in pounds ; or divide by 35 to calculate the weight in long tons.

Then the correct weight ratio of powdered ammonium nitrate is added and mixed in.

Then a weight of 300 metric pounds ( 150 kg ) was attached to each of his big toes for half an hour.

The result can be interpreted as the average number of sheets in the covering of the Riemann sphere by the disc | z | < t. Then this average covering number is integrated with respect to t with weight 1 / t.