We may calculate the ratio of the populations of the two states at room temperature ( T ≈ 300 K ) for an energy difference ΔE that corresponds to light of a frequency corresponding to visible light ( ν ≈ 5 × 10 < sup > 14 </ sup > Hz ).

We now have 6 of the 12 observations remaining ; next, we calculate the arithmetic mean of these numbers:

We can calculate division by multiplication in such a case.

We calculate p ′( x ) = 3x < sup > 2 </ sup >+ 2x − 5.

We can calculate the length of the line from its center to the middle of any edge as using Pythagoras ' theorem.

We call this a priori because we calculate the instants of collision before we update the configuration of the physical bodies.

We can do this to and, and we can calculate ( ahead of time ) the bounding spheres and.

We cannot cut off these relationships because of concern about security, but experience has certainly shown that we must calculate the risks involved

We calculate the h-vector of the octahedron boundary ( our first example ) as follows:

We can use this operation to calculate the QR factorization of an m-by-n matrix with m ≥ n.

We are able to calculate the Dominical letter in this way ( function in C ), where:

We add the quantity artificially to the microstate energies ( or, in the language of quantum mechanics, to the Hamiltonian ), calculate the new partition function and expected value, and then set λ to zero in the final expression.

If T is a statistic that is approximately normally distributed under the null hypothesis, the next step in performing a Z-test is to estimate the expected value θ of T under the null hypothesis, and then obtain an estimate s of the standard deviation of T. We then calculate the standard score Z = ( T − θ ) / s, from which one-tailed and two-tailed p-values can be calculated as Φ (−| Z |) and 2Φ (−| Z |), respectively, where Φ is the standard normal cumulative distribution function.

We can similarly calculate that the average piano tuner performs

We, of course, do not use the complicated intrinsic expression C " B ' A to calculate.

We have to identify the unit price changes of outputs and inputs and calculate their profit impacts ( i. e. unit price change x quantity ).

We can therefore calculate that he held about 500 acres.

We calculate the derivatives:

We can use this result to further calculate the relativistic correction:

We can calculate the probability as the product of 2 probabilities:, where is the probability that the center of the needle falls close enough to a line for the needle to possibly cross it, and is the probability that the needle actually crosses the line, given that the center is within reach.

We then simply move the center ( or the origin ) of the template T ( x < sub > t </ sub >, y < sub > t </ sub >) over each ( x, y ) point in the search image and calculate the sum of products between the coefficients in S ( x, y ) and T ( x < sub > t </ sub >, y < sub > t </ sub >) over the whole area spanned by the template.

We need only calculate the integrals

We are now in position to calculate the Stromgren Radius from the balance between the recombination and ionization

We can then find the fugacity coefficient of a gas at a given pressure and calculate

We find `` reluctant recruits '' whose values are not in line with their expected occupation's characteristics.

The same editorial continued that `` We expected to democratize Japan and Korea and to see a new China pattern itself easily on our institutions.

We expected, in short, that most of the world would make itself over in our image and that it would be relatively simple, from such a position, to deal with the localized aberrations of the Soviet Union ''.

We can, however, maximize its expected value.

We thus have an optimal policy which maximizes the expected value of the objective function for a given Af.

We do know that he was not expected to succeed to the throne after his brother king Agis II, largely due to the fact that he was crippled from birth, and since the latter had a son, named Leotychidas.

We wanted it to be a record that didn't necessarily sound like what people expected.

An alternative title is So Shall We Reap: how everyone who is liable to be born in the next ten thousand years could eat very well indeed ; and why, in practice, our immediate descendants are likely to be in serious trouble, on the future of agriculture, in which he challenges the current science and technology paradigm and outlines a sustainable way of feeding the population of the world, expected to stabilise at ten billion people by the middle of the 21st Century.

We know however that for an expected quality worth, buyers will only be willing to pay.

We naturally expected something of the sort.

We then went to view the English chapel, and found it a small church, clean to a degree unknown in any other part of Scotland, with commodius galleries, and what was yet less expected, with an organ.

In accordance with Scientology beliefs, members are expected to return to the Sea Org when they are reborn ; the Sea Org's motto is " We Come Back.

We must not pay homage to any of the sacred cows presented to us, including the roles we are expected to play ourselves.

We are expected to rave about the genius of the creator and forget the original.

We see that exponential decay is a scalar multiple of the exponential distribution ( i. e. the individual lifetime of each object is exponentially distributed ), which has a well-known expected value.

We expected to be the cow's tail.

* In his novel We, The Drowned Marstal native Carsten Jensen describes the maritime history of the town where the men were expected to go to sea and the women to be left behind, an epic tale spanning four generations, nearly one hundred years, and two world wars.

The reason for the usage of this animation was explained by the co-creator Chris Miller, " We like the snappy pose-to-pose animation, more for reasons of comic timing than anything else, things that aren't expected are funnier: If an anvil's going to fall on your head, it had better not take more than three seconds.

We are interested in a bidder's expected value from the auction ( the expected value of the item, minus the expected price ) conditioned on the assumption that the bidder wins the auction.

Even during his brief spells with the group, Mason never quite fit in ; Steve Winwood later recalled " We all Jim Capaldi, and Chris Wood tended to write together, but Dave would come in with a complete song that he was going to sing and tell us all what he expected us to play.