This formula requires only k multiplications and k − 1 additions, for any array that can fit in memory.

The general formula is set out in section 38 ( 1 ), known as the " 7 / 50 formula ", requires: ( a ) assent from both the House of Commons and the Senate ; ( b ) the approval of two-thirds of the provincial legislatures ( at least seven provinces ) representing at least 50 % of the population ( effectively, this would include at least Quebec or Ontario, as they are the most populous provinces ).

In practice, like Erlang's equations, Engset's formula requires recursion to solve for the blocking or congestion probability.

The only exception to the formula is the Klein bottle, which has Euler characteristic 0 ( hence the formula gives p = 7 ) and requires 6 colors, as shown by P. Franklin in 1934 ( Weisstein ).

Normally used an entry level formula, it has grown into a stand alone series, with National, State and Club events and Championships. The first NASCAR " Strictly Stock " race ever was held at Charlotte Speedway, on June 19, 1949. Where a racing class requires that the cars raced be production vehicles only slightly adapted for racing, manufacturers typically produce a limited run of such vehicles for public sale so that they can legitimately race them in the class.

The formula, thesis-antithesis-synthesis, does not explain why the thesis requires an Antithesis.

A Consistency proof requires ( i ) an axiomatic system ( ii ) a demonstration that it is not the case that both the formula p and its negation ~ p can derived in the system.

More generally, one can count points of Grassmannian over F: in other words the number of subspaces of a given dimension k. This requires only finding the order of the stabilizer subgroup of one such subspace and dividing into the formula just given, by the orbit-stabilizer theorem.

The mass-energy equivalence formula requires isolated systems, since if energy is allowed to escape a system, both relativistic mass and invariant mass will escape also.

Thus creating a fireball requires the following formula: Create Fire.

For example, determining the volume of a sphere requires a significant amount of integral calculus ; but, having done this once, mathematicians can produce a formula to describe the volume in terms of some other parameter ( the radius for example ).

This requires that the universal formula be converted to a formula that is intended to be used only with prescribed units, meaning the numerical quantity is implicitly assumed to be multiplying a particular unit.

To calculate the future value of a stream of savings deposit in the future requires two steps, or, alternatively, combining the two steps into one large formula.

The air resistance of the vehicle, which has a frontal cross section of, requires a power consumption, at or cruising speed, given by the following formula:

( Note that determining anywhere on Earth by this formula requires to be known everywhere on Earth.

Lagrange's formula ( not a difference formula ) allows that also, but going to the next higher degree without re-doing work requires that each term's value be recorded — not a problem with a computer, but maybe awkward with a calculator.

The SEC requires that mutual funds report the average annual compounded rates of return for 1-year, 5-year and 10-year periods using the following formula:

( This is a little inaccurate: Deligne did later show that E ∩ E < sup >⊥</ sup > = 0 by using the hard Lefschetz theorem, this requires the Weil conjectures, and the proof of the Weil conjectures really has to use a slightly more complicated argument with E / E ∩ E < sup >⊥</ sup > rather than E .) An argument of Kazhdan and Margulis shows that the image of the monodromy group acting on E, given by the Picard – Lefschetz formula, is Zariski dense in a symplectic group and therefore has the same invariants, which are well known from classical invariant theory.

Evaluating these remainders one by one is equivalent to the evaluating the usual DFT formula directly, and requires O ( N < sup > 2 </ sup >) operations.

The diagonal lemma also requires that there be a systematic way of assigning to every formula θ a natural number #( θ ) called its Gödel number.

There are several Erlang formulae, including Erlang B, Erlang C and the related Engset formula, based on different models of user behavior and system operation.

Streaming media storage size is calculated from the streaming bandwidth and length of the media using the following formula ( for a single user and file ):

The user would then type a formula into " C " that said " A1 times B1 " ( typically in a form such as or ).

The formula is placed in an agent, a program or macro that can be started by a user or by the Notes server according to a schedule.

The formula was drawn in bkchem and GIMP by user Mykhal.

The exact formula is secret, but it is basically Bid * Quality Score = Ad Rank, where quality score is based on the ad's CTR ( click-through-rate ), the relevance of the ad to the creative ( known as " Quality Index "), and the ' quality ' of the landing page the ad is sending the user to.

Himself a heavy user of these technologies, he repeated his formula from a decade earlier, and in 2003 began writing about these technologies in various publications, as well as on his websites.

The formula is then copied into the other cells in C. A user looking at the sheet would simply see three columns of numbers, and has no way to differentiate which values are the inputs and which the outputs.

For instance, trying to debug a complex formula in Excel simply requires the user to click on the cell and read the formula.

The film centres on a revenge-seeking confidence trickster whose weapon is a universal formula that guarantees victory to its user, when applied to any game or confidence trick.

Then if " Total Sales " view is added to the workbook, the totals would automatically appear there, because the sheet " knows " that is what the formula is for.

If one knows the frequencies a and b of two notes, the number of cents measuring the interval from a to b may be calculated by the following formula ( similar to the definition of decibel ):

Although Kelp knows that his alternate persona is an arrogant person, he cannot prevent himself from continually taking the formula as he enjoys the attention that Love receives.

After finding the formula, Tai-San becomes the only one who knows how to make the antidote.

" Thus K < sub > i </ sub > ( where is a formula of the calculus ) is read " agent i knows.

During the decade that followed, the common man, as that piece put it, grew uncomfortable as the Voice of God and fled from behind Saint Woodrow ( Wilson ) only to learn from Science, to his shocked relief that after all there was no God he had to speak for and that he was just an animal anyhow -- that there was a chemical formula for him, and that too much couldn't be expected of him.

From the formula, we can see the standard deviation is proportional to the square root of the number of rounds played, while the expected loss is proportional to the number of rounds played.

The formula proposes calculation of ALE ( annualised loss expectancy ) and compares the expected loss value to the security control implementation costs ( cost-benefit analysis ).

In the case that the cash flows are random variables, such as in the case of a life annuity, the expected values are put into the above formula.

If the aether were stationary relative to the Sun, Michelson expected ( using his incorrect formula ) that the Earth's motion would produce a fringe shift 4 % the size of a single fringe of yellow light.

The result is the expected formula, where S is the entropy and A the area of the black hole, derived by Bekenstein and Hawking on heuristic grounds.

The North American formula is designed mainly on the basis that it is expected to be applied at low temperatures, when humidity levels are also low, and also for much colder temperatures ( as low as-50F ).

The expected formula is of the form

Private need-based scholarships also often require the results of a FAFSA, which calculates a student's financial need through a formula that looks at the expected family contribution and cost of attendance at the intended college.

The expected time ( T < sub > E </ sub >) is computed using the formula ( O + 4M + P ) ÷ 6.

The design of America's Cup Class boats is controlled by a complex formula which allows designers a fair bit of room to optimize for different expected conditions.

The expected time ( T < sub > E </ sub >) is computed using the beta probability distribution for the time estimates, using the formula ( O + 4M + P ) ÷ 6.

To reduce the error in approximation, Frank Yates, an English statistician, suggested a correction for continuity that adjusts the formula for Pearson's chi-squared test by subtracting 0. 5 from the difference between each observed value and its expected value in a 2 × 2 contingency table .< ref name = Yates > Yates, F ( 1934 ).

This formula is chiefly used when at least one cell of the table has an expected count smaller than 5.

For instance, shared services costs may be allocated among members based on a formula involving expected or actual sales or a combination of factors.

The number of extended ELSs at different lengths is compared with those expected from a non-encoded text, as determined by a formula from Markov chain theory.

First-order wins, based on pure run differential, are the number of expected wins generated by the " pythagenport " formula ( see above ).

By plugging these expected runs scored and allowed into the pythagorean formula, one can generate second-order wins, the number of wins a team deserves based on the number of runs they should have scored and allowed given their component offensive and defensive statistics.

As v = rω for a rotating observer, this result is as expected given the time dilation formula above, and shows the general application of the integral form of the proper time formula.

As expected, the concentration of the unknown will have some error which can be calculated from the formula below.

When applied to the above problem of finding the expected backoff time, the formula becomes simply:

For cases ( expected to be rare ) where a party received more local seats than its share of the party vote, resulting in " overhang seats ", in order to distribute seats proportionally to the remaining parties, the Hare formula would be reapplied using the total

Those familiar with probability theory will recognize the expression given by Dobinski's formula as the nth moment of the Poisson distribution with expected value 1.