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.

As a further characterization of the liberal conservative split we may observe that it involves differences in the formula for escaping inevitabilities in history.

A more dangerous formula for national frustration cannot be imagined.

As is the case with the allotment provisions for support of vocational rehabilitation services, the matching requirements are also based on a statutory formula.

The 1958 military pay act departed from this established formula by providing for a 6% increase rather than a proportionate increase for everyone retired prior to its effective date of June 1, 1958.

A mathematical formula is nothing more than a pattern for solving a specific problem.

Actually, the engine displacement formula is the standard formula for computing the volume of a cylinder of any type with an added factor that represents the number of cylinders in the engine.

Cylinder volume is determined in exactly the same manner as for the displacement formula: Af.

The formula for this step is: Af.

To determine car speed for a given combination of engine speed, gear ratio, and tire size, the formula is: Af.

To determine engine speed for a given combination of the other three factors the formula is: Af.

To determine the rear axle gear ratio for a combination of the other three factors, the formula is: Af.

We shall find a formula for the probability of exactly X successes for given values of P and N.

This was not a search for a `` magic formula '', but rather an examination of basic principles pertaining especially to all types of communication in marriage.

Cell dimensions, number of formula units per cell, space group, and specific gravity are given for all substances.

A sufficiently good approximation for determining the end reflection losses R can be obtained from the angle independent Fresnel formula: Af.

A patient could receive up to 300 days paid-for nursing home care under a `` unit formula '' allowing more of such care for those who use none or only part of the hospital-care credit.

The new formula for filling staff positions in the Secretariat is one of a number of recommendations made by a panel of eight in a long and detailed report.

A formula to supply players for the new Minneapolis Vikings and the problem of increasing the 1961 schedule to fourteen games will be discussed by National Football League owners at a meeting at the Hotel Warwick today.

In calculus, the chain rule is a formula for computing the derivative of the composition of two or more functions.

In the context of computing asymptotic expansions of sums and series, usually the most useful form of the Euler – Maclaurin formula is

At this time the work of Cavalieri with his method of indivisibles, and work by Fermat, began to lay the foundations of modern calculus, with Cavalieri computing the integrals of x < sup > n </ sup > up to degree in Cavalieri's quadrature formula.

The following formula reduces the problem of computing the least common multiple to the problem of computing the greatest common divisor ( GCD ):

To illustrate how one may use Newton's formula in actual practice, consider the first few terms of the Fibonacci sequence f = 2, 2, 4 ... One can find a polynomial that reproduces these values, by first computing a difference table, and then substituting the differences which correspond to x < sub > 0 </ sub > ( underlined ) into the formula as follows,

By contrast, ext2 and other Berkeley FFS-like file systems of that time simply used a fixed formula for computing inode locations, hence limiting the number of files they may contain.

IGRP uses the same basic formula for computing the overall metric, the only difference is that in IGRP, the formula does not contain the scaling factor of 256.

Here is a type synonym for points in the plane, and functions computing the distances between two points, and the area of a triangle with the given corners as per Heron's formula.

In computing, a formula typically describes a calculation, such as addition, to be performed on one or more variables.

This method for computing the price elasticity is also known as the " midpoints formula ", because the average price and average quantity are the coordinates of the midpoint of the straight line between the two given points.

There is a simple formula in elementary algebra for computing the square of a binomial:

The fastest known algorithm for computing the exact number of satisfying assignments to a 2SAT formula runs in time.

* Cauchy-Crofton theorem is a closely related formula for computing the length of curves in space.

Hence the alternate formula for computing the combined probability:

The cost of computing the determinant of a tridiagonal matrix using this formula is linear in n, while the cost is cubic for a general matrix.

An interesting sub-application of this formula is in computing squares of numbers ending in five.

For each program there should be three groups of formulas: a formula or chart to compute ( daily ) target consumption, a formula for computing the cost of foods, and a formula for computing the value of activity under the program to earn extra consumption.

Another reason can be seen by looking at the formula for the kurtosis of the sum of random variables.

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.

So if it's not known whether a number n is prime or composite, we can pick a random number a, calculate the Jacobi symbol and compare it with Euler's formula ; if they differ modulo n, then n is composite ; if they're the same modulo n for many different values of a, then n is " probably prime ".

* In probability theory, the characteristic function of any probability distribution on the real line is given by the following formula, where X is any random variable with the distribution in question:

Expressed mathematically, the confidence that a result is not by random chance is given by the following formula by Sackett:

The formula still holds for a particle with a high velocity relative to the velocities of an ensemble of identical particles with random locations.

In simple situations, this probability can be derived with 1 ) the standard error calculation introduced earlier, 2 ) the formula for the variance of the difference of two random variables, and 3 ) an assumption that if anyone does not choose Kerry they will choose Bush, and vice versa ; they are perfectly negatively correlated.

In probability theory, the law of total variance or variance decomposition formula, also known by the acronym EVVE ( or Eve's law for short ), states that if X and Y are random variables on the same probability space, and the variance of Y is finite, then

This formula may be derived from what we know about the variance of a sum of independent random variables.

Consider a probabilistic algorithm that, given a formula F ( x < sub > 1 </ sub >, x < sub > 2 </ sub >, ..., x < sub > n </ sub >) chooses an assignment x < sub > 1 </ sub >, x < sub > 2 </ sub >, ..., x < sub > n </ sub > uniformly at random.

Phantasy Star III mostly follows the traditional roleplaying game formula seen throughout the series, with exploration of several 2-D worlds, character recruitment, and random enemy encounters using a turn-based battle system.

Ewens ' sampling formula, introduced by Warren Ewens, states that under certain conditions ( specified below ), if a random sample of n gametes is taken from a population and classified according to the gene at a particular locus then the probability that there are a < sub > 1 </ sub > alleles represented once in the sample, and a < sub > 2 </ sub > alleles represented twice, and so on, is

Poly ( hydridocarbyne ) ( PHC ) is one of a class of carbon-based random network polymers primarily composed of tetrahedrally hybridized carbon atoms, each having one hydride substituent, exhibiting the generic formula n. PHC is made from bromoform, a liquid halocarbon that is commercially manufactured from methane.

The maximum number of numbers the formula can produce is the modulus, m. To avoid certain non-random properties of a single linear congruential generator, several such random number generators with slightly different values of the multiplier coefficient a can be used in parallel, with a " master " random number generator that selects from among the several different generators.