The `` approximate '' is important, because even after the order of the work has been established by the chance method, the result is not inviolable.

Rhode Island's rate of $.07 per mile is considerably lower than reimburseable rates in the federal government and in industry nationally which approximate a $.09 per mile average.

The approximate equation is Af, where N is the number of Af with electron line-density greater than or equal to Af, and Q is proportional to the mass of the meteorite.

He concluded that the anaconda's maximum length is 12 or 13 ( perhaps 14 ) meters, which would approximate from 39 to 42 feet ( 14 meters is slightly less than 46 feet ).

The restrained gyro-stabilized platform with reasonable response characteristics operates with an approximate equation of motion, neglecting transient effects, as follows: Af where U is a torque applied about the output axis of the controlling gyro.

To test the hypothesis that all treatments have exactly the same effect, the F-test's p-values closely approximate the permutation test's p-values: The approximation is particularly close when the design is balanced.

One Nepōhualtzintzin ( 91 ) represented the number of days that a season of the year lasts, two Nepōhualtzitzin ( 182 ) is the number of days of the corn's cycle, from its sowing to its harvest, three Nepōhualtzintzin ( 273 ) is the number of days of a baby's gestation, and four Nepōhualtzintzin ( 364 ) completed a cycle and approximate a year ( 1 days short ).

This ensures that ΔG and ΔH are nearly the same over a considerable range of temperatures and justifies the approximate empirical Principle of Thomsen and Berthelot, which states that the equilibrium state to which a system proceeds is the one which evolves the greatest amount of heat, i. e. an actual process is the most exothermic one.

Except for a few primitive types such as sponges ( which have no nervous system ) and jellyfish ( which have a nervous system consisting of a diffuse nerve net ), all living animals are bilaterians, meaning animals with a bilaterally symmetric body shape ( that is, left and right sides that are approximate mirror images of each other ).

* Some curves that seem simple, such as the circle, cannot be described exactly by a Bézier or piecewise Bézier curve ; though a four-piece cubic Bézier curve can approximate a circle ( see Bézier spline ), with a maximum radial error of less than one part in a thousand, when each inner control point ( or offline point ) is the distance horizontally or vertically from an outer control point on a unit circle.

More generally, an n-piece cubic Bézier curve can approximate a circle, when each inner control point is the distance from an outer control point on a unit circle, where t is 360 / n degrees, and n > 2.

The approximate generation time for Danio rerio is three to four months.

where Fε < sup >- D </ sup > must be the number of units ε required to obtain L. The fractal dimension is the number of the dimensions of the figure being used to approximate the fractal: 0 for a dot, 1 for a line, 2 for a square.

The treatment of larger molecules that contain a few dozen electrons is computationally tractable by approximate methods such as density functional theory ( DFT ).

The total energy is determined by approximate solutions of the time-dependent Schrödinger equation, usually with no relativistic terms included, and by making use of the Born – Oppenheimer approximation, which allows for the separation of electronic and nuclear motions, thereby simplifying the Schrödinger equation.

This does not imply that the solution is an exact one ; they are all approximate quantum mechanical calculations.

In this type of calculation, there is an approximate Hamiltonian and an approximate expression for the total electron density.

The equation is used for the mathematical process of solving the problem.

A constant is a number that remains the same regardless of the other numbers used in the formula and the resultant equation.

It is a number without which the equation cannot be solved correctly.

The radiation loss from the anode surface was computed according to Af where Af is the mean of the fourth powers of the temperatures Af and Af calculated analogously to equation ( 1 ).

The total volume of the system above the reference height is Af, and H can be eliminated to obtain an equation for the total potential energy of the system in terms of H.

If Af denotes the space of N times continuously differentiable functions, then the space V of solutions of this differential equation is a subspace of Af.

In other words, if F satisfies the differential equation Af, then F is uniquely expressible in the form Af where Af satisfies the differential equation Af.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

This is the principle which we will invoke in every case to set up a functional equation.

The set of equations ( 5 ), ( 6 ), and the starting equation ( 7 ) is of a recursive type well suited to programming on the digital computer.

The equation relating input acceleration to output platform angle is Af.

Once more the fallacious equation is advanced to argue that since business is restricted under the anti-monopoly laws, there must be a corresponding restriction against labor unions: the law must treat everybody equally.

The study of altruism was the initial impetus behind George R. Price's development of the Price equation, which is a mathematical equation used to study genetic evolution.

Then the arithmetic mean is defined via the equation

According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

As an example, the field of real numbers is not algebraically closed, because the polynomial equation x < sup > 2 </ sup > + 1 = 0 has no solution in real numbers, even though all its coefficients ( 1 and 0 ) are real.

The apparent asymmetry in that last equation is due to the fact that, so both update terms are equal to.

The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.

Perhaps the most illuminating example of the reduction of fear through understanding is derived from our increased knowledge of the nature of disease.

But the most fundamental objection he has to poets appears in the Tenth Book, and it is derived from his doctrine of ideal forms.

From this belief is derived the practical orientation of our policy on the `` uncommitted '' ( `` neutralist '', `` contested '' ) nations, especially on those whose leaders make the most noise -- Nehru, Tito, Nkrumah, Sukarno, Betancourt, etc..

Several germanium resistors have been thermally cycled from 300 to 4.2 Af and their resistances have been found to be reproducible within 1/3 millidegree when temperatures were derived from a vapor pressure thermometer whose tubing is jacketed through most of the liquid helium.

Field shifts were derived from the mean value of the resonance line, defined as the field about which the first moment is zero.

The threshold mass is derived from the momentum threshold with the assumption of a mean impact velocity of Af in the U.S. work and Af in the U.S.S.R. work.

The mass scale used in Table 5-1 was derived on the assumption that the motion of the glowing trail is related to the momentum transfer to the trail by the meteorite, permitting the calculation of the mass if the velocity is known ( Cook and Whipple, 1958 ).

Therefore, N is inversely proportional to the radius cubed and in fair agreement with the inverse 7/2 power derived from 1958 Alpha and 1959 Eta data.

This pleural supply is derived both from hilar and interlobular bronchial artery branches.

This sort of manipulation is especially troublesome in Fromm's work because, although his system is derived largely from certain philosophic convictions, he asserts that it is based on empirical findings drawn both from social science and from his own consulting room.

It is curious that at its best, the work of this school of painting -- Mark Rothko, Jackson Pollock, Clyfford Still, Robert Motherwell, Willem De-Kooning, and the rest -- resembles nothing so much as the passage painting of quite unimpressive painters: the mother-of-pearl shimmer in the background of a Henry McFee, itself a formula derived from Renoir ; ;

From Fig. 6 the relationship between these parameters can readily be derived and the cutting force is Af where **yl is the shear strength of the coating and is a parameter of the coatings material, W is the width of the removed coating and T is its thickness.

It is an experience of a new depth of community derived from an awareness of the corporate indwelling of Christ in His people.

Albedo (), or reflection coefficient, derived from Latin albedo " whiteness " ( or reflected sunlight ), in turn from albus " white ", is the diffuse reflectivity or reflecting power of a surface.

The order of the books ( or the teachings from which they are composed ) is not certain, but this list was derived from analysis of Aristotle's writings.

Chaâbi music is a typically Algerian musical genre that was derived from the Andalusian music during the 1920s.

The spelling Ἀπόλλων had almost superseded all other forms by the beginning of the common era, but the Doric form Απέλλων is more archaic, derived from an earlier * Απέλjων.