Determine the ratio that the amount being allotted is to the sum of the products for all the States.

An example of the overall standards applied is the 20-to-1 ratio established for the determination of that degree of cochannel interference which is regarded as objectionable.

A cylinder's compression ratio is computed by comparing the cylinder's volume, or its displacement, with the total volume of the cylinder and its combustion chamber.

The compression ratio is 10 to 1.

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

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

The ratio of the measured antenna temperature change during a drift scan across the moon to the average brightness temperature of the moon over the antenna beam ( assuming that the brightness temperature of the sky is negligible ) was found, by graphical integration of the antenna directivity diagram, to be 0.85.

A well-publicized entrant which has achieved success only recently is the built liquid detergent, with which the major problem today is incorporation of builder and active into a small volume using a sufficiently high builder/active ratio.

It will be seen that where the scope is similar, the Athabascan ratios come out somewhat higher ( as indeed they ought to with a total ratio of 2.8 as against 3.5 or 4: 5 ) except for verbs, where alone the Athabascan ratio is lower.

They might, for example, plot it exactly as is, or they might make ten day moving averages of it, or longer moving averages, or they might simply plot the ratio of odd-lot purchases to odd-lot sales.

The ratio is thoroughly remarkable, because the lines are so long -- half again as long as those of Beowulf.

The gallium / germanium ratio is higher than that for ordinary igneous, metamorphic, or sedimentary matter as a result of selective volatilization of the components of the tektite.

Graph in Fig. 1, p. 392, indicates how the ratio of compressive strength to density varies as the latter is increased or decreased.

For circular fibers in a closely packed hexagonal array, the packing efficiency is given by: Af where Af, and 0.906 is the ratio of the area of a circle to that of the circumscribed hexagon.

It is defined as the ratio of reflected radiation from the surface to incident radiation upon it.

significance of the experiment is determined by a ratio of two

Using the F-distribution is a natural candidate because the test statistic is the ratio of two scaled sums of squares each of which follows a scaled chi-squared distribution.

The ratio between the value of the energy gap at zero temperature and the value of the superconducting transition temperature ( expressed in energy units ) takes the universal value of 3. 5, independent of material.

The 1960 Cypriot Constitution provided for a presidential system of government with independent executive, legislative, and judicial branches, as well as a complex system of checks and balances including a weighted power-sharing ratio designed to protect the interests of the Turkish Cypriots.

The simplest Cauchy distribution is called the standard Cauchy distribution is the distribution of a random variable that is the ratio of two independent standard normal random variables.

When U and V are two independent normally distributed random variables with expected value 0 and variance 1, then the ratio U / V has the standard Cauchy distribution.

Over any horizontal interval, the ratio of the area under the catenary to its length equals a, independent of the interval selected.

The ratio of the voltage applied across a resistor's terminals to the intensity of current in the circuit is called its resistance, and this can be assumed to be a constant ( independent of the voltage ) for ordinary resistors working within their ratings.

On the surface of the Earth, the acceleration due to gravity ( the " strength of gravity ") is approximately constant ; this means that the ratio of the weight force of a motionless object on the surface of the Earth to its mass is almost independent of its location, so that an object's weight force can stand as a proxy for its mass, and vice versa.

More recently, the question has changed: Precision observations of the cosmic microwave background radiation with the Wilkinson Microwave Anisotropy Probe ( WMAP ) give an independent value for the baryon-to-photon ratio.

The Fellgett advantage, also known as the multiplex principle, states that when obtaining a spectrum when measurement noise is dominated by detector noise ( which is independent of the power of radiation incident on the detector ), a multiplex spectrometer such as a Fourier transform spectrometer will produce a relative improvement in signal-to-noise ratio, compared to an equivalent scanning monochromator, of the order of the square root of m, where m is the number of sample points comprising the spectrum.

For instance, if body A exerts a force of magnitude F on body B, and B exerts a force of magnitude f on A, then the ratio F / f is always equal to 1, regardless of the actual units used to measure F and f. This is a fundamental property of dimensionless proportions and follows from the assumption that the laws of physics are independent of the system of units used in their expression.

Although, in the case of gases only, the speed of sound may be expressed in terms of a ratio of both density and pressure, these quantities are not fully independent of each other, and canceling their common contributions from physical conditions leads to a velocity expression using the independent variables of temperature, composition, and heat capacity noted above.

This equation is correct to a much wider temperature range, but still depends on the approximation of heat capacity ratio being independent of temperature, and for this reason will fail, particularly at higher temperatures.

The first was the chain drive, originally used on tricycles, allowing a gear ratio to be chosen independent of the wheel size.

The Q is a measure of the ratio of reactance to resistance, so with a fixed radiation resistance ( an element's radiation resistance is almost independent of its diameter ) a greater reactance off-resonance corresponds to the poorer bandwidth of a very thin conductor.

One theoretical case where the beta distribution arises is as the distribution of the ratio formed by one random variable having a Gamma distribution divided by the sum of it and another independent random variable also having a Gamma distribution with the same scale parameter ( but possibly different shape parameter ).

The ratio of the kinetic energies is the same as the ratio of the masses ( and is independent of velocity ).

This controversy points out that measure of capital intensity is not independent of the distribution of income, so that changes in the ratio of profits to wages lead to changes in measured capital intensity.

The likelihood ratio R < sup > 2 </ sup > is often preferred to the alternatives as it is most analogous to R < sup > 2 </ sup > in linear regression, is independent of the base rate ( both Cox and Snell and Nagelkerke R < sup > 2 </ sup > s increase as the proportion of cases increase from 0 to. 5 ) and varies between 0 and 1.

Deming regression is equivalent to the maximum likelihood estimation of an errors-in-variables model in which the errors for the two variables are assumed to be independent and normally distributed, and the ratio of their variances, denoted δ, is known.

where errors ε and η are independent and the ratio of their variances is assumed to be known:

Most importantly, the maximum lift-to-drag ratio is independent of the weight of the aircraft, the area of the wing, or the wing loading.

There is still some disagreement in a sense, because all the observers believe their own local clocks are correct, but the direction and ratio of gravitational time dilation is agreed by all observers, independent of their altitude.

Following observation of the fact that the reaction rates of supposedly identical reaction mixtures prepared on the same filling manifold and exposed under identical conditions often differed by several hundred per cent, a systematic series of experiments was undertaken to see whether the difficulty could be ascribed to the method of preparing the chlorine, to the effects of oxygen or moisture or to the effect of surface to volume ratio in the reaction tubes.

Variations in < sup > 53 </ sup > Cr /< sup > 52 </ sup > Cr and Mn / Cr ratios from several meteorites indicate an initial < sup > 53 </ sup > Mn /< sup > 55 </ sup > Mn ratio that suggests Mn-Cr isotopic composition must result from in-situ decay of < sup > 53 </ sup > Mn in differentiated planetary bodies.

Engelhard discovered that the ratio of iron to protein is identical in the hemoglobins of several species.

Variations in < sup > 53 </ sup > Cr /< sup > 52 </ sup > Cr and Mn / Cr ratios from several meteorites indicate an initial < sup > 53 </ sup > Mn /< sup > 55 </ sup > Mn ratio that suggests Mn – Cr isotopic composition must result from in situ decay of < sup > 53 </ sup > Mn in differentiated planetary bodies.

Where there are several members of a court, there may be one or more judgments given ; only the ratio decidendi of the majority can constitute a binding precedent, but all may be cited as persuasive, or their reasoning may be adopted in argument.

The obiter dicta is usually translated as " other things said ", but due to the high number of judges and several personal decisions, it is often hard to distinguish from the ratio decidendi ( reason for the decision ).

For the first several decades of television broadcasting, sets displayed images with a 4: 3 aspect ratio in which the width is 1. 33 times the height — similar to most theatrical films prior to 1960.

To achieve high signal-to-noise ratio, delta modulation must use oversampling techniques, that is, the analog signal is sampled at a rate several times higher than the Nyquist rate.

Such appreciably nonzero values of inclination and eccentricity, though still small, are unusual for an inner satellite and can be explained by the influence of the innermost Galilean satellite, Io: in the past Amalthea has passed through several mean motion resonances with Io that have excited its inclination and eccentricity ( in a mean motion resonance the ratio of orbital periods of two bodies is a rational number like m: n ).

* Quantitative accuracy depends on several parameters such as: signal-to-noise ratio, peak intensity, accuracy of relative sensitivity factors, correction for electron transmission function, surface volume homogeneity, correction for energy dependency of electron mean free path, and degree of sample degradation due to analysis.

The book consists of several sections on the parallel postulate ( Book I ), on the Euclidean definition of ratios and the Anthyphairetic ratio ( modern continued fractions ) ( Book II ), and on the multiplication of ratios ( Book III ).

Variations in the ratio of acid to ore, the extent of heating, and the extent to which water was added afterwards led to several different processes to separate thorium from the lanthanides.

Working also as a proofreader, he published several more books which dealt with medicine and pharmacology, such as his Syruporum universia ratio ( Complete Explanation of the Syrups ), which became a very famous work.

Madagascar contains several important biospheres, as its Biodiversity and ratio of endemicism is extremely high.

Sabrina had a natural waist-hip ratio of 0. 47, from the waist measurement of 17 " and her hips at 36 " when she first started modelling, although she deliberately filled out in later years when advised by several model agencies.

For example, if a rat is trained to respond to a rectangle of a particular aspect ratio, and to avoid a square, when later presented with several rectangles it will prefer the one with the most elongated aspect ratio ( this being the one that is most different from the square ) rather than the original rectangle used in training.

Such food staples have fundamentally altered several key nutritional characteristics of the human diet since the Paleolithic era, including glycemic load, fatty acid composition, macronutrient composition, micronutrient density, acid-base balance, sodium-potassium ratio, and fiber content.

Pearson's chi-squared test ( χ ) is the best-known of several chi-squared tests ( Yates, likelihood ratio, portmanteau test in time series, etc.

One or both of the coils usually had several taps which could be selected with a switch, to adjust the turns ratio.

Gene therapy has to be repeated several times for the infected patient to continually be relieved, however, as repeated cell division and cell death slowly randomizes the body's ratio of functional-to-mutant genes.

The gear ratio in an epicyclic gearing system is somewhat non-intuitive, particularly because there are several ways in which an input rotation can be converted into an output rotation.

Armalcolite crystals up to several millimeters in length can be grown by mixing powders of iron, titanium and magnesium oxides in an appropriate ratio, melting them in a furnace at about 1400 ° C, letting the melt crystallize for a few days at about 1200 ° C, and then quenching the crystals to the ambient temperature.

The size and concentration of cattle creates major environmental issues associated with manure handling and disposal, which requires substantial areas of cropland ( a ratio of 5 or 6 cows to the acre, or several thousand acres for dairies of this size ) for manure spreading and dispersion, or several-acre methane digesters.