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coefficient and metric
Another commonly used metric for assessing the quality of a Guttman scale, is Menzel's coefficient of scalability and the coefficient of homogeneity ( Loevinger, 1948 ; Cliff, 1977 ; Krus and Blackman, 1988 ).
In these sciences, ' kinship ' is commonly used as a short hand for ' the regression coefficient of ( genetic ) relatedness ', which is a metric denoting the proportion of shared genetic material between any two individuals relative to average degrees of genetic variance in the population under study.
As a performance metric, the uncertainty coefficient has the advantage over simple accuracy in that it is not affected by the relative sizes of the different classes.
The clustering coefficient is a metric that represents the density of triangles in the network.
This coefficient is, deliberately, not a distance metric.

coefficient and tensor
It states that matrix elements of spherical tensor operators on the basis of angular momentum eigenstates can be expressed as the product of two factors, one of which is independent of angular momentum orientation, and the other a Clebsch-Gordan coefficient.
where is a rank spherical tensor, and are eigenkets of total angular momentum and its z-component, has a value which is independent of and, and is the Clebsch-Gordan coefficient for adding and to get.
The matrix element one finds for the spherical tensor operator is proportional to a Clebsch-Gordan coefficient, which arises when considering adding two angular momenta.
More formally, the electrostriction coefficient is a fourth rank tensor (), relating second order strain () and first order polarization tensors (, ).
In such cases it is necessary to treat the coefficient of thermal expansion as a tensor with up to six independent elements.
The first invariant of an n × n tensor A () is the coefficient for ( coefficient for is always 1 ), the second invariant () is the coefficient for, etc., the nth invariant is the free term.

coefficient and is
Another effect discovered is the large coefficient of thermal diffusion tending to separate nitrogen from the oxygen when temperature differences straddling the nitrogen dissociation region are present.
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.
# Closely related to the ANOVA is a linear model fit with coefficient estimates and standard errors.
An algebraic integer is an algebraic number which is a root of a polynomial with integer coefficients with leading coefficient 1 ( a monic polynomial ).
The higher value for alpha radiation is generally attributable to the high linear energy transfer ( LET ) coefficient, which is about one ionization of a chemical bond for every angstrom of travel by the alpha particle.
Moreover, if any coefficient is a fixed power of 2, the multiplication can be replaced by bit shifting.
auxiliary regression is TR < sup > 2 </ sup >, where T is the sample size and R < sup > 2 </ sup > is the coefficient of determination.
There are two parts to Einstein's theory: the first part consists in the formulation of a diffusion equation for Brownian particles, in which the diffusion coefficient is related to the mean squared displacement of a Brownian particle, while the second part consists in relating the diffusion coefficient to measurable physical quantities.
He writes for the diffusion coefficient, where is the osmotic pressure and is the ratio of the frictional force to the molecular viscosity which he assumes is given by Stokes's formula for the viscosity.
Note that t < sup > 0 </ sup > = 1, ( 1 − t )< sup > 0 </ sup > = 1, and that the binomial coefficient,, also expressed as or is:
They are indexed by two nonnegative integers ; the binomial coefficient indexed by n and k is usually written.
It is the coefficient of the x < sup > k </ sup > term in the polynomial expansion of the binomial power ( 1 + x )< sup > n </ sup >.
Under suitable circumstances the value of the coefficient is given by the expression.
For any set containing n elements, the number of distinct k-element subsets of it that can be formed ( the k-combinations of its elements ) is given by the binomial coefficient.
This shows in particular that is a natural number for any natural numbers n and k. There are many other combinatorial interpretations of binomial coefficients ( counting problems for which the answer is given by a binomial coefficient expression ), for instance the number of words formed of n bits ( digits 0 or 1 ) whose sum is k is given by, while the number of ways to write where every a < sub > i </ sub > is a nonnegative integer is given by.

coefficient and square
Statistical formulas such as regression, uncertainty coefficient, t-test, chi square, and various types of ANOVA ( analyses of variance ) are fundamental to forming logical, valid conclusions.
and for an observer at a constant value of r, the rate at which a clock ticks, R ( r ), is the square root of the time coefficient, R ( r )= r.
The reflectance or reflectivity is thus the square of the magnitude of the reflection coefficient.
Ignoring air resistance, the square root of the ratio of the height of one bounce to that of the preceding bounce gives the coefficient of restitution for the ball / surface impact.
The geometry of the phase space can be viewed as a hint that the quantity in quantum mechanics which corresponds to the probability is the absolute square of the coefficient of the superposition.
If the quantity is measured, the value of the physical quantity will be random, with a probability equal to the square of the coefficient of the superposition in the linear combination.
Note that the leading coefficient of the polynomial bx − a is the integer b. As another special case, the square root √ n of a non-negative integer n is an algebraic integer, and so is irrational unless n is a perfect square.
It expresses the solution in terms of the determinants of the ( square ) coefficient matrix and of matrices obtained from it by replacing one column by the vector of right hand sides of the equations.
Airships and bodies of revolution use the volumetric coefficient of drag, in which the reference area is the square of the cube root of the airship's volume.
For sharp-cornered bluff bodies, like square cylinders and plates held transverse to the flow direction, this equation is applicable with the drag coefficient as a constant value when the Reynolds number is greater than 1000 .< ref >
Airships and some bodies of revolution use the volumetric drag coefficient, in which the reference area is the square of the cube root of the airship volume.
The 1983 Fiat Uno designed by Giorgetto Giugiaro, its tall, square body utilising a Kamm tail achieved a low drag coefficient of 0. 34 won much praise for airy interior space and fuel economy.
However, the rate constant for the Kisliuk model ( R ’) is different to that of the Langmuir model, as R ’ is used to represent the impact of diffusion on monolayer formation and is proportional to the square root of the system ’ s diffusion coefficient.
For all vehicles traveling through air, the force of drag is proportional to the coefficient of drag ( C < sub > d </ sub >), to the square of the airspeed and to the air density.
The Wald statistic is the ratio of the square of the regression coefficient to the square of the standard error of the coefficient and is asymptotically distributed as a chi-square distribution.
A square matrix has an inverse if and only if its determinant has an inverse in the coefficient ring.
The reason for squaring the coefficient is that if an electron is described by an AO, then the square of the AO gives the electron density.
In any perfect square, the number p is always half the coefficient of x, and the constant term is equal to p < sup > 2 </ sup >.
it is possible to factor out the coefficient a, and then complete the square for the resulting monic polynomial.
The next step is to insert a variable y into the perfect square on the left side of equation ( 2 ), and a corresponding 2y into the coefficient of u < sup > 2 </ sup > in the right side.

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