where we use the symbol k to denote the quantum numbers p and σ of the previous section and the sign of the energy, E ( k ), and a < sub > k </ sub > denotes the corresponding annihilation operators.

where k has the same p, and opposite σ and sign of the energy.

where σ < sup > 2 </ sup > is the variance.

where μ < sub > 4 </ sub > is the fourth moment about the mean and σ is the standard deviation.

where σ is the Stefan – Boltzmann constant.

for an elliptical orbit with semi-major axis a, of a small body around a spherical body with radius r and average density σ, where T is the orbital period.

where μ < sub > 3 </ sub > is the third moment about the mean μ, σ is the standard deviation, and E is the expectation operator.

where σ determines the spread of k < sub > 1 </ sub >- values about k, and N is the amplitude of the wave.

where σ < sub > ab </ sub > is the commutator of Dirac matrices:

where s < sup > 2 </ sup > is the sample variance of our estimate, σ < sup > 2 </ sup > is the true variance value, d. f.

D4σ is shorthand for the diameter that is 4 times σ, where σ is the standard deviation of the horizontal or vertical marginal distribution.

In facsimile systems, the cooperation factor is the product of the total image scanning length and the scanning density, given by CF = L σ, where L is the scanning line length and σ is the scanning line density, both in compatible units.

The medium-power talker volume, V, is given by V = V < sub > o </ sub > + 0. 115σ < sup > 2 </ sup >, where V < sub > o </ sub > is the average of the talker volume distribution in volume units ( vu ), and σ < sup > 2 </ sup > is the variance of the distribution.

where σ is a 3-vector composed of the Pauli matrices ( used here as generators for the Lie group SL ( 2, C )) and n and m are real 3-vectors on the Poincaré sphere corresponding to one of the propagation modes of the medium.

where μ is the magnetic permeability, ε is the electric permittivity and σ is the electrical conductivity of the material the wave is travelling through.

where J is the current density at a given location in a resistive material, E is the electric field at that location, and σ is a material dependent parameter called the conductivity.

The above equation is sometimes written as J = E where " σ " ( Greek " sigma ") is the conductivity which is the reciprocal of ρ.

Dielectrics are associated with lossless or low-loss materials, where σ /( ωε ’) << 1.

where r < sub > p </ sub > droplet radius, σ surface tension of droplet, ρ density of liquid, M molar mass, T temperature, and R molar gas constant.

where σ denotes the ( root mean square ) measurement uncertainty in x and p < sub > x </ sub > ( and similarly for the y and z directions ) which implies the position and momentum can only be known to arbitrary precision in this limit.

where is the length of the conductor, measured in metres, A is the cross-section area of the conductor measured in square metres, σ ( sigma ) is the electrical conductivity measured in siemens per meter ( S · m < sup >− 1 </ sup >), and ρ ( rho ) is the electrical resistivity ( also called specific electrical resistance ) of the material, measured in ohm-metres ( Ω · m ).

where the true residual variance σ < sup > 2 </ sup > is replaced by an estimate based on the minimised value of the sum of squares objective function S. The denominator, n-m, is the statistical degrees of freedom ; see effective degrees of freedom for generalizations.

To bring the numerical values of parameters μ, σ into the domain where strong inequality holds true one could use the fact that if X is log-normally distributed then X < sup > m </ sup > is also log-normally distributed with parameters μm, σm.

But California is where we're goin ''.

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

Now I wish to enter the American market, where the competition is very strong.

from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.

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.

Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.

Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.

A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.

In a society where everything is for sale, Marlowe is the only man who cannot be bought.

This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.

As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.

`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.

Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.

Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.

She was exposing herself to temptation which it is best to avoid where it can consistently be done.

Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.

but it is perennially restructured in situations where anchors are dragged or lost.

`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.