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 E < sub > 0 </ sub > is an infinite negative constant.

S represents the spot where the star light enters the telescope, and E the position of the eye piece.

where " E " is the expected value operator.

These pores allow naturally occurring enteric bacteria, such as E. coli and Enterobacter, to enter the hemocoel, where they multiply and cause sepsis.

Smith was one of " the big three of Weird Tales, along with Robert E. Howard and H. P. Lovecraft, where some readers objected to his morbidness and violation of pulp traditions.

where E < sub > a </ sub > is the activation energy and k < sub > B </ sub > is the Boltzmann constant.

where E = elastic modulus of the material, I < sub > min </ sub >

where E < sub > t </ sub >

where E is a constant.

* Service number ( E. g., 11111 / 00 / 00B, where the first five digits are the ID, the second two are the year the soldier turned 18 years old, the last two digits are the year the soldier enlisted, and the letter is the enlistment group, either A or B )

where E is the electric field and δ < sup > 3 </ sup > is the 3-dimensional delta function.

:# Mark the points E, F, G, H, where each tangent line meets the adjacent tangent.

It is common in particle physics, where mass and energy are often interchanged, to express mass in units of eV / c < sup > 2 </ sup >, where c is the speed of light in a vacuum ( from E = mc < sup > 2 </ sup >).

where E < sub > cell </ sub > is the cell potential measured in volts ( V ) and C < sub > trans </ sub > is the cell current integrated over time and measured in coulombs ( C ); C < sub > trans </ sub > can also be determined by multiplying the total number of electrons transferred ( measured in moles ) times Faraday's constant ( F ).

where the dissociation energies, E < sub > d </ sub >, of the A – B, A – A and B – B bonds are expressed in electronvolts, the factor ( eV )< sup >– ½ </ sup > being included to ensure a dimensionless result.

where the time variable, here represented as E, now represents time in ephemeris centuries of 36525 ephemeris days of 86400 ephemeris seconds.

It follows from Euler's polyhedron formula, V − E + F = 2 ( where V, E, F are the numbers of vertices, edges, and faces ), that there are exactly 12 pentagons in a fullerene and V / 2 − 10 hexagons.

Joey lands a role on a cable television series called Mac and C. H. E. E. S. E., where he stars alongside a robot.

; Incidence matrix: The graph is represented by a matrix of size | V | ( number of vertices ) by | E | ( number of edges ) where the entry edge contains the edge's endpoint data ( simplest case: 1-incident, 0-not incident ).

Raymond E. Brown, a scholar of the social environment where the Gospel and Letters of John emerged, labeled the first and second parts the " Book of Signs " and the " Book of Glory ", respectively.

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.

Tectonic earthquakes occur anywhere in the earth where there is sufficient stored elastic strain energy to drive fracture propagation along a fault plane.

One solution to this problem is to have the air separated from the water by an elastic diaphragm ( similar to an expansion tank ); however, this solution can be problematic in developing countries where replacements are difficult to procure.

Reversible elastic deformation in metals can be described by Hooke's Law for restoring forces, where the stress is linearly proportional to the strain.

Perfectly elastic " collisions " can occur when the objects do not touch each other, as for example in atomic or nuclear scattering where electric repulsion keeps them apart.

where F is the restoring elastic force exerted by the spring ( in SI units: N ), k is the spring constant ( N · m < sup >− 1 </ sup >), and x is the displacement from the equilibrium position ( in m ).

The latter is related to the concept of consumer surplus, such that it can be shown that the Marshallian deadweight loss is zero where demand is perfectly elastic or supply is perfectly inelastic.

It is used instead of yeast for end-products where fermentation flavors would be undesirable or where the batter lacks the elastic structure to hold gas bubbles for more than a few minutes.

The race is also elastic and develops a slight dent where the ball presses on it.

where < var > U < sub > e </ sub ></ var > is the elastic potential energy.

Sometimes flesh colored silk or synthetic material is applied where it will show through the hair at crown and partings, and small bones or elastic are inserted to make the wig fit securely.

The elastic region is the portion of the curve where the material will return to its original shape if the load is removed.

The classical theory of elasticity describes the mechanical properties of elastic solids where stress is proportional to strain in small deformations.

where Is known as the elastic modulus or Young's modulus.

A product or service where price changes cause a relatively big change in marginal demand is said to have an elastic market.

where is elastic area stretch that is reversible and is irreversible area growth described by:

In terms of partial-equilibrium supply and demand, the markets where prices are " cost-determined " have a supply curve that is very elastic or even horizontal, so that an increase in demand raises the quantity of production much more than the price.

where lambda (< var > λ </ var >) is the elastic modulus ; < var > stress </ var > is the restoring force caused due to the deformation divided by the area to which the force is applied ; and < var > strain </ var > is the ratio of the change caused by the stress to the original state of the object.

This velocity is two to three times faster than that of a BB propelled by a typical spring-air BB gun, and so where a typical BB gun might not penetrate the elastic skin of an animal, the higher velocity calibration shot will penetrate the gelatin more than might be expected.

As a result, these materials are used in applications where the super elastic properties or the shape-memory effect can be exploited.

The very large apparently elastic strains are due to the stress-induced martensitic effect, where the crystal structure can transform under loading, allowing the shape to change temporarily under load.

The projectile in a process of elastic collision deflects at an angle of 2 ( where denotes the angle between the armour plate surface and the projectile's initial direction ), however the change of direction could be virtually divided into a deceleration part, when the projectile is halted when moving in a direction perpendicular to the plate ( and will move along the plate after having been deflected at an angle of about ), and a process of elastic acceleration, when the projectile accelerates out of the plate ( velocity along the plate is considered as invariant because of negligible friction ).