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 < 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.

where 144 =

In an adiabatic irreversible process, dQ = 0 is not equal to TdS ( TdS > 0 ) where Q is thermal energy, T is temperature, and S is entropy.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

t < sub > r </ sub > * BW = 0. 35, where t < sub > r </ sub > is rise time in seconds and BW is bandwidth in Hz.

Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.

Set-theoretically, one may represent a binary function as a subset of the Cartesian product X × Y × Z, where ( x, y, z ) belongs to the subset if and only if f ( x, y ) = z.

The Boltzmann distribution is often expressed in terms of β = 1 / kT where β is referred to as thermodynamic beta.

Self-adjoint operators, where A = A < sup >†</ sup >, play an important role in quantum mechanics ; for example, an observable is always described by a self-adjoint operator.

where e = 2. 718 ....

where h ( 0 ) is the height at r = 0 ( the axis ).

where the convention B < sub > 1 </ sub > = + 1 / 2 is used.

where a = 0. 246 nm.

* Place (< span lang = grc > pou </ span >, where ) — examples: in a marketplace, in the Lyceum

The open-chain form of a monosaccharide often coexists with a closed ring form where the aldehyde / ketone carbonyl group carbon ( C = O ) and hydroxyl group (- OH ) react forming a hemiacetal with a new C-O-C bridge.

A simple electric circuit, where current is represented by the letter i. The relationship between the voltage ( V ), resistance ( R ), and current ( I ) is V = IR ; this is known as Ohm's Law.

where r = radius of gyration of cross-section which is equal to the square root of ( I / A ), K = ratio of the longest half sine wave to the actual column length, and KL

P < sub > cr </ sub >/ A, where A = cross-sectional area of the column ), is greater than the proportional limit of the material, the column is experiencing inelastic buckling.

( Note: bandwidth is proportional to where = bit time ) Therefore, the bandwidth of the data signal is and the bandwidth of the spread spectrum signal is.

Since we are assuming circular motion, let r ( t ) = R · u < sub > r </ sub >, where R is a constant ( the radius of the circle ) and u < sub > r </ sub > is the unit vector pointing from the origin to the point mass.

where | v | = Rω is the magnitude of the velocity ( the speed ).

where it already is established that α = ρ.