Here are the remains of a Roman town, belonging to the 1st and 2nd centuries, extending over an area of some 600 by 500 meters (( 2, 000 by 1, 600 ft ), and consisting of fine buildings along the lagoons, including a large open piscina or basin, surrounded by a double portico, while farther inland are several very large and well-preserved water-reservoirs, supplied by an aqueduct of which traces may still be seen.

Here each of the three denominators n, ( n − 2 )/ 3 + 1, and n (( n − 2 )/ 3 + 1 ) is a polynomial of n, and each is an integer whenever n is 2 ( mod 3 ).

Here C < sub > p </ sub > is the heat capacity at constant pressure and α is the coefficient of ( cubic ) thermal expansion

Here constant α quantifies the strength of the interaction between adjacent molecules.

Here the scattering is due to the molecular polarizability α, which describes how much the electrical charges on the molecule will move in an electric field.

Here u ( x, t ) is the temperature of the rod at position x and time t and α is a constant that depends on how fast heat diffuses through the rod.

Here Δk is the field-dependent difference between LCP and RCP absorption, α is the electric permeability, n is the index of refraction, H is the applied magnetic field, k is the Boltzmann constant and T is the temperature.

Here, α, β, and γ are the angles at the center of the sphere subtended by the three arcs of the spherical surface triangle a, b, and c, respectively.

( Here the term κ-additive means that, for any sequence A < sub > α </ sub >, α < λ of cardinality λ < κ, A < sub > α </ sub > being pairwise disjoint sets of ordinals less than κ, the measure of the union of the A < sub > α </ sub > equals the sum of the measures of the individual A < sub > α </ sub >.

Here, < sup > α </ sup > M is the class of all sequences of length α whose elements are in M.

( Here α and β are real and i represents the imaginary unit.

Here, glycogen phosphorylase cleaves the bond linking a terminal glucose residue to a glycogen branch by substitution of a phosphoryl group for the α linkage.

Here ω < sup > α </ sup >< sub > β </ sub > defines a k × k matrix of one-forms on U. In fact, given any such matrix the above expression defines a connection on E restricted to U. This is because ω < sup > α </ sup >< sub > β </ sub > determines a one-form ω with values in End ( E ) and this expression defines ∇ to be the connection d + ω, where d is the trivial connection on E over U defined by differentiating the components of a section using the local frame.

Here satisfies α² = α − 41.

Here F ( s ) denotes the Laplace transform of ƒ, and this property expresses that I < sup > α </ sup > is a Fourier multiplier.

: Here, α is √ 2 < sup >√ 2 </ sup > which ( as proved by the theorem itself ) is transcedental rather than algebraic.

Here, a, b, and c are the angles at the centre of the sphere subtended by the three sides of the triangle, and α, β, and γ are the angles between the sides, where angle α is opposite the side which subtends angle a, and so forth.

Here we have c < sup > a </ sup > for the ghost field while α fixes the gauge's choice for the quantization.

Here n ( G ) is the order of G, α ( G ) is the independence number, ω ( G ) is the clique number, and χ ( G ) is the chromatic number.

Here, we have < tt >( λx. xx )( λx. xx ) → ( xx ):= λx. xx = ( x := λx. xx )( x := λx. xx ) = ( λx. xx )( λx. xx )</ tt >.

Here e ( x → a ) is the evaluation which gives x the

Here π: P → X is required to be a smooth map between smooth manifolds, G is required to be a Lie group, and the corresponding action on P should be smooth.

Here FG: D → D and GF: C → C, denote the respective compositions of F and G, and I < sub > C </ sub >: C → C and I < sub > D </ sub >: D → D denote the identity functors on C and D, assigning each object and morphism to itself.

Here if f, g: X → Y are group homomorphisms, their coequalizer is the quotient of Y by the normal closure of the set

Here a function type is often denoted A → B, following mathematical convention, or B < sup > A </ sub >, based on the fact that there exist exactly B < sup > A </ sub > ( exponentially many ) set-theoretic functions mapping A to B.

Here I: Mon → Grp is the functor sending every monoid to the submonoid of invertible elements and K: Mon → Grp the functor sending every monoid to the Grothendieck group of that monoid.

Here, the choice is mostly between Latin letters with diacritics, as used in many Latin-based orthographies of other Slavic languages, and digraph combinations, as used in English: ж → ž / zh, ч → č / ch, ш → š / sh, щ → št / ŝ / sht.

Let V be a smooth vector field on a smooth manifold M. There is a unique maximal flow D → M whose infinitesimal generator is V. Here D ⊆ R × M is the flow domain.

( Here β < sub > N </ sub > = β /( I / aB ) is the normalized beta.

Here, β is a function of the geometry of the space-time in which the string moves.

Here, β = 1 / kT, where k is Boltzmann's constant, and T is the temperature.

Here x and t are spacetime coordinates, (,) is the Killing form of a real r-dimensional Cartan algebra of a Kac-Moody algebra over, α < sub > i </ sub > is the i < sup > th </ sup > simple root in some root basis, n < sub > i </ sub > is the Coxeter number, m is the mass ( or bare mass in the quantum field theory version ) and β is the coupling constant.

is symmetric in s and t. Here β is the Bockstein operation and ( Ad β ) P

Here the capacitance of capacitor C1 is multiplied by the transistor's current gain ( β ).

Here, on the hottest day, it is cool beneath the stone and fresh from the water flowing in the sluices at the bottom of the vaults.

Here in these little rooms -- or stages arched open to the sky and river -- they choose a few lines out of the hundreds they may know and sing them according to one of the modes into which Persian music is divided.

Here, on a desk, is a stack of pamphlets representing the efforts of some of the best men of the day to penetrate these questions.

Here, if anywhere, it is not wholly incontrovertible.

Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.

Here an important caveat is in order.

Here, then, is what Swift would have called a modest proposal by way of a beginning.

But this we know: Here is a great life that in every area of American politics gives the American people occasion for pride and that has invested the democratic process with the most decent qualities of honor, decency, and self-respect.

Here is a word of advice when you go shopping for your pansy seeds.

Here then is our problem: aircraft are vital to winning a war today because they can perform those missions which a missile is totally incapable of performing ; ;

Here is truly a `` Great Recording of the Century '', and its greatness is by no means diminished by the fact that it is not quite perfect.

Here is an original kedgeree recipe from the Family Club's kitchen:

Here is the promise of a vacation trip they can afford.

Here is where things stand today:

Here the Af distance is 2.44 Aj.

Here the pulmonary vein, as in type 2,, is noted to draw away from the bronchus, and to follow a more direct, independent course to the hilum ( figs. 23, 24 ).

Here the number of trials is a random variable, not a fixed number.

Here there is a specific preventive component which applies in a more generalized sense to any casework situation.

( Here an entry is a form plus the information that pertains to it.

Here again, in the written language it is possible to help the reader get his stresses right by using underlining or italics, but much of the time there is simply reliance on his understanding in the light of context.

Here is the best short explanation of the origins of the Cold War that has been written.