Let ρ, θ, and φ be spherical coordinates for the source point P. Here θ denotes the angle with the vertical axis, which is contrary to the usual American mathematical notation, but agrees with standard European and physical practice.

Here denotes vertical composition of natural transformations, and denotes horizontal composition.

Here, a vertical line ( black ) is drawn perpendicular to the plane of each planet's orbit.

Here, the horizontal axis gives the position and vertical axis the velocity.

Here erosion has created vertical channels giving the characteristic jagged shapes for which the mountain is named ( Montserrat literally means " jagged mountain ").

Here, the wave is said to be ducted or trapped, and a vertically standing wave may form, where the vertical component of group velocity approaches zero.

To reach the water in the cave one has either to abseil or to descend an ancient, hand-forged ladder that hangs free of the vertical dolomite walls of the cave for over 50 m. Here, too, SCUBA divers have descended as deep as they have dared ( 80 m ) in the crystal-clear waters and have reported nothing but deep blue below them from one ledge of dolomite to the next with nothing discernible in the depths.

Here is an image for which the alt attribute is " In the sky flies a red flag with a white cross whose vertical bar is shifted toward the flagpole.

" Here the Goums more than proved their value as light, highly mobile mountain troops who could penetrate the most vertical terrain in fighting order and with a minimum of logistical requirements.

Here the " bars " are extremely thin metal " wires ", and the " switches " are fusible links.

Here are bars 15 and 16, the ending of the first section ( bar 24 exhibits a similar pattern ):

Here there are a smaller variety of restaurants and bars with views across the harbour and the sea to the volcanic mountains of Papagayo beyond to views of the next island of Fuerteventura.

Here, is the Euclidean norm ( denoted customarily by single bars in PDEs ), and is time.

Here, the bars never sleep.

Here, dozens of people handing out flyers stop pedestrians and drivers advertising gay bars and men ’ s clubs, some of which operate illegally.

Here he found and shipped to the Smithsonian Institution nine barrels of prehistoric fossils from the sand bars prevalent on the lower Peace River.

Here | u | and | v | denote the length of the strings respectively.

Here we denote with the Bernoulli number of the second kind ( only because the historical reason of formation of this article ) which differ from the first kind only for the index 1.

Here a < sub > 1 </ sub >, ..., a < sub > m </ sub > denote the rows of the matrix A.

( Here V0, V1, and V2 denote verbs and Ny denotes a noun.

Here we denote a pair of corresponding lower and upper adjoints by f < sup > ∗</ sup > and f < sub > ∗</ sub >, respectively.

Here a and l denote radius and length of the wire, and Y is a constant that depends on the distribution of the current in the wire: Y =

Here ε and µ denote dielectric constant and magnetic permeability of the medium the conductors are embedded in.

Here, ran and dom denote the range and the domain, respectively.

Here the chain rule has been applied, and the subscripts denote partial derivatives (, ).

Here, the term energy is used in the generalized sense of signal processing to denote a variance of the signal.

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 d < sub > X </ sub > and d < sub > Y </ sub > denote the metrics on X and Y respectively.

Here, let R < sup > n + 1 </ sup > denote the real coordinate space of n + 1 dimensions, and regard the landscape to be painted as a hyperplane in this space.

Here we denote transpose by an apostrophe.

Here " T +" or " T −" denote that the result of the test is positive or negative, respectively.

Here, it has to be noted that the military manuals of Asclepiodotus and Aelian use the term lochos to denote a file in the phalanx.

Here, we use to denote the braiding map associated to the permutation ( represented as a product of disjoint cyclic permutations ).

Here let denote the Riemann tensor, regarded as a tensor in.

Here,, and will be used to denote the initial velocity, the velocity along the direction of < var > x </ var > and the velocity along the direction of < var > y </ var >, respectively.

Here, overdots denote differentiation with respect to proper time, counted off along our timelike congruence ( i. e. we take the covariant derivative with respect to the vector field X ).

Here ΔG is change in Gibbs free energy, T is absolute temperature, R is the gas constant and Q is reaction quotient.

Here Q is the molar activation energy, R is the ideal gas constant, T is absolute temperature, and K < sub > 0 </ sub > is a material dependent factor.

Here Schelling and Hamilton argue that Cousin's absolute is a mere relative.

Here | z | is the absolute value or modulus of the complex number z ; θ, the argument of z, is usually taken on the interval 0 ≤ θ < 2π ; and the last equality ( to | z | e < sup > iθ </ sup >) is taken from Euler's formula.

For example, suppose A steals from B, what B had previously bought in good faith from C, which C had earlier stolen from D, which had been an heirloom of D's family for generations, but had originally been stolen centuries earlier ( though this fact is now forgotten by all ) from E. Here A has the possession, B has an apparent right of possession ( as evidenced by the purchase ), D has the absolute right of possession ( being the best claim that can be proven ), and the heirs of E, if they knew it, have the right of property, which they cannot prove.

Here he ruled as an absolute, if erratic, potentate, doling out strips of land to people of his choosing, a group that emphatically did not include Americans, liberalism or anyone insufficiently respectful.

Here is the pressure, is the volume of the vessel containing the particles, is Boltzmann's constant, is the absolute

Here and are the absolute temperature and pressure at the beginning of the process ( here equal to the ambient air temperature and pressure ), and are the absolute temperature and pressure in the vortex core ( which is the end result of the process ), and the constant is about 7 / 5 = 1. 4 for air ( see here ).

Here is the absolute value of the determinant of the metric tensor g < sub > ij </ sub >.

Here, is the absolute value of the determinant of the matrix representation of the metric tensor on the manifold.

Here at last was an adversary armed with sufficient knowledge of the ways of the vampire, to bring about the final and absolute destruction.

Here, note the conjunction after, which indicates the two facts do not happen simultaneously, as they do with the present genitive absolute.