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Page "J (programming language)" ¶ 21
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Here and denote
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 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 the vertical bars denote the absolute value.
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 and verbs
( Here, eil and fhaca are dependent forms of the irregular verbs tha and chunnaic.

Here and denotes
Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.
Here the term yoga denotes a kind of " meta-theory " that can be used heuristically ; Michel Raynaud writes the other terms " Ariadne's thread " and " philosophy " as effective equivalents.
Here K denotes the field of real numbers or complex numbers, I is a closed and bounded interval b and p, q are real numbers with 1 < p, q < ∞ so that
Here highbit ( S ) denotes the most significant bit of S ; the '< tt >*</ tt >' operator denotes unsigned integer multiplication with lost overflow ; '< tt >^</ tt >' is the bitwise exclusive or operation applied to words ; and P is a suitable fixed word.
# If A is a cartesian product of intervals I < sub > 1 </ sub > × I < sub > 2 </ sub > × ... × I < sub > n </ sub >, then A is Lebesgue measurable and Here, | I | denotes the length of the interval I.
Here is the particle's velocity and × denotes the cross product.
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 the maximum-likelihood estimate, and is the sample mean of the observations.
Here, denotes the natural logarithm.
Here C < sub > b </ sub >( X ) denotes the C *- algebra of all continuous bounded functions on X with sup-norm.
Here denotes vertical composition of natural transformations, and denotes horizontal composition.
Here the t denotes the matrix transpose.
Here y *( w ) denotes the value of the linear functional y * ( which is an element of the dual space of W ) when evaluated at the element w ∈ W. This scalar in turn is multiplied by x to give as the final result an element of the space V.
Here, || ||< sub > 2 </ sup > is the matrix 2-norm, c < sub > n </ sub > is a small constant depending on n, and ε denotes the unit round-off.
Here 0 denotes the trivial abelian group with a single element, the map from Z to Z is multiplication by 2, and the map from Z to the factor group Z / 2Z is given by reducing integers modulo 2.
Here, denotes the radical of J and I ( U ) is the ideal of all polynomials which vanish on the set U.
Here, " prequel " denotes status as a " franchise-renewing original " that depicts events earlier in the ( internally inconsistent ) narrative cycle than those of a previous installment.
Here N < sub > m </ sub > denotes the number of turns in loop m, Φ < sub > m </ sub > the magnetic flux through this loop, and L < sub > m, n </ sub > are some constants.
( Here K ( a ) denotes the smallest subfield of L containing K and a )
Here denotes the standard complex inner product on and.
Here it also denotes a hand gesture, now linked to three other hand mudrās — the action ( karma ), pledge ( samaya ), and dharma mudrās — but also involves " mantra recitations and visualizations that symbolize and help to effect one ’ s complete identification with a deity ’ s divine form or awakening mind ( bodhicitta ).
Here, denotes the resolution limit in arcseconds and is in millimeters.

0.731 seconds.