Here P represents the value of the stream in state P and Q the cost of operating the stage with conditions Q.

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.

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 is how you reach net profit on a P & L ( Profit & Loss ) account:

* Note: Here P ( s ) is any polynomial in s.

Here is the general form, with the true premise P:

( Here primitive is used in the sense that the highest common factor of the set of coefficients of P is 1 ; this is weaker than requiring the coefficients to be pairwise relatively prime.

* Hett, Benjamin C. " Goak Here: A. J. P.

Here P is the loop invariant.

Here, P ( x ) is a ( possibly zero ) polynomial, and the A < sub > ir </ sub >, B < sub > ir </ sub >, and C < sub > ir </ sub > are real constants.

* 1994: We're Rooted Here and They Can't Pull Us Up: Essays in African Canadian Women's History ( with Peggy Bristow, Linda Carty, Afua P. Cooper, Sylvia Hamilton, and Adrienne Shadd ).

( P + dP * Q / dQ ) can also be written as P ( 1 + dPQ / dQP ). Here, ( dP / dQ ) ( Q / P ) is 1 / E < sub > P </ sub >, where E < sub > P </ sub > is price elasticity of demand.

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.

Given a homogeneous prime ideal P of, let X be a subset of P < sup > n </ sup >( k ) consisting of all roots of polynomials in P .< ref > The definition makes sense since if and only if for any nonzero λ in k .</ ref > Here we show X admits a structure of variety by showing locally it is an affine variety.

Here, S ( P, Ei ) represents the similarity between the prototype and the ith exemplar, k is the subscript for the dimensions ( k

Here one can prove directly that P ( X ) is irreducible, and not separable.

* Conformal connections: Here G = SO ( p + 1, q + 1 ), and P is the stabilizer of a null ray in R < sup > n + 2 </ sup >.

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

Here Q – the size of message block to be inserted ; N – the size ( in bits ) of one sample of the message file ( see figure The Fourth Protection Level Scheme ).

Here orthogonality is important not only for reducing A < sup > T </ sup > A = ( R < sup > T </ sup > Q < sup > T </ sup >) QR to R < sup > T </ sup > R, but also for allowing solution without magnifying numerical problems.

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 Q < sub > Y | X </ sub >( y | x ), sometimes called a test channel, is the conditional probability density function ( PDF ) of the communication channel output ( compressed signal ) Y for a given input ( original signal ) X, and I < sub > Q </ sub >( Y ; X ) is the mutual information between Y and X defined as

* Q Here Comes the Sun ( CD, 2005 )

Here the rank of Q < sub > i </ sub > should be interpreted as meaning the rank of the matrix B < sup >( i )</ sup >, with elements B < sub > j, k </ sub >< sup >( i )</ sup >, in the representation of Q < sub > i </ sub > as a quadratic form:

Here, is a vector in, the tangent space to the manifold Q at point q.

Here P serves as a price index, and Q serves as a quantity index of real value.

Here rational means that it is a purely transcendental extension of Q, generated by an algebraically independent set.

They played hundreds of dates, opened for acts as diverse as Graham Parker, Cheap Trick, Gang of Four and Morphine, and released three more records on Q ,: 1997's full-length No One Here Gets In For Free -- Rare and Unreleased 1989-1997 ; the 1998 hit single " Favorite ," produced by Denneen ; and 1999's full-length Silver Gorilla, also with Denneen, which amassed critical raves across the country, from Raygun to Entertainment Weekly.

and Duck Dodgers in the 24½th Century for Jones and Person to Bunny ( the final time Arthur Q. Bryan voiced Elmer Fudd ) and Here Today, Gone Tamale ( the only Speedy Gonzales cartoon he ever wrote ) for Freleng.

Here ‘ A ’ can be any letter of the Latin alphabet except I, O, Q, U and is treated as a base-22 digit ; ‘ 9 ’ can be any decimal digit.

Here, ζ ( s ) is the usual Riemann zeta function and L ( s, E ) is called the L-function of E / Q, which takes the form

Here at the new River Cottage H. Q., the team would film the 2006 series The River Cottage Treatment where Hugh would attempt to convert junk food lovers ' eating habits.

Q gave You Were Here 3 of 5 stars and called it " Lounge jazz, drum loops and lead guitar chops support a vocalist whose lyrical panache ... marks her out from the crowd.

Here is a game Reinfeld won against Marshall in New York City in 1941: 1. d4 d5 2. c4 c6 3. Nf3 Nf6 4. cxd5 cxd5 5. Nc3 Nc6 6. Bf4 e6 7. e3 Bd6 8. Bxd6 Qxd6 9. Bd3 0-0 10. 0-0 e5 11. Nb5 Qe7 12. dxe5 Nxe5 13. Be2 Nxf3 + 14. Bxf3 Be6 15. Qe2 Rfc8 16. Rfd1 Rc5 17. Rd4 Rac8 18. Nc3 Rc4 19. Rad1 Rxd4 20. Rxd4 h6 21. h3 Rc5 22. Qd3 Qc7 23. g4 g5 24. Kg2 Qe5 25. b4 Rc4 26. Nxd5 Bxd5 27. Rxd5 Rc3 28. Rxe5 Rxd3 29. Ra5 b6 30. Rxa7 Nd7 31. Ra6 Kg7 32. Bc6 Ne5 33. Rxb6 Rd2 34. a4 Nc4 35. Rb7 Nxe3 + 36. Kf3 Nd1 37. Rd7 Rxf2 + 38. Kg3 Rf1 39. a5 Nc3 40. a6 Ne2 + 41. Kg2 Ra1 42. a7 Nf4 + 43. Kf3 Ra3 + 44. Ke4 Nxh3 45. a8 = Q Nf2 + 46. Kf5 1 – 0

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

# 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.

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

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.