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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.
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Here and N
Improv comedy techniques have also been used in television and stand-up comedy, in hit shows such as the recent HBO television show Curb Your Enthusiasm created by Larry David, the UK Channel 4 and ABC television series Whose Line Is It Anyway ( and its spinoffs Drew Carey's Green Screen Show and Drew Carey's Improv-A-Ganza ), Nick Cannon's improv comedy show Wild ' N Out, and Thank God You're Here.
Here, there are four energy levels, energies E < sub > 1 </ sub >, E < sub > 2 </ sub >, E < sub > 3 </ sub >, E < sub > 4 </ sub >, and populations N < sub > 1 </ sub >, N < sub > 2 </ sub >, N < sub > 3 </ sub >, N < sub > 4 </ sub >, respectively.
For example, the notion of gauge invariance forms the basis of the well-known Mattis spin glasses, which are systems with the usual spin degrees of freedom for i = 1 ,..., N, with the special fixed " random " couplings Here the ε < sub > i </ sub > and ε < sub > k </ sub > quantities can independently and " randomly " take the values ± 1, which corresponds to a most-simple gauge transformation This means that thermodynamic expectation values of measurable quantities, e. g. of the energy are invariant.
Simmons joined Kid Rock's 2008 Rock N Roll Revival Tour, performing " It's Like That ", " It's Tricky ", " You Be Illin '", " Run's House ", " Here We Go ", " King of Rock " and " Walk This Way " with Kid Rock.
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 N < sub > x </ sub > is the number of x atoms per volume, λ the electron escape depth, θ the analyzer angle, T the transmission of the analyzer, I ( t ) the electron excitation flux at depth t, dΩ the solid angle, and δt is the thickness of the layer being probed.
which is natural in the variable N. Here the functor Hom ( N, F –) is the composition of the Hom functor Hom ( N, –) with F. This isomorphism is the unique one which respects the limiting cones.
The music then commenced with short sets from bands that were influenced by the music of Queen, including Metallica, Extreme ( playing a Queen medley ), Def Leppard ( who brought Brian May onstage for a faithful version of " Now I'm Here "), and Guns N ' Roses.
Here the user specifies a desired frequency response, a weighting function for errors from this response, and a filter order N. The algorithm then finds the set of N coefficients that minimize the maximum deviation from the ideal.
Here is called a spherical harmonic function of degree ℓ and order m, is an associated Legendre polynomial, N is a normalization constant, and θ and φ represent colatitude and longitude, respectively.
They played an unplugged version of " Here Comes the Rain Again ", " 7 Seconds " with Youssou N ' Dour and " Sweet Dreams ".
He has also released an album with Vado entitled Cam ' ron & The U. N. Presents: " Heat in Here " Vol.
( Here, we have used the fact that N < sub > 1 </ sub >< sup >− 1 </ sup > N < sub > 1 </ sub > is unity when evaluated modulo N < sub > 2 </ sub > in the inner sum's exponent, and vice-versa for the outer sum's exponent.
Here and <
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.
Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).
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 k is first-order rate constant having dimension 1 / time, ( t ) is concentration at a time t and < sub > 0 </ sub > is the initial concentration.
Here I < sub > 2 </ sub > is reduced to I < sup >–</ sup > and S < sub > 2 </ sub > O < sub > 3 </ sub >< sup > 2 –</ sup > ( thiosulfate anion ) is oxidized to S < sub > 4 </ sub > O < sub > 6 </ sub >< sup > 2 –</ sup >.
The simplest, and original, implementation of the protocol uses the multiplicative group of integers modulo p, where p is prime and g is primitive root mod p. Here is an example of the protocol, with non-secret values in < span style =" color: blue "> blue </ span >, and secret values in < span style =" color: red "> boldface red </ span >:
Here is the center of the ellipse, and is the angle between the < math > X </ Math >- axis and the major axis of the ellipse.
Here C < sub > p </ sub > is the heat capacity at constant pressure and α is the coefficient of ( cubic ) thermal expansion
Here ( Z / 2Z ) is the polynomial ring of Z / 2Z and ( Z / 2Z )/( T < sup > 2 </ sup >+ T + 1 ) are the equivalence classes of these polynomials modulo T < sup > 2 </ sup >+ T + 1.
Here the kets and columns are identified with the vectors of V and the bras and rows with the dual vectors or linear functionals of the dual space V < sup >*</ sup >, with conjugacy associated with duality.
# 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 and m
As explained above, Gaussian elimination writes a given m × n matrix A uniquely as a product of an invertible m × m matrix S and a row-echelon matrix T. Here, S is the product of the matrices corresponding to the row operations performed.
Kate Baldwin, Aaron Lazar, Christiane Noll, Paul Betz, Renee Rakelle, Marilyn Maye ( singing " I ’ m Still Here "), and Alexander Gemignani were all on hand to sing songs including " I Remember ", " Another Hundred People ", " Children Will Listen ", and " Getting Married Today ".
Here w ( A | B ) is the " plausibility " of the proposition A given B, and m is some positive number.
The Latin annotation embroidered onto the Tapestry above his image reads: " Hic Odo Eps ( Episcopus ) Baculu ( m ) Tenens Confortat Pueros ", in English " Here Odo the Bishop holding a club strengthens the boys ".
Here G is final average grain size, G < sub > 0 </ sub > is the initial average grain size, t is time, m is a factor between 2 and 4, and K is a factor given by:
Here, is the thickness of the oceanic mantle lithosphere, is the thermal diffusivity ( approximately 10 < sup >− 6 </ sup > m < sup > 2 </ sup >/ s ), and is time.
0.295 seconds.