Let t and s ( t > s ) be the sides of the two inscribed squares in a right triangle with hypotenuse c. Then s < sup > 2 </ sup > equals half the harmonic mean of c < sup > 2 </ sup > and t < sup > 2 </ sup >.

: Let ’ s lay off the excessive groaning.

: Let ’ s deal with the common benefits first off,

Let s = x < sub > 1 </ sub > ⊕ ... ⊕ x < sub > n </ sub > and t = y < sub > 1 </ sub > ⊕ ... ⊕ y < sub > n </ sub >.

Proof: Let d be the position of the leftmost ( most significant ) nonzero bit in the binary representation of s, and choose k such that the dth bit of x < sub > k </ sub > is also nonzero.

Let It Be < nowiki >'</ nowiki > s release had attracted attention from the major record labels, and by late 1984 several had expressed interest in signing the Replacements.

* " Identity " / " Let ’ s Submerge " ( July 1978: EMI International, INT 563 )-No.

Let ’ s tell them the truth, that there are no gains without pains, that we are now on the eve of great decisions.

Let ’ s leave it to the gods to set his mind on that.

Traditional Bayram ( Turkey ) | Bayram wishes from the Istanbul Metropolitan Municipality, stating " Let us love, Let us be loved ", in the form of mahya lights stretched across the minaret s of the Sultan Ahmed Mosque ( Istanbul ) | Blue Mosque in Istanbul

It was: Let ’ s try to do something together.

Let c, h, s be the sides of three squares associated with the right

While their next release, " Never to be Forgotten " brought a regional hit, the band ’ s next single, " Let Her Dance " brought the band ’ s first national hit, barely missing the Billboard Hot 100 at 133, though bringing in a Top 40 hit.

Let ’ s first imagine a cube with sides of length 2, and its center positioned at the axis origin.

Given an integer n, choose some integer a < n. Let 2 < sup > s </ sup > d = n − 1 where d is odd.

Many episode titles parodied the titles of Bond films, e. g. “ Live and Let ’ s Dance .”

As well as the songs he would go on to perform on the day, his list included “ All Things Must Pass ” (“ with Leon ”, apparently ) and “ Art of Dying ” − both from All Things Must Pass − and “ Bangla Desh ”’ s B-side, “ Deep Blue ”; Clapton ’ s song “ Let It Rain ” appeared also, implying that the guitarist was expected to have his own solo spot ; while the suggestions for Dylan ’ s set were “ If Not for You ”, “ Watching the River Flow ” ( his recent, Leon Russell-produced single ) and “ Blowin ' in the Wind ”.

Let q be a prime number, s a complex variable, and define a Dirichlet L-function as

While each concert was professionally mastered, the recordings capture everything that happened onstage and for preservation's sake the band chose not to edit anything out, singer / guitarist Guy Picciotto explained to the New York Times "“ We liked this idea of, ‘ Let ’ s just let it be everything ,’ “ Mr. Picciotto said.

Let the function g ( t ) be the altitude of the car at time t, and let the function f ( h ) be the temperature h kilometers above sea level.

Let r ( t ) be a vector that describes the position of a point mass as a function of time.

|" Don ‘ t Let The Music Die "

Let f be the starting peg, t the destination peg and r the remaining third peg.

Let the curve be a unit speed curve and let t = u × T so that T, u, t form an orthonormal basis: the Darboux frame.

Let denote the number of kernels which have popped up to time t. Then this is a continuous time, non-homogenous Markov process.

Let x < sub > t </ sub > be a curve in a Riemannian manifold M. Denote by τ < sub > x < sub > t </ sub ></ sub >: T < sub > x < sub > 0 </ sub ></ sub > M → T < sub > x < sub > t </ sub ></ sub > M the parallel transport map along x < sub > t </ sub >.

Let there be a set of differentiable fields φ defined over all space and time ; for example, the temperature T ( x, t ) would be representative of such a field, being a number defined at every place and time.

We want to find n ′ perpendicular to P. Let t be a vector on the tangent plane and M < sub > l </ sub > be the upper 3x3 matrix ( translation part of transformation does not apply to normal or tangent vectors ).

Let f ( t ) be a function and let be its Fourier transform.

Let t represent time and let f ( t, •) be a function which specifies the dynamics of the system.

Let the price of S be S ( t ) at time t. Now assemble a portfolio by buying a call option C and selling a put option P of the same maturity T and strike K. The payoff for this portfolio is S ( T )-K. Now assemble a second portfolio by buying one share and borrowing K bonds.

In an April 22, 2011 interview with The Delaware County Daily Times, Scott Lucas commented on the release saying, “ It ’ s kinda weird but kinda cool because it doesn ’ t cover our entire career, so I was like, “ Let ’ s call it The Island Years .”

Let t approach infinity, that is, t →∞, in the expression above:

Let X be some set, and 2 < sup > X </ sup > symbolically represent its power set.

Let the event space represent the current state of belief for this process.

Let the variable represent the fraction of binding sites that are occupied on the macromolecule.

Let N represent the common nine-point center and P be an arbitrary point in the plane of the orthocentric system.

Let represent the-th component of a quark field ( loosely called the-th color ).

Let X represent the space of signals that can be transmitted, and Y the space of signals received, during a block of time over the channel.

Let x represent a point in three-dimensional space, and t a point in one-dimensional time.

Let us now represent a vector field in terms of its components relative to the coordinate derivatives.

Let the lengths of the vectors F < sub > 1 </ sub > and F < sub > 2 </ sub > represent the velocities the two forces could produce in the particle by acting for a given time, and let the direction of each represent the direction in which they act.

Let us represent worthily for once the foul brood to which a cruel fate consigned us!

Let represent a pair of stochastic processes that are jointly wide sense stationary.

Let the four-dimensional Cartesian coordinates be denoted ( w, x, y, z ) where ( x, y, z ) represent the Cartesian coordinates of the normal position vector r. The three-dimensional momentum vector p is associated with a four-dimensional vector on a three-dimensional unit sphere

Let symbol A represent the number of soldiers in the Red force at the beginning of the battle.

Let represent the Hamming weight of vector.

Booth's algorithm can be implemented by repeatedly adding ( with ordinary unsigned binary addition ) one of two predetermined values A and S to a product P, then performing a rightward arithmetic shift on P. Let m and r be the multiplicand and multiplier, respectively ; and let x and y represent the number of bits in m and r.

Let each vertex represent an item, and add an edge from A to B if you must have A to obtain B.

Let Y represent output, which equals income, and let K equal the capital stock.

Let us represent the generalized mass action law in the equivalent form: the rate of the elementary process

Let be the set of dotted variables that represent first derivatives during continuous change, and let be the set of primed variables that represent values at the conclusion of discrete change.

Let the circularly polarized light illustrated at the top now represent that light.