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

s ⊕ ( x < sub > 1 </ sub > ⊕ y < sub > 1 </ sub >) ⊕ ... ⊕ ( x < sub > n </ sub > ⊕ y < sub > n </ sub >)

s ⊕ x < sub > k </ sub > ⊕ y < sub > k </ sub >

s ⊕ x < sub > k </ sub >, we claim that y < sub > k </ sub > < x < sub > k </ sub >: all bits to the left of d are the same in x < sub > k </ sub > and y < sub > k </ sub >, bit d decreases from 1 to 0 ( decreasing the value by 2 < sup > d </ sup >), and any change in the remaining bits will amount to at most 2 < sup > d </ sup >− 1.

s ⊕ x < sub > k </ sub > ⊕ ( s ⊕ x < sub > k </ sub >)

TDEA < sub > k </ sub >( s ⊕ t ), where ⊕ denotes bitwise exclusive or.

** Updates the seed s = TDEA < sub > k </ sub >( x ⊕ t )

In German, words starting with sch-( constituting the German phoneme ) would be intercalated between words with initial sca-and sci-( all incidentally loanwords ) instead of this graphic cluster appearing after the letter s, as though it were a single letter — a lexicographical policy which would be de rigueur in a dictionary of Albanian, i. e. dh -, ë -, gj -, ll -, rr -, th -, xh-and zh-( all representing phonemes and considered separate single letters ) would follow the letters d, e, g, l, n, r, t, x and z respectively.

Just a case or two, just one case more – the Prima Donna ’ s farewell performance won ’ t be in it with yours, Poirot.

In Ireland, Shane Butler said that AA “ looks like it couldn ’ t survive as there ’ s no leadership or top-level telling local cumanns what to do, but it has worked and proved itself extremely robust .” Butler attributed this to " AA ’ s ' inverted pyramid ' style of governance has helped it to avoid many of the pitfalls that political and religious institutions have encountered since it was established here in 1946.

) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is

: q-r-s ; t-u-v, ( pause between s and t )

According to Capp ’ s longtime friend Milton Caniff, Capp was “ charming ” when he chose to be, but he added, “ He could be very difficult if he didn ’ t like you .” Frank Frazetta described Capp as " exasperating, infuriating, domineering, obnoxious, loud, lots of fun, acidic and lovable.

He doesn ’ t care — he ’ s more interested in hanging out with the old guy and the kid .” Building on this, a Comics Alliance opinion piece titled The Gayness of Batman discussed the question of homosexual readings of the character, citing his relationship with the flamboyant Joker as " a monstrous distortion of the conflict between the closet and the scene.

For given nonzero integers a and b there is a nonzero integer of minimal absolute value among all those of the form ax + by with x and y integers ; one can assume d > 0 by changing the signs of both s and t if necessary.

However he has expressed hope for its resurrection, saying " It ’ s only going to be dead if it doesn ’ t talk about the messages of life as much as the messages of death and non-movement ", citing artists such as NYOil, M. I. A.

At each position s, unit vector u < sub > n </ sub > points along the outward normal to the curve and unit vector u < sub > t </ sub > is tangential to the path.

as can be verified by taking the dot product with the unit vectors u < sub > t </ sub >( s ) and u < sub > n </ sub >( s ).

where v ( t ) is the speed and t is time, and s ( t

Romanian also writes a comma below the letters s () and t () to represent the sounds and, respectively.

Also these are distinct letters, placed in the alphabet between s and t.

Director / actor John Cassavetes contemplating Capra ’ s contribution to the art of film quipped: “ Maybe there really wasn ’ t an America, it was only Frank Capra .” Capra ’ s films were his love letters to an idealized America — a cinematic landscape of his own invention.

At lower left is a discrete-time Fourier transform | DTFT, the result of sampling s ( t ).

When the domain of the input function is time ( t ), and the domain of the output function is ordinary frequency, the transform of function s ( t ) at frequency ƒ is given by the complex number:

Then s ( t ) can be represented as a recombination of complex exponentials of all possible frequencies:

The Fourier transform of a periodic function, s < sub > P </ sub >( t ), with period P, becomes a Dirac comb function, modulated by a sequence of complex coefficients:

Otherwise, any move in heap k will produce t = x < sub > k </ sub > ⊕ y < sub > k </ sub > from (*).