In mathematics, the truncated power function with exponent n {\displaystyle n} is defined as x + n = { x n :   x > 0 0 :   x ≤ 0. {\displaystyle...

cannot be a probability distribution, but a distribution that is a truncated power function is possible: p ( x ) = C x − α {\displaystyle p(x)=Cx^{-\alpha...

{\displaystyle x,y\geq 1} , the beta function may be written in terms of a convolution involving the truncated power function t ↦ t + x {\displaystyle t\mapsto...

then the truncated, floored, and Euclidean definitions agree. If the dividend is positive and the divisor is negative, then the truncated and Euclidean...

rational approximations of power series. The Padé approximant often gives better approximation of the function than truncating its Taylor series, and it...

B-spline Box spline — multivariate generalization of B-splines Truncated power function De Boor's algorithm — generalizes De Casteljau's algorithm Non-uniform...

processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside...

is a special function on the complex plane. It is defined as one particular definite integral of the ratio between an exponential function and its argument...

expanded function. Typically, the best approximation is given when the series is truncated at the smallest term. This way of optimally truncating an asymptotic...

A cryptographic hash function (CHF) is a hash algorithm (a map of an arbitrary binary string to a binary string with a fixed size of n {\displaystyle n}...

function is named after the Austrian meteorologist Julius von Hann. It is a window function used to perform Hann smoothing or hanning. The function,...

series are built from Bessel functions depending on the eccentricity e. Note that while these series can be presented in truncated form, they represent a sum...

passwords longer than 255 bytes, instead of being truncated at 72 bytes the password would be truncated at the lesser of 72 or the length modulo 256. For...

the machinery of complex analysis available. The (truncated) series can be used to compute function values numerically, (often by recasting the polynomial...

follows a truncated normal distribution, then Y is said to follow a Box–Cox distribution. Bickel and Doksum eliminated the need to use a truncated distribution...

minor consisting of the truncated first 2 m + 1 {\displaystyle 2m+1} rows and columns, the next consisting of the truncated first 2 m + 2 {\displaystyle...

in the OEIS. The values presented here are truncated rather than rounded.) The complex-valued gamma function is undefined for non-positive integers, but...

polynomial. For a smooth function, the Taylor polynomial is the truncation at the order k {\textstyle k} of the Taylor series of the function. The first-order...

known as the power-normal distribution) is the distribution of a random variable X for which the Box–Cox transformation on X follows a truncated normal distribution...

are truncated versions of SHA-256 and SHA-512 respectively, computed with different initial values. SHA-512/224 and SHA-512/256 are also truncated versions...

n=N} data samples before applying the truncated symmetric window. That is not a common practice, even though truncated windows are very popular. The appeal...

windowing function. Design and choice of real filters involves understanding and minimizing these artifacts. For example, simple truncation of the sinc...

Consider the truncated distribution defined by restricting the standard Cauchy distribution to the interval [−10100, 10100]. Such a truncated distribution...

remembered'), usually truncated as memo in American English, and thus carries the meaning of 'turning [the results of] a function into something to be...

} in which a prime power pn counts as 1⁄n of a prime. The normalized prime-counting function can be recovered from this function by π 0 ( x ) = ∑ n 1...

digits. In contrast, truncation does not suffer from this problem; for example, a simple string search for "3.1415", which is π truncated to four digits, will...

the same term, integer part, is also used for truncation towards zero, which differs from the floor function for negative numbers. For an integer n, ⌊n⌋...

SAFER K-64. CRYPTO 1995: 274-286. Lars R. Knudsen, Thomas A. Berson, "Truncated Differentials of SAFER". Fast Software Encryption 1996: 15-26 Nomination...

certain time. The survival function is also known as the survivor function or reliability function. The term reliability function is common in engineering...

1}} and the series is truncated to 8 terms. Figure 2 shows the graph of an approximation to the antiderivative G(x), also truncated to 8 terms. On the other...