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PDF.js is a JavaScript library that renders Portable Document Format (PDF) files using the web standards-compliant HTML5 Canvas. The project is led by the Mozilla Corporation after Andreas Gal launched it (initially as an experiment) in 2011.
There is a canonical duality pairing between a distribution on and a test function (), which is denoted using angle brackets by {′ () (,) , := () One interprets this notation as the distribution T {\displaystyle T} acting on the test function f {\displaystyle f} to give a scalar, or symmetrically as the test function f {\displaystyle f ...
The Bates distribution is the distribution of the mean of n independent random variables, each of which having the uniform distribution on [0,1]. The logit-normal distribution on (0,1). The Dirac delta function , although not strictly a probability distribution, is a limiting form of many continuous probability functions.
This work is free software; you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation; either version 3 of the License, or any later version. This work is distributed in the hope that it will be useful, but without any warranty; without even the implied ...
The form is pulled back to the submanifold, where the integral is defined using charts as before. For example, given a path γ(t) : [0, 1] → R 2, integrating a 1-form on the path is simply pulling back the form to a form f(t) dt on [0, 1], and this integral is the integral of the function f(t) on the interval.
In many texts in human languages, word frequencies approximately follow a Zipf distribution with exponent s close to 1; that is, the most common word occurs about n times the n-th most common one. The actual rank-frequency plot of a natural language text deviates in some extent from the ideal Zipf distribution, especially at the two ends of the ...
MathML in HTML5 allows most inline HTML markup in mtext, and <mtext><b> non </b> zero </mtext> is conforming, with the HTML markup being used within the MathML to mark up the embedded text (making the first word bold in this example). These are combined using layout elements, that generally contain only elements. They include:
The words 1, r, r 2, ..., r n-1, s, sr, ..., sr n-1 are a normal form for the dihedral group Dih n with S = {s, r} and 1 as above. The set of words of the form x m y n for m,n ∈ Z are a normal form for the direct product of the cyclic groups x and y with S = {x, y}. The set of reduced words in S are the unique normal form for the free group ...