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Project Naptha is a browser extension software for Google Chrome that allows users to highlight, copy, edit and translate text from within images. [1] It was created by developer Kevin Kwok, [2] and released in April 2014 as a Chrome add-on. This software was first made available only on Google Chrome, downloadable from the Chrome Web Store.
A code is defined to be equidistant if and only if there exists some constant d such that the distance between any two of the code's distinct codewords is equal to d. [4] In 1984 Arrigo Bonisoli determined the structure of linear one-weight codes over finite fields and proved that every equidistant linear code is a sequence of dual Hamming ...
Although is not a visual editor, it offers the possibility to test offline most of your code in your default web browser. This tests simulate the behavior that would show the wiki code in a Wikipedia page. The installer may be downloaded free from the Offline MediaWiki Code Editor site.
A field extension L/K is called a simple extension if there exists an element θ in L with L = K ( θ ) . {\displaystyle L=K(\theta ).} This means that every element of L can be expressed as a rational fraction in θ , with coefficients in K ; that is, it is produced from θ and elements of K by the field operations +, −, •, / .
The free group F S with free generating set S can be constructed as follows. S is a set of symbols, and we suppose for every s in S there is a corresponding "inverse" symbol, s −1, in a set S −1. Let T = S ∪ S −1, and define a word in S to be any written product of elements of T. That is, a word in S is an element of the monoid ...
Type II codes are binary self-dual codes which are doubly even. Type III codes are ternary self-dual codes. Every codeword in a Type III code has Hamming weight divisible by 3. Type IV codes are self-dual codes over F 4. These are again even. Codes of types I, II, III, or IV exist only if the length n is a multiple of 2, 8, 4, or 2 respectively.
To find f(n), first add 5 to n, then multiply by 2. To find g(n), first multiply n by 2, then add 10. These functions are extensionally equal; given the same input, both functions always produce the same value. But the definitions of the functions are not equal, and in that intensional sense the functions are not the same.
If F/K is regular then so is E/K for any E between F and K. [3] The extension L/k is regular if and only if every subfield of L finitely generated over k is regular over k. [2] Any extension of an algebraically closed field is regular. [3] [4] An extension is regular if and only if it is separable and primary. [5]
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