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The few systems that calculate the majority function on an even number of inputs are often biased towards "0" – they produce "0" when exactly half the inputs are 0 – for example, a 4-input majority gate has a 0 output only when two or more 0's appear at its inputs. [1] In a few systems, the tie can be broken randomly. [2]
The Boyer–Moore majority vote algorithm is an algorithm for finding the majority of a sequence of elements using linear time and a constant number of words of memory. It is named after Robert S. Boyer and J Strother Moore , who published it in 1981, [ 1 ] and is a prototypical example of a streaming algorithm .
The 3-input majority gate output is 1 if two or more of the inputs of the majority gate are 1; output is 0 if two or more of the majority gate's inputs are 0. Thus, the majority gate is the carry output of a full adder, i.e., the majority gate is a voting machine. [7] The 3-input majority gate can be represented by the following boolean ...
The first function for which superpolynomial circuit lower bounds were shown was the parity function, which computes the sum of its input bits modulo 2. The fact that parity is not contained in AC 0 was first established independently by Ajtai in 1983 [ 3 ] [ 4 ] and by Furst, Saxe and Sipser in 1984. [ 5 ]
In a binary alphabet made of ,, if a (,) repetition code is used, then each input bit is mapped to the code word as a string of -replicated input bits. Generally n = 2 t + 1 {\displaystyle n=2t+1} , an odd number.
The input is the same as for other ranked voting systems: each voter must furnish an ordered preference list on candidates where ties are allowed (a strict weak order). This can be done by providing each voter with a list of candidates on which to write a "1" against the most preferred candidate, a "2" against the second preference, and so forth.
JavaScript reference – describes the language in detail. From the Mozilla Developer Network. JavaScript WikiBook – community-written introductory-level book on JavaScript, from Wikibooks; jQuery Fundamentals – overview of the jQuery JavaScript library, which teaches the beginner to use it to program basic tasks
A JavaScript library is a library of pre-written JavaScript code that allows for easier development of JavaScript-based applications, [1] especially for AJAX and other web-centric technologies. [2] They can be included in a website by embedding it directly in the HTML via a script tag.