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The general form of such an equation is ax 2 + bxy + cy 2. (All coefficients must be whole numbers.) A given quadratic form is said to represent a natural number if substituting specific numbers for the variables gives the number. Gauss and those who followed found that if we change variables in certain ways, the new quadratic form represented ...
Magic, which encompasses the subgenres of close-up magic, parlor magic, and stage magic, among others, is a performing art in which audiences are entertained by tricks, effects, or illusions of seemingly impossible feats, using natural means.
Further pretrain with 500B tokens (6% DeepSeekMath Corpus, 4% AlgebraicStack, 10% arXiv, 20% GitHub code, 10% Common Crawl). This produced Base. Train an instruction-following model by SFT Base with 776K math problems and tool-use-integrated step-by-step solutions. This produced Instruct.
The project began in January 2009 on Timothy Gowers's blog when he posted a problem and asked his readers to post partial ideas and partial progress toward a solution. [1] This experiment resulted in a new answer to a difficult problem, and since then the Polymath Project has grown to describe a particular crowdsourcing process of using an ...
The problem was originally studied by the Chinese mathematician Meigu Guan in 1960, whose Chinese paper was translated into English in 1962. [4] The original name "Chinese postman problem" was coined in his honor; different sources credit the coinage either to Alan J. Goldman or Jack Edmonds , both of whom were at the U.S. National Bureau of ...
CodeProject (formerly Code Project and The Code Project) was a community for computer programmers with articles on different topics and programming languages such as web development, software development, C++, Java, and other topics. [1]
Geek code example, which opens by stating that the user is a Geek of Technical Writing (GTW) who usually wears jeans and a t-shirt (d-@), is of average height and above-average weight (s:+), and is aged between 25 and 29 (a-).
GitHub Copilot is an artificial intelligence model developed by GitHub and OpenAI that is able to autocomplete code in multiple programming languages. [358] Price for individuals: $10/mo or $100/yr, with one free month trial. Tabnine was created by Jacob Jackson and was originally owned by Tabnine company.