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micromath.wordpress.com | ||
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0fps.net
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| | | | | Conway's Game of Life is one of the most popular and iconic cellular automata. It is so famous that googling itloads up a working simulation right in your browser! The rules for the Game of Life (GoL) can be stated in a few lines: The world is an infinite rectangular array of cells, each of... | |
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www.jeremykun.com
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| | | | | For those who aren't regular readers: as a followup to this post, there are four posts detailing the basic four methods of proof, with intentions to detail some more advanced proof techniques in the future. You can find them on this blog's primers page. Do you really want to get better at mathematics? Remember when you first learned how to program? I do. I spent two years experimenting with Java programs on my own in high school. | |
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mathscholar.org
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| | | | | [AI summary] The text presents a detailed, self-contained proof of the Fundamental Theorem of Calculus (FTC) using basic principles of calculus and real analysis. It breaks the proof into two parts: Part 1 establishes that the integral of a continuous function defines a differentiable function whose derivative is the original function, and Part 2 shows that the definite integral of a continuous function can be computed as the difference of an antiderivative evaluated at the endpoints. The proof relies on lemmas about continuity, differentiability, and the properties of integrals, avoiding advanced techniques. The text is structured to provide a clear, step-by-step derivation of the FTC for readers familiar with calculus fundamentals. | |
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www.livescience.com
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| | | Scientists have built a 98-qubit machine that they say performs better than any other quantum computer in the world. They've used it to gain new insights into superconducting physics. | ||
