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www.jeremykun.com | ||
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0fps.net
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| | | | | In this post, I am going to go into a bit of a mathematical digression about the fundamentals of solid modeling. In a nutshell, solid modeling is the study of digital representations of physical shapes. This was a hot topic in the early days of computing and computer aided design, and led to some pretty... | |
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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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jeremykun.wordpress.com
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| | | | | Last time we investigated the (very unintuitive) concept of a topological space as a set of "points" endowed with a description of which subsets are open. Now in order to actually arrive at a discussion of interesting and useful topological spaces, we need to be able to take simple topological spaces and build them up... | |
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gilkalai.wordpress.com
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| | | In this post I give a brief assessment of progress in the past decade, triggered by a recent article in Forbes Magazine that mentions my view on the matter. Waging War On Quantum - A Forbes Article by Arthur Herman Arthur Herman is a popular Historian and a senior fellow at the Hudson Institute. On... | ||
