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Mean Green Math

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Mean Green Math: Mean Green Math – Explaining the "whys" of mathematics

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Let  be the set of all men, and let  be the statement “ likes to watch the world burn.” Translate the logical statement This matches a line from Alfred Pennyworth in the 2008 film “The Dark Knight.” Context: Part of a discrete mathematics course includes an introduction to predicate and propositional logic for our math majors. As …

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I feel like I’ve done my good deed for the day by uncovering an instance when ChatGPT claimed a “fact” from the secondary mathematics curriculum that is simply incorrect. While using ChatGPT to do some brainstorming on a research project, I received the following response (as part of a bigger response): Sadly, whenever ChatGPT asserts …

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Giants
Source: https://xkcd.com/3055/

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We are finally in position to directly prove the curious integral , where the right-hand side is a special case of the confluent hypergeometric function. Step 1. Our surprising “starting” point is the combinatorical identity , which we proved in the previous post. Step 2. We now begin to manipulate this identity. Replacing with , …

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