Recent content by Best Pokemon

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    B What is the building block of maths?

    I think you mean "unprovable tautologies" and not "unprovable theorems".
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    B Geometric meaning of signs in multiplications

    This might help: https://www.mathsisfun.com/multiplying-negatives.html
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    Prove that if a² + ab + b² = 0 then a = 0 and b = 0

    You can use a proof by contrapositive. Your statement is of the form if ##P## then ##Q##. This is a conditional statement. The contrapositive is: if ## not~ Q## then ##not~ P##. Conditional statements are equivalent to their contrapositives. ##Q## is of the form (##A## and ##B##) where ##A##...
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    Today I Learned

    Warm weather makes it harder to think: https://www.scientificamerican.com/article/warm-weather-makes-it-hard-think-straight/
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    Today I Learned

    The probability of a U.S. nickel landing on its edge is roughly 1 in 6000 tosses. http://www.espnfc.com/blog/the-toe-poke/65/post/2888487/colombia-vs-paraguay-coin-toss-defies-odds-stuns-players-and-officials http://journals.aps.org/pre/abstract/10.1103/PhysRevE.48.2547
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    Job Skills Breaking Barriers: Understanding Male Perceptions of Women in STEM Careers

    In mathematical subjects (math, stats, actuarial, operations research, appl. math) women make up are around 45% as a percentage of majors/professionals.
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    Gaussian elimination: Proof of correctness

    There is a book called A First Course in Abstract Algebra by Joseph J. Rotman. In the third edition of the book, on pages 350 and 351 there is a proof of correctness of the Gaussian elimination algorithm. You can try to seek a copy from your local library or from another source.
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    Engineering Engineering Graduates *not* Going into Engineering

    Well, if you at one of the UK accounting qualifications (ACCA) the only prerequisite is some A-level subjects or equivalent (AP and IB Higher Level etc.) It is divided into three levels and has a total of 14 exams. The last level (Professional level) requires 5 exams. The CPA is said to be...
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    Schools Elite Universities (Stanford, MIT, Harvard, etc.) downloads?

    MIT has some textbooks available online. http://ocw.mit.edu/courses/online-textbooks/ Here are a few: There is also How to Design Programs (HTDP) available here: http://htdp.org/ You can try Structure and Interpretation of Computer Programs (SICP)...
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    Is it a myth that "Americans are too lazy to pursue STEM careers"?

    http://spectrum.ieee.org/at-work/education/the-stem-crisis-is-a-myth Some people say the STEM crisis is a myth.
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    Mathematical Applications in Retail Operations

    You can use an area of mathematics called operations research. Here is a definition from Informs: "Operations Research (O.R.), or operational research in the U.K, is a discipline that deals with the application of advanced analytical methods to help make better decisions. The terms management...
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    Engineering What I thought engineering is like and what it actually is like.

    Why not just study mathematics if you love mathematics?
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    Can You Truly Multitask?

    On an episode of the "Numbers Game" on NatGeo, the host (who is a data scientist) said that studies show that multitasking isn't productive. They also demonstrated it by having two guys doing a woodwork project and send out a lot of important texts/emails. One guy multitasked and the other...
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    Why fewer women in the realm of science and engineering?

    Women are normally well over 40% of math majors. In this study they are 43%: http://www.ams.org/profession/data/cbms-survey/full-report.pdf There was an MAA study that showed over 40% (probably over 43%) as well. They changed the link to so I can't find it at the moment. This article...
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