M Dash Foundation: C Cube Learning

Mindblown: a blog about philosophy.

  • Learning Stoke’s Theorem by example !

    Calculate CurlF and then use Stokes’ theorem to compute the flux of CurlF through the given surface as a line integral. F  =  y,  x,  x2 + y2    , the upper hemisphere; x2 + y2 + z2 = 1,  z ≥ 0.

  • The method of Lagrange Multiplier ! Optimize multivariate functions.

    Yesterday I learned the beautiful method of Lagrange Multiplier, to find the minima or maxima of multivariate functions. eg If I ask you what’s the minimum value of a function, f(x,y) = xy, subject to the constraint 5x-y = 4, the answer would be -4/5. The method is this. Ensure that first-partials of function f(x,y)…

  • Insight on killing self !

    Consonant; what you say. Vowel; how you say that. eg K is consonant, in ki, ke, ka, ko, ku K is whats fixed, because that’s “what” we say. But “how” we say it varies; u or a? Now why this flashed? I was checking a Japanese word: “jigai” (自害) which means suicide. This word comes…

  • How equal is a conserved quantity as-before-as-now.

    When we say something is conserved (in Physics) we mean to say they are EQUAL as-before-as-now. Just how equal? Classically we would claim exactly. But classical mechanics is a dogma held for too long. We know now its quantum mechanics that rules the roost (and eats it too, and claims its tasty even if cooked…

  • The Singapore maths puzzle.

    Now that I could lean back I guessed the answer for this puzzle after reading it a couple times mindfully. I think the answer is August 17. WHY? I will explain in detail. But first of all the answer I came across here (in NY Times) is obviously misleading and incorrect. They give July 16…

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