M Dash Foundation: C Cube Learning

Category: Mathematics

  • 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)…

  • 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…

  • Something interesting here?

    Quora has this; \sqrt 2 + \sqrt 3 ~= \pi. I see some good use. \sqrt D + \sqrt D+r ~= A [D; diameter, r; radius, A; area] Is this a new relation? and this another; 2\sqrt (D.r) + D \sqrt 3 = C OR even; D (\sqrt 2 + \sqrt 3) = C. well…

  • A new optimization parameter in a statistical sample !

    It reflects the quality scope of the citations. Its the total percentage of a citation that goes into defining a particular citation index. Let me call it q-index therefore (q for quality) See this example. My h-ind is 60. So total (minimum) citation it accounts for is 60*60 = 3600. My total citation is 12215.…

  • Whats the population; if male and female literacy is given as percentage.

    May I add one more small note, see how easy it becomes to understand an “order of estimate”; A good student, that is one with a good maths background, should immediately pick up, population ~ 1.19 million. 61.26 % male. 58.04 % female. (Not only literate but total male and female). Then even, one question…