Magnificent clouds
the connection of combinatorics and calculus in my mind #
Today I was happy to find that my manipulating the arrangement of algebraic equations we can find meaning. I am now looking for a meaning of 2C1 when 2C1 = (dy/dx)/x. The aha! moment occured when I wrote n!/k!(n-k)! for 2C1, and realised that we can arrange the equation so that n! will equal something. What is interesting is that this n! = something is the meaning of n! in terms of the relationships of dy, dx, x, k, and their tangible meanings.
This tune and radio goes with mathematics:
Yesterday I found that the computer agent can write excellent blues verses, and that I can create simple form blues songs on the guitar. Constructing songs by varying simple patterns is fun and seems like a meaningful endeavor.
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