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E = MC˛ In special relativity of general physics (not directly observing quantam mechanics), Energy = Mass × Speed of Light Squared.

Einstein wasn’t a great math student—he was patent clerk with a great immagination that, with close observation, discovered the nature and limitations of the photon.  Everything we see is photonic; at the lowest level, we’re electromagnetic beings.

Compute Anything on Paper or Basic Calculator

I’m almost a walking calculator, given the abiltiy to compute square roots in my head, personally discovering basic trigonometric use (sine and cosine for a virtual analog clock) and methods for logarithms before taking Algebra II.  Of course, I’m not nearly as fast as an actual calculator.

Fast square root, using Newton’s method:
  1. Find an estimate.  The fastest way is to use a table, but you could just take the integral root, plus a fraction, interpolating the closest squares.  Example: the closest squares for √80 are 64 (8˛) and 81; 8 + (80-64)/(81-64) = 8 16⁄17, or ≈ 8.9412.
  2. For each new estimate: average the current with itself divided into the base.  For the √80 example, (80/8.9412+8.9412)/2 ≈ 8.944272 — seven digits exact.
Here’s a self-discovered, relatively easy method for logarithm.  Use a basic calculator:
  1. If it’s already under 1.0, the result is a negative: remember the sign, and perform the recipricol (divide the number into 1).
  2. For each digit of the result, you count how many times you can divide the number by the log base until it’s less than the base, and raise the quotient to your written base number (the numbers presented here are in decimal).
Common log example: log 1211.  1,211 divides by 10 three times to 1.211; current result: ‘3.’  (And here’s why you’d use a basic calculator...)  Raise it to the written base, 10: 1.211**10 ≈6.783306353; divides by 10 zero times; current result: ‘3.0’.  Raised, ≈206259668; divides eight times; ‘3.08’.  Raised, ≈1393.48553; ‘3.083’... This method requires more precision each step, so use of the standard log2 function would be more accurate, if not faster.
A little Algebra goes a long way. Squaring shortcut: Since (a+b)˛ is (a+b)(a+b), or a˛+b˛+2ab, you can break up a number’s digits to calculate its square.  Take 1211˛, for example.  You could break that up into (1200+11)˛ = 1200˛+11˛+2(1200)(11) = 1440000+121+2400(11) = 1440121+26400 = 1466521.