Unified Sumant Approximation Theorem

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Essentially, the Unified Sumant Approximation Theorem mathematically boils down to this:

Therefore, for sufficiently accurate approximation, a sufficiently accurate picture, with sufficiently accurate distances, you can sufficienly well guess the answer.

To find evenivity of an answer:

If the

then the answer is even

Else

the answer is odd

If the answer is even, then there is a very good chance that it is not the correct answer.

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for discussion:

The area bound by the curves y = 0, x = 1 and y = x²

a) (Note that one should never pick a tricky answer, they are always wrong)

b) .5

c) .242 (Too even)

d) .333

e) .3434 (Too many digits, thus incorrect)

Left with the possible answers, 0.5 and .333, consider the graph of the function y = x², from , as well as the known area of the triangle with verticies (0,0);(0,1);(1,1)

The area is a known or .5. Our graph is below the hypotenuse of this triangle.

Thus the answer is d) .333

Q.E.D.

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Sumant's Other Theorems : Sumant's Theorem of Economics