Simplifying Math

Consider the equation, 1 + 1 = 2. (equation 1)
To make this more understandable, we use
ln(e)=1,
sin²x + cos²x = 1, and
_¥
S 1/2ⁿ = 2. Our equation then becomes
^n=o

ln(e) + sin²x + cos²x = S 1/2ⁿ . (equation 2)

This can be further clarified by using
¥
S (1/n!) = e.
^n=o

Thus, with both sums from zero to ¥ ,
ln(S 1/n!) + sin²x + cos²x = S 1/2ⁿ . (equation 3)

Obviously, equation 3 is more elegant than equation 1, and it
is therefore the equation of choice when the need for it arises.

Exercise: Write a computer program to find out how many terms
are needed in the above summations to achieve a precision of 0.001%.

Experiment: See if ln(S 1/n!) cup of sugar dissolved in sin²x+cos²x cup
of water = S 1/2ⁿ cups of solution.

Simplifying Righting

Wit Bill’s Bloat-ware spell chucker aye can rite reel good. Eye
no its write if it past. (This stuff past.)

This dun fur righting what the calculator dun four math.

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