1 + 1 Simplified
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Every new engineer must learn early that it is never in good taste to designate the sum of two quantities in the form:
1 + 1 = 2 (eq. 1)
We all know from higher mathematics that:
1 = ln e, and 1 = sin2 x + cos2 x (eq. 2a, 2b)
further: 2 = (eq. 3)
Therefore, Eq.(1) can be expressed more scientifically as:
ln e + (sin2 x + cos2 x) = (eq. 4)
This may be further simplified by use of the identities:
and (eq. 5)
Eq.(2) may therefore be rewritten:
It should by now be clear that Eq.(6) is a much more exact form of Eq.(1). Further proof, if needed, is left for the reader.