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How is a scale different from a scale factor?
A scale is the ratio of the contracted or dilated form with respect to the original form (the ratio of the sizes before and after the scaling operation). The scale factor is the magnitude of the scaling contraction or dilation (the shrinking or expanding) used in the scaling operation.
What does by 'optimal means' mean?
'optimal' means: best possible compromise solution to a problem, when there are several competing considerations, not all of which can be simulataneously maximized.
What does it mean for an operation to be commutative?
It means that "a operation b" is the same as "b operation a". For example, in standard addition, 1 + 2 is the same as 2 + 1.
What does the phrase 'off the scale' mean?
Means either too much or too little for the scale to be able to record it
Why the semi log was in linear?
Semilog (applied to a graph) means that one scale is logarithmic, the other not. The prefix "semi-" means "half" or "partially". The scale that is not logarithmic is, of course, linear.
