Comparison of Base Values
The following illustrates the effect of a base different from 10, base 100. It also illustrates representations of numbers, and the arithmetic.
, with base 10 the exponent is doubled.
, ditto.
, the highest exponent is very little more than doubled.
- (thus if n is large it seems fair to say that is "approximately equal to" )
- (compare ; thus if n is large it seems fair to say that is "approximately equal to" )
- (compare )
- (compare )
- (compare ; if n is large this is "approximately" equal)
Read more about this topic: Large Numbers
Famous quotes containing the words comparison of, comparison, base and/or values:
“When we reflect on our past sentiments and affections, our thought is a faithful mirror, and copies its objects truly; but the colours which it employs are faint and dull, in comparison of those in which our original perceptions were clothed.”
—David Hume (1711–1776)
“Most parents aren’t even aware of how often they compare their children. . . . Comparisons carry the suggestion that specific conditions exist for parental love and acceptance. Thus, even when one child comes out on top in a comparison she is left feeling uneasy about the tenuousness of her position and the possibility of faring less well in the next comparison.”
—Marianne E. Neifert (20th century)
“No love is entirely without worth, even when the frivolous calls to the frivolous and the base to the base.”
—Iris Murdoch (b. 1919)
“Normality highly values its normal man. It educates children to lose themselves and to become absurd, and thus to be normal. Normal men have killed perhaps 100,000,000 of their fellow normal men in the last fifty years.”
—R.D. (Ronald David)