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
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“But the best read naturalist who lends an entire and devout attention to truth, will see that there remains much to learn of his relation to the world, and that it is not to be learned by any addition or subtraction or other comparison of known quantities, but is arrived at by untaught sallies of the spirit, by a continual self-recovery, and by entire humility.”
—Ralph Waldo Emerson (1803–1882)
“But the best read naturalist who lends an entire and devout attention to truth, will see that there remains much to learn of his relation to the world, and that it is not to be learned by any addition or subtraction or other comparison of known quantities, but is arrived at by untaught sallies of the spirit, by a continual self-recovery, and by entire humility.”
—Ralph Waldo Emerson (1803–1882)
“There is but one pride pardonable; that of being above doing a base or dishonorable action.”
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