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 (17111776)
“In comparison to the French Revolution, the American Revolution has come to seem a parochial and rather dull event. This, despite the fact that the American Revolution was successfulrealizing the purposes of the revolutionaries and establishing a durable political regimewhile the French Revolution was a resounding failure, devouring its own children and leading to an imperial despotism, followed by an eventual restoration of the monarchy.”
—Irving Kristol (b. 1920)
“And all the popular statesmen say
That purity built up the State
And after kept it from decay;
Admonish us to cling to that
And let all base ambition be,
For intellect would make us proud....”
—William Butler Yeats (18651939)
“When the shingles hissed
in the rain incendiary,
other values were revealed to us,”
—Hilda Doolittle (18861961)