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, 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)
“Adolescence is a time when children are supposed to move away from parents who are holding firm and protective behind them. When the parents disconnect, the children have no base to move away from or return to. They aren’t ready to face the world alone. With divorce, adolescents feel abandoned, and they are outraged at that abandonment. They are angry at both parents for letting them down. Often they feel that their parents broke the rules and so now they can too.”
—Mary Pipher (20th century)
“Today so much rebellion is aimless and demoralizing precisely because children have no values to challenge. Teenage rebellion is a testing process in which young people try out various values in order to make them their own. But during those years of trial, error, embarrassment, a child needs family standards to fall back on, reliable habits of thought and feeling that provide security and protection.”
—Neil Kurshan (20th century)