Exponential
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Exponential :
Something grows exponentially when it repeatedly grows by multiples of some factor in a rapidly accelerating fashion.
Don’t use the word loosely to refer to ordinary rapid, but steady, growth.
Orders of Magnitude :
Many pretentious writers have begun to use the expression “orders of magnitude” without understanding what it means. The concept derives from the scientific notation of very large numbers in which each order of magnitude is ten times the previous one. When the bacteria in a flask have multiplied from some hundreds to some thousands, it is very handy to say that their numbers have increased by an order of magnitude, and when they have increased to some millions, that their numbers have increased by four orders of magnitude.
Number language generally confuses people. Many seem to suppose that a 100% increase must be pretty much the same as an increase by an order of magnitude, but in fact such an increase represents merely a doubling of quantity. A “hundredfold increase” is even bigger: one hundred times as much. If you don’t have a firm grasp on such concepts, it’s best to avoid the expression altogether. After all, “Our audience is ten times as big now as when the show opened” makes the same point more clearly than “Our audience has increased by an order of magnitude.”
Quantum Leap :
The thing about quantum leaps is that they mark an abrupt change from one state to a distinctly different one, with no inbetween transitional states being possible; but they are not large. In fact, in physics a quantum leap is one of the smallest sorts of changes worth talking about. Leave “quantum leap” to the subatomic physicists unless you know what you’re talking about.
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