0 An exponential rate of increase becomes quicker and quicker as the thing that increases becomes larger:
We are looking for exponential growth in our investment.
There has been an exponential increase in the world population this century.
1 containing an exponent (= a number or sign that shows how many times another number is to be multiplied by itself):
64 is an exponential expression.
2 An exponential equation is an equation (= mathematical statement) in which the variable (= letter or symbol) appears in an exponent.
3 becoming quicker and quicker:
We are looking for exponential growth in our investment.
There has been an exponential increase in sales since the new advertising campaign began.
The main point of difficulty lies in defining the exponentials.
Section 6.5) then the expansion in (4.2) is exact for a finite product of exponentials.
The formulae involve only vector additions, inner products and trigonometric functions (comparing favourably with previous formulae in ref. [16] using exponentials of skew-symmetric matrices).
We explicitly solve this boundary value problem, as an infinite sum of exponentials.
The above construction of map generalises to any category that has exponentials.
However, many of the toposes we shall be dealing with are exponentiable, so exponentials often exist.
In linear logic, contraction makes its way through the exponentials.
Although it is only a toy example, the next theorem is important: the same machinery could work mutatis mutandis in the case of exponentials.
中文繁体
增長的, (增長率)越來越快的,呈指數階(增長)的, 數字的…
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增长的, (增长率)越来越快的,呈几何数(增长)的, 数字的…
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exponencial…
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wykładniczy, lawinowy…
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