Its operation is the same as complex exponential. 并且规定它的运算与复指数运算相同。
Human rights violations are also on an exponential rise. 违反人权案例也成几何比例成长。
Exponential and trigonometric Functions: read Chapter2 and do exercises. 指数和三角函数:阅读第二章以及做练习题。
exponential
[ noun ]
a function in which an independent variable appears as an exponent
<noun.linkdef> [ adj ]
of or involving exponents
<adj.pert> exponential growth
Exponential \Ex`po*nen"tial\, a. [Cf. F. exponentiel.] 1. Pertaining to exponents; involving variable exponents; as, an exponential expression; exponential calculus; an exponential function.
2. changing over time in an exponential manner, i. e. increasing or decreasing by a fixed ratio for each unit of time; as, exponential growth; exponential decay. [PJC]
Note:
{Exponential growth} is characteristic of bacteria and other living populations in circumstances where the conditions of growth are favorable, and all required nutrients are plentiful. For example, the bacterium {Escherichia coli} in rich media may double in number every 20 minutes until one of the nutrients becomes exhausted or waste products begin to inhibit growth. Many fascinating thought experiments are proposed on the theme of exponential growth. One may calculate, for example how long it would take the progeny of one {Escherichia coli} to equal the mass of the known universe if it multiplied unimpeded at such a rate. The answer, assuming the equivalent of 10^{80} hydrogen atoms in the universe, is less than three days. Exponential increases in a quantity can be surprising, and this principle is often used by banks to make investment at a certain rate of interest seem to be very profitable over time.
{Exponential decay} is exhibited by decay of radioactive materials and some chemical reactions (first order reactions), in which one-half of the initial quantity of radioactive element (or chemical substance) is lost for each lapse of a characteristic time called the {half-life}. [PJC]
{Exponential curve}, a curve whose nature is defined by means of an exponential equation.
{Exponential equation}, an equation which contains an exponential quantity, or in which the unknown quantity enters as an exponent.
{Exponential quantity} (Math.), a quantity whose exponent is unknown or variable, as a^{x}.
{Exponential series}, a series derived from the development of exponential equations or quantities.
How to face the exponential increases in the number of people demanding more goods.
De Becker said he is in constant demand because of an exponential growth in the volume of fan nuisance letters in recent years.
"It does not continue to catch fish at an exponential rate, as Asa Wright would like to have you believe," Eger said.
With Turkish family companies flocking in for listings, further exponential growth seems likely.
That is, wealth equals physical resources times technology, which has an exponential impact.