Exponential Definition In Science
Exponential series a series derived from the development of exponential equations or quantities.
Exponential definition in science. Exponential equation an equation which contains an exponential quantity or in which the unknown quantity enters as an exponent. Exponentially definition at a steady rapid rate. Definition of exponential from the cambridge academic content dictionary cambridge university press exponential business english. Relating to a mathematical expression containing one or more exponents.
A graph of such a rate would appear not as a line but as a curve that becomes steeper and steeper. The cost of a college education has increased exponentially over the last 30 years. The value of an exponential traces out a curve that gets bigger more and more quickly the bigger it is. Exponential function in mathematics a relation of the form y ax with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
An example of exponential is 25 being shown as 5x5. An example of exponential is the erosion that is happening on the holderness coast in eastern england. Of or relating to the constant e. The definition of exponential refers to a large number in smaller terms or something that is increasing at a faster and faster rate.
The american heritage student science dictionary second edition. An exponential equation is an equation mathematical statement in which the variable letter or symbol appears in an exponent. Mathematics exponential quantity a quantity whose exponent is unknown or variable as a x. Indeed one definition of an exponential is the very fact that it solves that equation.
It occurs when the instantaneous rate of change that is the derivative of a quantity with respect to time is proportional to the quantity itself. Rising or expanding at a steady rapid rate a city experiencing exponential growth.