EXPONENTIAL Meaning and
Definition
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Exponential is an adjective that describes a rapid or significant growth pattern in quantity, intensity, size, or rate over time. This term originates from the mathematical concept of exponential functions, where values increase dramatically as a constant base is raised to a power.
In general usage, exponential refers to a phenomenon that expands or multiplies at an accelerating pace. It implies a compounding effect where the growth rate itself increases over time. For instance, in population dynamics, exponential growth suggests a rapid increase of individuals in a population that builds upon itself, resulting in a doubling or tripling effect. Similarly, in financial contexts, exponential growth pertains to compounding interest, where the growth rate becomes progressively larger and more impactful.
Furthermore, exponential growth can be observed in various fields, such as technology, where advancements evolve at an extraordinarily fast pace. It can also describe the expansion of knowledge or understanding, where previous discoveries or insights serve as a foundation for further discoveries, leading to an exponential increase in understanding.
In summary, exponential signifies a rapid and accelerating growth pattern, characterized by a compounding effect or a growing rate of change over time. It conveys the notion of substantial and increasingly significant expansion or development, often with implications of speed, magnitude, or intensity.
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Pert. to exponents or certain curves or equations, &c.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
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Etymology of EXPONENTIAL
The word "exponential" has its origin in the Latin language. It comes from the Latin word "exponens", which is the present participle of the verb "exponere". "Exponere" is a combination of two Latin words: "ex", meaning "out", and "ponere", meaning "to put" or "to place". Therefore, "exponens" can be translated as "one who puts out" or "one who sets forth".
In mathematics, the term "exponential" first appeared in the 17th century and was introduced by the Swiss mathematician Jacob Bernoulli. It was used to describe a mathematical function where a constant base is raised to a variable exponent. The concept of exponential growth or decay was further developed by mathematicians like Leonhard Euler and Pierre Simon Laplace in the 18th century.
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