different between quadratic vs exponential

English

Alternative forms

• quadratick (obsolete)

Etymology

From French quadratique (1765), from Latin quadr?tus + -ique (English -ic), form of quadr? (“I make square”), from qu?drus (“square”), ultimately from Proto-Indo-European *k?etwóres (“four”), whence also Latin quartus (“four”).

Adjective

quadratic (not comparable)

1. square-shaped
2. (mathematics) of a polynomial, involving the second power (square) of a variable but no higher powers, as ${\displaystyle ax^{2}+bx+c}$.
3. (mathematics) of an equation, of the form ${\displaystyle ax^{2}+bx+c=0}$.
4. (mathematics) of a function, of the form ${\displaystyle y=ax^{2}+bx+c}$.

Translations

Noun

quadratic (plural quadratics)

1. (mathematics) A quadratic polynomial, function or equation.

Usage notes

Not to be confused with quartic (“degree four”). Both derive ultimately from Proto-Indo-European *k?etwóres (“four”), with quadratic coming from “four-sided”, hence “square, two-dimensional, degree two”.

Derived terms

Related terms

See also

• square

References

Further reading

• quadratic in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• quadratic in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
• quadratic at OneLook Dictionary Search

English

Pronunciation

• (UK) enPR: ?k-sp?-n?n'-ch?l, IPA^(key): /??k.sp??.?n?n.t??l/
• (US) enPR: ?k-sp?-n?n'-ch?l, IPA^(key): /??k.spo?.?n?n.t??l/

Adjective

exponential

1. Relating to an exponent.
2. (mathematics) Expressed in terms of a power of e.
3. (mathematics) Characterised by a rate of change that is proportional to the value of the varying quantity, or, equivalently, by a doubling or halving over successive fixed intervals of time or other parameter.

   exponential growth, exponential decay

   There were two deaths on Monday, four on Tuesday, and eight on Wednesday. The rate of increase seems exponential.

4. (loosely) Characterised by a very rapid rate of change, especially increase.

Usage notes

• In non-technical contexts, the term is sometimes used loosely to refer to any kind of very rapid change, especially increase. This usage is often discouraged unless the change in question is truly exponential; synonyms such as dramatic may be favored instead.

Antonyms

• nonexponential

Derived terms

Translations

Noun

exponential (plural exponentials)

1. (mathematics) Any function that has an exponent as an independent variable.

References

• UCS - The World’s Population Hasn’t Grown Exponentially for at Least Half a Century