# Algebraically

of, occurring in, or utilizing .

Mathematics. of or relating to an element that is the root of a polynomial equation with coefficients from some given field:

is algebraic over the field of real numbers.

using arbitrary letters or symbols in place of the letters, symbols, or numbers of an actual application.

Historical *Examples*

The problem of finding the maximum product of n positive quantities whose sum is given may also be found, algebraically, thus.

Encyclopaedia Britannica, 11th Edition, Volume 17, Slice 8 Various

A locus or curve may be algebraically specified in another way; viz.

Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 Various

**adjective**

of or relating to algebra: an algebraic expression

using or relating to finite numbers, operations, or relationships

**adj.**

1660s, from algebra + -ic. Earlier was algebraical (1570s).

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a field in which every polynomial equation with coefficients that are elements of the field has at least one root in the field, as the field of complex numbers.

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an expert in . Historical Examples Like the great French algebraist, Vieta, from whom he drew much of his inspiration, he was an amateur mathematician. William Oughtred Florian Cajori The problem is of course (as any algebraist sees at once) a case of “simultaneous simple equations.” A Tangled Tale Lewis Carroll

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