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# Algebraic

## Definition of the adjective algebraic

What does algebraic mean as an attribute of a noun?

1. of or relating to algebra

### Alternative definition of the adjective algebraic

1. Of, or relating to, algebra.
2. [mathematics, of an expression, equation, or function] Containing only numbers, letters, and arithmetic operators.
3. [mathematics, of a number] Which is a root of some polynomial.
4. [chess, of notation] Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.

## Explanation

Algebraic a.k.a. Algebraic definition: In mathematical logic, an algebraic definition is one that can be given using only equations between terms with free variables. Inequalities and quantifiers are specifically disallowed.

## Printed dictionaries and other books with definitions for Algebraic

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### Ship Stability & Trim (1918)

by Percy A. Hillhouse

The word ' algebraic means that the moments of all elements on one side of the axis must be regarded as positive, and all those on the other side as negative. The 'algebraic sum of all elementary moments is then the numerical difference ...

### Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences (2002)

by Ivor Grattan-Guinness

Algebraic. and. Analytic. Geometry. J. J. Gray. 1 Coordinates in the Plane The present topic isalso called 'Cartesian geometry', andfew names are more appropriate in the history of mathematics,for thecontribution of RenĂ© Descartes was ...

### Encyclopedia of Computer Science and Technology (1994)

Volume 30 - Supplement 15: Algebraic Methodology and Software Technology to System Level Modelling by Allen Kent, James G. Williams

Volume 30 - Supplement 15: Algebraic Methodology and Software Technology to System Level Modelling Allen Kent, James...

### CRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

Algebraic Integer Cox, D.; Little, J.; and O'Shea, D. Ideals, Varieties, and Algorithms: An Introduction to Algebraic Geometry and Commutative Algebra, 2nd ed. New York: SpringerVerlag, 1996. Eisenbud, D. Commutative Algebra with a View ...

### Encyclopaedia of Mathematics, Supplement III (2001)

by Michiel Hazewinkel

BAILY-BOREL COMPACTIFICATION, Satake- Baily-Borel compactification - Let G be a semi-simple linear algebraic group (cf. also Semi-simple algebraic group) defined over Q, meaning that G can be embedded as a subgroup of GL(m, ...

### MCGRAW-HILL DICTIONARY OF MATHEMATICS, 2/E (2002)

by McGraw-Hill Education

algebraic language for unknown quantities. 2. The study of the formal manipulations of equations involving symbols and numbers. 3. An abstract mathematical system consisting of a vector space together with a multiplication by which two ...

### The Mathematics Dictionary (1992)

by R.C. James, Glenn James

algebraic statement that x + x + x = 3.t, where x is any number.

### Mathematical Dictionary and Cyclopedia of Mathematical Science (1872)

Comprising Definitions of All the Terms Employed in Mathematics - an Analysis of Each Branch, and of the Whole, as Forming a Single Science by Charles Davies

Such equations are called algebraic. Higher or Transcendental Algebra treats of those quantities which cannot be exactly expressed by a finite number of algebraic terms, and which are therefore called transcendental. It also investigates the ...

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