algebraic expression

algebraic expression

[¦al·jə¦brā·ik ik′spresh·ən]
(mathematics)
An expression which is obtained by performing a finite number of the following operations on symbols representing numbers: addition, subtraction, multiplication, division, raising to a power.

Algebraic Expression

 

an expression consisting of letters and numbers joined by signs denoting the operations of addition, subtraction, division, raising to whole-number powers, and extraction of roots (exponents of powers and indices of radicals must be constants). An algebraic expression is said to be rational with respect to certain literal symbols included within it if such symbols do not appear under a radical sign: for example, Algebraic Expression is rational with respect to a, b, and c. An algebraic expression is said to be integral with respect to certain literal symbols if it does not contain any division by expressions containing those symbols: for example, 3a/c + bc2 − 3ac/4 is integral with respect to a and b. If some or all of the literal symbols are considered to be variables, the algebraic expression is an algebraic function.

algebraic expression

One or more characters or symbols associated with algebra; for example, A+B=C or A/B.
References in periodicals archive ?
Students are required to find an algebraic expression for the total area in terms of b using either handwritten or CAS-enabled algebra.
Entering the algebraic expression "sin x," then pressing a few keys to take its derivative, displays the answer "cos x" on the calculator's four-line liquid crystal display.
Fill an algebraic expression in the blank hexagons so that any straight line adds to 4x + 2 [ILLUSTRATION OMITTED]
Alexander of the Princeton Institute for Advance Study discovered a systematic procedure for finding a characteristic algebraic expression to represent a particular knot.
However, there is often a big leap from seeing a structural regularity, understanding the generality of that regularity, and finally arriving at a representative algebraic expression.
In this mode, differential and integration calculation results are displayed as they appear in textbooks or on paper in true algebraic expression.
One such method involves using the crossings in a knot diagram to derive a numerical or algebraic expression that serves as label for the knot.
Many predefined building blocks are available, including basic math operations, gain blocks, general algebraic expression blocks, piece-wise linear blocks (such as absolute saturation), the delay block, interpolation blocks, and basic logical and relational blocks support fixed-point datatypes.
An important implication of this observation is that even though Terry's algebraic expression is given in non-simplified form and thus retains what Radford (2002) refers to as a symbolic narrative, this narrative by no means has a unique interpretation.
When you select the second option, the software adds the algebraic expression
And Andrew Bourke of the University of East Anglia in Norwich, England, says the new work takes "a very narrow view of inclusive fitness theory, focusing on details of algebraic expression of the theory at the expense of its essential insights.
Table 1 A general algebraic expression for a hyperbola is y = (ax +b)/(sx+p) In our particular case, we are only interested in one quadrant of the hyperbola passing through the origin, in which case the equation may be simplified as y = 100 - at/(b+t) For such a small number of points as we have here, the constants may very simply be determined by trial, although the development of a least squares algorithm should not be insuperable.

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