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Algebra - Introduction   

 

Functions Alphabetically

Here is a listing of all of functions and commands recognised by Algebra UltimaCalc, in approximately alphabetic order. Click on an appropriate link for more information


abs - absolute value.

acos, acosec, acot - inverse trigonometric functions.

acosech, acosh, acoth - inverse hyperbolic functions.

acsc, acsch, arccos, arccosh - synonyms for acosec, acosech, acos, acosh

arccosec, arccosech, arccot, arccoth - synonyms for acosec, acosech, acot, acoth

arccsc, arccsch, arcsec, arcsech - synonyms for acosec, acosech, asec, asech

arcsin, arcsinh, arctan, arctanh - synonyms for asin, asinh, atan, atanh

asec, asin - inverse trigonometric functions.

asech, asinh - inverse hyperbolic functions.

atan, atanh - inverse trigonometric and inverse hyperbolic functions.

coeff - returns a coefficient of a polynomial.

collect - collects together similar terms.

cos, cosec, cot, csc - trigonometric functions. cosec and csc are synonyms

cosech, cosh, coth, csch - hyperbolic functions. cosech and csch are synonyms

decimal - makes a copy of the original expression, converting all fractions into decimals.

degree - returns the degree of a polynomial.

denominator - returns the denominator of the ratio of two expressions.

diff - differentiates an expression.

equals - a function used by Algebra to represent an equation.

eval - evaluates an expression to a specified depth of recursion.

evaluate - evaluates an expression, using UltimaCalc's calculation engine.

exp - the exponential function.

expand - expands an expression by multiplying out products containing sums.

expexpand - expands an exponential expression.

expcontract - contracts an exponential expression.

expsimp - "exponential simplify" simplifies an exponential expression.

factors - factorises a polynomial.

gcd - obtains the greatest common divisor (GCD) of two integers or expressions.

how - explains how an expression was integrated.

integrate - integrates an expression.

iquot and irem return the quotient and remainder when one integer is divided by another.

irootn - obtains the integer nth root of an integer.

isqrt - obtains the integer square root of an integer. See sqrt.

lhs - returns the left-hand side of an equation.

ln, log - the (natural) logarithm function. The two names are synonymous.

mod - the modulo function.

numerator - returns the numerator of the ratio of two expressions.

partfract - calculates a partial fraction representation of an expression.

polydecomp - performs a polynomial decomposition.

polydiv - divides one polynomial by another.

polyexpand - performs a polynomial expansion.

polyquot - returns the quotient when one polynomial is divided by another.

polyrem - returns the remainder when one polynomial is divided by another.

ratsimp - converts an expression into rational form.

ratsimp - "rational simplify" simplifies a rational expression.

rhs - returns the right-hand side of an equation.

sec, sech - trigonometric and hyperbolic functions.

showpoly - rearrange an expression in order to show it more clearly as a polynomial.

showseries - rearrange an expression in order to show it more clearly as a power series.

sin, sinh - trigonometric and hyperbolic functions.

sqrt - obtains the square root of a number or raises an expression to the power of 1/2. See isqrt.

subs - performs substitutions in an expression.

tan, tanh - trigonometric and hyperbolic functions.

taylor - calculates a Taylor or Maclaurin series.

trigsimp - "trigonometric simplify" simplifies a trigonometric expression.

trigexpand - expands a trigonometric expression.

trigcontract - contracts a trigonometric expression.

unassign - undoes the assignment of a value to a symbol.