Symbolics > Keywords and Modifiers > About Modifiers
Modifiers are special terms that you can use to modify the behavior of keywords. For example, you can use the modifier real after the keyword assume to require that a variable be a real number.
The available modifiers and their corresponding valid keywords are listed below:
Modifier
Description
Used with Keyword(s)
ALL
Applies keyword to each variable in an expression.
acos
Rewrites expressions in terms of the inverse cosine function.
acot
Rewrites expressions in terms of the inverse cotangent function.
asin
Rewrites expressions in terms of the inverse sine function.
atan
Rewrites expressions in terms of the inverse tangent function.
rewrite
combine
Returns the Cauchy principal value of an integral.
Symbolic evaluation of integrals
complex
Specifies that a variable is a complex number, or that an operation is performed over the complex numbers.
cos
Rewrites expressions in terms of the cosine function.
cosh
Rewrites expressions in terms of the hyperbolic cosine function.
rewrite
cot
Rewrites expressions in terms of the cotangent function.
rewrite
coth
Rewrites expressions in terms of the hyperbolic cotangent function.
rewrite
Returns a second column in the output of coeffs containing the degrees of the terms.
domain
For keyword factor
When domain is real - decomposes by real roots of input expression
When domain is complex - decomposes by all roots of input expression
For keyword parfrac
When domain is real - decomposes according by real roots of denominator
When domain is complex - decomposes by all roots of denominator
Specifies that a variable is an integer divisible by two.
exp
Combines or rewrites expressions using identities for the exponential function.
Returns a continued fraction as a fraction.
Returns a detailed solution to an equation.
substitute
series
simplify
fourier
rewrite
rectangular
parfrac,
gamma
Rewrites expressions involving factorials in terms of the gamma function.
Makes assumptions about generated variables in solutions when used along with keyword solve. Filters result by the domain (complex or real) or by condition (>,<, =).
Specifies that a variable is an integer.
ln
Combines or rewrites expressions using identities for the natural logarithm function.
log
Combines or rewrites expressions using identities for the base-10 logarithm function.
matrix
Returns a continued fraction in array form.
max
Performs additional steps of the simplify algorithm for greater simplification.
simplify
nfact
Sets normalization factor of Fourier transform.
Specifies that a variable is an integer not divisible by 2.
ofact
Sets oscillatory factor of Fourier transform.
raw
Returns results in unsimplified form.
fourier
invfourier
laplace
invlaplace
ztrans
invztrans
Specifies that a variable is a real number, or that an operation is performed over the real numbers.
RealRange
Specifies that a variable is in a range of real numbers.
signum
Rewrites expressions involving the Heaviside function in terms of the signum function, which extracts the sign of a number.
rewrite
sin
Rewrites expressions in terms of the sine function.
rewrite
sincos
Combines or rewrites expressions using identities for sine and cosine.
Rewrites expressions in terms of the hyperbolic sine function.
sinhcosh
Combines or rewrites expressions using identities for hyperbolic sine and hyperbolic cosine.
rewrite
tan
Rewrites expressions in terms of the tangent function.
rewrite
tan
Rewrites expressions in terms of the hyperbolic tangent function.
using
Replaces a generated variable in the solution to an equation.
Special Modifiers
You can use the modifiers fully and using as standalone keywords without adding a preceding keyword. You can use any valid combination of keywords and modifiers by adding a comma between the keyword and the modifier. You can also press Shift+Enter and add the same modifier on the next line.