About Modifiers

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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.	assume explicit
acos	Rewrites expressions in terms of the inverse cosine function.	rewrite
acot	Rewrites expressions in terms of the inverse cotangent function.	rewrite
arg	Returns the principal argument of z, between −π and π, including π. The argument is the value of θ when z is written as \|z\|·e^i·θ.	rewrite
asin	Rewrites expressions in terms of the inverse sine function.	rewrite
atan	Rewrites expressions in terms of the inverse tangent function.	rewrite combine
atan2	Rewrites expressions in terms of the inverse tangent function.	rewrite
cauchy	Returns the Cauchy principal value of an integral.	Symbolic evaluation of integrals
coeff	Replaces all numeric coefficients in the expression with generated variables during the decomposition.	decomp
complex	Specifies that a variable is a complex number, or that an operation is performed over the complex numbers.	assume factor parfrac
cos	Rewrites expressions in terms of the cosine function.	rewrite
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
degree	Returns a second column in the output of coeffs containing the degrees of the terms.	coeffs
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	factor parfrac
even	Specifies that a variable is an integer divisible by two.	assume
exp	Combines or rewrites expressions using identities for the exponential function.	combine rewrite
expr	Displays only the rewritten expression using the generated variables after the decomposition.	decomp
fact	Returns the calculation with factorial terms.	rewrite
fraction	Returns a continued fraction as a fraction.	confrac
fully	Returns a detailed solution to an equation.	solve substitute series simplify fourier rewrite rectangular parfrac
func	Identifies and replaces repeated expressions in the decomposition with generated variables.	decomp
gamma	Rewrites expressions involving factorials in terms of the gamma function.	rewrite
generated	Makes assumptions about generated variables in solutions when used along with keyword solve. Filters result by the domain (complex or real) or by condition (>,<, =).	solve
Φ (Heaviside)	Rewrite an expression in terms of the Heaviside function.	rewrite
integer	Specifies that a variable is an integer.	assume
ln	Combines or rewrites expressions using identities for the natural logarithm function.	combine rewrite
log	Combines or rewrites expressions using identities for the base-10 logarithm function.	combine rewrite
matrix	Returns a continued fraction in array form.	confrac
max	Performs additional steps of the simplify algorithm for greater simplification, with the keywords fully and simplify. With the keyword decomp it enables a deeper decomposition by allowing previously defined generated variables to be used within other generated variables.	fully simplify decomp
nfact	Sets normalization factor of Fourier transform.	fourier
odd	Specifies that a variable is an integer not divisible by 2.	assume
ofact	Sets oscillatory factor of Fourier transform.	fourier
parts	Displays only the generated variables and their definitions after the decomposition.	decomp
power	Replaces all numeric powers in the expression with generated variables during the decomposition.	decomp
raw	Returns results in unsimplified form.	fourier invfourier laplace invlaplace rewrite ztrans invztrans substitute
real	Specifies that a variable is a real number, or that an operation is performed over the real numbers.	assume factor solve
RealRange	Specifies that a variable is in a range of real numbers.	assume
sign	Rewrite an expression in terms of the sign function.	rewrite
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.	combine rewrite
sinh	Rewrites expressions in terms of the hyperbolic sine function.	rewrite
sinhcosh	Combines or rewrites expressions using identities for hyperbolic sine and hyperbolic cosine.	combine rewrite
tan	Rewrites expressions in terms of the tangent function.	rewrite
tanh	Rewrites expressions in terms of the hyperbolic tangent function.	rewrite
using	Replaces a generated variable in the solution to an equation.	solve

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.