Symbol

Symbolica documentation for getting started, symbolic expressions, numerical evaluation, pattern matching, and APIs in Python and Rust.

`Symbol`

Symbol()

Built-in Symbolica symbols.

Attributes

Name	Description
`ABS`	The built-in absolute value function.
`ACOS`	The built-in inverse cosine function.
`ACOSH`	The built-in inverse hyperbolic cosine function.
`ACOT`	The built-in inverse cotangent function.
`ACOTH`	The built-in inverse hyperbolic cotangent function.
`ACSC`	The built-in inverse cosecant function.
`ACSCH`	The built-in inverse hyperbolic cosecant function.
`ALT`	The built-in alternative-pattern function.
`ASEC`	The built-in inverse secant function.
`ASECH`	The built-in inverse hyperbolic secant function.
`ASIN`	The built-in inverse sine function.
`ASINH`	The built-in inverse hyperbolic sine function.
`ATAN`	The built-in inverse tangent function.
`ATANH`	The built-in inverse hyperbolic tangent function.
`BESSEL_I`	The built-in modified Bessel function of the first kind.
`BESSEL_J`	The built-in cylindrical Bessel function of the first kind.
`BESSEL_K`	The built-in modified Bessel function of the second kind.
`BESSEL_Y`	The built-in cylindrical Bessel function of the second kind.
`COEFF`	The built-in function that convert a rational polynomials to a coefficient.
`COMPLEX_INFINITY`	The number that represents infinity with an unknown complex phase: `∞`.
`CONJ`	The built-in complex conjugate function.
`COS`	The built-in cosine function.
`COSH`	The built-in hyperbolic cosine function.
`COT`	The built-in cotangent function.
`COTH`	The built-in hyperbolic cotangent function.
`CSC`	The built-in cosecant function.
`CSCH`	The built-in hyperbolic cosecant function.
`E`	Euler’s number `e`, approximately `2.7182`.
`ERF`	The built-in error function.
`EULER_GAMMA`	The Euler-Mascheroni constant `γ`, approximately `0.57721`.
`EXP`	The built-in exponential function.
`GAMMA`	The built-in gamma function.
`I`	The mathematical constant `i`, where `i^2 = -1`.
`IF`	The built-in function for piecewise-defined expressions
`INDETERMINATE`	The number that represents indeterminacy: `¿`.
`INFINITY`	The number that represents infinity: `∞`.
`LOG`	The built-in logarithm function.
`PI`	The mathematical constant `π`, approximately `3.1415`.
`POLYGAMMA`	The built-in polygamma function.
`POLYLOG`	The built-in polylogarithm function.
`ROOT`	The built-in algebraic root function.
`SEC`	The built-in secant function.
`SECH`	The built-in hyperbolic secant function.
`SIN`	The built-in sine function.
`SINH`	The built-in hyperbolic sine function.
`SQRT`	The built-in square root function.
`TAN`	The built-in tangent function.
`TANH`	The built-in hyperbolic tangent function.
`ZETA`	The built-in Riemann zeta function.

`ABS`

ABS: Expression

The built-in absolute value function.

`ACOS`

ACOS: Expression

The built-in inverse cosine function.

`ACOSH`

ACOSH: Expression

The built-in inverse hyperbolic cosine function.

`ACOT`

ACOT: Expression

The built-in inverse cotangent function.

`ACOTH`

ACOTH: Expression

The built-in inverse hyperbolic cotangent function.

`ACSC`

ACSC: Expression

The built-in inverse cosecant function.

`ACSCH`

ACSCH: Expression

The built-in inverse hyperbolic cosecant function.

`ALT`

ALT: Expression

The built-in alternative-pattern function.

`ASEC`

ASEC: Expression

The built-in inverse secant function.

`ASECH`

ASECH: Expression

The built-in inverse hyperbolic secant function.

`ASIN`

ASIN: Expression

The built-in inverse sine function.

`ASINH`

ASINH: Expression

The built-in inverse hyperbolic sine function.

`ATAN`

ATAN: Expression

The built-in inverse tangent function.

`ATANH`

ATANH: Expression

The built-in inverse hyperbolic tangent function.

`BESSEL_I`

BESSEL_I: Expression

The built-in modified Bessel function of the first kind.

`BESSEL_J`

BESSEL_J: Expression

The built-in cylindrical Bessel function of the first kind.

`BESSEL_K`

BESSEL_K: Expression

The built-in modified Bessel function of the second kind.

`BESSEL_Y`

BESSEL_Y: Expression

The built-in cylindrical Bessel function of the second kind.

`COEFF`

COEFF: Expression

The built-in function that convert a rational polynomials to a coefficient.

`COMPLEX_INFINITY`

COMPLEX_INFINITY: Expression

The number that represents infinity with an unknown complex phase: ∞.

`CONJ`

CONJ: Expression

The built-in complex conjugate function.

`COS`

COS: Expression

The built-in cosine function.

`COSH`

COSH: Expression

The built-in hyperbolic cosine function.

`COT`

COT: Expression

The built-in cotangent function.

`COTH`

COTH: Expression

The built-in hyperbolic cotangent function.

`CSC`

CSC: Expression

The built-in cosecant function.

`CSCH`

CSCH: Expression

The built-in hyperbolic cosecant function.

`E`

E: Expression

Euler’s number e, approximately 2.7182.

`ERF`

ERF: Expression

The built-in error function.

`EULER_GAMMA`

EULER_GAMMA: Expression

The Euler-Mascheroni constant γ, approximately 0.57721.

`EXP`

EXP: Expression

The built-in exponential function.

`GAMMA`

GAMMA: Expression

The built-in gamma function.

`I`

I: Expression

The mathematical constant i, where i^2 = -1.

`IF`

IF: Expression

The built-in function for piecewise-defined expressions. IF(cond, true_expr, false_expr) evaluates to true_expr if cond is non-zero and false_expr otherwise.

`INDETERMINATE`

INDETERMINATE: Expression

The number that represents indeterminacy: ¿.

`INFINITY`

INFINITY: Expression

The number that represents infinity: ∞.

`LOG`

LOG: Expression

The built-in logarithm function.

`PI`

PI: Expression

The mathematical constant π, approximately 3.1415.

`POLYGAMMA`

POLYGAMMA: Expression

The built-in polygamma function.

`POLYLOG`

POLYLOG: Expression

The built-in polylogarithm function.

`ROOT`

ROOT: Expression

The built-in algebraic root function.

`SEC`

SEC: Expression

The built-in secant function.

`SECH`

SECH: Expression

The built-in hyperbolic secant function.

`SIN`

SIN: Expression

The built-in sine function.

`SINH`

SINH: Expression

The built-in hyperbolic sine function.

`SQRT`

SQRT: Expression

The built-in square root function.

`TAN`

TAN: Expression

The built-in tangent function.

`TANH`

TANH: Expression

The built-in hyperbolic tangent function.

`ZETA`

ZETA: Expression

The built-in Riemann zeta function.

Methods

Name	Description
`get`	Returns the variable with the given name, if it exists.

`get`

Symbol.get(name: str) -> Expression | None

Returns the variable with the given name, if it exists.