| Function | Description | Equivalent mathematical notation |
|---|
| "factorial(x)" or "x!" | The factorial of the argument. | x! |
| "asin(x)" | The inverse sine function. | asin(x)=sin-1(x) |
| "acos(x)" | The inverse cosine function. | acos(x)=cos-1(x) |
| "atan(x)" | The inverse tangent function. | atan(x)=tan-1(x) |
| "sin(x)" | The sine function. | sin(x) |
| "cos(x)" | The cosine function. | cos(x) |
| "tan(x)" | The tangent function. | tan(x) |
| "sec(x)" | The secant function (1/cos) | sec(x)=1/cos(x) |
| "csc(x)" | The cosec function (1/sin) | csc(x)=1/sin(x) |
| "cot(x)" | The cotangent function (1/tan) | cot(x)=1/tan(x) |
| "exp(x)" | The exponential function. | ex |
| "ln(x)" | The natural logarithm. | ln x |
| "log(x)" or "log(base, x)" | The logarithm (base is the first argument or 10 by default). | log(x)=log10(x) or logbase(x) |
| "sqrt(x)" | The square root of the argument. | √ x |
| "integral(f,dx)" or
"integral(from, to, f, dx)" | An integral of arg -1 | ∫ f dx |
| "sum(x^i)" | The summation of a series. | Σ xi |
| "product(x^i)" | The product of a series. | Π xi |
| "divergence(f)" | The vector calculus divergence. | div f |
| "gradient(f)" | The gradient of a scalar function. | grad f |
| "curl(f)" | The vector calculus curl operation. | curl f |
| "power(a,b)" or "a^b" | The first argument raised to the power of the second. | ab |
| "fraction(a,b)" or "a/b" | One number divided by a second. | a / b |
| "times(2,a,b)" or "2*a*b" | The multiplication of multiple arguments. | 2 a b |
| "minus(x)" or "-x" or "minus(3,2,1)" or "3-2-1" | A negative argument, or the subtraction of all successive arguments from the first. | -x or 3-2-1 |
| "pm(a,b)" | Denote a plus or minus operation. | a ± b |
| "plus(a,b,c)" | The summation of each of the arguments. | a + b + c |
| "derivative(f,x)" | The derivative of the first argument with respect to the second. | df/dx |
| "partialDerivative(f,x)" | The partial derivative of the first argument with respect to the second. | ∂f/∂x |
| "abs(x)" or "|x|" | The absolute value of the argument. | |x| |
| "norm(x)" or "||x||" | The norm (i.e. length) of the (vector) argument. | ||x|| |
| "ket(x)" or |x> | A representation of quantum state or a vector. | |x> |
| "equals(a,b,c)" or "a=b=c" | The equality between two or more arguments. | a=b=c |
| "notEquals(a,b)" or "a!=b" | The inequality between two or more arguments. | a≠b |
| "lessThan(a,b)" or "a<b" | True if each argument is smaller than its next argument. | a<b |
| "lessThanOrEquals(a,b)" or "a<=b" | That each argument is no grater than its next argument. | a≤b |
| "greaterThan(a,b)" or "a>b" | True if each arguments in value from left to right. | a>b |
| "greaterThanOrEquals(a,b)" or "a>=b" | That each argument is no smaller than its next argument. | a≥b |