Commands Reference

This is a complete overview of the math commands available for scripting in Algebrakit. Click a command for more information.

Constructs

Command	Description
`For`	`For` executes the script within the for-loop repeatedly for each element of a given list.
`If`	`If` checks a condition and executes a script block based on the result.
`While`	`While` checks the condition and executes the script block until the condition is `False`.

List Commands

Command	Description
`Concat`	`Concat` concatenates expressions or lists into a single list.
`ConstantArray`	`ConstantArray` creates a list containing a number of copies of a given value.
`Difference`	`Difference` creates a list containing the elements of the first list, where the elements from the second list are removed.
`FindI`	`FindI` returns the first index where an expression appears in a list.
`GetCommonBase`	`GetCommonBase` returns the common base of the expressions in a list.
`Intersect`	`Intersect` returns the list of elements that occur in all given lists.
`ImplicitList`	`ImplicitList` displays the arguments as a list without the curly braces normally shown when displaying as a list.
`Length`	`Length` returns the length of a list.
`Map`	`Map` applies a given function or mapping to each element of a given list.
`MaxI`	`MaxI` returns the index of the maximum value in a list.
`Mean`	`Mean` returns the mean of the values in a list.
`RemoveI`	`RemoveI` returns a new list with all the elements at the given indices removed.
`Shuffle`	`Shuffle` returns a copy of a list in a random order.
`Sort`	`Sort` returns a copy of a list sorted in numerical order.
`Tally`	`Tally` counts how often each element occurs in a list.

Math Commands

Command	Description
`CalcAbs`	`CalcAbs` returns the absolute value of an integer.
`CalcDivision`	`CalcDivision` returns the division of two given integers.
`CalcDivisors`	`CalcDivisors` returns all divisors of a number.
`CalcGcd`	`CalcGcd` returns the greatest common divisor of a number.
`CalcLcm`	`CalcLcm` returns the least common multiple of a number.
`CalcPlus`	`CalcPlus` returns the sum of given values.
`CalcPower`	`CalcPower` returns the exponentiation of two given integers.
`CalcTimes`	`CalcTimes` returns the product of given values.
`Ceil`	`Ceil` returns the smallest integer greater than or equal to a value.
`DecimalToFraction`	`DecimalToFraction` returns the simplest fraction representing the given (decimal) value.
`Denominator`	`Denominator` returns the denominator of a fraction.
`EqualsEval`	`EqualsEval` checks if both expressions evaluate to the same expression.
`ExponentialStandardForm`	`ExponentialStandardForm` returns the exponential standard form of an expression.
`Factorial`	`Factorial` represents the factorial operator.
`FactorInt`	`FactorInt` returns the prime factorisation of a number.
`Floor`	`Floor` returns the largest integer less than or equal to a value.
`IsMatch`	`IsMatch` checks if two expressions are equivalent in a mathematical way. In other words, a generalised way of checking for a certain equality.
`LinearGeneralForm`	`LinearGeneralForm` returns the linear general form of an expression and given variable(s) in a list.
`LinearStandardForm`	`LinearStandardForm` returns the linear standard form of an expression and given variable.
`Negative`	`Negative` applies the minus operator to an expression.
`Numerator`	`Numerator` returns the numerator of a fraction.
`Numerical`	`Numerical` returns the approximate numerical value of an expression.
`PolynomialDegree`	`PolynomialDegree` determines the degree of a polynomial.
`Round`	`Round` rounds a value to the nearest integer.
`RoundDown`	`RoundDown` rounds a number down to the nearest whole number.
`RoundUp`	`RoundUp` rounds a number up to the nearest whole number.
`Smaller`	`Smaller` represents the mathematical 'smaller than' relation.
`SmallerEqual`	`SmallerEqual` represents the mathematical 'smaller than or equals' relation.
`UnequalsEval`	`UnequalsEval` checks if two expressions do not evaluate to the same expression.

Randomisation Commands

Command	Description
`RandomInt`	`RandomInt` randomly selects one or more random integer numbers from a range.
`RandomSample`	`RandomSample` randomly selects a sample of a size from a list.
`RandomSelect`	`RandomSelect` randomly selects an expression from a list of expressions.
`RandVars`	`RandVars` randomly selects a given number of variables.
`Shuffle`	`Shuffle` returns a copy of a list in a random order.

Vectors

Command	Description
`BaseVector`	`BaseVector` represents the concept of a vector in basis form.
`ComponentForm`	`ComponentForm` converts the vectors in an expression to component form.
`Magnitude`	`Magnitude` returns the magnitude of a vector.
`PolarForm`	`PolarForm` converts the vectors in an expression to polar form.
`PolarVector`	`PolarVector` represents the concept of a vector in polar form.
`Vector`	`Vector` represents the concept of a coordinate or vector.
`VectorHarpoon`	`VectorHarpoon` represents one of the notations for a vector. The arrow represents right-pointing arrow notation or harpoons.

Miscellaneous

Command	Description
`Apply`	`Apply` replaces the first function of an expression with a different function.
`FuncApplication`	`FuncApplication` evaluates a function for an input.
`GenBasicFraction`	`GenBasicFraction` generates a list of `n` basic fractions. A basic fraction is a fraction with 1 in the numerator and a not-too-difficult integer in the denominator.
`GenSimpleFraction`	`GenSimpleFraction` generates a list of `n` simple fractions.
`MCEOption`	`MCEOption` defines a multiple-choice option.
`OrderAs`	`OrderAs` orders the arguments of the first argument to relate as close as possible to the second argument.
`Quantity`	`Quantity` represents the value with a unit (e.g. meters, euros, minutes).
`RemoveFunction`	`RemoveFunction` removes all occurrences of a given function from an expression.
`Strict`	`Strict` checks whether a condition strictly holds.
`Substitute`	`Substitute` substitutes all occurrences of an expression with another given expression.
`Simplify`	`Simplify` fully simplifies an expression, executing any Algebrakit instructions in the expression.
`Type`	`Type` returns the type of an expression.