Functions

In Corca, a function is a structured mathematical object with a symbol and one or more arguments. Functions behave like reusable components. They can be evaluated, modified, and referenced throughout a document.

Functions are not plain text. Their arguments, parameters, and formatting remain editable at all times.

Creating a function

You create a function by typing its name and selecting it from suggestions. Type sin, select Sine from suggestions. Result: sin().

Built-in functions

Common mathematical functions are available by default.

The full list is here.

Functions behave consistently with standard mathematical definitions.

Defining your own function

You can define a custom function using assignment: ƒ(x)=x2. A function named ƒ is created. You can now evaluate it: ƒ(3). The result will be ƒ(3)=9.

The function remains linked to its definition.

Evaluating a function

Functions can be evaluated directly:

ƒ(x)=x2

ƒ(4)=

Press Tab.

Result: ƒ(4)=16

Evaluation uses the current function definition.

Multiple arguments

Functions can accept more than one argument: =x+y. Arguments remain individually editable.

Editing function properties

You can modify function details using the right panel. Editable properties include

Changes apply immediately to the function.

Parentheses behavior

Function parentheses are managed automatically.

Parentheses may be hidden in simple cases assin(x). And they remain visible when needed to avoid ambiguity: sin(x+1).

You can control parentheses visibility manually from the right panel.

Nested functions

Functions can be used inside other functions: sin(cos(x)).

Each function remains independently editable.

Functions in imported content

Functions imported from LaTeX or other formats are converted into structured objects. Example input:

\sin(x)

You get a structured sine function: sin(x). Imported functions behave exactly like native ones.