Numbers, Variables, and Constants

In Corca, numbers, constants, and variables are not just plain text. Each one is a distinct object that you create, it can be edited, referenced, reused, and connected to other expressions throughout the document. We call these objects nodes. So when you see x or π it is not just the letters "x" or "π" it is nodes—mathematical objects that you're going to work with.

Numbers

Numbers represent numeric values used in calculations. You enter numbers directly from the keyboard. No special commands are required.

Examples:

Numbers behave like standard mathematical objects. They can be edited in place and used inside expressions, for example:

Variables

A variable is a named mathematical object that you insert into the document and then reuse in expressions. In Corca, creating a variable means inserting a variable object, not just typing plain text:x=3

Creating a variable

To create a variable in Corca:

1. Click where you want the variable to appear

2. Type the letter or name you want, for example x or velocity

3. A suggestion list appears. Choose the variable you want from that list

4. Press Enter to insert it as a variable object

For a single-letter variable such as x, the usual shortcut is: type x, then press Enter

After that, the variable behaves as a real mathematical object. You can use it in equations, select it, and edit its properties in the right panel

Examples of variable names:

• x

• (t_1)

• (mass_total)

• (p_initial)

Editing variables

You can modify variable properties at any time using the right panel. Select the variable, and its settings appear automatically.

Editable properties

Changes apply immediately to the selected object.

Variables and constants

Variables and constants are created in the same way. The difference is conceptual:

g=9.81

This object can be treated as a constant. Use it in an expression:

h(t)=1/2*g*t2

Variable dependencies

Expressions can depend on other variables. Corca tracks these relationships automatically.

a=2

b=3

c=a+b

c=

Press Tab.

c=5

Change:

a=4

Recompute:

c=

Press Tab.

c=7

Indexed variables

Variables can include indices. Indices help distinguish related values.

Examples:

• (x_1)

• (x_2)

• (x_total)

Just type your variable and then add _ and the index. Or use the right panel

Common use cases include sequences, datasets, and time-based values.

Objects panel

All variables appear in the Objects panel. The panel provides a structured overview of the objects used in the document.

Common uses

The panel helps maintain clarity in complex documents.

Deleting variables

You can remove a variable from the document. After deletion:

• dependent expressions may become undefined

• results may require recomputation