Topic Operators

here are all the symbols which can be categorized by topics

01:Functions

02:Geometry

03: Set Theory * Boolean

04:shortWords

01:Functions

Functions

Watch this first

If you have no idea what is a function, watch XR_XharpRazor talks about the basic concept of functions on our Learning Channel :

Defining a function

since a function takes an input and gives you an output, the glyph resembles a rectangle cup collecting the input and a triangle giving the output. In normal maths, when a function is declared, it is mentioned in words that a specific identifier is a function, here the symbol is used to specify that the identifier is a function.

here let's define the function "f(x) = 2x + 5" :

String Script

almost like in normal math, almost everything is the same,

it is just we need to add the "function definition" symbol

Story Board Script

Here, the input is written above the function identifier, and the output below.

Multiple inputs

a function can also have multiple inputs, such that each parameters need to be separated by comas

What's this random function ?

The function above is a famous function "LERP", or linear-interpolation,

which is a function that takes a starting value, ending value, and a t-value, and it gives you a blend n between the 2 values.

Inverse

since the inverse is the total opposite of the original function, the glyph is just the function definition symbol flipped upside-down.

Derivative & Integral

almost like the normal math we know, it is just the "d" from "dy/dx" has it's own symbol, the rest is just one to one substitution here.

derivative

integral

02:Geometry

Geometry

Geometry Components

Just like declaring a function, declaring a geometry component also requires the co-responding symbol to declare that the next identifier is a point/edge/surface/volume/mesh etc.

dot

(0D)

line

(1D)

surface

(2D)

mesh

(3D)

What is that symbol up there ?

It is one of the grammatical (/ fundamental) symbols that will be covered in future chapters.

Examples

declaring a dot "o" to be (0,0)

Geometry Relationships

Just like Equalities between numbers, geometry objects also has relationships, they behave like our normal math symbols : both operands are on both sides