This definition of **copy** is the simplest to grasp the concept. In due places, more sophisticated definitions will be produced.
**Structure**: a **structure** is that which permitting **Similarity** to other **Similars**. **Example**: **Circular** is a structure since it permits **similarity** **to** anything that is **round**. **Example**: **Red** is a structure since it permits **similarity to** anything that is **red**. **Example**: **Numeral** is a structure since it permits **similarity to** anything that is a **number**. ff calls a list e.g. **{1,2,3}** as a **structure**, or a function e.g. **cos\[ \]** a **structure** or an **algebraic structure** e.g. **x^2-1**. # Symbols In Free Form Programming Language (ff) the concept of Symbol is more than one: 1. Individual alphabet in a language e.g. x in English , ω in Greek 2. Composite of individual symbols e.g. dara that while it is the concatenation of four alphabets ff treats it as a single symbol 3. Mathematical symbols e.g. ⨂ 4. Glyph (Unicode) e.g. 🌊 , 💬 5. Glyph a raster image (this option is currently unavailable for HTML use)The mathematical symbols in many cases have particular syntax and semantics in an expression which cannot be altered or ignored.
The mathematical symbol single space or " " is interpreted multiplication in mathematical textbooks. Additionally in ff often " " is assigned the functionality of separator in a list of items.
o be more general ff defines a Symbol as follows:An atomic or indivisible structure with no discerning programmable components is called a Symbol.
# Constants In Free Form Programming Language (ff) the concept of a **Constant** is an **immutable** structure. **Examples** : 5, 𝝅 . # Operators = + - \* / {} () ; "" -> < > <= ⋂ ⋃ ⊕ ✕ ∂ ∈ ∉ ⊂ → and # == value to rhs. What do we mean equal by value? Example: 3 = 6/2 in spite of the fact that lhs and rhs are made from very different expressions but their values are Identical or the same, hence the Identity term. **=** : copies stores the rhs into lhs; ``` // = stores the rhs into lhs; x1 = 5; x2 = 2 * x1; show x2; // == creates an equations between lsh and rhs; x3 = (x1 == 5); show x3; x4 = (x2 == 10); show x4; // lhs and rhs with different variables; x5 = (x2 == 2*x1); show x5; save as equations; ``` # Expressions **Algebraic** a\*(c-u) **Free Form** solve a\*x +b == 0 for x # Words "I am a word" # Phrases The highlighted are the phrases pts = evaluate l2 in the -1 to 3 range at increments of (1/4); Part of a sentence, have a meaning in and of itself, but often has no procedural meaning alone. # Sentences pts = evaluate l2 in the -1 to 3 range at increments of (1/4);FIXME: line cannot be even be used as a subphrase;
l2 := l\[v,t,{0,b}\];