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Here is some of the most used symbols for this semester (they need to be in math-mode, i.e., surrounded by $'s or between \[ and \]): Symbol.
Typology: Study notes
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Firstly, I recommend you load the amsmath, amssymb and mathrsfs pack- ages. Some of the commands below won’t work without them!
Here is some of the most used symbols for this semester (they need to be in math-mode, i.e., surrounded by $’s or between [ and ]):
Symbol Command
≤ (less than or equal to) \leq
≥ (greater than or equal to) \geq
6 = (not equal to) neq
2100 (exponents) 2^{100}
a 84 (subscripts) a^{84} 32 873 (fractions)^ \frac{32}{873} ∧ (and) \land
∨ (or) \lor
¬ (not) \neg
→ (implies) \rightarrow
↔ (iff) \leftrightarrow
Symbol Command
∈ (belongs to) \in
6 ∈ (does not belongs to) \not\in
∪ (union) \cup
∩ (intersection) \cap
⊆ (contained in) \subseteq
⊇ (contains) \supseteq
\ (difference of sets) \setminus
( (contained in but different) \subsetneq
) (contains but different) \supsetneq
{} (braces) { }
Z (integers) \mathbb{Z}
∅ (empty set) \varnothing
∀ (for all) \forall
∃ (there exists) \exists
F (family F of sets) \mathcal{F}
P (power set) \mathscr{P} ⋃ i∈I Ai^ (union)^ \bigcup_{i \in I} A_i ⋂ i∈I Ai^ (intersection)^ \bigcap_{i \in I} A_i
To insert text inside math mode, like in set representation, use the \text command: {x ∈ Z | x is odd}
is accomplished with { x \in \mathbb{Z} ; | ; x \text{ is odd} }. (The ; introduces extra horizontal space.)