Section 1.1 Prerequisites - Set Theory and Mathematical Symbols

Vocabulary flashcards covering set definitions and mathematical symbol notation from Section 1.1 Prerequisites lecture notes.

Set

A well-defined collection of objects with no duplication.

Finite Set

A set containing a limited number of elements, such as $S = \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$.

Infinite Set

A set containing an unlimited number of elements, such as $D = \{1, 2, 3, \dots\}$.

$$\varnothing$$

The empty set, representing a set containing no elements.

$$\mathbb{N}$$

The set of natural numbers.

$$\mathbb{Z}$$

The set of integers.

$$\mathbb{Q}$$

The set of rational numbers.

$$\mathbb{Q}^c$$

The set of irrational numbers.

$$\mathbb{R}$$

The set of real numbers.

$$\mathbb{C}$$

The set of complex numbers.

$$\in$$

Symbol meaning 'is an element of' or 'belongs to', as in $a \in A$.

$$\exists$$

Mathematical symbol meaning 'there exists'.

$$\forall$$

Mathematical symbol meaning 'for all' or 'for every'.

$$\mid$$

Mathematical symbol meaning 'such that'.