Skip to content

1.0 sets

set

Synonyms for “set” are “class,” “collection,” and “family.

A set is defined as any well-defined collection of objects or elements.

usually uses capital letters A, B, X, Y, Y,..., to denote sets, and lowercase letters a, b, x, y, y,..., to denote elements of sets. Membership in a set is denoted as follows: a ∈ S denotes that a belongs to a set S a, b ∈ S denotes that a and b belong to a set S Here ∈ is the symbol meaning “is an element of.”

Example 1 1. \mathbb Prime numbers {P} = {2, 3, 5, 7, 11, 13, 17, 19, 23, \dots} $

  1. Staff = Set of professors in a college

  2. in medicine we classify and group things like diseases based on anatomical it belongs to ,histological for pathology,etiology.

  3. ```mermaid

    graph TD subgraph Set A A1["Element 1"] A2["Element 2"] A3["Element 3"] end

    ```

Problem 1.1 define sets of dentition

\(\mathbb Primary dentition = \{41,42,43,44,45 \dots\}\)

\(\mathbb Permanent dentition = \{18,17,16,15,14,13,12,11,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48 \dots\}\)

Set operations

Example: Rock ,paper and scissors

problem 1 Find the type of tooth in 32 set of teeth

natural language method

mathematical method

computer method

Tooth Classification Widget

Tooth Classification

Enter a tooth number (11-48) to classify it:

Subset or if then or ->