Explicit Set Definition/Examples

Examples of Explicit Set Definition

Some examples of explicit set definition are:

Example 1

$A := \set {\dfrac 1 2, 1, \sqrt 2, e, \pi}$

Example 2

$B := \set {\textrm {Romeo}, \textrm {Juliet} }$

Example 3

$S := \set {\textrm {Tom, Dick, Harry} }$

Example 4

$T := \set {1, 2, 3, 4}$

Example 5

$V = \set {\textrm {red}, \textrm {orange}, \textrm {yellow}, \textrm {green}, \textrm {blue}, \textrm {indigo}, \textrm {violet} }$

Example 6

$W := \set {a, b, c}$

which can also be written as:

$W := \set {b, a, c}$

or:

$W := \set {c, b, a}$

or even as:

$W := \set {a, a, b, c, a, c, c, b, a}$

Example 7

$U := \set {u_1, u_2, u_3}$

Example 8

$A := \set {12, \text q, \$, \text {Empire State Building}, 9, \text {King Arthur} }$

Example 9

$S := \set {1, 2, 4, 8}$

Example 10

$S := \set {\text {Conn.}, \text {Minn.}, \text {N.J.} }$

Example 11

$S := \set {\O, \set 1, \set 2, \set {1, 2} }$