sec02

dz / discrete_mathematics_notes / sec02

Summary

section 2

Node Tree

• sec_2_2
  • set
    • subset
      • subset_definition
    • cardinality
      • number_of_elements
    • collection_of_things
      • elements
        • things_in_set
    • disjoint
      • disjoint_definition
    • formalization_of_counting
    • important_sets
      • set_of
        • rational_numbers
        • real_numbers
        • integers
          • non-negative
          • positive
            • non-negative
      • empty
    • intersection
      • intersection_definition

Nodes

sec_2_2
content	2.2
children	set

set
content	set
children	subset, cardinality, collection_of_things (definition), disjoint, formalization_of_counting, important_sets, intersection
parents	sec_2_2

formalization_of_counting
content	Formalization for assertions that involve counting things
parents	set

collection_of_things
content	colletion of things
children	elements
parents	set

elements
content	elements
children	things_in_set (definition)
parents	collection_of_things

things_in_set
content	Things in the set
parents	elements

important_sets
content	important sets in math
children	set_of, empty
parents	set

set_of
content	Set of
children	rational_numbers, real_numbers, integers
parents	important_sets

real_numbers
content	Real Numbers
parents	set_of

rational_numbers
content	Rational Numbers
parents	set_of

empty
content	empty set
parents	important_sets

integers
content	integers
children	non-negative, positive
parents	set_of

positive
content	positive
children	non-negative (yes, there is a distinction (does non-negative include 0?))
parents	integers

non-negative
content	non-negative
parents	positive, integers

cardinality
content	Cardinality
children	number_of_elements (definition)
parents	set

number_of_elements
content	Number of elements in set
parents	cardinality

subset
content	subset
children	subset_definition (definition)
parents	set

subset_definition
content	A is said to be a subset of B if every element of A is also in B
parents	subset

intersection
content	Intersection
children	intersection_definition (definition)
parents	set

intersection_definition
content	An intersection of A and B is the set containing elements from both A and B.
parents	intersection

disjoint
content	Disjoint
children	disjoint_definition (definition)
parents	set

disjoint_definition
content	When intersection of two sets is empty, they are said to be disjoint
parents	disjoint