Karteikarten
Unit 1 Vocab
Karten in diesem Stapel (33)
- 1Geometric SequenceWhen the common ration between any two consecutive terms in a
number sequence is the same - 2Induction ReasoningA line of reasoning that arrives at a general conclusion based on the
observation of specific examples. (Can be a generalization) - 3Arithmetic SequenceWhen the common different between any two consecutive terms in a
number sequence is the same - 4Geometric SequenceWhen the common ration between any two consecutive terms in a
number sequence is the same - 5Deductive ReasoningA process that begins with commonly accepted facts and logically arrives at a specific conclusion
- 6SetA collection of objects made up of specified elements or members
- 7Roster MethodA way to describe a set by listing all elements in the set
- 8Equal SetsTwo sets are said to be equal if they contain exactly the same elements (If A and B are equal we Write 𝐴 = 𝐵 )
- 9Cardinal NumberThe number contained in a finite set (Denoted by | | )
- 10Equivalent SetsSets with the Same Cardinal Number(i.e. the Same number of elements) - (we denote by 𝐶 ∼ 𝐷 ; meaning C and D are Equivalent)
- 11Set - Builder NotationUsed to Describe a set when the members all share certain properties
- 12Empty SetA set that contains no elements, also called the null set (We denote by 𝐴 = ∅)
- 13Universal SetThe Set f all elements being considered any particular situation and is denoted by U
- 14ComplementThe Complement of A consists of all elements in a given universal set that are not contained in A. (we denote complements as A')
- 15Venn DiagramA way to visualize the relationships between sets
- 16SubsetIf A and B are sets, B is a subset of A If every element of B is also an element of A. (We write 𝐵 ⊆ A)
- 17Proper SubsetWhen We write 𝐵 ⊆ A and A contains at least one element that is not contained in B, B is said to be Proper subset of A and is written 𝐵 ⊂ 𝐴
- 18Number of Subsets and Proper of a SetIf the Cardinal Number of a Set is n Then There are (2^n) subsets and (2^n)-1 proper subsets contained in the set
- 19IntersectionSet of all elements common to both A and B. (𝐴 ∩ 𝐵 = {𝑥|𝑥 ∈ 𝐴 𝑎𝑛𝑑 𝑥 ∈ 𝐵})
- 20UnionThe Set of All elements in A or in B. (𝐴 ∪ B = {𝑥|𝑥 ∈ 𝐴 or 𝑥 ∈ 𝐵})
- 21DisjointThere are NO elements in set A that are also in set B. The Intersection of two such sets is the Null set or empty set. (𝐴 ∩ 𝐵 = ∅ when A and B are disjoint)
- 22De Morgan's LawLet A and B be sets. Then
(𝐴 ∪ 𝐵)′ = 𝐴′ ∩ 𝐵′ 𝑎𝑛𝑑 (𝐴 ∩ 𝐵)′ = 𝐴′ ∪ 𝐵
′ - 23Inclusion - Exclusion PrincipleThe number of elements in the union of two sets A and B is calculated by adding the number of elements in set A to the Number of elements in Set B, less the number of elements that appear in both sets.
|𝐴 ∪ 𝐵| = |𝐴| + |𝐵| − |𝐴 ∩ 𝐵| - 24Survey AnalysisThe analysis of responses to a list of questions
- 25StatementA complete sentence that asserts a claim that is either true or false, but not both at the same time
- 26ParadoxA sentence that contradicts itself and therefore has no single true value (No mathematical Statements)
- 27NegationThe Logical opposite of the original statemen (i.e. the denial); Always have the opposite truth values from the original statement
- 28Compound StatementComposed of two or more statements joined together using connective words such as {and, or, implies}
- 29Truth TableA table that has a Row for each possible combination of true values of the individual statements that make up the compound statement
- 30ConjuctionIf a and b are statements, hen "a or b" is a compound statement called conjunction. (Conjunction statements are true only when both statements are true otherwise they are false.)
- 31DisjunctionIf a and b are statements, then "a or b" is a compound statement called disjunction. (Disjunction statements will always be true unless both statements are false
- 32ConditionalIf a and b are statements, then "if a then b" is a compound statement called conditional. (Conditional statements will always be true unless a is true and b is false
- 33TautologyA statement that is true in all possible circumstances
Informationen
- Beschreibung
- Mathematics Karteikarten am Unit 1 Vocab, erstellt von McKinnley Williams am 08/01/2024.
- Erstellt von
- McKinnley Williams
- Aufrufe
- 1
- Bewertung