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Flashcards

Unit 1 Vocab

McKinnley Williams Mathematics English 33 cards

Cards in this deck (33)

  1. 1Geometric SequenceWhen the common ration between any two consecutive terms in a
    number sequence is the same
  2. 2Induction ReasoningA line of reasoning that arrives at a general conclusion based on the
    observation of specific examples. (Can be a generalization)
  3. 3Arithmetic SequenceWhen the common different between any two consecutive terms in a
    number sequence is the same
  4. 4Geometric SequenceWhen the common ration between any two consecutive terms in a
    number sequence is the same
  5. 5Deductive ReasoningA process that begins with commonly accepted facts and logically arrives at a specific conclusion
  6. 6SetA collection of objects made up of specified elements or members
  7. 7Roster MethodA way to describe a set by listing all elements in the set
  8. 8Equal SetsTwo sets are said to be equal if they contain exactly the same elements (If A and B are equal we Write 𝐴 = 𝐡 )
  9. 9Cardinal NumberThe number contained in a finite set (Denoted by | | )
  10. 10Equivalent SetsSets with the Same Cardinal Number(i.e. the Same number of elements) - (we denote by 𝐢 ∼ 𝐷 ; meaning C and D are Equivalent)
  11. 11Set - Builder NotationUsed to Describe a set when the members all share certain properties
  12. 12Empty SetA set that contains no elements, also called the null set (We denote by 𝐴 = βˆ…)
  13. 13Universal SetThe Set f all elements being considered any particular situation and is denoted by U
  14. 14ComplementThe Complement of A consists of all elements in a given universal set that are not contained in A. (we denote complements as A')
  15. 15Venn DiagramA way to visualize the relationships between sets
  16. 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 𝐡 βŠ† A)
  17. 17Proper SubsetWhen We write 𝐡 βŠ† 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 𝐡 βŠ‚ 𝐴
  18. 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
  19. 19IntersectionSet of all elements common to both A and B. (𝐴 ∩ 𝐡 = {π‘₯|π‘₯ ∈ 𝐴 π‘Žπ‘›π‘‘ π‘₯ ∈ 𝐡})
  20. 20UnionThe Set of All elements in A or in B. (𝐴 βˆͺ B = {π‘₯|π‘₯ ∈ 𝐴 or π‘₯ ∈ 𝐡})
  21. 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 ∩ 𝐡 = βˆ… when A and B are disjoint)
  22. 22De Morgan's LawLet A and B be sets. Then
    (𝐴 βˆͺ 𝐡)β€² = 𝐴′ ∩ 𝐡′ π‘Žπ‘›π‘‘ (𝐴 ∩ 𝐡)β€² = 𝐴′ βˆͺ 𝐡
    β€²
  23. 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 βˆͺ 𝐡| = |𝐴| + |𝐡| βˆ’ |𝐴 ∩ 𝐡|
  24. 24Survey AnalysisThe analysis of responses to a list of questions
  25. 25StatementA complete sentence that asserts a claim that is either true or false, but not both at the same time
  26. 26ParadoxA sentence that contradicts itself and therefore has no single true value (No mathematical Statements)
  27. 27NegationThe Logical opposite of the original statemen (i.e. the denial); Always have the opposite truth values from the original statement
  28. 28Compound StatementComposed of two or more statements joined together using connective words such as {and, or, implies}
  29. 29Truth TableA table that has a Row for each possible combination of true values of the individual statements that make up the compound statement
  30. 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.)
  31. 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
  32. 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
  33. 33TautologyA statement that is true in all possible circumstances

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Mathematics Flashcards on Unit 1 Vocab, created by McKinnley Williams on 08/01/2024.
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