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  • John Rhodes
  • June 21, 2023
  • Discrete Math

Truth Tables: How To Determine The Number Of Rows Based On Boolean Variables

number of rows in a truth table 2^n, where n = number of variables The number of rows in a truth table depends on the number of...
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  • John Rhodes
  • June 21, 2023
  • Discrete Math

Mastering Logic: The Significance Of Contradictions In Critical Thinking

what is Contradiction? a statement form that is always false regardless of the truth values of the individual statements substituted for its statement variables ( p ^...
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  • John Rhodes
  • June 21, 2023
  • Discrete Math

The Logic Of Statement Equivalence: How To Prove Statements Are Equivalent.

when are two statements equivalent? two statements are called logically equivalent if, and only if, they have identical truth values for each possible substitution of statements for...
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  • John Rhodes
  • June 21, 2023
  • Discrete Math

Unpacking Tautologies: A Comprehensive Explanation With Examples From Logic And Mathematics

What is Tautology? a statement that is always true regardless of truth values of the individual statements Tautology refers to a statement or proposition in which the...
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  • John Rhodes
  • June 21, 2023
  • Discrete Math

Conditional Statements: Implications In Mathematics, Programming, And Philosophy

Conditional statements/implications p => qwhen p is false, then p => q is vacuously trueif p is true, q must be true Conditional statements/implications are logical statements...
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  • John Rhodes
  • June 21, 2023
  • Discrete Math

Converse Statement Of P => Q Explained: Implications In Math And Real-Life Scenarios

Converse of p => q q => p is the converse of p => qp => q does not follow q => p The converse of p...
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  • John Rhodes
  • June 21, 2023
  • Geometry

The Importance Of Perpendicular Bisectors In Geometry: Their Practical Applications And Equation

Perpendicular Bisector A line that is perpendicular to a segment at its midpoint. A perpendicular bisector is a line or a ray that intersects a given line...
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  • John Rhodes
  • June 21, 2023
  • Geometry

The Median: A Key Measure Of Central Tendency In Math And Statistics

Median connects vertex to midpoint of opposite side The median is a statistical measure of central tendency that represents the middle value of a set of ordered...
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