Reflexive Symmetric and Transitive Relations on a Set
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A relation from a set A to itself can be though of as a directed graph. We look at three types of such relations: reflexive, symmetric, and transitive. • A relation is reflexive if every element relates to itself, that is has a little look from itself to itself. • A relation is symmetric if whenever x relates to y, then y relates to x. This looks like every path between x and y has a path back. • A relation is transitive if whenever xRy and yRz, then xRz (this shorthands is read x relates to y and so on). This looks like every two step path has a corresponding 1 step path. • ►FULL DISCRETE MATH PLAYLIST: • Discrete Math (Full Course: Sets, Log... • BECOME A MEMBER: • ►Join: / @drtrefor • MATH BOOKS I LOVE (affilliate link): • ► https://www.amazon.com/shop/treforbazett • COURSE PLAYLISTS: • ►DISCRETE MATH: • Discrete Math (Full Course: Sets, Log... • ►LINEAR ALGEBRA: • Linear Algebra (Full Course) • ►CALCULUS I: • Calculus I (Limits, Derivative, Integ... • ► CALCULUS II: • Calculus II (Integration Methods, Ser... • ►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivariable Calculus ... • ►VECTOR CALCULUS (Calc IV) • Calculus IV: Vector Calculus (Line In... • ►DIFFERENTIAL EQUATIONS: • Ordinary Differential Equations (ODEs) • ►LAPLACE TRANSFORM: • Laplace Transforms and Solving ODEs • ►GAME THEORY: • Game Theory • OTHER PLAYLISTS: • ► Learning Math Series • • 5 Tips To Make Math Practice Problems... • ►Cool Math Series: • • Cool Math Series • SOCIALS: • ►X/Twitter: http://X.com/treforbazett • ►TikTok: / drtrefor • ►Instagram (photography based): / treforphotography
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