All Math Department Calculator Related Post

    Equivalence Relation Checker Enter Relation as Ordered Pairs (one per line) Enter Set Elements (comma-separated) Check Equivalence Relation About the Equivalence Relation Checker The Equivalence Relation Checker is the world’s most powerful browser-based tool for verifying whether a binary relation is reflexive, symmetric, and transitive — the three defining properties of an equivalence […]

    Antisymmetric Relation Checker Enter Relation as Ordered Pairs (one per line) Enter Set Elements (comma-separated) Check Antisymmetry About the Antisymmetric Relation Checker The Antisymmetric Relation Checker is the world’s most accurate browser-based tool for verifying antisymmetry of binary relations. It instantly analyzes ordered pairs using peer-reviewed set theory (Halmos, 1960) and reveals whether

    Transitive Relation Checker Enter Relation as Ordered Pairs (one per line) Enter Set Elements (comma-separated) Check Transitivity About the Transitive Relation Checker The Transitive Relation Checker is the world’s most powerful browser-based tool for verifying transitivity of binary relations. It uses the peer-reviewed Warshall’s algorithm (1962) to compute the transitive closure in O(n³)

    Symmetric Relation Checker Enter Relation as Ordered Pairs (one per line) Enter Set Elements (comma-separated) Check Symmetry About the Symmetric Relation Checker The Symmetric Relation Checker is the world’s fastest and most accurate browser tool for verifying symmetry, reflexivity, and transitivity of binary relations. It instantly analyzes ordered pairs using peer-reviewed set theory

    Reflexive Relation Checker Relation (one pair per line: a b): a a<br /> b b<br /> c c<br /> a b<br /> b c Quick Presets: Custom InputFully Reflexive (Yes)Missing Diagonal (No)Equivalence RelationPartial OrderStrict Order (Irreflexive) Check Reflexivity Clear Relation Download Matrix Download CSV Uses formal definition: ∀x ∈ A, (x,x) ∈ R.

    Binary Relation Properties Checker Relation (one pair per line: a b): 1 1<br /> 1 2<br /> 2 2<br /> 2 3<br /> 3 3 Quick Presets: Custom InputEquivalence (Congruence mod 3)Partial Order (Divisibility)Strict Order (<)Reflexive OnlySymmetric Only Check Properties Clear Relation Download Matrix Download CSV * Uses formal set theory definitions. Checks

    Topological Sort Calculator Directed Edges (one per line: from → to): 0 → 1<br /> 0 → 2<br /> 1 → 3<br /> 2 → 3<br /> 3 → 4 Quick Presets: Custom InputCourse PrerequisitesBuild SystemProject TasksData PipelineRandom DAG Calculate Topological Sort Clear Graph Download PNG Download CSV Animate Sort * Uses Kahn’s

    Euler Characteristic Calculator Vertices (V): Edges (E): Faces (F): Calculate Euler Characteristic Load Preset Cube Tetrahedron Dodecahedron Torus Sphere Planar Graph * Uses Euler’s formula: χ = V − E + F. Valid for connected planar graphs and polyhedra. About the Euler Characteristic Calculator The Euler Characteristic Calculator is a mathematically rigorous topology

    Closeness Centrality Calculator Adjacency List (one edge per line): 0 1<br /> 0 2<br /> 1 2<br /> 1 3<br /> 2 3<br /> 3 4 Quick Presets: Custom InputStar NetworkComplete Graph K6Cycle Graph C8Path Graph P10Random ER Graph Calculate Closeness Clear Graph Download PNG Download CSV Show Farness * Uses BFS from

    Betweenness Centrality Calculator Adjacency List (one edge per line): 0 1<br /> 0 2<br /> 1 3<br /> 2 3<br /> 3 4<br /> 4 5 Quick Presets: Custom InputBridge NetworkStar with Bridge4×4 GridRandom ER GraphZachary’s Karate Club Calculate Betweenness Clear Graph Download PNG Download CSV Highlight Bridges * Uses Brandes’ O(VE) algorithm