Advanced Math Operations
Adjacency Matrix Calculator - Convert between adjacency matrix, edge list, and adjacency list. Auto-detects directed/undirected graphs, computes degree sequence, density, connected components, and matrix powers — with an interactive SVG graph visualization. New
Antilog Calculator - Calculate the antilogarithm (antilog) of any number with any base. Features step-by-step calculation, interactive visualization, base comparison chart, and comprehensive explanations of logarithmic functions.
Beta Function Calculator - Calculate the beta function B(x, y) with step-by-step calculations, gamma function relationship, interactive visualization, and detailed mathematical explanations.
Binomial Coefficient Calculator - Calculate binomial coefficients C(n, k) with step-by-step solutions, Pascal's triangle visualization, and real-world probability applications.
Binomial Probability Distribution Calculator - Calculate binomial probabilities P(X=k), cumulative probabilities P(X≤k), P(X≥k), with interactive PMF/CDF charts, step-by-step solutions, and complete distribution tables.
Bitwise Calculator - Perform bitwise operations (AND, OR, XOR, NOT) and bit shift operations on integers with interactive visual bit diagrams showing each bit position. Popular
Boolean Algebra Simplifier - Simplify Boolean expressions with algebraic laws, Quine-McCluskey and Karnaugh maps. Enter any AND, OR, NOT, XOR, NAND or NOR expression to get the minimal SOP/POS form, truth table, K-map, gate diagram and NAND-only equivalents. New
Central Limit Theorem Calculator - Calculate probabilities using the Central Limit Theorem (CLT) with interactive visualizations, step-by-step solutions, and Z-score calculations for sample means.
Chinese Remainder Theorem Calculator - Solve systems of simultaneous congruences with the Chinese Remainder Theorem. Find the smallest x satisfying several modular equations, with an Extended Euclidean Algorithm breakdown, a number-line visual and verification.
Combination Calculator - Calculate combinations C(n,k) with step-by-step solutions, Pascal's Triangle visualization, interactive diagrams, and detailed formula breakdowns for combinatorics problems.
Complementary Error Function Calculator - Calculate the complementary error function erfc(x) with interactive visualization, step-by-step solution, and comprehensive erfc table for values from -3 to 3.
Complex Number Calculator - Perform operations with complex numbers: add, subtract, multiply, divide, convert forms, calculate modulus, argument, conjugate, powers and roots with detailed step-by-step solutions and interactive complex plane visualization.
Continued Fraction Calculator - Convert any decimal, fraction, or square root to its continued fraction representation with convergents, step-by-step Euclidean algorithm, and interactive visualization.
Derangement (Subfactorial) Calculator - Calculate the number of derangements (subfactorial !n) of n elements, where nothing stays in its original position. Includes a step-by-step inclusion-exclusion formula, a visualization, a derangement table and probability analysis.
Dijkstra's Shortest Path Calculator - Find the shortest path between nodes in a weighted graph using Dijkstra's algorithm. Features interactive graph visualization, step-by-step priority queue trace, and shortest path tree display.
Entropy Calculator - Calculate Shannon entropy of probability distributions with step-by-step formulas, interactive visualizations, entropy classification, and educational insights for information theory analysis.
Error Function Calculator - Calculate the error function erf(x), complementary error function erfc(x), and inverse error function with interactive Gaussian curve visualization, step-by-step explanations, and comprehensive analysis for statistics and probability.
Euler's Totient Function Calculator - Calculate Euler's totient function φ(n) with step-by-step prime factorization, interactive coprime number grid, and detailed analysis. Essential for RSA cryptography, modular arithmetic, and number theory.
Exponential Decay Calculator - Calculate exponential decay with interactive visualizations, half-life computation, decay constant, and step-by-step solutions. Solve for initial amount, final amount, decay rate, or time.
Exponential Growth Calculator - Calculate exponential growth and decay with step-by-step solutions, interactive growth curve visualization, and high-precision results for population, investment, and scientific modeling.
Exponential Integral Calculator - Calculate the exponential integral Ei(x) with high precision, interactive visualization, and detailed step-by-step mathematical derivation.
Exponents Calculator - Calculate exponents (powers) with high precision. Supports fractional exponents, negative exponents, and provides detailed step-by-step solutions with visual explanations and exponent rule demonstrations.
Extended Euclidean Algorithm Calculator - Calculate the GCD of two integers and find Bézout coefficients using the Extended Euclidean Algorithm, with step-by-step table, back-substitution, and modular inverse.
Factorial Calculator - Calculate the factorial of any non-negative integer (n!) with step-by-step expansion, scientific notation for large numbers, digit count analysis, and factorial growth visualization. Supports values up to 1 million.
Gamma Function Calculator - Calculate the Gamma function with step-by-step solutions, interactive graphs, and factorial comparison tables. Supports both positive and negative real numbers.
Golden Ratio Calculator - Calculate golden ratio proportions from any number. Generate phi-based sequences, find complementary segments, golden rectangle dimensions, and explore the divine proportion with step-by-step calculations and visualizations.
Graph Coloring Calculator - Find the chromatic number and a valid vertex colouring for any undirected graph. Enter edges or an adjacency list to get the minimum number of colours, a colour assignment, an animated DSATUR walkthrough and a graph visualization. New
Graph Degree Sequence Validator - Use the Havel-Hakimi algorithm to determine if a given sequence of numbers can form a simple, undirected graph. Features animated step-by-step visualization, adjacency matrix, and a sample graph rendering.
Group Theory Order Calculator - Compute the order of every element in a finite group, check whether it is abelian or cyclic, render the Cayley table as a colour-coded heatmap, and view the subgroup lattice as a Hasse diagram. Covers cyclic, dihedral and symmetric groups. New
Half Life Calculator - Calculate half-life, initial quantity, remaining quantity, or elapsed time in exponential decay with interactive decay curve visualization, step-by-step formulas, and preset isotope values.
Hamiltonian Path Checker - Check whether a graph contains a Hamiltonian path or cycle. Runs backtracking with Warnsdorff pruning, verifies connectivity and degree prerequisites, tests the Dirac and Ore conditions, and shows the witness path on an SVG diagram. New
Inclusion-Exclusion Calculator - Compute the size of a union of up to five sets with the inclusion-exclusion principle. Enter raw elements or the cardinality of every intersection to get the signed expansion, a live Venn diagram and every disjoint region's size. New
Karnaugh Map (K-Map) Solver - Minimize Boolean functions with Karnaugh maps. Enter minterms, maxterms or toggle a truth table to get the simplified sum-of-products or product-of-sums expression, colour-coded groupings, prime implicants and worked steps. New
Linear Programming Solver - Solve linear programming problems with the simplex method. Supports maximize or minimize objectives, mixed constraints and up to eight decision variables, and for two-variable problems plots the feasible region with the optimum marked. New
Markov Chain Steady State Calculator - Calculate the steady-state (stationary) distribution of a Markov chain from its transition matrix. Includes interactive state diagram, convergence visualization, step-by-step solution, and power iteration analysis.
Minimum Spanning Tree Calculator - Calculate the Minimum Spanning Tree (MST) of a weighted graph using Kruskal's or Prim's algorithm. Features interactive graph visualization, step-by-step algorithm trace, and edge selection animation.
Modular Exponentiation Calculator - Calculate a^b mod n efficiently with the binary exponentiation algorithm. Enter the base, exponent and modulus for the result plus a step-by-step square-and-multiply breakdown, a binary decomposition visual and cryptographic context. New
Modular Multiplicative Inverse Calculator - Calculate the modular multiplicative inverse of an integer a under modulo m using the Extended Euclidean Algorithm, with step-by-step table, verification, and clock visualization.
Negative Binomial Distribution Calculator - Calculate negative binomial probabilities for the number of trials or failures needed to reach a target number of successes. Get the exact PMF and CDF, step-by-step solutions, interactive charts and trial sequence visualizations. New
Network Flow Calculator (Max Flow) - Compute the maximum flow from source to sink in a capacitated directed network using Ford-Fulkerson with Edmonds-Karp. Animates every augmenting path and shows residual capacities, saturated edges and the proving min-cut. New
Percent Growth Rate Calculator - Calculate percent growth rate with multiple methods: simple growth, compound annual growth rate (CAGR), and average growth rate. Features interactive visualizations, year-by-year analysis, and detailed step-by-step calculations. Popular
Permutation Calculator - Calculate permutations P(n,r) with step-by-step solutions, visual explanations, formula breakdown, and practical examples. Find how many ways to arrange r items from n total items where order matters.
Permutations with Repetition Calculator - Calculate permutations with repetition - ordered arrangements with replacement - using n^r. Enter the number of items and positions for the result, worked steps, slot-machine visuals and examples from passwords, PINs and licence plates. New
Pigeonhole Principle Calculator - Calculate the minimum number of items guaranteed to share a container using the pigeonhole principle. Includes interactive visualization, step-by-step proof, generalized analysis, and real-world examples.
Planar Graph Checker - Check whether a graph is planar - drawable without edge crossings - using Kuratowski's theorem. Detects K5 and K3,3 subdivisions, verifies Euler's inequality, and highlights the forbidden minor when the graph is non-planar. New
Poisson Distribution Calculator - Calculate Poisson probabilities P(X=k), cumulative probabilities, and visualize PMF/CDF distributions with detailed step-by-step solutions.
Polynomial Roots Calculator - Calculate the roots of polynomial equations up to degree 4 with detailed step-by-step solutions, interactive graph visualization, and root analysis. Supports linear, quadratic, cubic, and quartic equations.
Primitive Root Calculator - Find all primitive roots of a modulus n - the generators of the multiplicative group. Enter any positive integer to get the primitive roots, Euler's totient, a cyclic group visualization and a step-by-step check with power tables.
Probability Calculator - Calculate probabilities of events using addition rule, conditional probability, and Bayes' theorem with interactive Venn diagrams and step-by-step solutions.
Probability Distribution Calculator - Calculate probabilities, cumulative distributions (CDF), and quantiles for Normal, Binomial, Poisson, Exponential, Uniform, Chi-Square, and Student's t distributions with step-by-step solutions and interactive visualizations.
Proportion Calculator - Solve any proportion a/b = c/d for the missing value with cross multiplication, clear step-by-step solutions, and a visual diagram. Free, instant, and accurate. Popular
Quadratic Formula Calculator - Solve quadratic equations using the quadratic formula with step-by-step solutions, discriminant analysis, vertex form conversion, and interactive parabola visualization.
Ring and Field Calculator - Compute addition, subtraction, multiplication, division, inverses and powers in modular rings and Galois finite fields. Visualise Cayley tables, classify units, zero divisors, nilpotents and idempotents, and inspect the group structure. New
Rounding Calculator - Round numbers to decimal places, significant figures, or nearest value. Compare 6 rounding methods side by side with visual number line and step-by-step explanations. New
Scientific Calculator - A full-featured online scientific calculator with trigonometric, logarithmic, exponential, factorial, and other advanced mathematical functions. Supports degree and radian modes, memory functions, calculation history, and keyboard input.
Scientific Notation Calculator - Convert numbers to scientific notation, perform arithmetic operations (+, -, ×, ÷), compare values, and visualize results with step-by-step explanations and interactive diagrams. Popular
Set Theory Calculator - Perform set operations including Union (A ∪ B), Intersection (A ∩ B), Difference (A − B), Symmetric Difference (A ∆ B), Cartesian Product (A × B), Power Set, and Complement. Visualize with interactive Venn diagrams.
Significant Figures Calculator - Round numbers to significant figures, count sig figs with digit-by-digit analysis, and perform arithmetic with proper significant figure rules. New
Stable Marriage Problem Solver - Solve the stable marriage problem with the Gale-Shapley algorithm. Paste ranked preference lists for two equal groups to get the guaranteed-stable pairing, with a proposal-by-proposal trace and blocking-pair verification. New
Stirling Numbers Calculator - Calculate Stirling numbers of the first kind (permutations into cycles) and second kind (set partitions into non-empty subsets). Includes an interactive triangle, a step-by-step recurrence derivation and full triangle tables.
Sum of Cubes Calculator - Calculate the sum of consecutive cubes from n₁³ to n₂³ with step-by-step formula breakdown, visual cube representation, and mathematical analysis. Perfect for algebra, calculus, and number theory studies.
Sum of Positive Integers Calculator - Calculate the sum of consecutive positive integers using the elegant Gauss summation formula. Features step-by-step calculation breakdown, visual pairing diagrams, and educational insights into arithmetic sequences. Popular
Sum of Squares Calculator - Calculate the sum of consecutive square numbers (1² + 2² + ... + n²) with step-by-step formulas, interactive charts, and visual geometric representations.
Topological Sort Calculator - Compute a topological ordering of a directed acyclic graph with Kahn's algorithm or DFS. Detects cycles and reports the cycle path, builds a parallel-execution layer view, and animates each step on an interactive graph. New
Traveling Salesman Solver (TSP) - Find the shortest tour that visits every city once and returns to the start. Uses exact Held-Karp dynamic programming for small instances and nearest-neighbour with 2-opt for larger ones, from coordinates or a distance matrix. New
Truth Table Generator - Generate truth tables for any boolean logic expression. Supports AND, OR, NOT, XOR, NAND, NOR, XNOR, and conditional operators. Visualize logic gates with animated evaluation.
Venn Diagram Generator (3 Sets) - Generate interactive Venn diagrams for three sets. Enter set elements or region values, customize colors, and download as PNG or SVG. Visualize unions, intersections, and differences instantly.
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