Math tools — Page 3
150 focused tools, ready to use in your browser.
Confusion Matrix Metrics Calculator
Calculate explicitly oriented binary or multiclass prediction metrics from a whole-count confusion table.
MathFinite Markov Transition Calculator
Propagate an entered finite probability distribution through a bounded row-stochastic transition matrix.
MathFair Dice Sum Probability Calculator
Compute exact outcome counts and a downloadable sum distribution for bounded fair independent dice.
MathNormal Q-Q Plot Workbench
Plot ordered observations against normal quantiles and export positions, reference values and residuals.
MathBounded Zero-one Selection Workbench
Choose a maximum-value subset under one integer capacity and inspect every selected item and exact total.
MathSmall Cost-Matrix Tour Workbench
Find a shortest complete round trip through every supplied cost-matrix vertex and verify the edge sum.
MathMaximum Flow and Minimum Cut Workbench
Compute an exact capacity-constrained flow and inspect conservation plus an equal-capacity minimum-cut witness.
MathBounded Two-variable Linear Program Workbench
Optimize a numeric two-variable linear objective within an explicit box and inspect exact feasible vertices.
MathWeighted Isotonic Regression Workbench
Fit the nearest monotone sequence under exact positive weights and inspect merged blocks and a checked residual certificate.
MathNonuniform Tabulated Gradient Workbench
Differentiate supplied x/y samples with exact nonuniform three-point interior stencils and explicit endpoint conventions.
MathKaplan-Meier Lifetime Workbench
Build an exact product-limit survival table from event and right-censored equipment or teaching data with transparent risk sets.
MathIndependent Reliability Block Workbench
Evaluate an explicit series/parallel component tree at one common mission time and export exact group-by-group probabilities.
MathRolling Origin Forecast Backtesting
Evaluate one-step benchmark forecasts against held-out observations with explicit rolling training prefixes and no future-row fitting.
MathIndividuals Process Control Workbench
Calculate an individuals chart from a declared baseline or supplied target and flag exact three-sigma limit crossings.
MathWithin and Overall Process Capability
Compare specification width with pooled within-subgroup and overall sample variation while keeping the two estimates distinct.
MathUncorrelated Measurement Uncertainty Budget
Build a transparent first-order uncertainty budget with standard or bounded-distribution components and an entered coverage factor.
MathWGS 84 ECEF and Local ENU Workbench
Convert supplied geodetic coordinates to ellipsoid-based Cartesian coordinates and a declared local east-north-up frame.
MathSampled Signal Spectrum Workbench
Inspect a bounded real-sample DFT with explicit window gain, single-sided amplitude, phase threshold and a Parseval energy check.
MathDigital Biquad Filter Workbench
Calculate normalized low-pass, high-pass or notch coefficients, inspect requested frequency responses and filter a short zero-state sequence.
MathBounded Principal Component Workbench
Inspect a small numeric matrix through centered covariance or standardized PCA with eigenpair and orthogonality witnesses.
MathMultiple Linear Least Squares Workbench
Fit a small multiple-predictor model with an intercept, stable centered residuals and transparent rank/orthogonality checks.
MathDeterministic Numeric K-means Workbench
Cluster a small numeric matrix with deterministic seeds, explicit scaling and a checked nonincreasing squared-distance objective.
MathUncensored Weibull Lifetime Fit
Fit a zero-location two-parameter Weibull model to uncensored positive lifetimes with a bounded likelihood-root witness.
MathStudent t Mean Comparison Workbench
Compare a sample mean, paired differences or independent Welch means with explicit t-model uncertainty.
MathOne-way ANOVA Decomposition
Compare independent group means while retaining exact within/between sums of squares and an explicit F model.
MathExact Small-sample Rank Inference
Build conditional rank-sum or paired signed-rank distributions with exact tied midranks and explicit inclusive tails.
MathExhaustive Mean Permutation Comparison
Enumerate every small fixed-group label assignment and count exact inclusive mean-difference tails.
MathTwo-sample ECDF and Exact KS Review
Compare two empirical distribution steps and count the exact continuous-null two-sided KS tail for small untied samples.
MathObserved Probability Calibration Review
Audit supplied binary probabilities through exact Brier score, calibration bins, AUC and explicit zero-probability log penalties.
MathTwo-rater Agreement and Kappa Review
Separate observed agreement from marginal-chance agreement with exact unweighted or ordinal weighted Cohen kappa.
MathCommon-mix Stratified Rate Comparison
Compare two observed success rates after applying one explicit common stratum mix, retaining crude and standardized results.
MathMinimum Spanning Forest Workbench
Connect every reachable undirected component at minimum total edge weight while preserving isolated nodes and source-edge provenance.
MathDirected Graph Component and Condensation Review
Identify mutual-reachability components and return their acyclic dependency condensation with a checked topological order.
MathExact Weighted Voting Power Review
Enumerate winning coalitions and distinguish vote weights from exact Banzhaf and Shapley–Shubik pivotal power.
MathPrime-field Linear System Workbench
Solve a rectangular modular system and preserve inconsistent, unique and affine-family outcomes with exact solution witnesses.
MathExact Polynomial GCD and Square-free Review
Find a monic rational polynomial common factor or remove repeated factors through exact derivative and Euclidean division.
MathExact Convex Polygon Intersection
Intersect two strictly convex coordinate polygons and retain exact rational vertices, area and degenerate contact states.
MathPlanar Polyline Station and Projection Workbench
Locate supplied distances along an ordered planar route or project points onto its nearest finite segment.
MathExact Rectangle Union and Coverage Depth
Measure total covered area and overlap-depth areas from bounded axis-aligned rectangle layouts.
MathDeclared Reaction Stoichiometry Planner
Find exact limiting-reactant extent, theoretical excess and recoverable product mass from a declared reaction model.
MathIdeal Gas Mixture Composition Workbench
Reconcile mass or mole amounts into exact mixture fractions, Dalton partial pressures and an approximate SI ideal volume.
MathIdeal Two-stream Heat Exchanger Balance
Close a constant-capacity two-stream energy balance and inspect terminal approaches, stable LMTD and ideal UA.
MathLeave-one-out Statistic Influence
Inspect every deleted-observation estimate, exact changes and a declared jackknife summary for mean or sample variance.
MathHierarchical Dissimilarity Clustering
Build exact single, complete or average-linkage merges and a chosen cluster cut from your dissimilarity matrix.
MathExact Binary Runs Test
Count an exact fixed-class-size runs distribution and explicit inclusive tails for a supplied binary sequence.
MathStructured Dimensional Equation Auditor
Check every term of a structured SI equation for dimensional homogeneity without executing an expression.
MathSimply Supported Beam Load Balance
Compute exact reactions, left/right shear and moment extrema for a declared simply supported span with point and partial uniform loads.
MathSingle-transition Enthalpy Balance
Track a supplied solid/liquid batch through sensible heating, partial transition and cooling with exact energy conservation.