Mathematics

Calculators for mathematical problems.

2D Linear Programming Calculator

Maximize a two-variable objective under two resource constraints and inspect the binding corner.

2D Principal Component Calculator

Analyze a two-variable covariance matrix with PCA variance, explained variance, principal angle, correlation, and Mahalanobis distance.

2x2 Eigenvalue Calculator

2x2 Eigenvalue Calculator analyzes a 2x2 matrix with determinant, trace, eigenvalue, and conditioning metrics.

2x2 Matrix Condition Calculator

2x2 Matrix Condition Calculator analyzes a 2x2 matrix with determinant, trace, eigenvalue, and conditioning metrics.

2x2 Matrix Inverse Calculator

Calculate determinant and inverse entries for a 2x2 matrix.

3x3 Matrix Determinant Calculator

Calculate determinant, trace, row norm, and invertibility indicator for a 3x3 matrix.

Bayes' Theorem Calculator

Update a prior probability using sensitivity and false-positive rate.

Bayesian A/B Test Calculator

Compare two conversion rates with beta priors, posterior means, lift, and an approximate z-score for the difference.

Bayesian Update Calculator

Bayesian Update Calculator combines probability, sample size, observed events, and finite-population adjustment.

Bezier Curve Point Calculator

Bezier Curve Point Calculator combines circular, triangular, and radius-based geometry into one compact result set.

Binomial Probability Calculator

Calculate exact and cumulative binomial probabilities for repeated independent trials.

Chi-Square Test Calculator

Chi-Square Test Calculator estimates standardized distance, uncertainty, and confidence range from sample assumptions.

Circle Calculator

Calculate diameter, circumference, and area from a circle radius.

Complex Number Operations Calculator

Add and multiply two complex numbers, then calculate product magnitude.

Complex Polar Power Calculator

Convert a complex number to polar form and apply De Moivre's theorem for an integer-like power.

Confidence Band Calculator

Confidence Band Calculator estimates standardized distance, uncertainty, and confidence range from sample assumptions.

Confidence Interval Calculator

Build a normal-approximation confidence interval from mean, standard deviation, sample size, and z value.

Cubic Discriminant Calculator

Cubic Discriminant Calculator uses iterative numerical reasoning to estimate a root and residual diagnostics.

Cubic Root Shape Calculator

Analyze a cubic polynomial using discriminant, derivative discriminant, inflection point, and value at the inflection point.

Cylinder Volume Calculator

Calculate cylinder volume and surface area from radius and height.

Decimal to Percent Calculator

Convert decimal values into percentages and basis points.

Distance Between Points Calculator

Calculate the straight-line distance and coordinate differences between two 2D points.

Ellipse Calculator

Calculate ellipse area, approximate perimeter, and eccentricity from semi-major and semi-minor axes.

Exponent Calculator

Raise a base number to a power and view the reciprocal power.

Exponential Growth Fit Calculator

Fit an exponential rate from start and end values, then forecast a later value and estimate doubling time.

Factorial Calculator

Calculate n factorial and see how many ordered arrangements exist for n items.

Finite Difference Derivative Calculator

Estimate first and second derivatives from three sampled points and produce a local linear estimate.

Fourier Harmonic Estimator

Evaluate one harmonic of a Fourier-style signal, including amplitude, frequency, phase, and sample value.

Fraction Simplifier

Reduce a fraction to lowest terms and show its decimal value.

Fraction to Decimal Calculator

Convert a fraction to decimal and percentage form.

GCD and LCM Calculator

Find the greatest common divisor and least common multiple of two whole numbers.

Golden Section Search Calculator

Golden Section Search Calculator uses iterative numerical reasoning to estimate a root and residual diagnostics.

Hypergeometric Distribution Calculator

Hypergeometric Distribution Calculator combines probability, sample size, observed events, and finite-population adjustment.

Least Squares Line Calculator

Least Squares Line Calculator estimates standardized distance, uncertainty, and confidence range from sample assumptions.

Linear Interpolation Calculator

Estimate a value between two known points using linear interpolation.

Linear Transform Analyzer

Linear Transform Analyzer analyzes a 2x2 matrix with determinant, trace, eigenvalue, and conditioning metrics.

Logarithm Calculator

Calculate logarithms in any positive base plus natural and common logarithms.

Logistic Growth Calculator

Model bounded growth with carrying capacity, initial value, growth rate, and time.

Matrix Calculator

Perform matrix operations: addition, subtraction, multiplication, determinant, rank, inverse, eigenvalues, and eigenvectors.

Mean, Median, Mode

Calculate the mean, median, mode, and other statistical measures from a dataset.

Midpoint Calculator

Find the midpoint and coordinate changes between two points in a plane.

Monte Carlo Error Calculator

Monte Carlo Error Calculator estimates standardized distance, uncertainty, and confidence range from sample assumptions.

Newton Iteration Step Calculator

Compute the next Newton-Raphson estimate, step size, residual ratio, and tolerance gap from a current point.

Newton Method Calculator

Newton Method Calculator uses iterative numerical reasoning to estimate a root and residual diagnostics.

Normal Approximation to Binomial Calculator

Approximate binomial tail probabilities with mean, standard deviation, z-scores, and continuity correction.

Normal Distribution Calculator

Normal Distribution Calculator combines probability, sample size, observed events, and finite-population adjustment.

Percentage Calculator

Pick the question you need, type two numbers, and get a clear percentage, increase, decrease, or change card.

Permutation and Combination Calculator

Calculate permutations, combinations, and arrangements with repetition for n and r.

Point-to-Plane Distance Calculator

Calculate signed distance from a 3D point to a plane and the nearest projected point on that plane.

Poisson Distribution Calculator

Poisson Distribution Calculator combines probability, sample size, observed events, and finite-population adjustment.

Polynomial Root Bound Calculator

Polynomial Root Bound Calculator uses iterative numerical reasoning to estimate a root and residual diagnostics.

Prime Factorization Calculator

Break an integer into prime factors and see divisors, largest prime factor, GCD, LCM, radical, and Euler totient.

Pythagorean Theorem Calculator

Calculate the hypotenuse, area, and perimeter of a right triangle from its legs.

Quadratic Equation Solver

Solve quadratic equations ax² + bx + c = 0 and get roots, discriminant, and vertex coordinates.

Quadratic Features Calculator

Find vertex, discriminant, and real-root estimates for a quadratic expression.

Quadratic Form Classifier

Quadratic Form Classifier analyzes a 2x2 matrix with determinant, trace, eigenvalue, and conditioning metrics.

Ratio Simplifier

Simplify two whole numbers into their lowest ratio and decimal equivalent.

Rectangle Area Calculator

Calculate rectangle area, perimeter, and diagonal from length and width.

Sample Size for Proportion Calculator

Estimate required sample size for a population proportion with confidence z-score, margin of error, expected proportion, and finite population correction.

Scientific Notation Calculator

Convert a number into scientific notation components.

Sector + Triangle Area Calculator

Sector + Triangle Area Calculator combines circular, triangular, and radius-based geometry into one compact result set.

Sequence Sum Calculator

Calculate arithmetic and geometric nth terms and sums from shared starting values.

Simpson's Rule Integration Calculator

Approximate area under a curve using Simpson's rule and compare it with a trapezoid estimate from the same three points.

Slope and Intercept Calculator

Find rise, run, slope, y-intercept, and line angle from two points.

Spherical Distance Calculator

Spherical Distance Calculator combines circular, triangular, and radius-based geometry into one compact result set.

Square Root Calculator

Calculate square root, cube root, and squared value.

Standard Deviation Calculator

Calculate mean, standard deviation, and variance from a set of numbers.

System of Linear Equations Solver

Solve 2x2 and 3x3 systems of linear equations using Gaussian elimination. Get exact solutions, detect inconsistencies, and find infinite solution sets.

Three-Point Lagrange Interpolation Calculator

Interpolate a value from three points and inspect basis weights, slope, and curvature.

Triangle Area Calculator

Calculate triangle area from base and height.

Triangle Incenter Calculator

Triangle Incenter Calculator combines circular, triangular, and radius-based geometry into one compact result set.

Triangle Side, Angle & Area Calculator

Solve every side, angle, area, and radius of a general triangle by entering the three measurements you already know.

Two-Point Linear Predictor

Create a line from two points and predict y for a chosen x value.

Two-State Markov Chain Calculator

Project a two-state Markov chain and compare the result with the steady-state distribution after a chosen number of steps.

Vector Calculator – Dot, Cross & Projections

Calculate vector magnitudes, dot product, cross product, angle, and projections in 2D or 3D space.

Volume Calculator

Calculate the volume of common 3D shapes easily.

Z-Score and P-Value Calculator

Calculate z-scores, p-values, and perform statistical hypothesis testing with the standard normal distribution.