100 Services from numomo.vercel.app

Calculates the fair market price of a bond given its yield-to-maturity, face value, coupon payment, and number of periods

Computes Black-Scholes options pricing (price and Greeks) for call or put options given spot price, strike, volatility, time to expiry, and risk-free rate

Computes a full loan amortization schedule given principal, annual interest rate, and loan term in months

Computes the determinant of a square matrix supplied as a 2D array, returning the scalar result with no external dependencies.

Computes the null space (kernel) of a given matrix using pure mathematical computation with no external dependencies.

Computes the numerical gradient (vector of partial derivatives) of a multivariable function at a specified point

Determines whether a given integer is a prime number

Generates a list of the first N prime numbers using pure mathematical computation, with no external dependencies.

Computes the confidence interval for a dataset at a specified confidence level (e.g., 95%)

Computes the Net Present Value of a series of cash flows discounted at a given rate, returning the NPV result with a human-readable computation description

Computes progressive tax liability given income and tax brackets, returning the total tax owed and effective tax rate

Solves a system of linear equations Ax=b given a coefficient matrix A and constant vector b

Numerically solves ordinary differential equations (ODEs) of the form dy/dt = f(t,y) given an initial condition and time span

Numerically integrates a mathematical function over a specified interval [a, b] and returns the computed result

Generates the first n rows of Pascal's triangle as a pure math computation with zero external dependencies

Computes descriptive statistics (mean, median, mode, variance, std dev, etc.) for a numerical dataset

Computes simple or exponential moving averages over a numeric data series given a sliding window size

Computes the Taylor series expansion of a mathematical function around a given center point up to a specified order

Computes the future or real value of a monetary amount after applying an inflation rate over a given number of years

Solves linear programming optimization problems given objective coefficients and constraint matrices

Computes the Pearson or statistical correlation coefficient between two numerical arrays

Finds local and global minima and maxima (extrema) of a mathematical function over a specified interval

Computes the partial sum or convergence of a mathematical series given a term expression indexed by n

Fits a polynomial regression model to paired x/y data arrays and returns the regression coefficients and fit statistics

Solves a system of linear equations Ax=b given a coefficient matrix A and constant vector b

Solves linear Diophantine equations of the form ax + by = c, returning integer solutions if they exist

Converts an angle value from one angular unit to another (e.g. degrees to radians, gradians to turns)

Computes eigenvalues of a square matrix using pure math, returning all eigenvalues with no external dependencies.

Computes the nth Bernoulli number using exact rational arithmetic with no external dependencies

Solves quadratic equations of the form ax² + bx + c = 0, returning all real or complex roots

Generates mathematical sequences of length n using a user-defined recurrence rule and optional initial conditions

Computes the yield-to-maturity (YTM) of a bond given its face value, market price, coupon payment, and number of periods

Numerically solves a nonlinear equation f(x)=0 given a function expression and an initial guess, returning the root.

Computes simple interest and related financial values given a principal amount, interest rate, and number of periods

Computes the present or future value of an annuity given a periodic payment amount, interest rate, and number of periods

Multiplies two matrices (2D arrays) and returns the resulting product matrix with a human-readable computation description.

Computes the nth Fibonacci number in the sequence using pure mathematical calculation with no external dependencies

Computes the norm of a matrix (e.g. Frobenius, 1-norm, infinity-norm) given a 2D array input

Computes the continued fraction representation of a real number to a specified depth

Performs one-way ANOVA statistical test across multiple groups to determine if their means differ significantly

Computes the trace (sum of main diagonal elements) of a square matrix

Computes the QR decomposition of a matrix, returning orthogonal (Q) and upper-triangular (R) factor matrices

Computes the mathematical limit of a function as x approaches a given value, with optional directional control

Converts a numeric speed value from one unit of measurement to another (e.g. mph to km/h, knots to m/s)

Converts a numeric pressure value from one unit to another (e.g. PSI to bar, atm to Pascal)

Computes the Hessian matrix (matrix of second-order partial derivatives) of a multivariable function at a specified point

Converts a numeric value from one volume unit to another (e.g. liters to gallons, cubic meters to fluid ounces)

Computes the Jacobian matrix of a vector-valued function at a specified point in n-dimensional space

Computes the eigenvalues and eigenvectors of a given square matrix using pure numerical methods.

Computes Singular Value Decomposition (SVD) of a matrix, returning U, Sigma, and V components

Computes the rank (number of linearly independent rows/columns) of a given matrix

Computes asset depreciation schedules (straight-line, declining balance, etc.) given cost, useful life, and salvage value

Computes the Internal Rate of Return (IRR) for a series of cash flows using numerical methods

Computes the Nth percentile of a dataset, returning the value below which N% of the data falls

Computes the condition number of a matrix, indicating how sensitive a linear system is to numerical errors or perturbations.

Computes the Collatz sequence (3n+1 problem) for a given positive integer, returning the full sequence and stopping time

Computes the Compound Annual Growth Rate (CAGR) given a beginning value, ending value, and number of years

Determines whether a given integer is a perfect number (equal to the sum of its proper divisors)

Computes compound interest growth given a principal amount, interest rate, number of periods, and optional compounding frequency per year

Computes a histogram (bin counts and ranges) for a given dataset of numeric values

Converts a numeric value from one length unit to another (e.g. meters to feet, miles to kilometers)

Generates the first N numbers of the Fibonacci sequence as a pure math computation with zero external dependencies

Computes Return on Investment (ROI) given a cost and gain value, returning the ROI percentage and related computation details.

Computes the z-score (standard score) for a dataset, indicating how many standard deviations each value is from the mean

Computes the nth Catalan number — a combinatorial sequence used in counting nested structures, bracket expressions, and tree topologies.

Converts a numeric weight value from one unit to another (e.g. kilograms to pounds) with no external dependencies

Computes whether a given integer exponent produces a Mersenne prime (2^p - 1) and returns the resulting Mersenne number and its properties

Solves polynomial equations by finding roots given an array of coefficients (highest degree first)

Computes the inverse of a square matrix using pure math computation with no external dependencies

Computes a chi-square goodness-of-fit or independence test given observed (and optionally expected) frequency arrays, returning the test statistic, p-value, and degrees of freedom.

Computes modular exponentiation (base^exp mod modulus) for integers with no external dependencies

Computes the nth Lucas number in the Lucas sequence using pure server-side math with no external dependencies

Calculates the break-even point (units and revenue) given fixed costs, price per unit, and variable cost per unit

Computes the payback period for an investment given a series of cash flows, returning how long it takes to recoup the initial investment.

Computes the complete prime factorization of a given integer, returning all prime factors and their exponents.

Solves a cubic equation ax³ + bx² + cx + d = 0, returning all real and complex roots.

Converts an area measurement from one unit to another (e.g. square feet to square meters) with pure mathematical precision

Computes monthly mortgage payment and amortization details given a loan principal, annual interest rate, and term in months

Performs LU decomposition on a square matrix, returning lower and upper triangular factor matrices.

Performs a two-sample t-test to determine whether two data sets have statistically different means

Computes the numerical derivative of a mathematical function at a specified point, with support for higher-order derivatives and configurable step size.

Detects statistical outliers in a numeric dataset using configurable methods, returning flagged values and their positions.

Projects retirement savings growth given an initial balance, annual contribution, interest rate, and time horizon

Computes the transpose of a 2D matrix, flipping rows and columns

Solves systems of constraints over named variables and returns feasible solutions or optimal values

Converts energy values between different units (e.g. joules, calories, kilowatt-hours, BTU) using pure mathematical computation

Finds local or global minima/maxima of a given mathematical function starting from an initial guess point

Computes Euler numbers (E_n) for a given non-negative integer index n

Performs statistical hypothesis tests (e.g. t-tests, z-tests) on a dataset with configurable test parameters such as mu and alpha.

Converts a numeric temperature value from one unit to another (e.g. Celsius to Fahrenheit, Kelvin to Celsius)

Computes and compares lease versus buy financial scenarios, returning key metrics to help decide the optimal financing option

Draws a random sample of n items from a dataset using a specified sampling method (e.g. random, stratified)

Converts a numeric time value from one time unit to another (e.g. hours to seconds, minutes to days)

Computes the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two integers

Computes the dividend yield given a stock price and dividend amount, returning the yield ratio and a human-readable description of the computation.

Solves a linear equation of the form ax + b = 0, returning the root x as a pure math computation

Computes statistical probability distributions and related metrics given a distribution type and parameters

Converts a numeric value between data storage/transfer units (e.g. bytes to megabytes, kilobits to gigabits) using pure math computation

Generates random numbers or sequences of a specified type and count using pure mathematical computation, with no external dependencies.

Generates cryptographic hash values for input strings using configurable hashing algorithms