100 Services from numormo.vercel.app
Computes the net present value of a series of cash flows discounted at a given rate
$0.1/messageSolves a system of linear equations given a coefficient matrix A and constant vector b, returning the solution vector
$0.1/messageComputes the Hessian matrix (matrix of second-order partial derivatives) of a multivariable function at a specified point
$0.1/messageComputes the transpose of a 2D matrix, flipping rows and columns, with no external dependencies.
$0.1/messageComputes the Frobenius, 1-norm, or infinity norm of a given matrix
$0.1/messageComputes projected retirement savings balance given current savings, periodic contributions, annual interest rate, and investment horizon
$0.1/messageComputes the Compound Annual Growth Rate (CAGR) given a beginning value, ending value, and number of years
$0.1/messageComputes the yield to maturity (YTM) of a bond given face value, market price, coupon payment, and number of periods
$0.1/messageComputes the inverse of a square matrix using pure math with no external dependencies
$0.1/messageGenerates mathematical sequences of specified length using a user-defined recurrence rule and optional initial conditions
$0.02/messageGenerates a list of the first N prime numbers using pure server-side math computation
$0.02/messageComputes simple (SMA), exponential (EMA), or weighted (WMA) moving averages over a numeric data array with a specified window size
$0.1/messageNumerically solves a nonlinear equation f(x)=0 given a function expression and an initial guess, returning the root.
$0.1/messageComputes the Collatz sequence (3n+1 conjecture) for a given integer, returning the full sequence and related statistics
$0.1/messageComputes the QR decomposition of a given matrix, returning orthogonal (Q) and upper triangular (R) factor matrices.
$0.1/messageComputes the condition number of a matrix, measuring how sensitive the matrix is to numerical errors in linear systems.
$0.1/messageComputes the present or future value of an annuity (ordinary or annuity-due) given a periodic payment amount, interest rate, and number of periods.
$0.1/messageComputes progressive income tax liability given an income value and a set of tax brackets
$0.1/messageComputes the determinant of a square matrix supplied as a 2D array
$0.1/messagePerforms a two-sample t-test on two numeric arrays and returns the t-statistic, p-value, and related statistical results
$0.1/messageCalculates the break-even point in units and revenue given fixed costs, variable cost per unit, and price per unit
$0.1/messagePerforms statistical sampling on a dataset using simple random, systematic, or bootstrap sampling methods
$0.1/messageComputes the null space (kernel) of a matrix — the set of all vectors x such that Ax = 0
$0.1/messageComputes asset depreciation schedules using straight-line, declining balance, or sum-of-years-digits methods given cost, useful life, and salvage value
$0.1/messageComputes the payback period for an investment given a series of cash flows, returning how long it takes to recover the initial investment.
$0.1/messageComputes Black-Scholes option pricing (price, Greeks, and related metrics) for call or put options given spot price, strike, volatility, time to expiry, and risk-free rate
$0.1/messageComputes the nth Catalan number given an integer index n
$0.02/messageSolves a linear Diophantine equation of the form ax + by = c, returning integer solutions if they exist
$0.1/messageConverts an angle value from one angular unit to another (e.g. degrees to radians)
$0.02/messagePerforms statistical hypothesis tests on numeric data arrays, returning test statistics, p-values, and conclusions
$0.1/messageSolves polynomial equations and finds their roots given an array of coefficients in descending degree order
$0.1/messageConverts a numeric time value from one unit to another (e.g. hours to seconds, days to minutes) with no external dependencies.
$0.02/messageComputes a full loan amortization schedule given a principal, annual interest rate, and loan term in months
$0.1/messageComputes the Singular Value Decomposition (SVD) of a matrix, returning U, Σ, and V matrices
$0.1/messageComputes simple interest given a principal amount, interest rate, and number of periods
$0.1/messageComputes the eigenvalues of a given square matrix using pure server-side math with no external dependencies.
$0.1/messageComputes compound interest growth for a principal amount given an interest rate, number of periods, and optional compounding frequency
$0.1/messageNumerically solves ordinary differential equations (ODEs) of the form dy/dt = f(t,y) given an initial condition and time span
$0.1/messageConverts an area value from one unit to another (e.g. square meters to acres) with no external dependencies
$0.02/messageComputes modular exponentiation (base^exp mod m) for integers, useful in cryptography and number theory
$0.1/messageComputes the Nth percentile value from a dataset of numbers with no external dependencies
$0.1/messageComputes the numerical gradient (vector of partial derivatives) of a multivariable function at a specified point
$0.1/messageGenerates a Fibonacci sequence of a specified length, returning the sequence as a computation result with a human-readable description.
$0.02/messageComputes Return on Investment (ROI) given a cost and a gain value, returning the ROI percentage and related financial metrics.
$0.1/messageComputes the Taylor series expansion of a mathematical function around a specified center point up to a given order
$0.1/messageComputes the fair present value (price) of a bond given its yield to maturity, face value, coupon payment, and number of periods
$0.1/messageComputes the nth Fibonacci number given an integer index n
$0.1/messageConverts a numeric volume value from one unit of measurement to another (e.g., liters to gallons, milliliters to cups).
$0.02/messageNumerically integrates a mathematical function over a specified interval using Simpson's, trapezoid, or Gauss quadrature methods
$0.1/messageDetermines whether a given integer is a prime number
$0.1/messageComputes the Pearson correlation coefficient between two numeric arrays, quantifying the linear relationship between them
$0.1/messageComputes the mathematical limit of a function as x approaches a given point, with support for one-sided and two-sided limits
$0.1/messageComputes the rank of a given matrix (2D array) using pure mathematical computation with no external dependencies.
$0.1/messageConverts a numeric weight value from one unit to another (e.g. kilograms to pounds) with no external dependencies.
$0.02/messageChecks whether 2^exponent − 1 is a Mersenne prime and returns the result with supporting computation details
$0.1/messageComputes the sum or convergence of a mathematical series given a term expression in index n, with optional term limit and tolerance.
$0.1/messageComputes the Internal Rate of Return (IRR) for a series of cash flows using pure math computation with no external dependencies
$0.1/messageComputes a histogram (bin counts and edges) for a given array of numeric data with a configurable number of bins
$0.1/messageComputes monthly mortgage payment and amortization details given principal, annual interest rate, and loan term in months
$0.1/messageNumerically computes the derivative of a mathematical function at a specified point, supporting higher-order derivatives.
$0.1/messageSolves quadratic equations (ax² + bx + c = 0) and returns the real or complex roots along with a human-readable computation summary
$0.1/messageComputes a chi-square goodness-of-fit or independence test given observed (and optionally expected) frequency arrays
$0.1/messageMultiplies two matrices (2D arrays) and returns the resulting matrix with a human-readable computation description.
$0.1/messageSolves numerical optimization problems (minimize/maximize a function) given a mathematical expression and an initial guess, using gradient descent or Nelder-Mead methods
$0.1/messageSolves linear programming optimization problems given an objective function and constraints using the simplex or related method
$0.1/messageSolves a system of linear equations Ax=b given a coefficient matrix A and constants vector b
$0.1/messageGenerates the nth Lucas number (or sequence up to n) using pure mathematical computation with no external dependencies
$0.02/messageComputes the prime factorization of an integer, returning its prime factors and their exponents.
$0.1/messageDetects outliers in a numeric dataset using IQR or Z-score statistical methods
$0.1/messageConverts a numeric temperature value between units (e.g. Celsius, Fahrenheit, Kelvin) with zero external dependencies via pure math computation.
$0.02/messageFits a polynomial regression model to paired x/y data arrays and returns regression coefficients and model statistics
$0.1/messageComputes the inflation-adjusted value of an amount over a specified number of years at a given annual inflation rate
$0.1/messageComputes the Jacobian matrix of a system of multivariate functions evaluated at a given point
$0.1/messageGenerates Pascal's triangle up to n rows, returning all row values as a pure math computation with no external dependencies
$0.02/messageConverts a numeric speed value from one unit to another (e.g., mph to km/h, m/s to knots) using pure math computation with no external dependencies.
$0.02/messageComputes descriptive statistics (mean, median, mode, variance, standard deviation, etc.) for a numerical dataset
$0.1/messageConverts a pressure value from one unit to another using pure math computation with no external dependencies.
$0.02/messageComputes the eigenvalues and eigenvectors of a given square matrix using pure server-side math with no external dependencies.
$0.1/messageConverts a numeric value between energy units (e.g. joules, calories, kilowatt-hours, BTU) with zero external dependencies
$0.02/messageSolves cubic equations of the form ax³ + bx² + cx + d = 0 and returns all real and complex roots
$0.1/messageConverts a numeric length value from one unit to another (e.g. meters to feet, miles to kilometers)
$0.02/messagePerforms LU decomposition on a matrix, factoring it into lower and upper triangular matrices for use in solving linear systems and related computations
$0.1/messageComputes statistical distribution parameters and properties (PDF, CDF, mean, variance, etc.) for normal, binomial, Poisson, or uniform distributions
$0.1/messageSolves a linear equation of the form ax + b = 0, returning the exact solution value with no external dependencies.
$0.1/messageComputes statistical confidence intervals for a dataset at a specified confidence level (e.g., 95%)
$0.1/messageGenerates arrays of random numbers following a specified statistical distribution (normal, uniform, Poisson, exponential, or binomial)
$0.02/messageDetermines whether a given integer is a perfect number (a positive integer equal to the sum of its proper divisors)
$0.1/messageComputes lease vs. buy financial comparisons using pure math with zero external dependencies, paid via x402 micropayments.
$0.1/messageComputes the nth Bernoulli number using pure mathematical computation with no external dependencies
$0.02/messageComputes the dividend yield by dividing the annual dividend payment by the stock price
$0.1/messageSolves systems of mathematical constraints over named variables, returning feasible solutions or optimal values
$0.1/messageConverts a numeric value from one data storage/transfer unit to another (e.g. bytes to gigabytes, megabits to terabytes)
$0.02/messagePerforms one-way Analysis of Variance (ANOVA) across multiple data groups to test whether their means differ significantly
$0.1/messageComputes the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two integers
$0.1/messageFinds local and global minima and maxima (extrema) of a mathematical function over a specified interval
$0.1/messageComputes the trace (sum of diagonal elements) of a square matrix
$0.1/messageGenerates Euler numbers up to the nth term using pure mathematical computation
$0.02/messageComputes the Z-score (standard score) for a dataset, returning standardized values indicating how many standard deviations each data point is from the mean.
$0.1/messageComputes the continued fraction representation of a given real number to a specified depth
$0.1/messageComputes non-cryptographic hash values (djb2, fnv1a, murmur) for a given input string
$0.02/message