100 Services from numorapoi.orbonomy.xyz

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

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

Computes the rank of a matrix (2D array) via a pure math computation API with x402 micropayments

Computes the Internal Rate of Return (IRR) for a series of cash flows using pure math computation

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

Computes the inverse of a square matrix submitted as a 2D array

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

Performs LU decomposition on a 2D matrix, factoring it into lower and upper triangular matrices

Computes asset depreciation schedules given cost, useful life, salvage value, and optional depreciation method

Computes the determinant of a matrix supplied as a 2D array

Checks whether a given integer is a prime number using pure math computation

Performs statistical hypothesis tests on a dataset, returning test statistics, p-values, and interpretation

Computes simple interest for a given principal, rate, and number of periods using pure math computation with no external dependencies

Generates the first N numbers of the Fibonacci sequence using pure server-side computation with no external dependencies

Computes the nth Fibonacci number given an integer index n

Computes the nth Bernoulli number using pure mathematical computation with no external dependencies

Computes the mathematical limit of a function as x approaches a specified value, optionally from a given direction

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

Computes a histogram (frequency distribution) over a numeric dataset, optionally with a specified number of bins

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

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

Computes the Mersenne number for a given integer exponent (2^p - 1), returning the full result and a human-readable computation description.

Computes modular exponentiation (base^exp mod modulus) for integers, useful in cryptography and number theory

Computes the Jacobian matrix of a vector-valued function at a specified point

Computes the sum or convergence of a mathematical series given a term expression in index n, with configurable maximum terms and tolerance.

Computes option pricing (call/put) using Black-Scholes or similar models given spot price, strike, time to expiry, volatility, and risk-free rate

Computes the break-even point in units and revenue given fixed costs, price per unit, and variable cost per unit

Generates Pascal's triangle up to row n, returning all rows and binomial coefficients via a pure math computation endpoint.

Converts an angle value from one unit to another (e.g. degrees to radians) with no external dependencies

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

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

Converts a numeric energy value from one unit to another (e.g. joules to kilowatt-hours) with no external dependencies

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

Computes the Net Present Value (NPV) of a series of cash flows given a discount rate, using pure server-side math with no external dependencies.

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

Computes the eigenvalues of a given square matrix using pure server-side math with no external dependencies.

Computes the definite integral of a mathematical function over a specified interval [a, b] using numerical methods

Generates the first N terms of the Lucas sequence (2, 1, 3, 4, 7, 11, ...) via a pure math computation endpoint

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

Computes the statistical correlation coefficient between two numeric arrays

Solves quadratic equations (ax² + bx + c = 0) and returns real or complex roots given coefficients a, b, and c

Computes the eigenvalues and eigenvectors of a given square matrix using pure server-side math — no external dependencies.

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

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

Computes the inflation-adjusted value of an amount over a given number of years at a specified inflation rate

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

Computes the numerical derivative (first or higher order) of a mathematical function at a given point

Computes the Nth percentile value from a dataset of numbers using pure server-side math with no external dependencies

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

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

Computes the norm of a matrix (2D array), supporting multiple norm types, with no external dependencies.

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

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

Converts a numeric temperature value between temperature scales (e.g. Celsius, Fahrenheit, Kelvin) using pure math computation

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

Performs a two-sample t-test on two numeric arrays, returning the t-statistic, p-value, and related statistical results

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

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

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

Computes the nth Catalan number for a given non-negative integer n

Computes the QR decomposition of a matrix, factoring it into an orthogonal matrix Q and an upper triangular matrix R

Performs a chi-square goodness-of-fit or independence test given observed (and optionally expected) frequency arrays

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

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

Solves a system of linear equations given a coefficient matrix A and constants vector b, returning the solution vector

Performs one-way Analysis of Variance (ANOVA) across multiple groups to test whether their means differ significantly

Computes the payback period for an investment given a series of cash flows

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

Finds the numerical root of a nonlinear single-variable equation given a function expression and an initial guess

Computes projected retirement savings balance given an initial savings amount, annual contribution, interest rate, and number of years.

Computes the dividend yield by dividing the annual dividend by the stock price, returning the percentage yield and a human-readable description of the calculation.

Computes income tax liability across progressive tax brackets given an income amount and bracket structure

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

Solves polynomial equations given an array of coefficients (highest degree first) and returns the roots and computation details

Finds the minimum (or maximum) of a mathematical function given an initial guess and optional solver method

Computes moving averages (simple, exponential, or other types) over a numeric data array using a specified window size

Solves a linear equation of the form ax + b = 0, returning the value of x with no external dependencies

Computes the null space (kernel) of a given matrix

Solves cubic equations of the form ax³ + bx² + cx + d = 0 and returns all roots

Generates mathematical sequences of arbitrary length using custom recurrence rules and initial conditions

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

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

Identifies statistical outliers in a numeric dataset using configurable detection methods

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

Converts an area value from one unit to another (e.g. square meters to acres) with no external dependencies

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

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

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

Solves constraint satisfaction problems given a set of variables and constraints using pure math computation

Converts a numeric value from one data storage or transfer unit to another (e.g., bytes to megabytes, gigabits to terabytes) with zero external dependencies.

Generates the nth Euler number using pure mathematical computation

Computes return on investment (ROI) given a cost and a gain value

Converts a numeric weight value from one unit of mass to another (e.g. kilograms to pounds)

Solves linear programming optimization problems given constraint matrix A, right-hand-side vector b, and objective coefficient vector c

Generates a list of prime numbers up to the nth prime or the first n primes, using pure in-process computation with no external dependencies

Computes statistical probability distribution calculations (e.g. PDF, CDF, mean, variance) for a specified distribution type and parameters

Performs statistical sampling computations on a dataset, returning a sample of size n using a specified sampling method

Computes lease payment schedules and financial metrics given buy and lease parameters using pure math with no external dependencies

Generates a cryptographic or mathematical hash from an input string using a specified algorithm

Generates random numbers or sequences of a specified type and count using pure math computation