100 Services from numormor.netlify.app

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

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

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

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

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

Calculates monthly mortgage payments and related financial figures given a loan principal, annual interest rate, and loan term in months

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

Computes the condition number of a matrix to assess its numerical stability and sensitivity to perturbations

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

Computes the Nth percentile value from a dataset of numbers

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

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

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

Checks whether 2^exponent - 1 is a Mersenne prime and returns the resulting number and primality status

Computes the null space (kernel) of a given matrix using pure mathematical computation.

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

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

Computes modular exponentiation (base^exp mod m) for integers via a pure math computation endpoint

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

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

Computes the chi-square statistic from observed (and optionally expected) frequency arrays

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

Computes the mathematical limit of a function as x approaches a specified value, with optional direction control

Converts a numeric volume value from one unit to another (e.g. liters to gallons, milliliters to cups)

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

Computes the norm of a matrix (e.g. Frobenius, spectral, or other norm types) given a 2D array input

Computes the statistical correlation coefficient between two numeric arrays

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.

Converts a temperature value from one unit (e.g. Celsius, Fahrenheit, Kelvin) to another using pure math computation

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

Converts a numeric value from one energy unit to another (e.g. joules to kilowatt-hours, calories to BTUs)

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

Calculates income tax liability across progressive tax brackets given an income amount and a set of bracket definitions

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

Computes the nth Fibonacci number given an integer index n

Generates the nth Lucas number or the Lucas sequence up to n terms using pure mathematical computation

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

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

Computes the Collatz sequence for a given positive integer, returning the step-by-step hailstone sequence until it reaches 1

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

Determines whether a given integer is a prime number, returning a boolean result with a human-readable computation description.

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

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

Multiplies two matrices (2D arrays) together using pure server-side math computation, returning the resulting product matrix

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

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

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

Performs one-way Analysis of Variance (ANOVA) across multiple data groups to test for statistically significant differences between group means

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

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

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

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

Solves a cubic equation ax³ + bx² + cx + d = 0 and returns all roots

Converts a pressure value from one unit to another (e.g. PSI to Pascal, bar to atm) using pure math computation with no external dependencies.

Solves quadratic equations of the form ax² + bx + c = 0, returning roots and solution details

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

Computes the transpose of a matrix (swaps rows and columns) given a 2D array input

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

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

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

Generates a Fibonacci sequence of the specified length using pure server-side math computation, with no external dependencies

Solves linear programming optimization problems given objective coefficients and constraint matrices using pure math computation

Performs polynomial regression on paired x/y data arrays, returning fitted coefficients and goodness-of-fit metrics with zero external dependencies

Computes the nth Bernoulli number using pure math with no external dependencies

Numerically integrates a mathematical function over a specified interval [a, b] using a configurable method

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

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

Computes the multiplicative inverse of a square matrix using pure math, returning the inverse matrix and a human-readable computation description.

Finds the roots of a polynomial equation given its coefficients, listed from highest degree to lowest.

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

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

Computes projected retirement savings growth given an annual rate, time horizon, current savings, and regular contributions.

Computes the sum of a mathematical series given a term expression in index n, with configurable term count and convergence tolerance

Detects statistical outliers in a numeric dataset using configurable methods

Computes a financial comparison between leasing and buying an asset, returning cost breakdowns and metrics for both scenarios

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

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

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

Generates the first N terms of the Euler number sequence using pure mathematical computation

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

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

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

Solves a system of linear equations given a coefficient matrix A and constants vector b, returning the solution vector x such that Ax = b

Computes descriptive statistics (mean, median, mode, variance, standard deviation, etc.) for a given numerical dataset

Calculates return on investment (ROI) given a cost and gain amount

Computes the LU decomposition (lower-upper factorization) of a given matrix, returning L and U factors for use in solving linear systems and numerical analysis.

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

Generates a list of the first N prime numbers using pure server-side math computation

Solves mathematical optimization problems (minimization/maximization) for a given function and initial guess using numerical methods

Generates the first n rows of Pascal's Triangle as a pure math computation with no external dependencies

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

Performs a two-sample t-test on two numeric arrays and returns the test statistic, p-value, and interpretation

Numerically solves a nonlinear equation expressed as a function of x, given an initial guess, returning the root.

Computes a frequency histogram from a numeric data array, returning bin edges and counts for distribution analysis

Generates n random numbers of a specified type (e.g. integer, float, normal) with optional distribution parameters

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

Computes dividend yield by dividing the annual dividend per share by the stock price

Performs statistical sampling computations on a dataset, selecting n samples using a specified sampling method

Performs statistical hypothesis tests on a numeric dataset using configurable parameters such as significance level and population mean.

Generates a cryptographic hash of a given input string using a specified algorithm