| Some basic number theory algorithms, allowing you to find the sum, difference and product (mod n), represent integers as the sum of two squares or as the sum of a square plus a multiple of another square, find the gcd, directly or step by step, of two numbers, determine if two numbers are relatively prime, use Euler Phi function to determine the number of relatively prime numbers there are to an integer, find multiplicative inverses (mod p), solve linear equation (mod n), solve a system of equations with multiple moduli and remainders (Chinese Remainder Theorem), use the Fast Powering algorithm f exponentiation (mod n), find primitive roots (mod p), find quadratic residues of an integer, determine if an integer has a square root (mod p), if so, find the square root (mod p), use the Jacobi Symbol, apply the Gauss Criterion, solve any quadratic equation (mod p), find idempotents of Z/nZ, find invariants of indempotents in Z/nZ, use the Solovay-Strassen, the Miller-Rabin test or the "wheel" for testing primality, factor an integer into product of primes, find the next prime starting at any integer, find the next prime with remainder r, modulo n. The HP 49 version has additional programs added to generate Pythagorean triangles, generate the Egyptian fraction decomposition of any fraction, and find the smallest solution to the Pell equation x*x - N*y*y=1, for fixed N>1. |
6KB/4KB
488KB/16KB
Curve-fitting program coded in User RPL. It allows one to fit to quadratic or linear curves.
Does curve fitting with linear, quadratic, and three different types of functions.
Solves all type of triangles, useful tool to use in programs for engineering, mathematics, etc. Angles input and exit in decimal degrees, 30% System RPL
and 70% User RPL.
A program that performs various apportion methods: Hamilton's, Jefferson's, Adams', Webster's, and Lowndes's. Gives quotas and divisors along with final apportionment.
8KB/14KB
Base conversion program, showing binary/hexidecimal/decimal/octal conversions all at once. All digits are shown, even if the number of binary digits is very high. Display of base representation now in nornal font.
Converts bases between HEX, BIN, OCT and DEC. Allows decimal number conversions. Also calculates Base & Base-1 complements.
Calculates Binomial Probabilities (individual and/or cumulative). ALso graphs probabilities tables.
Detailed analysis of all zeros and poles of the given transfer function, construction of the multiplied and the factored form of the transfer function, graphical output of a linear approximation and the smooth characteristic of gain and phase, axes of graphs labeled in powers of ten (frequency ), decibel (gain) und radiants (phase), and much more.
CAD geometry and 3D design program.
This program gives the formats for integrals and derivatives for calculus.
A complete suite of materia from Calculus III (vectorial differential and integral calculus) of Universidad de Concepcion.
This program contains methods of bisection, Regal Falsa, Newton-Raphson, and of the secant. It shows you the calculated table.
Apply formulas or programs on columns, rows or cells of arrays. DOSUBS and STREAM over arrays.
Program for the 49G that calculates the discrete convolution of two signals represented as two lists.
Solve n*(n+1) systems of linear equations using Cramer's Rule, in both symbolic and numeric modes.
Demo of the SIN command in the trigonometrical circle. For HP49G with rom 1.18 or rom 1.19-6.
This program allows one to calculate the probabilities, for which one could select the type of distribution, binomial, Poisson, geometric, or hypergeometric.
A very simple program. It improves multiplications and divisions, showing them exactly as we make it in paper.
A complete suite of materia of Ordinary Differential Equations from "Ecuaciones Diferenciales Ordinarias" course in the University of Concepcion, Chile.
1KB/1KB
Program to power a matrix by any value. Written in User RPL.
The famous HP48 Equational library reprogrammed, both for the HP49 and HP49+, with old and new solvers. Moreover, you can make your own equally comfortable equation browser on a field not covered by the standard equation categories, even with your own animation, similar as in the Mass-Spring system.
163KB/52-95KB
This is the complete Equation Library including all pictures from Hewlett-Packard for the TreeBrowser which was first available as a plug-in card for the HP 48SX and was later built into the HP 48GX and HP 48G. Also includes a separate library of economics equations.
Differential equation solver.
Program to solve e^Matrix using the Numeric Method of McLaurin's Series. Written in User RPL.
This is actually a HP49G translation of Joe Horn's Feet-Inches-Fractions (FIF) program for the HP48G. This is an invaluable program for anyone who works with dimensions, allowing all the calculator functions to work while displaying the FIF result!
Helps you browse, create, store, evaluate, delete, move, copy, modify, rename, arrange, backup, and share formulas (equations), all within an easy and friendly user environment. Includes auto-help and was made in User RPL. Version 2KX is animated and is optimized for the 49G+ and 50G; version 9.74 is optimized for the 49G.
Formula library program.
Calculates the area of a triangle given the length of its sides. Nice input form plus it detects when the sides don't enclose a triangle shape.
For creating, editing, seeing and working with equations.
A big database of mathematical formulas that may help the user.
Math equations collection. Created with Asistente para Menú Fácil v2.2.
Simple program for converting degrees/minutes/seconds.
All the material of algebra, physics, chemistry, and calculus corresponding to the first year of civil engineering at the University of Concepcion, Chile.
Linear interpolation library.
Library of equations for the HP49 that's better than EQNLIB of the HP48.
Graph any XY table.
This program solves differential equations using Euler, Euler modifed and Runge-Kutta.
MFUN calculates functions of square matrices through application of the Cayley-Hamilton Theorem. If the calculator is exact mode, the program attempts to calculate the function exactly, but if the eigenvalues of A cannot be found exactly, the program continues in approximate mode. HP 49G and HP 49G+ are supported.
Containd "Newton Raphson", "Segundo Orden de Newton", "Punto Fijo" and "Tanteo" iterative methods for solve any equations. It needs one initial value and it gives you the result and error. In addition it give you a table with the iterations realized.
Contains "Secante", "Bisección", "Falsa posición", "Interpolación Lineal" iterative methods for solve any equations. It needs two initial values and it gives you the result and error; in addition, it gives you a table with the iterations realized.
Calculates the values, the equation and the graph for least squares.
A program for fitting data.
Performs forecasts with smoothing. Exponential fitted and simple.
This is a small library (written in UserRPL) that complements the Finance Tools already included in the HP49G. This package can calculate the Internal Rate of Return given a Cash Flow or the Net Present Value given a Cash Flow and a discount rate. It also calculates annuities and perpetuities and gives their Present Value or Future Value.
Transforms any natural number between 0 and 1E12 to its expression in Roman numbers and vice versa. Written in assembly language, so it's VERY fast.
For an irregular polygon, this program takes a matrix from the stack and calculates the centroid, area, second moments of area, radii of gyration, principal moments of area, principal axes, and provides a graphical outline of the section indicating the origin and centroid.
Converts any type of unit to the corresponding International System (SI) unit in the most compact form possible. It is, in certain manner, the UBASE inverse command.
Equation solver manager.
Special Functions 2 expands on the Special Functions library, and contains new functions which include Set Theory (Union, Intersect, Relative Compliment), Complex Analysis (Derivative [Cauchy-Reimann Equation Test], Gradient), Stopwatch, more special functions (Si, Ci, Li, Ei, GD, Zeta, now with Roman Factorial, Pochhammer Function), Number Theory (Perfect Integer test, Arithmetic-Geometric Mean, Bernoulli Numbers [5 decimal place approx], and Fibonacci Numbers), a two week calendar, Finance (including net present value, internal rate of return, depreciation, net future value, PITI), and more.
Easy to use, Simplex algorithm solution.
Gives a Fourier Trigonometric or Complex Series of a periodic function, as well as tables of Fourier and Laplace Transform, written in 100% User RPL.
A trig library which will solve for any valid triangle. It uses a modified version of INPUTLINE to maintain the screen. Inputs and outputs can be in either Deg.Dec or HMS, with options for echoing to and from the stack. Supports normal display options fraction mark, and std/eng/sci, etc. Written in System RPL and compatible with ROM 2.0 and up.
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Allows a complete customization of the UNITS system. One may add user-defined units to the unit categories. User units are treated like builtins, i.e., the famous 3-fold functionality of a unit key applies to an integrated user-units as well. In addition, one may reorganize a units menu, i.e., reorder it or purge not needed units. The same can be done with the whole bundle of unit directories to which new ones may be added ad libitum. Now contains HTML documentation.
A complete set of unit utilities (utools). Includes a full-screen menu for fast access to 54 (49G+) or 42 (HP49G/48GII) user-selected units, a configurable inverse UBASE command, handling of general non-SI base units (cgs, English, Planck etc), re-implementations of MUC and other HP48 unit utilities. Requires ROM 2.00 on 49G+/48GII.
Performs material resistance calculations by taking a square matrix and calculating its eigenvectors and eigenvalues, just like EGV, but it changes the vectors for the unitary ones (with the same direction) and, if three-dimensional, checks if they form a direct reference system..
Works with vectors.
Takes out the wronskian from any number of functions that are put in.