| Many special functions: Gamma, digamma, polygamma, Zeta, Kummer, Hypergeometric, Appell, Kampé de Fériet, Lauricella, Srivastava, associated Legendre, Bessel, orthogonal polynomials, Elliptic functions: Weierstrass, Jacobian, Carlson elliptic integrals; Airy, Anger & Weber, Dawson, Exponential integrals & related functions, Catalan, Fresnel, Debye, parabolic cylinder, error function, Fibonacci, Struve, Lommel, incomplete beta & gamma, Lerch, Coulomb wave, Whittaker, Toronto, spheroidal wave, ellipsoidal wave + fractional-integro-differentiation + non-linear systems + continued fractions. Includes comprehensive HTML documentation. |
This package contains many tools for statistical analysis. It was programmed from 1994 and served as pseudo-official tool for a few engineering students at the UCL. It was developed to fit in an HP 48G and to that effect has been compressed. You will need the RF compressor and the RFPU utility to decompress the programs (see author's website).
Simulates Charles Babbage's Difference Engine No. 2. Includes the original HP 48 version and DOS version, as well as new versions ported to the 49/50 and Win32 (which can run on 64-bit Windows 10). Included with permission of the author, along with 
Allows you to draw curves with its respective equation just with a matrix. Also predicts the X value, predicts the Y value, gives the model equation, and other things.
Menu for ALG V4.2 with interpolar utilities, UNIT, and calculator alg.
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The Animath libraries are a series of animations of 3 dimensional mathematical functions (primarily of the trigonometric variety) plotted using the 3D graphing utility built into the HP 48G/GX. Pre-rendered, each animation took from anywhere between an hour to 4 hours to have the calculator produce. These are impressive animations!
Makes anova (statistics) tables.
Anova table for multiple regression.
An Anova program.
Builds anova (adeva) tables for unifactorial designs, complete blocks design, latin square, greco-latin square and 2^k factorial design. If you want to work step by step it give you SStotal, Y.., Yi. and Y.j. Anova48pro includes many statistical tables: f-snedecor, chi-squared, t-student and Z table and It also will do a hypothesis test or a Bartlett test.
Small program in RPL, which allows you to calculate integrals with an approach value using the rectangle's method, trapezoidal method and midpoint method.
Calculates the tolerances value of a calculated value, which comes from a measurement with one or more independent parameters, like Y(x,y,z) --> delta Y(x,y,z,delta x,delta y, delta z). Requires 
Contains some programs to help with math, including the sine and cosine theorems, numeric integration, and the quadratic formula.
Base conversion program, showing binary/hexadecimal/decimal/octal conversions all at once.
Converts bases between HEX, BIN, OCT and DEC.
Solves second-order equations.
A series of programs illustrating both System RPL programming and the chaotic nature of bifurcation diagrams.
This set contains two programs for the HP 48 and HP 49. The first one, "BINO", computes Newton's binomial coefficients and the second one, "PAS", draws the Sierpinski triangle.
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) and radians (phase), and much more.
A bode plotter developed for use in control systems. It is a useful tool to use the frequency response of the open-loop system to determine the stability of a closed-loop system and something more.
Program to help with the course of Automatic Controls. Has routines for Bode, Routh, Nyquist, and more. Must have RFU installed.
Uses the "Cabbage Shui" method to find pi out of a list of numbers
CAD geometry and 3D design program.
This program gives the formats for integrals and derivatives for calculus.
Allows one to solve root finding approximation problems using various methods: Newton, secants, bisection, "regula falsi" (known as "false position") and successive approximations. The peculiarity of this program is that it display all the iterations (not just the solution!) with the number of significant digits chosen by the user.
A complete suite of material for Numeric Calculus at Universidad de Concepcion.
Cálculo Vectorial is a library designed to get the principal differential operator of vectorial calculus. Just enter a list of lists in level one, the first list are the scale factors of curvilinear coordinates (optional), the second list is the function and the third one are the variables.
Introduces calculus to beginning calculus students. Includes graphical tutorials.
Contains a large number of computer algebra commands similar to those in the HP 49 and the TI-92+, including EXPAND, FACTOR, PARTFRAC, GRADIENT, DIV, HESS, PREVAL, TABVAL, LINSOLVE, XNUM, AXL, AXM, PCAR, REF, CUMSUM, MEDIAN, TWOVAR, POLEVALM, CUMPROD, and much more.
Works with the Statistical Process Control, supplying the information of Cp and Cpk, Pp and Ppk, PPM, Variance, 6 Standard Deviation, 3 Standard Deviation the right and the left, Amplitude, Standard Deviation, values of Z and Pz, area under the curve (%) and much more. Tested on the 48GX, 48gII, 49G, and 49g+.
Useful library for working with complex numbers, and symbolic products, too.
Four simple User RPL conic section programs that graph and give various properties of a conic equation.
Converts numbers from one base to another.
Program that can calculate the price of some equipment of industry. The program is based on the software CHEMCAD.
Solve n*(n+1) systems of linear equations using Cramer's Rule.
Solve n*(n+1) systems of linear equations SYMBOLIC {{LIST}{LIST}{..}...} using 
Helps calculate the elements of horizontal curves (circular and transition) and vertical curves, each program calculating one or more variables. Avoids calculation errors if the initial variables are given correctly, and the formulas do not need to be "decorated".
Appears to do prime factorization of integers.
Determines whether a number is prime or composite, and if composite, lists the largest factors.
Solves differential equations by various methods.
Performs Bode-Nyquist and Nichols plotting and associated calculations.
RK4 solves differential equations using the fourth order Runge-Kutta method. Although it calculates N values of Y(T), the target solution is Y(b).
This program solves differential equations using Euler's method. Very easy!
Numeric differential equation solver with choice of different algorithms.
Construct an "anova" table for a bifactorial model with a single observation of a replica.
This program gives you the ANOVA table for a 2^2 and 2^3 factorial design and you can get sums of squares of all the contrasts simultaneously from a 2 k factorial design. It uses the Yates algorithm.
Distribution tables: normal, binomial and Poisson.
A very simple program. It improves multiplications and divisions, showing them exactly as we make it in paper.
Contains four programs: DIVIS.G (tells how many divisors a number has and which are they, with nice input form), DIVIS.S (same thing, but without interface, less intuitive but faster), FATOR.G (factorizes a number/decompose it into prime numbers, with nice input form) and FATOR.S (same thing, but without interface, less intuitive but faster).
Triangle solver for both the G and S series written 100% in System RPL. When given three measurements of a triangle (sides or angles) it automatically solves it, giving the three sides, three angles, three heights, and the area.
Statistics program. Performs combinatory analysis, minimum squares, distributions (Poisson, Hyper., binomial, normal, chi, t-student, f-snedecor, etc.), errors and deviations.
Program to power a matrix by any value. Written in User RPL.
Library with programs for working with differential equations.
EQM is an Equation Manager that was written to help users manage and organize equations more smoothly. EQM offers as many features as HP's equation library and much more. With EQM, users can create a true user-defined Equation Library.
The equation writer from Meta Kernel, extracted to run standalone. Perfect if you want to run SpeedUI instead of Meta Kernel but still want a fast equation writer.
Makes frequency charts, the "sesgo" coefficient, the "kurtosis" coefficient, variance, standard deviation, medians, class, limits, and more. Includes PDF documentation in English and Spanish.
Frequency table program.
A set of programs (in directory format) that works with lists of values and frequencies for statistic purposes, includes Relative Frequency (Fr), Accumulated Frequency (Fa), Percentage Frequency (F%), Sturges (Classes), Arithmetic Average (MA), Geometrical Average (MG), Harmonic Average (MH), Quadratic Average (MQ and Root, RMQ), Cubic Average (MC), Bi-Quadratic Average (MB), Error Analysis (DM, DvP) and Median (Md, PMd). Does not contain any documentation.
Program to solve e^Matrix using the Numeric Method of McLaurin's Series. Written in User RPL.
This application is designed to aid students in the exploration of calculus and pre-calculus mathematics.
A right triangle solver. Given any two sides, can return the pitch and the other side. Given the pitch and one side can return the other two. Works in decimal feet. Pitch expressed in inches rise per one foot of travel. Numbers entered in Feet.In16 mode. Handy display program shows lengths in Feet'-In f/16" in the status line.
Non linear best square regression program. This software perform interpolation for some function that can be calculated width the standard linear regression
This is intended as an education enhancer for children from grades 1-8. The program simulates drill and practice of basic arithmetic. Allows one to filter borrowing in subtraction and carrying in addition and records the time to solve each problem.
Allows one to store mathematical formulas so that they are well organized. Includes source code.
Given the coefficients, this decomposes some functions into partial fractions.
Draw volumes you get when rotating a function around the X-axis and show an animation of the volume rotating!
This library resolves Gauss-Jordan's procedure step by step, as it would be asked for in a test.
Solves polyhedrons and triangles.
Analytic geometry program.
Package of German geometry programs. Includes Conic Section 1.5, Triangle 1.0, and Vector Geometry Pack 1.1 (with distance calculating and other programs).
Program which uses HERO's formula to compute the area of a triangle.
Integrates using the either Simpson's method or the trapezoidal method, allowing one to choose the number of intervals used for the approximation. Very easy to use.
Directory of programs and formulas useful to first semester engineers, including geometry, algebra, and more.
All the material of algebra, physics, chemistry, and calculus corresponding to the first year of civil engineering at the University of Concepcion, Chile.
Transforms the HP 48GX into a symbolic powerhouse with symbolic capabilities that are state of the art! INT48pro handles Symbolic: Differentiation, Integration, Laplace and Inverse Laplace transforms as well as the Z-transform. Inverse Z-transforms, Fourier and Inverse Fourier transforms will soon be added to INT48pro. INT48pro can search over 1000 tables in less than a second! INT48pro was written in 30% assembler, 40% PCO/ML and 30% System RPL.
This program calculates interpolated values from a table, to find the intermediate value.
Linear interpolation library.
User RPL library for making linear interpolation, both simple and double. Allows INFORM interpolating, as well as STACK interpolating, the latter one quite quickly.
Program that gets the Lagrange and Hermite Interpolations in a symbolic way by calculating its coefficients and giving them back in the stack. Needs 
Interpolates points in a function. Solves Linear Fit, Power Fit, Log Fit, Exponential Fit, and Least Square of 2nd and 3rd degree.
Itab is a modification of INT48 lib by Jeremy Laughery. Itab has some new features: a built-in viewer, a new interface for easy navigation across the tables, display messages and expressions simultaneously, BZ compression, and more.
The best table of values command, extracted from MathTools 7.0.
This is a library which evaluates the Jacobian, to help people with the Newton-Raphson Method, and derive N equations below N variables, useful in electrical engineering.
Displays the Julia set, although it takes about an hour to run (or about 20 seconds in Emu48).
This package contains a CST menu and an installation guide. It is a mathematics program that includes, a table of values, a 'suites' manager, a PPCM-PGCD calculator, a 'bac' marks calculator, and a 'number decomposer'.
Finds limits, dimensions, and fit of inch shafts following ABC recommendations up to 19.69 inches.
LABCALC 4.0 is a program that lets you apply a function on an algebraic matrix. Useful when doing calculations on large amounts of gathered data. Requires the 
Program fits a polynomial equation to a set of data points in a similar fashion to the stats menu.
Probability and statistics library.
Works with limits.
Implements linear algebra functions not built into the 48G/GX or 49/50. Includes factorization commands (Cholesky factorization, Full-Rank factorization), vector space tools (Null Space, Column Space, Eigen-space), symbolic matrix building commands, Projection Operator commands, Matrix Generation commands (including the Hilbert matrix and its inverse, the duplication matrix, the commutation matrix, and others), miscellaneous linear algebra commands (rank, pseudo-inverse (or generalized inverse), Kronecker product, matrix exponentiation, and others).
Calculates the wheels of the lira of a winch to construct a spiral.
Calculates logarithms in any base, about 100 times more complicated than it needs to be.
System RPL program that calculates truth tables. It can use as many variables as you want, limited only by memory.
Program that can solve optimization problems with various methods. For functions of one or two variables. Revised version.
Math is a math library for dealing with numeric/symbolic polynomials and matrices with many capabilities. I included this older version because it takes less RAM.
Math is a math library for dealing with numeric/symbolic polynomials and matrices with many capabilities.
MathTools is a collection of tools to speed up and ease many mathematical functions of the GX, as well as including its own. Includes plotter replacement, front end for SOLVR, MatrixWriter replacement, EquationWriter replacement, table of values, and much more.
Converts matrix for electric circuits, two-door circuit theory, useful in electrical engineering.
Library for numeric methods, including Newton's Method, non-linear systems, and more.
A library for numerical methods. Contains programs for Bisection, Newton-Raphson, False Position, Fixed Point, Aitken, Newton for systems of non linear equations, Cholesky, Krylov, Taylor Series, Euler-Gauss, Runge-Kutta among others.
The library NR48/49 uses the Newton Raphson method to find the solution of equations of a variable.
A sort program of these two numerical methods. The solution is made step by step.
Finds the next number #n+1 of any given sequence of n numbers entered as a list {#1 #2... #n}.
It returns also the lowest polynomial going though the n given numbers, supposing that #1=f(0), #2=f(1)... #n=f(n-1).
Programs to help to draw graphs in the correct scale in the paper.
Solves statistical problems for various distribution equations, including Binomial, Poisson, Gaussian, Normal, Chi^2, Gamma, Student (t), Fisher (f), and Exponential distributions.
Has a pi "tutorial" to learn pi, a program to calculate digits of pi, and more.
This program simply allows the calculation of pi with an arbitrary number of figures (digit).
Triangle solver that gives the solution of a triangle after 3 measurements have already been given, based on Plane Triangle Solver originally written for the HP-41C by George A. Donaldson.
This program was created for only one thing: practicing math with integers. Designed for use in education, so only On-C can quit it.
Several probability routines, including the binomial mass, binomial distribution, Poisson mass, Poisson distribution, normal distribution unit transformation, DeMoivre-Laplace distribution, exponential distribution, and more.
Yet another linear programming program.
Performs forecasts with smoothing. Exponential fitted and simple.
Allows you to choose to calculate any one side of a right triangle, or enter all of the side lengths of a triangle to find if it is right. In User RPL for easy editing and compatibility with the 49 and 48.
A Quick Equation Writer. It helps ease equation-solving, etc. on tests and pressure situations. The program isn't too complex or speedy but it does streamline operations. When executed it displays a single algebraic symbol, the prompt "EQ:" and a menu of functions.
This program find the exact solutions of the quadratic formula Ax^2+Bx+C=0. It uses ALG48 to simplify the solutions. You must have 
A User RPL program to calculate the vertex, roots, discriminant, and completed square [or standard form] of a quadratic equation using given coefficients. Gives exact values (on the HP 49 only) if desired.
Contains most of the important equations for elementary Queueing Theory, along with a menu-driven interface to access and solve them.
Reduces two-dimensional conicals, giving the kind of conical and indicating if it's degenerated or if it's empty. Written in System RPL.
Reduces three-dimensional conicals, giving the kind of conical and indicating if it's degenerated or if it's empty.
An excellent replacement equation writer. A large equation that took 63 seconds to load in the built-in equation writer took less than 2 seconds to load in RainEQ. For the G series only; includes Java-enhanced version. Documentation by me, Eric Rechlin.
Patched RainEQ library (see above) for use with Erable.
Reed-Solomon decoder. More of a theoretical tool than a practical tool.
This program solves for resections, which are sometimes used by surveyors. The program uses Least Squares Estimates to calculate the 'best' solution for a resection.
Linear programming application which does the Bellman-Kalaba algorithm, the bisection algorithm, the Fibonacci algorithm, the Kruskal algorithm, the Newton algorithm, the Maranzana algorithm, the gradient method, and the simplex method. Also finds the gradient and Hessian of a function, does pivots, rationalizes a matrix, reduces into canonical form, finds the Lagrangian and the Kuhn-Tucker condition, and more. Has an excessive amount of graphical text and sound effects, taking a significant amount of memory. Comprehensive documentation in Word format.
Calculates several Riemann sums.
Numerically solves systems of differential equations by means of the 4th order Runge-Kutta method.
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.
Fast program to interactively find real roots from any equation.
Routh-Hurwitz Method for the stability of a transference polynomial.
This program calculates if a polynomial is stable or unstable, with
the help of the chart of Routh Hurwitz. There is a text file to explain to it.
RSum Calculates and displays the approximating areas for several types of Riemann Sums.
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.
Segment of a circle. Given any 2 of the 5 dimensions (Arc, Rise, Chord, Radius, Angle), solve for all of the others.
Non-linear equation solver.
SHA256 hash code implementation in User RPL for HP48G with documentation and listing. Calculation of SHA256 for short string takes on real device about 80 sec.
This is a set of some simple quadratic tools that solve quadratics for x and y, finds the roots and the discriminant, completes the square, finds the vertex, and finds a curve.
Program for solving problems in operation research (investigacion de operaciones) using the Simplex method.
Yet another simplex method program. Seems to be well-documented.
The best illustrative program of the Simplex method, showing iteration by iteration.
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.
Statistical Methods in Analytical Chemistry. Shapiro-Wilk test, Dixon test, Grubbs test, Huber test. Confidence limit, and other univariable calculation. PDF and HTML documentation in Italian only.
Symmetrical groups: operations with cycles and exchanges of Sn (An).
Simultaneous Non-Linear Equations Solver: an easy-to-use environment for solving systems of nonlinear equations.
Perform Fourier analysis on any function, using a built in signal (square, triangle, saw, sine, step, or pulse), a user-given signal, or a user-provided sample, all in a graphic environment.
This is a suite of utilities for eight of the most commonly used probability distributions in statistics and probability.
Performs hypothesis tests and confidence intervals for single sample mean, proportion, and standard deviation; two sample means (dependent or independent), variances, and proportions. Additional tests include one and two way analysis of variance (one or more factors), contingency tables, goodness of fit, and linear correlation test. Also included are critical values and p-values for the z, t, F, and Chi-square distributions. Runs on the 48G+ and GX.
Modified version of Stat48 that has been (almost) completely rewritten in System RPL to reduce size and execution time (thus the new name).
Stat48Pro is complete inferential statistics library written in System RPL. Essentially all hypothesis tests, confidence intervals, and sample sizes covered in a two quarter introductory statistics curriculum are computed by Stat48Pro. Included is a data manager which stores sample data sends statistics from stored data directly into input forms for the various statistical analysis applications. Some non-parametric tests are supported as well. This package is an upgrade to Stat48 by the same author -- more tests, confidence intervals, and samples sizes are handled. The new version is in library form, is easier to use, and runs more quickly. New features: normal probability plots, rank sums, minor bug fixes.
This is a Manufacturing program on the subject of Statistical Process Control. This program assumes the user have a basic knowledge of SPC. Explaining how to interpret SPC outputs is far beyond the scope of my documentation.
Demo of a shareware package of statistics programs. Evaluates probabilities for any random variable X which follows a binomial model, a Poisson model, or a normal (Gaussian) distribution, or evaluates the percentage points for a standardized Normal distribution.
Full (registered) version of StatsPack, cracked and ported to the 49/50 by me and included with the permission of the author. Evaluates probabilities for any random variable X which follows a binomial model, a Poisson model, or a normal (Gaussian) distribution, or evaluates the percentage points for a standardized Normal distribution.
Triangle solver. Solves all unknowns and graphs the triangle. German but easy to understand.
Designs unifactorial experiments.
Easy to use, Simplex algorithm solution.
Small program that gives a table of values for a function. For the G series only.
Very small but fast table of values program. Stand-alone version of the Table of Values program embedded in PowerPlot.
Yet another table of values program, working with multiple equations. For both the S and G series.
Powerful table of values program.
Yet another table of values.
System RPL program which generates lines of Pascal's Triangle (also known as the Tartaglia Triangle).
User RPL program which solves a triangle immediately after being given three inputs. Also solves the dual-solution SSA problem. Includes commented source code and gives information on how to modify it to show both SSA solutions after only running the program once.
Calculates the law of sines and law of cosines, the triangle area function, perimeter, etc.
Contains programs for finding areas of triangles, how many solutions a triangle has, the laws of cosines, the law of sines, arc length, converting radians to degrees and converting degrees to radians.
Solves the unknowns of a triangle when you know 3 properties. Right triangles and obtuse triangles are handled.
This is a triangle solver for the 48GX. Includes PDF documentation in English and Spanish.
A collection of trigonometry commands for solving triangles.
Solves trigonometry problems that would be useful for machinists. For the G series only. Requires 
A trig library which will solve for any triangle and will give both solutions. It looks like a solver with pict, and inputs and outputs must be in decimal degrees. It will also input from the stack by a full screen choose list and has options for displaying fraction mark, and std/eng/sci, etc. Written mostly in System RPL.
Basically a journey through the unit circle, cosine, and sine.
Allows you to make truth tables with any variables you want.
This program is designed to construct and display or print truth tables for 1 to 7 variables and any logical expression based on those variables.
Implements the calculation of upper tail probabilities for a number of distributions, including the normal, chi-squared, Snedecor's F, Student's t, the Binomial, the Negative Binomial, and the Poisson distribution. Extends the usable degrees of freedom for the F and t distribution by using large-sample normal approximations. Calculation of upper-tail probabilities of the Binomial, Negative Binomial, and the Poisson distribution use relationships between them and the F or t distribution.
Vectorial is a library in User RPL, useful for second level calculus. Includes the commands GRADIENTE, PTANGENTE, DIRECC, DIFERENCIAL, HESSIANO, JACOBIANO and PARCIALES.
Vector program.
Useful for viewing matrices with long complex numbers.
Program that manages, calculates and displays statistical data, simultaneously showing the data on the sigmaDAT variable. It allows editing, plotting and calculating different types of fit (linear, power, logarithmic, best fit), all in the same window, and there are 3 different ways of editing data. It also calculates linear fit with uncertainty in the slope and intercept.
Factors a positive whole number into its prime factors. It is very fast, especially with large numbers.
This System RPL program generates the 3 neighborhood, 2 state, 1-dimensional cellular automata commonly known as the Wolfram automata, after Steven Wolfram, who did pioneering work in the field.
An equation manager that operates much like the equation library that is built into the G/GX series calculator. The major difference is that xMRGLIB allows the user to add, delete, and order information.