The program determines for a general equation of 2nd order given as A*x^2 + B*x*y + C*y^2 + D*x + E*y + F = 0 the type of curve ( circle, ellipse, parabola, hyperbola ) and displays details like radius, semi-axes, midpoint and/or angle of rotation. This program can calculate both the principle argument and complex roots of degree n, of any complex number, with steps.Ĭonic Section - Equation of 2nd Order v2.0 Takes a unformatted quadratic equation as a string, autodetects the variable, shows all work and solves the quadratic equation by using the completing the square method. Includes functions for finding poles, calculating residues (including the residue at infinity), computing contour integrals, and (last but not least) Laplace and Inverse Laplace transforms. Type clothoid(1) to draw a clothoid (also called Euler spiral or Cornu spiral) or clothoid(2) to draw a related curve.Ī library of functions for the TI-Nspire CAS for use in complex analysis. A graph of the last calculation is provided on page 1.4. Besides, the lengths of p, T1, T2, the angle alpha between T1 and T2 and the area A of the triangle (P0,P1,P2) are computed as well.
Given a circle and an outer pole P0, a secant ( chord ) p with intersection points P1, P2 or the midpoint of a chord the program finds the unknown variables and the tangents T1, T2 which include P0,P1 and P2.
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The program then returns an integer x (if it exists) with x=r mod m for all i. The user enters a list m of moduli and a list r of remainders. This program demonstrates the Chinese remainder theorem. Includes bug fix that uses leap years for the year range of 4713 BCE to 45 BCE. Includes English and Portuguese versions.Ĭalcalc 1.4 with bugfixes. Run the simulation to determine a numerical approximation to the value of Pi.
The probability of the needle crossing a line is a function of the needle's length and Pi. Simulates drops of a needle on a sheet of paper with equally spaced lines. It also generates truth tables and provides proof functions. These functions provide a Boolean syntax wrapper for standard Boolean operators. The program solves the Bernoulli differential equation being given as y'+g(x)*y=h(x)*y^n in the general form (constant Ci undetermined) or finds, as of v2.0, the numerical solution to Ci for an initial condition y(x0)=y0. This version works on both the Nspire CAS as well as on the non CAS variant.
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Thanks for your interest in my app! The Haus of AnhHai develops quality applications for a variety of platforms, such as nSpire, 84SE, Java, Android, Windows and Mac! Be sure to plop a donation at the developer's site to help fun continued FREE nSpire apps! Commands: (Must be accessed from the library function, be sure to refresh libraries) *autofoil: Launches the autofoil wizard *autofoillegacy: (f1,f2,f3,f4) Takes the inputs and simplifies it using the FOIL method. For the legacy version however, you must include in this format: (f1,f2,f3,f4).
Give the required inputs and you're done. Smiley The program is very straight-forward. But to keep nice with 2.0 users, I have also included a "legacy" version inside the program file. In fact, with the recent 3.0 update, a wizard for AutoFoil has been implemented. Cheesy ) This program is also very easy to work with. That's why I figured out AutoFoil! It saves time with the whole FOIL thing and saves paper space! (And it helps me be lazy. When working with many math equations such as factoring or quadratic stuff, many (2x-4)(4x+2)-like (in format) strings come up and become very tedious to solve or simplify. One of these things that fail is "FOIL"-ing, also known as First Outer Inner Last. One of my pet peeves about my nSpire CAS, is that: although it is marketed as a CAS, it sometimes doesn't work the way I expect from a $150 device. The outputs from the program are 1) a statement as to whether the convergence critera was met, 2) the iteration matrix showing the progression of estimated parameters and associated sum-of-square errors, 3) the ANOVA matrix, 4) a vector of the standard error of the regression and R^2 stats, 5) a matrix of the estimated parameters with their standard errors, t values and probabilities, and 6) the fitted equation (as sometimes simplified by the software). (Update: corrects a problem created by the latest update.) This program fits data to an arbitrary function, i.e., to functions that are not necessarily linear in their parameters. Icon legend: File with screen shots File with animated screen shots File with reviews Featured programs Click a folder name to view files in that folder.
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Math Equations Library 4.0 (CAS) with 26,122 downloads.Ĭlick a filename to download that file.
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