aMathEngine - Demo

About aMathEngine - Demo Android App

A Graphical Math Calculator for School, Science and Control Engineering.


Calculator
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+ Typical Math Operations s. Screenshot.
+ Adds trigonometric and hyperbolic functions.
+ Transforms Numbers to Hex, Dual, Octal, Decimal Format.
+ Complex Numbers: Addition, Subtraction, Multiplication, Division, Amount, Angle, Polynomial
+ Analytical Geometry: Point, Straight Line, Plane, Sphere ...
+ Matrices: Inverse, Determinant, Eigenvectors, Multiplication, Gauß-Algorithm...
+ Fraction Form.
+ Displays graphical Formulas, with zoom and rotation possibilities.
+ 12 Workspaces.
+ Shows Functions with 'Gesture Functionality'.
+ Manually Editing of the interval boundaries.
+ Calculates Extreme Values: Root's, Maxima, Minima and Pole's.
+ Memorybutton.
+ Stores Functions, optionally with Parameters.
+ nested Functions are possible.
+ Two Graph Modes are available: a Split-Screen Graph and a Multi-Screen Graph.
+ The Multi-Screen Graph Mode supports three Functions in one Screen.
+ The Split-Screen-Graph Mode shows two Functions per Screen.
+ Displays the Function values.
+ PDF Export.


Regulation Technology
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+ Tuning Rules:
> Magnitude Optimum from Kessler
> Symmetrical Optimum from Kessler
> Chien Hrones Reswick
> Latzel
> Samal
> Kuhn
> Oppelt
> Cohen Coon
> Ziegler Nichols

+ Calculates Parameters:
> with different Test Signals,
> for I-Tn, P-T1, P-T2, P-T2s and P-Tn Plants,
> for a Transfer Function with initial conditions,
> for many different and/or equal Time-Constants [P-Tx Plants],
> from a given Step Response with a P-Tn (n equal Time-Constants) Approximation in accord with 'Schwarze',
> from a given Step Response with a P-T1-Tn (one separate Time-Constant and any equal Time-Constants) Approximation in accord with 'Schwarze',
> from a given Step Response with a P-Tt-T3 Approximation in accord with 'Thal-Larsen',
> from a given Step Response with a P-T2 Approximation in accord with 'Ormanns',
> from a given Step Response with a P-Tx Approximation in accord with 'Radtke',
> from a given Step Response with a P-Tn Approximation in accord with 'Sponer',
> from a given Step Response with a P-Tt-T1 Approximation in accord with 'Strejc',
> from a given damped Oscillation and
> from a TuTg-Approximation.

+ Identification of the P-, I-, PI-, PD-, and PID Controller Parameter from a Step Response.

+ Illustration of the Step Responses from the Plants and Controllers see above
> in a Multi-Function-Graph [3 Step Responses] or
> in Split-Screen-Graph [2 Step Responses per Screen]
> with or without Tangents.

+ Calculation and Depiction of Closed Loops and Plants with different Test Signals.

> Continuous Controller:
P, I, PI, PD, and PID,
mathematical Controller,
Regulation Limitation
and Anti-wind-up.

> Discrete Controller:
Two-Point Controller,
Three-Point Controller.

> Plants:
Deadtime-, P-, I-, D- and Oscillating Element,
delay Elements with equal Time-Constants,
delay Elements with different Time-Constants,
TuTg-Element,
Transfer Function with initial conditions,

Reference Performance at a specified Time,
Compensation Element in the Reference Path,
Disturbance Attenuation before and behind a Plant.

+ Analytical Calculation of Differential Equations with Initial Values, given as a Transfer Function G(s).

+ Illustration of the Input Signals
> in a Multi-Function-Graph [3 Closed Loops] or
> in a Split-Screen-Graph [2 Closed Loops per Screen]
> in tabular form.
> ...

+ PDF Export.
+ CSV Export.

Simulation
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+ Settings of the Interval Limits.
+ Adjustment of the Calculation Steps.
+ Algorithm Runge-Kutta.