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Based on a simple pendulum's mass (m), length (l), initial angle and velocity (y0), its motion is calculated. If the constant c is greater than zero, the motion will be damped.

Create HTML Interfaces

(On an **iPhone 6**)

An HTML page tool is used to wrap a simple calculation with a user interface. It takes height and weight and uses them to calculate a body mass index. Note the use of mixed units in the inputs.

A graph showing the results of using the optimizer to fit a group of randomized points with a parabola.

Data, including strings, can be stored in data table tools. Other tools allow this to be selected and manipulated in many ways.

Not Just for Science

(On an **iPad**)

Math Minion also has a range of financial functions as well as advanced string handling including regular expressions. In this shot from a session on the **Examples** page, an HTML page tool is used to display an internal rate of return calculation.

There is an expanded keyboard when editing formulas on iOS and it includes buttons for browsing conversion units, functions and objects and their contents. A tap will insert whatever you choose into the formula.

Here the formula field has been expanded to allow a multiline formula to be entered, which uses the **if** and **gt** conditional functions to limit the size of a value to 2 m. If used with an array, each element would be limited.

Steam Turbine Calculation

(On an **iPad**)

Math Minion can be used for quite complex calculations such as this steam turbine calculation that uses models that implement the Steam 97 from IAPWS. The models are available on the **Examples** page and can be cut and pasted into new sessions as they have been here.

(Yes, Math Minion can also perform complex calculations as in the square root of minus one kind).

A McCabe Thiele distillation column diagram is constructed on an ethanol water equilibrium diagram calculated using Margules.

Please see the **Examples** page as well.

**Math Minion** started out as a powerful scientific calculator and modelling system with a deep understanding of conversion units, but over time it has evolved into much more. When string handling was introduced to its powerful array handling, it became an adept string processor. The addition of data tables allowed it to handle many small database and spreadsheet problems and the introduction of HTML interface objects now makes it something of an app minion. The journey continues.

It combines a mind map style representation of the relationships between expressions, with a formula system that operates transparently on scalars, arrays and matrices. A hierarchical model system helps encapsulate calculations in logical and easily duplicated units and a flexible unit conversion system tracks the fundamental property types through calculations. This allows it to know, for instance, that some fathoms divided by a few days is in fact a velocity that should not be added to a kilogram.

Some interesting features include:

- equations that work equally well with scalars, arrays and matrices
- a function library that in addition to the usual suspects includes:
- matrix multiplication, inversion, eigenvalues, eigenvectors, transpose and redimensioning
- comparison (eq, ne, lt, ge, if etc)
- string functions (split, join, regular expressions, etc.)
- interpolation, indexof, select
- complex number and statistical functions
- time, sorting, random, web reading and many more.

- an innovative unit conversion system with automatic dimensional analysis
- data tables for storing and manipulating tabular data whether numeric or string
- models and model arrays for information and calculation encapsulation
- a solver for one or more nonlinear equations
- an optimizer
- an ordinary differential equation solver
- an iterator tool.
- two and three dimension graphs.
- an HTML interface object for creating calculation user interfaces.
- share sessions between iOS and Mac devices using iCloud
- store and retrieve sessions from Dropbox

Math Minion is a universal app that runs on the **iPhone** and **iPod Touch** as well as the **iPad**.

A completely compatible version for **Mac OS/X Lion** is also available for free in the Mac App Store.

All versions support **iCloud document handling**, so you can easily switch from device to device while working on the same sessions.

The manual from the application is also available (**iOS**, **Mac**).