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Toolboxes overview


Starting with the version 2.0 Algebrus software is distributed with additional libraries that are referred to as standard toolboxes. They contain additional type declarations, constants, operators, and routines, thus significantly enhancing software computational capabilities. Currently Algebrus is distributed with the following toolboxes:

All the toolboxes are available even in the evaluation unregistered version of the software. For more details look the help file that accompanies Algebrus package.

 

Algebra


This toolbox is one of the main toolboxes containing the most important definitions and features:

  • Support for complex numbers, polynomials and polynomial algebra

  • Mathematical functions of a complex argument

  • Solving polynomial equations

  • Simplified user interface for solving quadratic and cubic equations

  • Finding first derivation of a polynomial and its extremums

  • Plotting polynomials, polynomial roots (root locus), and polynomial extremums

  • Polynomial interpolation and data fitting

  • Calculation of eigen values of a matrix

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Solving polynomial equations

 

Analysis


Analysis toolbox contains several high-level data and signal analysis routines:

  • Polynomial data fitting with plots

  • Power spectrum plot

  • Signal time plot

  • Statistical characteristics: mean, variance, standard deviation, skewness, kurtosis

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Polynomial data fitting

 

Constants


Contains more than 100 fundamental physical constants along with descriptions and dimensions: universal, electromagnetic, atomic and nuclear, physico-chemical, and astronomical. All constants are accessible via the evaluator tool (see "Constants" screenshot to the right).

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Constants in the Evaluator

 

Converters


Converts to and from many dimensions of 20 different kinds of physical and mathematical quantities: Acceleration, Angle, Area, Astronomical, Computer, Density, Energy, Force, Frequency, Length or Distance, Particle Mass, Particle Magnetic Moment, Power, Pressure, Speed, Temperature, Time, Torque, Volume, Weight or Mass.
Converting doesn't require any additional programming - just access all converters by the Evaluator tool (see "Converters" screenshot to the right)

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Converters in the Evaluator

 

Fractions


This toolbox provides the software with capability to deal with natural fractions. When the toolbox is loaded any division of the two integer numbers results in a fraction rather than a floating point number. It contains type and operators definitions.

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Calculations with fractions

 

Geometry


Provides routines for calculating and resolving geometrical figures, such as triangles, quadrangles, polygons, spheres, cones, cylinders, etc. Most of the routines are used from the Evaluator tool in a form of specialized calculators with complete report, graphical, and numerical outputs.

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Graphical results

 

Plots


Many useful exploratory data analysis oriented routines are provided by this toolbox:

  • Autocorrelation plot

  • Bihistogram

  • Compass chart

  • Correlation plot

  • Data plot 2D

  • Data plot 3D

  • Error plot

  • Histogram

  • Lag plot

  • Normal probability plot

  • Pie chart

  • Sequence plot

  • Surface plot

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Bihistogram plot


Error plot
 

 

Quaternions


This toolbox provides capability to do calculations with quaternions:

  • Support for quaternion numbers and quaternion algebra

  • Quaternion related operators and routines

  • Calculating of rotation matrices from quaternion numbers

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