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MMA console usage

Ax Kr edited this page Mar 30, 2019 · 7 revisions

Symja can be used as computer algebra system in a REPL featuring Mathematica-compatible syntax and functions.

Installation

Make sure the Oracle Java 8 development kit (JDK8) is installed. At a terminal you can type java -version to see if it is installed.

If not head to the Oracle JDK8 download page and follow the installation instructions.

Download the latest Symja release from

Unzip the download in a separate folder and modify the symjamma.bat file to use your Java 8 installation path to run the Symja MMAConsole:

"%JAVA_HOME%\bin\java" -classpath "lib/*" org.matheclipse.core.eval.MMAConsole  

Usage

The available predefined function names in the console are described in the

You can load a package(for example VectorAnalysis.m ) with the Get[] function like this:

<<"VectorAnalysis.m"

and call for example the DotProduct[] function:

>>> DotProduct[{a,b,c},{d,e,f}, Cartesian]
a*d+b*e+c*f

There are additional arguments to run MMAConsole and get the result back to the caller

  • -c or -code run the command
  • -f or -function -args arg1 arg2 run the function

See the MMAConsole JUnit tests for examples.

Examples

>>> 24/60
2/5

>>> N[24/60]
0.4

>>> Sin[30*Degree]
1/2

>>> Sin[Pi/2]
1

>>> a+a+4*b^2+3*b^2
2*a+7*b^2

>>> Solve[{x^2-11==y, x+y==-9}, {x,y}]
{{x->-2,y->-7},{x->1,y->-10}}

>>> DSolve[{y'[x]==y[x]+2,y[0]==1},y[x], x]
{{y[x]->-2+3*E^x}}

>>> Integrate[Cos[x]^5, x]
Sin[x]-2/3*Sin[x]^3+Sin[x]^5/5

>>> D[Sin[x]^3,x]
3*Cos[x]*Sin[x]^2

>>> Factor[-1+x^16]
(-1+x)*(1+x)*(1+x^2)*(1+x^4)*(1+x^8)

>>> Factor[5+x^12, Modulus->7]
(2+x^3)*(5+x^3)*(4+x^6)

>>> Expand[(-1+x)*(1+x)*(1+x^2)*(1+x^4)*(1+x^8)]
-1+x^16

>>> Det[{{1,2},{3,4}}]
-2

>>> Inverse[{{1,2},{3,4}}]
{{-2,1},
 {3/2,-1/2}}

>>> FactorInteger[2^15-5]
{{3,1},{67,1},{163,1}}

>>> Refine[Abs[n*Abs[m]], n<0]
-n*Abs[m]
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