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Regarding the last error in the question:

I issue the following command in the Sage Terminal: /cygdrive/c/Program Files/scilab-6.0.1/bin/scilab -nw but I get bash: /cygdrive/c/Program: No such file or directory

As @Emmanuel Charpentier mentions, you should escape the space character in "Program Files".

That is, in the Sage shell, you should instead run

/cygdrive/c/Program\ Files/scilab-6.0.1/bin/scilab -nw

Note that the bash error

bash: /cygdrive/c/Program: No such file or directory

is an indication: because of the space, bash thought you were calling /cygdrive/c/Program rather than /cygdrive/c/Program\ Files/scilab-6.0.1/bin/scilab.

The same goes for setting the PATH in the Sage shell. What you need to add to this PATH is

/cygdrive/c/Program\ Files/scilab-6.0.1/bin

with the space in "Program Files" escaped with a backslash.

Now if you want to use Scilab from within Sage (in the Sage REPL or in the Jupyter notebook), that's it.

If you want to run the Scilab kernel for Jupyter, you should install it.

For that, in a Sage shell, run

pip install scilab_kernel

or

sage -pip install scilab_kernel

This will install the Scilab kernel, which will be located at

$SAGE_ROOT/local/share/jupyter/kernels/scilab

where $SAGE_ROOT is the location of the Sage installation.

Next time you launch Sage's Jupyter notebook server, you will be able to create Jupyter worksheets with the Scilab kernel, or to change kernel to the Scilab kernel in existing Jupyter worksheets.

Regarding the last error in the question:

I issue the following command in the Sage Terminal: /cygdrive/c/Program Files/scilab-6.0.1/bin/scilab -nw but I get bash: /cygdrive/c/Program: No such file or directory

As @Emmanuel Charpentier mentions, you should escape the space character in "Program Files".

That is, in the Sage shell, you should instead run

/cygdrive/c/Program\ Files/scilab-6.0.1/bin/scilab -nw

Note that the bash error

bash: /cygdrive/c/Program: No such file or directory

is an indication: because of the space, bash thought you were calling /cygdrive/c/Program rather than /cygdrive/c/Program\ Files/scilab-6.0.1/bin/scilab.

The same goes for setting the PATH in the Sage shell. What you need to add to this PATH is

/cygdrive/c/Program\ Files/scilab-6.0.1/bin

with the space in "Program Files" escaped with a backslash.

Now if you want to use Scilab from within Sage (in the Sage REPL or in the Jupyter notebook), that's it.

If you want to run the Scilab kernel for Jupyter, you should install it.

For that, in a Sage shell, run

pip install scilab_kernel

or

sage -pip install scilab_kernel

This will install the Scilab kernel, which will be located at

$SAGE_ROOT/local/share/jupyter/kernels/scilab

where $SAGE_ROOT is the location of the Sage installation.

It also installs a scilab_kernel module in Sage's Python, located in

$SAGE_ROOT/local/lib/python2.7/site-packages/scilab_kernel

Go edit line 93 of the file

$SAGE_ROOT/local/lib/python2.7/site-packages/scilab_kernel/kernel.py

and change it from

        executable = self.executable + ' -nw'

to

        executable = self.executable + ' -nwni'

Next time you launch Sage's Jupyter notebook server, you will be able to create Jupyter worksheets with the Scilab kernel, or to change kernel to the Scilab kernel in existing Jupyter worksheets.