the difference is, that var(..) itself already injects a variable with that
name into the global namespace, where the other one is an assignment.
i.e.
z = var('y')
gives you a variable y (named "y") and a variable z with the name "y"
sage: z = var('y')
sage: z
y
sage: y
y
you can also create invalid variable names, i.e. the ones starting with a
number:
sage: var('2x')
2x
sage: 2x
------------------------------------------------------------
File "<ipython console>", line 1
2x
^
SyntaxError: invalid syntax
sage: globals()['2x']
2x
sage: type(globals()['2x'])
<type 'sage.symbolic.expression.Expression'>
H
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