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Top Forums Programming E**(i*pi)=-1 or e**(j*pi)=-1, something I found out in Python using part of Eulers Identit equation. Post 303042083 by wisecracker on Friday 13th of December 2019 01:54:58 PM
Old 12-13-2019
E**(i*pi)=-1 or e**(j*pi)=-1, something I found out in Python using part of Eulers Identit equation.

Well guys and gals I have discovered after all these years that Python does complex numbers without the 'complex()' function or 'cmath' import.
It is well known that Euler's Identity E**(i*pi)+1=0 so I decided to experiment
Code:
Last login: Fri Dec 13 18:27:30 on ttys000
AMIGA:amiga~> python3.8
Python 3.8.0rc1 (v3.8.0rc1:34214de6ab, Oct  1 2019, 12:56:49) 
[Clang 6.0 (clang-600.0.57)] on darwin
Type "help", "copyright", "credits" or "license" for more information.
>>> pi=3.14159265359
>>> e=2.71828182846
>>> 
>>> e**(pi*1j)
(-1-1.31038479358762e-12j)
>>> exit()
 AMIGA:amiga~> _

As you can see within the limitations of the floating point accuracy e**(pi*1j)=-1.
We all live and learn and it also works for Python 1.4.0 for the AMIGA.

Last edited by wisecracker; 12-13-2019 at 03:02 PM.. Reason: Added last two lines.
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PYDOC(1)						    BSD General Commands Manual 						  PYDOC(1)

NAME
pydoc -- the Python documentation tool SYNOPSIS
pydoc name pydoc -k keyword pydoc -p port pydoc -g pydoc -w module ... pydoc --help DESCRIPTION
pydoc shows text documentation on something related to python(1). The name argument may be the name of a Python keyword, topic, function, module, or package, or a dotted reference to a class or function within a module or module in a package. If name contains a '/', it is used as the path to a Python source file to document. If name is 'keywords', 'topics', or 'modules', a listing of these things is displayed. OPTIONS
-k keyword Search for a keyword in the synopsis lines of all available modules. -p port Start an HTTP server on the given port on the local machine. -g Pop up a graphical interface for finding and serving documentation. -w module ... Write out the HTML documentation for a module to a file in the current directory. If module contains a '/', it is treated as a filename; if it names a directory, documentation is written for all the contents. --help Prints out a help message. AUTHOR
Moshe Zadka, based on "pydoc --help" SEE ALSO
python(1) Dec 19, 2003
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