E**(i*pi)=-1 or e**(j*pi)=-1, something I found out in Python using part of Eulers Identit equation. Post: 303042083

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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

12-13-2019

Registered User

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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py3compile

PY3COMPILE(1)                                                                                                                        PY3COMPILE(1)

NAME

       py3compile - byte compile Python 3 source files

SYNOPSIS

          py3compile [-V [X.Y][-][A.B]] DIR_OR_FILE [-X REGEXPR]

          pycompile -p PACKAGE

DESCRIPTION

       Wrapper around Python standard library's py_compile module to byte-compile Python 3 files.

OPTIONS

       --version
              show program's version number and exit

       -h, --help
              show this help message and exit

       -f, --force
              force rebuild of byte-code files even if timestamps are up-to-date

       -O     byte-compile to .pyo files

       -q, --quiet
              be quiet

       -v, --verbose
              turn verbose mode on

       -p PACKAGE, --package=PACKAGE
              specify Debian package name whose files should be bytecompiled

       -V VRANGE
              force  private  modules to be bytecompiled with Python 3 version from given range, regardless of the default Python 3 version in the
              system. If there are no other options, bytecompile all public modules for installed Python 3 versions that match given range.   VER-
              SION_RANGE examples:

                 o 3.1    version 3.1 only,

                 o 3.1-   version 3.1 or newer,

                 o 3.1-3.3        version 3.1 or 3.2,

                 o -4.0   all supported 3.X versions

       -X REGEXPR, --exclude=REGEXPR
              exclude items that match given REGEXPR. You may use this option multiple times to build up a list of things to exclude

AUTHOR

       Piotr Oarowski, 2012-2013

                                                                                                                                     PY3COMPILE(1)