[Edu-sig] some new open source Python writing (Jupyter Notebooks)

[Wes Turner]

+1 for defining multiplication as a tensor product.

I made it though more than 15 years of school before I learned that matrix
multiplication is actually the tensor product (with broadcasting):

https://en.wikipedia.org/wiki/Tensor_product

The Theano docs explain tensors and tensor broadcasting:

http://deeplearning.net/software/theano/tutorial/broadcasting.html

http://deeplearning.net/software/theano/library/tensor/basic.html#operator-support

( https://keras.io/#getting-started-30-seconds-to-keras does tensors with
TensorFlow, Theano, CNTK, but not yet xtensor. )

The product (__mul__) operator (a binary operator) can be defined in lots
of ways; both in Python and in mathematics: with linear algebra, we mean
"scalar multiplication" (with standard broadcasting)

https://en.wikipedia.org/wiki/Product_(mathematics)#Scalar_multiplication

On Monday, September 4, 2017, Wes Turner <wes.turner at gmail.com> wrote:

> Re: dimensional analysis and units
>
> - pint does units:
>   https://github.com/hgrecco/pint
>   https://github.com/hgrecco/pint/blob/master/pint/default_en.txt
>
> - CSVW can handle units (with QUDT URIs)
>   - {CSV, JSON,} don't include support for datatypes or units
>   - ( Spreadsheet tools should handle units (and significant digits) just
> as well as they handle columnar/series/range text formatting.
> #LinkedReproducibility )
>
> On Monday, September 4, 2017, Wes Turner <wes.turner at gmail.com
> <javascript:_e(%7B%7D,'cvml','wes.turner at gmail.com');>> wrote:
>
>>
>>
>> On Monday, September 4, 2017, kirby urner <kirby.urner at gmail.com> wrote:
>>
>>> PS:
>>>
>>> my recent exercises in teaching math with Python, ala Peter Farrell, is
>>> sparking some heated debate on math-teach.
>>>
>>> http://mathforum.org/kb/thread.jspa?threadID=2876811  (especially in
>>> recent days, early September 2017)
>>>
>>> Bob Hansen is trashing this writing as some of the worst pedagogy he's
>>> ever seen.
>>>
>>> I'm trying to incorporate some of his feedback in my latest revisions.
>>>
>>
>> Maybe a bit OT:
>>
>> I've wondered whether we could/should instead start mathematics education
>> with bits as entropy (information theory first)?:
>>
>> - base 2: 00, 01, 10, 11 (on our hands (2**?))
>> - counting
>> - ASCII (0-127)
>>   - how do we know the number represents an integer or a character? ...
>> Encoding, Types
>>   - The number zero is actually # (code point): ___
>> - Unicode
>> - class SpecialString(str)
>>
>>
>> - Binary and then floating point arithmetic
>>   - unary, binary operators
>>     - import operators: sorted(dir(operators))
>>   - left and right shift
>>   - multiplication as repeated addition
>>   - long division
>>     - floating point (error, BigFloat)
>>     - symbolic mathematics
>>       - MathJax, LaTeX (how to even type this?)
>>       - CAS: SymPy, latex2sympy
>>
>> - Entropy
>>   - Independence of observations
>>   - Maximum Information
>>
>> ...
>>
>> class Shape
>> class Quadrilateral
>> class Rectangle
>> class Square
>> class Triangle
>> class RightTriangle
>> def perimiter
>> def area
>> def vertexes
>>
>> def scale
>> def rotate
>>
>> class PlatonicSolid
>>
>> ...
>>
>> Are there computer science & mathematics curricula like this (that start
>> with entropy)?
>>
>>
>>
>>> Our debates are reminiscent of some we've had here on this list in years
>>> gone by.
>>>
>>> I've also been chronicling my progress in this related thread:
>>>
>>> http://mathforum.org/kb/thread.jspa?threadID=2877392
>>>
>>> Kirby
>>>
>>>
>>>
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