On Thursday, September 25, 2014 2:48:41 PM UTC-5, kcrisman wrote:
>
> > 
>> > And it was quite likely Pascal being learnt on paper. 
>>
>> For what it is worth, my first programming language was C learned on 
>> paper, probably around 1981.  
>>
>>
>   But probably not ideal to go from paper to production in just a few 
> weeks along with your other coursework!
>
 

>   They are really cool and don't need much more than paper and pencil, or 
> in one case small cups that can stack.  Worth a peek.
>

Ok, here's my paper-math tale from the days of walking uphill both ways:  
Symbolic integration couldn't help solve this naive physical chemist's 
applied spectroscopy problems. Cut-and-weigh-the-chart-paper gave reliable 
peak areas every time.  Sure beat counting boxes...

Now I can melt students' brains with peak area ratios to 4 significant 
digits obtained using scissors and a balance. (When did I turn into my 
father?)

My students are ever grateful for not having to show spherical harmonics 
are orthonormal by hand. I am, too! Sage turns them on to new ways of 
exploring old problems. Maybe some new problems, too.

Thanks,
Steve

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