6.19.2 Greatest hits from previous weeks

6.19.2.1 How can I plot implicit equations?
6.19.2.2 My Girlfriend is going to prison...Save her with Math
6.19.2.3 Image processing: Floor plan - detecting rooms' borders (area) and room names' texts
6.19.2.4 Crack CAPTCHA using deep learning
6.19.2.5 Solving $L=\frac 3  2  \sqrt 4 \pi ^2 A^2+W^2 -\frac \sqrt 5 W \sqrt 4 \pi ^2 A^2+W^2 +6 \pi ^2 A^2+3 W^2   \sqrt 2  +\frac 3 W  2 $ for $W$
6.19.2.6 Entering numbers in Scientific Notation?
6.19.2.7 Finding unit tangent, normal, and binormal vectors for a given r(t)
6.19.2.1 How can I plot implicit equations?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=34668

If you enter the following into Wolfram | Alpha, you get nice graphs: 
 
 graph 4 x^4 + y^2 = 2 
 
How do you do this in Mathmatica? I realize that these are not ... 
[plotting] [faq]
 
asked by Rollie https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10174 36 votes
answered by Timothy Wofford https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9391 38 votes
6.19.2.2 My Girlfriend is going to prison...Save her with Math

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=135937

Salacious title, but true story. 
 
... 
[plotting] [interpolation] [modeling]
 
asked by Prisoners Dilema https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=46025 42 votes
answered by bobthechemist https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7167 23 votes
6.19.2.3 Image processing: Floor plan - detecting rooms' borders (area) and room names' texts

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=19546

Here is a simple building floor plan. I would like to derive the rooms as (rectangular) components and the names of the rooms. This is very common representation of building floor plans. 
 
The problem 
 
... 
[image-processing]
 
asked by s.s.o https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=840 64 votes
answered by Niki Estner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=242 59 votes
6.19.2.4 Crack CAPTCHA using deep learning

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=143691

Deep convolutional neural networks are very good at computer vision related tasks. Optical Character Recognition (OCR) is one important branch of computer vision. In fact, the convolution neural ... 
[machine-learning] [neural-networks] [ocr]
 
asked by xslittlegrass https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1364 87 votes
answered by xslittlegrass https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1364 98 votes
6.19.2.5 Solving $L=\frac 3  2  \sqrt 4 \pi ^2 A^2+W^2 -\frac \sqrt 5 W \sqrt 4 \pi ^2 A^2+W^2 +6 \pi ^2 A^2+3 W^2   \sqrt 2  +\frac 3 W  2 $ for $W$

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=57763

When I solve the aforementioned equation for $W$ or $A$ on Mathematica I get a long and ugly equation in return, namely one of the solutions for $W$ is: (attempt to read at your own health) 
 
... 
[equation-solving] [functions] [approximation]
 
asked by J.D'Almbert https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19257 8 votes
answered by Alexei Boulbitch https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=788 15 votes
6.19.2.6 Entering numbers in Scientific Notation?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=36792

I need to play with a lot of powers such as  10^-3 .  1E-3  does not work for it. Is there any short form for it? 
[number-representation]
 
asked by hhh https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=2000 59 votes
answered by Joe https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=44710 1 vote
6.19.2.7 Finding unit tangent, normal, and binormal vectors for a given r(t)

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=18598

For my Calc III class, I need to find $T(t), N(t)$, and $B(t)$ for $t=1, 2$, and $-1$, given $r(t)=\{t,t^2,t^3\}$. 
 
I've got Mathematica, but I've never used it before and I'm not sure how to coerce ... 
[equation-solving] [calculus-and-analysis] [geometry] [vector-calculus] [homework]
 
asked by a98 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5605 30 votes