11.5.2 Greatest hits from previous weeks

11.5.2.1 Crack CAPTCHA using deep learning
11.5.2.2 Plotting Complex Quantity Functions
11.5.2.3 Finding Limits in several variables
11.5.2.4 Help find a bright object on Mars!
11.5.2.5 Finding unit tangent, normal, and binormal vectors for a given r(t)
11.5.2.6 How can I plot implicit equations?
11.5.2.7 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 $W$
11.5.2.1 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 Score of 91
answered by xslittlegrass https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1364 Score of 100
11.5.2.2 Plotting Complex Quantity Functions

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=3458

Trying to plot with complex quantities seems not to work properly in what I want to accomplish. I would like to know if there is a general rule/way of plotting when you have complex counterparts in ... 
[plotting] [complex] [faq]
 
asked by night owl https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=116 Score of 42
answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 29
11.5.2.3 Finding Limits in several variables

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=21544

Is there a way to find a limit of a multivariable function, like 
 
$$\lim_{(x,y)\to (0,0)} f(x,y)$$ 
with Mathematica? 
 
When $f$ is continuous, we can use 
$$\lim_{(x,y)\to (0,0)} f(x,y)=\lim_{(x,0)\... 
[functions] [calculus-and-analysis]
 
asked by Dominic Michaelis https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=5899 Score of 34
answered by whuber https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=91 Score of 44
11.5.2.4 Help find a bright object on Mars!

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=11819

In today's news, scientists found a bright object on one of Curiosity's photos (it's near the bottom of the picture below). It's a bit tricky to find - I actually spent quite some time staring at the ... 
[image-processing]
 
asked by Victor K. https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1351 Score of 209
answered by Niki Estner https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=242 Score of 269
11.5.2.5 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 Score of 33
answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 48
11.5.2.6 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 Score of 43
answered by Timothy Wofford https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9391 Score of 46
11.5.2.7 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 Score of 8
answered by Alexei Boulbitch https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=788 Score of 15