8.35.2 Greatest hits from previous weeks

8.35.2.1 How to tell Mathematica that certain variables are real/imaginary, integer-valued, etc
8.35.2.2 Is there something like DensityPlot3D to visualize atomic orbitals?
8.35.2.3 How to generate a random snowflake
8.35.2.4 Finding unit tangent, normal, and binormal vectors for a given r(t)
8.35.2.5 Is Mathematica worth it for me?
8.35.2.6 How to calculate contour integrals with Mathematica?
8.35.2.7 How to graph a sphere with cartesian equations?
8.35.2.1 How to tell Mathematica that certain variables are real/imaginary, integer-valued, etc

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=66273

I'm trying to expedite some quantum mechanical calculations (expectation values etc.) by running them through Mathematica. When I say, for example, 
... 
[functions] [complex] [assumptions] [variable-definitions]
 
asked by Matthew Brunetti https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=22304 Score of 52
answered by SquareOne https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=19960 Score of 34
8.35.2.2 Is there something like DensityPlot3D to visualize atomic orbitals?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=32378

I'm visualizing some hydrogen like atomic orbitals.  For looking at plane slices of the probability density, the  DensityPlot  function works well, and with something ... 
[plotting] [physics] [chemistry]
 
asked by Peeter Joot https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10 Score of 45
answered by xslittlegrass https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1364 Score of 26
8.35.2.3 How to generate a random snowflake

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=39361

'Tis the season... 
And it's about time I posed my first question on Mathematica Stack Exchange. 
So, here's an holiday quest for you Graphics (and P-Chem?) gurus. 
 
What is your best code for generating ... 
[graphics] [random] [simulation] [generative-art]
 
asked by Peltio https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=6745 Score of 148
answered by Silvia https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=17 Score of 186
8.35.2.4 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 32
answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 47
8.35.2.5 Is Mathematica worth it for me?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=100072

I'm 13 years old and in 7th grade. I'm currently in Algebra 1, and I have fallen in love with both math and programming. 
 
When I came upon Mathematica, it was awesome. My two favorite things fused ... 
[programming] [education]
 
asked by Nico A https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=35769 Score of 83
8.35.2.6 How to calculate contour integrals with Mathematica?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=34073

How to calculate the integral of $\frac{1}{\sqrt{4 z^2 + 4 z + 3}}$ over the unit circle counterclockwise for each branch of the integrand? 
[calculus-and-analysis] [complex]
 
asked by user64494 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7152 Score of 43
answered by Artes https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=184 Score of 67
8.35.2.7 How to graph a sphere with cartesian equations?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=24169

I'm new to Mathematica and I need to ask how to graph a sphere, cylinder, etc.. using cartesian equations. 
 
For example in sphere's case $x^2+y^2+z^2=1$ 
 
I tried to use ... 
[plotting]
 
asked by German https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7145 Score of 8
answered by Dr. belisarius https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=193 Score of 14