3.16.1 Top new questions this week

3.16.1.1 Why removing a function and defining it on the same line does not work?
3.16.1.2 House of Santa Claus
3.16.1.3 how to get cell boundaries in the image
3.16.1.4 Numerically solve the initial value problem for the 1-D wave equation
3.16.1.5 Dataset Processing: efficient ways to clean and merge sets for Life Sciences
3.16.1.6 Rotations of a number
3.16.1.7 What's wrong with the Sum function?
3.16.1.1 Why removing a function and defining it on the same line does not work?

http://mathematica.stackexchange.com/questions/128818/why-removing-a-function-and-defining-it-on-the-same-line-does-not-work

 
Why do the two pieces of code below yield rather different results? The only difference is that in the first one the function definition is in the same line as the Remove command while in the second  ...
 

- asked by Fernando Saldanha (17 votes), answered by dan7geo (16 votes)

3.16.1.2 House of Santa Claus

http://mathematica.stackexchange.com/questions/128741/house-of-santa-claus

 
The house of Santa Claus is an old German drawing game for small children. 
You have to draw a house in one line. 
You must not lift your pencil while drawing. $\color{red}{\text{You must not repeat a  ...
 

- asked by mrz (15 votes), answered by Dr. Wolfgang Hintze (9 votes)

3.16.1.3 how to get cell boundaries in the image

http://mathematica.stackexchange.com/questions/128596/how-to-get-cell-boundaries-in-the-image

 
I have a microscope image of some animal tissue and wish to get the contours for all the cells that are present in the image. the cells are connected to the neighbouring cells via these contours. At  ...
 

- asked by Ali Hashmi (10 votes), answered by corey979 (13 votes)

3.16.1.4 Numerically solve the initial value problem for the 1-D wave equation

http://mathematica.stackexchange.com/questions/128516/numerically-solve-the-initial-value-problem-for-the-1-d-wave-equation

 
I want to solve the standard 1-dimensional wave equation $y_{xx}=y_{tt}$ using NDSolve (for $y(x,t)$) with the following conditions: 
 
cond1 = Piecewise[{{1 - Abs[x - 1], Abs[x - 1] < 1}, {0, Abs[x  ...
 

- asked by arcbloom (8 votes), answered by xzczd (7 votes)

3.16.1.5 Dataset Processing: efficient ways to clean and merge sets for Life Sciences

http://mathematica.stackexchange.com/questions/128519/dataset-processing-efficient-ways-to-clean-and-merge-sets-for-life-sciences

 
Dataset Processing (for Life Sciences) 
 
Note: a related, but distinct task is posted here ID Swapping: Efficient use of a reference table to convert ID values. 
 
A common task, at least for me,  ...
 

- asked by SumNeuron (8 votes), answered by SumNeuron (5 votes)

3.16.1.6 Rotations of a number

http://mathematica.stackexchange.com/questions/128666/rotations-of-a-number

 
If we start with a number like 1234 and produce the following sum 1234 + 123 + 12 + 1 = 1370. 
 
If we are given the 1370 can I retrieve the 1234? A similar question was migrated over to the Math.SE  ...
 

- asked by bobbym (8 votes), answered by J. M. (6 votes)

3.16.1.7 What's wrong with the Sum function?

http://mathematica.stackexchange.com/questions/128534/whats-wrong-with-the-sum-function

 
Here are the codes: 
 
f[n_]:=Sum[1,{K,0,n},{M,0,n-K},{La,0,K},{Lb,0,n-K-M},{Lc,0,M}]//Simplify 
 
g[n_]:=Sum[1,{La,0,n},{Lb,0,n-La},{Lc,0,n-La-Lb},{K,La,n-Lb},{M,Lc,n-K-Lb}]//Simplify 
 
f[x]/.x->5 
 
...
 

- asked by lamberto (7 votes), answered by Bob Hanlon (3 votes)