11.41.1 Top new questions this week

11.41.1.1 Finding asymptotes of a function defined by a relation of two variables
11.41.1.2 What, if any, is the list analogue of KeyValuePattern?
11.41.1.3 Solving a coupled 2nd order differential equation numerically using NDSolve
11.41.1.4 $Assumptions set in init.m are reset back to True
11.41.1.5 how to improve the predictor corrector schemes including computational cost
11.41.1.6 How can I generate the $z^2$ grid-mapping diagram (rectangular grid  curved grid)?
11.41.1.7 Creating a spiral
11.41.1.1 Finding asymptotes of a function defined by a relation of two variables

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=317102

Based on this question, how does one analytically compute the asymptotes for the equation defined by: 
$$(x+y+2)(x+y)^2 = x+9y-2 ?$$ 
I can easily plot the curve... 
 
and can manipulate equation for ... 
[plotting] [series-expansion] [asymptote]
 
asked by David G. Stork https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=9735 Score of 3
answered by ydd https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=72953 Score of 3
11.41.1.2 What, if any, is the list analogue of KeyValuePattern?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=317076

I am trying to understand the function of  KeyValuePattern . According to the documentation, 
 
 KeyValuePattern[{patt1, ...}]  is a ... 
[replacement] [pattern-matching] [patternsequence]
 
asked by Andrew https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1185 Score of 3
answered by lericr https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84894 Score of 5
11.41.1.3 Solving a coupled 2nd order differential equation numerically using NDSolve

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=317107

I would like to solve the following system of differential equations numerically for two one-dimensional functions $R(x)$ and $\phi(x)$: 
\begin{eqnarray} 
c_1 \left(R''(x) - (\phi'(x))^2 R(x) \right) - ... 
[differential-equations] [equation-solving] [calculus-and-analysis] [numerical-integration] [finite-element-method]
                                                                                  

                                                                                  
 
asked by sap7889 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=99825 Score of 2
answered by bbgodfrey https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1063 Score of 5
11.41.1.4 $Assumptions set in init.m are reset back to True

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=317116

I set  $Assumptions  to something in  init.m . I followed it with printout to see that it was being set. However, once I get to my ... 
[assumptions] [initialization]
 
asked by Aharon Naiman https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=45626 Score of 2
11.41.1.5 how to improve the predictor corrector schemes including computational cost

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=317096

I am currently implementing a variable-order fractional predictorcorrector scheme in Mathematica. Since I am still a beginner with Mathematica programming, I encountered several issues during the ... 
[plotting] [differential-equations] [numerical-integration] [numerics]
 
asked by rabahi lahcene https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=112383 Score of 2
11.41.1.6 How can I generate the $z^2$ grid-mapping diagram (rectangular grid  curved grid)?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=317087

I would like to generate a diagram in Mathematica showing how the mapping 
\begin{equation} 
w = z^2 
\end{equation} 
transforms a rectangular grid in the complex $z$-plane into a curved grid in the $w$-... 
[plotting] [complex] [map]
                                                                                  

                                                                                  
 
asked by seeker https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=84918 Score of 2
answered by 138 Aspen https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=79318 Score of 5
11.41.1.7 Creating a spiral

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=317124

This is both a math question and a Mathematica question.  I am trying to draw a simple spiral, and found this diagram that fits what I am trying to create. 
 
Implementing the math, using Mathematica, I'... 
[graphics] [functions] [table]
 
asked by Tom De Vries https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=721 Score of 1
answered by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 3