12.14.1 Top new questions this week

12.14.1.1 How to better visualize small differences between two nearly overlapping curves in ListLogLogPlot?
12.14.1.2 Parametric solution tracking for a polynomial system in Mathematica
12.14.1.3 Visualizing relationships between variables stored as replacement-rule lists
12.14.1.4 Controlling behavior of Simplify for exponential and square roots?
12.14.1.5 Why does DiracDelta make the difference between RealAbs and Abs?
12.14.1.6 For a given function, how do I create an association with values that are functions for the first two derivatives of the function?
12.14.1.7 DSolve gives solution to first order ode which seems not to satisfy the initial condition
12.14.1.1 How to better visualize small differences between two nearly overlapping curves in ListLogLogPlot?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=319444

Given the following two tables 
... 
[plotting] [graphics] [visualization] [logplot]
 
asked by phy_std https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=98622 Score of 10
answered by SHuisman https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=66987 Score of 3
12.14.1.2 Parametric solution tracking for a polynomial system in Mathematica

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=319451

I am working with the following system of four equations  jointPolynomails==0  where (all variables  x1,..,x10  are real and ... 
[plotting] [equation-solving] [polynomials] [parametric-functions] [numerical-methods]
 
asked by phy_std https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=98622 Score of 7
answered by Cesareo https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=62129 Score of 1
12.14.1.3 Visualizing relationships between variables stored as replacement-rule lists

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=319447

I have several solution sets stored as lists of 10 real variables (effectively 9, since x3 is always zero): 
... 
[plotting] [list-manipulation] [visualization] [replacement-rules] [functional-programming]
 
asked by phy_std https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=98622 Score of 6
12.14.1.4 Controlling behavior of Simplify for exponential and square roots?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=319410

I want to simplify the following expression 
$e^{-\frac{1}{2}k u}\sqrt{e^{k u}+e^{p k u}}\equiv\sqrt{1+e^{(p-1) k u}}$ 
For me, at least, obviously the right hand side expression is much cleaner, as it ... 
[simplifying-expressions]
 
asked by Hojin Cho https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=29247 Score of 5
answered by azerbajdzan https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=53172 Score of 6
12.14.1.5 Why does DiracDelta make the difference between RealAbs and Abs?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=319440

The functions  Abs  and  RealAbs  coincide for all real  x 
... 
[diracdelta]
 
asked by user64494 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=7152 Score of 4
answered by ubpdqn https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=1997 Score of 10
12.14.1.6 For a given function, how do I create an association with values that are functions for the first two derivatives of the function?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=319420

I'd like to store a list of functions that are derivatives of a given function. 
This is a working example of what I want 
 f = Function[{x,y},Exp[y x]] 
 
then 
... 
[functions] [associations] [hold]
 
asked by Craig Carter https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=12461 Score of 4
answered by karl https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=113926 Score of 8
12.14.1.7 DSolve gives solution to first order ode which seems not to satisfy the initial condition

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=319414

This is from my school textbook. 
 ode = (Cos[y[x]] + y[x]*Cos[x]) + (Sin[x] - x*Sin[y[x]])*y'[x] == 0 
ic = y[0] == -1; 
 
It is exact first order ode.  Mathematica V ... 
[differential-equations] [calculus-and-analysis]
 
asked by Nasser https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=70 Score of 3
answered by Michael E2 https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=4999 Score of 7