4.3.3 Can you answer these questions?

4.3.3.1 Amelioration of a Karush-Kuhn-Tucker nice code

http://mathematica.stackexchange.com/questions/135220/amelioration-of-a-karush-kuhn-tucker-nice-code

 
In what concerns the resolution of a Karush-Kuhn-Tucker condition, this wonderful code borrowed to Parreiras (The Mathematica Journal 16 2014) which is a correction of another code by Kampas (The  ...
 

- asked by cyrille.piatecki 4votes

4.3.3.2 URLDownload aborts prematurely

http://mathematica.stackexchange.com/questions/135355/urldownload-aborts-prematurely

 
So I've been trying to automate the download and build of various large packages for hooking Mathematica into extensions but the downloads continually finish prematurely. 
 
Edit: first example was just  ...
                                                                                  

                                                                                  
 

- asked by MB1965 2votes

4.3.3.3 Simplify an integer expression involving Ceiling and Root[] of third degree polynomial

http://mathematica.stackexchange.com/questions/135566/simplify-an-integer-expression-involving-ceiling-and-root-of-third-degree-poly

 
I would like to simplify the following expression 
 
Ceiling[ToRadicals[Root[90 - 6 num + 65 #1 + 12 #1^2 + #1^3 &, 1]]] 
 
 
with num an integer greater than or equal to 16. I tried using  ...
 

- asked by Piruzzolo 1vote

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