4.39.3 Can you answer these questions?

4.39.3.1 Memoization of built in function
4.39.3.2 Can't import Gluon into mma
4.39.3.3 NIntegrate and definite Integrate give different results
4.39.3.1 Memoization of built in function

https://mathematica.stackexchange.com/questions/157429/memoization-of-built-in-function

 
What is the best way to let mathematica memoize built-in function like e.g. 
 
SphericalHarmonicY[l,m,th,ph] 
 
 
One possibility would be for sure: 
 
sphericalHarmonicY[l_,m_,th_,ph_]:=  ...
 
- asked by Mr Puh 3votes
4.39.3.2 Can't import Gluon into mma

https://mathematica.stackexchange.com/questions/157466/cant-import-gluon-into-mma

 
This is a simple DNN from Fast, portable neural networks with Gluon HybridBlocks: 
 
This is json file and params file of Gluon(MXNet) 
 
import mxnet as mx 
from mxnet.gluon import nn 
print("mxnet  ...
 
- asked by partida 4votes
4.39.3.3 NIntegrate and definite Integrate give different results

https://mathematica.stackexchange.com/questions/157300/nintegrate-and-definite-integrate-give-different-results

 
Suppose the function 
 
f[x_,q_]=(15876 Exp[-0.527076 q^2] (x^2-2 x+2) SphericalBesselJ[1,5 q]^2 (q^2-8100 x^2))/(3425*Pi*q^5*x); 
 
 
I need to perform the integration over q in the domain  ...
 
- asked by John Taylor 1vote