erfc | Complementary error function | Architecture library

I am computing value of normal distribution cdf in two ways:

1. Using scipy library:

I have a function which I would like to integrate for x between -Inf and Inf. I'm using the function integrate in R. However, I do get an error saying Non-finite function value.

So i want to calculate integral of exp(-ax^2-bx-c) assuming that a>0, b>0, c>0 using sympy.

So i done this:

I tried asking this question before and rightfully was informed I need to provide a fully working example so others can reproduce my result and then give guidance.

Here is a shortened version of my code for parsing the file. The point of readFileToStrings is to save the file into seperate strings based on the patterns [Atoms], [GTO], and [MO].

I am trying to fit an exponentially modified gaussian function to some data. Data provided at top.

I have the following code:

I am trying to find the correlation function of the following stochastic process: where beta and D are constants and xi(t) is a Gaussian noise term.

After simulating this process with the Euler method, I want to find the auto correlation function of this process. First of all, I have found an analytical solution for the correlation function and already used the definition of correlation function to simulate it and the two results were pretty close (please see the photo, the corresponding code is at the end of this post).

(Figure 1)

Now I want to use the Wiener-Khinchin theorem (using fft) to find the correlation function by taking the fft of the realizations, multiply it with its conjugate and then find take the ifft to get the correlation function. But obviously I am getting results that are way off the expected correlation function, so I am pretty sure there is something I misunderstood in the code to get this wrong results..

Here is my code for the solution of the stochastic process (which I am sure it is right although my code might be sloppy) and my attempt to find the autocorrelaion with the fft:

I am converting a C++ code to python code using SWIG on MAC OS. I used SWIG before but now I have some bug that I did not succeed to manage. So for using SWIG, I created a file RBergomi.i and applied the following commands

swig -c++ -python RBergomi.i

g++ -O2 -fPIC -c -std=c++11 RBergomi_wrap.cxx -I/Users/.../anaconda/include/python2.7

g++ -std=c++11 -shared RBergomi_wrap.o -o RBergomi.so

but I get this error

"ld: symbol(s) not found for architecture x86_64

clang: error: linker command failed with exit code 1 "

I tried to look for the issue and it seems that the error is coming from using std::accumulate, which to use I need to call "numeric" header and then I have the issue. if I remove the header "numeric" I do not have the previous error anymore but accumulate is not known. Below the code of my RBergomi.cpp file

i run jq v1.6 on Windows 10,

my input is "2009-12-20 08:00:00" and i want to get the Day of Week.

my test filter is ("2009-12-20 08:00:00" | sub(" "; "T") + "Z" | fromdate | gmtime) but all i get is an error:

jq: error: strptime/1 not implemented on this platform

Tried so many things, but nothing worked.

builtins returns the relevant functions:

I'm parsing a vector of tokens, each of enum type. This means I get a lot of code like: