All Questions
Tagged with mathematics python
202
questions
6
votes
3
answers
1k
views
Implementation of Euler-Maruyama numerical solver
I am trying to write a python implementation of Euler-Maruyama and Milstein schemes for numerically solving stochastic differential equations. The pseudo-code for the algorithms is in the Wikipedia ...
- 397
5
votes
3
answers
909
views
Optimizing Pi Estimation Code
I'm trying to write a program in Python that estimates pi, but to get a more accurate estimation in a feasible amount of time, I want to make it faster.
I'm using a method that estimates the area of ...
4
votes
1
answer
63
views
Array Math to Calculate Ice Thickness -- Need Help Simplifying
I posted this on Stack but since it's working code, it was suggested I post it here. I wrote this code to calculate ice thickness using the following equation from Stephenson, 2011.
It's a daily ...
- 41
2
votes
2
answers
77
views
Can I make my percolation in python function more efficient?
We've been tasked with finding out how many randomly distributed discs with radius = 1 it takes to form a chain of discs from the left side to the other of a square with side length = sqrt(n), and ...
- 23
2
votes
1
answer
132
views
Multithreaded sparse linear solver in Python
I would like to know if there are any multithreaded sparse linear solvers for LU decomposed sparse matrices.
I want to increase the solving speed of a system like:
...
- 29
6
votes
4
answers
436
views
Optimal Solution for the Four Divisors Problem on LeetCode
I recently encountered the Four Divisors problem on LeetCode and managed to achieve a 100% beat rate with my solution. I'd like to share it with you all and gather feedback on its effectiveness and ...
- 67
1
vote
1
answer
261
views
Implementing Preconditioned conjugate gradient
I have implemented the Preconditioned Conjugate Gradient (PCG) method for solving a system of linear equations in Python and I would appreciate it if someone could verify its correctness since I am ...
- 29
2
votes
1
answer
256
views
Python integer optimization with PuLP involving polynomials that I think can be faster
I have a problem where we are given multivariate polynomials in variables like y_i and z_j and the goal is to express them as sums of products of terms of the form y_i-z_j with nonnegative integer ...
- 225
3
votes
1
answer
350
views
Python function to find the count of digits of numerals in base n up to a given limit
This is a simple exercise to find the count of digits of all numerals in a given base up to a given limit (not including the limit), I wrote it to determine the ratio of bytes saved when the numbers ...
- 3,178
-2
votes
1
answer
185
views
Design an algorithm to predict words based on a skeleton from a given dictionary
The model I'm building first selects a secret word at random from a list. The model which uses an API then returns a row of underscores (space separated)—one for each letter in the secret word—and ...
- 232
5
votes
1
answer
287
views
Identify distance degeneracies on square and hexagonal lattices
I have an interest in how the number of ways you can reach from the origin to a certain distance on both square and hexagonal lattices. If L is the square of the distance and integer pairs (i, j) are ...
- 473
2
votes
0
answers
82
views
Python script that generates images using Thue-Morse sequence
In mathematics, the Thue–Morse sequence, or Prouhet–Thue–Morse sequence, is the binary sequence (an infinite sequence of 0s and 1s) obtained by starting with 0 and successively appending the Boolean ...
- 3,178
1
vote
2
answers
585
views
Removing Elements from an Array Based on a Second Array
I've written a function that takes two arrays of integers as input and removes all the elements in the first array that are also present in the second array. I would like to share my code with you and ...
- 523
1
vote
1
answer
52
views
Optimizing the Dig Pow function
I have written a Python function to solve the Dig Pow problem, where the goal is to find a number k such that the sum of each digit of n raised to a specific and ...
- 523
2
votes
1
answer
82
views
Readable Backprogragation calculations in Numpy Neural Network
As an exercise we should write a small Neural Network with the following structure:
There should be additionally a bias for each layer and sigmoid should be used as the activation function.
The ...
- 51
0
votes
1
answer
176
views
Graph function in console
I created a program for drawing graphs of functions and want to hear ideas on "how to improve this program", because I'm only starting to write programs in Python. Would be very good to hear ...
- 91
1
vote
1
answer
66
views
Fixing math library functions in Black-Scholes options pricing model
I've amended a code for the Black-Scholes formula for European pricing options found here at the bottom of the page and fixed the math functions accordingly. Unlike the code on the website, mine has ...
- 113
2
votes
1
answer
286
views
Finite difference estimation of partial derivatives for arbitrary grids in python
I am currently working on testing some codes on python to solve differential equations by finite differences, but some problems and equations i am dealing with are:
Too big to keep manually writing ...
- 123
6
votes
4
answers
2k
views
Find all ways to express each of a list of even numbers as the sum of 2 positive, even numbers
This code was a challenge from a friend. Essentially she wanted a way to
"Divide an even number into 2 even numbers."
So I made this quick and dirty Python program to find the solutions up ...
2
votes
2
answers
1k
views
Solving the TDoA multilateration problem in 3-dimensions
Background.
I've written an algorithm to solve the Time Difference of Arrival (TDoA) multilateration problem in 3-dimensions. That is, given the known coordinates of ...
- 295
1
vote
2
answers
548
views
Calculates the multiplicative persistence of a given number // Returns the smallest number with a given level of MP (Numberphile Challenge)
I was watching this Numberphile video: https://youtu.be/Wim9WJeDTHQ on multiplicative persistence (multiplying digits of a number over and over until one digit remains). I decided to take up the ...
3
votes
1
answer
424
views
Find perfect squares within a given range
I managed to make this work without breaking the program if you enter some weird numbers in the range. The thing is I know this could have been done simpler and smarter. I can't really see how right ...
3
votes
1
answer
180
views
Applying a cost function to a string based on a pattern string
I have a cost function Cost_Func(pt,STRING) that calculates value in a specific way based on the given pattern string pt and ...
- 133
0
votes
1
answer
242
views
Optimizing a program that checks through a very large set of permutations
I'm not sure if this is the correct place for an optimization question like this, but I'm not even sure where to start looking. So here it goes.
There's this game I play that has very simple rules. ...
- 109
3
votes
1
answer
556
views
(Google Foobar XOR Checksum Challenge) How do i optimize this function to run for much larger values?
I wrote a function that accepts 2 integers start and length as input and returns the bitwise XOR of certain numbers as described below:
...
- 39
0
votes
1
answer
70
views
Generating floats from integers
I wanted to make an algorithm that is a counter-example of Cantor's diagonalization argument. Given an integer, this Python code will produce a unique rational number. Fed the sequence of positive and ...
- 451
5
votes
1
answer
67
views
Exploring the space of 8 parameters of a physics problem to then be evaluated in ODE integrator as LSODA millions of times, efficently
there's a function in one of the scripts I've been working on that I really want to improve.
Disclaimer: Being honest, I'm not really very good at programming but I've been learning day to day and it'...
- 163
2
votes
0
answers
217
views
Maximizing Efficiency of Collatz Conjecture Program Python
My question is very simple.
I wrote this program for pure entertainment. It takes a numerical input and finds the length of every Collatz Sequence up to and including that number.
I want to make it ...
- 41
5
votes
1
answer
128
views
Find the mean magnitude of values inside unit circle
I'm fairly new to Python and am exploring how to fix functions and make code 'more effective and readable'. As a first step, I would want to try to make shorter snippets of code here - for example by ...
- 51
0
votes
3
answers
85
views
Print greatest factor if it is same for both numbers
Take input n1 and n2 and check if they have the same greatest factor. If they do, print that factor. If they don't, print "No".
example:
input:
6
9
output:
3
input:
15
27
output:
No
...
- 11