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Questions tagged [mathematics]

For code that aims to solve problems in all branches of mathematics. (Please do NOT use this tag for incidental trivial use of arithmetic. A simple test to apply is: would an amateur or professional mathematician take an interest in the question?)

4
votes
5answers
89 views

Get n-th perfect number

The task: A number is considered perfect if its digits sum up to exactly 10. Given a positive integer n, return the n-th perfect number. For example, given 1, you should return 19. Given ...
3
votes
2answers
63 views

Finding the number of integers between 1 and K, who's sum of the digits is a multiple of D

Good day. So, I need to find the number of integers between 1 and K (inclusive) satisfying the following condition, modulo (10^9)+7: The sum of the digits in base ten is a multiple of D Here is my ...
4
votes
1answer
98 views

Automatic Differentiation with C++ Header-Only Library

Code review/feedback is requested and appreciated for the following open-source automatic differentiation C++ header-only library released under the Boost License. I am the author. https://github.com/...
7
votes
2answers
571 views

Balanced centrifuge configurations

Given an input N as the size of a centrifuge, I need to find out the number of balanced configurations. The full description is here. Centrifuge is a piece of ...
8
votes
1answer
195 views

Find “prime polynomials” for a user's given prime, bounds, and degree

Very amateur programmer and first-time poster here. The program I wrote asks the user for a prime number, a lower and upper bound, and a degree (all of these are integers). I want to generate a list ...
3
votes
2answers
60 views

Expressing positive integers as the sum of different charming numbers

In a practice academic interview of mine, we discussed question six, round one, of the United Kingdom Mathematics Trust's 2015 British Mathematical Olympiad. Which states: A positive integer is ...
4
votes
1answer
53 views

Hungarian algorithm to perform least-cost assignments

The Hungarian algorithm solves the assignment problem, and I'm looking for any suggestions regarding improvement on my implementation (also coding style). It is based on the wikipedia entry and ...
5
votes
1answer
420 views

Determinant using Gauss Elimination

We had a question in examination to compute determinant of general square matrix. Now I had made the normal program using Laplace Formula of determinant, ie, recursive solution. Now I was thinking of ...
2
votes
2answers
441 views

Generating all permutations of 1 digit, 2 equal letters and 2 different letters efficiently

I created a function that generates all the combinations of 1 digit, 2 equal letters and 2 different letters. I reduced the numbers and letters to make it more easy to calculate: ...
4
votes
2answers
234 views

Project Euler Problem 21 in Python: Summing amicable numbers

Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n). If d(a) = b and d(b) = a, where a ≠ b, then a and b are an amicable pair and each of a and b ...
5
votes
1answer
81 views

Generating all unlabeled trees with up to n nodes

I want to visualize all unlabeled trees with \$n\$ or fewer nodes, not just count them. First idea/attempt: Take a list of all \$n-1\$ node trees, then append a new leaf to every tree in every way to ...
0
votes
1answer
106 views

Project Euler problem 12 Python

I'm new to python and programming in general and I found Project Euler problems a good way to practice python. But my code is pretty slow. It seems to work, didn't wait long enough for the code to ...
8
votes
3answers
306 views

Draw sine wave going around a circle

I have used d3 to draw a sine wave going around a circle. This is the very first time I've used d3 or drawn a SVG and I'm fairly new to JS as well, so I don't know if I've overcomplicated it/if there ...
3
votes
1answer
75 views

Counting Divisors of a number with restrictions on the divisors

Given a fraction p/q, I want to count the number of unit fraction solutions $$\frac{p}{q} = \frac{1}{u} + \frac{1}{v}$$ with some contraints $$lower \le u \le upper$$ By manipulating the first ...
0
votes
0answers
21 views

Normal Distribution and K-means clustering demonstration

I have two classes, the 1st one aims to display the Normal Distribution, and the 2nd one aims to perform K-means clustering. The emphasis is to build classes of the mathematical methods as examples ...
7
votes
5answers
422 views

Add Two Numbers given in Reverse Order from a Linked List

Updated Question Problem Description You are given two non-empty linked lists representing two non-negative integers. The digits are stored in reverse order and each of their nodes contain a ...
3
votes
2answers
284 views

Find smallest number of squares that sum to a number

Leetcode problem 279 “Perfect Squares” is: Given a positive integer n, find the least number of perfect square numbers (for example, 1, 4, 9, 16, ...) I wrote the following solution: ...
1
vote
1answer
88 views

Project Euler 41 Generating Pandigital Numbers [closed]

Project Euler question 41: We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once. For example, 2143 is a 4-digit pandigital and is also prime. ...
1
vote
1answer
110 views

Scaling decimal numbers up within bounds of limit

This code is part of a simulation and inputs will be positive values less than one and inputs are constrained elsewhere. The goal of the algorithm is to scale the inputs up to much larger numbers, ...
2
votes
1answer
39 views

Grade of Service Probability Function Python

Consider the following typical probability scenario: I defined this function to handle that scenario, I'm curious if Python has a more efficient method to handle this, or if this is the best way: <...
6
votes
3answers
576 views

Calculator of combinations without repetition

I am interested to find an absolute value (not an approximation) of "combination without repetition" for given \$n\$ and \$k\$, or \$\binom{n}{k}\$. The brute force solution would look like this <...
8
votes
1answer
338 views

Lagrange Interpolation over quadrilateral points

I've been working on a program which calculates, given a point and 4 surrounding points, the Lagrange polynomial, in order to interpolate a value. Consider that I'm not a mathematician and I better ...
1
vote
2answers
158 views

Find coprime numbers less than n

I get the coprime numbers less than n with the following algorithm: ...
3
votes
3answers
112 views

Return the product of the pythagorean triplet if a+b+c == 1000

I have found the answer to the problem I am trying to solve, but I am curious if there can be any improvements made to my code. ...
7
votes
2answers
493 views

Class Matrix implementation

Following the 18.06 Linear algebra course, I was curious to reinvent the matrix class and basic functionality, like \$PA=LU \$ decomposition, Gauss elimination, finding inverse matrix etc. Any ...
2
votes
2answers
192 views

Math Problem generator using switch statement ,Random method and arrays in Java

I m new in java and created a small project in which you have to solve random math problems there is three levels in it Easy, Medium , Hard, if you win or loss in game the message for three level will ...
24
votes
7answers
5k views
6
votes
4answers
481 views

Pascal Triangle calculation with BigIntegers

On a well known programming challenges website(CW) there is a Kyu2 eggs height problem that can be solved utilizing a variation of Pascals Triangles properties. The problem asks to solve ...
5
votes
1answer
100 views

Convert numbers from base X to base Y

I recently wrote a piece of code to convert between two bases of X, (Where 26 > X > 0). I was mighty proud that I did this. And then I started wondering, am I using modern coding conventions/practices?...
4
votes
1answer
194 views

Method to return center items in a 2D array

I wish to have code that returns the center items of a 2d grid. Because I need an average value. The code I came up with does what I want (see the unit tests beneath it). But I think the code is ugly ...
3
votes
1answer
262 views

Circle - Line segment collision

I wrote an implementation of circle - line segment collision detection algorithm. Here is quick demonstration how it works: And here is my implementation in Javascript using HTML canvas: index.html ...
0
votes
3answers
235 views

Project Euler #12 (Highly divisible triangular numbers) in Python 3.x

I'm a beginner to programming and just started python, I've been trying to work through Project Euler challenges. I wrote a program to solve Project Euler #12, which asks for the smallest number of ...
4
votes
1answer
109 views

Math Vector Header Library Templated on Data Type and Size

I have created a vector math header library where the size and data type stored are template values, and I'd like it peer-reviewed please. I have a few main questions: Will using my SizedVectorBase ...
1
vote
1answer
72 views

Find GCD of two numbers without using multiplication, division or modulus operators

If either a or b is 0 return the other number. If both even return gcd of a/2 and b/2. If either a or b is even divide it by 2 and return gcd of the pair. If a less than or equal to b, return the gcd ...
3
votes
1answer
80 views

Trigonometric Subplots with Matplotlib

The code consists of 4 functions that result in a figure with 3 subplots: a sine wave a cosine wave and the superposition of both (a bichromatic wave). I have shown in 4 ways, the first two are ...
4
votes
4answers
767 views

Power of two integers

Challenge: Given a positive integer which fits in a \$32\$ bit signed integer, find if it can be expressed as \$A^P\$ where \$P > 1\$ and \$A > 0\$. A and P both should be integers. ...
5
votes
1answer
212 views

Matrix implementation with Rank and Inverse calculation using Gaussian Elimination in Java

Disclaimer Some things that I must state: This is just for practice. I want to know the various algorithms in linear algebra in detail. I will not use this in a practical scenario. Except for ...
3
votes
1answer
86 views

Sum the remainders of ai%aj given an array “a”

Given an array of numbers, I am creating a table where, the cell at the intersection of row i and column j contains a number ai % aj. Numbers in the array can occur multiple times. Example: For ...
2
votes
1answer
55 views

Make a given number by adding given numbers

I have created a code that checks if a number can be made by adding different quantities of given numbers and if so returns the quantities. Is this the best way to do this or is there a more efficient ...
5
votes
2answers
203 views

HackerRank - Non-Divisible Subset

In this problem we are asked: Given a set, S, of n distinct integers, print the size of a maximal subset, S', of where the sum of any two numbers in it is not evenly divisible by k. Code My ...
0
votes
1answer
139 views

Greedy adaptive dictionary (GAD) for supervised machine learning [closed]

For my project in machine learning supervised, I have to simplify a training-data and I have to use this technique at page 5 of the document. Pseudocode algorithm My code (numbers are the steps): <...
3
votes
1answer
588 views

First n Happy Numbers

I wrote a piece of code to generate a list of \$n\$ Happy Numbers, would love to see how I can write it better. More information below. ...
2
votes
0answers
229 views

Matrix inverse by elimination

Because I had trouble in finding a reliable source on the internet for the matrix inverse algorithm using Gaussian elimination, I wrote one myself. Matrix.h ...
3
votes
1answer
614 views

Find LCM of two numbers

The problem is to find LCM of two numbers. I have tried to solve the problem in two ways. First by using the LCM formula : LCM (a,b)= a*b/GCD(a,b). Second, by ...
7
votes
6answers
4k views

Check if a given number N is a power of k

I am trying to solve a problem to check whether a given number N is a power of k. Example: Input 9, 3 > True // 3**2 = 9 Input 10, 2 > False Input 4096, 16 > True // 16**3 = 4096 I want to know ...
1
vote
2answers
121 views

“Disease Spread” challenge

Right now I'm solving this problem on codewars.com. I'm not sure about how to optimise the code further. Or is my algorithm inefficient? If it's an algorithmic issue, could someone help me how to go ...
3
votes
2answers
117 views

Search for solutions to quartic diophantine equation

I wrote this code to find the variables that will satisfy the diophantine equation (i.e. a^4 + b^4 + c^4 = d^4), for all variables belong to: (0 , 430000), and it takes forever to find the answer (I ...
2
votes
3answers
198 views

Project Euler 6: Sum square difference in Functional Programming (FP)

I wanted to practice functional programming (fp) without using any library but using vanilla JS only. So I took a problem from Project Euler: The sum of the squares of the first ten natural numbers ...
1
vote
2answers
115 views

Modular sum of square numbers in C++

So I've got an assignment which sounds like this: Given a number n, calculate the result of this sum, modulo 10,234,573: 12 + 22 + 32 + … + n2 This is what I've come up with : ...
3
votes
1answer
72 views

Program that finds the stretch factor of a parabola

Being a newcomer to C++, I decided to write a simple program that would accomplish a simple task. I settled on writing a program that, given the vertex and point on a parabola, find the "stretch ...