Solved

Composite Trapezoidal Rule for Numeric Integration
Use the trapezoidal rule to numerically integrate a function, _f(x)_, passed as the first argument, between upper and lower limi...

6 years ago

Solved

Sequential Unconstrained Minimization (SUMT) using Interior Penalty
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_ ( _x_ ), g...

6 years ago

Solved

Sequential Unconstrained Minimization (SUMT) using Exterior Penalty
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_, given a f...

6 years ago

Solved

Quasi-Newton Method for Unconstrained Minimization using BFGS Update
Write a function to find the values of a design variable vector, _x_, that minimizes an unconstrained scalar objective function,...

6 years ago

Solved

Fletcher-Reeves Conjugate Gradient Method
Write a function to find the values of a design variable vector, _x_, that minimizes an unconstrained scalar objective function,...

6 years ago

Solved

Steepest Descent Method
Write a function to find the values of a design variable vector, _x_, that minimizes an unconstrained scalar objective function,...

6 years ago

Solved

Differential equations I
Given a function handle |f| an initial condition |y0| and a final time |tf|, solve numerically the differential equation dy...

6 years ago

Solved

Monte-Carlo integration
Write a function that estimates a d-dimensional integral to at least 1% relative precision. Inputs: * d: positive integer....

6 years ago

Solved

Snakes on a plane
Given the dimensions of a 2-d plane, create a matrix where a "snake" of ones occupies the plane from top left to bottom right. ...

6 years ago

Solved

Balanced Ternary Numbers: Easy as |, |-, |o
This problem concerns the so-called <http://en.wikipedia.org/wiki/Balanced_ternary balanced ternary> system for representing num...

6 years ago

Solved

Break it up! Break it up!
You have N pennies. Write a Matlab script that will reveal how many different ways you can break up those pennies. For example...

6 years ago

Solved

Cryptomath: Addition
W A I T + A L L --------- G I F T S equals: 9 6 0 8 + 6 7 7 --------- 1 0 2 8 5 Given str...

6 years ago

Solved

Guess the number I'm thinking of
In this game you are competing against two other people to guess the number that I'm thinking of. # I randomly choose an *i...

6 years ago

Solved

Create a random vector of integers with given sum
Your task today is to write a function that returns a vector of integer numbers, between, and including, 1 and m, of which the s...

6 years ago

Solved

Generate a random matrix A of (1,-1)
Input n: is an positive integer which serves as the dimension of the matrix A; Output: A=(Aij),where each entry Aij is either...

6 years ago

Solved

Generating random matrix with given probability mass function
Inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2356-simulating-the-selection-of-a-state-with-given-probabilit...

6 years ago

Solved

Given n, create n random numbers such that their standard deviation is also n.
Given n, create n random numbers such that their standard deviation is also n.

6 years ago

Solved

Numbers spiral diagonals (Part 2)
Inspired by Project Euler n°28 and 58. A n x n spiral matrix is obtained by starting with the number 1 and moving to the righ...

6 years ago

Solved

Numbers spiral diagonals (Part 1)
Inspired by Project Euler n°28 et 58. A n x n spiral matrix is obtained by starting with the number 1 and moving to the right...

6 years ago

Solved

Recurring Cycle Length (Inspired by Project Euler Problem 26)
Preface: This problem is inspired by <http://projecteuler.net/problem=26 Project Euler Problem 26> and uses text from that quest...

6 years ago

Solved

Project Euler: Problem 18, Maximum path sum I
By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bott...

6 years ago

Solved

Project Euler: Problem 16, Sums of Digits of Powers of Two
2^15 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26. What is the sum of the digits of the number 2^N? Thanks ...

6 years ago

Solved

Longest Collatz Sequence
Inspired by Projet Euler n°14. The Collatz iterative sequence (See Cody problem n° 2103 and 211) is defined for the set of po...

6 years ago

Solved

Large Sum (inspired by Project Euler 13)
Your function will be provided an arbitrary number of numbers of arbitrary sizes as a cell array of strings. Some numbers will b...

6 years ago

Solved

Divisors for big integer
Inspired by Problem 1025 and Project Euler 12. Given n, return the number y of integers that divide N. For example, with ...

6 years ago

Solved

Highly divisible triangular number (inspired by Project Euler 12)
Triangular numbers can be calculated by the sum from 1 to n. For example, the first 10 triangular numbers are: 1, 3, 6, 10, ...

6 years ago

Solved

Project Euler: Problem 11, Largest product in a grid
What is the greatest product of _k_ adjacent numbers in the same direction (up, down, left, right, or diagonally) in a _n×n_ gri...

6 years ago

Solved

Sum of big primes without primes
Inspired by Project Euler n°10 (I am quite obviously a fan). With problem n°250 by Doug, you can find some global methods to ...

6 years ago

Solved

Sums of cubes and squares of sums
Given the positive integers 1:n, can you: 1. Compute twice the sum of the cubes of those numbers. 2. Subtract the square...

6 years ago

Solved

Fifteen Parity Check
The Matlab function fifteen initializes the 4x4 array with randperm(16), which produces 50% unsolvable puzzles. A <https://en.wi...

6 years ago