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Solved
Numerical Integration
Input * |x0|, a real number greater than 0 Output * |I|, a numerical estimate of the integral x0 / I...
1 day 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...
1 day ago
Solved
The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...
2 days ago
Solved
Throwing Dice - Will You Be Eaten By The Dragon?
You and a dragon have agreed to let dice rolls determine whether it eats you or not. The dragon will roll a single die, of x si...
2 days ago
Solved
Chess probability
The difference in the ratings between two players serves as a predictor of the outcome of a match (the <http://en.wikipedia.org/...
3 days ago
Solved
Roll the Dice!
Description Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice. Example [x1,x2] = rollDice(...
3 days ago
Solved
Calculate Amount of Cake Frosting
Given two input variables r and h, which stand for the radius and height of a cake, calculate the surface area of the cake you n...
3 days ago
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Solve a System of Linear Equations
Example: If a system of linear equations in x₁ and x₂ is: 2x₁ + x₂ = 2 x₁ - 4 x₂ = 3 Then the coefficient matrix (A) is: 2 ...
3 days ago
Solved
Sum of series IX
What is the sum of the following sequence: Σ 1/k! for k=1...n for different n?
3 days ago
Solved
Sum of series
a(n) = n^2 - (n-1)^2 find the summation of the series upto n i.e. a(1)+a(2)+...+a(n)
3 days ago
Solved
Integer sequence - 2 : Kolakoski sequence
Get the n-th term of Kolakoski Sequence.
3 days ago
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Alternating sum
Given vector x, calculate the alternating sum y = x(1) - x(2) + x(3) - x(4) + ...
3 days ago
Solved
Golomb's self-describing sequence (based on Euler 341)
The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G...
3 days ago
Solved
Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)
Given a number _n_, return the terminal value of the number chain formed by summing the square of the digits. According to the P...
3 days ago
Solved
"Look and say" sequence
What's the next number in this sequence? * [0] * [1 0] * [1 1 1 0] * [3 1 1 0] * [1 3 2 1 1 0] This a variant on the w...
3 days ago
Solved
Sum the Infinite Series
Given that 0 < x and x < 2*pi where x is in radians, write a function [c,s] = infinite_series(x); that returns with the...
4 days ago
Solved
Project Euler: Problem 6, Natural numbers, squares and sums.
The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...
4 days ago
Solved
Sum of first n terms of a harmonic progression
Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....
4 days ago
Solved
Mersenne Primes vs. All Primes
A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...
4 days ago
Solved
Approximation of Pi (vector inputs)
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given numbe...
4 days ago
Solved
geometric progression
I've modified my <http://uk.mathworks.com/matlabcentral/cody/problems/2800-arithmetic-progression previous program> so that it n...
4 days ago
Solved
arithmetic progression
I've written a program to generate the first few terms of <https://en.wikipedia.org/wiki/Arithmetic_progression arithmetic progr...
5 days ago
Solved
Find similar sequences
Another problem inspired by a question on the <http://www.mathworks.com/matlabcentral/answers answers> forum. Given a matrix ...
5 days ago
Solved
Generate Square Wave
Generate a square wave of desired length, number of complete cycles and duty cycle. Here, duty cycle is defined as the fraction ...
6 days ago
Solved
Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?
6 days ago
Solved
Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?
6 days ago
Solved
Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
6 days ago
Solved
Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?
6 days ago
