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Problem
Sum the Infinite Series II
For any x in the range 0 < x and x < 2*pi radians, find the sum of the following infinite series: c = 1 + 1/2*cos(x) + 1/2*3...
13 years ago | 1 | 19 solvers
Problem
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...
13 years ago | 9 | 128 solvers
Solved
Nonuniform quantizer as a piecewise constant function
Implement a nonuniform quantizer as the following piecewise function: y = -3.5, x < 3 y = -1.5, -3 ≤ x < -1 y = -...
13 years ago
Solved
Mechanics 1
I thought I would make a mechanics problem for all those physics lovers out there. Imagine two solid, rigid spheres B1 and B...
13 years ago
Problem
Compute Area from Fixed Sum Cumulative Probability
In Matlab the code v = rand(1,3); v = v/sum(v); is sometimes suggested as a convenient means of generating three rando...
13 years ago | 1 | 4 solvers
Solved
Triangle Numbers Below N
This is an offshoot of <http://www.mathworks.com/matlabcentral/cody/problems/5-triangle-numbers Cody Problem 5: Triangle Numbers...
13 years ago
Solved
How to find the position of an element in a vector without using the find function
Write a function posX=findPosition(x,y) where x is a vector and y is the number that you are searching for. Examples: fin...
13 years ago
Solved
Project Euler: Problem 1, Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...
13 years ago
Solved
chance in percent for minimum K heads when a good coin is tossed N times?
For example, chance is 100% for minimum 0 heads when a coin is tossed 7 times. Chance is 50% for minimum 2 heads when a coin is...
13 years ago
Solved
Find the two most distant points
Given a collection of points, return the indices of the rows that contain the two points most distant from one another. The inpu...
13 years ago
Solved
Project Euler: Problem 9, Pythagorean numbers
A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...
13 years ago
Solved
Great Circle Distance
Find shortest between two points on a ball given their azimuthal and polar angles (in degrees) as well as the radius of the sphe...
13 years ago
Solved
Project Euler: Problem 2, Sum of even Fibonacci
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...
13 years ago
Solved
Project Euler: Problem 5, Smallest multiple
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smalle...
13 years 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 ...
13 years ago
Solved
Angle of triangle
For three unknown points a b c, given three sides ab bc ca, find three angles abc bca cab in radians. Your function should b...
13 years ago
Solved
Spiraling out of control....
Imagine a square with corners at the origin and at (1,1). An interesting spiral can be created by tracing the path of a moving ...
13 years ago
Problem
Subdivide the Segment
Two points, P1 and P2, with integer x-y coordinates are given. These uniquely determine a third point, P0, on the extended line...
13 years ago | 4 | 10 solvers
Solved
What are the odds?
Two numbers, A and B are drawn randomly and uniformly on [-R,R]. What is the probability that A*B < A+B. Your function should ...
13 years ago
Solved
Subdivide the Segment
Two points, P1 and P2, with integer x-y coordinates are given. These uniquely determine a third point, P0, on the extended line...
13 years ago
Solved
Connect Four Win Checker
<http://en.wikipedia.org/wiki/Connect_Four Connect Four> is a game where you try to get four pieces in a row. For this problem, ...
13 years ago
Solved
Knight's Tour Checker
Given a matrix a, determine whether or not a legal <http://en.wikipedia.org/wiki/Knight's_tour knight's tour> is present. The kn...
13 years ago
Solved
Which values occur exactly three times?
Return a list of all values (sorted smallest to largest) that appear exactly three times in the input vector x. So if x = [1 2...
13 years ago
Solved
Pascal's Triangle
Given an integer n >= 0, generate the length n+1 row vector representing the n-th row of <http://en.wikipedia.org/wiki/Pascals_t...
13 years ago
Solved
Kaprekar Steps
6174 is the <http://en.wikipedia.org/wiki/6174_%28number%29 Kaprekar constant>. All natural numbers less than 10,000 (except som...
13 years ago
Solved
Find the peak 3n+1 sequence value
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...
13 years ago
Solved
Volume of this donut
Given hole diameter a, and outermost diameter b, determine the volume y of the resulting donut.
13 years ago
Solved
Geometric series
Find the sum, given the first term t1, the common ratio r, and number of terms n. Examples If input t1=1, r=1, n=7 the...
13 years ago
Solved
Longest Divisor Run
Given the vector a, find the longest run of consecutive numbers that can be evenly divided by the same number d where d > 1. ...
13 years ago