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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...

12 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...

12 years ago | 9 | 125 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 = -...

12 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...

12 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...

12 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...

12 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...

12 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...

12 years ago

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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...

12 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...

12 years ago

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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 =...

12 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...

12 years ago

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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...

12 years ago

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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...

12 years ago

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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 ...

12 years ago

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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...

12 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 ...

12 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...

12 years ago | 4 | 9 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 ...

12 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...

12 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, ...

12 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...

12 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...

12 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...

12 years ago

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Kaprekar Steps

6174 is the <http://en.wikipedia.org/wiki/6174_%28number%29 Kaprekar constant>. All natural numbers less than 10,000 (except som...

12 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...

12 years ago

Solved

Volume of this donut

Given hole diameter a, and outermost diameter b, determine the volume y of the resulting donut.

12 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...

12 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. ...

12 years ago