# Roger Stafford

Active since 2008

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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...

mer än 12 år 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...

mer än 12 år 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 &#8804; x < -1 y = -...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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 =...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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 ...

mer än 12 år 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...

mer än 12 år 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 ...

mer än 12 år 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...

mer än 12 år 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 ...

mer än 12 år 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...

mer än 12 år 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, ...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år 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...

mer än 12 år ago

Solved

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

mer än 12 år 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...

mer än 12 år ago

Solved

inner product of two vectors
inner product of two vectors

mer än 12 år 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. ...

mer än 12 år ago