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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

13 years ago

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Bit Reversal
Given an unsigned integer _x_, convert it to binary with _n_ bits, reverse the order of the bits, and convert it back to an inte...

13 years ago

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A different counting method
Given an array (x) of integers, the "counting" array (y) is showing the number of identical consecutive integers in x in front o...

13 years ago

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Evaluating continued fractions
Given row vector c=[c0 c1 c2 c3 ...] evaluate the continued fraction x=c0+1/(c1+1/(c2+1/(c3+...))) If c is a ...

13 years ago

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Unique dice configurations
Given a number of dice N and the number of sides on each die S, write a MATLAB function that will output how many unique permuta...

13 years ago

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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...

13 years ago

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MatCAT - Reconstruct X from Its X-rays
Consider a matrix x x = [ 1 2 0 0 5 0 3 0 8 ] If we sum x along the rows we get row_sums = [3 5 11] ...

13 years ago

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Points on a Sphere
Given a sphere of radius R, determine how many points on the surface of that sphere have three integer coordinates. Do not outp...

13 years ago

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Fermat's Last Theorem - Fermat's conjecture
Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a...

13 years ago

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Elastic Collision 001: 1-D
Elastic Collision of two particles. <http://en.wikipedia.org/wiki/Elastic_collision wiki Elastic Collision> Solve Conservat...

13 years ago

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PONG 003: 3-Ball Rectangle, Interactive Download
Variation of the Original Classic PONG game brought to Cody. PONG 003 is a rectangular board (2000,1000) with reasonable veloci...

13 years ago

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Find the nearest integer
Given a vector of integers and a real number find the closest integer. EX: >> a = [2 4 5 6 8 10]; >> b = 4.6; >> nea...

13 years ago

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PONG 002: Rectangle, Interactive Download, Easier Play
Variation of the Original Classic PONG game brought to Cody. PONG 002 is a rectangular board (2000,1000) with slower initial ve...

13 years ago

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PONG 001: Player vs Wall, 4 Lives, Interactive download
Variation of the Original Classic PONG game brought to Cody. Attempt to keep the ball alive against a Wall. The ball speeds u...

13 years ago

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RISK board game battle simulation
Given two positive integer inputs, a (attacker army units) and d (defender army units) return the probablity of victory (from 0....

13 years ago

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How many days does the cat take to climb out of the hole?
A cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for ever...

13 years ago

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Find smallest integer type to accommodate your number
MATLAB supports 1-, 2-, 4-, and 8-byte storage for integer data. Find the smallest integer type to accomodate a scalar integer. ...

13 years ago

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Accurate Division
Given three integers x, y and d, return x/y (as a string) to d significant digits. Remove leading and trailing zeros. Example...

13 years ago

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Max index of 3D array
Given a three dimensional array M(m,n,p) write a code that finds the three coordinates x,y,z of the Maximum value. Example ...

13 years ago

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REPMAT Enhancement - Faster for Large Row Replication of Vector
The Challenge is to modify repmat.m to maintain all of its normal functionality and enhance its performance for large row replic...

13 years ago

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ismember: Enhanced Time Performance for 'rows' - Speed Scoring (90% savings)
The Challenge is to perform very fast the 'ismember' function for a long and wide array. The data is small integer representi...

13 years ago

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Partial pivoting for Gauss Elimination
Write a function to implement partial pivoting for Gauss elimination, given the pivot element.

13 years ago

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Penny Flipping: Reverse subsets of a sequence of coins until you recover the original configuration
The original Penny Flipping Problem (PF-1) starts with a stack of N pennies arranged with all the coins heads up. The first oper...

13 years ago

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False position (linear interpolation) method of finding a root.
Test the false position algorithm described in Chapter 5 of Steven C. Chapra's textbook, *Applied Numerical Methods with MATLAB ...

13 years ago

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The almost-birthday problem.
This is a harder version of the birthday problem. Now, you will have to determine the probability that two or more people in a r...

13 years ago

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THE CALCULATOR OF LOVE
In honor of Valentine's Day, program a love calculator that figures out the percentage of compatibility between two people using...

13 years ago

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Math with Roman Numerals
Given a function R within (+,-,*,/) and two Roman numerals a & b, compute aRb in Roman numerals.

13 years ago

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Lagrange Interpolation
Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calcu...

13 years ago

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Bisection method of finding a root.
Test the bisection algorithm described in Chapter 5 of Steven C. Chapra's textbook, *Applied Numerical Methods with MATLAB for E...

13 years ago

Solved


Penny flipping - calculate winning probability (easy)
Two players are playing a fair penny flipping game. For each flip, the winner adds one penny from the loser's collection to his/...

13 years ago

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