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Is X a Fibonacci Matrix?
In honor of Cleve's new blog and post: <http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/> Is X a Fibonacci ...

6年弱 前

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Fibonacci Decomposition
Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...

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How many Fibonacci numbers?
Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...

6年弱 前

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Triangle sequence
A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

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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...

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Fibonacci-Sum of Squares
Given the Fibonacci sequence defined by the following recursive relation, * F(n) = F(n-1) + F(n-2) * where F(1) = 1 and F(1)...

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Fibonacci sequence
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Inpu...

6年弱 前

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What is the next step in Conway's Life?
Given a matrix A that represents the state of <http://en.wikipedia.org/wiki/Conway's_Game_of_Life Conway's game of Life> at one ...

6年弱 前

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Hamiltonian Cycle
This is related to the Travelling Salesman Problem <http://www.mathworks.com/matlabcentral/cody/problems/1339 1339> created by...

6年弱 前

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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...

6年弱 前

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Don't be mean. Be nice!
For this problem, you will be given a range of single digits R, and a separate number K. You job is to calculate the mean of al...

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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...

約6年 前

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Does the coin touch the line?
If we throw a coin that has a diameter of d, its center will land in a grid n x m. What is the probability that the coin land...

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Histogram of histogram
Histogram of histogram (HoH) is a useful measure concerning the distribution of random data, which has diverse applications in d...

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Generating random matrix with given probability mass function
Inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2356-simulating-the-selection-of-a-state-with-given-probabilit...

約6年 前

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If you prick us, do we not bleed?
While doing some quick sewing to fix up your child's Halloween costume, you accidentally jab your finger with the needle. Refle...

約6年 前

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Coin Tossing: Probability of Same Heads for N tosses
A pair of physicists toss a coin n times each. What is the probability that they tossed the same number of heads? *Input:*...

約6年 前

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Eliminate Outliers Using Interquartile Range
Given a vector with your "data" find the outliers and remove them. To determine whether data contains an outlier: # Identi...

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Coin change combinations.
Using only pennies (1), nickels (5), dimes (10), quarters (25), half dollars (50), and dollars (100), how many different combina...

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Test Driven Solution - Probability Problem 3
*Problem:* Without any Cody cheats, write code that passes the test suite. *Hint:* The test suite gets samples from the proba...

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Test Driven Solution - Probability Problem 2
*Problem:* Without any Cody cheats, write code that passes the test suite. *Hint:* The test suite gets samples from the proba...

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Test Driven Solution - Probability Problem 1
*Problem:* Without any Cody cheats, write code that passes the test suite. *Hint:* The test suite gets samples from the proba...

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Cumulative probability of finding an unlikely combination
This is a supplemental problem to the <http://www.mathworks.com/matlabcentral/cody/problems/621-cryptomath-addition CryptoMath> ...

約6年 前

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Guess the number I'm thinking of
In this game you are competing against two other people to guess the number that I'm thinking of. # I randomly choose an *i...

約6年 前

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Probability of red tulips (at both ends of a row)
I planted tulip bulbs in a row on my flower bed. I thought that I had planted white tulips all. However, later, it turned out t...

約6年 前

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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/...

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Given n, create n random numbers such that their standard deviation is also n.
Given n, create n random numbers such that their standard deviation is also n.

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Rate of event occurence: find percentiles of the distribution (for smallish rates)
*In this problem you need to find the 5th and 95th percentiles of a Poisson distribution defined by parameter _μ_ (the mean rate...

約6年 前

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Simulating the selection of a state with given probabilities
Lets say we have 3 different states [1,2,3] with the probabilities of occurrences of each state is given as [0.5 0.2 0.3]. Which...

約6年 前

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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 ...

約6年 前

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