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Decimal to Binary conversion for Large Integers

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switch base
Input an integer, switch its base. Input is a string, so is output.

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Sample from random roulette
Given a list of values and their probabilities sample 10,000 values. Example: x = [1 2 3 4 5]; prob = [0.2 0.1 0.4 0.1 0.2] ...

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Define the higher order function - foldl
Given a binary function f, a starting value a, and a list (row vector) xs of values, the higher order function foldl folds the f...

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three digits
Input three digits no larger than 4，say 1,2 and 3, write the possible largest number composed（concatenation and power） only by t...

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Path of least resistance
Find the length of the shortest path through the matrix from the top left to bottom right corner. You may move right, down, or d...

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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...

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Repeat string n times - 3
function myOutput = rep_str_3(string1, string2, num1, num2, n) function desiredOutput = rep_str_3('string1', 'STRING2', 0...

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Bridge and Torch Problem - Minimum time
<https://en.wikipedia.org/wiki/Bridge_and_torch_problem Details of the problem ...> Input is crossing time list. (for exampl...

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combine cells
A cell type variable is created. However it has other cells in itself. we want to integrate them all in a single cell. the conte...

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Obscured by Earth
Given two points in <http://en.wikipedia.org/wiki/Earth-centered_inertial ECI> reference frame, check wheather they are in line-...

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问题


Find the closest canyon prime
My wife and I celebrated our honeymoon and most recent anniversary in Yellowstone and Grand Teton National Parks. After returnin...

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Code breaker, Part II: Operation Orthos
You have been tasked with decoding several batches of coded messages that have been intercepted. Based on previous intellig...

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Is it a mail?
Electronic mail, or email, is a method of exchanging digital messages between people using digital devices such as computers, mo...

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Find my secret function IV
We use the same secret function used on the past "Find my secret function ..." x=23 -------->> y=3 X=1000 ------->> 163

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Condition number of Kronecker product
Given NxN matrix A and MxM matrix B, where M,N<=1000, write a routine to compute the condition number of kron(A,B).

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The other half of the Fibonacci sequence
The <http://mathworld.wolfram.com/FibonacciNumber.html "Fibonacci sequence"> — F = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,...

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How many revolutions around the earth
Calculate how many revolutions you will around the earth till 1/1/2100. Given the birhdate find your age in number of days on 1...

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Project Euler: Problem 14, Longest Collatz sequence
The following iterative sequence is defined for the set of positive integers: n → n/2 (n is even) n → 3n + 1 (n is odd) U...

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Homogeneous lines and points in 2D: problem 1
In high school we learn the line equation y = mx + c where m is the gradient and c is the intercept. However this form is proble...

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Find my secret function III
only write a function gives you an outputs as expls: input: x=2 ------->>> Output: Y=1 input: x=100 ------->>> Output: Y=...

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vector indexes for a matrix
Matlab allows us to use several indexing styles making code simpler and easier to read than using loops. Vectors can have ve...

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Alternating 1´s and 0´s in a matrix
Given an odd number n, write a function that creates a matrix y with dimension nxn alternating 1's and 0's, and starting with 1 ...

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X O X Oh!
_This follows on from problem 44850 - X O X O_ <https://www.mathworks.com/matlabcentral/cody/problems/44850-x-o-x-o> On a...

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问题


List composite numbers that do not contain their prime factors as substrings
The number 63 has the prime factorization 3, 3, and 7, and it contains one of them (3) as a substring. In contrast, the number 4...

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Find an inscribed square on a closed curve
Here's an unproven conjecture from geometry: Every simple closed curve in a plane contains all four vertices of some square. ...

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Pitting corrosion on a metal plate: Count the number of pits
You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

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Pitting corrosion on a metal plate: Find the largest pit
You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

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Find the phi variation as a function of distance after solving through finite volume method. Return dphi/dx at all faces in form of array.
The question is a NPTEL online course assignment question. I have put it here becuase I wanted to create a problem set for num...

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Find 1's Complement
Find 1's complement of a binary number For Example: x = 10011010 1's complement of x = 01100101

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