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Dudeney Numbers: Numbers which are the cube of their decimal sum
From Wikipedia: _A Dudeney number is a positive integer that is a perfect cube such that the sum of its decimal digits is equa...

6 years ago

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Factorions: Numbers that equal the sum of the factorials of their digits
From Wikipedia: _A factorion is a natural number that equals the sum of the factorials of its decimal digits_ For example: ...

6 years ago

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Radial Zernike polynomials
Given an integer _n_ &ge; 0 and an integer _m_ &ge; 0, generate the <http://en.wikipedia.org/wiki/Zernike_polynomials radial Zer...

6 years ago

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Ackermann's Function
Ackermann's Function is a recursive function that is not 'primitive recursive.' <http://en.wikipedia.org/wiki/Ackermann_fun...

6 years ago

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Chebyshev polynomials of the 2nd Kind
Given an integer _n_ &ge; 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

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Chebyshev polynomials of the 1st Kind
Given an integer _n_ &ge; 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

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Legendre polynomials
Given an integer _n_ &ge; 0, generate the _n_-th <http://en.wikipedia.org/wiki/Legendre_polynomials Legendre polynomial>. *Ex...

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Generalized Laguerre polynomials
Given an integer _n_ &ge; 0 and a scalar _a_, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials#Generalized...

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Laguerre polynomials
Given an integer _n_ &ge; 0, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials Laguerre polynomial>. *Ex...

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Rosenbrock's Banana Function and its derivatives
Write a function to return the value of <http://en.wikipedia.org/wiki/Rosenbrock_function Rosenbrock's two-dimensional banana fu...

6 years ago

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Hermite Polynomials
Return the _n_-th <http://en.wikipedia.org/wiki/Hermite_polynomials Hermite polynomial> of the physicists' type. Assume that ...

6 years ago

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Kepler's Equation
Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...

6 years ago

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Calculate Euler's phi function
Compute the Euler's phi function of a large integer. For more information about this topic please visit: <https://en.wikiped...

6 years ago

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Split a string into chunks of specified length
Given a string and a vector of integers, break the string into chunks whose lengths are given by the elements of the vector. Ex...

6 years ago

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Guess Cipher
Guess the formula to transform strings as follows: 'Hello World!' --> 'Ifmmp Xpsme!' 'Can I help you?' --> 'Dbo J ifmq zpv...

6 years ago

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Hard limit function
Classify x data as if x>=0 then y=1 if x<0 then y=0 Example x = [ -2 -1 0 1 2] y = [ 0 0 1 1 1]

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How many digits are there?
Input(s) - any string Output(n) - number of digits within string s

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Number of odd and even elements within matrix
Input(m) - any matrix with integers Output(n) - n(1)=number of odd elements, n(2)=number of even elements Example: * m=...

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Volume and area of a sphere
Input(r) - radius Output([v,s]) - volume and area

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So many choices
For inputs _n_ and _k_ (in that order), output the number of ways that k objects can be chosen from amongst n distinct objects. ...

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Determine the mean of matrix
Determine the mean of matrix without using mean function Hint: use simple algorithm

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Compare two input matrices
Check which input matrix has more elements. Return "1" if matrix A has more elements than matrix B. Otherwise return "0". Exa...

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Add a row of zeros on top of a matrix
Given a matrix, insert a row of zeros as the top row.

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06 - Matrix Equations 2
Define the vectors _aVec_ and _bVec_: <<http://samle.dk/STTBDP/Assignment1_2a.png>> and <<http://samle.dk/STTBDP/Assig...

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Binary
Given a positive, integer n, create a function that returns the respective binary number in the form of a vector. Example: ...

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commutative?
Given the handle to a binary function that takes two ordinary numbers, test if the function is commutative.

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0<=x<=pi?
Check whether the given angle is between zero and pi. Return logical true or false.

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construct matrix with identical rows
Input a row vector such as x=1:10. Now we need to construct a matrix with L rows,of which every row vector is a copy of x. E...

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Palindrome Check
Check whether the entire matrix is palindrome or not. Example matrix = [7 8 7] matrix_reverse = [7 8 7] So the mat...

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Find the Nth Root of a Given Number
Find the Nth root of a given number x. Examples x = 4096 n = 4 y = 8 x = 625 n = 5 y = 3.6239

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