Khiem Nguyen

ETH Zürich

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I am a postdoctoral researcher at ETH Zürich from 2021. My research interests include, but not limited to, finite element methods, FFT-based methods for computational homogenization of heterogeneous materials and of metamaterials. theory of wave propagation, and data-driven computational mechanics.

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Fourier transform of circular convolution is not equal to multiplication of two Fourier transforms?
In Fourier theory, regardless discrete or continuous Fourier transform, we have an important property So, the Fourier transform...

10 månader ago | 1 answer | 0

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Return fibonacci sequence do not use loop and condition
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: ...

mer än 3 år ago

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Derivative of polynomial
Compute the derivative of a given polynomial. The input is an <http://www.mathworks.com/help/matlab/math/representing-polynomial...

mer än 3 år ago

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Finding peaks
Find the peak values in the signal. The peak value is defined as the local maxima. For example, x= [1 12 3 2 7 0 3 1 19 7]; ...

mer än 3 år ago

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Implement a bubble sort technique and output the number of swaps required
A bubble sort technique compares adjacent items and swaps them if they are in the wrong order. This is done recursively until al...

mer än 3 år ago

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Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...

mer än 3 år ago

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Oh Zero Zero Zero!!!
Hello all, So you have to find the largest section of zeros in a vector and then find the length of those zeros and there start...

mer än 3 år ago

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Find last zero for each column
Given a numeric array of arbitrary size, return the row index of the last zero for each column. If a column contains all nonzero...

mer än 3 år ago

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Count consecutive 0's in between values of 1
So you have some vector that contains 1's and 0's, and the goal is to return a vector that gives the number of 0's between each ...

mer än 3 år ago

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Change the sign of even index entries of the reversed vector
change the signs of the even index entries of the reversed vector example 1 vec = [4 -1 -2 9] ans = [9 2 -1 -4] example2...

mer än 3 år ago

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Find nth maximum
Find nth maximum in a vector of integer numbers. Return NaN if no such number exists. x = [2 6 4 9 -10 3 1 5 -10]; So ...

mer än 3 år ago

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Create an index-powered vector
Given a input vector x, return y as index-powered vector as shown below. Example x = [2 3 6 9] then y should be [...

mer än 3 år ago

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Calculate the Number of Sign Changes in a Row Vector (No Element Is Zero)
For a row vector: V=[7 1 2 -3] there is one sign change (from 2 to -3). So, the function you write must return N=1. F...

mer än 3 år ago

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Symmetry of vector
Determine whether the vector is symmetric or not (vector could be even or odd in length). For example: x = [1 2 3 3 2 1] ...

mer än 3 år ago

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Create an n-by-n null matrix and fill with ones certain positions
The positions will be indicated by a z-by-2 matrix. Each row in this z-by-2 matrix will have the row and column in which a 1 has...

mer än 3 år ago

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Enlarge array
Given an m-by-n numeric array (A) and a 1-by-2 vector (sz) indicating the dimensions [p q] to enlarge each element, return an (m...

mer än 3 år ago

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Remove entire row and column in the matrix containing the input values
Remove the entire row and column from the matrix containing specific values. The specified value can be a scalar or a vector. Fo...

mer än 3 år ago

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frame of the matrix
Given the matrix M, return M without the external frame.

mer än 3 år ago

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subtract central cross
Given an n-by-n square matrix, where n is an odd number, return the matrix without the central row and the central column.

mer än 3 år ago

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Given a 4x4 matrix, swap the two middle columns
If a = [1 2 3 4; 1 2 3 4; 1 2 3 4; 1 2 3 4]; then the result is ans = 1 3 2 4 1 3 2...

mer än 3 år ago

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matrix zigzag
Unfold a 2-D matrix to a 1-D array in zig-zag order, e.g., for matrix [ 1 2 3 ; 4 5 6 ; 7 8 9 ] the resulting 1-...

mer än 3 år ago

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

mer än 3 år ago

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

mer än 3 år ago

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

mer än 3 år 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 ...

mer än 3 år ago

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

mer än 3 år ago

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Calculate the sum of two polynomials
Calculate the sum of two polynomials if they are written in notation with their coefficients. example: a=[3 4 5]; b=[...

mer än 3 år ago

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

mer än 3 år ago

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Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1. Hint: use increment.

mer än 3 år ago

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Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for: A = [ 1 5 8 ] then B = [ 1 1 5 ...

mer än 3 år ago

Khiem Nguyen

ETH Zürich

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