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Newton Raphson Line Search
Solution of equations with the quasi-Newton-Raphson method accelerated by a line search algorithm

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solid of revolution
Given an real polynomial P and two real numbers a,b with 0<=a<=b. Calculate the volume of the solid of revolution made by rota...

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Euler–Mascheroni constant
Approximate the Euler-Mascheroni constant using the series representation gamma_n=\sum_{k=1}^{n} [1/k-ln(1+1/k)] Calculat...

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Coefficients and vertex of a parabola given 3 points
Given 3 points, each defined by x and y, compute the coefficients: [a,b,c] of a parabola with equation: y = ax^2 + bx + c passin...

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Identify the sequence
Given a row vector, x, return 1 if it is an arithmetic series, or 2 if it is a geometric series. If it is neither, return 0. ...

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Babylonian method
Calculate the square root of a given positive number a using the Babylonian method (https://en.wikipedia.org/wiki/Methods_of_co...

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Regular polygon bounded by and bounding a circle
As the number of sides (or vertices) of a regular polygon goes to infinity, its perimeter and area go to the perimeter and area ...

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"Power matrix" of two vectors
Given two row vectors x,y of lengths m and n (respectively), create an m x n matrix whose i,j entry is x(i)^y(j).

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Accessing values in a cell
You are given c, which is a 1xN cell array, and a and b, which are each two 1xM vectors. Your job is to give the bth value in t...

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Sum all integers from 1 to 2^n
Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.

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Remove any row in which a NaN appears
Given the matrix A, return B in which all the rows that have one or more <http://www.mathworks.com/help/techdoc/ref/nan.html NaN...

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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...

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Swap the first and last columns
Flip the outermost columns of matrix A, so that the first column becomes the last and the last column becomes the first. All oth...

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What's the missing interior angle?
I'm talking about polygons... The sum of the interior angles of a triangle is 180 degrees. The sum of the interior angles of a...

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Response Spectra
Dynamic response spectrum analysis, elastic and elastoplastic response spectra

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Output a vector which is table of 9
Output a vector which is table of 9

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Low level NaN
* I have a dataset. Columns represents different variables. * A variable may start with NaN or any double type number. * If i...

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Go back n times
You will be given a column vector (such as x = [1; 2; 3; 4; 5; 6; 7; 8]). If (n=3) you will return following; [ 1 NaN NaN Na...

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Evil Number
Check if a given natural number is evil or not. Read more at <https://oeis.org/A001969 OEIS>.

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Remove the positive integers.
Given array,x, remove all the positive numbers and display ouput as y. Example x=[1 -2 3 -4] , output is y=[-2 -4].

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Determinant without using det()
Given a square matrix A, compute the <http://en.wikipedia.org/wiki/Determinant determinant> of A. Note that you may not use t...

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Most nonzero elements in row
Given the matrix a, return the index r of the row with the most nonzero elements. Assume there will always be exactly one row th...

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Finding Perfect Squares
Given a vector of numbers, return true if one of the numbers is a square of one of the other numbers. Otherwise return false. E...

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Make a checkerboard matrix
Given an integer n, make an n-by-n matrix made up of alternating ones and zeros as shown below. The a(1,1) should be 1. Example...

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Determine if input is odd
Given the input n, return true if n is odd or false if n is even.

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Find out phase angle of second order system.
Find out phase angle of second order system. In control system, phase angle is given by inverse of cos.

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Find all elements less than 0 or greater than 10 and replace them with NaN
Given an input vector x, find all elements of x less than 0 or greater than 10 and replace them with NaN. Example: Input ...

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Determine whether a vector is monotonically increasing
Return true if the elements of the input vector increase monotonically (i.e. each element is larger than the previous). Return f...

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Triangle Numbers
Triangle numbers are the sums of successive integers. So 6 is a triangle number because 6 = 1 + 2 + 3 which can be displa...

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Double colon operator: Counting down
* Construct a row array countValues from startValue to endValue, elements decremented by -2 end Ex: If startValue is 10 and ...

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