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Shifting vertically a function's graph
Given a real function, f, by n input-output pairs, consider a translation in the up-down direction given by an amount k. For a ...

4 months ago

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Translating parabola by its vertex to the origin
Given a quadratic polynomial, p(x) = ax^2 + bx + c (a ~= 0), represented by the vector [a b c], consider the translation of the ...

4 months ago

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Translating even-degree polynomial by its vertex to the origin
Let p be an even-degree polynomial such that has a unique vertex (single global extremum). Consider its translation by shifting ...

4 months ago

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Pascal's Pyramid - A Variation with an Arial View
Let's create a matrix of size N x N containing a Pascal's Triangle in each quadrant that diverges from the centre to form an ari...

4 months ago

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Shifting vertically even-degree polynomial's graph by its mean over an interval
Let p be an even-degree polynomial with positive leading coefficient. Consider its vertical translation by shifting its graph by...

4 months ago

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Scaling vertically parabola by evaluating its area over an interval
Let p be a quadratic polynomial, with its axis of symmetry being the y-axis. Considering the vertical shift of its vertex to the...

4 months ago

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Squares inside a square!

4 months ago

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Modified Upper Matrix Mock
Given a vector v=[1 3 6 9 11], turn it into a matrix 'ramp' like so: m=[1 3 6 9 11; 0 3 6 9 11; 0 0 6 9 11; 0 0 0 9 11; 0 0 0...

4 months ago

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Insert certain elements into a vector.
We start with vector V. Some values W will be inserted into V, at positions U. Say, |V| contains |[1 2 3 4 5]| and |W| is |[0...

4 months ago

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Get the value 100
Knowing that 123-45-67+89=100, write a function that gives this result for any order of the digits in the input. Otherwise, the ...

4 months ago

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realsmall
Please return the smallest positive number. This is a little silly problem, but the solution has some funny properties...

4 months ago

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Number Puzzles - 019
Borrowing the idea from Pascal Triangle, the following operation can be performed. Starting with an array of numbers from 1 to N...

4 months ago

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Number Puzzle - 027

4 months ago

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A sequence of Ones
You are given number(s) with all digits - 1. Your answer will depend on the count of 1 in the given number, for example - x1...

4 months ago

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Check if a year is a leap year or not
Return 1 if a given year is a leap year or 0 if it is not

4 months ago

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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...

4 months ago

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Sherlock Holmes: The Spy Problem
A guest at a party is a spy if this person is not known by any other guest, but knows all of them. There is at most one spy at a...

4 months ago

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Number Puzzles - 018

4 months ago

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Orientation of a 3D coordinate frame
The orientation of a body-fixed frame {B} with respect to the world frame {W} is described by an SO(3) rotation matrix. Compute...

4 months ago

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Where is 1?
There is a 3d matrix [A] that consist of many zeros and only one. A=zeros(100,100,100); i=randi(100); j=randi(100); k=randi(...

4 months ago

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Number Puzzles - 015

4 months ago

Solved

Number Puzzle - 022

4 months ago

Solved

Number Puzzle - 118

4 months ago

Solved

Number Puzzle - 119

4 months ago

Solved

Number Puzzles - 016

4 months ago

Solved

Number Puzzles - 020

4 months ago

Solved

String Logic 4
Example: 'CAT' --> 'IGZ' 'DOG' --> 'JUM' 'MATLAB' --> 'SGZRGH' 'ROSY' --> 'XUYE' 'TRUST' --> 'ZXAYZ' 'MOSTLY' --> 'SUYZ...

4 months ago

Solved

Number Puzzle - 098

4 months ago

Solved

Sales Tax

4 months ago

Solved

Number Puzzles - 021

4 months ago