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Create a dictionary
The goal is to write a function that returns a dictionary from a list of words or phrases and their definitions. Here is an exam...

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Under the sea: Snell's law & total internal reflection
<https://en.wikipedia.org/wiki/Snell's_law> When a light travels from one medium to another medium, depending on the refracti...

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Calculate the volume of the football

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Orthogonalize 3 column vectors using the Gram-Schmidt process
Use the Gram-Schmidt process to orthogonalize three linearly independent column vectors. Return three output column vectors that...

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Orthogonalize a 2x2 matrix using the Gram-Schmidt process
Use the Gram-Schmidt process to orthogonalize two linearly independent column vectors. Return two output column vectors that are...

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Průměr z výběrového souboru
Napište funkci, která vrátí průměr z hodnot vektoru data. Např data = [1, 2, 3, 4, 5, 6, 7, 8, 9] je prumer = 5.

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Calculating distance of lightning based on time delay
If we know the time delay between when we see lightning and hear thunder then we can calculate approximate distance(in meters) o...

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Merge two integers
We want to merge the digits of two integers having the same number of digits to obtain a new integer whose digits are obtained b...

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Determine if a Digit is Isolated
A digit is considered isolated if both its left and right neighbors are different from itself. For example, in the number 776444...

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finding vector pair with min angle between them
given a matrix with more than one row , compare row vectors of the given matrix and find the pair with the minumum angle between...

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Write a code to implement Euler's method to integrate a simple function
Euler's method approximates the solution to a differential equation as where . The challenge is to write a code that can take...

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Write a code to implement the improved Euler's method to integrate a simple function
Euler's method approximates the solution to a differential equation as where . It's possible to improve on Euler's method by ...

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Pivot index
Let L be a vector of numbers. We are searching for the index n of the pivot element defined as follows: the dot product of the e...

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Check Digit - 01
The International Standard Book Number (ISBN) is a numeric commercial book identifier that is intended to be unique. It used ...

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Counting the occurrences of a digit in a book
The printer has printed a book with 'p' pages. How many times did they use the character 'd'? In other words, how many times doe...

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Probability of red tulips
I hope to give you bulbs of tulip. But I do not know the color of those petals. I just know that the color is red, white or yell...

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Ackerman Function

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How brilliant are you?
A Brilliant number is defined as a number with two prime factors, both of which have the same number of digits. Some examples: ...

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Check if integer
Given a vector of elements, determine if each element is an integer and return true or false accordingly.

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find number of times of occurrence of the most frequent number in a row vector
In a given row vector, find the number of times a mode of a row vector has occurred example: in [2 5 5 5 5 3], output is 4 ...

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prime to each other
Given two integers n1, n2 greater than 1, find out if they have common divisors or are prime to each other. Return "true" if the...

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Nth root of a number
Given an input and a number N, find the Nth root of the number(s)

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Triangle of numbers
Create a matrix with the integers from 1 to |n| arranged in a triangular shape. Every row |i| of the matrix contains |i| inte...

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Insert zeros II

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count upper and lower case characters
In a given input string, count and return the number of upper and lower case characters as u and l respectively. For example:...

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Check if there are white spaces in the input string
If there are white spaces in the input string, output=1 else 0

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Sudoku

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area of an annulus
Given the diameter d of the inner circle of the annulus. Given length z of a chord of the outer circle of the annulus. This chor...

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generate nth pentatope number
https://en.wikipedia.org/wiki/Pentatope_number

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check whether a number is a pentatope number
<https://oeis.org/A000332>

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