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Ordered pairs of integers (I, J).
Write a MATLAB function that calculates the number of ordered pairs of integers (I, J) that can be formed satisfying the conditi...

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Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...

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Current through resistor
Three resistors (R2, R3, R4) are connected in parallel as shown in the figure. If this combination is connected in series with ...

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Partial Pressure of Water Vapor from Relative Humidity
Buck (1996, 1981) published the following constants for the saturation pressure of water*: 6.1121 (mb) The saturation pressur...

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Pressure for a given Above Sea Level Altitude
For altitudes up to the stratosphere (around 11 km above mean sea level), the air pressure can be estimated from: with where...

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Lunar Arithmetic (Addition)
<https://oeis.org/A087061 OEIS link for a description of lunar arithmetic> Simply take the larger digit. Example 1: ...

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Hilbert numbers
Given a positive integer, n, return h as follows: 1. If n is not a <https://en.wikipedia.org/wiki/Hilbert_number Hilbert numb...

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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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Concentric Squares Mandala
Generate concentric square rings of alternating 1s and 0s to form a layered mandala-style matrix. e.g. N = 5; 1 1 1 1 1;...

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Find MPG of Lightest Cars
The file cars.mat contains a table named cars with variables Model, MPG, Horsepower, Weight, and Acceleration for several classi...

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Verify Law of Large Numbers
If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....

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Find the Oldest Person in a Room
Given two input vectors: * |name| - user last names * |age| - corresponding age of the person Return the name of the ol...

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Return the Fibonacci Sequence
Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. ...

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Omit columns averages from a matrix
Omit columns averages from a matrix. For example: A = 16 2 3 13 5 11 10 8 9 7 ...

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Decide whether determinant is zero.
Given a 3 x 3 matrix, find the determinant. Let y = true if the determinant is zero, and let y = false if the determinant is no...

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My Problem, Find the square of the horizontal concatenation of the third and fifth elements of a vector.
given the 1x5 vector x, y must be the square of the horizontal concatenation of the third and fifth elements. So, if x = [1 1 1 ...

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sum of binomial series

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Hofstadter G sequence
The Hofstadter G sequence is defined as follows: The first elements of the sequence are 0, 1, 1, 2, 3, 3, 4, 4, 5, 6. Write ...

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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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Find the Peak Particle Velocity on a ETL structure
PPV is a vibration parameter that can connect stress to a structure, it is measured in mm/s or mm/s-1. The higher the PPV the mo...

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Sort accordingly

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Datetime basics
Generate the datetime scalar representing the current date

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Chain multiplication - 01
Say, you are given two matrices - A (shape= 3*4) and B(shape = 4*5). If you multiply these two matrices, the resultant matrix w...

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Check if two matrices are permutations of each other
Your function should return true for the elements of one matrix is the permutation of the other matrix: x = [1 2 3; 4 5 6; ...

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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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ASCII sum of phrases
Find the sum of the numeric equivalents of all characters entered in a phrase. For example: for the phrase 'My name is test', th...

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Finding the Most Frequent Letter in a Text
You are given a text containing various English letters, digits and punctuation symbols. Your task is to find the most frequentl...

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Linear system solve
Solve a linear set of equations as described in the following link: http://www.people.virginia.edu/~teh1m/cody/linsolv1.pdf

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generate capital english alphabets
Based on the numeric input 'n', generate the capital english alphabet starting from A till the english alphabet at the 'n'th pos...

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basic matrix operations: rotate and find sum of diagonal elements of the resultant matrix
For given input matrix a, rotate it by 90 degrees and find the sum of the diagonals. Example: Input: a = 1 ...

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