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Splitting Circle
Consider a circle which has been divided into three concentric circles as depicted in the figure below The ratio betwen the a...

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Radiation Heat Transfer — View Factors (1)
View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...

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Find the area between curves (P3)

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Find the area between curves (P2)

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How to calculate log?
There is a log that have base 5. How to calculate? log5(x)?

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Create tangent function out of sine function only
Please don't use cosine and tangent functions

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Convert Cylindrical Cooridinates into Spherical Coordinate
For Cylindrical coordinate point, rho, fie (degrees) and z. Convert these points in Spherical Cooridinate System and save result...

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Vector indexing: lower than mean
Find all values in a vector lower than the mean of the vector

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Reverse CHECKBOX MATRIX with 69
Create a reverse checkbox matrix with '69'. Where the size is the input and output will be a square checkbox matrix. Exa...

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Calculate compression ratio of engine
Calculate compression ratio of engine given compression volume of cylinder(Vc), piston stroke(s) and valve diameter(d)

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Calculate Engine Power
Calculate Engine Power (P) in kW given the values of Torque(M) in Nm and Engine Speed(n) in rpm

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Electrical Diode Current Calculation
In engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instanc...

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An Ohm's Law Calculator
*BACKGROUND / MOTIVATION:* Many important observations in math and science can be described by short, but powerful, equations...

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Period of a pendulum

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Angular Velocity

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First N Perfect Squares
*Description* Return the first N perfect squares *Example* input = 4; output = [ 1 4 9 16 ];

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Area of a Square
Given the length x of the side of a regular square, find the area of the square, A.

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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. Examp...

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Draw matrix 'Swiss flag'( Euro 2020)
Draw a x-by-x matrix 'Swiss flag' using '0' and '1'.(x is odd and bigger than 4) Example x=5 ...

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Draw a x-by-x matrix 'Denmark flag'(Euro(2020)
Draw a x-by-x matrix 'Denmark flag' using '4' and '1'.(x is odd and bigger than 4) Number 4: Caption S.Kjær and number 1: K.S...

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Draw 'P' !!!
Draw a n by n matrix 'P' using 0s and 1s. (n is odd and greater than 4) if n=5 , then the output will be [1 1 1 1 1 1 0 0 0...

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Calculate Triangle Area: A, B and Beta is given

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Calculate Triangle Area, A, B and Gamma is given.

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System of Linear Equations

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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 numbers. Otherwise return false. Example...

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Given area find sides
In a right angle triangle given area 'A' one arm=x, another arm=2x then find the value of x. For example, area A=400 then ...

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Given a matrix, swap the 2nd & 3rd 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...

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Basics: 'Find the eigenvalues of given matrix
Find the eigenvalues y for a given matrix x.

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Find the area between curves (P1)

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Project Euler: Problem 10, Sum of Primes
The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below the input, N. Thank you <http:/...

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