# Muhammet Fatih isik

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Solved

Project Euler: Problem 9, Pythagorean numbers

A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

2 months ago

Solved

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:/...

2 months ago

Solved

Project Euler: Problem 8, Find largest product in a large string of numbers

Find the greatest product of five consecutive digits in an n-digit number. 73167176531330624919225119674426574742355349194934...

2 months ago

Solved

Project Euler: Problem 7, Nth prime

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the Nth prime nu...

2 months ago

Solved

Project Euler: Problem 6, Natural numbers, squares and sums.

The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

2 months ago

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Project Euler: Problem 5, Smallest multiple

2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smalle...

2 months ago

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Project Euler: Problem 4, Palindromic numbers

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 ...

2 months ago

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Project Euler: Problem 3, Largest prime factor

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

3 months ago

Solved

Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

3 months ago

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Project Euler: Problem 1, Multiples of 3 and 5

If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

3 months ago

Solved

Given n, create n random numbers such that their standard deviation is also n.

Given n, create n random numbers such that their standard deviation is also n.

3 months ago

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Operate on matrices of unequal, yet similar, size

You may want to add a vector to a matrix, implying that the vector is added to each column of the matrix. Or multiply a 3x4x5 ma...

3 months ago

Solved

Removing rows from a matrix is easy - but what about inserting rows?

Assume A is a 5-by-5 matrix. A([2,4],:) = [] is a quick way to remove rows 2 and 4. Can you find a quick way to insert rows into...

3 months ago

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How long do each of the stages of the rocket take to burn?

A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

3 months ago

Solved

SatCom #2: Gain of a circular 'dish' antenna

*Satellite and Space Engineering - Problem #2* _This is part of a series of problems looking at topics in satellite and space...

3 months ago

Solved

SatCom #6: Inclination of a Sun-Synchronous Orbit

*Satellite and Space Engineering - Problem #5* _This is part of a series of problems looking at topics in satellite and space...

3 months ago

Solved

Calculate compression ratio of engine

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

3 months ago

Solved

Calculate Engine Power

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

3 months ago

Solved

SatCom #4: Satellite Orbit Altitude

*Satellite and Space Engineering - Problem #4* _This is part of a series of problems looking at topics in satellite and space...

3 months ago

Solved

Compute the missing quantity among P, V, T for an ideal gas

Consider 100 mol of helium gas at a certain pressure (P), volume (V), and temperature (T). Assuming that the ideal gas law appli...

3 months ago

Solved

What gear ratio does the cyclist need?

A cyclist (perhaps including our famed Codysolver the cyclist <http://www.mathworks.com/matlabcentral/cody/players/1841757-the...

3 months ago

Solved

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...

3 months ago

Solved

An Ohm's Law Calculator

*BACKGROUND / MOTIVATION:* Many important observations in math and science can be described by short, but powerful, equations...

3 months ago

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Reverse the elements of an array

Reverse the order of elements in an array: eg: input X = [ 1 2 3 ; 4 5 6 ; 7 8 9 ] o...

3 months ago

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Some Assembly Required

The input to this function is a matrix of real numbers. Your job is to assemble the rows of the matrix into one large row that ...

3 months ago

Solved

Permute diagonal and antidiagonal

Permute diagonal and antidiagonal For example [1 2 3;4 5 6;7 8 9] -> [3 2 1;4 5 6;9 8 7] WITHOUT diag function (and variable n...

3 months ago

Solved

Rotate input square matrix 90 degrees CCW without rot90

Rotate input matrix (which will be square) 90 degrees counter-clockwise without using rot90,flipud,fliplr, or flipdim (or eval)....

3 months ago

Solved

Matrix with different incremental runs

Given a vector of positive integers a = [ 3 2 4 ]; create the matrix where the *i* th column contains the vector *1:a(i)...

3 months ago

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Set some matrix elements to zero

First get the maximum of each *row*, and afterwards set all the other elements to zero. For example, this matrix: 1 2 3 ...

3 months ago

Solved

surrounded matrix

With a given matrix A (size m x n) create a matrix B (size m+2 x n+2) so that the matrix A is surrounded by ones: A = [1 2 ...

3 months ago