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02 - Vector Variables 4

Make the following variable: <<http://samle.dk/STTBDP/Assignment1_2d.png>> (Logarithmically spaced numbers between 1 and 1...

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Number of Circles in a Number

Given a number, return the number of closed 'circles' in the base 10 numerical representation. Note: the number 4 has no circ...

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Vectorizing, too easy or too hard?

Please insert a . before any ^, * or / in the string. That's it!!

7 years ago

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04 - Scalar Equations 1

Define the variable a: <<http://samle.dk/STTBDP/Assignment1_4-a.png>> Use this to calculate x: <<http://samle.dk/STTBD...

7 years ago

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What percentage?

Calculate the output c as the percentage of a on b for given a and b.

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sum of first 'n' terms

Given n=10, find the sum of first 'n' terms Example: If n=10, then x=1,2,3,4,5,6,7,8,9,10. The sum of these n=10 terms is 55...

7 years ago

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CONVERT TAN TO SIN

In a right angle triangle ABC given the tan(A) then find sin(A) For example tan(A)=3/4 then sin(A)=3/5

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Twins in a Window

<http://en.wikipedia.org/wiki/Twin_primes Twin primes> are prime numbers that differ by 2, such as [11,13] or [41,43]. Write a f...

7 years ago

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MATCH THE STRINGS (2 CHAR) very easy

Match the given string based on first two characters on each string. For example A='harsa'; b='harish'; result '1' ...

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collision

several cars (n) were involved in this collision, the input matrix (vm) has n rows and two columns, first column for velocity an...

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Angle of triangle

For three unknown points a b c, given three sides ab bc ca, find three angles abc bca cab in radians. Your function should b...

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Make a simplified barcode

Given an integer to encode, make a barcode using the following encoding scheme: * The bar code is made from the binary versio...

7 years ago

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7 segment LED display

Given a whole number, output how many segments would be lit up to display it on a 7 segment LED display (http://en.wikipedia.org...

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02 - Vector Variables 1

Make the following variable: <<http://samle.dk/STTBDP/Assignment1_2a.png>>

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Column norms of a matrix

Given a matrix M, return a vector y such that for each k y(k)=norm(M(:,k)) (y(k) is the Euclidean norm of the k-th col...

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System of equations

Find a solution to a system of equations represented by a |n| by |n+1| matrix. For instance, [ 2 0 4; => 2*x = 4 ...

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03 - Matrix Variables 3

Make the following variable: <<http://samle.dk/STTBDP/Assignment1_3c.png>> A 10x10 matrix where the numbers from 1 to 100 ...

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Triangle sequence

A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

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Dimensions of a rectangle

The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

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Area of an equilateral triangle

Calculate the area of an equilateral triangle of side x. <<http://upload.wikimedia.org/wikipedia/commons/e/e0/Equilateral-tr...

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Side of an equilateral triangle

If an equilateral triangle has area A, then what is the length of each of its sides, x? <<http://upload.wikimedia.org/wikipe...

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Find a Pythagorean triple

Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

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Length of the hypotenuse

Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<http://upload....

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Length of a short side

Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

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Area of an Isoceles Triangle

An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<http://upload...

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Is this triangle right-angled?

Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

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Side of a rhombus

If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<http://upload.wikimedia.org/wikipe...

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Is this triangle right-angled?

Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...

7 years ago