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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?
8 mesi fa
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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?
8 mesi fa
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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
8 mesi fa
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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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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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create a square matrix
create a [n*n] matrix. example: mat(4)= [ 1 4 9 16 4 4 9 16 9 9 ...
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Orthonormal matrix
You decide whether any given matrix is an orthonormal matrix or not. If each column in a matrix is perpendicular to the other...
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Doubling elements in a vector
Given the vector A, return B in which all numbers in A are doubling. So for: A = [ 1 5 8 ] then B = [ 1 1 5 ...
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Flip the vector from right to left
Flip the vector from right to left. Examples x=[1:5], then y=[5 4 3 2 1] x=[1 4 6], then y=[6 4 1]; Request not to use d...
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Vector creation
Create a vector using square brackets going from 1 to the given value x in steps on 1. Hint: use increment.
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Geometry: Find Circle given 3 Non-Colinear Points
*This Challenge is to determine the center and radius of a circle given three non-colinear points.* *Input:* Points *Outpu...
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Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given number of...
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Angle between two vectors
You have two vectors , determine the angle between these two vectors For example: u = [0 0 1]; v = [1 0 0]; The a...
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Television Screen Dimensions
Given a width to height ratio of a TV screen given as _w_ and _h_ as well as the diagonal length of the television _l_, return t...
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Create a square matrix with given conditions
Create a square matrix, M, which should be populated as follows: M = [ n^2 n * (n-1) n * (n-2) ... n * 2 n * ...
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Get the length of a given vector
Given a vector x, the output y should equal the length of x.
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Select every other element of a vector
Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...
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What is the distance from point P(x,y) to the line Ax + By + C = 0?
Given a point, P(x,y), find the distance from this point to a linear line. INPUTS: x, y, A, B, C OUTPUTS: d, the distance ...
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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 comm...
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Draw a 'Z'.
Given _n_ as input, generate a n-by-n matrix like 'Z' by _0_ and _1_ . Example: n=5 ans= [1 1 1 1 1 0 0 0 1 ...
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Draw a 'X'!
Given n as input Draw a 'X' in a n-by-n matrix. example: n=3 y=[1 0 1 0 1 0 1 0 1] n=4 y=[1 0 0...
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Draw a 'N'!
Given n as input, generate a n-by-n matrix 'N' using 0 and 1 . Example: n=5 ans= [1 0 0 0 1 1 1 0 0 1 1 0 ...
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Draw 'J'
Given n as input, generate a n-by-n matrix 'J' using 0 and 1 . Example: n=5 ans= [0 0 0 0 1 0 0 0 0 1 0 0 ...
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Draw 'I'
Given n as input, draw a n-by-n matrix 'I' using 0 and 1. example: n=3 ans= [0 1 0 0 1 0 0 1 0] n=...
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