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ベクトル [1 2 3 4 5 6 7 8 9 10] の作成
MATLABでは,角括弧の中に要素を入れることで、ベクトルを作成できる。 x = [1 2 3 4] また次のようにも書ける(コンマはオプション)。 x = [1, 2, 3, 4] 問題:次のベクトルを出力する関数を作成せよ。...
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2倍してみよう - ここからスタート!
初めにこの問題を試してみよう。 入力としてxを与え、それを2倍して結果をyに代入せよ。 Examples: Input x = 2 Output y is 4 Input x = 17 Output y is 34 ...
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二つのベクトルの要素ごとの積の平均を計算しよう
二つの同じ長さのベクトルが与えられたとき、二つのベクトルの要素ごとの積の平均を求めましょう。 例: 二つのベクトル [1 2 3] と [10 15 20] が与えられたとき、 それぞれの要素ごとの積の平均を取ると、 解は 33.3333 と...
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Right Triangle Side Lengths (Inspired by Project Euler Problem 39)
If p is the perimeter of a right angle triangle with integral length sides, { a, b, c }, there are exactly three solutions for p...
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Can we make a triangle?
Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...
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Find the sides of an isosceles triangle when given its area and height from its base to apex
Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and h=...
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Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...
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Is the Point in a Triangle?
Check whether a point or multiple points is/are in a triangle with three corners Points = [x, y]; Triangle = [x1, y1; x2, y...
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Find my daddy long leg (No 's')
Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the bigger leg.
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Calculate the area of a triangle between three points
Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vertices of ...
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Find x rows where the sum of the numbers is the maximum
Find x rows where the sum of the numbers is the maximum. For example: when x is 2 and m is 2 3 5 0 2 3 5 5 6 0 9 4 then y =...
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Generate this matrix
Generate the following matrix. n = 2; out = [-4 -3 -2 -1 0 -3 -2 -1 0 1 -...
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Find the minimum of the column-maximums of a matrix
Given a matrix A, find the maximum value of each column, then return the smallest of those maximum values (ie return the minimum...
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Calculate the mean of each half of a matrix
Given a matrix with an even number of columns, n, return a 1-by-2 row vector where the first element is the mean of all the elem...
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Matrix Quadrants
Write a function that takes N as the input, and outputs a matrix whose upper-left (NxN) quadrant contains all ones, the lower-ri...
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Mersenne Primes vs. All Primes
A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...
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Find the next prime number
Find the next prime number or numbers for given n. For example: n = 1; out = 2; or n = [5 7]; out = [7 11]; ...
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Make a vector of prime numbers
Input(n) - length of vector with prime numbers Output(v) - vector of prime numbers Example: * n=1; v=2 * n=3; v=[2 3 5...
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Largest Twin Primes
<http://en.wikipedia.org/wiki/Twin_prime Twin primes> are primes p1, p2 = p1 + 2 such that both p1 and p2 are prime numbers. Giv...
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Sophie Germain prime
In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...
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