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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. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...

1 year ago

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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? <<https://i.imgur.com/jlZDHhq.png>> ...

1 year ago

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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? <<https://imgur.com/x6hT6mm.png>> ...

1 year ago

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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. <<https://imgur...

1 year ago

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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 right-...

1 year ago

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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...

1 year ago

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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...

1 year ago

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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 second...

1 year ago

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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...

1 year ago

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Numerical Integration
Input * |x0|, a real number greater than 0 Output * |I|, a numerical estimate of the integral x0 / I...

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Differential equations I
Given a function handle |f| an initial condition |y0| and a final time |tf|, solve numerically the differential equation dy...

1 year ago

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Make a Plot with Functions
Make a plot and test

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Monte-Carlo integration
Write a function that estimates a d-dimensional integral to at least 1% relative precision. Inputs: * d: positive integer....

1 year ago

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Fibonacci sequence
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Input...

1 year ago

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The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...

1 year ago

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Throwing Dice - Will You Be Eaten By The Dragon?
You and a dragon have agreed to let dice rolls determine whether it eats you or not. The dragon will roll a single die, of x si...

1 year ago

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Chess probability
The difference in the ratings between two players serves as a predictor of the outcome of a match (the <http://en.wikipedia.org/...

1 year ago

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文字列の最初と最後の文字だけ抜き出しましょう。
文字列の最初と最後の文字をつなげて返すような関数を作成しましょう。 もし文字が一つしかない場合、その文字は最初と最後の文字のため、関数はその文字を二回返すようにしておきましょう。 例: stringfirstandlast('borin...

1 year ago

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対称で、n*2n のサイズの行列を作成しましょう
サイズが n*2n の "mirror" 行列(対称行列)を作成しましょう。 例: n=2 の場合、以下のような出力を返します。 m = [ 1 2 2 1 1 2 2 1 ] n = 3 の場合、以下のよう...

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"mirror" matrix
Create n x 2n "mirror" matrix of this type: Examples For n = 2 m = [ 1 2 2 1 1 2 2 1 ] For n = 3 m = ...

1 year ago

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英語の文章内の母音を取り除くコードを書きましょう。
与えられた英語の文章内の母音を取り除きましょう。 例: 入力 s1 が 'Jack and Jill went up the hill' の場合、 出力 s2 は 'Jck nd Jll wnt p th hll' * (英語版) ...

1 year ago

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Remove the vowels
Remove all the vowels in the given phrase. Example: Input s1 = 'Jack and Jill went up the hill' Output s2 is 'Jck nd Jll wn...

1 year ago

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テレビのサイズを求めてみよう
あなたは電気屋で働いています。 あなたの電気屋にテレビを買いに来たお客さんに「何インチのテレビを買いたいのか」と質問したところ、対角線の情報しかわからないと言われてしまいました。 しかし、テレビのインチを知るには、幅と高さの情報が必要です。 ...

1 year ago

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What's size of TV?
Many people buy TV. Usually they ask about diagonal. But also important are width and height. Let's assume that all TV have rati...

1 year ago

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NaN (欠損値) が含まれている行を削除しよう
行列 A が与えられたとき、その行列の中に NaN (Not a number; 欠損値) の要素がある行を見つけ出し、その行を削除しましょう。 例: A = [ 1 5 8 -3 NaN 14 ...

1 year ago

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Remove any row in which a NaN appears
Given the matrix A, return B in which all the rows that have one or more <http://www.mathworks.com/help/techdoc/ref/nan.html NaN...

1 year ago

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特定の値がベクトル内に含まれているかを確認するコードを書こう
ベクトル b にあるスカラ値 a が含まれていれば出力として 1 を返し、含まれていなければ 0 を返すような関数を作成しましょう。 例: a = 3; b = [1,2,4]; スカラ値 3 はベクトル b に含まれていない...

1 year ago

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ゼロでない要素が一番多い行を探そう
行列 a が与えられたとき、行列 a の中で一番ゼロの要素が少ない行のインデクス r を返す関数を作成しましょう。このとき、行列 a には一つだけしかこの条件に当てはまる行がないと仮定します。 例: 入力として、行列 a = [ 1 ...

1 year ago

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