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Solved
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 ...
2 months ago
Solved
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...
2 months ago
Solved
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 ...
2 months ago
Solved
行列内の素数の平均をとろう
行列が与えられたときに、その行列内の素数の平均を計算する関数を作成しましょう。 例: 入力の行列が in = [ 8 3 5 9 ] のとき、 出力が 4 あるいは (3+5)/2 のようになり...
2 months ago
Solved
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...
2 months ago
Solved
チェッカーボードを作ろう
整数 n が与えられた時、以下の様な1と0を含むn×nの行列を作成しましょう。a(1,1) は1にする必要があります。 例： 入力 n = 5 出力 a が [1 0 1 0 1 0 1 0 1 0 ...
2 months ago
Solved
サイコロを作ろう
1から6までの独立かつランダムな数値を返すような関数を作成しましょう。 例： >> [x1,x2] = rollDice(); と入力すると x1 = 5 x2 = 2 のような解を返します。
2 months ago
Solved
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。...
2 months ago
Solved
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 ...
2 months ago
Solved
Chek the Delta = p' - p = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...
2 months ago
Solved
List the near-square primes, p = n² + 1 (Landau's 4th problem)
Historical context At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime...
2 months ago
Solved
List primes which are the sum of two consecutive lower primes plus minus one
Problem statement Some prime numbers can be written as the sum of two consecutive lower primes plus / minus one : Like t...
2 months ago
Solved
Compute optimal regenerative and friction brake torque blending.
Electric and hybrid vehicles combine regenerative braking with traditional friction braking to maximize energy recovery while en...
2 months ago
Solved
Compute optimal front–rear brake force distribution.
Modern braking systems dynamically distribute braking forces between front and rear axles to maintain stability, reduce stopping...
2 months ago
Solved
Compute the required brake torque at wheel to stop the car
Brake torque defines how effectively braking force translates into wheel deceleration. Given braking force and wheel radius, det...
2 months ago
Solved
Compute braking force using vehicle mass and acceleration.
Compute braking force required to stop a vehicle of mass 'm' and with acceleration 'a' Remember: F = m × a.
2 months ago
Solved
Laws of motion 4
Given the initial velocity 'u', final velocity 'v' and acceleration 'a', find the distance travelled.
2 months ago
Solved
Voltage Divider Calculation
A voltage divider is a simple circuit used to obtain a reduced voltage from a higher voltage source using two resistors in serie...
2 months ago
Solved
LED Current Calculation
In an electrical circuit, the current (III) flowing through an LED is determined using Ohm’s Law: Where: I is the current ...
2 months ago
Solved
Inductor Energy Storage Calculation
The energy (EEE) stored in an inductor is given by the formula: Where: E is the energy in joules (J) L is the inductance in...
2 months ago
Solved
Calculate Charge Using Capacitance and Voltage
The charge (Q) stored in a capacitor is given by the formula:Q=C×V where: C is the capacitance (in farads) V is the voltage (...
2 months ago
Solved
Energy Stored in a Capacitor
The energy (E) stored in a capacitor is given by the formula: where: C is the capacitance (in farads) V is the voltage (in ...
2 months ago
Solved
Simple Electrical Power Calculation
Calculate the electrical power using the formula: P=V×I where: V is the voltage (in volts) I is the current (in amperes)
2 months ago
Solved
Ohm’s Law - Calculate Resistance
Ohm’s Law states that resistance R can be calculated as:R=V/I where: V is the voltage (in volts) I is the current (in ampere...
2 months ago
