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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...

2 years ago

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ベクトルのスケーリング
入力したベクトルの大きさを１にしてください。

2 years ago

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Find the maximum number of decimal places in a set of numbers
Given a vector or matrix of values, calculate the maximum number of decimal places within the input. Trailing zeros do not count...

2 years ago

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There are 10 types of people in the world
Those who know binary, and those who don't. The number 2015 is a palindrome in binary (11111011111 to be exact) Given a year...

2 years ago

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Find the longest sequence of 1's in a binary sequence.
Given a string such as s = '011110010000000100010111' find the length of the longest string of consecutive 1's. In this examp...

2 years ago

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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...

2 years ago

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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; x...

2 years ago

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Converting binary to decimals
Convert binary to decimals. Example: 010111 = 23. 110000 = 48.

2 years ago

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Binary code (array)
Write a function which calculates the binary code of a number 'n' and gives the result as an array(vector). Example: Inpu...

2 years ago

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Relative ratio of "1" in binary number
Input(n) is positive integer number Output(r) is (number of "1" in binary input) / (number of bits). Example: * n=0; r=...

2 years ago

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Bit Reversal
Given an unsigned integer _x_, convert it to binary with _n_ bits, reverse the order of the bits, and convert it back to an inte...

2 years ago

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Given an unsigned integer x, find the largest y by rearranging the bits in x
Given an unsigned integer x, find the largest y by rearranging the bits in x. Example: Input x = 10 Output y is 12 ...

2 years ago

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Binary numbers
Given a positive, scalar integer n, create a (2^n)-by-n double-precision matrix containing the binary numbers from 0 through 2^n...

2 years ago

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Find out sum and carry of Binary adder
Find out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition. Examples Previo...

2 years ago

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Convert given decimal number to binary number.
Convert given decimal number to binary number. Example x=10, then answer must be 1010.

2 years ago

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Linear Motion 7
A robot has a maximum rate of acceleration of a m/s2. If the robot starts from rest and reaches a velocity of v2 m/s. How far ha...

2 years ago

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Linear Motion 6
An experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? Roun...

2 years ago

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Linear Motion 5
A robot moving down an incline for 3 seconds undergoes a uniform acceleration of a ft/s2. If the robot has an initial velocity o...

2 years ago

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Linear Motion 4
A robot accelerates at a rate of A ft/s2. Assuming the robot starts from rest how much time is required to reach an object loca...

2 years ago

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Linear Motion 3
Suppose a robot is moving in a straight line and steadily increases its speed. It moves from v1 ft/s to v1+2 ft/s in the first ...

2 years ago

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Linear Motion 2
During testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain. The testing takes place over...

2 years ago

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Linear Motion 1
An object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during ...

2 years ago

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Coefficient of Static friction
The coefficient of static friction between two surfaces is u. What force must be used to move a W lb. crate on a horizontal sur...

2 years ago

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Coefficient of Sliding Friction
A weight of W1 N rests on a horizontal plane. The plane is gradually inclined until at an angle θ = Ao with the horizontal, the ...

2 years ago

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Calculate the acceleration of a crate
What is the acceleration of a crate if two robots apply F1 N and F2 N of force respectively and a frictional force of FR N acts ...

2 years ago

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Coefficient of Kinetic friction
A robot exerts a F1 lb. force horizontally on a W lb. crate across a concrete floor at a constant speed. What is the coefficien...

2 years ago

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Find the force required to support a lever
Students are designing a robot that will lift a block to the equilibrium position for transport to the scoring area. They have d...

2 years ago

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Find the mass of a rod
Determine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram. In the diagram L1, L2, L3 are di...

2 years ago

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Calculate load on arm 1
A robot is designed with a motor directly attached at the pivot point of the lifting arm. The L inch arm has a weight of W1 lbs...

2 years ago

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Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...

2 years ago

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