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boot-TCLUST
Code to reproduce the figures of paper "Choice of trimming proportion and number of clusters in robust clustering based on trimm...
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Replace values out of an interval with the lower or upper values
For a vector or matrix X and an interval [n1,n2], the function replace every element of x inferior to n1 by n1, and every elemen...
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Compute a dot product of two vectors x and y
x and y are input vectors, d is a number and contains their dot product
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Diagonal Pattern
For a positive integer |n|, return an |nXn| matrix |mat| such that the value of each element in row |i| and column |j| is given ...
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Make a rainbow matrix (follow-up to checkerboard matrix)
Given an integer n, make an n-by-n matrix as shown below. The a(1,1) should be 0. As we move away from the top-left, the number ...
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Union Jack Matrix
Create a matrix of odd dimensions that has ones on both diagonals and dividing the matrix into 4 quadrants, resembling a square ...
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Vandermonde Matrix
Create the Vandermonde Matrix of the given vector. The matrix consists of columns as powers of the vector, so the first column i...
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Tent matrix
Create an n x n matrix that resembles one kind of tent. The variable n is provided to the function and will be an odd number. As...
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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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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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Calculate supply voltage and total current
Three resistors are connected in series and each has a resistance in ohms. Resistor R2 has a voltage drop of ΔV2volts Find the ...
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Resistance in a circuit
Two resistors with values of 6.0 ohms and 12 ohms are connected in parallel. This combination is connected in series with a 4 o...
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Voltage in a lamp
A lamp is measured to have a resistance of R ohms when it operates at a power of P Watts. What is the voltage (in volts) being a...
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Resistance of a robot
What is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? R...
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Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...
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Basic Mathematics 7
Three generous robotics team mentors would jointly like to donate $N toward extra supplies. The second mentor is donating twice ...
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Basic Mathematics 5
The total area of all four equal sections of the game field is N ft². Each section has a rectangle of dimensions X ft x Y ft re...
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Basic Mathematics 4
Team #1 is in first place but only one point higher than Team #2. The sum of their two scores is N. What are each team’s scores...
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Basic Mathematics 6
A High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground. Their ro...
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Basic Mathematics 3
It was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach ball...
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Basic Mathematics 2
If a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weigh...
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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...
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Basic Mathematics 1
If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in directio...
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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...
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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...
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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...
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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 ...
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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...
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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 ...
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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 ...
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