how to get the module of a vector? Absolute value [closed] - math

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How to get module of a vector like: V = (5, 3).
I want the return value to be positive.
And if the vector is 3d? like: V2 = (5,4,3). What's the formula to get it?

you can get the value that way: (it will be always positive)
Value = square root (first element^2 + second element^2 ,... )

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what is the time complexity of T(n)= 3T(n/2) + n^2? [closed]

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I tried using recursive tree method.
and got a geometric series.
That follows :
kn^2(1+ (3/2) +(3/2)^2 +...+(3/2)^b)
The sum = a(r^m -1)/r-1.
b = log n.
Then what to do I got confused.
Have you heard of the Master's Theorem? Your example is a relatively simple subcase (no logarithms). The result is:
T = Theta(n^2)

In a formula of distinct count algorithm, what ^ notation mean? [closed]

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In the first line, there is ^ notation between (epsilon*d/2^r) and (t = r).
What does ^ mean?
The "^" symbol in this context means "and" (which may be known as && in C++ or C#).

Plot matrix rows with distinct colors [closed]

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I have a matrix
B = matrix(c(1,2,4,1,4,2,1,3.5,4.2,2,2.2,6.5,3,1.2,7.7,1,2.1,1.6,3,5.2,8.2),
nrow = 7)
with 3 columns: the color column (colors from 1-5, representing blue,red,green,yellow,black), the x column and the y column.
I want to plot every points (x,y) with the color from the color column.
First question: what software is best to do so?
Second question: how can I do it with R?
Simple question finds simple answer:
plot(B[,2], B[,3], col=c("blue","red","green","yellow","black")[B[,1]])

Find maximum of two variables in R [closed]

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I have this R code, and i want to assign to the Max Variable the maximum value of A and B
, would be something like :
Max<-(A,B)
How can i do it in R?
I searched but i couldn't find a max function.
Thanks
The function is literally max:
Max <- max(A, B)

R - count number of list components [closed]

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I know that in R, you can index through a list with double brackets, i.e. mylist[[1]]. How do you count the number of elements in that list (not the number of elements in each list item, but the maximum n in mylist[[n]])? I tried NROW, NCOL, dim, among others.
Some example code for the desired behavior of some function num.items(list):
require(testthat)
mylist <- list(array(rnorm(4),dim=c(2,2)),array(rnorm(4),dim=c(2,2)))
expect_that( num.items(mylist), equals(2) )
length?
> length(mylist)
[1] 2

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