when to use factor () when plotting with ggplot in R?
2013年2月25日 · Is the general rule to use factor when the variable being used to determine the shape/size/colour is discrete, and not continuous? Or is there another use of factor in this context? It seems like the first command can be made like the second with the right legend, even without factor . thanks.
r - Why use as.factor() instead of just factor() - Stack Overflow
‘factor(x, exclude = NULL)’ applied to a factor without ‘NA’s is a no-operation unless there are unused levels: in that case, a factor with the reduced level set is returned. ‘as.factor’ coerces its argument to a factor.
Using `geom_line ()` with X axis being factors - Stack Overflow
2013年5月3日 · GGPLOT with lines for factor on x-axis data not working. 1. Line graph with multiple factors in ggplot2. 2.
r - How to convert a factor to integer\numeric without loss of ...
But annoyingly, there is nothing to handle the factor -> numeric conversion. As an extension of Joshua Ulrich's answer, I would suggest to overcome this omission with the definition of your own idiomatic function: as.double.factor <- function(x) {as.numeric(levels(x))[x]}
polynomials - General factorization of $x^n-y^n$ (n is real ...
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polynomials - Factoring $x^n - Mathematics Stack Exchange
2019年9月3日 · The start of the list of cyclotomic polynomials is $$ \begin{array}{|c|c|} \hline n & \varphi_n(x)\\ \hline 1& x-1\\ 2&x+1\\ 3&x^2+x+1\\ 4 & x^2+1\\ 5&x^4+x^3+x^2+1\\ 6&x^2-x+1\\ \vdots&\vdots \end{array} $$ Now, the neat thing is that $$ x^n-1 = \prod_{d\mid n} \varphi_d(x) $$ For instance, we have $$ x^6-1 = \varphi_1(x)\cdot \varphi_2(x ...
polynomials - Factorise $x^n + 1$ - Mathematics Stack Exchange
2019年2月4日 · Write $$ x^n+1 = \frac{x^{2n}-1}{x^n-1} $$ The factorization over $\mathbb Q$ of the polynomials in the fraction are given by cyclotomic polynomials. Share Cite
ggplot2: change order of display of a factor variable on an axis
The important point here is the order of the factor levels. The order in the levels is also the order in the plot. You can use rev to reverse the order of the levels like this (note that I just reorder one column in a data.frame):
How to factor $x^5 - 1$? - Mathematics Stack Exchange
2018年2月4日 · Another general idea is the following: Since your polynomial is of degree $5$ and $5=3+2=4+1$ then you get that you can factor it as either a linear polynomial times a polynomial of degree $4$ or a cubic times a quadratic.
factoring - How to factorize polynomials to the 5th degree ...
I have the polynomial: $$2x^5-x^4+10x^3-5x^2+8x-4$$ and I know that the final result is: $$(2x-1)(x^4+5x^2+4) = (2x-1)(x^2+1)(x^2+4)$$ But how would you do it step by step? I've seen a couple of videos and blogs about it, but they mostly use examples, where their is a common factor between the expressions but in this case their are none.