Démonstrations de R et de RStudio

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‘“\(A = \pi*r^{2}\)”’    \(A = \pi*r^{2}\)

\[E = mc^{2}\]’    \[E = mc^{2}\]

Dates 1

‘format(Sys.Date(), “%B %d, %Y”)’    ‘avril 09, 2020’

‘format(Sys.Date(), “%Y-%B-%d”)’    ‘2020-avril-09’

‘format(Sys.Date(), “%Y-%m-%d”)’    ‘2020-04-09’

‘format(Sys.Date(), “%y-%m-%d”)’    ‘20-04-09’

Statistiques simples avec R

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    0.00    5.25   20.50   28.50   45.75   81.00

Graphes simples avec R

# Define cars vector with 5 values
cars <- c(1, 3, 6, 4, 9)

# Define some colors ideal for black & white print
colors <- c("white","grey70","grey90","grey50","black")

# Calculate the percentage for each day, rounded to one 
# decimal place
car_labels <- round(cars/sum(cars) * 100, 1)

# Concatenate a '%' char after each value
car_labels <- paste(car_labels, "%", sep="")

# Create a pie chart with defined heading and custom colors
# and labels
pie(cars, main="Cars", col=colors, labels=car_labels,

# Create a legend at the right   
legend(1.5, 0.5, c("Mon","Tue","Wed","Thu","Fri"), cex=0.8, 

# Get a random log-normal distribution
r <- rlnorm(1000)

# Get the distribution without plotting it using tighter breaks
h <- hist(r, plot=F, breaks=c(seq(0,max(r)+1, .1)))

# Plot the distribution using log scale on both axes, and use
# blue points
plot(h$counts, log="xy", pch=20, col="blue",
    main="Log-normal distribution",
    xlab="Value", ylab="Frequency")
## Warning in xy.coords(x, y, xlabel, ylabel, log): 134 y values <= 0 omitted from
## logarithmic plot

Tableau des lettres grecques en \(\LaTeX\) 2

For those of you who don’t know your Greek alphabet, it’s time to learn it : name symbol \(\LaTeX\)

Prononciation et lettre Prononciation et lettre Prononciation et lettre Prononciation et lettre
alpha \(\alpha \ A\) A beta \(\beta \ B\) B gamma \(\gamma \ \Gamma\) delta \(\delta \ \Delta\)
epsilon \(\epsilon \ E\) E (epsilon) \(\varepsilon \ E\) zeta \(\zeta \ Z\) Z eta \(\eta \ H\)
theta \(\theta \ \Theta\) iota \(\iota \ I\) I kappa \(\kappa \ K\) K lambda \(\lambda \ \Lambda\)
mu \(\mu \ M\) M nu \(\nu \ N\) N xi \(\xi \ \Xi\) omicron \(\omicron \ O\) O
pi \(\pi \ \Pi\) rho \(\rho \ P\) P sigma \(\sigma \ \Sigma\) tau \(\tau \ T\)
upsilon \(\upsilon \ Y\) Y phi \(\phi \ \Phi\) (phi) \(\varphi\) chi \(\chi \ X\) X
psi \(\psi \ \Psi\) omega \(\omega \ \Omega\) - -

Quelques examples d’utilisation de \(\LaTeX\) dans des documents R

R Markdown allows you to mix text, R code, R output, R graphics, and mathematics in a single document. The mathematics is done using a version of \(\LaTeX\), the premiere mathematics typesetting program. (Our textbook was done entirely in \(\LaTeX\). Getting in and out of \(\LaTeX\) mode

You enter \(\LaTeX\) mode using $latex (for inline mathematics) or \[latex (for displayed equations). You get back out of \( \LaTeX \) mode using either $ or \]. Some basic mathematics you might use

Commands in \(\LaTeX\) are preceded by a backslash (). The simplest commands simply produce a symbol: Command Result A B \(\quad\) \(A \cup B\) A B \(A \cap B\) x A \(x \in A\) 5 2 \(5 \pm 2\) (x) \(\log(x)\) (x) \(\sin(x)\)

Other commands take additional inputs (placed inside curly braces {}): Command Result \(\sqrt{27}\) \(\overline{x}\) \(\frac{x}{n}\) \(\binom{k}{n}\) \(\quad\) \(\frac{\partial f}{\partial x}\)

The underscore () and carrot (^) have special uses in \(\LaTeX\). (Note the use of to get inline mathematics set with larger fonts and more vertical space.) Command Result x^2 \(x^2\) x_2 \(x_2\) {x} \(\lim_{x \to \infty}\) _{x} \(\displaystyle \lim_{x \to \infty}\) _0^{} f(x) ; dx \(\int_0^{\infty} f(x) \; dx\) _0^{} f(x) ; dx \(\quad\) \(\displaystyle \int_0^{\infty} f(x) \; dx\)

Modèles d’épidémies avec R [“Modèle SIR”(https://cran.r-project.org/web/packages/EpiModel/EpiModel.pdf)]

Exemple : Modèle SIR Model avec une dynamique vitale (Un Groupe)

param <- param.dcm(inf.prob = 0.2, act.rate = 5,
rec.rate = 1/3, a.rate = 1/90, ds.rate = 1/100,
di.rate = 1/35, dr.rate = 1/100)
init <- init.dcm(s.num = 500, i.num = 1, r.num = 0)
control <- control.dcm(type = "SIR", nsteps = 500)
mod2 <- dcm(param, init, control)

  1. Codage des dates

  2. Markdown et LaTeX