#!/usr/bin/env Rscript


library(knitr)
pandoc('hw_ch4.rmd', format='latex')


# TODO: how to NOT print the above commands to the resulting .pdf?
# TODO: how to avoid putting everyting from here on in ""s?
# TODO: how to avoid mentioning the file name above?
# TODO: how to render special symbols, such as tilde, miu, sigma?
#     Unicode character (U+3BC) not set up for use with LaTeX.
#     See the inputenc package documentation for explanation.

# nano hw_ch4.rmd  && ./hw_ch4.rmd && evince hw_ch4.pdf

"
4E1. In the model definition below, which line is the likelihood?
A: y_i is the likelihood, based on the expectation and deviation.


4M1. For the model definition below, simulate observed heights from the prior (not the posterior).
A:
```{r}
points <- 10
rnorm(points, mean=rnorm(points, 0, 10), sd=runif(points, 0, 10))
```


4M3. Translate the map model formula below into a mathematical model definition.
A:
```{r}
flist <- alist(
y tilda dnorm( mu , sigma ),
miu tilda dnorm( 0 , 10 ),
sigma tilda dunif( 0 , 10 )
)
```
"