diff --git a/doc/Projects/2018/Project1/html/._Project1-bs000.html b/doc/Projects/2018/Project1/html/._Project1-bs000.html index 3086aff06..88e325830 100644 --- a/doc/Projects/2018/Project1/html/._Project1-bs000.html +++ b/doc/Projects/2018/Project1/html/._Project1-bs000.html @@ -178,8 +178,8 @@ the bootstrap methods, in order to perform a proper assessment of our models. The Franke function, which is a weighted sum of four exponentials reads as follows $$ \begin{align*} -f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\ -& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. +f(x,y) &= \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49}- \frac{(9y+1)}{10}\right)} \\ +&+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. \end{align*} $$ diff --git a/doc/Projects/2018/Project1/html/Project1-bs.html b/doc/Projects/2018/Project1/html/Project1-bs.html index 3086aff06..88e325830 100644 --- a/doc/Projects/2018/Project1/html/Project1-bs.html +++ b/doc/Projects/2018/Project1/html/Project1-bs.html @@ -178,8 +178,8 @@ the bootstrap methods, in order to perform a proper assessment of our models. The Franke function, which is a weighted sum of four exponentials reads as follows $$ \begin{align*} -f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\ -& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. +f(x,y) &= \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49}- \frac{(9y+1)}{10}\right)} \\ +&+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. \end{align*} $$ diff --git a/doc/Projects/2018/Project1/html/Project1.html b/doc/Projects/2018/Project1/html/Project1.html index 74393b12a..9ed048dbf 100644 --- a/doc/Projects/2018/Project1/html/Project1.html +++ b/doc/Projects/2018/Project1/html/Project1.html @@ -135,8 +135,8 @@ the bootstrap methods, in order to perform a proper assessment of our models. The Franke function, which is a weighted sum of four exponentials reads as follows $$ \begin{align*} -f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\ -& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. +f(x,y) &= \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49}- \frac{(9y+1)}{10}\right)} \\ +&+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. \end{align*} $$ diff --git a/doc/Projects/2018/Project1/ipynb/ipynb-Project1-src.tar.gz b/doc/Projects/2018/Project1/ipynb/ipynb-Project1-src.tar.gz index 89ca2b675..358c7b412 100644 Binary files a/doc/Projects/2018/Project1/ipynb/ipynb-Project1-src.tar.gz and b/doc/Projects/2018/Project1/ipynb/ipynb-Project1-src.tar.gz differ diff --git a/doc/Projects/2018/Project1/pdf/Project1.p.tex b/doc/Projects/2018/Project1/pdf/Project1.p.tex index d5d47829f..c0bc5a2b4 100644 --- a/doc/Projects/2018/Project1/pdf/Project1.p.tex +++ b/doc/Projects/2018/Project1/pdf/Project1.p.tex @@ -181,8 +181,8 @@ the bootstrap methods, in order to perform a proper assessment of our models. The Franke function, which is a weighted sum of four exponentials reads as follows \begin{align*} -f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\ -& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. +f(x,y) &= \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49}- \frac{(9y+1)}{10}\right)} \\ +&+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. \end{align*} The function will be defined for $x,y\in [0,1]$. Our first step will diff --git a/doc/Projects/2018/Project1/pdf/Project1.pdf b/doc/Projects/2018/Project1/pdf/Project1.pdf index 69de9e16c..8992ab558 100644 Binary files a/doc/Projects/2018/Project1/pdf/Project1.pdf and b/doc/Projects/2018/Project1/pdf/Project1.pdf differ diff --git a/doc/Projects/2018/Project1/pdf/Project1.tex b/doc/Projects/2018/Project1/pdf/Project1.tex index b341f7631..14ff0a081 100644 --- a/doc/Projects/2018/Project1/pdf/Project1.tex +++ b/doc/Projects/2018/Project1/pdf/Project1.tex @@ -151,8 +151,8 @@ the bootstrap methods, in order to perform a proper assessment of our models. The Franke function, which is a weighted sum of four exponentials reads as follows \begin{align*} -f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\ -& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. +f(x,y) &= \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49}- \frac{(9y+1)}{10}\right)} \\ +&+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. \end{align*} The function will be defined for $x,y\in [0,1]$. Our first step will diff --git a/doc/src/Projects/2018/Project1/Project1.do.txt b/doc/src/Projects/2018/Project1/Project1.do.txt index 780c0c1ab..7d3f2f53e 100644 --- a/doc/src/Projects/2018/Project1/Project1.do.txt +++ b/doc/src/Projects/2018/Project1/Project1.do.txt @@ -23,8 +23,8 @@ the bootstrap methods, in order to perform a proper assessment of our models. The Franke function, which is a weighted sum of four exponentials reads as follows !bt \begin{align*} -f(x,y) = &\frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49} \\ -& - \frac{(9y+1)}{10}\right)}+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. +f(x,y) &= \frac{3}{4}\exp{\left(-\frac{(9x-2)^2}{4} - \frac{(9y-2)^2}{4}\right)}+\frac{3}{4}\exp{\left(-\frac{(9x+1)^2}{49}- \frac{(9y+1)}{10}\right)} \\ +&+\frac{1}{2}\exp{\left(-\frac{(9x-7)^2}{4} - \frac{(9y-3)^2}{4}\right)} -\frac{1}{5}\exp{\left(-(9x-4)^2 - (9y-7)^2\right) }. \end{align*} !et