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Update 3.1 Code basics
authored
Jan 08, 2021
by
Udo Ziegler
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3-NIRVANA-user-guide/3.1-Code-basics.md
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@@ -425,7 +425,7 @@ individually selected by the user. The standard implementation covers
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@@ -425,7 +425,7 @@ individually selected by the user. The standard implementation covers
criteria which are
criteria which are
-
derivatives-based (most important in practice):
-
derivatives-based (most important in practice):


$$
\\
left
\[\\
alpha
\\
frac{
\|\\
delta
\\
,
\\
!U
\|
}{
\|
U
\|
+U
\_\\
mathrm{ref}}+(1-
\\
alpha)
$$
\\
left
\[\\
alpha
\\
frac{
\|\\
delta
\\
,
\\
!U
\|
}{
\|
U
\|
+U
\_\\
mathrm{ref}}+(1-
\\
alpha)
\\
frac{
\|\\
delta
\\
,
\\
!^2U
\|
}{
\|\\
delta
\\
,
\\
!U
\|
+{
\\
rm FILTER}
\\
cdot(
\|
U
\|
+U
\_\\
mathrm{ref})}
\\
right
\]
\\
frac{
\|\\
delta
\\
,
\\
!^2U
\|
}{
\|\\
delta
\\
,
\\
!U
\|
+{
\\
rm FILTER}
\\
cdot(
\|
U
\|
+U
\_\\
mathrm{ref})}
\\
right
\]
\\
left(
\\
frac{
\\
delta
\\
,
\\
!x^{(l)}}{
\\
delta
\\
,
\\
!x^{(0)}}
\\
right)^{
\\
xi}
\\
left(
\\
frac{
\\
delta
\\
,
\\
!x^{(l)}}{
\\
delta
\\
,
\\
!x^{(0)}}
\\
right)^{
\\
xi}
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