From 10ae405fafc23b294c5457e543057be9ec7bea7b Mon Sep 17 00:00:00 2001 From: "Christoph J. Scherr" Date: Thu, 18 Jul 2024 12:28:19 +0200 Subject: [PATCH] abandon conventional commits and sol for ex in vorlesung --- src/exercise/index.typ | 0 src/main.pdf | Bin 41592 -> 0 bytes src/main.typ | 19 ++++++++++--------- src/refs.bib | 4 ++-- src/vorlesungen/index.typ | 20 ++++++++++++++++++++ 5 files changed, 32 insertions(+), 11 deletions(-) create mode 100644 src/exercise/index.typ delete mode 100644 src/main.pdf create mode 100644 src/vorlesungen/index.typ diff --git a/src/exercise/index.typ b/src/exercise/index.typ new file mode 100644 index 0000000..e69de29 diff --git a/src/main.pdf b/src/main.pdf deleted file mode 100644 index 6348bb77d1d831ffa37f693d3f7aa0343ce66969..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 41592 zcma&N1yqz#*EXyOiXfmOr67ZpG}8@&ksW<@axE-*Kei1`ihA|ir;ctO?%W<-L5 zL?954ii-^z#3NyCWsmig9SrO*8?ep1*p_Gd7&NvQ=#!ArRFdM5HMNp8H9*_hn_8i< z1H`Qit&L2rOh7!+MrbR0Q+pRKDQvqK8e@pIGSauQ$A)7-T5urm3vFzdiuFq?Qy>Zr 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zU&hvd>7KiT;NpLl0mP7&<`e=MI)Y7FT!`1f&|XAdRE^r%*_uI$+DOcX)!0&$pNHp8 zz~8fi+W@49TiZJT-gU-6VMTpvc10O!bp}ZxDQQ!7I&ot$0hV71|C04bVFkcp!yMc+ zK}&smdtMtm5C~}D_lo~=j2mb?r<{<8im{zNP=J?#mW>*nJs5y>_or)vin+0~u^n*d{&|!B zV+mi#+z#+N0FN?sQjC9ky!;$h3Gaqra5|lgz7) und Übungen#cite(). +Dieses Dokument bezieht sich vor allem auf Vorlesung#cite() und Übungen#cite(). +Diese sind auf Englisch verfasst, dieses Dokument wird jedoch auf Deutsch sein. = Methoden Erstmal machen und gucken dann. += Vorlesungen +#include "./vorlesungen/index.typ" + += Übungen + +#include "./exercise/index.typ" diff --git a/src/refs.bib b/src/refs.bib index 0e44465..6961a81 100644 --- a/src/refs.bib +++ b/src/refs.bib @@ -1,10 +1,10 @@ -@mvcollection{vorlesung, +@mvcollection{Vorlesung, author = "Dr. Nicholas Schreck", title = "Applied Mathematics - Multivariable analysis (Vorlesung)", year = "2024", } -@mvcollection{exercise, +@mvcollection{Exercise, author = "Dr. Nicholas Schreck", title = "Applied Mathematics - Multivariable analysis (Übungen)", year = "2024", diff --git a/src/vorlesungen/index.typ b/src/vorlesungen/index.typ new file mode 100644 index 0000000..0a50899 --- /dev/null +++ b/src/vorlesungen/index.typ @@ -0,0 +1,20 @@ +== Basics & Outlook @Vorlesung[Foliensatz 1] + +- Größtenteils Wiederholung von Analysis + +=== Ex: Convergence @Vorlesung[P. 11] + +#quote(attribution: [@Vorlesung[P. 11]])[ + Does the sequence $a_n; n in NN$ + + $ a_n = ((n+1)^2 + 3 dot n(n^2 -1)) / (2 dot (n+2)^3) $ + + converge? If it converges, what is the limit? +] + +$ + a_n &= ((n+1)^2 + 3 dot n(n^2 -1)) / (2 dot (n+2)^3)) \ + => lim_(n -> infinity) a_n &= lim_(n -> infinity) ((n+1)^2 + 3 dot n(n^2 -1)) / (2 dot (n+2)^3) \ + &= lim_(n -> infinity) (3 n^3) / (2n^3) \ + &= 3 / 2 checkmark +$