Merge branch 'dev' of collaborating.tuhh.de:e-10/hoou/pontifex-hugo into dev

8764cdaa · Fabian Nuraddin Alexander Gabel · cc67b8be · 7d937cd1 · 8764cdaa · 8764cdaa
Commit 8764cdaa authored 2 years ago by Fabian Nuraddin Alexander Gabel
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -8,6 +8,20 @@ stages:

 ###### BUILDING ########

+review-app-build:
+  stage: build
+  image: collaborating.tuhh.de:5005/e-10/hoou/pontifex-core
+  script:
+    - sed -i -e "s;baseurl.*;baseurl = \"${REVIEW_BASE_DIR}/${CI_COMMIT_REF_NAME}\";" config/production/config.toml
+    - sed -i -e "s;/js/basic.js;${REVIEW_BASE_DIR}/${CI_COMMIT_REF_NAME}/js/basic.js;" layouts/shortcodes/header1.html
+    - sed -i -e "s;/js/basic2.js;${REVIEW_BASE_DIR}/${CI_COMMIT_REF_NAME}/js/basic2.js;" layouts/shortcodes/header2.html
+    - /pontifex/bin/build_pontifex.sh
+  artifacts:
+    paths:
+      - public
+  rules:
+     - if: $CI_MERGE_REQUEST_ID
+
 review-build:
  stage: build
  image: collaborating.tuhh.de:5005/e-10/hoou/pontifex-core
@@ -40,6 +54,46 @@ master-build:

 ###### REVIEW ########

+review-app-deploy:
+  image: eltenedor/alpine-ssh #das ist das Image, das wir testweise verwenden können (kann ssh)
+  stage: review
+  script:
+#
+# SSH Setup
+#
+    - eval $(ssh-agent -s)  #variablen initialisieren
+    - echo "${REVIEW_SSH_PRIVATE_KEY}" | tr -d '\r' | ssh-add -  #private key laden
+    - mkdir -p ~/.ssh && touch ~/.ssh/known_hosts  # .ssh Verzeichnis anlegen und known_hosts dummy
+    - echo "${REVIEW_SSH_KNOWN_HOSTS}" >> ~/.ssh/known_hosts #dummy mit Inhalt füllen 
+    - chmod 700 ~/.ssh   # Berechtigungen setzen
+    - ssh -v -p "${REVIEW_SSH_PORT}" "${REVIEW_SSH_USER}"@"${REVIEW_HOST_NAME}" "mkdir -p ${REVIEW_WEBSERVER_ROOT}/${CI_COMMIT_REF_NAME}/"
+    - scp -r -P ${REVIEW_SSH_PORT} public/* ${REVIEW_SSH_USER}@${REVIEW_HOST_NAME}:${REVIEW_WEBSERVER_ROOT}/${CI_COMMIT_REF_NAME} # möglicherweise ist rsync nicht installiert, dann scp nutzen
+  cache:
+    key: "$CI_COMMIT_REF_SLUG"
+  environment:
+    name: $CI_COMMIT_REF_NAME
+    url: https://${REVIEW_PROXY_HOST_NAME}${REVIEW_BASE_DIR}${CI_COMMIT_REF_NAME}/
+  rules:
+     - if: $CI_MERGE_REQUEST_ID
+
+review-app-deploy:stop:
+  image: eltenedor/alpine-ssh 
+  stage: review
+  script:
+    - eval $(ssh-agent -s)
+    - echo "$REVIEW_SSH_PRIVATE_KEY" | tr -d '\r' | ssh-add -
+    - mkdir -p ~/.ssh && touch ~/.ssh/known_hosts
+    - echo "$REVIEW_SSH_KNOWN_HOSTS" > ~/.ssh/known_hosts
+    - chmod 700 ~/.ssh/known_hosts
+    - ssh -p "${REVIEW_SSH_PORT}" "${REVIEW_SSH_USER}"@"${REVIEW_HOST_NAME}" "rm -rf ${REVIEW_WEBSERVER_ROOT}/${CI_COMMIT_REF_NAME}"
+  rules:
+    - if: $CI_MERGE_REQUEST_ID
+      when: manual
+  allow_failure: true
+  environment:
+    name: $CI_COMMIT_REF_NAME
+    action: stop
+
 review-deploy:
  image: eltenedor/alpine-ssh #das ist das Image, das wir testweise verwenden können (kann ssh)
  stage: review

--- a/layouts/index.html
+++ b/layouts/index.html
 {{ define "main" }}
 <div class="keyvisual-bg">
-  <img src="{{ path.Dir .Path | relURL | urlize }}/images/keyvisual.png">
+  <img src="{{ .Site.BaseURL }}images/keyvisual.png">
 <section class="section container-fluid mt-n3 pb-3">
  <div class="keyvisual-text row justify-content-center">
    <div class="col-lg-12 text-center">

--- a/layouts/partials/footer/footer.html
+++ b/layouts/partials/footer/footer.html
@@ -15,9 +15,9 @@
      </div>
    </div>
    <div class="logos">
-      <img src="{{ .Site.BaseURL }}/TUHH_logo-wortmarke_en_rgb.svg">
-      <img src="{{ .Site.BaseURL }}/HOOU_farbig_b-g_lang_RGB.png">
-      <img src="{{ .Site.BaseURL }}/pontifex.svg">
+      <img src="{{ .Site.BaseURL }}/TUHH_logo-wortmarke_en_rgb_schwarz.svg">
+      <img src="{{ .Site.BaseURL }}/HOOU_s-w_Strich_lang.svg">
+      <img src="{{ .Site.BaseURL }}/_Pontifex_SW.svg">
    </div>
  </div>
 </footer>
--- a/nodes/106/106.tex
+++ b/nodes/106/106.tex
 \input{packs}

-\begin{Definition}[Cauchy sequences]
-A sequence $(a_n)_{n\in\mathbb{N}}$ in $\mathbb{K}$ is called \textit{Cauchy sequence} if for all $\varepsilon>0$, there exists some $N$ such that for all $n,m\geq N$ holds
-\[|a_n-a_m|<\varepsilon.\]
-\end{Definition}
-\begin{Remark}{}
-By the expression ``$n,m\geq N$'', we mean that both $n$ and $m$ are greater or equal than $N$, i.e., $n\geq N$ \underline{and} $m\geq N$.
-\end{Remark}
-
-Now we show that convergent sequences are indeed Cauchy sequences.
-\begin{Theorem}{}\label{thm:convcauch}
-    Let $(a_n)_{n\in\mathbb{N}}$ be a~convergent sequence. Then $(a_n)_{n\in\mathbb{N}}$ is a~Cauchy sequence.
-\end{Theorem}
-{\em Proof:}
-Let $a=\lim_{n	o\infty}a_{n}$ and $\varepsilon>0$. Then there exists some $N$ such that for all $k\geq N$ holds $|a-a_k|<\frac{\varepsilon}2$. Hence, for all $m,n\geq N$ holds
-\[|a_n-a_m|=|(a_n-a)+(a-a_m)|\leq|a_n-a|+|a-a_m|< \frac{\varepsilon}2+\frac{\varepsilon}2=\varepsilon.\]
-$\Box$
-
-We know that convergent sequences are bounded.
-The following theorem shows that this is also the case for Cauchy sequences. 
-\begin{Theorem}[Cauchy sequences are bounded]\label{thm:cauchseqbnd}
-    Let $(a_n)_{n\in\mathbb{N}}$ be a~Cauchy sequence. Then $(a_n)_{n\in\mathbb{N}}$ is bounded.
-\end{Theorem}
-{\em Proof:} Take $\varepsilon=1$. Then there exists some $N$ such that for all $n,m\geq N$ holds $|a_n-a_m|<1$. Thus, for all $n\geq N$ holds
-\[|a_n|=|a_n-a_N+a_N|\leq |a_n-a_N|+|a_N|<1+|a_N|.\]
-Now choose
-\[c=\max\{|a_1|,|a_2|,\ldots,|a_{N-1}|,|a_N|+1\}\]
-and consider some arbitrary sequence element $a_k$.\\
-If $k<N$, we have that $|a_k|\leq \max\{|a_1|,|a_2|,\ldots,|a_{N-1}|\}\leq c$.\\
-If $k\geq N$, we have, by the above calculations, that $|a_k|<|a_N|+1\leq c$.\\
-Altogether, this implies that $|a_k|\leq c$ for all $k\in\mathbb{N}$, so $(a_n)_{n\in\mathbb{N}}$ is bounded by $c$.\hfill$\Box$

 Now we show that Cauchy sequences in $\mathbb{K}$ are even convergent:
 \begin{Theorem}{}\label{thm:Rcompl}
@@ -37,7 +7,7 @@ Every Cauchy sequence $(a_n)_{n\in\mathbb{N}}$ in $\mathbb{K}$ converges.
 \end{Theorem}

 {\em Proof:} 
-By Theorem~\ref{thm:cauchseqbnd}, $(a_n)_{n\in\mathbb{N}}$ is bounded. By Theorem of Bolzano-Weierstra\ss \ it has a convergent 
+Every Cauchy sequence is bounded. Therefore, $(a_n)_{n\in\mathbb{N}}$ is bounded. By the Theorem of Bolzano-Weierstra\ss \ it has a convergent 
 subsequence $(a_{n_k})_{k\in\mathbb{N}}$. Set $a:=\lim_{k\rightarrow\infty} a_{n_k}$. For given $\varepsilon>0$ there exist $N_1,N_2\in\mathbb{N}$ such 
 that $|a_{n_k}-a|<\varepsilon/2$ for all $k\geq N_1$ and $|a_n-a_m|<\varepsilon/2$ for all $n,m\geq N_2$. Thus for $n\geq N:=\max\{N_1,N_2\}$ holds
 $n_n\geq n\geq N$ and $$|a_n-a|\leq|a_n-a_{n_n}+a_{n_n}-a|\leq|a_n-a_{n_n}|+|a_{n_n}-a|< \varepsilon/2+\varepsilon/2=\varepsilon \ . \qquad\Box$$

--- a/nodes/115/115.tex
+++ b/nodes/115/115.tex
+\input{packs}
+
+\begin{Definition}[Cauchy sequences]
+A sequence $(a_n)_{n\in\mathbb{N}}$ in $\mathbb{K}$ is called \textit{Cauchy sequence} if for all $\varepsilon>0$, there exists some $N$ such that for all $n,m\geq N$ holds
+\[|a_n-a_m|<\varepsilon.\]
+\end{Definition}
+\begin{Remark}{}
+By the expression ``$n,m\geq N$'', we mean that both $n$ and $m$ are greater or equal than $N$, i.e., $n\geq N$ \underline{and} $m\geq N$.
+\end{Remark}
+
+Now we show that convergent sequences are indeed Cauchy sequences.
+\begin{Theorem}{}\label{thm:convcauch}
+    Let $(a_n)_{n\in\mathbb{N}}$ be a~convergent sequence. Then $(a_n)_{n\in\mathbb{N}}$ is a~Cauchy sequence.
+\end{Theorem}
+{\em Proof:}
+Let $a=\lim_{n	o\infty}a_{n}$ and $\varepsilon>0$. Then there exists some $N$ such that for all $k\geq N$ holds $|a-a_k|<\frac{\varepsilon}2$. Hence, for all $m,n\geq N$ holds
+\[|a_n-a_m|=|(a_n-a)+(a-a_m)|\leq|a_n-a|+|a-a_m|< \frac{\varepsilon}2+\frac{\varepsilon}2=\varepsilon.\]
+$\Box$
+
+We know that convergent sequences are bounded.
+The following theorem shows that this is also the case for Cauchy sequences. 
+\begin{Theorem}[Cauchy sequences are bounded]\label{thm:cauchseqbnd}
+    Let $(a_n)_{n\in\mathbb{N}}$ be a~Cauchy sequence. Then $(a_n)_{n\in\mathbb{N}}$ is bounded.
+\end{Theorem}
+{\em Proof:} Take $\varepsilon=1$. Then there exists some $N$ such that for all $n,m\geq N$ holds $|a_n-a_m|<1$. Thus, for all $n\geq N$ holds
+\[|a_n|=|a_n-a_N+a_N|\leq |a_n-a_N|+|a_N|<1+|a_N|.\]
+Now choose
+\[c=\max\{|a_1|,|a_2|,\ldots,|a_{N-1}|,|a_N|+1\}\]
+and consider some arbitrary sequence element $a_k$.\\
+If $k<N$, we have that $|a_k|\leq \max\{|a_1|,|a_2|,\ldots,|a_{N-1}|\}\leq c$.\\
+If $k\geq N$, we have, by the above calculations, that $|a_k|<|a_N|+1\leq c$.\\
+Altogether, this implies that $|a_k|\leq c$ for all $k\in\mathbb{N}$, so $(a_n)_{n\in\mathbb{N}}$ is bounded by $c$.\hfill$\Box$
--- a/nodes/204/204.tex
+++ b/nodes/204/204.tex
 \input{packs} 

 \begin{Theorem}[Cauchy Criterion]
-A~series $\displaystyle\sum_{k=1}^\infty a_k$ in $\K$ is convergent if and only if for all $\varepsilon>0$, there exists some $N$ such that for all $n\geq m\geq N$ holds
+A~series $\displaystyle\sum_{k=1}^\infty a_k$ in $\mathbb{R}$ is convergent if and only if for all $\varepsilon>0$, there exists some $N$ such that for all $n\geq m\geq N$ holds
 \[\left|\sum_{k=m}^n a_k\right|<\varepsilon.\]
 \end{Theorem}

 {\em Proof:} By the theorems on completeness and convergence of cauchy sequences, a~series converges if and only if the sequence $(s_{n})_{n\in\mathbb{N}}$ of partial sums is a~Cauchy sequence.\\
 On the other hand, for $n\geq m$, we have
 \[\left|s_n-s_{m-1}\right|=\left|\sum_{k=m}^n a_k\right|.\]
-Therefore, the Cauchy criterion is really equivalent to the fact that $(s_{n})_{n\in\mathbb{N}}$ is a~Cauchy sequence in $\K$.\hfill$\Box$
+Therefore, the Cauchy criterion is really equivalent to the fact that $(s_{n})_{n\in\mathbb{N}}$ is a~Cauchy sequence in $\mathbb{R}$.\hfill$\Box$

-\begin{Remark}{}
-%For incomplete spaces, the Cauchy criterion is only necessary (but not sufficient) for convergence of a~series. This is a~consequence of the fact that %the Cauchy criterion is equivalent to the fact that
-%the sequence of partial sums is a~Cauchy sequence.\\
-Reconsidering the example at the very beginning of this chapter, the divergence of this sequence can be directly verified be employing the Cauchy criterion.
-\end{Remark}
+%  \begin{Remark}{}
+%  %For incomplete spaces, the Cauchy criterion is only necessary (but not sufficient) for convergence of a~series. This is a~consequence of the fact that %the Cauchy criterion is equivalent to the fact that
+%  %the sequence of partial sums is a~Cauchy sequence.\\
+%  Reconsidering the example at the very beginning of this chapter, the divergence of this sequence can be directly verified be employing the Cauchy criterion.
+%  \end{Remark}
 As a corollary, we can formulate the following criterion.

 \begin{Theorem}[Necessary criterion for convergence of series]
 \label{eq:conv0}
-Let \[\sum_{k=1}^\infty a_k\] be a~convergent series in $\K$. Then $(a_n)_{n \in \mathbb{N}}$ is convergent with
+Let \[\sum_{k=1}^\infty a_k\] be a~convergent series in $\mathbb{R}$. Then $(a_n)_{n \in \mathbb{N}}$ is convergent with
 \[\lim_{n\to\infty}a_n=0.\]
 \end{Theorem}
 {\em Proof:}

--- a/nodes/cyto-overflow.json
+++ b/nodes/cyto-overflow.json
+    "003-101": {
+      "source": "003",
+      "target": "101",
+      "label": "Association of convergent sequence with its limit acts like a map."
+    },
+    "004-101": {
+      "source": "004",
+      "target": "101",
+      "label": "Existence of certain indices."
+    },
+    "103-117": {
+      "source": "103",
+      "target": "115",
+      "label": "We need Limit theorems in order to derive properties of Cauchy sequences (not true?)."
+    },
+    "102-300": {
+      "source": "102",
+      "target": "300",
+      "label": "Boundedness of a function relates to the boundedness of a certain set associated to the function (confusing?)."
+    },
+    "102-603": {
+      "source": "102",
+      "target": "603",
+      "label": "Revisiting the concept of boundedness in a continuous setting (confusing?)."
+    },
\ No newline at end of file
--- a/nodes/cyto.json
+++ b/nodes/cyto.json
@@ -57,7 +57,7 @@
    },
    "005": {
      "id": "005",
-      "label": "Image and Preimage",
+      "label": "Image and\nPreimage",
      "meta": " SLS05 ",
      "content": "Via images and preimages we describe how functions work on sets.",
      "notes": "005-snippet.html",
@@ -145,7 +145,7 @@
    },
    "013": {
      "id": "013",
-      "label": "Bounded Sets, Maxima and Minima",
+      "label": "Bounded Sets,\nMaxima and Minima",
      "meta": "",
      "content": "The values inside a set of real numbers can be bounded.",
      "notes": "013-snippet.html",
@@ -178,7 +178,7 @@
    },
    "102": {
      "id": "102",
-      "label": "Boundedness",
+      "label": "Bounded\nSequences",
      "meta": " RA03 ",
      "content": "Sequences can be bounded from above and from below.",
      "notes": "102-snippet.html",
@@ -244,7 +244,7 @@
    },
    "108": {
      "id": "108",
-      "label": "Bolzano-Weierstrass",
+      "label": "Bolzano-\nWeierstrass",
      "meta": "RA10 ",
      "content": "Every bounded sequence has at least one converging subsequence.",
      "notes": "108-snippet.html",
@@ -319,6 +319,17 @@
      "discussion": "https://etherpad.studiumdigitale.uni-frankfurt.de/p/discussingbridgesfromandto114?showControls=true&showChat=true&showLineNumbers=true&useMonospaceFont=false",
      "podcast": ""
    },
+    "115": {
+      "id": "115",
+      "label": "Cauchy\nSequences",
+      "meta": " RA07 ",
+      "content": "The sequence members of a Cauchy Sequence eventually become arbitrarily close to each other.",
+      "notes": "115-snippet.html",
+      "video": "https://www.youtube.com/embed/R2AFZD0jiKQ?start=14",
+      "webwork": "https://bright.jp-g.de/bsom/ra/ratest07/quiz.html",
+      "discussion": "https://etherpad.studiumdigitale.uni-frankfurt.de/p/discussingbridgesfromandto106?showControls=true&showChat=true&showLineNumbers=true&useMonospaceFont=false",
+      "podcast": "<iframe style=\"border-radius:12px\" src=\"https://open.spotify.com/embed/episode/2oh22JbFBcqSdfBJHEYUGo?utm_source=generator&theme=0\" width=\"100%\" height=\"232\" frameBorder=\"0\" allowfullscreen=\"\" allow=\"autoplay; clipboard-write; encrypted-media; fullscreen; picture-in-picture\"></iframe><p>Courtesy of Marcus Waurick. <i>Well-defined & Wonderful podcast</i>, <a href=\"https://www.marcus-waurick.de/teaching\">marcus-waurick.de</a>.</p>"
+    },
    "200": {
      "id": "200",
      "label": "Partial Sums",
@@ -727,7 +738,7 @@
    },
    "512": {
      "id": "512",
-      "label": "Application for\nTaylor's Theorem",
+      "label": "Application of\nTaylor's Theorem",
      "meta": "RA46",
      "content": "Calculate an approximation via Taylor's Theorem",
      "notes": "512-snippet.html",
@@ -916,7 +927,7 @@
    "000-101": {
      "source": "000",
      "target": "101",
-      "label": "Logical Statement, Quantifiers"
+      "label": "The definition of convergence is one of the very first logical statements that involves quantifiers."
    },
    "000-104": {
      "source": "000",
@@ -948,15 +959,35 @@
      "target": "005",
      "label": "Image and Preimage are special sets related to a mapping."
    },
+    "101-102": {
+      "source": "101",
+      "target": "102",
+      "label": "Convergent sequences are bounded."
+    },
    "002-102": {
      "source": "002",
      "target": "102",
      "label": "The statement of boundedness involves a comparison of real numbers."
    },
-    "001-102": {
+    "001-013": {
      "source": "001",
-      "target": "102",
-      "label": "Boundedness is a property of sets."
+      "target": "013",
+      "label": "Bounded sets are sets of real numbers that don't get arbitrarily small or large."
+    },
+    "005-013": {
+      "source": "005",
+      "target": "013",
+      "label": "If the image or preimage of a real valued map is bounded, one also calls the map bounded."
+    },
+    "013-300": {
+      "source": "013",
+      "target": "300",
+      "label": "If the image of a map is a bounded set, one also calls the map bounded."
+    },
+    "105-300": {
+      "source": "105",
+      "target": "300",
+      "label": "One bound to a map is given by the finite supremum of the set of the absolute function values."
    },
    "005-102": {
      "source": "005",
@@ -1023,6 +1054,16 @@
      "target": "105",
      "label": "Supremum and infimum are numbers associated to sets of real numbers."
    },
+    "100-115": {
+      "source": "100",
+      "target": "115",
+      "label": "Being Cauchy is a property of a sequence."
+    },
+    "115-106": {
+      "source": "115",
+      "target": "106",
+      "label": "Completeness can be defined by stating that every Cauchy sequences converges."
+    },
    "105-106": {
      "source": "105",
      "target": "106",
@@ -1046,23 +1087,18 @@
    "002-101": {
      "source": "002",
      "target": "101",
-      "label": "Ordering of Real numbers, absolute Value "
+      "label": "The definition of convergence involves the absolute value of a difference of real numbers and a quantitative comparison with another real number."
    },
    "002-106": {
      "source": "002",
      "target": "106",
-      "label": "Real numbers are complete. Every Cauchy sequence of real numbers converges."
+      "label": "Real numbers are complete by the completeness axiom."
    },
    "003-100": {
      "source": "003",
      "target": "100",
      "label": "A sequence is a map that assigns to each natural number a value."
    },
-    "003-101": {
-      "source": "003",
-      "target": "101",
-      "label": "Association of convergent sequence with its limit acts like a map."
-    },
    "003-300": {
      "source": "003",
      "target": "300",
@@ -1083,11 +1119,6 @@
      "target": "100",
      "label": "A sequence is a map having the natural numbers as domain."
    },
-    "004-101": {
-      "source": "004",
-      "target": "101",
-      "label": "Existence of certain indices."
-    },
    "006-400": {
      "source": "006",
      "target": "400",
@@ -1156,17 +1187,17 @@
    "101-103": {
      "source": "101",
      "target": "103",
-      "label": "Operations with convergent sequences "
+      "label": "Calculating limits of sums, products or quotients of convergent sequences."
    },
    "101-104": {
      "source": "101",
      "target": "104",
-      "label": "Monotonicity and boundedness imply convergence "
+      "label": "Monotonicity and boundedness imply convergence."
    },
-    "101-106": {
+    "101-117": {
      "source": "101",
-      "target": "106",
-      "label": "Convergence of Cauchy sequences characterizes completeness "
+      "target": "115",
+      "label": "Every convergent sequence is also a Cauchy sequence."
    },
    "101-110": {
      "source": "101",
@@ -1181,7 +1212,7 @@
    "101-107": {
      "source": "101",
      "target": "107",
-      "label": "Transition to subsequences that converge "
+      "label": "A sequence may have a convergent subsequence and this limit is then an accumulation value of the original sequence."
    },
    "101-108": {
      "source": "101",
@@ -1191,12 +1222,12 @@
    "102-104": {
      "source": "102",
      "target": "104",
-      "label": "A bound for the sequence is also a bound for the limit."
+      "label": "A bound for the sequence is also a bound for the limit by the monotonicity of limits."
    },
    "102-108": {
      "source": "102",
      "target": "108",
-      "label": "Bolzano Weierstrass requires a bounded sequence to begin with."
+      "label": "The Bolzano Weierstrass Theorem guarantees the existence of accumulation points for bounded sequences."
    },
    "103-203": {
      "source": "103",
@@ -1283,6 +1314,11 @@
      "target": "204",
      "label": "Cauchy sequences converge, therefore the Cauchy criterion for series gives convergence of a series."
    },
+    "115-204": {
+      "source": "115",
+      "target": "204",
+      "label": "If the sequence of partial sums is a Cauchy sequence, then it converges."
+    },
    "102-204": {
      "source": "102",
      "target": "204",
@@ -1443,11 +1479,6 @@
      "target": "300",
      "label": "Bounded functions on an interval form a set."
    },
-    "102-300": {
-      "source": "102",
-      "target": "300",
-      "label": "Boundedness of a function relates to the boundedness of a certain set associated to the function."
-    },
    "300-301": {
      "source": "300",
      "target": "301",
@@ -1683,11 +1714,6 @@
      "target": "602",
      "label": "The definition of the Riemann integral gives rise to nice properties."
    },
-    "102-603": {
-      "source": "102",
-      "target": "603",
-      "label": "Revisiting the concept of boundedness in a continuous setting."
-    },
    "603-609": {
      "source": "603",
      "target": "609",
@@ -1818,16 +1844,11 @@
      "target": "106",
      "label": "The fact that every Cauchy sequence converges can be derived from the Bolzano-Weierstraß theorem."
    },
-    "102-106": {
+    "102-117": {
      "source": "102",
-      "target": "106",
+      "target": "115",
      "label": "Cauchy sequences are bounded."
    },
-    "103-106": {
-      "source": "103",
-      "target": "106",
-      "label": "We need Limit theorems in order to derive properties of Cauchy sequences."
-    },
    "402-611": {
      "source": "402",
      "target": "611",

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\ No newline at end of file
--- a/static/css/style.css
+++ b/static/css/style.css
 X.wrap.container-xxl {
-    margin: 0;
-    padding: 0;
+    max-width: none;
 }

 @media screen and (max-width: 991px) {
@@ -12,7 +11,10 @@ X.wrap.container-xxl {
 }

 @media screen and (min-width: 991px) {
-    
+.mt-0 {
+    margin-top: 20px !important;
+}    
+
 .keyvisual-bg {
    position: relative;
    text-align: center;
@@ -26,7 +28,7 @@ X.wrap.container-xxl {
    top: 45%;
    left: 50%;
    transform: translate(-50%, -50%);
-    width: 120%;
+    width: 100%;
 }
 }
 .icons {

--- a/static/images/keyvisual.png
+++ b/static/images/keyvisual.png