From 34b4a43aca542e52f161809f857751160e1b5bde Mon Sep 17 00:00:00 2001 From: zeti Date: Mon, 15 Jun 2026 21:28:58 +0200 Subject: [PATCH 1/6] =?UTF-8?q?l=C3=B6sung=20f=C3=BCr=20ae310?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- contents/solutions/AE310.md | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 contents/solutions/AE310.md diff --git a/contents/solutions/AE310.md b/contents/solutions/AE310.md new file mode 100644 index 0000000..6d9e6b9 --- /dev/null +++ b/contents/solutions/AE310.md @@ -0,0 +1,13 @@ +Gesucht ist $\Delta f_{\textrm{T}}$ bei gegebener Bandbreit $B$: + +$B\approx2 \cdot \left(\Delta f_{\textrm{T}} + f_{\textrm{mod max}} \right)$ + +$12,5kHz \approx2 \cdot \left(\Delta f_{\textrm{T}} + f_{\textrm{mod max}} \right)$ + +$6,25kHz \approx \Delta f_{\textrm{T}} + f_{\textrm{mod max}}$ + +woraus wiederum folgt, dass jeder der beiden Summanden kleiner sein muss: + +$\Delta f_{\textrm{T}} < 6,25kHz$ + +Dies trifft nur auf die kleinste der vier Antworten zu: 2,5kHz. \ No newline at end of file From cbe8f49d0cd4eeb4e61088bd64bbb40f3138a90f Mon Sep 17 00:00:00 2001 From: zeti2342 Date: Tue, 16 Jun 2026 20:29:24 +0200 Subject: [PATCH 2/6] Update contents/solutions/AE310.md Co-authored-by: Christoph Fischer --- contents/solutions/AE310.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contents/solutions/AE310.md b/contents/solutions/AE310.md index 6d9e6b9..d2a1c6a 100644 --- a/contents/solutions/AE310.md +++ b/contents/solutions/AE310.md @@ -1,4 +1,4 @@ -Gesucht ist $\Delta f_{\textrm{T}}$ bei gegebener Bandbreit $B$: +Gesucht ist $\Delta f_{\textrm{T}}$ bei gegebener Bandbreite $B$: $B\approx2 \cdot \left(\Delta f_{\textrm{T}} + f_{\textrm{mod max}} \right)$ From 6f78f1a637d8f7366561af65a211ba41579a3a4e Mon Sep 17 00:00:00 2001 From: zeti2342 Date: Tue, 16 Jun 2026 20:29:40 +0200 Subject: [PATCH 3/6] Update contents/solutions/AE310.md Co-authored-by: Christoph Fischer --- contents/solutions/AE310.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contents/solutions/AE310.md b/contents/solutions/AE310.md index d2a1c6a..2ab184b 100644 --- a/contents/solutions/AE310.md +++ b/contents/solutions/AE310.md @@ -2,7 +2,7 @@ Gesucht ist $\Delta f_{\textrm{T}}$ bei gegebener Bandbreite $B$: $B\approx2 \cdot \left(\Delta f_{\textrm{T}} + f_{\textrm{mod max}} \right)$ -$12,5kHz \approx2 \cdot \left(\Delta f_{\textrm{T}} + f_{\textrm{mod max}} \right)$ +$\qty{12,5}{\kilo\hertz} \approx2 \cdot \left(\Delta f_{\textrm{T}} + f_{\textrm{mod max}} \right)$ $6,25kHz \approx \Delta f_{\textrm{T}} + f_{\textrm{mod max}}$ From 6302817c801581322b477e8cdc3914a5e66fdfc9 Mon Sep 17 00:00:00 2001 From: zeti2342 Date: Tue, 16 Jun 2026 20:29:53 +0200 Subject: [PATCH 4/6] Update contents/solutions/AE310.md Co-authored-by: Christoph Fischer --- contents/solutions/AE310.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contents/solutions/AE310.md b/contents/solutions/AE310.md index 2ab184b..6f6ae7b 100644 --- a/contents/solutions/AE310.md +++ b/contents/solutions/AE310.md @@ -4,7 +4,7 @@ $B\approx2 \cdot \left(\Delta f_{\textrm{T}} + f_{\textrm{mod max}} \right)$ $\qty{12,5}{\kilo\hertz} \approx2 \cdot \left(\Delta f_{\textrm{T}} + f_{\textrm{mod max}} \right)$ -$6,25kHz \approx \Delta f_{\textrm{T}} + f_{\textrm{mod max}}$ +$\qty{6,25}{\kilo\hertz} \approx \Delta f_{\textrm{T}} + f_{\textrm{mod max}}$ woraus wiederum folgt, dass jeder der beiden Summanden kleiner sein muss: From e1b0c446649763112be88762ab3b1da65b7a2cda Mon Sep 17 00:00:00 2001 From: zeti2342 Date: Tue, 16 Jun 2026 20:30:03 +0200 Subject: [PATCH 5/6] Update contents/solutions/AE310.md Co-authored-by: Christoph Fischer --- contents/solutions/AE310.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contents/solutions/AE310.md b/contents/solutions/AE310.md index 6f6ae7b..0ee8db9 100644 --- a/contents/solutions/AE310.md +++ b/contents/solutions/AE310.md @@ -8,6 +8,6 @@ $\qty{6,25}{\kilo\hertz} \approx \Delta f_{\textrm{T}} + f_{\textrm{mod max}}$ woraus wiederum folgt, dass jeder der beiden Summanden kleiner sein muss: -$\Delta f_{\textrm{T}} < 6,25kHz$ +$\Delta f_{\textrm{T}} < \qty{6,25}{\kilo\hertz}$ Dies trifft nur auf die kleinste der vier Antworten zu: 2,5kHz. \ No newline at end of file From b8a3bcf356779a2f0b93bad5f6c9b252ded45fc0 Mon Sep 17 00:00:00 2001 From: zeti2342 Date: Tue, 16 Jun 2026 20:30:13 +0200 Subject: [PATCH 6/6] Update contents/solutions/AE310.md Co-authored-by: Christoph Fischer --- contents/solutions/AE310.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/contents/solutions/AE310.md b/contents/solutions/AE310.md index 0ee8db9..8a24217 100644 --- a/contents/solutions/AE310.md +++ b/contents/solutions/AE310.md @@ -10,4 +10,4 @@ woraus wiederum folgt, dass jeder der beiden Summanden kleiner sein muss: $\Delta f_{\textrm{T}} < \qty{6,25}{\kilo\hertz}$ -Dies trifft nur auf die kleinste der vier Antworten zu: 2,5kHz. \ No newline at end of file +Dies trifft nur auf die kleinste der vier Antworten zu: $\qty{2,5}{\kilo\hertz}$. \ No newline at end of file