Merge branch 'master' of https://github.com/AndreasFMueller/SeminarMatrizen

9 files changed, 11 insertions, 771 deletions

diff --git a/buch/papers/reedsolomon/images/codiert.txt b/buch/papers/reedsolomon/images/codiert.txt
deleted file mode 100644
index 4a481d8..0000000
--- a/buch/papers/reedsolomon/images/codiert.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,284
-1,131.570790435043
-2,41.9840308053375
-3,12.1189172092243
-4,23.8408857476069
-5,69.1793197789512
-6,24.0186013379153
-7,37.3066577242559
-8,18.2010889773887
-9,12.3214904922455
-10,15.6627133315015
-11,24.5237955316204
-12,32.1114345314062
-13,44.9845039238714
-14,13.5324640263625
-15,10.1736266929292
-16,4.58257569495584
-17,23.217268502288
-18,16.5769107917917
-19,6.89948680823017
-20,4.84567134895776
-21,10.4219666223433
-22,43.6179140616243
-23,35.9073375743642
-24,15.0332963783729
-25,21.7594021268945
-26,23.2496572716993
-27,17.9815599423852
-28,11.3577742151117
-29,38.467599433197
-30,28.3035029562577
-31,9.54321919833388
-32,21.377558326432
-33,17.6292439561917
-34,12.6951848921471
-35,20.0667752354841
-36,22.9097309529208
-37,8.78894645948548
-38,13.360682005498
-39,25.1757616314718
-40,38.0357773686457
-41,18.4633287776253
-42,19.0584505869806
-43,10.8631093309173
-44,12.6147770818983
-45,12.5398140021274
-46,34.901983501949
-47,22.3480442021702
-48,6
-49,22.3480442021702
-50,34.901983501949
-51,12.5398140021274
-52,12.6147770818983
-53,10.8631093309173
-54,19.0584505869806
-55,18.4633287776253
-56,38.0357773686457
-57,25.1757616314718
-58,13.360682005498
-59,8.78894645948548
-60,22.9097309529208
-61,20.0667752354841
-62,12.6951848921471
-63,17.6292439561917
-64,21.377558326432
-65,9.54321919833388
-66,28.3035029562577
-67,38.467599433197
-68,11.3577742151117
-69,17.9815599423852
-70,23.2496572716993
-71,21.7594021268945
-72,15.0332963783729
-73,35.9073375743642
-74,43.6179140616243
-75,10.4219666223433
-76,4.84567134895776
-77,6.89948680823017
-78,16.5769107917917
-79,23.217268502288
-80,4.58257569495584
-81,10.1736266929292
-82,13.5324640263625
-83,44.9845039238714
-84,32.1114345314062
-85,24.5237955316204
-86,15.6627133315015
-87,12.3214904922455
-88,18.2010889773887
-89,37.3066577242559
-90,24.0186013379153
-91,69.1793197789512
-92,23.8408857476069
-93,12.1189172092243
-94,41.9840308053375
-95,131.570790435043
diff --git a/buch/papers/reedsolomon/images/decodiert.txt b/buch/papers/reedsolomon/images/decodiert.txt
deleted file mode 100644
index f6221e6..0000000
--- a/buch/papers/reedsolomon/images/decodiert.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,6.05208333333333
-1,6.02602539785853
-2,0.0261327016093151
-3,5.98927158561317
-4,4.019445724874
-5,0.0247005083663722
-6,4.97798278395618
-7,1.95246440445439
-8,0.974000110512201
-9,2.00528527696027
-10,1.00071804528155
-11,1.97630907888264
-12,0.0232923747656228
-13,6.01302820392331
-14,3.03567381915226
-15,5.02435590137329
-16,7.00526061008995
-17,5.00739608089369
-18,5.02211514480064
-19,4.02175864806658
-20,1.00236543833726
-21,4.98147315261261
-22,8.97728828610336
-23,8.98481304394618
-24,2.98958333333333
-25,1.98491220960989
-26,5.97728835934715
-27,5.98144124907561
-28,4.00163839998525
-29,2.02176249296313
-30,9.02210713874162
-31,1.00742763919872
-32,1.00557258081044
-33,1.02435888848794
-34,2.03577412756745
-35,6.01302820392331
-36,5.97917574041123
-37,0.976310374034338
-38,9.00062625447998
-39,7.00515849238528
-40,6.97396416790894
-41,0.95256880864368
-42,8.97794719866783
-43,9.01850701506487
-44,10.0194409579917
-45,8.98926601525997
-46,7.9866590265379
-47,5.02603060999077
-48,2.05208333333333
-49,4.02603841132848
-50,0.986882897867895
-51,0.0177592928994285
-52,9.01944131204563
-53,3.0185365665612
-54,2.97803642439316
-55,2.95243072164649
-56,4.97396651395488
-57,6.00516695947321
-58,0.0143895905726619
-59,7.97630812771393
-60,5.97917574041123
-61,9.01298821331865
-62,3.03567381915226
-63,4.02435609145793
-64,0.0275599094902563
-65,0.0115837187254191
-66,0.025877761014238
-67,0.0224618032819697
-68,0.04410594689944
-69,0.0474504002669341
-70,0.0227694695500626
-71,0.0271436638090525
-72,0.0104166666666667
-73,0.0271436638090523
-74,0.0227694695500608
-75,0.0474504002669343
-76,0.0441059468994397
-77,0.0224618032819701
-78,0.0258777610142379
-79,0.0115837187254183
-80,0.027559909490256
-81,0.0245124379481793
-82,0.0499782237195209
-83,0.0401432022864265
-84,0.0232923747656228
-85,0.0237974288564099
-86,0.0143895905726624
-87,0.0271745729691685
-88,0.0275599094902567
-89,0.0515501672184983
-90,0.0358255004834542
-91,0.024700508366373
-92,0.0210194725405171
-93,0.0177592928994296
-94,0.0261327016093158
-95,0.0314909067039411
diff --git a/buch/papers/reedsolomon/images/empfangen.txt b/buch/papers/reedsolomon/images/empfangen.txt
deleted file mode 100644
index 38c13b0..0000000
--- a/buch/papers/reedsolomon/images/empfangen.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,284
-1,131.570790435043
-2,41.9840308053375
-3,12.1189172092243
-4,23.8408857476069
-5,69.1793197789512
-6,23.6290258699579
-7,37.3066577242559
-8,18.2010889773887
-9,12.3214904922455
-10,15.6627133315015
-11,24.5237955316204
-12,32.1114345314062
-13,44.9845039238714
-14,13.5324640263625
-15,10.1736266929292
-16,4.58257569495584
-17,23.217268502288
-18,16.5769107917917
-19,6.89948680823017
-20,5.55320238736303
-21,10.4219666223433
-22,43.6179140616243
-23,35.9073375743642
-24,15.0332963783729
-25,21.7594021268945
-26,23.2496572716993
-27,17.9815599423852
-28,11.3577742151117
-29,38.467599433197
-30,28.3035029562577
-31,9.54321919833388
-32,21.377558326432
-33,17.6292439561917
-34,12.6951848921471
-35,20.0667752354841
-36,22.9097309529208
-37,8.78894645948548
-38,13.360682005498
-39,25.1757616314718
-40,38.0357773686457
-41,18.4633287776253
-42,19.0584505869806
-43,10.8631093309173
-44,12.6147770818983
-45,12.5398140021274
-46,34.901983501949
-47,22.3480442021702
-48,6
-49,22.3480442021702
-50,34.901983501949
-51,12.5398140021274
-52,12.6147770818983
-53,10.8631093309173
-54,19.0584505869806
-55,18.4633287776253
-56,38.0357773686457
-57,25.1757616314718
-58,13.360682005498
-59,8.78894645948548
-60,22.9097309529208
-61,20.0667752354841
-62,12.6951848921471
-63,17.6292439561917
-64,21.377558326432
-65,9.54321919833388
-66,28.3035029562577
-67,38.467599433197
-68,11.3577742151117
-69,17.9815599423852
-70,23.2496572716993
-71,21.7594021268945
-72,15.0332963783729
-73,35.9073375743642
-74,44.6135417384784
-75,10.4219666223433
-76,4.84567134895776
-77,6.89948680823017
-78,16.5769107917917
-79,23.217268502288
-80,4.58257569495584
-81,10.1736266929292
-82,13.5324640263625
-83,44.9845039238714
-84,32.1114345314062
-85,24.5237955316204
-86,15.6627133315015
-87,12.3214904922455
-88,18.2010889773887
-89,37.3066577242559
-90,24.0186013379153
-91,69.1793197789512
-92,23.8408857476069
-93,12.1189172092243
-94,41.9840308053375
-95,131.570790435043
diff --git a/buch/papers/reedsolomon/images/fehler.txt b/buch/papers/reedsolomon/images/fehler.txt
deleted file mode 100644
index 23f1a83..0000000
--- a/buch/papers/reedsolomon/images/fehler.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,0
-1,0
-2,0
-3,0
-4,0
-5,0
-6,2
-7,0
-8,0
-9,0
-10,0
-11,0
-12,0
-13,0
-14,0
-15,0
-16,0
-17,0
-18,0
-19,0
-20,2
-21,0
-22,0
-23,0
-24,0
-25,0
-26,0
-27,0
-28,0
-29,0
-30,0
-31,0
-32,0
-33,0
-34,0
-35,0
-36,0
-37,0
-38,0
-39,0
-40,0
-41,0
-42,0
-43,0
-44,0
-45,0
-46,0
-47,0
-48,0
-49,0
-50,0
-51,0
-52,0
-53,0
-54,0
-55,0
-56,0
-57,0
-58,0
-59,0
-60,0
-61,0
-62,0
-63,0
-64,0
-65,0
-66,0
-67,0
-68,0
-69,0
-70,0
-71,0
-72,0
-73,0
-74,1
-75,0
-76,0
-77,0
-78,0
-79,0
-80,0
-81,0
-82,0
-83,0
-84,0
-85,0
-86,0
-87,0
-88,0
-89,0
-90,0
-91,0
-92,0
-93,0
-94,0
-95,0
diff --git a/buch/papers/reedsolomon/images/locator.txt b/buch/papers/reedsolomon/images/locator.txt
deleted file mode 100644
index b28988c..0000000
--- a/buch/papers/reedsolomon/images/locator.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,0.0301224340567056
-1,0.141653026854885
-2,0.138226631799377
-3,0.0339903276086929
-4,0.310585462557496
-5,0.551427312631385
-6,0.628514858396814
-7,0.51102386251559
-8,0.275861355940449
-9,0.0502396354182268
-10,0.090185502547573
-11,0.110759344849756
-12,0.0684618905063001
-13,0.0362855426992259
-14,0.0697096919781468
-15,0.109288539370248
-16,0.0923187999496653
-17,0.0512198536768088
-18,0.274192386987782
-19,0.51349614953654
-20,0.633154426602466
-21,0.553283743533942
-22,0.307840573214514
-23,0.0341664350328392
-24,0.140270857957
-25,0.138527177682831
-26,0.029637547736156
-27,0.0816962563186052
-28,0.0944383203811073
-29,0.0263932110686261
-30,0.0585881348402056
-31,0.0737117341599984
-32,0.0239973937701886
-33,0.0464215468420038
-34,0.0616218854220964
-35,0.0221963086695009
-36,0.0390764778127646
-37,0.0537637218396934
-38,0.0208333333333332
-39,0.0343107696069045
-40,0.0483441215964552
-41,0.0198077862118806
-42,0.0311207395968725
-43,0.0444955089373458
-44,0.0190533549944159
-45,0.0290049795038723
-46,0.0417536642697558
-47,0.0185261550443084
-48,0.0277059929762261
-49,0.0398606084144816
-50,0.0181978813094817
-51,0.0271098219177584
-52,0.0386836665079729
-53,0.0180518611046889
-54,0.0272138992557141
-55,0.0381891287148314
-56,0.0180809085252469
-57,0.0281418959420061
-58,0.0384596362516637
-59,0.0182864418432272
-60,0.0302250788423173
-61,0.0397874837986351
-62,0.0186786556701694
-63,0.0342489348284216
-64,0.0429932815348666
-65,0.0192777878591759
-66,0.0422808966931999
-67,0.0506815964680563
-68,0.0201167847752226
-69,0.0615048274405271
-70,0.0744953894508454
-71,0.021246054596492
-72,0.142602265816215
-73,0.273502052865436
-74,0.325309673287599
-75,0.272705389655349
-76,0.149074257381345
-77,0.0247199397628712
-78,0.0680137859566976
-79,0.075388270873485
-80,0.0273637831604903
-81,0.0407867704453274
-82,0.0632964886441949
-83,0.0309749128751093
-84,0.0315202035072035
-85,0.0627625211892184
-86,0.0360843918243497
-87,0.02794920551495
-88,0.0677921493367236
-89,0.0437167157553067
-90,0.0270640150996317
-91,0.0783380025231622
-92,0.0561293738314281
-93,0.0278742033265809
-94,0.0981443889498639
-95,0.0794543457386548
diff --git a/buch/papers/reedsolomon/images/plotfft.tex b/buch/papers/reedsolomon/images/plotfft.tex
deleted file mode 100644
index 83a89eb..0000000
--- a/buch/papers/reedsolomon/images/plotfft.tex
+++ /dev/null
@@ -1,89 +0,0 @@
-%
-% Plot der Übertrangungsabfolge ins FFT und zurück mit IFFT
-%
-\begin{tikzpicture}[]
-
-%---------------------------------------------------------------
-	%Knote
-\matrix[draw = none, column sep=25mm, row sep=2mm]{
-	\node(signal)  []    {
-	\begin{tikzpicture}
-		\begin{axis}
-			[title = {\Large {Signal}}, 
-			xlabel={Anzahl Übertragene Zahlen},
-			xtick={0,20,40,64,80,98},]
-			\addplot[blue] table[col sep=comma] {papers/reedsolomon/images/signal.txt};
-		\end{axis}
-	\end{tikzpicture}}; &
-	
-	\node(codiert) []    {
-	\begin{tikzpicture}
-		\begin{axis}[title = {\Large {Codiert}}]
-			\addplot[] table[col sep=comma] {papers/reedsolomon/images/codiert.txt};
-		\end{axis}
-	\end{tikzpicture}}; \\
-		
-	&\node(fehler) []    {
-	\begin{tikzpicture}
-		\begin{axis}[scale=0.6, title = {\Large {Fehler}},
-			xtick={7,21,75}]
-			\addplot[red] table[col sep=comma] {papers/reedsolomon/images/fehler.txt};
-		\end{axis}
-	\end{tikzpicture}};\\
-	
-	\node(decodiert) []    {
-	\begin{tikzpicture}
-		\begin{axis}[title = {\Large {Decodiert}}]
-			\addplot[blue] table[col sep=comma] {papers/reedsolomon/images/decodiert.txt};
-		\end{axis}
-	\end{tikzpicture}}; &
-
-	\node(empfangen) []    {
-	\begin{tikzpicture}
-		\begin{axis}[title = {\Large {Empfangen}}]
-			\addplot[] table[col sep=comma] {papers/reedsolomon/images/empfangen.txt};
-		\end{axis}
-	\end{tikzpicture}};\\
-
-	\node(syndrom) []   {
-	\begin{tikzpicture}
-		\begin{axis}[title = {\Large {Syndrom}}]
-			\addplot[blue] table[col sep=comma] {papers/reedsolomon/images/syndrom.txt};
-		\end{axis}
-	\end{tikzpicture}}; &
-
-	\node(locator) []    {
-	\begin{tikzpicture}
-		\begin{axis}[title = {\Large {Locator}}]
-			\addplot[] table[col sep=comma] {papers/reedsolomon/images/locator.txt};
-		\end{axis}
-	\end{tikzpicture}};\\
-};
-%-------------------------------------------------------------
-	%FFT & IFFT deskription
-
-\draw[thin,gray,dashed] (0,12) to (0,-12);
-\node(IFFT)  [scale=0.7]  at (0,12.3)   {IFFT};
-\draw[<-](IFFT.south west)--(IFFT.south east);
-\node(FFT)  [scale=0.7, above of=IFFT]    {FFT};
-\draw[->](FFT.north west)--(FFT.north east);
-
-\draw[thick, ->,] (fehler.west)++(-1,0) +(0.05,0.5) -- +(-0.1,-0.1) -- +(0.1,0.1) -- +(0,-0.5);
-%Arrows
-\draw[ultra thick, ->] (signal.east) to (codiert.west);
-\draw[ultra thick, ->] (codiert.south) to (fehler.north);
-\draw[ultra thick, ->] (fehler.south) to (empfangen.north);
-\draw[ultra thick, ->] (empfangen.west) to (decodiert.east);
-\draw[ultra thick, ->] (syndrom.east) to (locator.west);
-\draw(decodiert.south east)++(-1.8,1)  ellipse (1.3cm and 0.8cm) ++(-1.3,0) coordinate(zoom) ;
-\draw[ultra thick, ->] (zoom) to[out=180, in=90] (syndrom.north);
-
-%item
-\node[circle, draw, fill =lightgray] at (signal.north west) {1};
-\node[circle, draw, fill =lightgray] at (codiert.north west) {2};
-\node[circle, draw, fill =lightgray] at (fehler.north west) {3};
-\node[circle, draw, fill =lightgray] at (empfangen.north west) {4};
-\node[circle, draw, fill =lightgray] at (decodiert.north west) {5};
-\node[circle, draw, fill =lightgray] at (syndrom.north west) {6};
-\node[circle, draw, fill =lightgray] at (locator.north west) {7};
-\end{tikzpicture}
\ No newline at end of file
diff --git a/buch/papers/reedsolomon/images/signal.txt b/buch/papers/reedsolomon/images/signal.txt
deleted file mode 100644
index c4fa5f8..0000000
--- a/buch/papers/reedsolomon/images/signal.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,6
-1,6
-2,0
-3,6
-4,4
-5,0
-6,5
-7,2
-8,1
-9,2
-10,1
-11,2
-12,0
-13,6
-14,3
-15,5
-16,7
-17,5
-18,5
-19,4
-20,1
-21,5
-22,9
-23,9
-24,3
-25,2
-26,6
-27,6
-28,4
-29,2
-30,9
-31,1
-32,1
-33,1
-34,2
-35,6
-36,6
-37,1
-38,9
-39,7
-40,7
-41,1
-42,9
-43,9
-44,10
-45,9
-46,8
-47,5
-48,2
-49,4
-50,1
-51,0
-52,9
-53,3
-54,3
-55,3
-56,5
-57,6
-58,0
-59,8
-60,6
-61,9
-62,3
-63,4
-64,0
-65,0
-66,0
-67,0
-68,0
-69,0
-70,0
-71,0
-72,0
-73,0
-74,0
-75,0
-76,0
-77,0
-78,0
-79,0
-80,0
-81,0
-82,0
-83,0
-84,0
-85,0
-86,0
-87,0
-88,0
-89,0
-90,0
-91,0
-92,0
-93,0
-94,0
-95,0
diff --git a/buch/papers/reedsolomon/images/syndrom.txt b/buch/papers/reedsolomon/images/syndrom.txt
deleted file mode 100644
index 8ca9eed..0000000
--- a/buch/papers/reedsolomon/images/syndrom.txt
+++ /dev/null
@@ -1,96 +0,0 @@
-0,0
-1,0
-2,0
-3,0
-4,0
-5,0
-6,0
-7,0
-8,0
-9,0
-10,0
-11,0
-12,0
-13,0
-14,0
-15,0
-16,0
-17,0
-18,0
-19,0
-20,0
-21,0
-22,0
-23,0
-24,0
-25,0
-26,0
-27,0
-28,0
-29,0
-30,0
-31,0
-32,0
-33,0
-34,0
-35,0
-36,0
-37,0
-38,0
-39,0
-40,0
-41,0
-42,0
-43,0
-44,0
-45,0
-46,0
-47,0
-48,0
-49,0
-50,0
-51,0
-52,0
-53,0
-54,0
-55,0
-56,0
-57,0
-58,0
-59,0
-60,0
-61,0
-62,0
-63,0
-64,0.0275599094902563
-65,0.0115837187254191
-66,0.025877761014238
-67,0.0224618032819697
-68,0.04410594689944
-69,0.0474504002669341
-70,0.0227694695500626
-71,0.0271436638090525
-72,0.0104166666666667
-73,0.0271436638090523
-74,0.0227694695500608
-75,0.0474504002669343
-76,0.0441059468994397
-77,0.0224618032819701
-78,0.0258777610142379
-79,0.0115837187254183
-80,0.027559909490256
-81,0.0245124379481793
-82,0.0499782237195209
-83,0.0401432022864265
-84,0.0232923747656228
-85,0.0237974288564099
-86,0.0143895905726624
-87,0.0271745729691685
-88,0.0275599094902567
-89,0.0515501672184983
-90,0.0358255004834542
-91,0.024700508366373
-92,0.0210194725405171
-93,0.0177592928994296
-94,0.0261327016093158
-95,0.0314909067039411
diff --git a/buch/papers/reedsolomon/images/polynom2.tex b/buch/papers/reedsolomon/tikz/polynomraw.tex
index 288b51c..02968fd 100644
--- a/buch/papers/reedsolomon/images/polynom2.tex
+++ b/buch/papers/reedsolomon/tikz/polynomraw.tex
@@ -1,12 +1,11 @@
-% polynome
-%-------------------
-% Teiler für das Skalieren der Grafik /40
+% polynomraw
+
 \newcommand{\teiler}{40}
 
 
 %//////////////////////////////////////
 
-\begin{tikzpicture}[>=latex,thick]
+\begin{tikzpicture}[>=latex,thick,]
 	\draw[color=blue, line width=1.4pt] 
 	plot[domain=0:8, samples=100]
 	({\x},{(2*\x^2+1*\x+5)/\teiler});
@@ -21,9 +20,14 @@
 
 	\def\hellpunkt#1{
 		\fill[color=lightgray] #1 circle[radius=0.08];
-		\draw #1 circle[radius=0.07];
+		\draw[gray] #1 circle[ radius=0.07];
 	}
 	
+	\draw[color=gray,line width=1pt,dashed] 
+	plot[domain=0.5:7, samples=100]
+	({\x},{(7.832*\x^2-51.5*\x+121.668)/\teiler});
+
+
 	\punkt{(1,8/\teiler)}
 	\hellpunkt{(2,15/\teiler)}
 	\hellpunkt{(3,26/\teiler)}
@@ -32,9 +36,7 @@
 	\punkt{(6,83/\teiler)}
 	\punkt{(7,110/\teiler)}
 	
-	\draw[color=gray,line width=1pt,dashed] 
-	plot[domain=0.5:7, samples=100]
-	({\x},{(7.832*\x^2-51.5*\x+121.668)/\teiler});
+
 	
 	\def\erpunkt#1{
 		\fill[color=red] #1 circle[radius=0.08];
@@ -45,5 +47,4 @@
 
 	\draw(0,100/\teiler) -- (-0.1,100/\teiler) coordinate[label={left:$100$}];
 	\draw(1,0) -- (1,-0.1) coordinate[label={below:$1$}];		
-\end{tikzpicture}
-%\end{document}
+\end{tikzpicture}
\ No newline at end of file