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Commit 4ccaed90 authored by Christof Kaufmann's avatar Christof Kaufmann
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Notebooks from applied-cs/data-science@ffced473

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%% Cell type:markdown id:0002-ed24358d9bf975906b56ed5902887b37fb5d60d3a6a7c13a8b7564a8cea tags:
# Pixels
Erstellen Sie ein 3D-Array `img`, indem Sie anstatt jedem Element eines
2D-Arrays wieder eine Liste mit 3 Werten `[R, G, B]` schreiben. Beachten
Sie, dass die `[R, G, B]`-Werte die dritte Achse darstellen, also in die
Tiefe gehen. Verwenden Sie beispielsweise folgende Werte.
<p><img
src="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8"?>
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="248.295pt" height="179.757pt" viewBox="0 0 248.295 179.757" version="1.1">
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%% Cell type:code id:0003-164ad572781bde01e4baeb2c7954cf56e6e2c2bbe7c843a35157e5df961 tags:
```
import numpy as np
import matplotlib.pyplot as plt
```
%% Cell type:markdown id:0005-c4e6fd0ad0df0c219104c8b27d0b0ff2de995d413925ac30f1c0383865b tags:
## Lösung
Wir erstellen einen Vektor von 0, …, 20 und führen ein `reshape` auf
$7 imes 3$ durch um das geforderte Array zu erhalten.
%% Cell type:code id:0006-7a9eb15237d139ea1c4f694a834f054f7a90395d0a05fc45195ad64499e tags:
```
img = np.array([[[200, 0, 30], [ 0, 122, 122], [ 0, 180, 122]],
[[ 0, 180, 222], [ 0, 222, 222], [200, 0, 120]]])
```
%% Cell type:markdown id:0008-418c344b47f3062a837d03f7964f5a33dc80e0a2cbf8485635dc8c28efb tags:
## Tests
Die Shape sollte 2 Zeilen ྾ 3 Spalten ྾ 3 Farben sein:
%% Cell type:code id:0009-a59ee236cec43885d0faa330b17afa026cbc1af11a505a30b71d1686d40 tags:
```
img.shape
```
%% Output
(2, 3, 3)
%% Cell type:markdown id:0010-6cdb7f9704e695452f34503a5eabf8685f1685c2528eac3b064637ed071 tags:
Probieren Sie nun die Pixel als Bild zu zeigen:
%% Cell type:code id:0011-32210e81e701bef24cd8ba117fc3b264331102b21d030462e0e0cf60c94 tags:
```
plt.imshow(img)
```
%% Cell type:markdown id:0012-e15e132b0007cc67ec2ccfe273a623ecda577eca58a9d784c81ff0c3ca9 tags:
und auch:
%% Cell type:code id:0013-6480941f3fcda35bb1f2a2dce8fddc87138c2ac0031e7e282a6739bbd8f tags:
```
plt.imshow(img.reshape((3, 2, 3)))
```
This diff is collapsed.
%% Cell type:markdown id:0005-c49301c38b440d5f680bae1298919020ffdd23be9734d4417a0f951950c tags:
# Ziehung
Erstellen Sie eine Matrix `A` wie dargestellt (Tipp: `arange` und
`reshape`).
| Zeile \\ Spalte | 0 | 1 | 2 |
|-----------------|:---:|:---:|:---:|
| 0 | 0 | 1 | 2 |
| 1 | 3 | 4 | 5 |
| 2 | 6 | 7 | 8 |
| 3 | 9 | 10 | 11 |
| 4 | 12 | 13 | 14 |
| 5 | 15 | 16 | 17 |
| 6 | 18 | 19 | 20 |
Nun ist das Ziel aus jeder Zeile ein Element zufällig auszuwählen.
Erstellen Sie zwei Indizes `i`, `j` für die Zeilen bzw. Spalten, sodass
`A[i, j]` der gewünschte Vektor ist.
## Lösung
Wir erstellen einen Vektor von 0, …, 20 und führen ein `reshape` auf
$7 imes 3$ durch um das geforderte Array zu erhalten.
%% Cell type:code id:0006-3c437238c279b4d5d83cea255b3777e70d4207076b8a3637e9a32a715e2 tags:
```
import numpy as np
rng = np.random.default_rng()
A = np.arange(21).reshape((7, 3))
```
%% Cell type:markdown id:0007-327a66afac1eab2432a0480fcd7b10ef52d81e7143622cb4066439769e6 tags:
Anschließend wählen wir für `i` einfach einen Vektor 0, …, 6, weil wir
ja aus *jeder* Zeile ein Element ziehen wollen und für die Spalten
erzeugen wir einen Vektor mit 7 zufälligen Elementen zwischen 0 und 2,
entsprechend den Spaltenindizes. Dann kombiniert die komplexe
Indizierung `A[i, j]` die Indizes paarweise und wir erhalten die
gewünschten Elemente:
%% Cell type:code id:0008-4b94664435e9c237fcbbad2b5e67b9c4d05ebc8584b76d3fed083906ae7 tags:
```
i = np.arange(A.shape[0]) # hier: [0 1 2 3 4 5 6]
j = rng.choice(A.shape[1], size=A.shape[0])
```
%% Cell type:markdown id:0010-6f9f7a194530ee6f13ab985ccd222beb82ad15bea8eb7d72b7614d2ad2a tags:
## Tests
Wir geben die zufällig gewählten Elemente aus:
%% Cell type:code id:0011-0178a0acabe8bd93bb9cf9c7c95b8ec1cf03ba7595d0b51deb5ab06a987 tags:
```
print(A[i, j]) # Ausgabe zufällig
```
%% Output
[ 0 4 8 9 12 17 18]
%% Cell type:markdown id:0012-186463924299dea0ec08c78350e54d4a94a4906f8f80aab3b60eeee4efb tags:
Die Elemente müssen aufsteigend sein und die Differenz kann nicht größer
als 5 sein:
%% Cell type:code id:0013-4ddd9b6771d97bf4d423827f9fee4c05bd072fb576877c0595a533d9564 tags:
```
sel = A[i, j]
diff = sel[1:] - sel[:-1]
(0 < diff) & (diff < 6)
```
%% Output
array([ True, True, True, True, True, True])
%% Cell type:markdown id:0004-a879d4223ad0e70ac0e928063da49e5817af4a9d500a1a253d5af16ff64 tags:
# Ziehung
Erstellen Sie eine Matrix `A` wie dargestellt (Tipp: `arange` und
`reshape`).
| Zeile \\ Spalte | 0 | 1 | 2 |
|-----------------|:---:|:---:|:---:|
| 0 | 0 | 1 | 2 |
| 1 | 3 | 4 | 5 |
| 2 | 6 | 7 | 8 |
| 3 | 9 | 10 | 11 |
| 4 | 12 | 13 | 14 |
| 5 | 15 | 16 | 17 |
| 6 | 18 | 19 | 20 |
Nun ist das Ziel aus jeder Zeile ein Element zufällig auszuwählen.
Erstellen Sie zwei Indizes `i`, `j` für die Zeilen bzw. Spalten, sodass
`A[i, j]` der gewünschte Vektor ist.
Hier Ihr Code:
%% Cell type:code id:0005-44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855 tags:
```
```
%% Cell type:markdown id:0007-6f9f7a194530ee6f13ab985ccd222beb82ad15bea8eb7d72b7614d2ad2a tags:
## Tests
Wir geben die zufällig gewählten Elemente aus:
%% Cell type:code id:0008-0178a0acabe8bd93bb9cf9c7c95b8ec1cf03ba7595d0b51deb5ab06a987 tags:
```
print(A[i, j]) # Ausgabe zufällig
```
%% Output
[ 0 4 8 9 12 17 18]
%% Cell type:markdown id:0009-186463924299dea0ec08c78350e54d4a94a4906f8f80aab3b60eeee4efb tags:
Die Elemente müssen aufsteigend sein und die Differenz kann nicht größer
als 5 sein:
%% Cell type:code id:0010-4ddd9b6771d97bf4d423827f9fee4c05bd072fb576877c0595a533d9564 tags:
```
sel = A[i, j]
diff = sel[1:] - sel[:-1]
(0 < diff) & (diff < 6)
```
%% Output
array([ True, True, True, True, True, True])
Source diff could not be displayed: it is too large. Options to address this: view the blob.
Source diff could not be displayed: it is too large. Options to address this: view the blob.
"Month","Accidental deaths in USA: monthly, 1973 ? 1978"
"1973-01",9007
"1973-02",8106
"1973-03",8928
"1973-04",9137
"1973-05",10017
"1973-06",10826
"1973-07",11317
"1973-08",10744
"1973-09",9713
"1973-10",9938
"1973-11",9161
"1973-12",8927
"1974-01",7750
"1974-02",6981
"1974-03",8038
"1974-04",8422
"1974-05",8714
"1974-06",9512
"1974-07",10120
"1974-08",9823
"1974-09",8743
"1974-10",9129
"1974-11",8710
"1974-12",8680
"1975-01",8162
"1975-02",7306
"1975-03",8124
"1975-04",7870
"1975-05",9387
"1975-06",9556
"1975-07",10093
"1975-08",9620
"1975-09",8285
"1975-10",8433
"1975-11",8160
"1975-12",8034
"1976-01",7717
"1976-02",7461
"1976-03",7776
"1976-04",7925
"1976-05",8634
"1976-06",8945
"1976-07",10078
"1976-08",9179
"1976-09",8037
"1976-10",8488
"1976-11",7874
"1976-12",8647
"1977-01",7792
"1977-02",6957
"1977-03",7726
"1977-04",8106
"1977-05",8890
"1977-06",9299
"1977-07",10625
"1977-08",9302
"1977-09",8314
"1977-10",8850
"1977-11",8265
"1977-12",8796
"1978-01",7836
"1978-02",6892
"1978-03",7791
"1978-04",8129
"1978-05",9115
"1978-06",9434
"1978-07",10484
"1978-08",9827
"1978-09",9110
"1978-10",9070
"1978-11",8633
"1978-12",9240
\ No newline at end of file
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