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Update README.md
Signed-off-by: David Rotermund <54365609+davrot@users.noreply.github.com>
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@ -12,7 +12,7 @@ Questions to [David Rotermund](mailto:davrot@uni-bremen.de)
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## Examples
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## Examples
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$$\sum_i a_{i,i}$$
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$$b = \sum_i a_{i,i}$$
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```python
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```python
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import numpy as np
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import numpy as np
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@ -80,6 +80,29 @@ Output:
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[ 4 9 14 19 24]]
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[ 4 9 14 19 24]]
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```
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```
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$$b = \sum_i a_i a_i$$
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```python
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import numpy as np
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a = np.arange(0, 5)
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print(a) # -> [0 1 2 3 4]
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print(np.einsum("i,i", a, a)) # -> 30
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```
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$$c(i) = \sum_j a_{i,j} b_j$$
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```python
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import numpy as np
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a = np.arange(0, 25).reshape(5, 5)
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b = np.arange(0, 5)
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print(a)
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print()
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print(b) # -> [0 1 2 3 4]
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print(np.einsum("ij,j", a, b)) # -> [ 30 80 130 180 230]
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```
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## [numpy.einsum](https://numpy.org/doc/stable/reference/generated/numpy.einsum.html)
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## [numpy.einsum](https://numpy.org/doc/stable/reference/generated/numpy.einsum.html)
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