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Fix typos in tutorials 1 and 2 (#355)
Signed-off-by: LateNightIceCream <richardgruenert@live.com>
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examples/Sionna_tutorial_part1.ipynb

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"source": [
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"As can be seen, the `Mapper` class inherits from `Layer`, i.e., implements a Keras layer.\n",
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"\n",
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"This allows to simply built complex systems by using the [Keras functional API](https://keras.io/guides/functional_api/) to stack layers."
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"This allows to simply build complex systems by using the [Keras functional API](https://keras.io/guides/functional_api/) to stack layers."
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"id": "aca7a98b",
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"metadata": {},
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"In *Eager* mode, we can directly access the values of each tensor. This simplify debugging."
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"In *Eager* mode, we can directly access the values of each tensor. This simplifies debugging."
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"id": "bfc184ba-c090-4443-9cd6-c217b3f64052",
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"metadata": {},
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"It is typically more convenient to wrap a Sionna-based communication system into a [Keras models](https://keras.io/api/models/model/).\n",
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"It is typically more convenient to wrap a Sionna-based communication system into a [Keras model](https://keras.io/api/models/model/).\n",
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"\n",
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"These models can be simply built by using the [Keras functional API](https://keras.io/guides/functional_api/) to stack layers.\n",
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"\n",
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"metadata": {},
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"One of the fundamental paradigms of Sionna is batch-processing.\n",
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"Thus, the example above could be executed with for arbitrary batch-sizes to simulate `batch_size` codewords in parallel.\n",
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"Thus, the example above could be executed for arbitrary batch-sizes to simulate `batch_size` codewords in parallel.\n",
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"\n",
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"However, Sionna can do more - it supports *N*-dimensional input tensors and, thereby, allows the processing of multiple samples of multiple users and several antennas in a single command line.\n",
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"Let's say we want to encoded `batch_size` codewords of length `n` for each of the `num_users` connected to each of the `num_basestations`. \n",
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"Let's say we want to encode `batch_size` codewords of length `n` for each of the `num_users` connected to each of the `num_basestations`. \n",
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"This means in total we transmit `batch_size` * `n` * `num_users` * `num_basestations` bits."
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]
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examples/Sionna_tutorial_part2.ipynb

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"id": "318aa681",
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"`gradient` is a list of tensor, each tensor corresponding to a trainable variable of our model.\n",
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"`gradient` is a list of tensors, each tensor corresponding to a trainable variable of our model.\n",
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"\n",
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"For this model, we only have a single trainable tensor: The constellation of shape [`2`, `2^NUM_BITS_PER_SYMBOL`], the first dimension corresponding to the real and imaginary components of the constellation points.\n",
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"\n",
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"id": "d9ef8110",
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"Let compare the constellation before and after the gradient application"
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"Let's compare the constellation before and after the gradient application"
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