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After refurbishing the project we prepare a new relaease.
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Alexander Hess 2024-04-08 22:13:31 +02:00
commit 94e5112f10
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10
11_classes/03_content.ipynb
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@ -8,7 +8,7 @@
}
},
"source": [
"**Note**: Click on \"*Kernel*\" > \"*Restart Kernel and Clear All Outputs*\" in [JupyterLab](https://jupyterlab.readthedocs.io/en/stable/) *before* reading this notebook to reset its output. If you cannot run this file on your machine, you may want to open it [in the cloud <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_mb.png\">](https://mybinder.org/v2/gh/webartifex/intro-to-python/develop?urlpath=lab/tree/11_classes/03_content.ipynb)."
"**Note**: Click on \"*Kernel*\" > \"*Restart Kernel and Clear All Outputs*\" in [JupyterLab](https://jupyterlab.readthedocs.io/en/stable/) *before* reading this notebook to reset its output. If you cannot run this file on your machine, you may want to open it [in the cloud <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_mb.png\">](https://mybinder.org/v2/gh/webartifex/intro-to-python/main?urlpath=lab/tree/11_classes/03_content.ipynb)."
]
},
{
@ -446,7 +446,7 @@
"source": [
"By implementing special methods such as `.__add__()`, `.__sub__()`, `.__mul__()`, and some others, we can make user-defined data types emulate how numeric types operate with each other (cf., [reference <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_py.png\">](https://docs.python.org/3/reference/datamodel.html#emulating-numeric-types)): Then, `Vector` and `Matrix` instances can be added together, subtracted from one another, or be multiplied together. We use them to implement the arithmetic rules from linear algebra.\n",
"\n",
"The OOP concept behind this is **[operator overloading <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Operator_overloading)** as first mentioned in the context of `str` concatenation in [Chapter 1 <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_nb.png\">](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/develop/01_elements/00_content.ipynb#Operator-Overloading)."
"The OOP concept behind this is **[operator overloading <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_wiki.png\">](https://en.wikipedia.org/wiki/Operator_overloading)** as first mentioned in the context of `str` concatenation in [Chapter 1 <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_nb.png\">](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/main/01_elements/00_content.ipynb#Operator-Overloading)."
]
},
{
@ -599,7 +599,7 @@
}
},
"source": [
"To check if `other` is a scalar, we need to specify what data type constitutes a scalar. We use a goose typing strategy as explained in [Chapter 5 <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_nb.png\">](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/develop/05_numbers/02_content.ipynb#Goose-Typing): Any object that behaves like a `numbers.Number` from the [numbers <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_py.png\">](https://docs.python.org/3/library/numbers.html) module in the [standard library <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_py.png\">](https://docs.python.org/3/library/index.html) is considered a scalar.\n",
"To check if `other` is a scalar, we need to specify what data type constitutes a scalar. We use a goose typing strategy as explained in [Chapter 5 <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_nb.png\">](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/main/05_numbers/02_content.ipynb#Goose-Typing): Any object that behaves like a `numbers.Number` from the [numbers <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_py.png\">](https://docs.python.org/3/library/numbers.html) module in the [standard library <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_py.png\">](https://docs.python.org/3/library/index.html) is considered a scalar.\n",
"\n",
"For example, the integer `1` is an instance of the built-in `int` type. At the same time, [isinstance() <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_py.png\">](https://docs.python.org/3/library/functions.html#isinstance) also confirms that it is a `numbers.Number` in the abstract sense."
]
@ -1715,7 +1715,7 @@
}
},
"source": [
"We implement the `.__eq__()` (cf., [reference <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_py.png\">](https://docs.python.org/3/reference/datamodel.html#object.__eq__)) method to control how the comparison operator `==` is carried out. For brevity, we show this only for the `Vector` class. The `.__eq__()` method exits early as soon as the first pair of entries does not match. Also, for reasons discussed in [Chapter 5 <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_nb.png\">](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/develop/05_numbers/01_content.ipynb#Imprecision), we compare the absolute difference of two corresponding entries to a very small `zero_threshold` that is stored as a class attribute shared among all `Vector` instances. If the `Vector`s differ in their numbers of entries, we fail loudly and raise a `ValueError`."
"We implement the `.__eq__()` (cf., [reference <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_py.png\">](https://docs.python.org/3/reference/datamodel.html#object.__eq__)) method to control how the comparison operator `==` is carried out. For brevity, we show this only for the `Vector` class. The `.__eq__()` method exits early as soon as the first pair of entries does not match. Also, for reasons discussed in [Chapter 5 <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_nb.png\">](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/main/05_numbers/01_content.ipynb#Imprecision), we compare the absolute difference of two corresponding entries to a very small `zero_threshold` that is stored as a class attribute shared among all `Vector` instances. If the `Vector`s differ in their numbers of entries, we fail loudly and raise a `ValueError`."
]
},
{
@ -2239,7 +2239,7 @@
}
},
"source": [
"Only an all `0`s `Vector` is `False` in a boolean context. As mentioned in [Chapter 3 <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_nb.png\">](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/develop/03_conditionals/00_content.ipynb#Truthy-vs.-Falsy), commonly we view an *empty* sequence as falsy; however, as we do not allow `Vector`s without any entries, we choose the all `0`s alternative. In that regard, the `Vector` class does not behave like the built-in sequence types."
"Only an all `0`s `Vector` is `False` in a boolean context. As mentioned in [Chapter 3 <img height=\"12\" style=\"display: inline-block\" src=\"../static/link/to_nb.png\">](https://nbviewer.jupyter.org/github/webartifex/intro-to-python/blob/main/03_conditionals/00_content.ipynb#Truthy-vs.-Falsy), commonly we view an *empty* sequence as falsy; however, as we do not allow `Vector`s without any entries, we choose the all `0`s alternative. In that regard, the `Vector` class does not behave like the built-in sequence types."
]
},
{