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22 lines
1.4 KiB
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22 lines
1.4 KiB
Org Mode
:PROPERTIES:
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:ID: b318dc2b-5fa1-48ff-9d33-6fbbdee46a2f
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:END:
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#+title: When reading mathematical texts, write down the simplest possible example
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#+date: "2020-06-27 18:31:40 +08:00"
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#+date_modified: "2021-05-04 20:52:06 +08:00"
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#+language: en
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On practice, writing down the simplest possible examples allows you to get started working on the definitions.
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When you're done with the simplest possible example, you can then start with a more complicated example (relative to the simplest one) until you worked your way to a real mind-boggling example that really made you bang your head to a wall.
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This is one of the foundation to building mathematical intuition.
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That said, this habit can mold well into writing [[id:431532c3-6506-4565-b193-dbfb60eac7d6][Evergreen notes]].
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Since you're dealing with the simplest possible examples, you can write easy-to-understand notes which can help you retain information even more.
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This also makes a good transition in writing more complex topics and more complex examples.
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On the non-practical side, it is said to be a cultural thing for mathematicians.
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It is an unwritten rule for a reader to immediately write down examples and not pass through the text until they have understood it.
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Providing examples is not an obligation from the author but they may do so for the sake of easier understanding.
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However, to make sure you are paying attention, it is a recommendation that you have to practice this habit.
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