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while I understand your point, I often geht frustrated when there's text what should have been maths. It is very easy to skip details which are then hard to pin
by LeanderK 6y ago
while I understand your point, I often geht frustrated when there's text what should have been maths. It is very easy to skip details which are then hard to pin down when you try to translate it into Mathmatical notation. It can become a real problem.
Many fields have over time developed a Mathmatical notation that's most suitable to it. A notation where irrelevant details are just skipped over (e.g. with neural networks we don't carry explicitly our implicit parameters around, it would be very noisy to have thetas everywhere. Statistics/Probability has other common notation, e.g. the usual symbol for the logical and/logical or meaning min/max). One needs to learn how to read it, bu that's just practice.
Regards your comment about substitute in normal human language, often it's just easier than prose. You can of course explain something in normal language, but whats a quick equation or formal statement might become a whole paragraph in english. If you're comfortable with Mathmatical notation it's just faster to read, easier to understand and more "specific" than prose. It only looks like a crazy mess of characters if you can't connect the dots, it becomes "obvious" very quickly.
I always try to formulate Mathmatical ideas in Mathmatical notation first. It's ways easier to spot weaknesses or details you've not considered compared to prose.