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What're the orders for equation expressing?
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When doing an equation in programming or real calculations, equation expression takes in a specific order. In a single equation, I use the PEMDAS/GEMDAS order, which goes:
- Perform all operations that are grouped up by parentheses first before non-grouped ones; the more it's grouped will be performed first
- In the (grouped) equation, any values to be exponentiated will be exponentiated first
- If multiplication goes first before division in the (grouped) equation, multiply the values to be multiplied, and vice versa
- If addition goes first before subtraction in the (grouped) equation, add the values to be added, and vice versa
I want to explore further though, see if there are any other orders out there so I can figure how I can solve other complex equations, like the modulo, which is not in PEMDAS for all I know.
Question: Are there any other equation expression orders that are considered valid by professional mathematicians?
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