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It is called a formula.
Yes, that is correct.
A PET scan would be most useful for detecting brain areas that are most active as a person performs mathematical calculations.
No. The RAM (in the DIMM) is a storage area. The CPU performs mathematical operations.
Etymologically, they are the same activity. Both involve someone (the operator = mathematician or doctor) performing a procedue (operation: mathematical or medical) on something (operands: functional arguments or patients).