Kingdom of Magic-Era Saimi use polish notation for basic arithmatic (instead of, say, 4+5 you'd write + 4 5, essentially). This comes naturally from the Saimiar language, where you'd say i trêsec xoike soi xil, "IMP add four and five" or i karøpec xil ŋês, IMP-empty-CAUS five one-PREP, "lessen five by one". The symbols for numbers are logographs borrowed from the Elésu writing system, which is also the source of the (alphabetic) Saimi writing system. The operators are the stylized Saimi letters t, k, e, and m, for trêsec, "add", karøpec, "lessen", ebesfi, "increase" (= multiply) and mybesfi, "unincrease" (= divide), respectively.
Polish notation (or for the Saimi, the natural way you'd go about writing math on a page) has the nice advantage that you don't need grouping operators, and it's very natural to think of numbers as arguments to mathematical functions, which is something the Saimi do have a sense of by the Kingdom of Magic era. The most common word for a mathematical function is perencir, literally "relationship", but the symbol for one on a page borrows the Elésu logograph for the Elésu word for "relationship" (borrowing Elésu logographs for mathematical or scientific use is a common theme in KoM Saimi scholarship). Arguments are separated by a stylied letter s, for soi, "and", just like you'd use a comma in standard western notation, but there is no notion of parentheses in the Saimi notation.
The guy who formalized the calculus (a mage by the name of Kêxuźi Śilu Dhenølidhat) made up symbols out of whole cloth for differentiation and integration, that looked sort of like an Elésu logographs but were not actually on any official list of them.
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