What if a notation was adopted by, let's say the persians in the 6th century ?

[TachfineAlMansour]

What would be the effects on the science, if Al-Khawarizmi, instead of writing his Algebra in sentences, used symbols to describe what he demonstrated ? What if the idea of functions and their graph spread in the high middle age ? How would affect science and its history ?
P-S : I don't say that Khawarizmi will exist, just an exemple.

 

[Timeline Junkie]

What would be the effects on the science, if Al-Khawarizmi, instead of writing his Algebra in sentences, used symbols to describe what he demonstrated ? What if the idea of functions and their graph spread in the high middle age ? How would affect science and its history ?
P-S : I don't say that Khawarizmi will exist, just an exemple.

This is actually a really interesting question. I've also lately been thinking about how mathematical and scientific notations are based off the Hindu-Arabic numerals, the Latin and Greek Alphabets, and other symbols developed by individuals over the years. Now if Al-Khwarizmi used a specific symbolic notation for his Algebra, then it would be likely that this notation would be adopted, modified, and built upon. His ATL Algebraic notation would most certainly be accompanied by a written explanation of his symbols and notation on whole. I could see mathematics as a field being consolidated at an early age with a common notation being developed and utilized from the Islamic World to Western Europe, which would only propel advances in mathematics and science much earlier than they occurred in OTL.