Braces are these {} and in mathematics it signifies one of many things. It may represent a "Set". It may represent an operation - enclosed within it - that has to be done and evaluated before proceeding to the next level of nesting etc., etc.
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The mathematical term for "mean" is "mean".The popular, or colloquial term for "mean" is "average".
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math
Mean is the mathematical term for average.
Convention is not a mathematical term: it means what is generally done or an accepted way of doing something.