Several important formulas, involving certain functions are useful expressions in geometry, trigonometry and others. The identity of mathematics itself evolves from pre-indoeuropean roots of words meaning "that which is learnt”, or "what one gets to know", hence also "study" and "science", as in modern senses applies to a "lesson". The word máthēma for "mathematics" came to have the narrower and more technical meaning of a "mathematical study”. Even in classical times mathemethikhaé relates to learning, as “one disposed to learn”, referring to the ability to think clearly with an open mind.
As such mathematics can be the rhythm and time, the use of grouping, or use of space. Mathematics is found in all aspects of dance identity. With dance some emphasise its abstractness, some emphasise certain topics within mathematics. Mathematics was there even before music. Thus music evolved from the mathematics giving a sense of pleasant satisfaction or enjoyment of sound waves.
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