Too much emphasis on ever-present nailing down of meaning in notation will daunt and slow the reader (perhaps to a grinding halt), while eloquently spare notation may baffle the reader as to what interpretation is intended. Saul Hudson, better known by his nickname Slash, is a British-American musician, record producer, film producer and songwriter.He is best known as the former lead guitarist of the American hard rock band Guns N' Roses, with whom he achieved worldwide success in the late 1980s and early 1990s. In real-life mathematics, a fine balance has to be struck. They need to parse their input strings character by character, and are unfazed by unnecessarily cluttered notation. Quite the opposite is the case for computers. Notice that, in this simple example as in other cases, the default settings of LaTeX respect the conventions, as Donald Knuth doubtless intended. For example, $a\!/\!b\,c$ suggests $(a/b)c$ rather than $a/bc$. However, spacing is important here, and you need to check that the LaTeX output is right in this respect if you use these conventions. It is a long-standing convention of mathematics that $a/bc$ means $a/(bc).$ By reducing the clutter of parentheses, this convention, along with writing $\sin 2x$ rather than $\sin(2x)$ and so on, makes mathematics more readable for humans.
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