The document focuses on arithmetic in different numeral systems, specifically bases 2 through 9 and 12. It explains how computers use base 2 (binary) for calculations and how conventional base 10 arit...The document focuses on arithmetic in different numeral systems, specifically bases 2 through 9 and 12. It explains how computers use base 2 (binary) for calculations and how conventional base 10 arithmetic changes with non-decimal bases. It details the construction of addition tables for these bases and illustrates addition and subtraction through examples. Key examples include calculations in bases 6, 7, and 12, and it also highlights common errors.
One of the principal ways in which mathematical writing differs from ordinary writing is in its incredible brevity. If one can prove a truly interesting, novel result in a single page – they’ll probab...One of the principal ways in which mathematical writing differs from ordinary writing is in its incredible brevity. If one can prove a truly interesting, novel result in a single page – they’ll probably hand over the sheepskin. How is this great brevity achieved? By inserting single symbols in place of a whole paragraph’s worth of words! One class of symbols in particular has immense power – so-called relational symbols.
