In linear algebra the norm is the function that assigns a positive length or size to a number. So for example the norm of negative six is six. It is usually denoted with double vertical lines x.
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It is a vector space with a quasi norm instead of a norm. A quasi norm is a variation of a norm which follows all the norm axioms except for the triangle inequality where we have x+y< or = K(x+y)for some K>1
the main branches of mathematics are algebra, number theory, geometry and arithmetic.
Mathematics is the academic discipline of deriving true statements from axioms. Its most common application are the common rules of computation. Note that the rules of computation are an application of mathematics.
Number Theory
Do you mean this symbol ∈ (or backwards 3) if so, it means is an element of; Also, ∉ (with strikethrough) (or backwards 3 with strikethrough) is the symbol for "is not an element of" used in set membership. See also Element (mathematics) and Set (mathematics)