# Complex mathematical equation - untitled - Complex system - Wikipedia

For convenience, at times we use the term
sequence rather than complex sequence. If we want a
function s to represent an arbitrary
sequence, we can specify it by writing , and
so on. The values , are
called the terms of a sequence, and mathematicians, being generally
lazy when it comes to such things, often refer to
as the sequence itself, even though they are really speaking of the
range of the sequence when they do so. You will usually
see a sequence written as ,
,
or when the indices are understood, as . Mathematicians
are also not so fussy about starting a sequence
at ,
so that ,
,
etc., would also be acceptable notation, provided all terms were
defined. For example, the sequence r
given by Equation (4-4) could be written
in a variety of ways:

, , , ,
,
...

L a T e X allows two writing modes for mathematical expressions: the inline mode and the display mode. The first one is used to write formulas that are part of a text. The second one is used to write expressions that are not part of a text or paragraph, and are therefore put on separate lines.

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