Mercurial > octave
view doc/interpreter/set.txi @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | f3272029d42c |
children | 597f3ee61a48 |
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@c Copyright (C) 1996-2022 The Octave Project Developers @c @c This file is part of Octave. @c @c Octave is free software: you can redistribute it and/or modify it @c under the terms of the GNU General Public License as published by @c the Free Software Foundation, either version 3 of the License, or @c (at your option) any later version. @c @c Octave is distributed in the hope that it will be useful, but @c WITHOUT ANY WARRANTY; without even the implied warranty of @c MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the @c GNU General Public License for more details. @c @c You should have received a copy of the GNU General Public License @c along with Octave; see the file COPYING. If not, see @c <https://www.gnu.org/licenses/>. @node Sets @chapter Sets Octave has a number of functions for managing sets of data. A set is defined as a collection of unique elements and is typically represented by a vector of numbers sorted in ascending order. Any vector or matrix can be converted to a set by removing duplicates through the use of the @code{unique} function. However, it isn't necessary to explicitly create a set as all of the functions which operate on sets will convert their input to a set before proceeding. @DOCSTRING(unique) @DOCSTRING(uniquetol) @menu * Set Operations:: @end menu @node Set Operations @section Set Operations Octave supports several basic set operations. Octave can compute the union, intersection, and difference of two sets. Octave also supports the @emph{Exclusive Or} set operation. The functions for set operations all work in the same way by accepting two input sets and returning a third set. As an example, assume that @code{a} and @code{b} contains two sets, then @example union (a, b) @end example @noindent computes the union of the two sets. Finally, determining whether elements belong to a set can be done with the @code{ismember} function. Because sets are ordered this operation is very efficient and is of order O(log2(n)) which is preferable to the @code{find} function which is of order O(n). @DOCSTRING(intersect) @DOCSTRING(union) @DOCSTRING(setdiff) @DOCSTRING(setxor) @DOCSTRING(ismember) @DOCSTRING(powerset)