LaTeX Cookbook

Collection of LaTeX recipes

Simple commutative diagram

In algebra, especially in category theory, we use so called commutative diagrams. Vertices denote objects such as groups or modules. Arrows represent morphisms, which are maps between those objects.

The characteristic quality of such diagrams is that they commute. This means, you get the same result by composition, not matter which directed way in the diagram you go, if start point and end point are the same.

Such diagrams are used a lot for visualizing algebraic properties. Whole proofs are done by chasing through such a diagram. That’s why our example deals with it. It is a diagram visualizing the first isomorphism theorem in group theory.

We use the TikZ package, because it offers a wealth of arrow heads and tails, and useful graphic tools for positioning and labeling.

The code is fully explained in the LaTeX Cookbook, Chapter 10, Advanced Mathematics, Drawing commutative diagrams.

map composition latex

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List of LaTeX mathematical symbols

Pending changes are displayed on this page

All the predefined mathematical symbols from the T e X package are listed below. More symbols are available from extra packages.

  • 1 Greek letters
  • 2 Unary operators
  • 3 Relation operators
  • 4 Binary operators
  • 5 Negated binary relations
  • 6 Set and/or logic notation
  • 8 Delimiters
  • 10 Other symbols
  • 11 Trigonometric functions
  • 13 External links

Greek letters

Unary operators, relation operators, binary operators, negated binary relations, set and/or logic notation, other symbols, trigonometric functions.

Sections remaining to be done : Table 3 onwards from symbols.pdf   (To do)   [1]

External links

  • Scott Pakin, The Comprehensive L a T e X Symbol List , 2017. (Lists thousands of symbols and the corresponding L a T e X commands that produce them.)
  • Comprehensive T e X Archive Network
  • http://ctan.cms.math.ca/tex-archive/info/symbols/comprehensive/SYMLIST
  • Mathematical symbols

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Map of the 2100 Moscow Metro

July 31, 2010

Planning on taking the Moscow metro at the beginning of the next century? If so, be sure to have this map handy — it should clear things up for you:

This map — and the version detailing the current Moscow Metro , which is slightly more sane — was made by Artemy Lebedev . In all seriousness, his map of the 2010 metro is a nice improvement to the current standard .

Michelle Berki's profile

Moscow Metro Map

Moscow subway map information design pictogram metro Moscow metro

This re-design of the Moscow metro map focuses on the clarity of the information and the personality of the city.

Creative fields.

map composition latex

Information Architecture

  • information design
  • Moscow metro

Attribution, No Derivatives

Fontesk

Moscow Metro Font

moscow_metro-6

Moscow Metro is a multi-line display typeface inspired by the Moscow underground map. It comes in Regular and Color versions.

Moscow Metro is ideal for posters and headlines, neon signage and other artworks.

  • Share by email

Designed by: Nadira Filatova Website

License: free for commercial use.

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IMAGES

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COMMENTS

  1. math mode

    Is there a circle symbol for the composition of two functions? Or do I have to resort to using other ways to represent that? ... I actually needed to google "latex combine function symbol", to find this question. - ohcibi. May 15, 2016 at 17:40 ... The symbol for a map which is an isomorphism? 17. Symbol: Center of Mass (dowelpin) ...

  2. Create a diagram to display composition of functions

    Create a diagram to display composition of functions Ask Question Asked 11 years, 4 months ago Modified 11 years, 4 months ago Viewed 4k times 7 So as to produce exercises about compositions of function, I would like to produce something like this (ugly) picture. From LaTeX point of view, the syntax could be like this :

  3. How to properly align this composition of maps?

    it isn't clear what you want. the space is from the a on the 2nd row. Your arrow chains have no natural alignment: the first row only has one item between the arrows, the second row has two (y and a) - David Carlisle. Oct 6, 2022 at 16:53. @DavidCarlisle I would like the two elements between the two \mapsto arrows in the second row two be ...

  4. Simple commutative diagram

    Simple commutative diagram by stefan January 1, 2021 In algebra, especially in category theory, we use so called commutative diagrams. Vertices denote objects such as groups or modules. Arrows represent morphisms, which are maps between those objects. The characteristic quality of such diagrams is that they commute.

  5. PDF LaTeX Math Symbols

    Such diagrams have the following characteristics: • Specified as a matrix of entries that are automati- cally aligned in rows and columns.

  6. PDF JOURNAL OF LATEX CLASS FILES, VOL. 14, NO. 8, AUGUST 2015 1 Mapping

    In practice, a map between two shapes is commonly represented by two meshes with same connectivity and different embedding. The standard approach is ... They employ composition of maps to intermediate domains such as coarse base complexes [23], [24] or some. JOURNAL OF LATEX CLASS FILES, VOL. 14, NO. 8, AUGUST 2015 3

  7. elementary set theory

    0. To the question in topic: the composition of maps is another map, defined this way: (f ∘ ϕ)(x) =def f(ϕ(x)) ( f ∘ ϕ) ( x) = def f ( ϕ ( x)) We take first the value of ϕ ϕ in x x and then the value of f f in the value of ϕ ϕ, ϕ(x) ϕ ( x). Of course f f and ϕ ϕ must be defined on "compatible" sets, like in your example ...

  8. How to Make The Symbol for Function Composition in LaTeX

    Here is the LaTeX code for the function composition symbol:)$(f \\circ g)(x)$My Other LaTeX Videos: https://www.youtube.com/playlist?list=PLO1y6V1SXjjM1rqKCKM...

  9. LaTeX math symbol macro

    3 Answers Sorted by: 3 Try the following (not tested): \newcommand {\mycomparator} {\stackrel {?} {\circ}} Also look up \mathrel, it can be used to make arbitrary symbolds into a relation for correct math spacing. Mathematically your idea is not so brilliant, as different relations obey different rules.

  10. PDF The karnaugh-map package

    1 Usage karnaugh-map The karnaugh-map environment is the base for this package, and everything re- lated to this package happens inside an instances of this environment. Usage: \begin {karnaugh-map} (hoptionsi) See section 1.3.

  11. Making concept maps in Latex

    I found a very nice concept map which was adapted from beamer here: https://tex.stackexchange.com/questions/235414/drawing-concept-maps-in-beamer and I was hoping to apply something like this to a tex document. So far what I have is as follows: \documentclass{article} \usepackage{graphicx} \usepackage{tikz} \usepackage[T1]{fontenc}

  12. Mathematical expressions

    LaTeX's features for typesetting mathematics make it a compelling choice for writing technical documents. This article shows the most basic commands needed to get started with writing maths using LaTeX. Writing basic equations in LaTeX is straightforward, for example: \documentclass{ article } \begin{ document }

  13. Positioning images and tables

    LaTeX is an editing tool that takes care of the format so you only have to worry about the contents of your document; nevertheless, better control of floating elements is sometimes necessary. This article explains how to position images and tables in a LaTeX document. Contents 1 Introduction 2 Positioning images 2.1 Basic positioning

  14. List of LaTeX mathematical symbols

    All the predefined mathematical symbols from the TeX package are listed below. More symbols are available from extra packages. Contents. 1Greek letters. 2Unary operators. 3Relation operators. 4Binary operators. 5Negated binary relations. 6Set and/or logic notation.

  15. Map Composition and Layout

    Map composition deals primarily with a map's visual hierarchy; it is the process of deciding which map elements, and components within the map area, to emphasize and promote over others to best communicate your message to map users. Web map layout is intrinsically tied to decisions you make about your map's composition.

  16. List of Greek letters and math symbols

    An online LaTeX editor that's easy to use. No installation, real-time collaboration, version control, hundreds of LaTeX templates, and more.

  17. tables

    1 Answer Sorted by: 8 You cannot use align* in a table cell. You can instead use aligned, but tabular is not needed. \documentclass {article} \usepackage {amsmath} \begin {document} \ [ \boxed { \begin {aligned} {\cdot} : G \times G & \longrightarrow G \\ (g,h) & \longmapsto g \cdot h = gh \end {aligned} } \] \end {document} Share

  18. math mode

    1 Answer. Sorted by: 3. I will chose for to draw your composition of epimorphisms, the classic package to create commutative diagrams: tikz-cd. The use of tikz-cd it makes the reading of switching diagrams better as the picture shown below. \documentclass [a4paper,12pt] {article} \usepackage {tikz-cd,mathtools,amssymb} \begin {document} \begin ...

  19. Map of the 2100 Moscow Metro

    This map — and the version detailing the current Moscow Metro, which is slightly more sane — was made by Artemy Lebedev. In all seriousness, his map of the 2010 metro is a nice improvement to the current standard. @pmylund — Subscribe — Contact.

  20. Yuzhny prospekt, 6к1, Elektrostal

    Get directions to Yuzhny prospekt, 6к1 and view details like the building's postal code, description, photos, and reviews on each business in the building

  21. Moscow Metro Map on Behance

    This re-design of the Moscow metro map focuses on the clarity of the information and the personality of the city.

  22. tikz pgf

    The first line of the diagram will be the standard f:X-> Y. The second line will be rotated membership symbols for the domain and codomain. The third line will be something like x \mapsto f (x). So far this is what I've tried:

  23. Moscow Metro Font › Fontesk

    July 14, 2020 featured in Display. Bold Color Cool Creative Cyrillic Geometric Neon Outlined Retro. Download Moscow Metro font, a multi-line display typeface in two styles, inspired by the Moscow underground map. Moscow Metro is ideal for posters and headlines, neon signage and other artworks.