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TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Txfonts Version

of LATEX and AMS-LATEX Symbols

Emre Sermutlu

March 18, 2008

(2)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Introduction I

About This Document

This document lists symbols in standard LATEX, AMS-LATEX and a few additional packages.

The document is optimized for viewing on a computer. I recommend using it full screen (Ctrl+L for Acrobat) and then navigating by clicking the sidebar.

This document uses the Txfonts package, which redefines many symbols.There’s another, standard version.

You may reach the latest version of both files at academic.cankaya.edu.tr/˜sermutlu. Copyright Notice

You may download, upload, post, use and distribute this pdf file freely, provided that you do not add or delete material, split, merge or in any other way modify the file.

This file is provided as is, with no warranties implied.

(3)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Introduction II

Note About Packages

I did not separate the the AMS-LATEX symbols from the standard ones. Do not forget the include

\usepackage{txfonts}before \begin{document} to be able to use these symbols.

In the section Extra, I have included the packages Textcomp, Marvosym, Pifont and Chemarrow to give a taste of the rich world of LATEX. You need to install packages and then write

\usepackage{packagename} to access these symbols. (If you are using MiKTeX, it will install packages automatically at first usage.)

There are many more packages and thousands of symbols not included here. I recommend Scott Pakin’s The

Comprehensive LaTeX Symbol Listfor a complete listing. (It can be reached atwww.ctan.org).

(4)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Introduction III

About the Author

Prepared by Dr. Emre Sermutlu, Department of Mathematics and Computer Science, C¸ ankaya University, Ankara-Turkey.

I started this project for my personal needs, as it was

unfeasible to browse books or search the internet every time I needed an unfamiliar symbol. I am using a computer

whenever I am using LATEX, so I needed a file optimized for viewing on screen, not printing on paper.

I am a fan of Beamer, which is a wonderful class for preparing Power-Point like presentations in LATEX. You are currently seeing the power of Beamer. You can learn more about it at:http://latex-beamer.sourceforge.net Please report errors, omissions, suggestions and any other kind of feedback [email protected].

(5)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

TEXT Symbols I

$ \$

& \&

# \#

% \%

{ \{

} \}

\-

¶ \P

§ \S

† \dag

‡ \ddag ı \i

 \j

BB \t{BB}

U¨ \"{U}

˙I \.{I}

G˜ \˜{G}

A˝ \H{A}

O` \‘{O}

Cˆ \ˆ{C}

Cˇ \v{C}

T˚ \r{T}

´P \’{P}

M˘ \u{M}

N¯ \={N}

E¯ \b{E}

S¸ \c{S}

F. \d{F}

© \copyright r \circledR

O \textcircled{a}a

™ \texttrademark X \checkmark

£ \pounds z \maltese

• \textbullet

\ \textbackslash

| \textbar

\_

– \textendash

— \textemdash

< \textless

> \textgreater

(6)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

TEXT Symbols II

. . . \dots ł \l Ł \L ø \o Ø \O å \aa Å \AA ß \ss SS \SS æ \ae Æ \AE œ \oe Œ \OE

˜ \textasciitilde ˆ \textasciicircum

¡ \textexclamdown

¿ \textquestiondown

‘ \textquoteleft

’ \textquoteright

“ \textquotedblleft

” \textquotedblright

\textvisiblespace º \textordmasculine ª \textordfeminine

* \textasteriskcentered

· \textperiodcentered

(7)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Common Math Symbols

Some of these symbols may appear at other tables for user convenience

, \neq 6 \leqslant

> \geqslant

≈ \approx

≡ \equiv

 \cong ' \simeq

∂ \partial

∞ \infty

∇ \nabla ℵ \aleph

` \ell

∨ \vee

∧ \wedge

∀ \forall

∃ \exists

± \pm

∓ \mp

× \times

÷ \div

∪ \cup

∩ \cap

∈ \in

< \notin

\ \setminus

∅ \varnothing

⊂ \subset

⊃ \supset

· \cdot

 \centerdot

© \copyright z \maltese

→ \to

⇐⇒ \iff

$ \$

£ \pounds

% \%

& \&

{ \{

} \}

\_

¶ \P

§ \S

∗ \ast

† \dag

‡ \ddag

• \bullet o \wr

(8)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Greek Letters

α \alpha β \beta γ \gamma δ \delta λ \lambda ω \omega ψ \psi χ \chi ρ \rho

 \epsilon κ \kappa π \pi φ \phi σ \sigma

θ \theta

υ \upsilon ξ \xi τ \tau ι \iota η \eta ζ \zeta µ \mu ν \nu

% \varrho ε \varepsilon κ \varkappa

$ \varpi ϕ \varphi ς \varsigma ϑ \vartheta

(9)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Greek and Hebrew Letters

Γ \Gamma

∆ \Delta Λ \Lambda Ω \Omega Π \Pi Φ \Phi Ψ \Psi Σ \Sigma Θ \Theta Υ \Upsilon Ξ \Xi z \digamma

Γ \varGamma

∆ \varDelta Λ \varLambda Ω \varOmega Π \varPi Φ \varPhi Ψ \varPsi Σ \varSigma Θ \varTheta Υ \varUpsilon Ξ \varXi

ℵ \aleph i \beth

ג \gimel k \daleth

(10)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Binary Operations I

⊕ \oplus \ominus

⊗ \otimes \odot \oslash

◦ \circ \bigcirc

} \circledcirc

 \circleddash

~ \circledast q \amalg

∪ \cup d \Cup t \sqcup

h \leftthreetimes ] \uplus

 \boxplus \boxminus

 \boxtimes

\boxdot

> \divideontimes

| \intercal u \dotplus

\ \setminus r \smallsetminus

 \centerdot

 \diamond

∩ \cap e \Cap u \sqcap

i \rightthreetimes

 \backepsilon

(11)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Binary Operations II

∨ \vee g \curlyvee Y \veebar n \ltimes o \rtimes a \dashv

` \vdash

 \vDash \Vdash

|= \models

 \Vvdash ./ \bowtie Z \Join

∵ \because

∴ \therefore

& \And

∧ \wedge f \curlywedge Z \barwedge

[ \doublebarwedge

† \dagger

‡ \ddagger 0 \nvdash 2 \nvDash 1 \nVdash 3 \nVDash t \pitchfork _ \smile

` \smallsmile

^ \frown a \smallfrown

• \bullet

(12)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Binary Relations I

 \cong

4 \preccurlyeq 2 \curlyeqprec

≺ \prec

 \preceq v \precapprox - \precsim

 \succ

 \succeq w \succapprox

% \succsim

 \ncong

< \succcurlyeq 3 \curlyeqsucc

⊀ \nprec

 \npreceq

 \precnapprox

 \precnsim

 \nsucc

 \nsucceq

 \succnapprox

 \succnsim

(13)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Binary Relations II

| \mid p \shortmid k \parallel q \shortparallel

∼ \sim

∼ \thicksim ' \simeq v \backsim w \backsimeq

≈ \approx

≈ \thickapprox u \approxeq

≡ \equiv

∝ \propto

∝ \varpropto ( \multimap

- \nmid . \nshortmid

∦ \nparallel / \nshortparallel / \nsim

 \doteq + \doteqdot

G \between

 \asymp

; \fallingdotseq : \risingdotseq l \bumpeq

m \Bumpeq

$ \circeq P \eqcirc

⊥ \perp

(14)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Subset Relations

⊂ \subset

⊆ \subseteq j \subseteqq

@ \sqsubset v \sqsubseteq b \Subset

* \nsubseteq ( \subsetneq

\varsubsetneq

" \nsubseteqq

$ \subsetneqq

& \varsubsetneqq

⊃ \supset

⊇ \supseteq k \supseteqq A \sqsupset w \sqsupseteq c \Supset + \nsupseteq ) \supsetneq

! \varsupsetneq

# \nsupseteqq

% \supsetneqq ' \varsupsetneqq

(15)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Inequalities I

< <

> >

6 \leqslant

> \geqslant

≤ \leq

≥ \geq 5 \leqq

= \geqq

0 \eqslantless 1 \eqslantgtr \lneq

\gneq

≮ \nless

≯ \ngtr \nleqslant \ngeqslant

 \nleq

 \ngeq

 \nleqq

 \ngeqq

 \lneqq \gneqq

\lvertneqq

 \gvertneqq

(16)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Inequalities II

 \ll

 \gg . \lesssim

& \gtrsim / \lessapprox ' \gtrapprox

≶ \lessgtr

≷ \gtrless Q \lesseqgtr R \gtreqless

≪ \lll

≫ \ggg

 \lnsim

 \gnsim

 \lnapprox

 \gnapprox l \lessdot m \gtrdot S \lesseqqgtr T \gtreqqless

(17)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Triangular Relations Harpoons

4 \bigtriangleup . \triangleright 7 \ntriangleright B \vartriangleright B \rhd

D \unrhd

D \trianglerighteq 4 \ntrianglerighteq I \blacktriangleright , \triangleq

5 \bigtriangledown / \triangleleft 6 \ntriangleleft C \vartriangleleft C \lhd

E \unlhd

E \trianglelefteq 5 \ntrianglelefteq J \blacktriangleleft

* \rightharpoonup + \rightharpoondown \rightleftharpoons

 \upharpoonright

 \downharpoonright

( \leftharpoonup ) \leftharpoondown \leftrightharpoons

 \upharpoonleft

 \downharpoonleft

(18)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Arrows I

→ \rightarrow

⇒ \Rightarrow

−→ \longrightarrow

=⇒ \Longrightarrow

↑ \uparrow

⇑ \Uparrow 9 \nrightarrow

; \nRightarrow l \updownarrow m \Updownarrow

% \nearrow - \nwarrow . \swarrow

& \searrow

⇐⇒ \iff

← \leftarrow

⇐ \Leftarrow

←− \longleftarrow

⇐= \Longleftarrow

↓ \downarrow

⇓ \Downarrow 8 \nleftarrow : \nLeftarrow

= \nleftrightarrow

< \nLeftrightarrow

↔ \leftrightarrow

⇔ \Leftrightarrow

←→ \longleftrightarrow

⇐⇒ \Longleftrightarrow

! \leftrightsquigarrow

(19)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Arrows II

⇒ \rightrightarrows

 \rightleftarrows V \Rrightarrow ,→ \hookrightarrow

 \rightarrowtail

# \looparrowright

 \twoheadrightarrow y \curvearrowright

 \circlearrowright d \dashrightarrow

 \Rsh

 \upuparrows 7→ \mapsto 7−→ \longmapsto

⇔ \leftleftarrows

 \leftrightarrows W \Lleftarrow

←- \hookleftarrow

 \leftarrowtail

" \looparrowleft

 \twoheadleftarrow x \curvearrowleft \circlearrowleft c \dashleftarrow

 \Lsh

 \downdownarrows \rightsquigarrow { \leadsto

(20)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Mathematical Operators

The following operators have two different sizes

Y Q

\prod

X P

\sum Z

R \int I

H \oint

" !

\iint

$ #

\iiint

& %

\iiiint

( '

\idotsint

a `

\coprod

[ S

\bigcup

\ T

\bigcap

] U

\biguplus

G F

\bigsqcup

_ W

\bigvee

^ V

\bigwedge

M L

\bigoplus

O N

\bigotimes

K J

\bigodot

(21)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Mathematical Functions I

Pure Functions

Please note that sinx (sin x) and sin x (\sin x) look totally different.

sin \sin cos \cos tan \tan cot \cot sec \sec csc \csc ln \ln dim \dim deg \deg

arcsin \arcsin arccos \arccos arctan \arctan

arg \arg

m mod n m\mod n mmod n m\bmod n m (mod n) m\pmod n m (n) m\pod n

sinh \sinh cosh \cosh tanh \tanh coth \coth lg \lg log \log exp \exp hom \hom ker \ker

(22)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Mathematical Functions II

Functions with Limits

The following functions may take limits below: lim

x→0

This is written as: \lim_{x \to 0}

min \min max \max inf \inf sup \sup det \det gcd \gcd Pr \Pr lim \lim

lim inf \liminf lim \varliminf lim sup \limsup lim \varlimsup inj lim \injlim lim−−→ \varinjlim proj lim \projlim lim←−− \varprojlim

(23)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Miscellaneous Symbols I

= \Im

< \Re

℘ \wp

> \top

⊥ \bot

∀ \forall

∃ \exists

@ \nexists

¬ \neg

∈ \in

< \notin 3 \ni

{ \complement

~ \hbar } \hslash

` \ell

∂ \partial ð \eth

ı \imath

 \jmath k \Bbbk

` \Finv a \Game

∞ \infty

∅ \emptyset

∅ \varnothing

∠ \angle

] \measuredangle

^ \sphericalangle

∫ \smallint

(24)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Miscellaneous Symbols II

∇ \nabla f \mho

 \square

 \Box 4 \triangle M \vartriangle O \triangledown

♦ \lozenge

√ \surd X \checkmark

] \sharp

\ \natural [ \flat 0 \prime 8 \backprime

7 \mapstochar

\ \backslash

 \diagdown

 \diagup

 \blacksquare

^ \Diamond

N \blacktriangle H \blacktriangledown

 \blacklozenge

♥ \heartsuit

♦ \diamondsuit

♠ \spadesuit

♣ \clubsuit

? \star F \bigstar r \circledR s \circledS

(25)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Mathematical Alphabets I

ABCDEFGHI JKLMN OPQRS T UVW XYZ

abcde f ghi jklmnopqrstuvwxyz 1234567890

\mathnormal{...}

ABCDEFGHIJKLMN OPQRSTUVWXYZ

abcdefghijklmnopqrstuvwxyz 1234567890

\mathrm{...}

ABCDEFGHIJKLMN OPQRSTUVWXYZ

abcdefghijklmnopqrstuvwxyz 1234567890

\mathsf{...}

(26)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Mathematical Alphabets II

ABCDEFGHIJKLMN OPQRSTUVWXYZ

abcdefghijklmnopqrstuvwxyz 1234567890

\mathbf{...}

A BC DE F G H I J K L M N OPQRS T U V W X Y Z (Include \usepackage{mathrsfs}

before \begin{document})

\mathscr{...}

ABCDEF GH IJ K LMN

OPQRST UVWXYZ \mathcal{...}

(27)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Mathematical Alphabets III

ABCDEFGHIJKLMN OPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234

\mathfrak{...}

ABCDEFGHIJKLMN OPQRSTUVWXYZ

abcdefghijklmnopqrstuvwxyz 1234567890

αβπθΦΨΩ . . .

∈ ~∂∇ ← ∞∅ . . .

\boldsymbol{...}

(28)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Mathematical Alphabets IV

ABCDEFGHIJKLMN OPQRSTUVWXYZ

\mathbb{...}

‚ƒ„…†‡ˆ‰Š‹ŒŽ

‘’“”•–—˜™š \varmathbb{...}

(29)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Brackets

These are variable sized

( ( [ [

| \vert { \{

h \langle d \lceil b \lfloor

 \lgroup

| \lvert k \lVert z \lmoustache

| \arrowvert

\ \backslash

) ) ] ] k \Vert } \}

i \rangle e \rceil c \rfloor

 \rgroup

| \rvert k \rVert { \rmoustache

k \Arrowvert

 \bracevert

(30)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Brackets - Math Accents

p \ulcorner x \llcorner

↑ \uparrow

↓ \downarrow l \updownarrow

q \urcorner y \lrcorner

⇑ \Uparrow

⇓ \Downarrow m \Updownarrow

˜a \tilde{a}

ˆa \hat{a}

ˇa \check{a}

~a \vec{a}

¯a \bar{a}

´a \acute{a}

`a \grave{a}

˘a \breve{a}

˙a \dot{a}

¨a \ddot{a}

...a \dddot{a}

....a \ddddot{a}

˚a \mathring{a}

(31)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Dots

. . . \ldots lower dots

· · · \cdots center dots ... \ddots diagonal dots ... \vdots vertical dots

. . . \dotfill fill with dots . . . \dots lower or center

· · · \dotsm multiplication

· · · \dotsi dots for integrals

· · · \dotsb dots for binary op.

. . . \dotsc dots after commas . . . \dotso other dots

. \ldotp

· \cdotp

: \colon

(32)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Variable Size Constructions

z}|{abc \overbrace{abc}

abc

|{z}

\underbrace{abc}

←−−abc \xleftarrow{abc}

−−→abc \xrightarrow{abc}

abc \sqrt{abc}

abcg \widetilde{abc}

dabc \widehat{abc}

abc \overline{abc}

abc \underline{abc}

−−→abc \overrightarrow{abc}

←−−abc \overleftarrow{abc}

←→

abc \overleftrightarrow{abc}

abc−−→ \underrightarrow{abc}

abc←−− \underleftarrow{abc}

abc←→ \underleftrightarrow{abc}

(33)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Txfonts I

Include \usepackage{txfonts} before \begin{document}

 \bigsqcapplus

 \bigsqcupplus

! \iint

# \iiint

% \iiiint

 \sqint P \sqiint R \sqiiint ' \idotsint

> \fint

 \oiint ) \oiiint

\ointclockwise \ointctrclockwise H \oiintclockwise

@ \oiintctrclockwise L \oiiintclockwise D \oiiintctrclockwise

- \varointclockwise + \varointctrclockwise B \varoiintclockwise J \varoiintctrclockwise F \varoiiintclockwise N \varoiiintctrclockwise

(34)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Txfonts II

 \varprod R \circledless S \circledgtr X \lJoin Y \rJoin ] \opentimes [ \openJoin

\ \lrtimes y \Perp

 \preceqq

 \precneqq

 \succeqq

 \succneqq

( \multimap

 \multimapdot

 \multimapinv

 \multimapdotinv

 \multimapboth

 \multimapdotboth

 \multimapdotbothA

 \multimapdotbothB

• \multimapbothvert

– \multimapdotbothvert

˜ \multimapdotbothAvert

— \multimapdotbothBvert

 \VvDash

(35)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Txfonts III

D \coloneq H \Coloneq B \coloneqq F \Coloneqq E \eqcolon I \Eqcolon C \eqqcolon G \Eqqcolon

 \colonsim

 \Colonsim \colonapprox

 \Colonapprox h \eqsim

1 \varg 3 \varv 4 \varw 2 \vary

¢ \mathcent

£ \mathsterling

< \notin

= \notni J \strictif K \strictfi L \strictiff

∥ \varparallel \varparallelinv

(36)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Txfonts IV

. \nequiv 6 \napproxeq 5 \nthickapprox

; \nsimeq + \nbacksimeq - \nasymp

* \nbacksim

$ \npreccurlyeq 9 \npreceqq

 \nprecsim 7 \nprecapprox 3 \nll

\nlesssim

" \nlessapprox ' \nlessgtr

\nvarparallel \nvarparallelinv ( \nbumpeq

) \nBumpeq 1 \nVdash

h \ntwoheadleftarrow g \ntwoheadrightarrow

% \nsucccurlyeq : \nsucceqq

 \nsuccsim 8 \nsuccapprox 4 \ngg

! \ngtrsim

# \ngtrapprox

& \ngtrless

(37)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Txfonts V

V \circledbar T \circledwedge U \circledvee W \circledbslash

 \medcirc

 \medbullet M \invamp } \sqcapplus

| \sqcupplus

\mappedfromchar

 \mmappedfromchar

 \Mappedfromchar

 \Mmappedfromchar

 \mmapstochar

 \Mmapstochar

a \nsqsubset b \nsqsupset

@ \nsqsubseteq A \nsqsupseteq

> \nSubset

? \nSupset

" \nsubseteqq

 \Diamonddot _ \Diamondblack

o \lambdabar n \lambdaslash r \varheartsuit p \varclubsuit s \varspadesuit q \vardiamondsuit

(38)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Txfonts VI

‘ \circleright

“ \circleddotright

€ \boxright

ˆ \boxRight

‚ \boxdotright

Š \boxdotRight

„ \Diamondright

Œ \DiamondRight

† \Diamonddotright

Ž \DiamonddotRight t \Nearrow

u \Searrow V \Rrightarrow

e \dashleftrightarrow

’ \circleleft

” \circleddotleft

 \boxleft

‰ \boxLeft

ƒ \boxdotleft

‹ \boxdotLeft … \Diamondleft

 \DiamondLeft

‡ \Diamonddotleft

 \DiamonddotLeft v \Nwarrow

w \Swarrow

f \leftsquigarrow

(39)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Txfonts VII

α \alphaup β \betaup γ \gammaup δ \deltaup λ \lambdaup ω \omegaup ψ \psiup

χ \chiup ρ \rhoup

 \epsilonup π \piup φ \phiup σ \sigmaup θ \thetaup κ \kappaup

υ \upsilonup ξ \xiup τ \tauup ι \iotaup η \etaup ζ \zetaup µ \muup ν \nuup

% \varrhoup ε \varepsilonup

$ \varpiup ϕ \varphiup

ς \varsigmaup ϑ \varthetaup

(40)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Textcomp I

Include \usepackage{textcomp} before \begin{document}

$ \textdollar

¢ \textcent

€ \texteuro

¥ \textyen

£ \textsterling

₤ \textlira

š \textbaht

 \textguarani

₫ \textdong

 \textnaira

‘ \textpeso

₩ \textwon

¤ \textcurrency ƒ \textflorin A \newtie{A}

a \newtie{a}

 \textdollaroldstyle

¢ \textcentoldstyle

₡ \textcolonmonetary

↓ \textdownarrow

→ \textrightarrow

← \textleftarrow

↑ \textuparrow

´´ \textacutedbl ˇ \textasciicaron

¯ \textasciimacron

´ \textasciiacute

¨ \textasciidieresis

`` \textgravedbl

˘ \textasciibreve

` \textasciigrave

“ \textrecipe

(41)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Textcomp II

­ \textcircledP

© \textcopyright

Ÿ \textservicemark

« \textcopyleft

® \textregistered

™ \texttrademark

° \textdegree

½ \textonehalf

¼ \textonequarter

¾ \textthreequarters

− \textminus

± \textpm

÷ \textdiv

× \texttimes

√ \textsurd

0 \textzerooldstyle 1 \textoneoldstyle 2 \texttwooldstyle 3 \textthreeoldstyle 4 \textfouroldstyle 5 \textfiveoldstyle 6 \textsixoldstyle 7 \textsevenoldstyle 8 \texteightoldstyle 9 \textnineoldstyle

¹ \textonesuperior

² \texttwosuperior

³ \textthreesuperior

¬ \textlnot

(42)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Textcomp III

¦ \textbrokenbar

† \textbardbl

¶ \textparagraph

™ \textpilcrow O \textbigcircle

␣ \textblank

† \textdagger

‡ \textdaggerdbl

œ \textdiscount

~ \texttildelow

№ \textnumero

℮ \textestimated

§ \textsection ' \textquotesingle

• \textbullet

◦ \textopenbullet

♪ \textmusicalnote

< \textlangle

> \textrangle [ \textlbrackdbl ] \textrbrackdbl   \textlquill

¡ \textrquill

°C \textcelsius µ \textmu Ω \textohm M \textmho b \textborn c \textdivorced m \textmarried d \textdied l \textleaf

(43)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Textcomp IV

※ \textreferencemark

˜ \textpertenthousand

‰ \textperthousand

* \textasteriskcentered

· \textperiodcentered ª \textordfeminine º \textordmasculine

⁄ \textfractionsolidus - \textdblhyphen

 \textdblhyphenchar

‚ \textquotestraightbase

„ \textquotestraightdblbase

” \textinterrobang

• \textinterrobangdown –– \textthreequartersemdash –– \texttwelveudash

(44)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Marvosym I

Include \usepackage{marvosym} before \begin{document}

¤ \EUR D \EURdig e \EURtm d \EURcr c \EURhv

£ \Pfund

 \Ecommerce

¦ \EyesDollar

¢ \Denarius

¡ \Shilling W \Anglesign

÷ \Squaredot

= \Corresponds p \Vectorarrow P \Vectorarrowhigh : \MVRightarrow ˆ \Ankh

† \Cross

‡ \Celtcross Œ \Heart ý \Bat F \FHBOlogo f \FHBOLOGO

Ž \FullFHBO

þ \Womanface ÿ \MartinVogel

¥ \Bouquet m \Mundus Y \Yinyang

© \Smiley

§ \Frowny ª \CircledA

(45)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Marvosym II

0 \MVZero 1 \MVOne 2 \MVTwo 3 \MVThree 4 \MVFour

5 \MVFive 6 \MVSix 7 \MVSeven 8 \MVEight 9 \MVNine

~ \Female

 \FEMALE

„ \FemaleFemale

… \FemaleMale } \Hermaphrodite

| \Male

‚ \MALE ƒ \MaleMale { \Neutral

€ \HERMAPHRODITE

· \Forward

¶ \Rewind

¸ \ForwardToEnd

» \MoveDown º \MoveUp

¼ \ToTop

½ \ToBottom µ \RewindToStart

¹ \ForwardToIndex

´ \RewindToIndex

(46)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Marvosym III

 \Mercury à \Venus Ê \Earth Ä \Mars

Å \Jupiter Æ \Saturn Ç \Uranus È \Neptune

É \Pluto Á \Moon À \Sun

à \Aries á \Taurus â \Gemini ã \Cancer ä \Leo å \Virgo æ \Libra ç \Scorpio

è \Sagittarius é \Capricorn ê \Aquarius

ë \Pisces s \Cutleft

q \Cutright S \Leftscissors

Q \Rightscissors r \Cutline

R \Kutline

(47)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Marvosym IV

h \Biohazard C \CEsign

` \Explosionsafe j \Radioactivity

n \BSEfree J \Estatically

! \Stopsign a \Laserbeam

™ \Lsteel œ \Tsteel š \TTsteel

 \RoundedTsteel Ÿ \RoundedLsteel

ž \RoundedTTsteel l \Force

" \Beam

# \Bearing

% \Fixedbearing

$ \Loosebearing L \Lineload

• \Circsteel

“ \Squaresteel

” \Rectsteel

’ \Hexasteel

‘ \Octosteel – \Flatsteel

› \Circpipe

— \Squarepipe

˜ \Rectpipe

& \Lefttorque ' \Righttorque

(48)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Marvosym V

k \Email t \fax

v \Faxmachine E \Lightning A \Pickup z \Emailct

u \FAX B \Letter H \Mobilefone T \Telefon i \Info

@ \MVAt

® \Bicycle o \Football Z \Pointinghand

V \Checkedbox x \Gentsroom y \Ladiesroom w \Wheelchair U \Clocklogo I \Industry

b \Writinghand K \Coffeecup

X \Crossedbox Í \ComputerMouse

Ñ \ParallelPort Ð \SerialPort

Î \SerialInterface Ï \Keyboard

Ò \Printer

(49)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Marvosym VI

« \CleaningA

¾ \CleaningF

¿ \CleaningFF

¬ \CleaningP

­ \CleaningPP

 \Tumbler

 \NoTumbler

¨ \NoChemicalCleaning Ë \Bleech

Ì \NoBleech

¯ \IroningI

° \IroningII

± \IroningIII

² \NoIroning

Ø \AtForty Õ \AtSixty Ó \AtNinetyFive Û \ShortThirty Ù \ShortForty

× \ShortFifty Ö \ShortSixty Ô \ShortNinetyFive Ú \SpecialForty

‰ \WashCotton Š \WashSynthetics

‹ \WashWool Ü \Handwash Ý \Dontwash

(50)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Pifont I

Include \usepackage{pifont} before \begin{document}

% \ding{37}

& \ding{38}

' \ding{39}

( \ding{40}

) \ding{41}

* \ding{42}

+ \ding{43}

, \ding{44}

- \ding{45}

. \ding{46}

/ \ding{47}

0 \ding{48}

1 \ding{49}

2 \ding{50}

3 \ding{51}

4 \ding{52}

5 \ding{53}

6 \ding{54}

7 \ding{55}

8 \ding{56}

9 \ding{57}

: \ding{58}

; \ding{59}

< \ding{60}

= \ding{61}

> \ding{62}

? \ding{63}

@ \ding{64}

A \ding{65}

B \ding{66}

C \ding{67}

D \ding{68}

E \ding{69}

F \ding{70}

G \ding{71}

H \ding{72}

I \ding{73}

J \ding{74}

K \ding{75}

L \ding{76}

M \ding{77}

N \ding{78}

O \ding{79}

P \ding{80}

Q \ding{81}

R \ding{82}

S \ding{83}

T \ding{84}

(51)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Pifont II

U \ding{85}

V \ding{86}

W \ding{87}

X \ding{88}

Y \ding{89}

Z \ding{90}

[ \ding{91}

\ \ding{92}

] \ding{93}

^ \ding{94}

_ \ding{95}

` \ding{96}

a \ding{97}

b \ding{98}

c \ding{99}

d \ding{100}

e \ding{101}

f \ding{102}

g \ding{103}

h \ding{104}

i \ding{105}

j \ding{106}

k \ding{107}

l \ding{108}

m \ding{109}

n \ding{110}

o \ding{111}

p \ding{112}

q \ding{113}

r \ding{114}

s \ding{115}

t \ding{116}

u \ding{117}

v \ding{118}

w \ding{119}

x \ding{120}

y \ding{121}

z \ding{122}

{ \ding{123}

| \ding{124}

} \ding{125}

~ \ding{126}

¡ \ding{161}

¢ \ding{162}

£ \ding{163}

¤ \ding{164}

¥ \ding{165}

¦ \ding{166}

(52)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Pifont III

§ \ding{167}

¨ \ding{168}

© \ding{169}

ª \ding{170}

« \ding{171}

¬ \ding{172}

­ \ding{173}

® \ding{174}

¯ \ding{175}

° \ding{176}

± \ding{177}

² \ding{178}

³ \ding{179}

´ \ding{180}

µ \ding{181}

¶ \ding{182}

· \ding{183}

¸ \ding{184}

¹ \ding{185}

º \ding{186}

» \ding{187}

¼ \ding{188}

½ \ding{189}

¾ \ding{190}

¿ \ding{191}

À \ding{192}

Á \ding{193}

 \ding{194}

à \ding{195}

Ä \ding{196}

Å \ding{197}

Æ \ding{198}

Ç \ding{199}

È \ding{200}

É \ding{201}

Ê \ding{202}

Ë \ding{203}

Ì \ding{204}

Í \ding{205}

Î \ding{206}

Ï \ding{207}

Ð \ding{208}

Ñ \ding{209}

Ò \ding{210}

Ó \ding{211}

(53)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Pifont IV

Ô \ding{212}

Õ \ding{213}

Ö \ding{214}

× \ding{215}

Ø \ding{216}

Ù \ding{217}

Ú \ding{218}

Û \ding{219}

Ü \ding{220}

Ý \ding{221}

Þ \ding{222}

ß \ding{223}

à \ding{224}

á \ding{225}

â \ding{226}

ã \ding{227}

ä \ding{228}

å \ding{229}

æ \ding{230}

ç \ding{231}

è \ding{232}

é \ding{233}

ê \ding{234}

ë \ding{235}

ì \ding{236}

í \ding{237}

î \ding{238}

ï \ding{239}

ñ \ding{241}

ò \ding{242}

ó \ding{243}

ô \ding{244}

õ \ding{245}

ö \ding{246}

÷ \ding{247}

ø \ding{248}

ù \ding{249}

ú \ding{250}

û \ding{251}

ü \ding{252}

ý \ding{253}

þ \ding{254}

! \ding{33}

" \ding{34}

# \ding{35}

$ \ding{36}

(54)

TXFONTS Emre Sermutlu

Introduction TEXT

MATH

Common Greek Binary Subsets Inequalities Triangles Arrows Operators Functions Miscel.

Alphabet Brackets Dots Var. Size

EXTRA

Txfonts Textcomp Marvosym Pifont Chemarrow

Chemarrow

Include \usepackage{chemarrow} before \begin{document}

GGGGGGGAabc def

\autorightarrow{abc}{def}

DGGGGGGGabc def

\autoleftarrow{abc}{def}

GGGGGGGBabc FGGGGGGG

def

\autorightleftharpoons{abc}{def}

EGGGGGGGGGGGGGGCabc def

\autoleftrightharpoons{abc}{def}

A \chemarrow

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