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scirules.in
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scirules.in
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# scirules.in: Common grammar rules
#
# Copyright (C) 2012 Nathaniel Eldredge
# This file is part of Mathgen.
#
# Adapted from scirules.in from SCIgen
# (http://pdos.csail.mit.edu/scigen/). Portions may be copyright
# (C) the authors of SCIgen.
#
# Mathgen is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# Mathgen is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with Mathgen; if not, write to the Free Software
# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
SECTION_TITLE An application to CONCEPT
SECTION_TITLE Applications to CONCEPT
SECTION_TITLE Connections to CONCEPT
SECTION_TITLE The PROPLIST case
SECTION_TITLE Basic results of AREA
SECTION_TITLE Fundamental properties of OBJECTS
SECTION_TITLE CONCEPT
#############################################################################
####### Environments #######
#############################################################################
DEFINITION {
\begin{definition}
DEFBODY
\end{definition}
}
DEFBODY ASSUMPTION. a OBJECT is a \textbf{NOUN} if it is PROPPHRASE.
DEFBODY a OBJECT $VAR$ is \textbf{ADJECTIVE} if COND.
DEFBODY ASSUMPTION. We say a OBJECT $VAR$ is \textbf{ADJECTIVE} if it is PROPPHRASE.
RESULT THEOREM
RESULT LEMMA
RESULT PROPOSITIONENV
THEOREM {
\begin{theorem}
PROPOSITION
\end{theorem}
}
LEMMA {
\begin{lemma}
PROPOSITION
\end{lemma}
}
PROPOSITIONENV {
\begin{proposition}
PROPOSITION
\end{proposition}
}
CONJECTURE {
\begin{conjecture}
PROPOSITION
\end{conjecture}
}
PROOF {
\begin{proof}
PROOFTEXT
\end{proof}
}
#############################################################################
####### Larger elements of text #######
#############################################################################
PROPOSITION ASSERTION.
PROPOSITION ASSUMPTION. Then ASSERTION.
PROPOSITION ASSUMPTION. ASSUMPTION. Then ASSERTION.
PROPOSITION ASSUMPTION. ASSUMPTION. Further, ASSUMPTION. Then ASSERTION.
COND+5 $VAR$ is PROPPHRASE
COND+5 $VAR$ is RELATED $VAR$
COND+5 $SHORTEQ$
COND the Riemann hypothesis holds
COND FAMOUSPOS condition is satisfied
COND FAMOUSPOS criterion applies
ASSUME assume
ASSUME suppose
ASSUME let us suppose
ASSUME let us assume
ASSUMPTION ASSUME ASSERTION
ASSUMPTION let $SHORTEQ$
ASSUMPTION let $VAR$ be a OBJECT
ASSUMPTION ASSUME we are given a OBJECT $VAR$
ASSUMPTION let $SHORTEQ$ be arbitrary
ASSERTION+8 COND
ASSERTION+8 $SHORTEQ$
ASSERTION+4 every OBJECT is PROPPHRASE
ASSERTION+4 there exists a PROPPHRASE OBJECT
ASSERTION+4 INLINEEQ
ASSERTION+4 DISPEQ
#ASSERTION FAMOUSPOS conjecture is BOOL
ASSERTION FAMOUSPOS conjecture is BOOL in the context of OBJECTS
BOOL true
BOOL false
##########################################################################
###### Proofs
##########################################################################
PROOFTEXT+3 BEGINPROOF PROOFBODY ENDPROOF
PROOFTEXT This is CLEAR.
PROOFTEXT See CITATION.
PROOFTEXT BEGINPROOF LONGPROOF ENDPROOF
BEGINPROOF We begin by observing that ASSERTION.
BEGINPROOF Suppose the contrary.
BEGINPROOF We proceed by induction.
BEGINPROOF We proceed by transfinite induction.
BEGINPROOF The essential idea is that ASSERTION.
BEGINPROOF We follow CITATION.
BEGINPROOF This proof can be omitted on a first reading.
BEGINPROOF We show the contrapositive.
BEGINPROOF We begin by considering a simple special case.
BEGINPROOF One direction is CLEAR, so we consider the converse.
ENDPROOF This completes the proof.
ENDPROOF The result now follows by BIGTHEOREM.
ENDPROOF This is the desired statement.
ENDPROOF This CLEARLY implies the result.
ENDPROOF The remaining details are CLEAR.
ENDPROOF The interested reader can fill in the details.
ENDPROOF This is a contradiction.
ENDPROOF This contradicts the fact that ASSERTION.
ENDPROOF The converse is CLEAR.
CLEAR clear
CLEAR simple
CLEAR elementary
CLEAR straightforward
CLEAR obvious
CLEAR trivial
CLEAR left as an exercise to the reader
CLEARLY clearly
CLEARLY obviously
CLEARLY trivially
BIGTHEOREM the general theory
BIGTHEOREM FAMOUSPOS theorem
BIGTHEOREM standard techniques of AREA
BIGTHEOREM an easy exercise
BIGTHEOREM a well-known result of FAMOUS CITATION
BIGTHEOREM a little-known result of FAMOUS CITATION
BIGTHEOREM a recent result of GENERIC_LASTNAME CITATION
BIGTHEOREM a standard argument
BIGTHEOREM an approximation argument
BIGTHEOREM well-known properties of OBJECTS
BIGTHEOREM results of CITATION
BIGTHEOREM the PROPNOUN of OBJECTS
REASON+4 CLEARLY,
REASON+2 by BIGTHEOREM,
REASON by PROPNOUN,
REASON as we have shown,
REASON it is easy to see that
REASON note that
REASON we observe that
REASON one can easily see that
REASON because ASSERTION,
REASON since ASSERTION,
REASON of course,
CONNECT thus
CONNECT so
CONNECT therefore
CONNECT hence
CONNECT now
CONNECT next,
CONNECT moreover,
CONNECT on the other hand,
CONNECT in contrast,
CREASON REASON
CREASON CONNECT
PROOFSENTENCEONE REASON ASSERTION.
PROOFSENTENCE CREASON ASSERTION.
PROOFSENTENCEONE REASON if COND then ASSERTION.
PROOFSENTENCE CREASON if COND then ASSERTION.
MAYBEASSUMPTION
MAYBEASSUMPTION ASSUMPTION.
PROOFPARA MAYBEASSUMPTION PROOFSENTENCEONE
PROOFPARA MAYBEASSUMPTION PROOFSENTENCEONE PROOFSENTENCE
PROOFPARA MAYBEASSUMPTION PROOFSENTENCEONE PROOFSENTENCE PROOFSENTENCE
PROOFPARA MAYBEASSUMPTION PROOFSENTENCEONE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE
PROOFPARA MAYBEASSUMPTION PROOFSENTENCEONE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE
PROOFPARA MAYBEASSUMPTION PROOFSENTENCEONE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE
PROOFPARA MAYBEASSUMPTION PROOFSENTENCEONE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE
PROOFPARA MAYBEASSUMPTION PROOFSENTENCEONE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE PROOFSENTENCE
PROOFBODY {
PROOFPARA
}
PROOFBODY {
PROOFPARA
PROOFPARA
}
PROOFBODY {
PROOFPARA
PROOFPARA
}
PROOFBODY {
PROOFPARA
PROOFPARA
PROOFPARA
}
PROOFBODY {
PROOFPARA
PROOFPARA
PROOFPARA
PROOFPARA
}
PROOFBODY {
PROOFPARA
PROOFPARA
PROOFPARA
PROOFPARA
PROOFPARA
}
LONGPROOF PROOFPARA
LONGPROOF+5 {
LONGPROOF
PROOFPARA
}
#############################################################
###### Discussion
#############################################################
# including file should define DISCUSS and SDISCUSS
SDISCUSSION SDISCUSS
DISCUSSION+3 DISCUSS
DISCUSSION+3 SDISCUSS
DISCUSSION CONNECT DISCUSS
DISCUSSION CONNECT SDISCUSS
DISCUSSIONPARA SDISCUSSION DISCUSSION DISCUSSION
DISCUSSIONPARA SDISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION
DISCUSSIONPARA SDISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION
DISCUSSIONPARA SDISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION
DISCUSSIONPARA SDISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION DISCUSSION
##############################################################
###### Equations
#############################################################
CONST+2 0
CONST+2 1
CONST -1
CONST e
CONST \pi
CONST 2
CONST \sqrt{2}
CONST \infty
CONST -\infty
CONST \aleph_0
CONST i
CONST \emptyset
FVAR+10 VAR
FVAR | VAR |
FVAR \| VAR \|
FVAR VAR ( VAR )
REL+5 =
REL+3 \ne
REL+3 \le
REL+3 \ge
REL+3 <
REL+3 >
REL \sim
REL \equiv
REL \cong
REL \subset
REL \supset
REL \to
REL \in
REL \ni
SHORTEQ FVAR REL FVAR
SHORTEQ FVAR REL CONST
#############################################################################
####### Vocabulary #######
#############################################################################
# Idea: randomly wrap these in \index for use in a book
OBJECT+10 PROPLIST NOUN
OBJECTS+10 PROPLIST NOUNS
OBJECT+3 NOUN
OBJECTS+3 NOUNS
OBJECT PROPLIST NOUN equipped with a PROPLIST NOUN
OBJECT PROPLIST NOUN acting PADVERB on a PROPLIST NOUN
PROPPHRASE PROPERTY
PROPPHRASE PROPLIST and PROPERTY
PROPLIST+3 PROPERTY
PROPLIST PROPERTY, PROPERTY
PROPLIST PROPERTY, PROPERTY, PROPERTY
PROPERTY+2 PADJECTIVE
PROPERTY PADVERB PADJECTIVE
PADVERB+3 ADVERB
PADVERB PREFIX-ADVERB
PADJECTIVE+3 ADJECTIVE
PADJECTIVE PREFIX-ADJECTIVE
ADJECTIVE $p$-adic
ADJECTIVE $n$-dimensional
ADJECTIVE Artinian
ADJECTIVE Euclidean
ADJECTIVE Gaussian
ADJECTIVE Noetherian
ADJECTIVE Riemannian
ADJECTIVE abelian
ADJECTIVE additive
ADJECTIVE admissible
ADJECTIVE affine
ADJECTIVE algebraic
ADJECTIVE arithmetic
ADJECTIVE associative
ADJECTIVE bijective
ADJECTIVE bounded
ADJECTIVE canonical
ADJECTIVE characteristic
ADJECTIVE closed
ADJECTIVE commutative
ADJECTIVE compact
ADJECTIVE complete
ADJECTIVE complex
ADJECTIVE composite
ADJECTIVE connected
ADJECTIVE continuous
ADJECTIVE contravariant
ADJECTIVE convex
ADJECTIVE countable
ADJECTIVE covariant
ADJECTIVE SIGN definite
ADJECTIVE degenerate
ADJECTIVE dependent
ADJECTIVE differentiable
ADJECTIVE elliptic
ADJECTIVE embedded
ADJECTIVE empty
ADJECTIVE extrinsic
ADJECTIVE finite
ADJECTIVE free
ADJECTIVE generic
ADJECTIVE geometric
ADJECTIVE holomorphic
ADJECTIVE hyperbolic
ADJECTIVE independent
ADJECTIVE infinite
ADJECTIVE injective
ADJECTIVE integrable
ADJECTIVE integral
ADJECTIVE intrinsic
ADJECTIVE invariant
ADJECTIVE invertible
ADJECTIVE irreducible
ADJECTIVE isometric
ADJECTIVE linear
ADJECTIVE local
ADJECTIVE maximal
ADJECTIVE meager
ADJECTIVE measurable
ADJECTIVE meromorphic
ADJECTIVE minimal
ADJECTIVE multiplicative
ADJECTIVE natural
ADJECTIVE+3 SIGN
ADJECTIVE normal
ADJECTIVE null
ADJECTIVE one-to-one
ADJECTIVE onto
ADJECTIVE open
ADJECTIVE ordered
ADJECTIVE orthogonal
ADJECTIVE parabolic
ADJECTIVE partial
ADJECTIVE prime
ADJECTIVE projective
ADJECTIVE real
ADJECTIVE reducible
ADJECTIVE regular
ADJECTIVE reversible
ADJECTIVE separable
ADJECTIVE singular
ADJECTIVE smooth
ADJECTIVE solvable
ADJECTIVE stable
ADJECTIVE standard
ADJECTIVE stochastic
ADJECTIVE surjective
ADJECTIVE symmetric
ADJECTIVE tangential
ADJECTIVE trivial
ADJECTIVE uncountable
ADJECTIVE unique
ADJECTIVE universal
ADJECTIVE+25 FAMOUS
SIGN positive
SIGN negative
SIGN nonnegative
RELATED+1 TRELATED
RELATED not TRELATED
TRELATED isomorphic to
TRELATED homeomorphic to
TRELATED diffeomorphic to
TRELATED equivalent to
TRELATED comparable to
TRELATED larger than
TRELATED smaller than
TRELATED equal to
TRELATED dominated by
TRELATED controlled by
TRELATED greater than
TRELATED less than
TRELATED bounded by
TRELATED distinct from
TRELATED invariant under
ADVERB algebraically
ADVERB almost
ADVERB almost everywhere
ADVERB almost surely
ADVERB analytically
ADVERB canonically
ADVERB combinatorially
ADVERB compactly
ADVERB completely
ADVERB conditionally
ADVERB continuously
ADVERB countably
ADVERB discretely
ADVERB essentially
ADVERB everywhere
ADVERB freely
ADVERB finitely
ADVERB globally
ADVERB linearly
ADVERB locally
ADVERB multiply
ADVERB naturally
ADVERB partially
ADVERB pairwise
ADVERB pointwise
ADVERB simply
ADVERB smoothly
ADVERB stochastically
ADVERB totally
ADVERB trivially
ADVERB unconditionally
ADVERB universally
PREFIX semi
PREFIX quasi
PREFIX pseudo
PREFIX hyper
PREFIX super
PREFIX ultra
PREFIX co
PREFIX contra
PREFIX non
PREFIX anti
PREFIX right
PREFIX left
PREFIX sub
# subscripts and superscripts, etc, look stupid
PREFIX $ONEVAR$
SPACE vector
SPACE topological
SPACE measure
SPACE probability
SPACE FAMOUS
NOUN SPACE space
NOUNS SPACE spaces
NOUN algebra
NOUNS algebras
NOUN arrow
NOUNS arrows
NOUNS categories
NOUN category
NOUN class
NOUNS classes
NOUN curve
NOUNS curves
NOUN domain
NOUNS domains
NOUN equation
NOUNS equations
NOUN element
NOUNS elements
NOUN factor
NOUNS factors
NOUN field
NOUNS fields
NOUN function
NOUN functional
NOUNS functionals
NOUNS functions
NOUN functor
NOUNS functors
NOUN graph
NOUNS graphs
NOUN group
NOUNS groups
NOUN homeomorphism
NOUNS homeomorphisms
NOUN homomorphism
NOUNS homomorphisms
NOUN hull
NOUNS hulls
NOUN ideal
NOUNS ideals
NOUNS isometries
NOUN isometry
NOUN isomorphism
NOUNS isomorphisms
NOUN line
NOUNS lines
NOUN manifold
NOUNS manifolds
NOUNS matrices
NOUN matrix
NOUN modulus
NOUNS moduli
NOUN monodromy
NOUNS monodromies
NOUN monoid
NOUNS monoids
NOUN morphism
NOUNS morphisms
NOUN number
NOUNS numbers
NOUN path
NOUNS paths
NOUN plane
NOUNS planes
NOUN point
NOUNS points
NOUN polytope
NOUNS polytopes
NOUN prime
NOUNS primes
NOUN random variable
NOUNS random variables
NOUN ring
NOUNS rings
NOUN scalar
NOUNS scalars
NOUN set
NOUNS sets
NOUNS subalgebras
NOUN subalgebra
NOUN subgroup
NOUNS subgroups
NOUN subring
NOUNS subrings
NOUN subset
NOUNS subsets
NOUN system
NOUNS systems
NOUNS topoi
NOUN topos
NOUN triangle
NOUNS triangles
NOUN vector
NOUNS vectors
THINGOF domain of
THINGOF range of
THINGOF image of
THINGOF OBJECT associated to
THINGOF derivative of
THINGOF cardinality of
THINGOF measure of
THINGOF norm of
METAVERB characterize
METAVERBED characterized
METAVERBING characterizing
METANOUN characterization
METAVERB classify
METAVERBED classified
METAVERBING classifying
METANOUN classification
METANOUN computation
METAVERB compute
METAVERBED computed
METAVERBING computing
METANOUN construction
METAVERB construct
METAVERBED constructed
METAVERBING constructing
METAVERB describe
METAVERBED described
METAVERBING describing
METANOUN description
#METAVERB prove
#METAVERBED proved
#METAVERBING proving
#METANOUN proof
#METAVERB establish
#METAVERBED established
#METAVERBING establishing
METAVERB study
METAVERBED studied
METAVERBING studying
METAVERB derive
METAVERBED derived
METAVERBING deriving
METANOUN derivation
METAVERB examine
METAVERBED examined
METAVERBING examining
METANOUN derivation
METAVERB extend
METAVERBED extended
METAVERBING extending
METANOUN extension
#METAVERB disprove
#METAVERBED disproved
#METAVERBING disproving
#METANOUN disproof
PROPNOUN continuity
PROPNOUN+5 existence
PROPNOUN+5 uniqueness
PROPNOUN solvability
PROPNOUN finiteness
PROPNOUN connectedness
PROPNOUN structure
PROPNOUN compactness
PROPNOUN completeness
PROPNOUN regularity
PROPNOUN splitting
PROPNOUN convergence
PROPNOUN stability
PROPNOUN admissibility
PROPNOUN associativity
PROPNOUN convexity
PROPNOUN countability
PROPNOUN degeneracy
#PROPNOUN geometry
PROPNOUN invariance
PROPNOUN integrability
PROPNOUN smoothness
PROPNOUN invertibility
PROPNOUN reversibility
PROPNOUN ellipticity
PROPNOUN naturality
PROPNOUN minimality
PROPNOUN maximality
PROPNOUN locality
PROPNOUN measurability
PROPNOUN positivity
PROPNOUN negativity
PROPNOUN reducibility
PROPNOUN separability
PROPNOUN injectivity
PROPNOUN surjectivity
PROPNOUN uncountability
CONCEPT the PROPNOUN of OBJECTS
CONCEPT OBJECTS
CONCEPT problems in AREA
CONCEPT AREA
CONCEPT FAMOUSPOS conjecture
CONCEPT the METANOUN of OBJECTS
CONCEPT PROPNOUN
CONCEPT questions of PROPNOUN
CONCEPT an example of FAMOUS
CONCEPT PROPNOUN methods
LOWRVAR a
LOWRVAR b
LOWRVAR c
LOWRVAR d
LOWRVAR e
LOWRVAR f
LOWRVAR g
LOWRVAR h
LOWRVAR i
LOWRVAR j
LOWRVAR k
LOWRVAR l
LOWRVAR \ell
LOWRVAR m
LOWRVAR n
LOWRVAR p
LOWRVAR q
LOWRVAR r
LOWRVAR s
LOWRVAR t
LOWRVAR u
LOWRVAR v
LOWRVAR w
LOWRVAR x
LOWRVAR y
LOWRVAR z
LOWGVAR \alpha
LOWGVAR \beta
LOWGVAR \gamma
LOWGVAR \delta
LOWGVAR \epsilon
LOWGVAR \varepsilon
LOWGVAR \zeta
LOWGVAR \eta
LOWGVAR \theta
LOWGVAR \iota
LOWGVAR \kappa
LOWGVAR \lambda
LOWGVAR \mu
LOWGVAR \nu
LOWGVAR \xi
LOWGVAR \pi
LOWGVAR \rho
LOWGVAR \sigma
LOWGVAR \tau
LOWGVAR \phi
LOWGVAR \varphi
LOWGVAR \chi
LOWGVAR \psi
LOWGVAR \omega
UPRVAR A
UPRVAR B
UPRVAR C
UPRVAR D
UPRVAR E
UPRVAR F
UPRVAR G
UPRVAR H
UPRVAR I
UPRVAR J
UPRVAR K
UPRVAR L
UPRVAR M
UPRVAR N
UPRVAR O
UPRVAR P
UPRVAR Q
UPRVAR R
UPRVAR S
UPRVAR T
UPRVAR U
UPRVAR V
UPRVAR W
UPRVAR X
UPRVAR Y
UPRVAR Z
UPGVAR \Gamma
UPGVAR \Delta
UPGVAR \Theta
UPGVAR \Lambda
UPGVAR \Xi
UPGVAR \Sigma
UPGVAR \Phi
UPGVAR \Psi
UPGVAR \Omega
UPVAR+3 UPRVAR
UPVAR UPGVAR
LOWVAR LOWRVAR
LOWVAR LOWGVAR
ONEVAR+5 UPVAR
ONEVAR+5 LOWVAR
# Extra brackets for extra protection when used in bibtex
# bibtex will change $\mathcal{A}$ to $\mathcal{a}
# but leaves $\mathcal{{A}}$ alone.
# Still doesn't quite work. See BUGS.
ONEVAR \mathbf{{LOWRVAR}}
ONEVAR \mathfrak{{LOWRVAR}}
ONEVAR \mathcal{{UPRVAR}}
ONEVAR \mathscr{{UPRVAR}}
VAR+10 ONEVAR
VAR {ONEVAR_{ONEVAR}}
VAR {ONEVAR_{ONEVAR,ONEVAR}}
VAR {ONEVAR^{(ONEVAR)}}
VAR ONEVAR'
VAR ONEVAR''
VAR \hat{ONEVAR}
VAR \tilde{ONEVAR}
VAR \bar{ONEVAR}
###########################################################
##### Equations
###########################################################
EXPRA FVAR
EXPRA CONST
BINOP +
BINOP -
BINOP \pm
BINOP \cup
BINOP \cap
BINOP \cdot
BINOP \wedge
BINOP \vee
BINOP \times
QUANT \forall
QUANT \exists
EXPRB EXPRA BINOP EXPRA
EXPRB -EXPRA
EXPRB EXPRA^{NONZ}
EXPRB EXPRA^{-NONZ}
EXPRB+2 EXPRA
EXPRB EXPRA EXPRA
EXPRB \frac{1}{EXPRA}
FUNC+2 \exp
FUNC \sin
FUNC \cos
FUNC \tan
FUNC \sinh
FUNC \cosh
FUNC \tanh
FUNC+2 \log
FUNC+6 VAR
#EXPRC EXPRB BINOP EXPRB
EXPRC FUNC \left( EXPRB \right)
EXPRC VAR \left( EXPRB, EXPRB \right)
EXPRC VAR \left( EXPRB, \dots, EXPRB \right)
EXPRC FUNC^{-1} \left( EXPRB \right)
EXPRC+1 EXPRB
EXPRC \overline{EXPRB}
LIMOP \lim
LIMOP \limsup
LIMOP \liminf
LIMOP \sup
LIMOP \inf
LIMOP \max
LIMOP \min
LIMOP \varinjlim
LIMOP \varprojlim
SUMOP+2 \sum
SUMOP \prod
SUMOP+2 \bigcup
SUMOP+2 \bigcap
SUMOP \bigoplus
SUMOP \bigotimes
SUMOP \coprod
INTOP+6 \int
INTOP \iint
INTOP \iiint
INTOP \oint
BIGOP LIMOP
BIGOP LIMOP_{VAR \to CONST}
BIGOP SUMOP
BIGOP SUMOP_{VAR \in VAR}
BIGOP SUMOP_{VAR = CONST}^{CONST}
INTLIM INTOP
INTLIM INTOP_{VAR}
INTLIM INTOP_{CONST}^{CONST}
EXPRD+3 BIGOP EXPRC
EXPRD+2 INTLIM EXPRC \,d VAR
EXPRD BIGOP INTLIM EXPRC \,d VAR
EXPRD INTLIM BIGOP EXPRC \,d VAR
#EXPRD INTLIM INTLIM EXPRC \,d VAR \,d VAR
EXPRD+2 \frac{EXPRC}{EXPRC}
EXPRD EXPRC BINOP EXPRC
#EXPRD EXPRC BINOP EXPRC BINOP EXPRC
EXPRD+1 EXPRC
EXPRE EXPRD BINOP EXPRC
EXPRE EXPRD BINOP \dots BINOP EXPRC
EXPRE \left\{ EXPRB \colon MEDEQ \right\}
EXPRE+1 EXPRD
MEDEQ EXPRC REL EXPRD
LONGEQ+3 EXPRC REL EXPRE
LONGEQ EXPRC REL \begin{cases} EXPRD, & SHORTEQ \\ EXPRD, & SHORTEQ \end{cases}
#TESTPARA DISPEQ.
# Important that this be on one line so prettyprint can detect "DISPEQ."
DISPEQ $$MEDEQ$$
DISPEQ $$LONGEQ$$
DISPEQ \begin{align*} EXPRC & REL EXPRE \\ & REL EXPRE \end{align*}
DISPEQ \begin{align*} EXPRC & REL EXPRE \\ & REL EXPRE \\ & REL EXPRE \end{align*}
DISPEQ \begin{align*} EXPRC & REL EXPRE \\ & REL EXPRE \\ & REL EXPRE \\ & REL EXPRE \end{align*}
INLINEEQ $SHORTEQ$
INLINEEQ $EXPRB REL EXPRC$
###########################################################
##### List of famous mathematicians, taken from
##### http://fabpedigree.com/james/greatmm.htm
##### Used by permission.
###########################################################
FAMOUS+10 FAMOUSLAST
FAMOUS FAMOUSLAST--FAMOUSLAST
FAMOUSPOS FAMOUSLAST's
FAMOUSLAST Abel
FAMOUSLAST Archimedes
FAMOUSLAST Artin
FAMOUSLAST Atiyah
FAMOUSLAST Banach
FAMOUSLAST Beltrami
FAMOUSLAST Bernoulli
FAMOUSLAST Boole
FAMOUSLAST Borel
FAMOUSLAST Brahmagupta
FAMOUSLAST Brouwer
FAMOUSLAST Cantor
FAMOUSLAST Cardano
FAMOUSLAST Cartan
FAMOUSLAST Cauchy
FAMOUSLAST Cavalieri
FAMOUSLAST Cayley
FAMOUSLAST Chebyshev
FAMOUSLAST Chern
FAMOUSLAST Clairaut
FAMOUSLAST Clifford
FAMOUSLAST Conway
FAMOUSLAST D\'escartes
FAMOUSLAST Darboux
FAMOUSLAST Dedekind
FAMOUSLAST Deligne