305 lines
6.7 KiB
Plaintext
305 lines
6.7 KiB
Plaintext
for thmenv <- @⟨theorem,lemma,exercise,definition,corollary,example⟩
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for thmprefix <- @⟨@thmenv:thm,lem,exe,def,cor,exa⟩
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block auto start
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-- {{{ Environments
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string begin
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name environment
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snip
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\begin{$1}
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$0
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\end{$1}
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-- }}}
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block auto !math start
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-- {{{ Environments & lists & their elements
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for env <- @⟨enumerate,itemize,align*⟩
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string @⟨@env:olist,ulist,dm⟩
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name @⟨@env:ordered list,unordered list,display math⟩
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snip
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\begin{@env}
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$0
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\end{@env}
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string proof
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snip
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\begin{proof}$?1⟨[Proof of @^⟨$1⟩]⟩
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$0
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\end{proof}
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string ciff
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name cases for ⟺
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snip
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\begin{enumerate}
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\item[$\implies$]$1,
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\item[$\impliedby$]$2,
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\end{enumerate}
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$0
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string item
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snip \item$|1⟨,[$1] $0⟩
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-- }}}
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block text
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import common/math-phrases
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-- {{{ References
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string ref
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snip \ref{$1}$0
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string r@thmprefix
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snip \ref{@thmprefix:$1}$0
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string pref
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snip (\ref{$1})$0
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string pr@thmprefix
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snip (\ref{@thmprefix:$1})$0
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-- }}}
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block auto
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-- {{{ Delimiters
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string "
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name quote
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snip ``$1''$0
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string $
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name inline math
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snip \$$1\$$0
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-- }}}
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string forcecr
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desc Force the content onto a new line
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snip {\ \\\}
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block math
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-- {{{ Sigma/Pi notation
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for shorthand <- @⟨sum,prod⟩
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for symbol <- @⟨@shorthand:sigma,pi⟩
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for operation <- @⟨@shorthand:sum,product⟩
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string b@shorthand
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name @symbol @operation
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desc Write out a @operation using big @symbol notation
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snip \\@symbol{$|1⟨$1 = $2,$1⟩}^$|2⟨{$2},\infty$2⟩ $0
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-- }}}
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-- {{{ Matrices
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for matkind <- @⟨matrix,determinant⟩
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for matenv <- @⟨@matkind:bmatrix,vmatrix⟩
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for shorthand <- @⟨@matkind:mat,det⟩
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string 2@shorthand
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name 2x2 @matkind
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snip
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\begin{@matenv}
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$1 & $2 \\\\
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$3 & $4
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\end{@matenv}
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string 3@shorthand
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name 3x3 @matkind
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snip
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\begin{@matenv}
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$1 & $2 & $3 \\\\
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$4 & $5 & $6 \\\\
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$7 & $8 & $9
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\end{@matenv}
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-- }}}
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-- {{{ Equations
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for createabbr <- @⟨false,true⟩
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for operator <- @⟨@createabbr:
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@⟨eq,lt,gt⟩,
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@⟨neq,defas,leq,geq,iip,iib,iff⟩
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⟩
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for symbol <- @⟨@createabbr:
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@⟨@operator:=,<,>⟩,
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@⟨@operator:\neq,\coloneq,\leq,\geq,\implies,\impliedby,\iff⟩
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⟩
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block auto
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abbr @⟨@createabbr:op-@operator,@operator⟩ @symbol
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string a@operator
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name align at @operator
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snip &@symbol $0
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block start
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string al@operator
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name aligned @operator
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snip
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\\\\ $1 &@symbol $2
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$0
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string cr@operator
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name start with @operator
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snip \\\\&@symbol $0
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block start
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string eqsystem
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name system of equations
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snip
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\left\{
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\begin{array}{rl}
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$0
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\end{array}
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\right\}
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-- }}}
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-- {{{ Explanations
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block end
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for suffix <- @⟨add,sub,rmul,pow,inv⟩
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string ex@suffix
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snip
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&& \lrb{\square @⟨@suffix:
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+ $1,
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- $1,
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\cdot $1,
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^{$1},
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^{-1},
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⟩}$0
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for prefix <- @⟨neg,mul,ln⟩
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string ex@prefix
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snip && \lrb{@⟨@prefix:-,$1,\ln⟩ \square}$0
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string exdiv
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snip && \lrb{\frac \square {$1}}$0
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string exint
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snip && \lrb{\int\square \dif $1}$0
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string exdint
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snip && \lrb{\int_{$1}^{$2}\square \dif $3}$0
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for kind <- @⟨texpl,extrin,exbound,exdef⟩
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string @kind
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snip
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&& \lrb{\text{@⟨@kind:
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$1,
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triangle inequality on $$1$,
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$$1$ is bounded,
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definition of $$1$,
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⟩}}$0
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-- }}}
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block auto word
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-- {{{ Shorthands
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-- {{{ Constants
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for constkind <- @⟨default,shortened⟩
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for constant <- @⟨@constkind:
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@⟨star,delta,Delta,pi,tau,psi,Psi,phi,rho,sigma,alpha,beta,theta,gamma,omega,Omega,half,ordop,land,lor⟩,
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@⟨lam,eps,iinf⟩
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⟩
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for expansion <- @⟨@constkind:
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@constant,
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@⟨@constant:lambda,epsilon,ifty⟩
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⟩
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for operator <- @⟨,e,s⟩
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string @operator@constant
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snip @⟨@operator:,^,_⟩\\@expansion
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-- }}}
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-- {{{ Logic
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abbr frl \forall
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abbr exs \exists
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abbr nope \bot
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abbr yee \top
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-- }}}
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-- {{{ Set-theory
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abbr card \#
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abbr ccap \cap
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abbr ccup \cup
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abbr iin \in
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abbr nin \not\in
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abbr nuls \varnothing
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abbr ortco ^\bot
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abbr sdiff \setminus
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abbr sinter ^\circ
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abbr smul \times
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abbr speq \supseteq
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abbr spt \supset
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abbr sseq \subseteq
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abbr sst \subset
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-- }}}
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-- {{{ Numbers
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abbr niinf -\ifty
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abbr eniinf ^{-\ifty}
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abbr sniinf _{-\ifty}
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abbr ccan \cancel
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abbr mul \cdot
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abbr nlnl \pm
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abbr limsup \lim\sup
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-- }}}
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-- {{{ Misc
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abbr oball \ball
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abbr vsm \vecspace
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abbr mangle \measuredangle
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abbr com \circ
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-- }}}
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-- {{{ Fonts
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abbr bb \mathbb
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abbr cal \mathcal
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-- }}}
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-- }}}
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-- {{{ Sets
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for set <- @⟨N,Z,Q,I,R,C,P,F⟩
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abbr @⟨@set:nats,ints,rats,irats,rrea,comp,ppri,ffie⟩ \mathbb @set
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string set
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desc Create a set by escaping the brackets
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snip \{$1\}
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-- }}}
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-- {{{ Operators
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for noperator <- @⟨ordop,land,lor,equiv,pmod,ldots,cdots,perp,angle,sup⟩
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abbr @noperator \\@noperator
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for operator <- @⟨overline,hat,bar,abs,norm,prob,diprod,sin,cos,sqrt,ln,lrb,zmod,gen,pmob⟩
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string @operator
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snip \\@operator$|1⟨{$1}, $0⟩
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for bioperator <- @⟨iprod,frac,binom,dist⟩
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string @bioperator
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snip \\@bioperator$|1⟨ $1,{$1}⟩$|2⟨ $2,{$2}⟩ $0
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-- }}}
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block auto
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-- {{{ Subscripts & exponents
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pattern (.*)e@⟨t(%a),(%d)⟩
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name auto exponent
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snip @0^@1 $0
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pattern (.*)so(%a)
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name auto subscript
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snip @0_@1 $0
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pattern (\?[%a]+)(%d)
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name auto digt subscript
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snip @0_@1 $0
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string ss
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name subscript
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snip _{$1} $0
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string ee
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name exponent
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snip ^{$1} $0
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-- }}}
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-- {{{ Postfix notation
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block !word
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abbr .inv ^{-1}
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abbr .neg _-
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abbr .pos _+
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abbr .t ^T
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-- }}}
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-- {{{ Limits & integrals
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for limtarget <- @⟨anything,zero,infinity,negative infinity⟩
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for prefix <- @⟨@limtarget:,z,i,n⟩
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for limtargetsymbol <- @⟨@limtarget:$2,0,\infty,-\infty⟩
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string @prefix⋄lim
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name limit to @limtarget
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snip \lim_{$1 \to @limtargetsymbol} $0
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string intd
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name definite integral
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snip \int_{$|1⟨$1,-\infty$1⟩}^$|2⟨{$2},\infty$2⟩ $3 \dif $0
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string inti
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name indefinite integral
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snip \int $1 \dif $0
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-- }}}
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