% file `diffcoeff5.def' % definitions for variant forms % 2025/10/17 % Andrew Parsloe ajparsloe@gmail.com % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % material derivative \difdef { f, s } { D } { op-symbol = \mathrm{D} } % math italic \difdef { f, s, c } { d' } { op-symbol = d, op-order-nudge = 1 mu, *slash-sep = { 0 mu, -1 mu } } \difdef { f, s, c } { D' } { op-symbol = D, op-order-nudge = 1 mu, *slash-sep = -1 mu } % Greek \difdef { f, s } { gd } { op-symbol = \delta } \difdef { f, s } { gD } { op-symbol = \Delta } % nabla, tensor calc. acceleration \difdef { f, s } { n } { op-symbol = \nabla, op-symbol-alt = \mathrm{d}, *slash-sep = { -2mu, 0mu } } % tfrac, nonscalable \difdef { f, fp } { t } { style = tfrac , derivand-sep = 1 mu plus 1 mu minus 1 mu, multi-term-sep = 0 mu , term-sep-adjust = 0 mu , lvwrap-sup-nudge = 0 mu , outer-Ldelim = \bigl (, outer-Rdelim = \bigr ), elbowroom = -2 mu , sub-nudge = -3 mu } % pt of eval -- sq. bracket \difdef { f, fp, s, sp } { ] } { outer-Ldelim = \left [ , outer-Rdelim = \right ], elbowroom = 1 mu, sub-nudge = 0 mu } % long var wrap \difdef { f, fp } { (dv) } { long-var-wrap = (dv) } \difdef { f, fp } { dv } { long-var-wrap = dv } \difdef { f, fp } { dv_ } { long-var-wrap = dv, var-sup-nudge = -1 mu } %%%%%%%%%% slash fraction %%%%%%%%%% % sfrac split-level \difdef { s, sp } { s } { style = sfrac, slash-sep = { -2 mu, -1 mu }, derivand-sep = 0 mu , multi-term-sep = 0 mu , term-sep-adjust = 0 mu , var-sup-nudge = 0 mu , lvwrap-sup-nudge = 0 mu } \difdef { s } { s } { *slash-sep = { -1 mu, -1 mu } } \difdef { s } { sd } { style = sfrac, op-symbol = \delta, slash-sep = { -2 mu, -1 mu }, derivand-sep = 0 mu , multi-term-sep = 0 mu , term-sep-adjust = 0 mu , var-sup-nudge = 0 mu , lvwrap-sup-nudge = 0 mu } % sfrac, no op symbols \NewDocumentCommand \difsfrac { O{-2mu,-1mu} m m } {{ \difdef { s } { s } { op-symbol=, slash-sep={#1} } \difs.s.{#2}{#3} }} % \NewDocumentCommand \difsfrac { D[,{-2} D-]{1} m m } % { { % \difdef{s}{s}{op-symbol=,slash-sep={#1mu,-#2mu} } % \difs.s.{#3}{#4} % }} % slash frac: 0=scalable, 1=big, % %2=Big, 3=bigg, 4=Bigg but > 1 % generally gives eyesores \difdef { s, sp } { 0 } { style = auto , outer-Ldelim = \left [ , outer-Rdelim = \right ] , sub-nudge = 0 mu , *inner-Ldelim = \mleft ( , *inner-Rdelim = \mright ), *outer-Ldelim = \left [ , *outer-Rdelim = \right ] } \difdef { s, sp } { 1 } { style = big , outer-Ldelim = \bigl (, outer-Rdelim = \bigr ), sub-nudge = -2 mu , *inner-wrap = true , *inner-Ldelim = \bigl (, *inner-Rdelim = \bigr ), *outer-Ldelim = \bigl [, *outer-Rdelim = \bigr ] } % \cdots generic slash fraction \difdef { s, sp } { cd } { dots = \cdots } % pt of eval -- pipe \difdef { f, fp, s, sp } { | } { outer-Ldelim = \left . , outer-Rdelim = \right |, sub-nudge = 0 mu } %%%%%%%%%% compact %%%%%%%%%% % D operator \difdef { c } { D } { op-symbol = \mathrm{D}, op-sub-nudge = -2 mu } \difdef { c } { D' } { op-symbol = D, op-sub-nudge = -2 mu } % bold \difdef { c } { bD } { op-symbol = \mathbf{D}, op-sub-nudge = -2 mu } % differential style \difdef { c, cp } { dl } { style = dl, multi-term-sep = 1 mu, term-sep-adjust = -1 mu } % attach superscript to the d \difdef { c, cp } { d^ } { style = d^, multi-term-sep = 1 mu, term-sep-adjust = -1 mu } % doubly compact \difdef { cp } { cc } { style = cc , op-order-nudge = 1 mu, multi-term-sep = 0 mu, term-sep-adjust = -1 mu, var-sup-nudge = 0 mu } % \difdef { cp } { cc } { difcc-var-ord = ##1 } % \difdef { cp } { cc } { difcc-var-ord = :##1 } % \difdef { cp } { cc } { difcc-var-ord = \mathbf{##1} } \NewDocumentCommand \difccp { s s O{1}} { \IfBooleanTF #1 { \difcp.cc.**[#3]<1> } { \difcp.cc.[#3]<1> } } %%%%%%%%%% differentials %%%%%%%%%% % partial \difdef { l } { p } { op-symbol = \partial } \NewDocumentCommand \dlp {} { \dl.p. } % bold variable \difdef { l } { b } { op-symbol = \mathrm{d}\mathbf } % d^n x \difdef { l } { dn }{ style = d^ } % line element: Pythagoras \difdef { l } { + } { multi-term-sep = 0 mu +, term-sep-adjust = 0 mu , outer-Ldelim = } % line element: Minkowski \difdef { l } { - } { multi-term-sep = 0 mu -, term-sep-adjust = 0 mu , outer-Ldelim = } %%%%%%%%%% jacobian %%%%%%%%%% % slash fraction \difdef { j } { / } { style = / } % split level \difdef { j } { s } { style = sfrac } %%%%%%%%%% \Braket %%%%%%%%%% \difdef{ s }{ bk } { slash-tok = , op-symbol = , multi-term-sep = 3mu\middle|\mskip3mu , outer-Ldelim=\left\langle , outer-Rdelim=\right\rangle } \NewDocumentCommand \Braket { m } { \difs.bk.<\negmu>{}{#1}[] }