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. LaTeX info: "xparse/define-command"
. 
. Defining document command \mdet with arg. spec. '' on line 103.
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. LaTeX info: "xparse/define-command"
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. Defining document command \spmqty with arg. spec. 'm' on line 105.
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. 
. Defining document command \sPmqty with arg. spec. 'm' on line 106.
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. 
. Defining document command \sbmqty with arg. spec. 'm' on line 107.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \svmqty with arg. spec. 'm' on line 108.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \smallmatrixquantity with arg. spec. ' s g o d()
. d|| ' on line 133.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \smqty with arg. spec. '' on line 134.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \smallmatrixdeterminant with arg. spec. 'm' on
. line 135.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \smdet with arg. spec. '' on line 136.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \argopen with arg. spec. 's' on line 138.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \argclose with arg. spec. 's' on line 139.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \braces with arg. spec. '' on line 141.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \@braces with arg. spec. ' s t\big t\Big t\bigg
. t\Bigg m m m ' on line 156.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \fbraces with arg. spec. ' s t\big t\Big t\bigg
. t\Bigg m m m m ' on line 174.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \absolutevalue with arg. spec. ' l m ' on line
. 176.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \abs with arg. spec. '' on line 177.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \norm with arg. spec. ' l m ' on line 178.
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. 
. Defining document command \order with arg. spec. ' l m ' on line 179.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \evaluated with arg. spec. ' s g d[| d(| ' on line
. 194.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \eval with arg. spec. '' on line 195.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \poissonbracket with arg. spec. ' l m m ' on line
. 197.
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. 
. Defining document command \pb with arg. spec. '' on line 198.
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. Defining document command \commutator with arg. spec. ' l m m ' on line 201.
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. 
. Defining document command \comm with arg. spec. '' on line 202.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \anticommutator with arg. spec. ' l m m ' on line
. 203.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \acommutator with arg. spec. '' on line 204.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \acomm with arg. spec. '' on line 205.
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. 
. Defining document command \vectorbold with arg. spec. ' s m ' on line 208.
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. 
. Defining document command \vb with arg. spec. '' on line 209.
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. 
. Defining document command \vectorarrow with arg. spec. ' s m ' on line 211.
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. 
. Defining document command \va with arg. spec. '' on line 212.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \vectorunit with arg. spec. ' s m ' on line 214.
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. 
. Defining document command \vu with arg. spec. '' on line 215.
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. 
. Defining document command \dotproduct with arg. spec. '' on line 217.
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. 
. Defining document command \vdot with arg. spec. '' on line 218.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \crossproduct with arg. spec. '' on line 220.
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. 
. Defining document command \cross with arg. spec. '' on line 221.
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* LaTeX warning: "xparse/redefine-command"
* 
* Redefining document command \cp with arg. spec. '' on line 222.
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. 
. Defining document command \gradient with arg. spec. ' g o d() ' on line 232.
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* LaTeX warning: "xparse/redefine-command"
* 
* Redefining document command \grad with arg. spec. '' on line 233.
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. 
. Defining document command \divergence with arg. spec. ' g o d() ' on line
. 243.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \div with arg. spec. '' on line 246.
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. 
. Defining document command \curl with arg. spec. ' g o d() ' on line 256.
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. 
. Defining document command \laplacian with arg. spec. ' g o d() ' on line
. 266.
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. 
. Defining document command \principalvalue with arg. spec. 'g' on line 274.
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. 
. Defining document command \pv with arg. spec. '' on line 275.
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. 
. Defining document command \PV with arg. spec. 'g' on line 276.
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* LaTeX warning: "xparse/redefine-command"
* 
* Redefining document command \Re with arg. spec. 'g' on line 277.
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* LaTeX warning: "xparse/redefine-command"
* 
* Redefining document command \Im with arg. spec. 'g' on line 278.
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. 
. Defining document command \opbraces with arg. spec. ' m g o d() ' on line
. 299.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \trigbraces with arg. spec. ' m o d() ' on line
. 305.
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* LaTeX warning: "xparse/redefine-command"
* 
* Redefining document command \sin with arg. spec. '' on line 309.
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* LaTeX warning: "xparse/redefine-command"
* 
* Redefining document command \cos with arg. spec. '' on line 310.
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* LaTeX warning: "xparse/redefine-command"
* 
* Redefining document command \tan with arg. spec. '' on line 311.
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* 
* Redefining document command \csc with arg. spec. '' on line 312.
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* 
* Redefining document command \sec with arg. spec. '' on line 313.
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* 
* Redefining document command \cot with arg. spec. '' on line 314.
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* LaTeX warning: "xparse/redefine-command"
* 
* Redefining document command \arcsin with arg. spec. '' on line 316.
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* 
* Redefining document command \arccos with arg. spec. '' on line 317.
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* 
* Redefining document command \arctan with arg. spec. '' on line 318.
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. 
. Defining document command \arccsc with arg. spec. '' on line 320.
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. Defining document command \arcsec with arg. spec. '' on line 322.
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. Defining document command \arccot with arg. spec. '' on line 324.
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. Defining document command \asin with arg. spec. '' on line 327.
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. Defining document command \acos with arg. spec. '' on line 329.
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. Defining document command \atan with arg. spec. '' on line 331.
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. 
. Defining document command \acsc with arg. spec. '' on line 333.
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. Defining document command \asec with arg. spec. '' on line 335.
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. Defining document command \acot with arg. spec. '' on line 337.
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* 
* Redefining document command \sinh with arg. spec. '' on line 339.
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* 
* Redefining document command \cosh with arg. spec. '' on line 340.
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* 
* Redefining document command \tanh with arg. spec. '' on line 341.
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. Defining document command \csch with arg. spec. '' on line 343.
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. Defining document command \sech with arg. spec. '' on line 345.
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* 
* Redefining document command \coth with arg. spec. '' on line 346.
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* 
* Redefining document command \exp with arg. spec. '' on line 348.
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* 
* Redefining document command \log with arg. spec. '' on line 349.
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* 
* Redefining document command \ln with arg. spec. '' on line 350.
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* 
* Redefining document command \det with arg. spec. '' on line 351.
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* 
* Redefining document command \Pr with arg. spec. '' on line 352.
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. 
. Defining document command \tr with arg. spec. '' on line 353.
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. Defining document command \Tr with arg. spec. '' on line 354.
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. Defining document command \Res with arg. spec. '' on line 355.
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. Defining document command \qqtext with arg. spec. ' s m ' on line 377.
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. 
. Defining document command \qq with arg. spec. '' on line 378.
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. Defining document command \qcomma with arg. spec. '' on line 380.
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. Defining document command \qc with arg. spec. '' on line 381.
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. Defining document command \qif with arg. spec. 's' on line 383.
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. 
. Defining document command \qthen with arg. spec. 's' on line 384.
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. 
. Defining document command \qelse with arg. spec. 's' on line 385.
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. 
. Defining document command \qotherwise with arg. spec. 's' on line 386.
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. 
. Defining document command \qunless with arg. spec. 's' on line 387.
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. 
. Defining document command \qgiven with arg. spec. 's' on line 388.
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. 
. Defining document command \qusing with arg. spec. 's' on line 389.
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. 
. Defining document command \qassume with arg. spec. 's' on line 390.
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. 
. Defining document command \qsince with arg. spec. 's' on line 391.
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. 
. Defining document command \qlet with arg. spec. 's' on line 392.
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. 
. Defining document command \qfor with arg. spec. 's' on line 393.
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. 
. Defining document command \qall with arg. spec. 's' on line 394.
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. 
. Defining document command \qeven with arg. spec. 's' on line 395.
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. 
. Defining document command \qodd with arg. spec. 's' on line 396.
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. 
. Defining document command \qinteger with arg. spec. 's' on line 397.
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. 
. Defining document command \qand with arg. spec. 's' on line 398.
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. Defining document command \qor with arg. spec. 's' on line 399.
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. Defining document command \qas with arg. spec. 's' on line 400.
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. Defining document command \qin with arg. spec. 's' on line 401.
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. Defining document command \qcc with arg. spec. 's' on line 402.
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. 
. Defining document command \differential with arg. spec. ' o g d() ' on line
. 415.
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. Defining document command \dd with arg. spec. '' on line 416.
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. 
. Defining document command \derivative with arg. spec. ' s o m g d() ' on
. line 435.
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. Defining document command \dv with arg. spec. '' on line 436.
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. Defining document command \partialderivative with arg. spec. ' s o m g g d()
. ' on line 460.
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. Defining document command \pderivative with arg. spec. '' on line 461.
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. Defining document command \pdv with arg. spec. '' on line 462.
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. 
. Defining document command \variation with arg. spec. ' o g d() ' on line
. 474.
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. Defining document command \var with arg. spec. '' on line 475.
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. Defining document command \functionalderivative with arg. spec. ' s o m g
. d() ' on line 494.
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. Defining document command \fderivative with arg. spec. '' on line 495.
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. Defining document command \fdv with arg. spec. '' on line 496.
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. Defining document command \bra with arg. spec. ' s m t\ket s g ' on line
. 526.
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. 
. Defining document command \ket with arg. spec. ' s m ' on line 533.
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. Defining document command \innerproduct with arg. spec. ' s m g ' on line
. 548.
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. Defining document command \braket with arg. spec. '' on line 549.
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. Defining document command \ip with arg. spec. '' on line 550.
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. Defining document command \outerproduct with arg. spec. ' s m g ' on line
. 565.
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. Defining document command \dyad with arg. spec. '' on line 566.
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. Defining document command \op with arg. spec. '' on line 567.
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. Defining document command \ketbra with arg. spec. '' on line 568.
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. 
. Defining document command \expectationvalue with arg. spec. ' s s m g ' on
. line 587.
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. Defining document command \expval with arg. spec. '' on line 588.
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. Defining document command \ev with arg. spec. '' on line 589.
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. Defining document command \vev with arg. spec. ' m ' on line 590.
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. 
. Defining document command \matrixelement with arg. spec. ' s s m m m ' on
. line 601.
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. 
. Defining document command \matrixel with arg. spec. '' on line 602.
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. Defining document command \mel with arg. spec. '' on line 603.
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. Defining document command \identitymatrix with arg. spec. 'm' on line 633.
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. Defining document command \imat with arg. spec. '' on line 634.
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. Defining document command \xmatrix with arg. spec. ' s m m m ' on line 659.
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. Defining document command \xmat with arg. spec. '' on line 660.
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. Defining document command \zeromatrix with arg. spec. ' m g ' on line 662.
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. Defining document command \zmat with arg. spec. '' on line 663.
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. Defining document command \paulixmatrix with arg. spec. '' on line 665.
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. Defining document command \pauliymatrix with arg. spec. '' on line 666.
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. Defining document command \paulizmatrix with arg. spec. '' on line 667.
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. 
. Defining document command \paulimatrix with arg. spec. 'm' on line 678.
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. Defining document command \pmat with arg. spec. '' on line 679.
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. Defining document command \diagonalmatrix with arg. spec. 'O{} >{\SplitList
. {,}}m ' on line 681.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \@dmat with arg. spec. 'mmggggggg' on line 714.
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. Defining document command \dmat with arg. spec. '' on line 715.
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. Defining document command \antidiagonalmatrix with arg. spec. 'O{}
. >{\SplitList {,}}m ' on line 717.
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. LaTeX info: "xparse/define-command"
. 
. Defining document command \@admat with arg. spec. 'mmggggggg' on line 750.
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. 
. Defining document command \admat with arg. spec. '' on line 751.
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. Defining document command \flatfrac with arg. spec. ' m m ' on line 754.
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. LaTeX info: "xparse/define-command"
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. Defining document command \homework with arg. spec. '' on line 764.
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\IeC {\textsection } 5.
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o 0 on input line 465.
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\IeC {\textsection } 6.
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\IeC {\textsection } 7.
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\IeC {\textsection } 8.
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\IeC {\textsection } 9.
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\IeC {\textsection } 10.
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\IeC {\textsection } 11.
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\IeC {\textsection } 12.
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\IeC {\textsection } 13.
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[]\T1/cmr/m/n/10.95 Sei $\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 2 \U/msb/m/n
/10.95 N$ \T1/cmr/m/n/10.95 und $\OML/cmm/m/it/10.95 j \OT1/cmr/m/n/10.95 := []
\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 (1)\OML/cmm/m/it
/10.95 ; ^^^\OT1/cmr/m/n/10.95 (2)\OML/cmm/m/it/10.95 ; [] ; ^^^\OT1/cmr/m/n/10
.95 (\OML/cmm/m/it/10.95 n\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 g$\T1/cmr/m/n
/10.95 . Dann: $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 
(1)\OML/cmm/m/it/10.95 ; ^^^\OT1/cmr/m/n/10.95 (2)\OML/cmm/m/it/10.95 ; [] ; ^^
^\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 n\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.
95 g ^^R f\OT1/cmr/m/n/10.95 1\OML/cmm/m/it/10.95 ; \OT1/cmr/m/n/10.95 2\OML/cm
m/m/it/10.95 ; [] ; j\OMS/cmsy/m/n/10.95 g  \OT1/cmr/m/n/10.95 =[]\OMS/cmsy/m/n
/10.95 )
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[]$\OML/cmm/m/it/10.95 E\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/
10.95 + \OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 E\OT1/c
mr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 E\OT
1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 ) \OMS/cmsy/m/n/10.95 
8\OML/cmm/m/it/10.95 x; y \OMS/cmsy/m/n/10.95 2 \U/msb/m/n/10.95 R$\T1/cmr/m/n/
10.95 ; all-ge-mein: $\OML/cmm/m/it/10.95 E\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10
.95 x[] \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95 + [] + 
\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) =
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\IeC {\textsection } 14.
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\IeC {\textsection } 15.
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\IeC {\textsection } 16.
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\IeC {\textsection } 17.
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\IeC {\textsection } 18.
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\c@curreigenschaftenctr=\count334
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\IeC {\textsection } 20.
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\IeC {\textsection } 21.
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\T1/cmr/m/n/10.95 Es gilt: $\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 = \OML/cmm
/m/it/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OM
L/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ))(\OMS/cmsy/m/n/10.95 ^^C\OT1/cmr/m/n/10.
95 ) \OMS/cmsy/m/n/10.95 8\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 ^^U \OT1/cm
r/m/n/10.95 0$ \T1/cmr/m/n/10.95 An-nah-me: $\OML/cmm/m/it/10.95 f[]$ \T1/cmr/m
/n/10.95 ist dif-fe-ren-zier-bar in $\OML/cmm/m/it/10.95 x[] \OT1/cmr/m/n/10.95
 = 0  []
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\IeC {\textsection } 22.
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\c@currmerkregelctr=\count336
\c@endmerkregelctr=\count337
\c@merkregel=\count338
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\IeC {\textsection } 23.
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