By Voss H.

Greater than as soon as humans say that TEX was once designed for mathematical or technical goal. This probably actual once we be mindful the explanations why Donald Knuth created TEX. yet these days there are various examples the place TEX used to be used for courses with none mathematical or technical heritage. however, we need to think of, that writing courses with loads of mathematical fabric is without doubt one of the very important merits of TEX and it appears is most unlikely to grasp all latest macros and strategies of (LA)TEX and the various extra applications, specially AMSmath. because of this why i attempted to gather all very important proof during this paper.

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**Example text**

Nabla _{ k } f _{ ij }\ nabla ^{ k } f ^{ ij }+ f ^{ ij } f ^{ k }\ left [2\ nabla _{ i } R _{ jk } \ nabla _{ k } R _{ ij }\ right ]\ vphantom {\ sum _{ i < j }}\ right ) \ end { multline } Instead of using the \vphantom command it is also possible to use fixedwidth parentheses, which is described in section 8 on page 26. 5 cases environment This gives support for an often used mathematical construct. } \end{cases}$ which gives equation II-83. It is obvious what the problem is. 0 if A=...

One of them is to use the \vphantom command, which reserves the vertical space without any horizontal one, like a vertical rule without any thickness. The sum symbol from the first line is the biggest one and responsible for the height, so this one is the argument of \vphantom which has to be placed anywhere. +\ nabla _{ k } f _{ ij }\ nabla ^{ k } f ^{ ij }+ f ^{ ij } f ^{ k }\ left [2\ nabla _{ i } R _{ jk } \ nabla _{ k } R _{ ij }\ right ]\ vphantom {\ sum _{ i < j }}\ right ) \ end { multline } Instead of using the \vphantom command it is also possible to use fixedwidth parentheses, which is described in section 8 on page 26.

Rlrl} horizontal alignment with a vertical column alignment. \end{alignat*} exists. • Not numbered single rows are possible with \nonumber. 3 flalign environment \begin{flalign} This is the new replacement for the xalignat and xxalignat environments. It is nearly the same as the xalignat environment, only more “out spaced” \end{flalign} and “left aligned”. 33i22 2 (II-61) (II-62) As seen, the equations are not really left aligned, when they have only one ampersand. In this case flalign has the same behaviour as the align environment.

### Math Mode v1.91 by Voss H.

by Mark

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