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HomeMatlabHouse Displayed Mathematical Equations – Nick Higham

# House Displayed Mathematical Equations – Nick Higham

An equation or different mathematical assemble is separated from a qualifying expression by a `quad`. Examples:

$notag |a_{ii}| ge displaystylesum_{jne i} |a_{ij}|, quad i=1colon n.$

$notag fl(xmathbin{mathrm{op}}y) = (xmathbin{mathrm{op}} y)(1+delta), quad |delta|le u, quad mathbin{mathrm{op}} =+,-,*,/.$

$notag y' = t^2+y^2, quad 0le tle 1, quad y(0)=0.$

When the qualifying expression is a prepositional phrase it’s given normal sentence spacing. Examples:

$notag min_x c^Tx quad mathrm{subject~to~} Ax=b,~ xge 0.$

$notag |J(v)-J(w)| le theta_L |v-w| quad mathrm{for~all~} v,w in mathbb{R}^n.$

The primary instance was typed as (utilizing the `equation*` surroundings supplied by the `amsmath` bundle)

```start{equation*}
min_x c^Tx quad textual content{topic to \$Ax=b\$, \$xge 0\$}.
finish{equation*}
```

Right here, the qualifying phrase is positioned inside a `textual content` command, which jumps out of math mode and codecs its argument as common textual content, with the same old interword spacing in impact, and we re-enter math mode for the situations. That is higher than writing

```min_x c^Tx quad textual content{topic to} ~Ax=b, ~xge 0.
```

with onerous areas. Observe that `textual content` is a command from the `amsmath` bundle, and it’s just like the LaTeX command `mbox` and the TeX command `hbox`, each of which work equally nicely right here.

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