Sunday, March 3, 2024
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)

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

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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