Here, $x,y subseteq X $ and $X$ is a collection of $d$-dimensional vectors. $dist(x,y)$ stands for the Eucledian distance in between $x$ and also $y$.

You are watching: What does forward slash mean in math

What is the emphasize notation in points $1)$ and also $3)$ ? ex: $N subseteq X/x$

Can you describe those clues in level English?

It (probably, ns can"t accessibility the complete text of the paper) way "without". So $X setminus x $ way "the collection $X$ without the point $x$", yet usually the backslash is supplied for that. The LaTeX command because that the cut is "setminus". That could additionally be quotient, for example used because that groups, climate $N / G$ method "$N$ modulo $G$".

Without much more context I would certainly assume the the writer offered the forward slash "/" instead of the much more conventional backward slash "" to denote set difference.Thus $A / B$ would denote the collection of aspects of $A$ which space not in $B$.

The an initial line then converts as "$N$ is the collection made up of the aspects of $X$ distinctive from $x$" while the 3rd translates together "Given any element $y$ of $N$ and any vector $z$ the $X$ which can not be created as the sum of an facet of $N$ and also $x$, the distance in between $x$ and $y$ is less than or equal that one between $x$ and also $z$".

Thanks because that contributing solution to betterworld2016.orgematics Stack Exchange!

Please be certain to*answer the question*. Administer details and share your research!

But *avoid* …

Use betterworld2016.orgJax to style equations. betterworld2016.orgJax reference.

See more: What Time Is Quarter To 11 ? Telling Time: A Quarter Past / To Eleven

To learn more, watch our tips on writing good answers.

post Your price Discard

By clicking “Post your Answer”, girlfriend agree come our regards to service, privacy policy and cookie plan

## Not the price you're spring for? Browse other questions tagged elementary-set-theory notation clustering or asking your own question.

site design / logo © 2021 stack Exchange Inc; user contributions licensed under cc by-sa. Rev2021.10.26.40573

betterworld2016.orgematics ridge Exchange works ideal with JavaScript allowed

her privacy

By clicking “Accept every cookies”, girlfriend agree stack Exchange have the right to store cookie on your device and disclose information in accordance v our Cookie Policy.