Discrete valuation: Difference between revisions
Jump to navigation
Jump to search
en>Helpful Pixie Bot m ISBNs (Build KH) |
en>Addbot m Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q5282068 |
||
| Line 1: | Line 1: | ||
In [[multilinear algebra]], a '''multilinear form''' is a [[Map (mathematics)|map]] of the type | |||
:<math>f: V^n \to K , </math> | |||
where ''V'' is a [[vector space]] over the [[field (mathematics)|field]] ''K'', that is separately [[linear]] in each its ''n'' variables.<ref>{{MathWorld |title=Multilinear Form |urlname=MultilinearForm}}</ref> | |||
For ''n'' = 2, i.e. only two variables, one calls ƒ a [[bilinear form]]. | |||
An important type of multilinear forms are ''alternating multilinear forms'' which have the additional property of changing their sign under exchange of two arguments. When ''K'' has [[characteristic (algebra)|characteristic]] other than 2, this is equivalent to saying that | |||
:<math>f(\dots,x,\dots,x,\dots) = 0 , </math> | |||
i.e. the form vanishes if supplied the same argument twice. (The exceptional case of characteristic 2 requires more care.) Special cases of these are [[determinant]] forms and [[differential form]]s. | |||
==See also== | |||
*[[Multilinear map]] | |||
*[[Homogeneous polynomial]] | |||
==References== | |||
{{Reflist}} | |||
{{DEFAULTSORT:Multilinear Form}} | |||
[[Category:Multilinear algebra]] | |||
Latest revision as of 11:42, 13 March 2013
In multilinear algebra, a multilinear form is a map of the type
where V is a vector space over the field K, that is separately linear in each its n variables.[1]
For n = 2, i.e. only two variables, one calls ƒ a bilinear form.
An important type of multilinear forms are alternating multilinear forms which have the additional property of changing their sign under exchange of two arguments. When K has characteristic other than 2, this is equivalent to saying that
i.e. the form vanishes if supplied the same argument twice. (The exceptional case of characteristic 2 requires more care.) Special cases of these are determinant forms and differential forms.
See also
References
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
- ↑
I had like 17 domains hosted on single account, and never had any special troubles. If you are not happy with the service you will get your money back with in 45 days, that's guaranteed. But the Search Engine utility inside the Hostgator account furnished an instant score for my launched website. Fantastico is unable to install WordPress in a directory which already have any file i.e to install WordPress using Fantastico the destination directory must be empty and it should not have any previous installation files. When you share great information, others will take note. Once your hosting is purchased, you will need to setup your domain name to point to your hosting. Money Back: All accounts of Hostgator come with a 45 day money back guarantee. If you have any queries relating to where by and how to use Hostgator Discount Coupon, you can make contact with us at our site. If you are starting up a website or don't have too much website traffic coming your way, a shared plan is more than enough. Condition you want to take advantage of the worldwide web you prerequisite a HostGator web page, -1 of the most trusted and unfailing web suppliers on the world wide web today. Since, single server is shared by 700 to 800 websites, you cannot expect much speed.
Hostgator tutorials on how to install Wordpress need not be complicated, especially when you will be dealing with a web hosting service that is friendly for novice webmasters and a blogging platform that is as intuitive as riding a bike. After that you can get Hostgator to host your domain and use the wordpress to do the blogging. Once you start site flipping, trust me you will not be able to stop. I cut my webmaster teeth on Control Panel many years ago, but since had left for other hosting companies with more commercial (cough, cough) interfaces. If you don't like it, you can chalk it up to experience and go on. First, find a good starter template design. When I signed up, I did a search for current "HostGator codes" on the web, which enabled me to receive a one-word entry for a discount. Your posts, comments, and pictures will all be imported into your new WordPress blog.