Given a vector space V over a subfield F of the complex numbers, a norm on V is a function p: V â R with the following properties: For all a â F and all u, v â V, p(av) = | a | p(v) (being absolutely homogeneous or absolutely scalable).
A registered trademark confers a bundle of exclusive rights upon the registered owner, including the right to exclusive use of the mark in relation to the products or services for which it is registered.he trademark owner can be an individual, business organization, or any legal entity. A trademark may be located on a package, a label, a voucher, or on the product itself.
In some countries it is against the law to use the registered trademark symbol for a mark that is not officially registered in any country. Trademarks not officially registered can instead be marked with the trademark symbol â¢, while unregistered service marks are marked with the service mark symbol â .The proper manner to display these symbols is immediately following the mark, and is commonly in superscript style but is not legally required.rademarks not officially registered can instead be marked with the trademark symbol â¢, while unregistered service marks are marked with the service mark symbol â .