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.
Trademark registration includes public notice of the owner's claim to the mark, a legal presumption that the party that registered the mark owns it and has the exclusive right to use the mark in the U.S. and the ability to bring an action concerning the mark in federal court.