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.
Definition. A trademark is any word, name, symbol, or design, or any combination thereof, used in commerce to identify and distinguish the goods of one manufacturer or seller from those of another and to indicate the source of the goods.See 15 U.S.C. Â§ 1127. See also service mark, collective mark, certification mark, trade name. trademark is any word, name, symbol, or design, or any combination thereof, used in commerce to identify and distinguish the goods of one manufacturer or seller from those of another and to indicate the source of the goods. See 15 U.S.C.