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Vec X)
Vec may mean: Mathematics: * vec(''A''), the Vectorization_(mathematics), vectorization of a matrix ''A''. * Vec denotes the category of vector spaces over the reals. Other: * Venetian language (Vèneto), language code. * Vecuronium, a muscle relaxant. * vec, a sentient moravec robot from the Orion's Arm Universe Project (see also Moravec_(robot)) See also * VEC (other) {{Disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vectorization (mathematics)
In mathematics, especially in linear algebra and matrix theory, the vectorization of a matrix is a linear transformation which converts the matrix into a vector. Specifically, the vectorization of a matrix ''A'', denoted vec(''A''), is the column vector obtained by stacking the columns of the matrix ''A'' on top of one another: \operatorname(A) = _, \ldots, a_, a_, \ldots, a_, \ldots, a_, \ldots, a_\mathrm Here, a_ represents the element in the ''i''-th row and ''j''-th column of ''A'', and the superscript ^\mathrm denotes the transpose. Vectorization expresses, through coordinates, the isomorphism \mathbf^ := \mathbf^m \otimes \mathbf^n \cong \mathbf^ between these (i.e., of matrices and vectors) as vector spaces. For example, for the 2×2 matrix A = \begin a & b \\ c & d \end, the vectorization is \operatorname(A) = \begin a \\ c \\ b \\ d \end. The connection between the vectorization of ''A'' and the vectorization of its transpose is given by the commutation matrix ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Category Of Vector Spaces
In algebra, given a ring ''R'', the category of left modules over ''R'' is the category whose objects are all left modules over ''R'' and whose morphisms are all module homomorphisms between left ''R''-modules. For example, when ''R'' is the ring of integers Z, it is the same thing as the category of abelian groups. The category of right modules is defined in a similar way. One can also define the category of bimodules over a ring ''R'' but that category is equivalent to the category of left (or right) modules over the enveloping algebra of ''R'' (or over the opposite of that). Note: Some authors use the term module category for the category of modules. This term can be ambiguous since it could also refer to a category with a monoidal-category action. Properties The categories of left and right modules are abelian categories. These categories have enough projectives and enough injectives. Mitchell's embedding theorem states every abelian category arises as a full subcate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Venetian Language
Venetian, also known as wider Venetian or Venetan ( or ), is a Romance languages, Romance language spoken natively in the northeast of Italy,Ethnologue mostly in Veneto, where most of the five million inhabitants can understand it. It is sometimes spoken and often well understood outside Veneto: in Trentino, Friuli, the Julian March, Istria, and some towns of Slovenia, Dalmatia (Croatia) and Bay of Kotor (Montenegro) by a surviving autochthonous Venetian population, and in Argentina, Australia, Brazil, Canada, Mexico, the United States and the United Kingdom by Venetians in the diaspora. Although referred to as an "Italian dialect" (; ) even by some of its speakers, the label is primarily geographic. Venetian is a separate language from Italian, with many local varieties. Its precise place within the Romance language family remains somewhat controversial. Both Ethnologue and Glottolog group it into the ''Gallo-Italic'' branch (and thus, closer to French language, French and E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vecuronium
Vecuronium bromide, sold under the brand name Norcuron among others, is a medication used as part of general anesthesia to provide skeletal muscle relaxation during surgery or mechanical ventilation. It is also used to help with endotracheal intubation; however, agents such as suxamethonium (succinylcholine) or rocuronium are generally preferred if this needs to be done quickly. It is given by injection into a vein. Effects are greatest at about 4 minutes and last for up to an hour. Side effects may include low blood pressure and prolonged paralysis. Allergic reactions are rare. It is unclear if use in pregnancy is safe for the baby. Vecuronium is in the aminosteroid neuromuscular-blocker family of medications and is of the non-depolarizing type. It works by competitively blocking the action of acetylcholine on skeletal muscles. The effects may be reversed with sugammadex or a combination of neostigmine and glycopyrrolate. To minimize residual blockade, reversal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Orion's Arm
Orion's Arm (also called the Orion's Arm Universe Project, OAUP, or simply OA) is a multi-authored online hard science fiction world-building project, first established in 2000 by M. Alan Kazlev, Donna Malcolm Hirsekorn, Bernd Helfert and Anders Sandberg and further co-authored by many people since. Anyone can contribute articles, stories, artwork, or music to the website. A large mailing list exists, in which members debate aspects of the world they are creating, discussing additions, modifications, issues arising, and work to be done. A computer game and a tabletop role-playing game are being developed by the community, within the OA milieu. There is an ezine for Orion's Arm fiction, art, and commentary, called ''Voices: Future Tense'', add-ons for the Celestia program to displaying Orion's Arm planets, spacecraft and other objects, and additional transhumanist flavored SF illustrations. The first published Orion's Arm book, a collection of five novellas set within the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moravec (robot)
''Ilium/Olympos'' is a series of two science fiction novels by Dan Simmons. The events are set in motion by beings who appear to be ancient Greek gods. Like Simmons' earlier series, the Hyperion Cantos, it is a form of "literary science fiction"; it relies heavily on intertextuality, in this case with Homer and Shakespeare as well as references to Marcel Proust's '' À la recherche du temps perdu'' (or ''In Search of Lost Time'') and Vladimir Nabokov's novel '' Ada or Ardor: A Family Chronicle''. As with most of his science fiction and in particular with '' Hyperion'', '' Ilium'' demonstrates that Simmons writes in the soft science fiction tradition of Ray Bradbury and Ursula K. Le Guin. ''Ilium'' is based on a literary approach similar to most of Bradbury's work, but describes larger segments of society and broader historical events. As in Le Guin's Hainish series, Simmons places the action of ''Ilium'' in a vast and complex universe made of relatively plausible technological ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
