abstract algebra known as representation theory, a faithful representation ρ of a group G on a vector space V is a linear representation in which different elements...

&0\\0&u^{2}\\\end{bmatrix}}.} This representation is faithful because ρ is a one-to-one map. Another representation for C3 on C 2 {\displaystyle \mathbb...

to a smallest-dimensional faithful representation, though this is also often called the standard or defining representation (a term referring more to...

Anusaaraka is an English to Hindi language accessing (translation) software, which employs algorithms derived from Pāṇini's Ashtadhyayi (Grammar rules)...

"Faithful", by Pearl Jam from Yield, 1998 "Faithful", by Tyga from Kyoto, 2018 Faithful representation Faithful group action Faithful module Faithful functor...

users taken on the basis of the financial statements. Faithful Representation: Faithful representation means that the actual effects of the transactions shall...

pretends to be a faithful copy, but it is a copy with no original. Signs and images claim to represent something real, but no representation is taking place...

Information Systems (GIS). Anthropological field work requires a faithful representation of observations and a strict adherence to social and ethical responsibilities...

nature. The movement was an extension of realism, presenting the faithful representation of reality without moral judgment. Some authors, particularly playwrights...

hence recover a matrix representation with entries in the field F. An effective or faithful representation is a representation (V,φ), for which the homomorphism...