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A finite abelian group of order n has exactly n distinct characters. These are denoted by f 1, ..., f n. The function f 1 is the trivial representation, which is given by () = for all . It is called the principal character of G; the others are called the non-principal characters.
A character χ ρ is called irreducible or simple if ρ is an irreducible representation. The degree of the character χ is the dimension of ρ; in characteristic zero this is equal to the value χ(1). A character of degree 1 is called linear. When G is finite and F has characteristic zero, the kernel of the character χ ρ is the normal subgroup:
A multiplicative character (or linear character, or simply character) on a group G is a group homomorphism from G to the multiplicative group of a field , usually the field of complex numbers. If G is any group, then the set Ch( G ) of these morphisms forms an abelian group under pointwise multiplication.
Also apophthegm. A terse, pithy saying, akin to a proverb, maxim, or aphorism. aposiopesis A rhetorical device in which speech is broken off abruptly and the sentence is left unfinished. apostrophe A figure of speech in which a speaker breaks off from addressing the audience (e.g., in a play) and directs speech to a third party such as an opposing litigant or some other individual, sometimes ...
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The meanings of these words do not always correspond to Germanic cognates, and occasionally the specific meaning in the list is unique to English. Those Germanic words listed below with a Frankish source mostly came into English through Anglo-Norman, and so despite ultimately deriving from Proto-Germanic, came to English through a Romance ...
The term character development is sometimes used as a synonym. This representation may include direct methods like the attribution of qualities in description or commentary, and indirect (or "dramatic") methods inviting readers to infer qualities from characters' actions , dialogue , or appearance.
Derivative cognates are a classification of Chinese characters which have similar meanings and often the same etymological root, but which have diverged in pronunciation and meaning. An example is the doublet 考 and 老. At one time they were pronounced similarly and meant "old (person)."