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In mathematics, a characterization of an object is a set of conditions that, while possibly different from the definition of the object, is logically equivalent to it. [1] To say that "Property P characterizes object X" is to say that not only does X have property P, but that X is the only thing that has property P (i.e., P is a defining ...
Alex Kasman, a professor of mathematics at the College of Charleston, who maintains a database of works that could possibly be included in this genre, has a broader definition for the genre: Any work "containing mathematics or mathematicians" has been treated as mathematical fiction.
When θ is the trivial character of H, the induced character obtained is known as the permutation character of G (on the cosets of H). The general technique of character induction and later refinements found numerous applications in finite group theory and elsewhere in mathematics, in the hands of mathematicians such as Emil Artin , Richard ...
The term characterization was introduced in the 19th century. [3] Aristotle promoted the primacy of plot over characters, that is, a plot-driven narrative, arguing in his Poetics that tragedy "is a representation, not of men, but of action and life."
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.
This is the general model of characterization of probability distribution. Some examples of characterization theorems: The assumption that two linear (or non-linear) statistics are identically distributed (or independent, or have a constancy regression and so on) can be used to characterize various populations. [2]
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Literary work, it also includes theatrical, cinematic, documental, and musical work. In contrast to this is non-fiction, which deals exclusively in factual events (for example, biographies, histories). Semi-fiction or a fictionalization is fiction implementing a great deal of non-fiction; [1] for example, a fictional description based on a true ...