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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 ...
Shannon's article laid out the basic elements of communication: An information source that produces a message; A transmitter that operates on the message to create a signal which can be sent through a channel; A channel, which is the medium over which the signal, carrying the information that composes the message, is sent
In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix. The character carries the essential information about the representation in a more condensed form.
Mathematics has developed a rich terminology covering a broad range of fields that study the properties of various abstract, idealized objects and how they interact. It is based on rigorous definitions that provide a standard foundation for communication.
Frank Dance's helical model of communication was initially published in his 1967 book Human Communication Theory. [161] [162] [163] It is intended as a response to and an improvement over linear and circular models by stressing the dynamic nature of communication and how it changes the participants. Dance sees the fault of linear models as ...
In a different sense, the term communication refers to the message that is being communicated or to the field of inquiry studying communicational phenomena. [5] The precise characterization of communication is disputed. Many scholars have raised doubts that any single definition can capture the term accurately.
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Unlike other sciences, the formal sciences are not concerned with the validity of theories based on observations in the real world, but instead with the properties of formal systems based on definitions and rules. Mathematics – study of quantity, structure, space, and change. Mathematicians seek out patterns, and formulate new conjectures.