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vector notation
Vector notation,〔Principles and Applications of Mathematics for Communications-electronics. (Pg 123 )〕〔Notes on fundamentals of telephone transmission. By American Telephone and Telegraph Company. Dept. of development and research. (Pg 50 )〕〔Electrical World, Volume 57. McGraw-Hill, 1911. (Pg 705 )〕 commonly used mathematical notation for working with mathematical vectors,〔(Vector Analysis ). By Joseph George Coffin.〕 which may be geometric vectors or abstract members of vector spaces.
For representing a vector,〔Oliver Heaviside, The Electrical Journal, Volume 28. James Gray, 1892. (109 ) ((alt ))〕〔Charles Proteus Steinmetz, Theory and Calculation of Alternating Current Phenomena.〕 the common typographic convention is upright boldface type, as in for a vector named ‘v’. In handwriting, where boldface type is either unavailable or unwieldy, vectors are often represented with right-pointing arrow notation or harpoons above their names, as in . Shorthand notations include tildes and straight lines placed above or below the name of a vector.
Between 1880 and 1887, Oliver Heaviside developed the operational calculus,〔(The Heaviside Operational Calculus ) www.quadritek.com/bstj/vol01-1922/articles/bstj1-2-43.pdf〕〔Involving the ''D'' notation for the differential operator, which he is credited with creating.〕 a method of solving differential equations by transforming them into ordinary algebraic equations which caused much controversy when introduced because of the lack of rigour in its derivation.〔He famously said, "Mathematics is an experimental science, and definitions do not come first, but later on." He was replying to criticism over his use of operators that were not clearly defined. On another occasion he stated somewhat more defensively, "I do not refuse my dinner simply because I do not understand the process of digestion."〕 After the turn of the 20th century, Josiah Willard Gibbs would in physical chemistry supply notation for the scalar product and vector products, which was introduced in ''Vector Analysis''.
==Rectangular vectors==
A rectangular vector is a coordinate vector specified by components that define a rectangle (or rectangular prism in three dimensions, and similar shapes in greater dimensions). The starting point and terminal point of the vector lie at opposite ends of the rectangle (or prism, etc.).
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