Vector Notation: Italic Boldface Symbolization

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Discussion Overview

The discussion revolves around the notation used to symbolize vectors in various texts and contexts. It explores different conventions in vector representation, including italic boldface, arrows, and upright boldface, as well as the implications of these choices for clarity and consistency in academic writing.

Discussion Character

  • Debate/contested

Main Points Raised

  • Some participants assert that vectors are symbolized as an italic boldface 'a', while others note that this is not universally true.
  • One participant mentions that some authors prefer using an arrow on top of the symbol, such as ##\vec a##, indicating a variation in notation based on author preference.
  • Another participant highlights that different textbooks adopt various conventions: for instance, Serway and Vuille's College Physics uses upright boldface with an arrow, while Griffiths's Introduction to Electrodynamics employs upright boldface without an arrow.
  • It is suggested that students should be aware of the conventions used in their specific textbooks and follow their instructor's preferences when writing assignments.
  • A later reply raises a practical consideration that writing by hand may lead to confusion between upright and italic, as well as between plain and boldface, potentially influencing the choice of notation in practice.

Areas of Agreement / Disagreement

Participants express differing views on the standard notation for vectors, indicating that there is no consensus on a single correct method. Multiple competing views remain regarding the preferred conventions.

Contextual Notes

The discussion reflects limitations in the clarity of notation across different texts and the potential for confusion in handwritten representations. The choice of notation may depend on specific academic contexts and instructor preferences.

Anonymous1
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is it true that vectors are symbolised as an italic boldface 'a'
 
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Not always. Some authors use an arrow on top: ##\vec a##. It depends on the preference of the author.
 
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Different textbooks and instructors use different conventions. Serway and Vuille's College Physics (8th edition) uses upright boldface with an arrow on top: ##\vec {\mathbf A}, \vec {\mathbf B}##. Knight, Jones and Field's College Physics (2nd edition) uses plain italic with an arrow on top: ##\vec A, \vec B##. Griffiths's Introduction to Electrodynamics (3rd edition) uses upright boldface without an arrow on top: ##\mathbf A, \mathbf B##.

You simply have to make yourself aware of the conventions that your textbooks use. When writing assignments, it's probably best to use whatever your instructor favors. I suspect that in the US at least, it's probably usually simply an arrow on top if you're writing by hand, because it takes careful handwriting to distinguish between upright and italic, and between plain and boldface.
 
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