Frölicher–Nijenhuis bracket: Difference between revisions

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'''Angle notation''' or [[phasor (sine waves)|phasor]] notation is a notation used in electronics. &nbsp;<math>1\ang \theta </math> can represent either the [[Euclidean vector|vector]] &nbsp;<math>(\cos \theta, \sin \theta)\,</math>&nbsp;  or the [[complex number]] &nbsp;<math>\cos \theta + j \sin \theta = e^{j\theta},\,</math>&nbsp; both of which have magnitudes of 1. &nbsp;A vector whose [[Polar_coordinates#Complex_numbers|polar coordinates]] are magnitude &nbsp;<math>A</math>&nbsp; and angle &nbsp;<math>\theta</math>&nbsp; is written &nbsp;<math>A \ang \theta.</math><ref>{{cite book
|title=Electric circuits
|edition=8th
|first1=James William
|last1=Nilsson
|first2=Susan A.
|last2=Riedel
|publisher=Prentice Hall
|year=2008
|isbn=0-13-198925-1
|page=338
|url=http://books.google.com/books?id=sxmM8RFL99wC}}, [http://books.google.com/books?id=sxmM8RFL99wC&pg=PA338 Chapter 9, page 338]
</ref>&nbsp; &nbsp; For converting between polar and rectangular forms, see [[Polar_coordinates#Converting_between_polar_and_Cartesian_coordinates|Converting between polar and Cartesian coordinates]].
 
In [[electronics]] and [[electrical engineering]], there may also be an implied conversion from degrees to [[radian]]s. For example &nbsp;<math>1\ang 90</math>&nbsp; would be assumed to be &nbsp;<math>1\ang 90^\circ,</math>&nbsp; which is the vector &nbsp;<math>(0,1)\,</math>&nbsp; or the number &nbsp;<math>e^{j\pi/2}.\,</math>
 
==References==
{{reflist}}
 
[[Category:Electronic engineering]]

Revision as of 15:31, 20 April 2013

Angle notation or phasor notation is a notation used in electronics.  1θ can represent either the vector  (cosθ,sinθ)  or the complex number  cosθ+jsinθ=ejθ,  both of which have magnitudes of 1.  A vector whose polar coordinates are magnitude  A  and angle  θ  is written  Aθ.[1]    For converting between polar and rectangular forms, see Converting between polar and Cartesian coordinates.

In electronics and electrical engineering, there may also be an implied conversion from degrees to radians. For example  190  would be assumed to be  190,  which is the vector  (0,1)  or the number  ejπ/2.

References

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    My blog: http://www.primaboinca.com/view_profile.php?userid=5889534, Chapter 9, page 338