Difference between revisions of "Strip"
From Encyclopedia of Mathematics
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| + | $#A+1 = 12 n = 0 | ||
| + | $#C+1 = 12 : ~/encyclopedia/old_files/data/S090/S.0900480 Strip | ||
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| + | The set of points in a plane between two parallel straight lines in this plane. The coordinates $ x , y $ | ||
| + | of a point in a strip satisfy inequalities $ C _ {1} < Ax + By < C _ {2} $, | ||
| + | where $ A $, | ||
| + | $ B $, | ||
| + | $ C _ {1} $, | ||
| + | $ C _ {2} $ | ||
| + | are certain constants with $ A $ | ||
| + | and $ B $ | ||
| + | not both equal to zero. The function $ w = e ^ {z} $ | ||
| + | maps the strip $ 0 < y < \pi $ | ||
| + | in the complex plane $ ( z = x + iy ) $ | ||
| + | conformally onto the upper half-plane of the complex $ w $- | ||
| + | plane. | ||
====Comments==== | ====Comments==== | ||
| − | |||
====References==== | ====References==== | ||
<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> R.V. Churchill, J.W. Brown, R.F. Verhey, "Complex variables and applications" , McGraw-Hill (1974)</TD></TR></table> | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> R.V. Churchill, J.W. Brown, R.F. Verhey, "Complex variables and applications" , McGraw-Hill (1974)</TD></TR></table> | ||
Latest revision as of 08:23, 6 June 2020
The set of points in a plane between two parallel straight lines in this plane. The coordinates $ x , y $
of a point in a strip satisfy inequalities $ C _ {1} < Ax + By < C _ {2} $,
where $ A $,
$ B $,
$ C _ {1} $,
$ C _ {2} $
are certain constants with $ A $
and $ B $
not both equal to zero. The function $ w = e ^ {z} $
maps the strip $ 0 < y < \pi $
in the complex plane $ ( z = x + iy ) $
conformally onto the upper half-plane of the complex $ w $-
plane.
Comments
References
| [a1] | R.V. Churchill, J.W. Brown, R.F. Verhey, "Complex variables and applications" , McGraw-Hill (1974) |
How to Cite This Entry:
Strip. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Strip&oldid=48871
Strip. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Strip&oldid=48871
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article