INFINITE ELECTRICAL
NETWORKS
A.H. Zemanian |
ERRATA
((In the following, one symbol does
not appear properly on this web-page display. When this occurs, I
explain what the proper symbol is by a statement in double
parentheses. Also, upon request, I will send by regular mail a hard
copy with that symbol correctly displayed.))
Page vii, third line of main text: Change ``72'' to ``74''
Page ix, line 6 down: Change ``154'' to ``157''
Page 36, line 2 down: Delete the first ``of''
Page 73, line 12 up: Replace ``nodes of ranks 0 or 1'' by
``branches''
Page 81, line 5 up: Insert a subscript ``j'' on ``r''
Page 85, line 17 down: Insert ``unique'' before ``member''
Page 94, in Figure 3.11: Insert ``+'' above and ``-'' below
``voj(n)''
Page 104, first line: Delete ``or 1-path''
Page 104, lines 5 through 7 down: Replace those three entire
lines by ``a perceptible 0-path P that terminally meets both x and n
and lies in the same 0-section as the representatives of t, then t
(and x as well) is said to be perceptible from n. Assign a
voltage u to n and call it a node voltage.''
Page 104, lines 14 and 15 up: Replace the phrase ``all
embraced by Pa and also by Pb.'' by the phrase
``in Pa and also in Pb (with in general a
different order).''
Page 104, last line, and page 105, first line: Replace
``meet infinitely often along a sequence { n1,n2,¼}
of 0-nodes nk.'' by ``meet at infinitely many 0-nodes nk
(but possibly in different orders).''
Page 106, line 8 up: Delete ``or 1-path''
Page 120, line 9 down: Delete the second ``the''
Page 128, line 15 up: Replace ``dt'' by ``df''
Page 130, line 14 up: Replace ``allowed'' by ``assumed''
Page 131: Expand Lemma 4.7-2 to read ``R maps lM
into lM*. (G is the inverse of R).''
Page 131, line 12 up: After ``Therefore,'' insert the phrase
``for sums over such j,''
Page 146, line 7 down: Replace ``nodes'' by ``0-nodes''
Page 146, line 8 down: Replace ``nodes'' by ``branches''
Page 146, lines 19 and 20: Lemma 5.1-7 should read as
follows: ``An n-path can pass into or out of a q-section Sq
(i.e., it can embrace a branch in Sq and a branch not in
Sq) only if n>q.''
Page 146, line 13 up: replace ``lying in different
q-sections.'' by ``not in the same q-section.''
Page 147, lines 10 and 11 up: Replace the phrase ``These
conditions imply that Pmpm-1
meets xm+1pm+1 at a node of rank pm
or less and therefore'' by ``As a consequence of these conditions,
at least one of the two paths Pmpm-1
and''
Page 148, lines 5 through 8 down: Replace the definition of
an [(w)\vec]-tip by ``Two [(w)\vec]-paths
are called equivalent if they have representatives such as
(5.5) that differ by no more than a finite number of members. Then,
an [(w)\vec]-tip t[(w)\vec]
is an equivalence class of pairwise equivalent [(w)\vec]-paths.''
((``[(w)\vec]'' should be ``omega with an
arrow over it''. Make the same alteration in the next five
corrections.))
Page 148, last line: Replace the first superscript ``[(w)\vec]''
by rm'' and the second
superscript ``[(w)\vec]'' by ``rm+1''
Page 149, line 2 down: Replace ``[(w)\vec]''
by ``rm £
[(w)\vec]''
Page 149, line 7 down: replace the superscript ``[(w)\vec]''
by ``rm''
Page 149, line 12 down: replace the superscript ``[(w)\vec]''
by ``rm''
Page 149, line 13 down: Just before the period add the
phrase ``whenever rm = [(w)\vec]''
Page 149, line 12 up: Replace ``nodes'' by ``0-nodes''
Page 150, line 12 up: Replace ``nodes'' by ``0-nodes''
Page 151, third line of the Figure caption: Replace
``2-extremity'' by ``2-node''
Page 154, line 17 down: Italicize ``finite'' and
``diameter''
Page 156, line 5 down: Replace ``gj = 0'' by ``rj
< ¥''
Page 156, line 19 up: Replace ``network'' by ``0-section''
Page 156, line 18 up: Replace the comma by a semicolon, and
delete ``but now''
Page 156, line 17 up: Replace ``p-tips'' by ``0-tips'' and
replace ``nodes'' by ``0-nodes''
Page 156, line 16 up: Replace ``p-tips'' by ``0-tips'' and
replace ``more complicated [182, Sections 14 and 15]'' by ``as
before''
Page 194, line 9 up: Replace ``same indices k as do their
arguments.'' by ``indices k given in the next equations.''
Page 228, line 9 down: Replace ``8'' by ``2''
Page 228, line 11 down: Replace ``8'' by ``2''
Page 232, line 2 down in main text: Add the parenthetical
statement ``(All this extends to more complicated boxes that
generate Laurent operators; see [170].)''
Page 266, line 10 down: Before ``functions'' insert
``voltage components of the''
Page 302, line 4 down: Replace ``in press, 1990.'' by ``38
(1991), 78-85.''
Page 302, line 6 down: Replace ``in press'' by ``4
(1991), 217-231.''
Page 302, line 11 down: Replace ``in press'' by ``334
(November, 1992), 1-36.''
Page 303: Add ``á·, ·ñ,
64, 77, 126''
Page 305: After ``embrace,'' change ``72'' to ``73''
Page 306: After ``Menger's theorem'' change ``28'' to ``36''
Page 307: After ``reciprocity principle'' add ``, 155'' |
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