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''