#SIXFORMAT GapDocGAP
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bookname := "RCWA",
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[ [ "Title page", "", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5" ],
[ "Abstract", "-2", [ 0, 0, 2 ], 31, 2, "abstract", "X7AA6C5737B711C89" ],
[ "Copyright", "-1", [ 0, 0, 1 ], 56, 2, "copyright", "X81488B807F2A1CF1" ],
[ "Acknowledgements", "-3", [ 0, 0, 3 ], 62, 2, "acknowledgements",
"X82A988D47DFAFCFA" ],
[ "Table of contents", "-4", [ 0, 0, 4 ], 76, 3, "table of contents",
"X8537FEB07AF2BEC8" ],
[ "\033[1XAbout the RCWA Package\033[0X", "1.", [ 1, 0, 0 ], 1, 6,
"about the rcwa package", "X83A8C2927FAE2C23" ],
[ "\033[1XMotivation\033[0X", "1.1", [ 1, 1, 0 ], 4, 6, "motivation",
"X816FA3667FFEDC3F" ],
[ "\033[1XPurpose of this package\033[0X", "1.2", [ 1, 2, 0 ], 26, 6,
"purpose of this package", "X78FE3F9D80DB633E" ],
[ "\033[1XGroups which this package can deal with\033[0X", "1.3",
[ 1, 3, 0 ], 44, 7, "groups which this package can deal with",
"X82190FB67F7F3325" ],
[ "\033[1XScope of this package\033[0X", "1.4", [ 1, 4, 0 ], 81, 7,
"scope of this package", "X84BA84177E640F2B" ],
[ "\033[1XResidue-Class-Wise Affine Mappings\033[0X", "2.", [ 2, 0, 0 ], 1,
8, "residue-class-wise affine mappings", "X7FD73FCB8510050E" ],
[ "\033[1XBasic definitions\033[0X", "2.1", [ 2, 1, 0 ], 12, 8,
"basic definitions", "X78ED07E37FC2BD46" ],
[ "\033[1XEntering residue-class-wise affine mappings\033[0X", "2.2",
[ 2, 2, 0 ], 54, 9, "entering residue-class-wise affine mappings",
"X86BC55648302D643" ],
[ "\033[1XRcwaMapping (the general constructor)\033[0X", "2.2-5",
[ 2, 2, 5 ], 281, 13, "rcwamapping the general constructor",
"X8799551B83644B37" ],
[ "\033[1XBasic arithmetic for residue-class-wise affine mappings\033[0X",
"2.3", [ 2, 3, 0 ], 433, 15,
"basic arithmetic for residue-class-wise affine mappings",
"X78E796B8824C4FC8" ],
[ "\033[1XAttributes and properties of residue-class-wise affine mappings\
\033[0X", "2.4", [ 2, 4, 0 ], 553, 17,
"attributes and properties of residue-class-wise affine mappings",
"X7C16D22C7BD40FDC" ],
[ "\033[1XFactoring residue-class-wise affine permutations\033[0X", "2.5",
[ 2, 5, 0 ], 751, 20, "factoring residue-class-wise affine permutations"
, "X8475F844869DD060" ],
[ "\033[1XExtracting roots of residue-class-wise affine mappings\033[0X",
"2.6", [ 2, 6, 0 ], 880, 22,
"extracting roots of residue-class-wise affine mappings",
"X8141065381B0942B" ],
[ "\033[1XSpecial functions for non-bijective mappings\033[0X", "2.7",
[ 2, 7, 0 ], 912, 23, "special functions for non-bijective mappings",
"X8322C6848305EC4C" ],
[ "\033[1XOn trajectories and cycles of residue-class-wise affine mappings\
\033[0X", "2.8", [ 2, 8, 0 ], 986, 24,
"on trajectories and cycles of residue-class-wise affine mappings",
"X7A34724386A2E9F3" ],
[ "\033[1XTrajectory (methods for rcwa mappings)\033[0X", "2.8-1",
[ 2, 8, 1 ], 991, 24, "trajectory methods for rcwa mappings",
"X7C72174D7CCB6348" ],
[ "\033[1XTrajectory (methods for rcwa mappings -- \"accumulated coefficient\
s\")\033[0X", "2.8-2", [ 2, 8, 2 ], 1025, 24,
"trajectory methods for rcwa mappings -- accumulated coefficients",
"X7FFD09837E934853" ],
[ "\033[1XIncreasingOn & DecreasingOn (for an rcwa mapping)\033[0X",
"2.8-3", [ 2, 8, 3 ], 1054, 25,
"increasingon & decreasingon for an rcwa mapping", "X7E0244A386744185" ]
, [ "\033[1XSources & Sinks (of an rcwa mapping)\033[0X", "2.8-8",
[ 2, 8, 8 ], 1158, 27, "sources & sinks of an rcwa mapping",
"X81DBA2D58526BE7E" ],
[ "\033[1XThe categories and families of rcwa mappings\033[0X", "2.9",
[ 2, 9, 0 ], 1275, 29, "the categories and families of rcwa mappings",
"X83FA71DD842377F0" ],
[ "\033[1XResidue-Class-Wise Affine Groups\033[0X", "3.", [ 3, 0, 0 ], 1,
30, "residue-class-wise affine groups", "X874A3BB684F0639A" ],
[ "\033[1XConstructing residue-class-wise affine groups\033[0X", "3.1",
[ 3, 1, 0 ], 7, 30, "constructing residue-class-wise affine groups",
"X81242A6586A604A3" ],
[ "\033[1XWreathProduct (for an rcwa group over Z, with a permutation group \
or (Z,+))\033[0X", "3.1-5", [ 3, 1, 5 ], 132, 32,
"wreathproduct for an rcwa group over z with a permutation group or z +"
, "X7AEFAB7E7F81444B" ],
[ "\033[1XRestriction (of an rcwa mapping or -group, by an injective rcwa ma\
pping)\033[0X", "3.1-6", [ 3, 1, 6 ], 179, 33,
"restriction of an rcwa mapping or -group by an injective rcwa mapping",
"X852EF2C079E4D7FF" ],
[ "\033[1XInduction (of an rcwa mapping or -group, by an injective rcwa mapp\
ing)\033[0X", "3.1-7", [ 3, 1, 7 ], 207, 33,
"induction of an rcwa mapping or -group by an injective rcwa mapping",
"X82171D7287CBED95" ],
[ "\033[1XBasic routines for investigating residue-class-wise affine groups\
\033[0X", "3.2", [ 3, 2, 0 ], 253, 34,
"basic routines for investigating residue-class-wise affine groups",
"X80C042BE82EE0F9A" ],
[ "\033[1XThe natural action of an rcwa group on the underlying ring\033[0X"
, "3.3", [ 3, 3, 0 ], 535, 39,
"the natural action of an rcwa group on the underlying ring",
"X8151BE577FFDCE87" ],
[ "\033[1XOrbit (for an rcwa group and either a point or a set)\033[0X",
"3.3-1", [ 3, 3, 1 ], 558, 39,
"orbit for an rcwa group and either a point or a set",
"X7C046BE97EE53692" ],
[ "\033[1XShortOrbits (for rcwa groups) & ShortCycles (for rcwa permutations\
)\033[0X", "3.3-3", [ 3, 3, 3 ], 636, 40,
"shortorbits for rcwa groups & shortcycles for rcwa permutations",
"X78F145197F63A25D" ],
[ "\033[1XBall (for group, element and radius or group, point, radius and ac\
tion)\033[0X", "3.3-4", [ 3, 3, 4 ], 677, 41,
"ball for group element and radius or group point radius and action",
"X8735855587CC029F" ],
[ "\033[1XSpecial attributes of tame residue-class-wise affine groups\033[0X\
", "3.4", [ 3, 4, 0 ], 852, 44,
"special attributes of tame residue-class-wise affine groups",
"X781CBEFA7F39B58D" ],
[ "\033[1XRespectedPartition (of a tame rcwa group or -permutation)\033[0X",
"3.4-1", [ 3, 4, 1 ], 864, 44,
"respectedpartition of a tame rcwa group or -permutation",
"X7F523A6B87825AB8" ],
[ "\033[1XActionOnRespectedPartition & KernelOfActionOnRespectedPartition\
\033[0X", "3.4-2", [ 3, 4, 2 ], 904, 45,
"actiononrespectedpartition & kernelofactiononrespectedpartition",
"X831ADC1584DE6113" ],
[ "\033[1XGenerating pseudo-random elements of RCWA(R) and CT(R)\033[0X",
"3.5", [ 3, 5, 0 ], 965, 46,
"generating pseudo-random elements of rcwa r and ct r",
"X81941A247942FB99" ],
[ "\033[1XThe categories of residue-class-wise affine groups\033[0X",
"3.6", [ 3, 6, 0 ], 1026, 47,
"the categories of residue-class-wise affine groups",
"X86327F6C83D09798" ],
[ "\033[1XResidue-Class-Wise Affine Monoids\033[0X", "4.", [ 4, 0, 0 ], 1,
48, "residue-class-wise affine monoids", "X81C90F7C7BA25BDF" ],
[ "\033[1XConstructing residue-class-wise affine monoids\033[0X", "4.1",
[ 4, 1, 0 ], 8, 48, "constructing residue-class-wise affine monoids",
"X83D42E26849D5580" ],
[ "\033[1XComputing with residue-class-wise affine monoids\033[0X", "4.2",
[ 4, 2, 0 ], 78, 49, "computing with residue-class-wise affine monoids",
"X8759954F7EB1A658" ],
[ "\033[1XBall (for monoid, element and radius or monoid, point, radius and \
action)\033[0X", "4.2-2", [ 4, 2, 2 ], 165, 51,
"ball for monoid element and radius or monoid point radius and action",
"X787848137DF1C245" ],
[ "\033[1XExamples\033[0X", "5.", [ 5, 0, 0 ], 1, 52, "examples",
"X7A489A5D79DA9E5C" ],
[ "\033[1XFactoring Collatz' permutation of the integers\033[0X", "5.1",
[ 5, 1, 0 ], 23, 52, "factoring collatz permutation of the integers",
"X86C2BAE3876985A6" ],
[ "\033[1XAn rcwa mapping which seems to be contracting, but very slow\033[0\
X", "5.2", [ 5, 2, 0 ], 137, 54,
"an rcwa mapping which seems to be contracting but very slow",
"X878499AF7889FD9E" ],
[ "\033[1XChecking a result by P. Andaloro\033[0X", "5.3", [ 5, 3, 0 ],
225, 56, "checking a result by p. andaloro", "X84A915BA833E0BDE" ],
[ "\033[1XTwo examples by Matthews and Leigh\033[0X", "5.4", [ 5, 4, 0 ],
266, 57, "two examples by matthews and leigh", "X7E8CD9B67ED78735" ],
[ "\033[1XExploring the structure of a wild rcwa group\033[0X", "5.5",
[ 5, 5, 0 ], 379, 59, "exploring the structure of a wild rcwa group",
"X7A8F55CA87A16900" ],
[ "\033[1XA wild rcwa mapping which has only finite cycles\033[0X", "5.6",
[ 5, 6, 0 ], 485, 61, "a wild rcwa mapping which has only finite cycles"
, "X7D0928AE839F1C49" ],
[ "\033[1XAn abelian rcwa group over a polynomial ring\033[0X", "5.7",
[ 5, 7, 0 ], 688, 65, "an abelian rcwa group over a polynomial ring",
"X7A8605E680F664BF" ],
[ "\033[1XA tame group generated by commutators of wild permutations\033[0X"
, "5.8", [ 5, 8, 0 ], 781, 66,
"a tame group generated by commutators of wild permutations",
"X87383623856ED81B" ],
[ "\033[1XChecking for solvability\033[0X", "5.9", [ 5, 9, 0 ], 906, 69,
"checking for solvability", "X78DFE4B4821E07A6" ],
[ "\033[1XSome examples over (semi)localizations of the integers\033[0X",
"5.10", [ 5, 10, 0 ], 958, 70,
"some examples over semi localizations of the integers",
"X783D54DC7A646273" ],
[ "\033[1XTwisting 257-cycles into an rcwa mapping with modulus 32\033[0X",
"5.11", [ 5, 11, 0 ], 1112, 73,
"twisting 257-cycles into an rcwa mapping with modulus 32",
"X846D7D087861E0AC" ],
[ "\033[1XThe behaviour of the moduli of powers\033[0X", "5.12",
[ 5, 12, 0 ], 1168, 74, "the behaviour of the moduli of powers",
"X78D5DC93845CA6A0" ],
[ "\033[1XImages and preimages under the Collatz mapping\033[0X", "5.13",
[ 5, 13, 0 ], 1254, 75, "images and preimages under the collatz mapping"
, "X855A3CD88459958B" ],
[ "\033[1XA group which acts 4-transitively on the positive integers\033[0X"
, "5.14", [ 5, 14, 0 ], 1363, 77,
"a group which acts 4-transitively on the positive integers",
"X7968C1DF7EF0BD8E" ],
[ "\033[1XA group which acts 3-transitively, but not 4-transitively on Z\033\
[0X", "5.15", [ 5, 15, 0 ], 1822, 86,
"a group which acts 3-transitively but not 4-transitively on z",
"X87E7FCE27EACDA38" ],
[ "\033[1XGrigorchuk groups\033[0X", "5.16", [ 5, 16, 0 ], 2027, 89,
"grigorchuk groups", "X85DD5E9C7878CAE3" ],
[ "\033[1XForward orbits of a monoid with 2 generators\033[0X", "5.17",
[ 5, 17, 0 ], 2109, 91, "forward orbits of a monoid with 2 generators",
"X7DD9502F80364631" ],
[ "\033[1XRepresentations of the free group of rank 2\033[0X", "5.18",
[ 5, 18, 0 ], 2191, 92, "representations of the free group of rank 2",
"X81407BD58648D206" ],
[ "\033[1XRepresentations of the modular group PSL(2,Z)\033[0X", "5.19",
[ 5, 19, 0 ], 2283, 93, "representations of the modular group psl 2 z",
"X85B4B4DA83B09E81" ],
[ "\033[1XThe Algorithms Implemented in RCWA\033[0X", "6.", [ 6, 0, 0 ], 1,
95, "the algorithms implemented in rcwa", "X79EA0B717B045756" ],
[ "\033[1XInstallation and auxiliary functions\033[0X", "7.", [ 7, 0, 0 ],
1, 106, "installation and auxiliary functions", "X859F6BF88754E5CC" ],
[ "\033[1XRequirements\033[0X", "7.1", [ 7, 1, 0 ], 4, 106, "requirements",
"X85A08CF187A6D986" ],
[ "\033[1XInstallation\033[0X", "7.2", [ 7, 2, 0 ], 16, 106,
"installation", "X8360C04082558A12" ],
[ "\033[1XThe Info class of the package\033[0X", "7.3", [ 7, 3, 0 ], 24,
106, "the info class of the package", "X7A31FA44791E93C5" ],
[ "\033[1XThe testing routine\033[0X", "7.4", [ 7, 4, 0 ], 35, 106,
"the testing routine", "X8667D5027AC3DE8E" ],
[ "\033[1XBuilding the manual\033[0X", "7.5", [ 7, 5, 0 ], 47, 107,
"building the manual", "X854E65D281B80D3B" ],
[ "\033[1XLoading and saving bitmap pictures\033[0X", "7.6", [ 7, 6, 0 ],
63, 107, "loading and saving bitmap pictures", "X7C7AB20486E56B83" ],
[ "\033[1XRunning demonstrations\033[0X", "7.7", [ 7, 7, 0 ], 97, 107,
"running demonstrations", "X85E215DB85F610ED" ],
[ "\033[1XSome general utility functions\033[0X", "7.8", [ 7, 8, 0 ], 115,
108, "some general utility functions", "X808A30E37A293D19" ],
[ "Bibliography", "bib.", [ "Bib", 0, 0 ], 1, 109, "bibliography",
"X7A6F98FD85F02BFE" ],
[ "References", "bib.", [ "Bib", 0, 0 ], 1, 109, "references",
"X7A6F98FD85F02BFE" ],
[ "Index", "ind.", [ "Ind", 0, 0 ], 1, 111, "index", "X83A0356F839C696F" ],
[ "Collatz conjecture", "1.1", [ 1, 1, 0 ], 4, 6, "collatz conjecture",
"X7BB9BDB5785B8A9A" ],
[ "Collatz mapping", "1.1", [ 1, 1, 0 ], 4, 6, "collatz mapping",
"X7BB9BDB5785B8A9A" ],
[ "rcwa mapping definition", "2.1", [ 2, 1, 0 ], 12, 8,
"rcwa mapping definition", "X7F0B50947EEA87F8" ],
[ "rcwa group definition", "2.1", [ 2, 1, 0 ], 12, 8,
"rcwa group definition", "X7F0B50947EEA87F8" ],
[ "modulus definition", "2.1", [ 2, 1, 0 ], 12, 8, "modulus definition",
"X7F0B50947EEA87F8" ],
[ "rcwa mapping modulus", "2.1", [ 2, 1, 0 ], 12, 8, "rcwa mapping modulus",
"X7F0B50947EEA87F8" ],
[ "multiplier definition", "2.1", [ 2, 1, 0 ], 12, 8,
"multiplier definition", "X7F0B50947EEA87F8" ],
[ "rcwa mapping multiplier", "2.1", [ 2, 1, 0 ], 12, 8,
"rcwa mapping multiplier", "X7F0B50947EEA87F8" ],
[ "divisor definition", "2.1", [ 2, 1, 0 ], 12, 8, "divisor definition",
"X7F0B50947EEA87F8" ],
[ "rcwa mapping divisor", "2.1", [ 2, 1, 0 ], 12, 8, "rcwa mapping divisor",
"X7F0B50947EEA87F8" ],
[ "tame rcwa mapping", "2.1", [ 2, 1, 0 ], 12, 8, "tame rcwa mapping",
"X7F0B50947EEA87F8" ],
[ "tame rcwa group", "2.1", [ 2, 1, 0 ], 12, 8, "tame rcwa group",
"X7F0B50947EEA87F8" ],
[ "wild rcwa mapping", "2.1", [ 2, 1, 0 ], 12, 8, "wild rcwa mapping",
"X7F0B50947EEA87F8" ],
[ "wild rcwa group", "2.1", [ 2, 1, 0 ], 12, 8, "wild rcwa group",
"X7F0B50947EEA87F8" ],
[ "rcwa mapping tame", "2.1", [ 2, 1, 0 ], 12, 8, "rcwa mapping tame",
"X7F0B50947EEA87F8" ],
[ "rcwa group tame", "2.1", [ 2, 1, 0 ], 12, 8, "rcwa group tame",
"X7F0B50947EEA87F8" ],
[ "rcwa mapping wild", "2.1", [ 2, 1, 0 ], 12, 8, "rcwa mapping wild",
"X7F0B50947EEA87F8" ],
[ "rcwa group wild", "2.1", [ 2, 1, 0 ], 12, 8, "rcwa group wild",
"X7F0B50947EEA87F8" ],
[ "\033[2XClassShift\033[0X (r, m)", "2.2-1", [ 2, 2, 1 ], 114, 10,
"classshift r m", "X86B611BD7EED62A1" ],
[ "\033[2XClassShift\033[0X (cl)", "2.2-1", [ 2, 2, 1 ], 114, 10,
"classshift cl", "X86B611BD7EED62A1" ],
[ "\033[2XClassReflection\033[0X (r, m)", "2.2-2", [ 2, 2, 2 ], 140, 10,
"classreflection r m", "X7896C5417E3692B4" ],
[ "\033[2XClassReflection\033[0X (cl)", "2.2-2", [ 2, 2, 2 ], 140, 10,
"classreflection cl", "X7896C5417E3692B4" ],
[ "\033[2XClassTransposition\033[0X (r1, m1, r2, m2)", "2.2-3",
[ 2, 2, 3 ], 167, 11, "classtransposition r1 m1 r2 m2",
"X8716A75F7DD1C46B" ],
[ "\033[2XClassTransposition\033[0X (cl1, cl2)", "2.2-3", [ 2, 2, 3 ], 167,
11, "classtransposition cl1 cl2", "X8716A75F7DD1C46B" ],
[ "\033[10XTransposedClasses\033[0X of a class transposition", "2.2-3",
[ 2, 2, 3 ], 167, 11, "transposedclasses of a class transposition",
"X8716A75F7DD1C46B" ],
[ "\033[10XSplittedClassTransposition\033[0X for a class transposition and a\
number of factors", "2.2-3", [ 2, 2, 3 ], 167, 11,
"splittedclasstransposition for a class transposition and a number of fa\
ctors", "X8716A75F7DD1C46B" ],
[ "\033[2XClassRotation\033[0X (r, m, u)", "2.2-4", [ 2, 2, 4 ], 225, 12,
"classrotation r m u", "X87EB8C1C87F78A17" ],
[ "\033[2XClassRotation\033[0X (cl, u)", "2.2-4", [ 2, 2, 4 ], 225, 12,
"classrotation cl u", "X87EB8C1C87F78A17" ],
[ "\033[10XRotationFactor\033[0X of a class rotation", "2.2-4",
[ 2, 2, 4 ], 225, 12, "rotationfactor of a class rotation",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsClassShift\033[0X for an rcwa mapping", "2.2-4", [ 2, 2, 4 ],
225, 12, "isclassshift for an rcwa mapping", "X87EB8C1C87F78A17" ],
[ "\033[10XIsClassReflection\033[0X for an rcwa mapping", "2.2-4",
[ 2, 2, 4 ], 225, 12, "isclassreflection for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsClassRotation\033[0X for an rcwa mapping", "2.2-4",
[ 2, 2, 4 ], 225, 12, "isclassrotation for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsClassTransposition\033[0X for an rcwa mapping", "2.2-4",
[ 2, 2, 4 ], 225, 12, "isclasstransposition for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[10XIsGeneralizedClassTransposition\033[0X for an rcwa mapping",
"2.2-4", [ 2, 2, 4 ], 225, 12,
"isgeneralizedclasstransposition for an rcwa mapping",
"X87EB8C1C87F78A17" ],
[ "\033[10XName\033[0X for cs / cr / ct", "2.2-4", [ 2, 2, 4 ], 225, 12,
"name for cs cr ct", "X87EB8C1C87F78A17" ],
[ "\033[2XRcwaMapping\033[0X (by ring, modulus and list of coefficients)",
"2.2-5", [ 2, 2, 5 ], 281, 13,
"rcwamapping by ring modulus and list of coefficients",
"X7D87A85584BA7E48" ],
[ "\033[2XRcwaMapping\033[0X (by ring and list of coefficients)", "2.2-5",
[ 2, 2, 5 ], 281, 13, "rcwamapping by ring and list of coefficients",
"X7D87A85584BA7E48" ],
[ "\033[2XRcwaMapping\033[0X (by list of coefficients)", "2.2-5",
[ 2, 2, 5 ], 281, 13, "rcwamapping by list of coefficients",
"X7D87A85584BA7E48" ],
[ "\033[2XRcwaMapping\033[0X (by permutation and range)", "2.2-5",
[ 2, 2, 5 ], 281, 13, "rcwamapping by permutation and range",
"X7D87A85584BA7E48" ],
[ "\033[2XRcwaMapping\033[0X (by modulus and list of values)", "2.2-5",
[ 2, 2, 5 ], 281, 13, "rcwamapping by modulus and list of values",
"X7D87A85584BA7E48" ],
[ "\033[2XRcwaMapping\033[0X (by set of noninvertible primes and list of coe\
fficients)", "2.2-5", [ 2, 2, 5 ], 281, 13,
"rcwamapping by set of noninvertible primes and list of coefficients",
"X7D87A85584BA7E48" ],
[ "\033[2XRcwaMapping\033[0X (by finite field size, modulus and list of coef\
ficients)", "2.2-5", [ 2, 2, 5 ], 281, 13,
"rcwamapping by finite field size modulus and list of coefficients",
"X7D87A85584BA7E48" ],
[ "\033[2XRcwaMapping\033[0X (by two partitions of a ring into residue class\
es)", "2.2-5", [ 2, 2, 5 ], 281, 13,
"rcwamapping by two partitions of a ring into residue classes",
"X7D87A85584BA7E48" ],
[ "\033[2XRcwaMapping\033[0X (by residue class cycles)", "2.2-5",
[ 2, 2, 5 ], 281, 13, "rcwamapping by residue class cycles",
"X7D87A85584BA7E48" ],
[ "\033[2XLocalizedRcwaMapping\033[0X (for an rcwa mapping of Z and a prime)\
", "2.2-6", [ 2, 2, 6 ], 378, 14,
"localizedrcwamapping for an rcwa mapping of z and a prime",
"X7F1A559387D0226E" ],
[ "\033[2XSemilocalizedRcwaMapping\033[0X (for an rcwa mapping of Z and a se\
t of primes)", "2.2-6", [ 2, 2, 6 ], 378, 14,
"semilocalizedrcwamapping for an rcwa mapping of z and a set of primes",
"X7F1A559387D0226E" ],
[ "\033[10XView\033[0X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 378, 14,
"view for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XDisplay\033[0X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 378,
14, "display for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XPrint\033[0X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 378,
14, "print for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XString\033[0X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 378,
14, "string for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XLaTeX\033[0X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 378,
14, "latex for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XLaTeXObj\033[0X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ], 378,
14, "latexobj for an rcwa mapping", "X7F1A559387D0226E" ],
[ "\033[10XLaTeXAndXDVI\033[0X for an rcwa mapping", "2.2-6", [ 2, 2, 6 ],
378, 14, "latexandxdvi for an rcwa mapping", "X7F1A559387D0226E" ],
[ "rcwa mapping arithmetic operations", "2.3", [ 2, 3, 0 ], 433, 15,
"rcwa mapping arithmetic operations", "X8708DD3D8359DB19" ],
[ "\033[10XOrder\033[0X of an rcwa permutation", "2.3", [ 2, 3, 0 ], 433,
15, "order of an rcwa permutation", "X8708DD3D8359DB19" ],
[ "\033[10XIsTame\033[0X for an rcwa mapping", "2.3", [ 2, 3, 0 ], 433, 15,
"istame for an rcwa mapping", "X8708DD3D8359DB19" ],
[ "\033[10XIsInjective\033[0X for an rcwa mapping", "2.3", [ 2, 3, 0 ],
433, 15, "isinjective for an rcwa mapping", "X8708DD3D8359DB19" ],
[ "\033[10XIsSurjective\033[0X for an rcwa mapping", "2.3", [ 2, 3, 0 ],
433, 15, "issurjective for an rcwa mapping", "X8708DD3D8359DB19" ],
[ "\033[10XIsBijective\033[0X for an rcwa mapping", "2.3", [ 2, 3, 0 ],
433, 15, "isbijective for an rcwa mapping", "X8708DD3D8359DB19" ],
[ "\033[10XImage\033[0X of an rcwa mapping", "2.3", [ 2, 3, 0 ], 433, 15,
"image of an rcwa mapping", "X8708DD3D8359DB19" ],
[ "rcwa mapping images under", "2.3", [ 2, 3, 0 ], 433, 15,
"rcwa mapping images under", "X8708DD3D8359DB19" ],
[ "\033[10XPreImageElm\033[0X of a ring element under an rcwa mapping",
"2.3", [ 2, 3, 0 ], 433, 15,
"preimageelm of a ring element under an rcwa mapping",
"X8708DD3D8359DB19" ],
[ "\033[10XPreImagesElm\033[0X of a ring element under an rcwa mapping",
"2.3", [ 2, 3, 0 ], 433, 15,
"preimageselm of a ring element under an rcwa mapping",
"X8708DD3D8359DB19" ],
[ "\033[10XPreImage\033[0X of a set of ring elements under an rcwa mapping",
"2.3", [ 2, 3, 0 ], 433, 15,
"preimage of a set of ring elements under an rcwa mapping",
"X8708DD3D8359DB19" ],
[ "\033[10XPreImage\033[0X of a residue class union under an rcwa mapping",
"2.3", [ 2, 3, 0 ], 433, 15,
"preimage of a residue class union under an rcwa mapping",
"X8708DD3D8359DB19" ],
[ "\033[10XSupport\033[0X of an rcwa mapping", "2.3", [ 2, 3, 0 ], 433, 15,
"support of an rcwa mapping", "X8708DD3D8359DB19" ],
[ "\033[10XMovedPoints\033[0X of an rcwa mapping", "2.3", [ 2, 3, 0 ], 433,
15, "movedpoints of an rcwa mapping", "X8708DD3D8359DB19" ],
[ "\033[10XRestrictedPerm\033[0X for an rcwa permutation and a residue class\
union", "2.3", [ 2, 3, 0 ], 433, 15,
"restrictedperm for an rcwa permutation and a residue class union",
"X8708DD3D8359DB19" ],
[ "\033[10XModulus\033[0X of an rcwa mapping", "2.3", [ 2, 3, 0 ], 433, 15,
"modulus of an rcwa mapping", "X8708DD3D8359DB19" ],
[ "\033[10XMod\033[0X for an rcwa mapping", "2.3", [ 2, 3, 0 ], 433, 15,
"mod for an rcwa mapping", "X8708DD3D8359DB19" ],
[ "\033[10XCoefficients\033[0X of an rcwa mapping", "2.3", [ 2, 3, 0 ],
433, 15, "coefficients of an rcwa mapping", "X8708DD3D8359DB19" ],
[ "rcwa mapping coercion", "2.3", [ 2, 3, 0 ], 433, 15,
"rcwa mapping coercion", "X8708DD3D8359DB19" ],
[ "rcwa group coercion", "2.3", [ 2, 3, 0 ], 433, 15, "rcwa group coercion",
"X8708DD3D8359DB19" ],
[ "\033[10XMultiplier\033[0X of an rcwa mapping", "2.4", [ 2, 4, 0 ], 553,
17, "multiplier of an rcwa mapping", "X861C5DE6812425F1" ],
[ "\033[10XMult\033[0X for an rcwa mapping", "2.4", [ 2, 4, 0 ], 553, 17,
"mult for an rcwa mapping", "X861C5DE6812425F1" ],
[ "\033[10XDivisor\033[0X of an rcwa mapping", "2.4", [ 2, 4, 0 ], 553, 17,
"divisor of an rcwa mapping", "X861C5DE6812425F1" ],
[ "\033[10XDiv\033[0X for an rcwa mapping", "2.4", [ 2, 4, 0 ], 553, 17,
"div for an rcwa mapping", "X861C5DE6812425F1" ],
[ "\033[10XPrimeSet\033[0X of an rcwa mapping", "2.4", [ 2, 4, 0 ], 553,
17, "primeset of an rcwa mapping", "X861C5DE6812425F1" ],
[ "rcwa mapping prime set", "2.4", [ 2, 4, 0 ], 553, 17,
"rcwa mapping prime set", "X861C5DE6812425F1" ],
[ "integral definition", "2.4", [ 2, 4, 0 ], 553, 17, "integral definition",
"X861C5DE6812425F1" ],
[ "rcwa mapping integral", "2.4", [ 2, 4, 0 ], 553, 17,
"rcwa mapping integral", "X861C5DE6812425F1" ],
[ "\033[10XIsIntegral\033[0X for an rcwa mapping", "2.4", [ 2, 4, 0 ], 553,
17, "isintegral for an rcwa mapping", "X861C5DE6812425F1" ],
[ "\033[10Xbalanced\033[0X definition", "2.4", [ 2, 4, 0 ], 553, 17,
"balanced definition", "X861C5DE6812425F1" ],
[ "rcwa mapping balanced", "2.4", [ 2, 4, 0 ], 553, 17,
"rcwa mapping balanced", "X861C5DE6812425F1" ],
[ "\033[10XIsBalanced\033[0X for an rcwa mapping", "2.4", [ 2, 4, 0 ], 553,
17, "isbalanced for an rcwa mapping", "X861C5DE6812425F1" ],
[ "rcwa mapping class-wise order-preserving", "2.4", [ 2, 4, 0 ], 553, 17,
"rcwa mapping class-wise order-preserving", "X861C5DE6812425F1" ],
[ "\033[10XIsClassWiseOrderPreserving\033[0X for an rcwa mapping", "2.4",
[ 2, 4, 0 ], 553, 17, "isclasswiseorderpreserving for an rcwa mapping",
"X861C5DE6812425F1" ],
[ "\033[10XIsSignPreserving\033[0X for an rcwa mapping", "2.4",
[ 2, 4, 0 ], 553, 17, "issignpreserving for an rcwa mapping",
"X861C5DE6812425F1" ],
[ "\033[2XLargestSourcesOfAffineMappings\033[0X (for an rcwa mapping)",
"2.4-1", [ 2, 4, 1 ], 606, 18,
"largestsourcesofaffinemappings for an rcwa mapping",
"X7C21406085B69C30" ],
[ "\033[2XFixedPointsOfAffinePartialMappings\033[0X (for an rcwa mapping)",
"2.4-2", [ 2, 4, 2 ], 629, 18,
"fixedpointsofaffinepartialmappings for an rcwa mapping",
"X7D6D0F2783AD02F4" ],
[ "\033[2XMultpk\033[0X (for an rcwa mapping, a prime and an exponent)",
"2.4-3", [ 2, 4, 3 ], 650, 19,
"multpk for an rcwa mapping a prime and an exponent",
"X7A2E308C860B46E3" ],
[ "\033[10XClassWiseOrderPreservingOn\033[0X", "2.4-3", [ 2, 4, 3 ], 650,
19, "classwiseorderpreservingon", "X7A2E308C860B46E3" ],
[ "\033[10XClassWiseConstantOn\033[0X", "2.4-3", [ 2, 4, 3 ], 650, 19,
"classwiseconstanton", "X7A2E308C860B46E3" ],
[ "\033[10XClassWiseOrderReversingOn\033[0X", "2.4-3", [ 2, 4, 3 ], 650,
19, "classwiseorderreversingon", "X7A2E308C860B46E3" ],
[ "\033[2XDeterminant\033[0X (of an rcwa mapping of Z)", "2.4-4",
[ 2, 4, 4 ], 688, 19, "determinant of an rcwa mapping of z",
"X7B1E53127D9AE52F" ],
[ "\033[2XSign\033[0X (of an rcwa permutation of Z)", "2.4-5", [ 2, 4, 5 ],
721, 20, "sign of an rcwa permutation of z", "X8365EEEB82C946FD" ],
[ "\033[2XFactorizationIntoCSCRCT\033[0X (for an rcwa permutation of Z)",
"2.5-1", [ 2, 5, 1 ], 760, 20,
"factorizationintocscrct for an rcwa permutation of z",
"X853885A182EC5104" ],
[ "\033[2XFactorization\033[0X (for an rcwa permutation of Z)", "2.5-1",
[ 2, 5, 1 ], 760, 20, "factorization for an rcwa permutation of z",
"X853885A182EC5104" ],
[ "\033[2XPrimeSwitch\033[0X (p)", "2.5-2", [ 2, 5, 2 ], 811, 21,
"primeswitch p", "X861C74E97AE5DA3B" ],
[ "\033[2XPrimeSwitch\033[0X (p, k)", "2.5-2", [ 2, 5, 2 ], 811, 21,
"primeswitch p k", "X861C74E97AE5DA3B" ],
[ "\033[10XIsPrimeSwitch\033[0X for an rcwa mapping", "2.5-2", [ 2, 5, 2 ],
811, 21, "isprimeswitch for an rcwa mapping", "X861C74E97AE5DA3B" ],
[ "\033[2XmKnot\033[0X (for an odd integer)", "2.5-3", [ 2, 5, 3 ], 853,
22, "mknot for an odd integer", "X789CB69C7D97B0C4" ],
[ "\033[2XRoot\033[0X (k-th root of an rcwa mapping)", "2.6-1",
[ 2, 6, 1 ], 883, 22, "root k-th root of an rcwa mapping",
"X873692CE78433859" ],
[ "\033[2XRightInverse\033[0X (of an injective rcwa mapping)", "2.7-1",
[ 2, 7, 1 ], 915, 23, "rightinverse of an injective rcwa mapping",
"X7AEFF16E86533633" ],
[ "\033[2XCommonRightInverse\033[0X (of two injective rcwa mappings)",
"2.7-2", [ 2, 7, 2 ], 930, 23,
"commonrightinverse of two injective rcwa mappings",
"X87C5B9CA7E319233" ],
[ "\033[2XImageDensity\033[0X (of an rcwa mapping)", "2.7-3", [ 2, 7, 3 ],
955, 23, "imagedensity of an rcwa mapping", "X808D9EDF7BA27467" ],
[ "\033[10XInjectiveAsMappingFrom\033[0X for an rcwa mapping", "2.7-3",
[ 2, 7, 3 ], 955, 23, "injectiveasmappingfrom for an rcwa mapping",
"X808D9EDF7BA27467" ],
[ "\033[2XTrajectory\033[0X (for rcwa mapping, starting point, length)",
"2.8-1", [ 2, 8, 1 ], 991, 24,
"trajectory for rcwa mapping starting point length",
"X86A0CE12874555D2" ],
[ "\033[2XTrajectory\033[0X (for rcwa mapping, starting point, length, modul\
us)", "2.8-1", [ 2, 8, 1 ], 991, 24,
"trajectory for rcwa mapping starting point length modulus",
"X86A0CE12874555D2" ],
[ "\033[2XTrajectory\033[0X (for rcwa mapping, starting point, set of end po\
ints)", "2.8-1", [ 2, 8, 1 ], 991, 24,
"trajectory for rcwa mapping starting point set of end points",
"X86A0CE12874555D2" ],
[ "\033[2XTrajectory\033[0X (for rcwa mapping, starting point, set of end po\
ints, modulus)", "2.8-1", [ 2, 8, 1 ], 991, 24,
"trajectory for rcwa mapping starting point set of end points modulus",
"X86A0CE12874555D2" ],
[ "\033[2XTrajectory\033[0X (for rcwa mapping, starting point, length, coeff\
.-spec.)", "2.8-2", [ 2, 8, 2 ], 1025, 24,
"trajectory for rcwa mapping starting point length coeff.-spec.",
"X7FAD88A780462D5F" ],
[ "\033[2XTrajectory\033[0X (for rcwa mapping, starting point, set of end po\
ints, coeff.-spec.)", "2.8-2", [ 2, 8, 2 ], 1025, 24,
"trajectory for rcwa mapping starting point set of end points coeff.-spe\
c.", "X7FAD88A780462D5F" ],
[ "\033[2XIncreasingOn\033[0X (for an rcwa mapping)", "2.8-3", [ 2, 8, 3 ],
1054, 25, "increasingon for an rcwa mapping", "X871989927C55AAE4" ],
[ "\033[2XDecreasingOn\033[0X (for an rcwa mapping)", "2.8-3", [ 2, 8, 3 ],
1054, 25, "decreasingon for an rcwa mapping", "X871989927C55AAE4" ],
[ "\033[2XTransitionGraph\033[0X (for an rcwa mapping and a modulus)",
"2.8-4", [ 2, 8, 4 ], 1079, 25,
"transitiongraph for an rcwa mapping and a modulus",
"X780841E07CAE7543" ],
[ "rcwa mapping transition graph", "2.8-4", [ 2, 8, 4 ], 1079, 25,
"rcwa mapping transition graph", "X780841E07CAE7543" ],
[ "\033[2XOrbitsModulo\033[0X (for an rcwa mapping and a modulus)",
"2.8-5", [ 2, 8, 5 ], 1098, 26,
"orbitsmodulo for an rcwa mapping and a modulus", "X7F03CC4179424AA9" ],
[ "\033[2XFactorizationOnConnectedComponents\033[0X (for an rcwa mapping and\
a modulus)", "2.8-6", [ 2, 8, 6 ], 1112, 26,
"factorizationonconnectedcomponents for an rcwa mapping and a modulus",
"X7F11051E866C197F" ],
[ "\033[2XTransitionMatrix\033[0X (for an rcwa mapping and a modulus)",
"2.8-7", [ 2, 8, 7 ], 1131, 26,
"transitionmatrix for an rcwa mapping and a modulus",
"X7B6833D67D916EF9" ],
[ "\033[2XSources\033[0X (of an rcwa mapping)", "2.8-8", [ 2, 8, 8 ], 1158,
27, "sources of an rcwa mapping", "X81BCC3E387943E86" ],
[ "\033[2XSinks\033[0X (of an rcwa mapping)", "2.8-8", [ 2, 8, 8 ], 1158,
27, "sinks of an rcwa mapping", "X81BCC3E387943E86" ],
[ "\033[2XLoops\033[0X (of an rcwa mapping)", "2.8-9", [ 2, 8, 9 ], 1181,
27, "loops of an rcwa mapping", "X80221A4D81AF7453" ],
[ "\033[2XGluckTaylorInvariant\033[0X (of a trajectory)", "2.8-10",
[ 2, 8, 10 ], 1198, 27, "glucktaylorinvariant of a trajectory",
"X8773152E81A30123" ],
[ "\033[2XLikelyContractionCentre\033[0X (of an rcwa mapping)", "2.8-11",
[ 2, 8, 11 ], 1230, 28, "likelycontractioncentre of an rcwa mapping",
"X84F6A29280E2F925" ],
[ "\033[2XGuessedDivergence\033[0X (of an rcwa mapping)", "2.8-12",
[ 2, 8, 12 ], 1258, 28, "guesseddivergence of an rcwa mapping",
"X81E0D8E3817B3D16" ],
[ "\033[2XIsRcwaMapping\033[0X", "2.9-1", [ 2, 9, 1 ], 1278, 29,
"isrcwamapping", "X7927C13782729CE9" ],
[ "\033[2XIsRcwaMappingOfZ\033[0X", "2.9-1", [ 2, 9, 1 ], 1278, 29,
"isrcwamappingofz", "X7927C13782729CE9" ],
[ "\033[2XIsRcwaMappingOfZ_pi\033[0X", "2.9-1", [ 2, 9, 1 ], 1278, 29,
"isrcwamappingofz_pi", "X7927C13782729CE9" ],
[ "\033[2XIsRcwaMappingOfGFqx\033[0X", "2.9-1", [ 2, 9, 1 ], 1278, 29,
"isrcwamappingofgfqx", "X7927C13782729CE9" ],
[ "\033[10XIsRcwaMappingOfZOrZ_pi\033[0X", "2.9-1", [ 2, 9, 1 ], 1278, 29,
"isrcwamappingofzorz_pi", "X7927C13782729CE9" ],
[ "\033[10XIsRcwaMappingStandardRep\033[0X", "2.9-1", [ 2, 9, 1 ], 1278,
29, "isrcwamappingstandardrep", "X7927C13782729CE9" ],
[ "\033[10XExtRepOfObj\033[0X", "2.9-1", [ 2, 9, 1 ], 1278, 29,
"extrepofobj", "X7927C13782729CE9" ],
[ "\033[10XObjByExtRep\033[0X", "2.9-1", [ 2, 9, 1 ], 1278, 29,
"objbyextrep", "X7927C13782729CE9" ],
[ "\033[2XRcwaMappingsFamily\033[0X (of a ring)", "2.9-2", [ 2, 9, 2 ],
1296, 29, "rcwamappingsfamily of a ring", "X825DD365822934AF" ],
[ "\033[10XGroup\033[0X", "3.1", [ 3, 1, 0 ], 7, 30, "group",
"X7D7B075385435151" ],
[ "\033[10XGroupByGenerators\033[0X", "3.1", [ 3, 1, 0 ], 7, 30,
"groupbygenerators", "X7D7B075385435151" ],
[ "\033[10XGroupWithGenerators\033[0X", "3.1", [ 3, 1, 0 ], 7, 30,
"groupwithgenerators", "X7D7B075385435151" ],
[ "\033[10XView\033[0X for an rcwa group", "3.1", [ 3, 1, 0 ], 7, 30,
"view for an rcwa group", "X7D7B075385435151" ],
[ "\033[10XDisplay\033[0X for an rcwa group", "3.1", [ 3, 1, 0 ], 7, 30,
"display for an rcwa group", "X7D7B075385435151" ],
[ "\033[10XPrint\033[0X for an rcwa group", "3.1", [ 3, 1, 0 ], 7, 30,
"print for an rcwa group", "X7D7B075385435151" ],
[ "\033[10XString\033[0X for an rcwa group", "3.1", [ 3, 1, 0 ], 7, 30,
"string for an rcwa group", "X7D7B075385435151" ],
[ "\033[2XRCWA\033[0X (the group of all rcwa permutations of a ring)",
"3.1-1", [ 3, 1, 1 ], 30, 30,
"rcwa the group of all rcwa permutations of a ring",
"X7C0DCF887D324CF9" ],
[ "\033[2XCT\033[0X (the group generated by all class transpositions of a ri\
ng)", "3.1-2", [ 3, 1, 2 ], 51, 31,
"ct the group generated by all class transpositions of a ring",
"X7BD42D8481300E25" ],
[ "\033[2XIsomorphismRcwaGroup\033[0X (for a group, over a given ring)",
"3.1-3", [ 3, 1, 3 ], 71, 31,
"isomorphismrcwagroup for a group over a given ring",
"X7EB8A301790290C7" ],
[ "\033[2XIsomorphismRcwaGroup\033[0X (for a group)", "3.1-3", [ 3, 1, 3 ],
71, 31, "isomorphismrcwagroup for a group", "X7EB8A301790290C7" ],
[ "\033[2XDirectProduct\033[0X (for rcwa groups over Z)", "3.1-4",
[ 3, 1, 4 ], 111, 32, "directproduct for rcwa groups over z",
"X79CAE48981C11FE8" ],
[ "\033[2XWreathProduct\033[0X (for an rcwa group over Z and a permutation g\
roup)", "3.1-5", [ 3, 1, 5 ], 132, 32,
"wreathproduct for an rcwa group over z and a permutation group",
"X7B53710883C8043C" ],
[ "\033[2XWreathProduct\033[0X (for an rcwa group over Z and the infinite cy\
clic group)", "3.1-5", [ 3, 1, 5 ], 132, 32,
"wreathproduct for an rcwa group over z and the infinite cyclic group",
"X7B53710883C8043C" ],
[ "\033[2XRestriction\033[0X (of an rcwa mapping, by an injective rcwa mappi\
ng)", "3.1-6", [ 3, 1, 6 ], 179, 33,
"restriction of an rcwa mapping by an injective rcwa mapping",
"X7FAC058484C608D3" ],
[ "\033[2XRestriction\033[0X (of an rcwa group, by an injective rcwa mapping\
)", "3.1-6", [ 3, 1, 6 ], 179, 33,
"restriction of an rcwa group by an injective rcwa mapping",
"X7FAC058484C608D3" ],
[ "\033[2XInduction\033[0X (of an rcwa mapping, by an injective rcwa mapping\
)", "3.1-7", [ 3, 1, 7 ], 207, 33,
"induction of an rcwa mapping by an injective rcwa mapping",
"X8709A96C8640E4C2" ],
[ "\033[2XInduction\033[0X (of an rcwa group, by an injective rcwa mapping)"
, "3.1-7", [ 3, 1, 7 ], 207, 33,
"induction of an rcwa group by an injective rcwa mapping",
"X8709A96C8640E4C2" ],
[ "rcwa group modulus", "3.1-7", [ 3, 1, 7 ], 207, 33, "rcwa group modulus",
"X8709A96C8640E4C2" ],
[ "rcwa group multiplier", "3.1-7", [ 3, 1, 7 ], 207, 33,
"rcwa group multiplier", "X8709A96C8640E4C2" ],
[ "rcwa group divisor", "3.1-7", [ 3, 1, 7 ], 207, 33, "rcwa group divisor",
"X8709A96C8640E4C2" ],
[ "rcwa group prime set", "3.1-7", [ 3, 1, 7 ], 207, 33,
"rcwa group prime set", "X8709A96C8640E4C2" ],
[ "rcwa group integral", "3.1-7", [ 3, 1, 7 ], 207, 33,
"rcwa group integral", "X8709A96C8640E4C2" ],
[ "rcwa group class-wise order-preserving", "3.1-7", [ 3, 1, 7 ], 207, 33,
"rcwa group class-wise order-preserving", "X8709A96C8640E4C2" ],
[ "\033[10XModulus\033[0X of an rcwa group", "3.1-7", [ 3, 1, 7 ], 207, 33,
"modulus of an rcwa group", "X8709A96C8640E4C2" ],
[ "\033[10XMod\033[0X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 207, 33,
"mod for an rcwa group", "X8709A96C8640E4C2" ],
[ "\033[10XModulusOfRcwaMonoid\033[0X for an rcwa group", "3.1-7",
[ 3, 1, 7 ], 207, 33, "modulusofrcwamonoid for an rcwa group",
"X8709A96C8640E4C2" ],
[ "\033[10XMultiplier\033[0X of an rcwa group", "3.1-7", [ 3, 1, 7 ], 207,
33, "multiplier of an rcwa group", "X8709A96C8640E4C2" ],
[ "\033[10XMult\033[0X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 207, 33,
"mult for an rcwa group", "X8709A96C8640E4C2" ],
[ "\033[10XDivisor\033[0X of an rcwa group", "3.1-7", [ 3, 1, 7 ], 207, 33,
"divisor of an rcwa group", "X8709A96C8640E4C2" ],
[ "\033[10XDiv\033[0X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 207, 33,
"div for an rcwa group", "X8709A96C8640E4C2" ],
[ "\033[10XPrimeSet\033[0X of an rcwa group", "3.1-7", [ 3, 1, 7 ], 207,
33, "primeset of an rcwa group", "X8709A96C8640E4C2" ],
[ "\033[10XIsIntegral\033[0X for an rcwa group", "3.1-7", [ 3, 1, 7 ], 207,
33, "isintegral for an rcwa group", "X8709A96C8640E4C2" ],
[ "\033[10XIsClassWiseOrderPreserving\033[0X for an rcwa group", "3.1-7",
[ 3, 1, 7 ], 207, 33, "isclasswiseorderpreserving for an rcwa group",
"X8709A96C8640E4C2" ],
[ "\033[10XIsSignPreserving\033[0X for an rcwa group", "3.1-7",
[ 3, 1, 7 ], 207, 33, "issignpreserving for an rcwa group",
"X8709A96C8640E4C2" ],
[ "\033[2XStructureDescription\033[0X (for an rcwa group)", "3.2-1",
[ 3, 2, 1 ], 262, 34, "structuredescription for an rcwa group",
"X864A7E3E87F366A8" ],
[ "\033[10XSize\033[0X for an rcwa group", "3.2-1", [ 3, 2, 1 ], 262, 34,
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[ "\033[10XIsomorphismPermGroup\033[0X for a finite rcwa group", "3.2-1",
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[ "rcwa group membership test", "3.2-1", [ 3, 2, 1 ], 262, 34,
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[ "rcwa group conjugacy problem", "3.2-1", [ 3, 2, 1 ], 262, 34,
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[ "\033[10XIsConjugate\033[0X for elements of RCWA(R)", "3.2-1",
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[ "\033[10XIsConjugate\033[0X for elements of CT(R)", "3.2-1", [ 3, 2, 1 ],
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[ "\033[10XNrConjugacyClassesOfRCWAZOfOrder\033[0X", "3.2-1", [ 3, 2, 1 ],
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[ "\033[10XIsTame\033[0X for an rcwa group", "3.2-1", [ 3, 2, 1 ], 262, 34,
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[ "\033[10XIsSolvable\033[0X for an rcwa group", "3.2-1", [ 3, 2, 1 ], 262,
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[ "\033[10XIndex\033[0X for rcwa groups", "3.2-1", [ 3, 2, 1 ], 262, 34,
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[ "\033[10XIsomorphismMatrixGroup\033[0X for an rcwa group", "3.2-1",
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[ "\033[10XExponent\033[0X of an rcwa group", "3.2-1", [ 3, 2, 1 ], 262,
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[ "\033[2XEpimorphismFromFpGroup\033[0X (for an rcwa group and a search radi\
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[ "\033[2XPreImagesRepresentative\033[0X (for an epi. from a free group to a\
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, "X8463E34286344F06" ],
[ "\033[10XPreImagesRepresentatives\033[0X for an epi. from a free group to \
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[ "\033[10XSupport\033[0X of an rcwa group", "3.3", [ 3, 3, 0 ], 535, 39,
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[ "\033[2XOrbit\033[0X (for an rcwa group and a point)", "3.3-1",
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[ "\033[2XOrbit\033[0X (for an rcwa group and a set)", "3.3-1",
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[ "\033[2XDrawOrbitPicture\033[0X (G, p0, r, h, w, colored, palette, filenam\
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[ "\033[2XShortOrbits\033[0X (for rcwa group, set of points and bound on len\
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[ "\033[2XShortCycles\033[0X (for rcwa permutation, set of points and bound \
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[ "\033[2XBall\033[0X (for group, element and radius)", "3.3-4",
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[ "\033[2XRepresentativeAction\033[0X (G, source, destination, action)",
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[ "\033[10XRepresentativeActionPreImage\033[0X G, source, destination, actio\
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[ "\033[2XProjections\033[0X (for an rcwa group and a modulus)", "3.3-6",
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[ "\033[10XOrbitsModulo\033[0X for an rcwa group and a modulus", "3.3-6",
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[ "\033[2XRepresentativeAction\033[0X (for RCWA(R) and 2 partitions of R int\
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[ "\033[2XRespectedPartition\033[0X (of a tame rcwa group)", "3.4-1",
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[ "\033[2XRespectedPartition\033[0X (of a tame rcwa permutation)", "3.4-1",
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[ "\033[10XRespectedPartitionLong\033[0X for a tame rcwa group", "3.4-1",
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[ "\033[10XRespectsPartition\033[0X for an rcwa permutation", "3.4-1",
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[ "\033[10XPermutationOpNC\033[0X g, P, OnPoints", "3.4-1", [ 3, 4, 1 ],
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[ "\033[2XActionOnRespectedPartition\033[0X (for a tame rcwa group)",
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[ "\033[2XKernelOfActionOnRespectedPartition\033[0X (for a tame rcwa group)"
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[ "\033[10XIntegralConjugate\033[0X of a tame rcwa group", "3.4-2",
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"X7A6786727EC1E4BB" ],
[ "\033[10XIntegralConjugate\033[0X of a tame rcwa permutation", "3.4-2",
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[ "\033[10XIntegralizingConjugator\033[0X of a tame rcwa group", "3.4-2",
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"X7A6786727EC1E4BB" ],
[ "\033[10XIntegralizingConjugator\033[0X of a tame rcwa permutation",
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"integralizingconjugator of a tame rcwa permutation",
"X7A6786727EC1E4BB" ],
[ "\033[10XRandom\033[0X RCWA(R)", "3.5", [ 3, 5, 0 ], 965, 46,
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[ "\033[10XRandom\033[0X CT(R)", "3.5", [ 3, 5, 0 ], 965, 46,
"random ct r", "X8302BA78810C1DEE" ],
[ "\033[10XClassPairs\033[0X m", "3.5", [ 3, 5, 0 ], 965, 46,
"classpairs m", "X8302BA78810C1DEE" ],
[ "\033[10XClassPairs\033[0X R, m", "3.5", [ 3, 5, 0 ], 965, 46,
"classpairs r m", "X8302BA78810C1DEE" ],
[ "\033[2XIsRcwaGroup\033[0X", "3.6-1", [ 3, 6, 1 ], 1029, 47,
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[ "\033[2XIsRcwaGroupOverZ\033[0X", "3.6-1", [ 3, 6, 1 ], 1029, 47,
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[ "\033[2XIsRcwaGroupOverZ_pi\033[0X", "3.6-1", [ 3, 6, 1 ], 1029, 47,
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[ "\033[2XIsRcwaGroupOverGFqx\033[0X", "3.6-1", [ 3, 6, 1 ], 1029, 47,
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[ "\033[10XIsRcwaGroupOverZOrZ_pi\033[0X", "3.6-1", [ 3, 6, 1 ], 1029, 47,
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[ "\033[10XIsNaturalRCWA\033[0X", "3.6-1", [ 3, 6, 1 ], 1029, 47,
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[ "\033[10XIsNaturalCT\033[0X", "3.6-1", [ 3, 6, 1 ], 1029, 47,
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[ "rcwa monoid definition", "4.", [ 4, 0, 0 ], 1, 48,
"rcwa monoid definition", "X7D6731AB7FE21290" ],
[ "\033[10XMonoid\033[0X", "4.1", [ 4, 1, 0 ], 8, 48, "monoid",
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[ "\033[10XMonoidByGenerators\033[0X", "4.1", [ 4, 1, 0 ], 8, 48,
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[ "\033[10XView\033[0X for an rcwa monoid", "4.1", [ 4, 1, 0 ], 8, 48,
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[ "\033[10XDisplay\033[0X for an rcwa monoid", "4.1", [ 4, 1, 0 ], 8, 48,
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[ "\033[10XPrint\033[0X for an rcwa monoid", "4.1", [ 4, 1, 0 ], 8, 48,
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[ "\033[10XString\033[0X for an rcwa monoid", "4.1", [ 4, 1, 0 ], 8, 48,
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[ "\033[2XRcwa\033[0X (the monoid of all rcwa mappings of a ring)",
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[ "\033[10XRestriction\033[0X for an rcwa monoid, by an injective rcwa mappi\
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"X788C654D8358E642" ],
[ "\033[10XInduction\033[0X for an rcwa monoid, by an injective rcwa mapping\
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"induction for an rcwa monoid by an injective rcwa mapping",
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[ "\033[10XSize\033[0X for an rcwa monoid", "4.2", [ 4, 2, 0 ], 78, 49,
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[ "\033[10Xrcwa monoids\033[0X membership test", "4.2", [ 4, 2, 0 ], 78,
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[ "\033[10XIsSubset\033[0X for two rcwa monoids", "4.2", [ 4, 2, 0 ], 78,
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[ "\033[10XSupport\033[0X of an rcwa monoid", "4.2", [ 4, 2, 0 ], 78, 49,
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[ "\033[10XModulus\033[0X of an rcwa monoid", "4.2", [ 4, 2, 0 ], 78, 49,
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[ "\033[10XIsTame\033[0X for an rcwa monoid", "4.2", [ 4, 2, 0 ], 78, 49,
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[ "\033[10XPrimeSet\033[0X of an rcwa monoid", "4.2", [ 4, 2, 0 ], 78, 49,
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[ "\033[10XIsIntegral\033[0X for an rcwa monoid", "4.2", [ 4, 2, 0 ], 78,
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[ "\033[10XIsClassWiseOrderPreserving\033[0X for an rcwa monoid", "4.2",
[ 4, 2, 0 ], 78, 49, "isclasswiseorderpreserving for an rcwa monoid",
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[ "\033[10XIsSignPreserving\033[0X for an rcwa monoid", "4.2", [ 4, 2, 0 ],
78, 49, "issignpreserving for an rcwa monoid", "X7C79D4DF831C57D1" ],
[ "rcwa monoid modulus", "4.2", [ 4, 2, 0 ], 78, 49, "rcwa monoid modulus",
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[ "rcwa monoid tame", "4.2", [ 4, 2, 0 ], 78, 49, "rcwa monoid tame",
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[ "rcwa monoid wild", "4.2", [ 4, 2, 0 ], 78, 49, "rcwa monoid wild",
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[ "rcwa monoid prime set", "4.2", [ 4, 2, 0 ], 78, 49,
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[ "rcwa monoid integral", "4.2", [ 4, 2, 0 ], 78, 49,
"rcwa monoid integral", "X7C79D4DF831C57D1" ],
[ "rcwa monoid class-wise order-preserving", "4.2", [ 4, 2, 0 ], 78, 49,
"rcwa monoid class-wise order-preserving", "X7C79D4DF831C57D1" ],
[ "rcwa monoid sign-preserving", "4.2", [ 4, 2, 0 ], 78, 49,
"rcwa monoid sign-preserving", "X7C79D4DF831C57D1" ],
[ "\033[2XShortOrbits\033[0X (for rcwa monoid, set of points and bound on le\
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"shortorbits for rcwa monoid set of points and bound on length",
"X87DB896687475084" ],
[ "\033[2XBall\033[0X (for monoid, element and radius)", "4.2-2",
[ 4, 2, 2 ], 165, 51, "ball for monoid element and radius",
"X858D31247B53A76F" ],
[ "\033[2XBall\033[0X (for monoid, point, radius and action)", "4.2-2",
[ 4, 2, 2 ], 165, 51, "ball for monoid point radius and action",
"X858D31247B53A76F" ],
[ "\033[2XInfoRCWA\033[0X", "7.3-1", [ 7, 3, 1 ], 27, 106, "inforcwa",
"X7BAF5F4986288983" ],
[ "\033[10XRCWAInfo\033[0X", "7.3-1", [ 7, 3, 1 ], 27, 106, "rcwainfo",
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[ "\033[2XRCWATest\033[0X", "7.4-1", [ 7, 4, 1 ], 38, 106, "rcwatest",
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[ "\033[2XRCWABuildManual\033[0X", "7.5-1", [ 7, 5, 1 ], 53, 107,
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[ "\033[2XSaveAsBitmapPicture\033[0X (picture, filename)", "7.6-1",
[ 7, 6, 1 ], 71, 107, "saveasbitmappicture picture filename",
"X81DE1E838615C214" ],
[ "\033[10XReadFromBitmapPicture\033[0X filename", "7.6-1", [ 7, 6, 1 ],
71, 107, "readfrombitmappicture filename", "X81DE1E838615C214" ],
[ "\033[2XRunDemonstration\033[0X (filename)", "7.7-1", [ 7, 7, 1 ], 103,
107, "rundemonstration filename", "X850524E47E3DB78D" ],
[ "\033[10XGeneratorsAndInverses\033[0X for a group", "7.8", [ 7, 8, 0 ],
115, 108, "generatorsandinverses for a group", "X8677C67F7AD4C9C7" ],
[ "\033[10XEpimorphismByGenerators\033[0X for two groups", "7.8",
[ 7, 8, 0 ], 115, 108, "epimorphismbygenerators for two groups",
"X8677C67F7AD4C9C7" ],
[ "\033[10XListOfPowers\033[0X", "7.8", [ 7, 8, 0 ], 115, 108,
"listofpowers", "X8677C67F7AD4C9C7" ],
[ "\033[10XAllProducts\033[0X", "7.8", [ 7, 8, 0 ], 115, 108,
"allproducts", "X8677C67F7AD4C9C7" ],
[ "\033[10XDifferencesList\033[0X", "7.8", [ 7, 8, 0 ], 115, 108,
"differenceslist", "X8677C67F7AD4C9C7" ],
[ "\033[10XFloatQuotients\033[0X", "7.8", [ 7, 8, 0 ], 115, 108,
"floatquotients", "X8677C67F7AD4C9C7" ],
[ "\033[10XEquivalenceClasses\033[0X for a list and a function computing a c\
lass invariant", "7.8", [ 7, 8, 0 ], 115, 108,
"equivalenceclasses for a list and a function computing a class invarian\
t", "X8677C67F7AD4C9C7" ],
[ "\033[10XEquivalenceClasses\033[0X for a list and a function describing an\
equivalence relation", "7.8", [ 7, 8, 0 ], 115, 108,
"equivalenceclasses for a list and a function describing an equivalence \
relation", "X8677C67F7AD4C9C7" ] ]
);
distrib
>
Mandriva
>
2010.0
>
i586
>
media
>
contrib-release
>
by-pkgid
>
5e1854624d3bc613bdd0dd13d1ef9ac7
>
files
>
2857
