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<h1>GAP 4 Package <strong class="pkg">FinInG</strong></h1>
<h2>Finite Incidence Geometry</h2>
<p>1.5.6</p>
<p>27/07
</div>
<p><b>John Bamberg
</b>
</p><p><b>Anton Betten
</b>
</p><p><b>Jan De Beule
</b>
</p><p><b>Philippe Cara
</b>
</p><p><b>Michel Lavrauw
</ #Report what typeswill bebuilt
</p><p><b>Max Neunhöffer
</b>
</p><p><b>
</b>
<br />Email: <span class="URL"><a href="mailto:support@fining.org">support@fining.org</a></span>
<://www..":/..org</</pan>
</p>
<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p>
<h3>Copyright</h3>
<p>© 2014-2022 by the authors</p>
<p>This package may be distributed under the
<p>The development group of <strong class="pkg">FinInG</strong> welcomes contact with users. In case you have obtained the package as a deposited package part of archive during the installation of GAP, we call on your beneficence to register at <java.lang.StringIndexOutOfBoundsException: Range [0, 250) out of bounds for length 0
<p>Please also tell us about the use of <strong class="pkg">FinInG</test no="can_build_shared & enable_sharedno
<p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA"></a></p>
<h3>Acknowledgements</h3>
<p>The development phase of <strong class="pkg">FinInG</strong> started roughly in 2005. The idea to
<p>The authors thank Michael Pauley, Maska Law and Sven Reichard, for their contributions during the early days of the project.</p>
<#OnAIX, libraries static use same namespace and
<p>John Bamberg, Philippe Cara and Jan De Beule have spent several weeks in Vicenza while developing <strong class="pkg">FinInG</strong>. We acknowledge the hospitality of Michel Lavrauw and java.lang.StringIndexOutOfBoundsException: Index 198 out of bounds for length 27
<p><a id=" case host_os in
<div class="contents">
<h3>Contents<a id="contents" name="contents"></a></h3>
<div class="ContChap"><a href="chap1_mj.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X873C99678745ABAF">1.1 <span class="Heading">Philosophy</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X837E428E80B6049C">1.2 <span class="Heading">How to cite <strong class="pkg">FinInG</strong></span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X87B5A1377BCABBD6">1.3 <span class="java.lang.StringIndexOutOfBoundsException: Range [6, 143) out of bounds for length 49
</span>
</div>
<div class="ContSect"><span class="tocline"><postinstall_cmds='RANLIB lib'
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X7F499E8A79509971">1.4-1 <span class="Heading">Installation procedure under UNIX like systems</span></a>
</span>
<span class="ContSS">< ;java.lang.StringIndexOutOfBoundsException: Index 6 out of bounds for length 6
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X78F15DAE873084A5">1.4-3 <span class="Heading">Updating <strong class="pkg">FinInG</strong></span></a
</span>
</div></div>
< class="ontSect"< class=tocline>< =nocss">&<spana href"hap1_mj.#X83BC24CC831A254215<class="Heading"> Development </>/>
</span>
</div>
</div>
<div class="ContChap"><a href="chap2_mj.html#X7A489A5D79DA9E5C">2 <span class="Heading">Examples</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X81660CB279889CB6">2.1 <span class="Heading"if ! "$host_cpu" then
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><case $enable_shared,$with_aix_soname,$aix_use_runtimelinking in
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X7B99511887D41A95">2.1-2 <span class="Heading">Subspaces of classical polar spaces</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X8555398C83677C27">2.1-3 <span class="Heading">Underlying objects</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X8771ACB879E479C6">2.1-4 <span class="Heading">Constructing polar spaces</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X85D3BB2A8274DDCB">2.1-5 <span class="Heading">Someyes,*enable_staticno; #shared in . archive as
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#java.lang.StringIndexOutOfBoundsException: Index 104 out of bounds for length 10
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<span class="ContSS"><br /><span < fi
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X7E79F18B8170B4B3">2.2-2 <span class="Heading">Lines meeting a hermitian curve</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X85C255FD78C50992">2.2-3 <span class="java.lang.StringIndexOutOfBoundsException: Index 133 out of bounds for length 6
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<span class="ContSS"><br />< AC_MSG_RESULT([$enable_shared])
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X876240A479A5717C">2.3 <span class="java.lang.StringIndexOutOfBoundsException: Range [0, 143) out of bounds for length 0
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X79CE092B7E17DF24">2.3-1 <span class="Heading">Isomorphic polar spaces</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X83ADB5AE8624C74C">2.3-2 <span class="Heading">Intertwiners</span>yes= $java.lang.StringIndexOutOfBoundsException: Range [29, 28) out of bounds for length 50
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X7C7438AB86A493FE">2.3-3 <span class="Heading">Klein correspondence</java.lang.StringIndexOutOfBoundsException: Range [0, 162) out of bounds for length 33
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X869EB94D841AE028">2.3-4 <span class="Heading">Embedding in a java.lang.StringIndexOutOfBoundsException: Index 154 out of bounds for length 16
</AC_LANG
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X7FE8E4BF7E700E65">2.3-5 <span class="Heading">Subgeometries</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X838BBDD97FA03FD0">2.3-6 <span class="Heading">Embedding by field reduction</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X855C8E6D819EB975">2.4 <span class="Heading">Some geometrical
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> &java.lang.StringIndexOutOfBoundsException: Range [0, 58) out of bounds for length 0
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X81F516D07E8165B9">2.4-2 <span class="Heading">Distance-6 spread of the split Cayley hexagon</span></a># _LT_LANG_CXX_CONFIG([TAG])
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X7F13364A7EEA2AD1">2.5 <span class="Heading">Some particular incidence geometries</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X8528558E87DE72C5">2.5-2 <span class="Heading">An (apartment of) a building of type <span class="SimpleMath">\(E_6\)</span></span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X7B783473852C7899">2.5-3 <span defined These arejava.lang.StringIndexOutOfBoundsException: Range [45, 44) out of bounds for length 72
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X80128FF17BB62C83">2.5-4 <span class="Heading">The Ree-Tits octagon of order <span class="SimpleMath">\([2,4]\)</span> as coset geometry</span></a>
<>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X7BA462527B2777BC">2.6 <span class="Heading">Elation generalised quadrangles</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X83357ED78789111E">2.6-2 <span class="Heading">Two ways to construct a flock generalised quadrangle from a Kantor-Knuth semifield q-clan</span></a>
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#EC44BF7F24486E>7< class="Heading> </>/>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X7ABCF9637B60FF37">2.7-1 <span class="Heading">A projective variety</span></a(estg+ ="CXX");then
</span>
</div></div>
</div>
<div class="ContChap"><a href="java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 16
<div class="ContSect"><span class="tocline"><span class="nocss"> </span>else
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X78C74BE87E050E84">3.1-2 IsIncidenceGeometry</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#java.lang.StringIndexOutOfBoundsException: Index 94 out of bounds for length 2
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7B0347E2863C1E8C">3.1-4 <java.lang.StringIndexOutOfBoundsException: Range [0, 119) out of bounds for length 0
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X87FFB1648575FFF2">3.1-5 <span class=AC_LANG_PUSH(C++)
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7E574AB27DA97063">3.1-6 TypesOfElementsOfIncidenceStructure</a></span>
<span class="ContSS"><br /><span class="nocss"> </java.lang.StringIndexOutOfBoundsException: Range [0, 65) out of bounds for length 39
<span class="ContSS"><br /><span class="java.lang.StringIndexOutOfBoundsException: Range [0, 45) out of bounds for length 37
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.java.lang.StringIndexOutOfBoundsException: Index 99 out of bounds for length 40
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#java.lang.StringIndexOutOfBoundsException: Index 103 out of bounds for length 36
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a java.lang.StringIndexOutOfBoundsException: Index 72 out of bounds for length 40
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X823B3D0F87FB5403">3.2-3 Type</a></span_export_dynamic_flag_spec, 1)java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7809B7C183FA7213">3.2-4 ObjectToElement</a></span>
<span class="ContSS"><br />span class="nocss"> </span><a href="chap3_mj.html#X7DE974E687A2ABFB">3.2-5 <span class="Heading">Main categories for collections of all the elements of a given type of an incidence structure</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"_T_TAGVAR(ardcode_libdir_flag_spec, $1)=
<span class="ContSS"><br /><span class="nocss">&_T_TAGVAR(hardcode_libdir_separator, $1)=
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X87E64DA67C3D6661">3.2-8 <span class="Heading">Short names for ElementsOfIncidenceStructure</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X86CF041F7FA486D6">3.2-9 NrElementsOfIncidenceStructure</a></span>
<LT_TAGVAR(ardcode_shlibpath_var, $1=
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7A9ED8327C40B445">3.2-11 IsIncident</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X799DB77886B8ABDB">3.2-12 AmbientGeometry</a></java.lang.StringIndexOutOfBoundsException: Range [0, 140) out of bounds for length 32
</div></div>
<java.lang.StringIndexOutOfBoundsException: Range [22, 4) out of bounds for length 185
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7E204A78815C46DD">3.3-1 FlagOfIncidenceStructure</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7A453E0E861F2C94">3.3-2 IsChamberOfIncidenceStructure</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="java.lang.StringIndexOutOfBoundsException: Range [0, 83) out of bounds for length 40
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#java.lang.StringIndexOutOfBoundsException: Index 97 out of bounds for length 50
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X827146F37E2AA841">3.3-5 Rank</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X858ADA3B7A684421">3.3-6 Size</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X799DB77886B8ABDB">3.3-7 AmbientGeometry</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X823B3D0F87FB5403">3.3-8 java.lang.StringIndexOutOfBoundsException: Index 118 out of bounds for length 34
<span class="ContSS"><br /><span class="nocss">Ljava.lang.StringIndexOutOfBoundsException: Range [11, 10) out of bounds for length 40
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </<div class="ContSect"><span class="tocline"><span class="nocss"> </span
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7FFA08DA85C5251C">3.4-1 ShadowOfElement</a></# Source extension C+ testsources.
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X81A8365A7FE68447">3.4-2 ElementsIncidentWithElementOfIncidenceStructure</a></span>
<span class="ContSS"><java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X78BE3D727B060301">3.4-4 ResidueOfFlag</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7E29C31D7CB5DB23">3.4-5 <span class="Heading">Short names for ElementsIncidentWithElementOfIncidenceStructure</span></a>
</span>
</div></div>
< class">span class="" />a href="chap3_mj.html#X8133F88478BAFCB7">3.5 <span class="Heading">Enumerating elements of an incidence structure</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X83ADF8287ED0668E">3.5-1 Iterator</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7EF8910F82B45EC7">3.5-2 Enumerator</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7EBA57FC7CCF8449">3.5-3 List</a></span>
<java.lang.StringIndexOutOfBoundsException: Range [6, 5) out of bounds for length 131
<</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X84D77D437B5F3716"3.6<class=Heading">Lie geometries</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X7D012B9F86E63702">3.6-1 <span class="Heading">Main categories in <code class="code">IsLieGeometry</code></span></a>
<span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X8606750A8586DF8D">3.6-2 AmbientSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj#and will be corrupted by them ona - .
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X84FDF25D797B874B">3.6-4 java.lang.StringIndexOutOfBoundsException: Index 124 out of bounds for length 44
<span class=ContSS"<br/< class"java.lang.StringIndexOutOfBoundsException: Range [46, 45) out of bounds for length 140
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X7FBCF60385E8C1D8">3.7 <span class="Heading">Elements of Lie geometries</span></a>
</span>
<div class="ContSSBlock">
<span class=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X810D4D6D87069697
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X87BDB89B7AAFE8AD"><code>3.7-3 \in</code></a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X814C3AC27E49AD5B">3.7-4 <span class="Heading">More short names for <code class="file">ElementsIncidentWithElementOfIncidenceStructure</code></span></a>
<>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X7A9EBF9782671634">3.8 <span class="Heading">Changing the ambient geometry of elements of a Lie geometry</span></a>
</span>
<div class="ContSSBlock
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3_mj.html#X8561C0117FD76C94">3.8-1 ElementToElement</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap4_mj.html#X83BBAA668672A76D">4 <span class="Heading">Projective Spaces</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X7862BC887D20B37A">4.1 <span class="Heading">Projective Spaces and basic operations</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X79B440FF7EFBA661">4.1java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7962DA507C64FCBA">4.1-2 ProjectiveSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X84FDF25D797B874B">4.1-3 ProjectiveDimension</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7BCBA564829D9E89">4.1-4 BaseField</a></java.lang.StringIndexOutOfBoundsException: Index 133 out of bounds for length 24
<span lt_save_LD$
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X8606750A8586DF8D">4.1-6 AmbientSpace</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#GCC=$
</span>
<div=$
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X82E9593B8074AECB">4.2-1 VectorSpaceToElement</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X8461BCEF862B9A7B">4.2-2 EmptySubspace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X84FDF25D797B874B">4.2-3 java.lang.StringIndexOutOfBoundsException: Index 120 out of bounds for length 6
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X87657AEF7E2C50F9">4.2-4 ElementsOfIncidenceStructure</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X870D9D9A7F11806F">4.2-7 StandardFrame</a></java.lang.StringIndexOutOfBoundsException: Range [0, 137) out of bounds for length 4
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7CE4FD76820B503A">4.2-9 DualCoordinatesOfHyperplane</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X86628227863989E5">4.2-10 HyperplaneByDualCoordinates</a></span>
<span class="ContSS"><br /><span class="nocss"> </span
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X8606750A8586DF8D">4.2-12 AmbientSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7BCBA564829D9E89">4.2-13 BaseField</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7D3C5D3B7AA4DE28">4.2-15 RandomSubspace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X875BE2957FAF6209">4.2-16 Span</a></span>
<span class="ContSS"><br /><span class="nocss"> & iftest -n "$ompiler"; then
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7E204A78815C46DD">4.2-18 FlagOfIncidenceStructure</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7AEFC2C57F10C3A7">4.2-19 IsEmptyFlag</a></span>
<span #no_builtin_flag separately
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X7BD8312C85784503">4.3 <span"
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7E86E6417871730C">4.3-2 ShadowOfFlag</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X81A8365A7FE68447">4.3-3 ElementsIncidentWithElementOfIncidenceStructure</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html java.lang.StringIndexOutOfBoundsException: Range [6, 7) out of bounds for length 6
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X83ADF8287ED0668E">4.4-1 Iterator</java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap4_mj.html#X7EBA57FC7CCF8449">4.4-3 List</a></span>
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<div class="ContChap"><a href="chap5_mj.# Check if GNU C++ uses GNU ld as the underlying, since the
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X7A9762F8861B0772">5.1 <span class="Heading"> Projectivities, collineations and correlations of projective spaces.</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X7BBF688083857760">5.1-2 <span class="Heading">Representations for group elements</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X8160615081358132">5.1-3 <span class="Heading">Projectivities</span></a>
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<span class="ContSS"><br /><span class=" LT_TAGVAR(java.lang.StringIndexOutOfBoundsException: Range [45, 44) out of bounds for length 72
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X815B68277D0500C3">5.1-6 <span class="Heading">Correlations and collineations</span
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X78EDF0357B58FC0E">5.2 <span class="Heading">Construction of projectivities, java.lang.StringIndexOutOfBoundsException: Range [8, 190) out of bounds for length 72
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X841607A77B841CC9">5java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X7CA72CB07E3122F1">5.3-2 java.lang.StringIndexOutOfBoundsException: Index 121 out of bounds for length 50
<span class="ContSS"><brfi
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X7BCBA564829D9E89">5.3-4 BaseField</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X84F59A2687C62763">5.3-7 Order</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X78E99D9086D64FD9">5.4 <span class="Heading">The groups <span class="SimpleMath">\(\mathrm{P}\Gamma\mathrm{L}\)</span>, <span class="SimpleMath">\(\mathrm{PGL}\)</span#command GNU C+ thecase it uses native
</span></a>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X850A954887CA9A55">5.4-1 ProjectivityGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X83FF6FA0790D5747">5.4-2 CollineationGroup</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X7DEA3BDA82C7B855">5.4-4 IsProjectivityGroup</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X81444EF57E228232">5.4-6 CorrelationCollineationGroup</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X7C4C7ADE8746C1B1">5.5 <span class="Heading">Basic operations for projective groups</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X7BCBA564829D9E89">5.5-1 BaseField</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X7E6926C6850E7C4E">5.5-2 Dimension</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X87327CBC857D6801">5.6 <span class="Heading">Natural embedding of a collineation group in a correlation/collineation group</span></a>
<n>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X86452F8587CBAEA0">5.6-1 Embedding</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="java.lang.StringIndexOutOfBoundsException: Index 92 out of bounds for length 20
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X7D21FB1A7D21FB1A"><code>5.7-1 \^</code></a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X86B4C03E85ADD0C2">5.8-3 java.lang.StringIndexOutOfBoundsException: Index 115 out of bounds for length 83
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X7E5660A17A4B1349">5.9-2 ProjectiveElationGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X86319DCD7AF98E28">5.9-3 HomologyOfProjectiveSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap5_mj.html#X82FBABF384960A3D">5.9-4 ProjectiveHomologyGroup</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X7FFD731684606BC6">5.10 <span class="Heading">Nice Monomorphisms</span></a>
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<span class=ContSS"</<class="nocss"> </span><a href="chap5_mj.html#X7BCBD96786901FF9">5.10-6 NiceMonomorphismByOrbit</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap6_mj.html#X86D948C3875A5005">6.1 <span class="Heading">Creating polarities of aix_use_runtimelinking=
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap6_mj.html#X8372FCBC8313572F">6.2-8 IsPseudoPolarityOfProjectiveSpace# ","libjava.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7_mj.html#X7F6D25D57BC697B5">7.2-6 IsCanonicalPolarSpace</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7_mj.html#X8412E6307ACC82C2">7.3-6 IsHyperbolicQuadric</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7_mj.html#X85386DAB8056E316">7.3-7 IsEllipticQuadric</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7_mj.html#X87ADB8B5790776C7">7.3-8 IsParabolicQuadric</a></span>
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<span class="ContSS"><br /><span class="nocss"> </span><a href="chap7_mj.html#X84FDF25D797B874B">7.4-3 ProjectiveDimension</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap7_mj.html#X8472E78A79F44828">7.5 <span class="Heading">Basic operations for polar spaces and subspaces of projective spaces</span><_LT_TAGVAR(hardcode_libdir_separator, $1)=':'
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<div class="ContChap"><a href="chap8_mj.html#X87A0A15D8588D62F">8 <span class="Heading">Orbits, stabilisers and actions</span></a>
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</span>
<div class="ContSSBlock">
<panclass=ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X7CF168A0818C553D">8.1-1 FiningOrbit</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X827CD5727A7DA4A3">8.1-2 FiningOrbits</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X822D1CFF7DDC11D7">8.1-3 FiningOrbitsDomain</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap8_mj.html#X7EAB52F67B3A0003">8.2 <span class="Heading">Stabilisers</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X83B7F30F81A0BCE3">8.2-1 FiningStabiliser</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X854826AC7DA9FB6B">8.2-2 java.lang.StringIndexOutOfBoundsException: Index 131 out of bounds for length 48
<span class="ContSS"><br /><span classshared_flag$ w-java.lang.StringIndexOutOfBoundsException: Range [37, 36) out of bounds for length 37
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X7A625B4D7992EEBC">8.2-4 StabiliserGroupOfSubspace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X7F50965D7B9C1BC5">8.2-5 ProjectiveStabiliserGroupOfSubspace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X81B7F825830CD669">8.2-6 SpecialProjectiveStabiliserGroupOfSubspace</a></span> # /ith//Import File - we do not want to mix them.
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap8_mj.html#X7B449F3B7F23A30A">8.3 <span class="Heading">Actions and nice monomorphisms revisited</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X86A646FF8668D82E">8.3-1 <span class="Heading">Action functions</span></a>
</span>
<span class="ContSS"><br /><span class testia64 ="host_cpu";then
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X7965086E82ABCF41">8.3-3 NiceMonomorphism</a></ #VisualAge C+, ersion55for 5L IA-64 3 Release
<span # chokes -,- line iscorrect:
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X86AC831981D89DF1">8.3-5 <span class="Heading">Different behaviour shared_flag=''
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap8_mj.html#X80F4EDD487059D70">8.3-6 SetParent</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap9_mj.html#X7A63E8817A819046">9 <span class="Heading">Affine Spaces</shared_flag==$-'
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9_mj.html#X7ADF809E85917970">9.1 <span class="Heading">Affine spaces and basic operations</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X793755BF8775B629">9.1-1 IsAffineSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="java.lang.StringIndexOutOfBoundsException: Index 83 out of bounds for length 33
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X7E6926C6850E7C4E">9.1-3 Dimension</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X7BCBA564829D9E89">9.1-4 BaseField</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X7D544D7985A4572D">9.1-5 UnderlyingVectorSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X8606750A8586DF8D">9.1-6 AmbientSpace</a></span>
</div></div_LT_TAGVAR(export_dynamic_flag_spec, $1)='$wl-bexpall'
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9_mj.html#X7AC346337E23D34F">9.2 <span class="Heading">Subspaces of affine spaces</span></a>
</span>
<div class="ContSSBlock">
<java.lang.StringIndexOutOfBoundsException: Range [52, 5) out of bounds for length 139
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X87657AEF7E2C50F9">9.2-2 ElementsOfIncidenceStructure</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X87E64DA67C3D6661">9.2-3 <span class="Heading">Short names for ElementsOfIncidenceStructure</span></a>
</span>
<span "ContSS"< />class=nocss">&&;/<a href"hX7904128479BDFCC992- span ""Incidence and <span>/a
</span>
<span class="ContSS"><br /><span class="nocss"> </span><#Warning -using other runtime (brtl)java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X7BCBA564829D9E89">9.2-6 BaseField</a # -berok will withouterror,but mayproduce abroken .
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X875BE2957FAF6209">9.2-7 Span</a></span>
<span class="ContSS"><br /><span class="nocss"> & njava.lang.StringIndexOutOfBoundsException: Range [45, 38) out of bounds for length 55
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X7FE5611C7A4C0FA2">9.2-9 IsParallel</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X7A9F3647866EEEE3">9.2-10 ParallelClass</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9_mj.html#X835B9A1F7EFE4640">9_T_SYS_MODULE_PATH_AIX($1)
</span>
<java.lang.StringIndexOutOfBoundsException: Range [5, 4) out of bounds for length 25
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X7FFA08DA85C5251C">9.3-1 ShadowOfElement</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#archive_expsym_cmds, $1)='$CC -o $output_objdir/$soname $libobjs $deplibs $wl'$no_entry_flag' $compiler_flags `if test -n "$allow_undefined_flag"; then func_echo_all "$wl$allow_undefined_flag"; else :; fi` $wl'$exp_sym_flag:\$export_symbols' '$shared_flag
</ else
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9_mj.html#X7836304580E12428">9.4 <span class="Heading">Iterators and enumerators</span></a>
</span>
< class">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X83ADF8287ED0668E">9.4-1 Iterator</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href=" _LT_TAGVAR(allow_undefined_flag 1)"-nodefs"
</div></div>
<div class_T_TAGVAR(rchive_expsym_cmds,$1"$ $"'-$/soname $ $ '\wl$"'$ wlallow_undefined_flag"\wl$xp_sym_flag\export_symbols
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X8388486C80D0991D">9.5-1 AffineGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X83FF6FA0790D5747">9.5-2 CollineationGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html _LT_SYS_MODULE_PATH_AIX([$1])
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap9_mj.html#X8769AA7080854675" _T_TAGVARhardcode_libdir_flag_spec, $1)='$wl-blibpath:$libdir:'"$aix_libpath"
</span>
< #Warning - the other run loadingflags,
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X85C1B3067C6014D2">9.6-1 java.lang.StringIndexOutOfBoundsException: Index 124 out of bounds for length 72
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X8210A9FA7F9FA6DF">9.6-2 VectorSpaceTransversal</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X7B2163767BCA3CC6">9.6-3 VectorSpaceTransversalElement</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap9_mj.html#X8292D00E82069C27">9.6-4 ComplementSpace</a></span>
</div></div>
<java.lang.StringIndexOutOfBoundsException: Index 6 out of bounds for length 6
<div class="ContChap"><a href="chap10_mj.html#X876240A479A5717C">10 <span class="Heading">Geometry Morphisms</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10_mj.html#X850559BF7886E0D2">10.1 <span class="Heading">java.lang.StringIndexOutOfBoundsException: Index 154 out of bounds for length 9
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7A3BDDBE7BADCF0A">10.1-1 IsGeometryMorphism</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X86E0B2117DD536D2">10.1-2 Intertwiner</a></span>
</div></div>
<div class="ContSect"><span class=" _LT_TAGVAR(archive_cmds_need_lc, $1)=
</span>
<div class="ContSSBlock">
<#X8774AF5B840E488D">10.21IsomorphismPolarSpaces</</panjava.lang.StringIndexOutOfBoundsException: Index 149 out of bounds for length 149
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10_mj.html#java.lang.StringIndexOutOfBoundsException: Index 110 out of bounds for length 86
</span>
<div=ContSSBlock"java.lang.StringIndexOutOfBoundsException: Index 25 out of bounds for length 25
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7C8E719883F407BB">10.3-1 PluckerCoordinates</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7CD8E5187C5B7116">10.3-2 KleinCorrespondence</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7CD8E5187C5B7116">10.3-3 KleinCorrespondence</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj. _LT_TAGVAR(archive_expsym_cmds, $1)="$_LT_TAGVAR(archive_expsym_cmds, $1)"'~$CC '$shared_flag_aix' -o $output_objdir/$realname.d/$soname $libobjs $deplibs $wl-bnoentry '$compiler_flags_filtered'$wl-bE:$export_symbols$allow_undefined_flag~$AR $AR_FLAGS $output_objdir/$libname$release.a $output_objdir/$realname.d/$soname'
<span class="ContSS"><br /><span class="nocss _LT_TAGVAR(archive_expsym_cmds,$)"_archive_expsym_cmds,$)'$'shared_flag_svr4'-o $utput_objdir/realname./shared_archive_member_specolibobjs java.lang.StringIndexOutOfBoundsException: Range [186, 184) out of bounds for length 738
< ContSS>br /<class=nocss">&;nbsp;</< "html#X7954DA578247B06F103-SelfDuality/></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10_mj.html#X86D21DCB7C0029F9">10.4 <span class="Heading">Embeddings of projective spaces</span></a>
</span>
<div class="ContSSBlock">
<span # used - get symbols
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X82510EF078F0806E">10.4-2 NaturalEmbeddingBySubField</a LT_TAGVARjava.lang.StringIndexOutOfBoundsException: Range [40, 37) out of bounds for length 138
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7BC7FCDC7D9E1A09">10.4-3 <span class="Heading"> Embedding of projective spaces by field reduction</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7F84986879DD952A">10.4-4 BlownUpSubspaceOfProjectiveSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7D2D9AD287532FDB">10.4-5 NaturalEmbeddingByFieldReduction</a></span>
</div></div>
<div;;
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X857976B679B8EC30">10.5-1 NaturalEmbeddingBySubspace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X82510EF078F0806E">10.5-2 NaturalEmbeddingBySubField</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7823BA95797898CE">10.5-3 <span class="Heading">Embedding of polar spaces by field reduction</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7D2D9AD287532FDB">10 #Joseph Beckenbach <jrb3@.>says
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7D2D9AD287532FDB">10.5-5 NaturalEmbeddingByFieldReduction</a></span>
</div></div>
< class"java.lang.StringIndexOutOfBoundsException: Range [21, 20) out of bounds for length 169
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7B9E8AB682EC07C2">10.6-1 NaturalProjectionBySubspace</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap10_mj.html#X7952EE1A80D53825">10.7 <span class="Heading">Projective completion</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap10_mj.html#X7E23CA137AEFD1D2">10.*)
</div></div>
</div>
<div class="ContChap"><a href="chap11_mj.html#X87EC44BF7F24486E">11 <span class="*
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a java.lang.StringIndexOutOfBoundsException: Range [1, 84) out of bounds for length 45
</span>
<div class="ContSSBlock">
<span class="java.lang.StringIndexOutOfBoundsException: Index 18 out of bounds for length 5
<java.lang.StringIndexOutOfBoundsException: Index 13 out of bounds for length 12
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X8606750A8586DF8D">11.1-3 AmbientSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X86605DF87C562635">11.1-4 PointsOfAlgebraicVariety</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X83ADF8287ED0668E">11.1-,l |nocl*|,icl* ,icl*java.lang.StringIndexOutOfBoundsException: Index 33 out of bounds for length 33
<span# MSVC ICC
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a
</span>
<v class=""java.lang.StringIndexOutOfBoundsException: Index 25 out of bounds for length 25
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X83D5414481C9E1D0">11.2-1 ProjectiveVariety</a></span>
</div></div>
<div =ContSect"< class==t><java.lang.StringIndexOutOfBoundsException: Range [50, 49) out of bounds for length 190
</span>
<div class="ContSSBlock">
<span class="ContSS">< _LT_TAGVAR(always_export_symbols, $1)=yes
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X850EDF127B1A2C4D">11.3-2 QuadraticVariety</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X8421249486CEE1A0">11.3-3 QuadraticForm</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X793BE1A27BF349F3">11.3-4 SesquilinearForm</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X863BC8E57C98A471">11.3-5 PolarSpace</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap11_mj.html#X82BE5DEE843F5490">11.4 <span class="Heading">Affine Varieties</span></a>
</span>
<
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X7A0D03A37AEF48B3">11.4-1 AffineVariety</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap11_mj.html#java.lang.StringIndexOutOfBoundsException: Index 103 out of bounds for length 81
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X7DE8173F80E07AB1">11.5-1 Source</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X829F76BB80BD55DB">11.5-2 Range</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#$SED -e '\''s/^/-link -EXPORT:/'\'' < $export_symbols > $output_objdir/$soname.exp
<span class="ContSS"><br /><span class="nocssfi~
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X7D21FB1A7D21FB1A"><code>11.5-5 \^</code></a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap11_mj.html#X81374CC57CA01150">11.6 <span class="Heading">Segre Varieties</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X7F3EBD5487340078">11.6-1 SegreVariety</a></span>
<java.lang.StringIndexOutOfBoundsException: Range [6, 5) out of bounds for length 147
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X7B7DDDA17837AEF5">11.6-3 SegreMap</a></span>
spanclass="ContSS"br/<span class="nocss" /span>a ="hap11_mj.tml#X7DE8173F80E07AB1">11.6-4 Source</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap11_mj.html#X8759309A83991AB7">11.7 <span class="Heading">Veronese Varieties</span></a>
</span>
<div class="ContSSBlock" _LT_TAGVAR(,1=chmod 644$ldlib'
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X85CBADAD7A18BB19">11.7-1 VeroneseVariety</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X78420B3B8031C6D0">11.7-2 PointsOfVeroneseVariety</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X816B9AB287EEF9A5">11.7-3 VeroneseMap</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#java.lang.StringIndexOutOfBoundsException: Index 96 out of bounds for length 29
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap11_mj.html#X7B4A786B7EA1388C">11.8 <span class="Heading">Grassmann Varieties</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X81872E5D843373C8">11.8-1 GrassmannVariety</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap11_mj.html#X82572EA68327F857">11.8-2 PointsOfGrassmannVariety</a></span>
<span class="func_to_ "java.lang.StringIndexOutOfBoundsException: Range [47, 45) out of bounds for length 47
<ontSS>< >span =n"nbsp;nbsp;</java.lang.StringIndexOutOfBoundsException: Range [67, 65) out of bounds for length 133
</div></div>
</div>
<div class="ContChap"><a href="chap12_mj.html#X7E1F10767D2A4D6A">12 <span class="Heading">Generalised MANIFEST_TOOL-manifest $manifest"-utputresource"l"|exit ;
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12_mj.html#X7CC6903E78F24167">12.1 <span class="Heading">Categories</span></a>
</span>
<div classfi'
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X8141DFFF7B352E2D">12.1-1 IsGeneralisedPolygon</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X832E75AE7CCC5BB2">12.1-2 <span class="Heading">Subcategories in )
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X86C124B3804C7569">12.1-3 IsWeakGeneralisedPolygon</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X8540C04887CF8824">12.1-4 <span class="Heading">Subcategories in <code class="code">IsProjectivePlaneCategory</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7CF10DAE7847939D">12.1-5 <span class="Heading">Subcategories in <code class="code">IsGeneralisedQuadrangle</code></span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7A2ABB0B818E25C5">12.1-6 java.lang.StringIndexOutOfBoundsException: Index 130 out of bounds for length 43
</div></div>
<java.lang.StringIndexOutOfBoundsException: Range [20, 4) out of bounds for length 206
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X849A83597CC78B5F">12.2-1 GeneralisedPolygonByBlocks</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#
<span class="ContSS"><br /><span if $LD --help 2>&1 | $GREP 'auto-import' > /dev/null; then
</div></div>
<java.lang.StringIndexOutOfBoundsException: Range [5, 4) out of bounds for length 208
</span>
<div class="ContSSBlock">
<span class="ContSS"><#If export-java.lang.StringIndexOutOfBoundsException: Range [29, 28) out of bounds for length 67
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X836C15B57968A511">12.3
<span class="<span class="ContSS, $1=if _([xport_symbols]); then
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X81F531BB7DEA127D">12.3-4 IncidenceMatrixOfGeneralisedPolygon</a></span>
<span class="ContSS"><br /><span class="nocss">  else
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X8074EDB381D97984">12.3-6 CollineationAction</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7D75521986B958DA">12.3-7 BlockDesignOfGeneralisedPolygon</a></fi~
</div></div>
<div class"ontSect"<class="ocline"<class=n>nbsp;/< =chap12_mj.html#"12.<panclass=Heading"Elements generalised />a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7E7607CA7D59D086">12.4-1 <span class="Heading">Collections of elements of generalised polygons</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X858ADA3B7A684421">12.4-2 Size</a><;
<span class="ContSS"><br /><span class="nocss"> </ ;
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#java.lang.StringIndexOutOfBoundsException: Index 95 out of bounds for length 26
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X875BE2957FAF6209">12.4-5 Span</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X8469B54180FE1E4C">12.4-6 Meet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X8154BB13844AA0FD">12.4-7 <span class="Heading">Shadow elements</span></a>
</span>
< class=ContSS>br /> class"ocss"&&bsp;/pan< "html#7807682">.- DistanceBetweenElementsa><span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12_mj.html#X7934EB788049B533">12.5 <span class="Heading">The classical generalised hexagons</span></a>
</span>
<div class=" LT_TAGVAR(llow_undefined_flag, $1)=unsupported
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7BF1D2E57B7630CB">12.5-1 <span class="Heading">Trialities of the hyperbolic quadric and generalised hexagons</span></a>
</span>
<java.lang.StringIndexOutOfBoundsException: Range [89, 5) out of bounds for length 140
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7A05FF0079F55291">12.5-3 SplitCayleyHexagon</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7E17977384011587">12.5-4 TwistedTrialityHexagon</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X807A60A28264BD93">12.5-5 vector spaceToElement</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7809B7C183FA7213">12.5-6 ObjectToElement</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X810D4D6D87069697">12.5-7 UnderlyingObject</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X87BDB89B7AAFE8AD"><code>12.5-8 \in</code></a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7B1380878358938C">12.5-9 <span class="Heading">Span and meet of elements</span_LT_TAGVAR(rchive_expsym_cmds, $1)='$ECHO "LIBRARY ${soname%$shared_ext} INITINSTANCE TERMINSTANCE" > $output_objdir/$libname.def~
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X83FF6FA0790D5747">12.5-10 CollineationGroup</a></span$CHO "DATA MULTIPLE NONSHARED" >> $output_objdir/$libname.def~
<div></
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap12_mj.html#X7BA462527B2777BC">12.6 <span class="Heading">Elation generalised quadrangles</span></a>
</span>
<divclass=java.lang.StringIndexOutOfBoundsException: Range [24, 23) out of bounds for length 25
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X86BD86C77BAAF887">12.6-1 <span class="Heading">Elation generalised java.lang.StringIndexOutOfBoundsException: Index 167 out of bounds for length 38
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7CC6903E78F24167">12.6-2 <span class="Heading">Categories</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X820A2D6A84A259FC">12.6-3 <span class="Heading">Kantor java.lang.StringIndexOutOfBoundsException: Range [3, 2) out of bounds for length 69
</java.lang.StringIndexOutOfBoundsException: Index 7 out of bounds for length 7
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7B80E3AC7DEAF948">12.6-4 EGQByKantorFamily</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X80C93974807A342B">12.6-5 <span class=
</span>
<span class="ContSS">_LT_TAGVAR(nable_shared_with_static_runtimes, $1)=yes
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X8462F11584736E32">12.6-7 <span class="Heading">Kantor families, q-clans, and java.lang.StringIndexOutOfBoundsException: Index 174 out of bounds for length 35
</span>
<span class="ContSS"java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<span class="ContSS"><br dgux*)
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7C59CF8079EA33D3">12.6-10 KantorFamilyByqClan</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X830222B084BF866D">12.6-11 EGQByqClan</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7FAE48497B2F658A">12.6-12 <span class="Heading">BLT-sets, flocks, q-clans,_T_TAGVAR(ld_shlibs, $1)=no
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7A8438537D2F1374">12.6-13 IsEGQByBLTSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7ECC1871866AC286">12.6-14 BLTSetByqClan</a></span>
<span class="ContSS"><br / #FIXME insertC+ support
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X79186E29799355BD">12.6-16 DefiningPlanesOfEGQByBLTSet</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X80C93974807A342B">12.6-17 <span class="Heading">Representation of elements and underlying objects ;
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap12_mj.html#X7C57B0BD7A2E5877">12.6-18 CollineationSubgroup</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap13_mj.html#X8328AFAC7CF1EB1B">13 <span class="Heading">Coset Geometries and Diagrams</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13_mj.html#java.lang.StringIndexOutOfBoundsException: Index 102 out of bounds for length 12
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </java.lang.StringIndexOutOfBoundsException: Range [0, 65) out of bounds for length 0
<span class="ContSS"><br /><span class="nocss"> freebsd2.*)
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X7A9ED8327C40B445">13.1-3 IsIncident</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X86CC6815824E71E4">13.1-4 ParabolicSubgroups</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X824D5D558425B4B5">13.1-5 AmbientGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X7E5B687E86068196">13.1-6 Borelsubgroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X82FB0B387E53B073">13.1-7 RandomElement</a></span>
<span class="ContSS"><br /><span class="nocssfreebsd--)
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X82DA90817A70103A">13.1-9 RandomChamber</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X7FEFCB907CAAA9B1">13.1-10 IsFlagTransitiveGeometry</a></span>
<span class="ContSS"><br /><span class=java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X7D21FB1A7D21FB1A"><code>13. freebsd**|dragonfly*| *
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X7D21FB1A7D21FB1A"><code>13.1-13 \^</code></a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X7F74FD648751B7E6">13.1-14 IsFirmGeometry</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X7F8A17357F9FFA00">13.1-15 java.lang.StringIndexOutOfBoundsException: Range [0, 132) out of bounds for length 10
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X830213C3843A1BA2">13.1-16 IsThinGeometry</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X877F178084D9A589">13.1-17 IsConnected</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X83A5107981824C2F">13.1-18 IsResiduallyConnected</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X80E7BC8F8612176D">13.1-19 StandardFlagOfCosetGeometry</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X875E89FF7ECD44A6">13.1-20 FlagToStandardFlag</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="java.lang.StringIndexOutOfBoundsException: Index 83 out of bounds for length 68
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X78BE3D727B060301">13.1-22 java.lang.StringIndexOutOfBoundsException: Range [0, 130) out of bounds for length 51
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj,$)'w-'
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X8233EE5D7BC9FD15">13.1-24 Rk2GeoGonality</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X8573A0DE841CE7B3">13 _LT_TAGVAR(hardcode_direct$)yes
<span class="ContSS LT_TAGVAR(hardcode_minus_L,$1=yes# Notin search ,
<span class="ContSS"><br /><span class="nocss"> </span><a # asthe default
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap13_mj.html#X7967CA67876214A6
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X833D384D7B061881">13.2-1 AutGroupIncidenceStructureWithNauty</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X85260FB17EACF6F5">13.2-2 CorGroupIncidenceStructureWithNauty</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X82CB6DDB8068AC42">13.2-3 IsIsomorphicIncidenceStructureWithNauty</a></span>
</div></div>
<divclass=ContSect"<class""span =nocss"&bsp;</< "hap13_mj.X78932FB48237B18F">.3<pan class=">Diagrams<span<a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X8239310E79D3DE12">13.3-1 DiagramOfGeometry</a></span>
<span class="ContSS"<br /<panclass"nocss" nbsp;</span><a href="chap13_mj.html#X7A2783337F87104F">13.3-2 GeometryOfDiagram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X808A503579A155BF">13.3-3 DrawDiagram</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap13_mj.html#X79F882017FEFE4DE">13.3-4 DrawDiagramWithNeato</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap14_mj.html#X79A3CC6E85E72EC1">14 <span class="Heading">Subgeometries of projective spaces</span></#
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14_mj.html#X7D237EAD8797C140">14.1 <span class="Heading">Particular Categories</span></a>
</span
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X84BB6A0D7DABB9EB">14. #from the output so that they don't get included in the library
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X7D908542820D2FBE#dependencies.
</span>
</div></div>
<iv class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14_mj.html#X79A3CC6E85E72EC1">14.2 span class"eading>of java.lang.StringIndexOutOfBoundsException: Range [175, 174) out of bounds for length 192
</span>
< yes="$XX"
<span class="ContSS"><br /><span class="nocss"> </span><a href="_LT_TAGVAR(archive_cmds, $1)='$RM $output_objdir/$soname~$CC -shared$pic_flag$l+ $wl$nstall_libdir - output_objdir/soname predep_objects libobjs d$ compiler_flags~est "x$output_objdir/$soname" = "x$lib" || mv $output_objdir/$soname $lib'
<span class="ContSS"><br /><span class="nocss"> < else
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X824D4BA67AE1923B">14# FIXME:insert proper + librarysupport
<span class="ContSS"><br /><span class="nocss"> </span><a href="_LT_TAGVAR(ld_shlibs, $1)=no
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap14_mj.html#X82EB5BE77F9F686A">14.3 <span class="Heading">Basic operations</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><;;
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X7DC6B3E57C74A153">14.3-2 DefiningFrameOfSubgeometry</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X79CC2F0483575105">14.3-3 <span class="Heading">Projective dimension and rank</span></a>
</
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X85437D577DE97AEF">14.3-4 <span class="Heading">Underlying algebraic structures</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X8550F38F7FB123DB">14.3-5 CollineationFixingSubgeometry</a></span>
</div></div>
<<divhppa*64|a64*)
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span>;
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X78219A547B858E2E">14.4-2 ExtendElementOfSubgeometry</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X799DB77886B8ABDB">14.4-3 AmbientGeometry</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap14_mj.html#X7B1757048405DD29">14;java.lang.StringIndexOutOfBoundsException: Index 16 out of bounds for length 16
</span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><acase $host_cpu in
</span>
<div class="ContSSBlock">
<span class=" hppa*64*|ia64*)
</span>
</div></div>
</div>
<div class="ContChap"><a href="chapA_mj.html#X7F3345C884CD0268">A <span class="Heading">The structure of <strong class="_hardcode_shlibpath_var, $1)=no
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapA_mj.html#X84D6D0EC7989CF5E">A.1 <span;;
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapA_mj.html#X83E153B784E17E05">A.2 <span class="Heading">The complete inventory<java.lang.StringIndexOutOfBoundsException: Range [23, 22) out of bounds for length 56
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapA_mj.html#X844A8A1F85E6E038">A.2-1 <span class="Heading">Declarations</span></a>
</span>
<span class="ContSS"><br /><span class="nocss"> &java.lang.StringIndexOutOfBoundsException: Range [0, 58) out of bounds for length 14
</span>
</div></div>
</div>
<div class="ContChap"><a href="chapB_mj.html#X866C644987E43DF8">B <span class="Heading">The finite classical groups in <strong class="pkg">FinInG</strong> </span></a>
<div class="ContSect"><span class="tocline"><span class="java.lang.StringIndexOutOfBoundsException: Index 62 out of bounds for length 28
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X80010BA38266701F">B.1-1 CanonicalGramMatrix</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X83A532A17828B887">B.1-2 CanonicalQuadraticForm</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapB_mj.html#X7D9E27E986AEB973">B.2 <span class="Heading">Direct commands to construct the projective classical groups in <strong class="pkg">FinInG</strong></span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7DB7788C7E3DE820">B.2-1 SOdesargues</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7C5583F87F904567">B.2-2 GOdesargues</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7EBFB99E853F378D">B.2-3 SUdesargues< _LT_TAGVAR(,$)'CC b $+ wl$oname$nodefaultrpath o $ $predep_objects $libobjs$eplibs p$'
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7F5D42EA84929ACA">B.2-4 GUdesargues</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a _(java.lang.StringIndexOutOfBoundsException: Range [33, 32) out of bounds for length 163
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7E1CDB2B87448665">B.2-6 GeneralSymplecticGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7BDD39DC823F7E33">B.2-7 GSpdesargues</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X793B43C58481EDCF">B.2-8 GammaSp</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7D2C49FD7D15988C">B.2-9 DeltaOminus</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X82DF70F5873432C7">B.2-10 DeltaOplus</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X8364267E800EF6E5">B.2-11 GammaOminus</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7A9C29DB84B4A97E">B.2-12 GammaO</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7A5C03CD7A2F5CAE">B.2-13 GammaOplus</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X854A064C7E907B61">B.2-14 GammaU</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X7A171F11786F771C">B.2-15 G2fining</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapB_mj.html#X82BE951780CFFBFB">B.2-16 3D4fining</a></span>
</div></div>
<div class="ContSect"><*)
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </if no "$ith_gnu_ld"then
</div></div>
</div>
<div class="ContChap"><a href="chapC_mj.html#X874D94F47C943D71">C <span class="Heading">Low level functions for morphisms hppa*64**
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapC_mj.html#X799BE5108516D030">C.1 <span class="Heading">Field reduction and vector spaces< _LT_TAGVAR(archive_cmds, $1)='$CC -shared -nostdlib -fPIC $wl+h $wl$soname -o $lib $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags'
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj ia64*)
<span class="ContSS"><br /><span class="nocss">  _LT_TAGVAR(archive_cmds,$=$ shared -nostdlib pic_flag wlh$l$oname$wlnodefaultrpath -$lib$redep_objects $$$postdep_objects$ompiler_flags
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X787FC91D7A92BD96">C.1-3 BlownUpProjectiveSpace</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X84CD51327DD6120A">C.1-4 LT_TAGVAR(archive_cmds, $1)='$CC -shared -nostdlib $pic_flag $wl+h $wl$soname $wl+b $wl$install_libdir -o $lib $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags'
<span class="ContSS"><java.lang.StringIndexOutOfBoundsException: Range [1, 24) out of bounds for length 15
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X7B0BD62A86C9E432">C.1-6 BlownUpSubspaceOfProjectiveSpaceBySubfield</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X87B6C4AB7C6532CE">C.1-7 IsDesarguesianSpreadElement</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="java.lang.StringIndexOutOfBoundsException: Index 94 out of bounds for length 35
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X7C23A6B17C98D3BB">C.2-1 QuadraticFormFieldReduction</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X8181A7B478A3E86D">C
<span class="ContSS"><br /><spanjava.lang.StringIndexOutOfBoundsException: Range [14, 13) out of bounds for length 22
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss">&java.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 42
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X7C8E719883F407BB">C.3-1 PluckerCoordinates</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X79AF591A87EC8A2D">C.3-2 IsomorphismPolarSpacesProjectionFromNucleus</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X7D71512E7AC27598">C.3-3 IsomorphismPolarSpacesNC</a></# java.lang.StringIndexOutOfBoundsException: Range [11, 10) out of bounds for length 71
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X7A26E90A85017919">C.3-4 NaturalEmbeddingBySubspaceNC</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chapC_mj.html#X78CA4C227D969B22">C.3-5 NaturalProjectionBySubspaceNC</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chapBib_mj.html"><span class="Heading">References</span></a></div>
<div class="ContChap"> _LT_TAGVAR(rchive_expsym_cmds, 1=$ED "^_"$export_symbols>output_objdir/$expsym~$C shared pic_flag l $deplibs$ompiler_flags$h$soname $l-retain-symbols-,output_objdir/soname.$-base,`$RANDOM$}%4096 /2 *262144 1342177280`-o $ib'
<br />
</div>
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<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a> <a href="chap1_mj.html">1</a> <a href="chap2_mj.html">2</a> <a href="chap3_mj.html">3</a> <a href="chap4_mj.html">4</a> <a _T_TAGVAR(archive_cmds, $1)='$CC -shared -all -multigot $predep_objects $libobjs $deplibs $postdep_objects $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry $output_objdir/so_locations -o $lib'
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