2015-07-01-121343.sagews

1+1

2

graphs.PetersenGraph()

Petersen graph: Graph on 10 vertices

G = SymmetricGroup(3)

G.an_element()^2

(1,3,2)

A = graphs.PetersenGraph()
A.plot()

A.adjacency_matrix()

[0 1 0 0 1 1 0 0 0 0] [1 0 1 0 0 0 1 0 0 0] [0 1 0 1 0 0 0 1 0 0] [0 0 1 0 1 0 0 0 1 0] [1 0 0 1 0 0 0 0 0 1] [1 0 0 0 0 0 0 1 1 0] [0 1 0 0 0 0 0 0 1 1] [0 0 1 0 0 1 0 0 0 1] [0 0 0 1 0 1 1 0 0 0] [0 0 0 0 1 0 1 1 0 0]

%maxima
1+1
factor(15)

2 3*5

show((x+3) / (x^2 + 2))

$\displaystyle \frac{x + 3}{x^{2} + 2}$

(x^2).plot()
%typeset_mode True
%typeset_mode True(x^2).plot()

CyclotomicField??

   File: /projects/sage/sage-6.7/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.py
   Source:
   class CyclotomicFieldFactory(UniqueFactory):
    r"""
    Return the `n`-th cyclotomic field, where n is a positive integer,
    or the universal cyclotomic field if ``n==0``.

    For the documentation of the universal cyclotomic field, see
    :class:`~sage.rings.universal_cyclotomic_field.UniversalCyclotomicField`.

    INPUT:

    -  ``n`` - a nonnegative integer, default:``0``

    -  ``names`` - name of generator (optional - defaults to zetan)

    - ``bracket`` - Defines the brackets in the case of ``n==0``, and
      is ignored otherwise. Can be any even length string, with ``"()"`` being the default.

    -  ``embedding`` - bool or n-th root of unity in an
       ambient field (default True)

    EXAMPLES:

    If called without a parameter, we get the :class:`universal cyclotomic
    field<sage.rings.universal_cyclotomic_field.UniversalCyclotomicField>`::

        sage: CyclotomicField()
        Universal Cyclotomic Field

    We create the `7`\th cyclotomic field
    `\QQ(\zeta_7)` with the default generator name.

    ::

        sage: k = CyclotomicField(7); k
        Cyclotomic Field of order 7 and degree 6
        sage: k.gen()
        zeta7

    The default embedding sends the generator to the complex primitive
    `n^{th}` root of unity of least argument.

    ::

        sage: CC(k.gen())
        0.623489801858734 + 0.781831482468030*I

    Cyclotomic fields are of a special type.

    ::

        sage: type(k)
        <class 'sage.rings.number_field.number_field.NumberField_cyclotomic_with_category'>

    We can specify a different generator name as follows.

    ::

        sage: k.<z7> = CyclotomicField(7); k
        Cyclotomic Field of order 7 and degree 6
        sage: k.gen()
        z7

    The `n` must be an integer.

    ::

        sage: CyclotomicField(3/2)
        Traceback (most recent call last):
        ...
        TypeError: no conversion of this rational to integer

    The degree must be nonnegative.

    ::

        sage: CyclotomicField(-1)
        Traceback (most recent call last):
        ...
        ValueError: n (=-1) must be a positive integer

    The special case `n=1` does *not* return the rational
    numbers::

        sage: CyclotomicField(1)
        Cyclotomic Field of order 1 and degree 1

    Due to their default embedding into `\CC`,
    cyclotomic number fields are all compatible.

    ::

        sage: cf30 = CyclotomicField(30)
        sage: cf5 = CyclotomicField(5)
        sage: cf3 = CyclotomicField(3)
        sage: cf30.gen() + cf5.gen() + cf3.gen()
        zeta30^6 + zeta30^5 + zeta30 - 1
        sage: cf6 = CyclotomicField(6) ; z6 = cf6.0
        sage: cf3 = CyclotomicField(3) ; z3 = cf3.0
        sage: cf3(z6)
        zeta3 + 1
        sage: cf6(z3)
        zeta6 - 1
        sage: cf9 = CyclotomicField(9) ; z9 = cf9.0
        sage: cf18 = CyclotomicField(18) ; z18 = cf18.0
        sage: cf18(z9)
        zeta18^2
        sage: cf9(z18)
        -zeta9^5
        sage: cf18(z3)
        zeta18^3 - 1
        sage: cf18(z6)
        zeta18^3
        sage: cf18(z6)**2
        zeta18^3 - 1
        sage: cf9(z3)
        zeta9^3
    """
    def create_key(self, n=0, names=None, embedding=True):
        r"""
        Create the unique key for the cyclotomic field specified by the
        parameters.

        TESTS::

            sage: CyclotomicField.create_key()
            (0, None, True)
        """
        n = ZZ(n)
        if n < 0:
            raise ValueError("n (=%s) must be a positive integer" % n)
        if n > 0:
            bracket = None
            if embedding is True:
                embedding = (2 * CLF.pi() * CLF.gen() / n).exp()
            if names is None:
                names = "zeta%s"%n
            names = sage.structure.parent_gens.normalize_names(1, names)

        return n, names, embedding

    def create_object(self, version, key, **extra_args):
        r"""
        Create the unique cyclotomic field defined by ``key``.

        TESTS::

            sage: CyclotomicField.create_object(None, (0, None, True))
            Universal Cyclotomic Field
        """
        n, names, embedding = key
        if n == 0:
            from sage.rings.universal_cyclotomic_field import UniversalCyclotomicField
            return UniversalCyclotomicField()
        else:
            return NumberField_cyclotomic(n, names, embedding=embedding)

K.<i> = CyclotomicField(4)
K

$$\Bold{Q}[i]/(i^{2} + 1)$$

i^2

$$-1$$

search_doc("chi")

html/ru/tutorial/tour_advanced.html:295:<span class="gp">sage: </span><span class="n">chi</span> <span class="o">=</span> <span class="n">G</span><span class="o">.</span><span class="mi">1</span><span class="p">;</span> <span class="n">chi</span> html/ru/tutorial/tour_advanced.html:297:<span class="gp">sage: </span><span class="n">chi</span><span class="o">.</span><span class="n">values</span><span class="p">()</span> html/ru/tutorial/tour_advanced.html:300:<span class="gp">sage: </span><span class="n">chi</span><span class="o">.</span><span class="n">conductor</span><span class="p">()</span> html/ru/tutorial/tour_advanced.html:302:<span class="gp">sage: </span><span class="n">chi</span><span class="o">.</span><span class="n">modulus</span><span class="p">()</span> html/ru/tutorial/tour_advanced.html:304:<span class="gp">sage: </span><span class="n">chi</span><span class="o">.</span><span class="n">order</span><span class="p">()</span> html/ru/tutorial/tour_advanced.html:306:<span class="gp">sage: </span><span class="n">chi</span><span class="p">(</span><span class="mi">19</span><span class="p">)</span> html/ru/tutorial/tour_advanced.html:308:<span class="gp">sage: </span><span class="n">chi</span><span class="p">(</span><span class="mi">40</span><span class="p">)</span> html/ru/tutorial/tour_advanced.html:314:<div class="highlight-python"><div class="highlight"><pre><span class="gp">sage: </span><span class="n">chi</span><span class="o">.</span><span class="n">galois_orbit</span><span class="p">()</span> html/ru/tutorial/tour_advanced.html:363:<span class="gp">sage: </span><span class="n">chi</span> <span class="o">=</span> <span class="n">G</span><span class="o">.</span><span class="mi">0</span><span class="p">;</span> <span class="n">chi</span> html/ru/tutorial/tour_advanced.html:365:<span class="gp">sage: </span><span class="p">[(</span><span class="n">chi</span><span class="o">^</span><span class="n">i</span><span class="p">)(</span><span 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html/en/reference/genindex-A.html:5988: <dt><a href="plane_curves/sage/schemes/elliptic_curves/ell_point.html#sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field.archimedean_local_height">archimedean_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)</a> html/en/reference/genindex-A.html:5992: <dt><a href="plane_curves/sage/schemes/elliptic_curves/ell_point.html#sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field.archimedian_local_height">archimedian_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)</a> html/en/reference/genindex-A.html:6984: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.asymptotic_moments">asymptotic_moments() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-A.html:7328: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton">Automaton (class in sage.combinat.finite_state_machine)</a> html/en/reference/genindex-Y.html:118: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubesTriangles.y_vertices">y_vertices (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles attribute)</a> html/en/reference/genindex-Y.html:122: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubesTriangles.y_vertices_swapped">y_vertices_swapped (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles attribute)</a> html/en/reference/genindex-Y.html:229: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.yrange">(sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-M.html:104: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.m0">m0() (sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-M.html:807: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.map">(sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-M.html:986: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes">MarchingCubes (class in sage.plot.plot3d.implicit_surface)</a> html/en/reference/genindex-M.html:990: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubesTriangles">MarchingCubesTriangles (class in sage.plot.plot3d.implicit_surface)</a> html/en/reference/genindex-M.html:1032: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.markov_chain_simplification">markov_chain_simplification() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-M.html:1040: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal">MarkovSwitchingMultifractal (class in sage.finance.markov_multifractal)</a> html/en/reference/genindex-M.html:1092: <dt><a href="homology/sage/homology/examples.html#sage.homology.examples.matching">matching() (in module sage.homology.examples)</a> html/en/reference/genindex-M.html:1097: <dt><a href="graphs/sage/graphs/graph.html#sage.graphs.graph.Graph.matching">(sage.graphs.graph.Graph method)</a> html/en/reference/genindex-M.html:1102: <dt><a href="graphs/sage/graphs/matchpoly.html#sage.graphs.matchpoly.matching_polynomial">matching_polynomial() (in module sage.graphs.matchpoly)</a> html/en/reference/genindex-M.html:1107: <dt><a href="graphs/sage/graphs/bipartite_graph.html#sage.graphs.bipartite_graph.BipartiteGraph.matching_polynomial">(sage.graphs.bipartite_graph.BipartiteGraph method)</a> html/en/reference/genindex-M.html:1111: <dt><a href="graphs/sage/graphs/graph.html#sage.graphs.graph.Graph.matching_polynomial">(sage.graphs.graph.Graph method)</a> html/en/reference/genindex-M.html:1116: <dt><a href="number_fields/sage/rings/number_field/number_field_morphisms.html#sage.rings.number_field.number_field_morphisms.matching_root">matching_root() (in module sage.rings.number_field.number_field_morphisms)</a> html/en/reference/genindex-M.html:1120: <dt><a href="homology/sage/homology/examples.html#sage.homology.examples.SimplicialComplexExamples.MatchingComplex">MatchingComplex() (sage.homology.examples.SimplicialComplexExamples method)</a> html/en/reference/genindex-M.html:1124: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame">MatchingGame (class in sage.game_theory.matching_game)</a> html/en/reference/genindex-M.html:1128: <dt><a href="combinat/sage/combinat/ncsym/ncsym.html#sage.combinat.ncsym.ncsym.matchings">matchings() (in module sage.combinat.ncsym.ncsym)</a> html/en/reference/genindex-M.html:2404: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.maximal_subgroups">maximal_subgroups() (in module sage.combinat.root_system.branching_rules)</a> html/en/reference/genindex-M.html:2688: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.merged_transitions">merged_transitions() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-M.html:3040: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton.minimization">minimization() (sage.combinat.finite_state_machine.Automaton method)</a> html/en/reference/genindex-M.html:4668: <dt><a href="sagenb/notebook/worksheet.html#sagenb.notebook.worksheet.Worksheet.move_to_archive">move_to_archive() (sagenb.notebook.worksheet.Worksheet method)</a> html/en/reference/genindex-N.html:924: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.nestings">nestings() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-N.html:928: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.nestings_iterator">nestings_iterator() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-N.html:1247: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator.next">(sage.combinat.finite_state_machine.FSMProcessIterator method)</a> html/en/reference/genindex-N.html:2354: <dt><a href="plane_curves/sage/schemes/elliptic_curves/ell_point.html#sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field.non_archimedean_local_height">non_archimedean_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)</a> html/en/reference/genindex-N.html:2386: <dt><a href="plane_curves/sage/schemes/elliptic_curves/ell_point.html#sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field.nonarchimedian_local_height">nonarchimedian_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)</a> html/en/reference/genindex-N.html:3520: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser.num_coeffs">num_coeffs() (sage.lfunctions.dokchitser.Dokchitser method)</a> html/en/reference/genindex-N.html:3694: <dt><a href="graphs/sage/graphs/pq_trees.html#sage.graphs.pq_trees.PQ.number_of_children">number_of_children() (sage.graphs.pq_trees.PQ method)</a> html/en/reference/genindex-N.html:3699: <dt><a href="interfaces/sage/interfaces/qepcad.html#sage.interfaces.qepcad.QepcadCell.number_of_children">(sage.interfaces.qepcad.QepcadCell method)</a> html/en/reference/genindex-N.html:3724: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.number_of_crossings">number_of_crossings() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-N.html:3790: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.number_of_loops">number_of_loops() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-N.html:3808: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.number_of_nestings">number_of_nestings() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-N.html:4316: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.nx">nx (sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-N.html:4320: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.ny">ny (sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-N.html:4324: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.nz">nz (sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-S.html:66: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule.s">s (sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule attribute)</a> html/en/reference/genindex-S.html:1464: <dt><a href="combinat/sage/combinat/finite_state_machine.html#module-sage.combinat.finite_state_machine">sage.combinat.finite_state_machine (module)</a> html/en/reference/genindex-S.html:1468: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#module-sage.combinat.finite_state_machine_generators">sage.combinat.finite_state_machine_generators (module)</a> html/en/reference/genindex-S.html:1652: <dt><a href="combinat/sage/combinat/perfect_matching.html#module-sage.combinat.perfect_matching">sage.combinat.perfect_matching (module)</a> html/en/reference/genindex-S.html:1836: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#module-sage.combinat.root_system.branching_rules">sage.combinat.root_system.branching_rules (module)</a> html/en/reference/genindex-S.html:2684: <dt><a href="game_theory/sage/game_theory/matching_game.html#module-sage.game_theory.matching_game">sage.game_theory.matching_game (module)</a> html/en/reference/genindex-S.html:3660: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#module-sage.lfunctions.dokchitser">sage.lfunctions.dokchitser (module)</a> html/en/reference/genindex-S.html:9346: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser.set_coeff_growth">set_coeff_growth() (sage.lfunctions.dokchitser.Dokchitser method)</a> html/en/reference/genindex-S.html:9412: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.set_coordinates">set_coordinates() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-S.html:10728: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.setup_latex_preamble">setup_latex_preamble() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-S.html:11515: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.sigma">(sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-S.html:12044: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Transducer.simplification">simplification() (sage.combinat.finite_state_machine.Transducer method)</a> html/en/reference/genindex-S.html:12178: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.simulation">simulation() (sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-S.html:12187: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.simulations">(sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-S.html:12515: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.size">(sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-S.html:12740: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubesTriangles.slices">slices (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles attribute)</a> html/en/reference/genindex-S.html:12941: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.smooth">(sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-S.html:13057: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame.solve">(sage.game_theory.matching_game.MatchingGame method)</a> html/en/reference/genindex-S.html:13888: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.split_transitions">split_transitions() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-S.html:14858: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.startswith">startswith() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-S.html:14872: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.state">state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-S.html:14892: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.states">states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-S.html:15586: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.BranchingRule.Stype">Stype() (sage.combinat.root_system.branching_rules.BranchingRule method)</a> html/en/reference/genindex-S.html:15594: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.sub">sub() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-S.html:16352: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame.suitors">suitors() (sage.game_theory.matching_game.MatchingGame method)</a> html/en/reference/genindex-H.html:566: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_final_state">has_final_state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-H.html:570: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_final_states">has_final_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-H.html:624: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_initial_state">has_initial_state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-H.html:628: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_initial_states">has_initial_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-H.html:944: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_state">has_state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-H.html:976: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_transition">has_transition() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-W.html:94: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.Wait">Wait() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-W.html:501: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.weight">(sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-W.html:796: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.Weingarten_function">Weingarten_function() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-W.html:800: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatchings.Weingarten_matrix">Weingarten_matrix() (sage.combinat.perfect_matching.PerfectMatchings method)</a> html/en/reference/genindex-W.html:1028: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.with_final_word_out">with_final_word_out() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-W.html:1036: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton.with_output">with_output() (sage.combinat.finite_state_machine.Automaton method)</a> html/en/reference/genindex-W.html:1166: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMTransition.word_in">word_in (sage.combinat.finite_state_machine.FSMTransition attribute)</a> html/en/reference/genindex-W.html:1174: <dt><a href="combinat/sage/combinat/words/word.html#sage.combinat.words.word.Word_iter_with_caching">Word_iter_with_caching (class in sage.combinat.words.word)</a> html/en/reference/genindex-W.html:1182: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMTransition.word_out">word_out (sage.combinat.finite_state_machine.FSMTransition attribute)</a> html/en/reference/genindex-W.html:1238: <dt><a href="combinat/sage/combinat/words/word_infinite_datatypes.html#sage.combinat.words.word_infinite_datatypes.WordDatatype_callable_with_caching">WordDatatype_callable_with_caching (class in sage.combinat.words.word_infinite_datatypes)</a> html/en/reference/genindex-W.html:1250: <dt><a href="combinat/sage/combinat/words/word_infinite_datatypes.html#sage.combinat.words.word_infinite_datatypes.WordDatatype_iter_with_caching">WordDatatype_iter_with_caching (class in sage.combinat.words.word_infinite_datatypes)</a> html/en/reference/genindex-W.html:1274: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.wordoftuples_to_tupleofwords">wordoftuples_to_tupleofwords() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:130: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.__call__">__call__() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:1382: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.abs">abs() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:1764: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator.accept_input">accept_input (sage.combinat.finite_state_machine.FSMProcessIterator attribute)</a> html/en/reference/genindex-all.html:1772: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.accessible_components">accessible_components() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:1923: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.add">(sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:2250: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.add_from_transition_function">add_from_transition_function() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:2416: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame.add_reviewer">add_reviewer() (sage.game_theory.matching_game.MatchingGame method)</a> html/en/reference/genindex-all.html:2468: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.add_state">add_state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:2476: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.add_states">add_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:2488: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame.add_suitor">add_suitor() (sage.game_theory.matching_game.MatchingGame method)</a> html/en/reference/genindex-all.html:2520: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.add_transition">add_transition() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:2524: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.add_transitions_from_function">add_transitions_from_function() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:2528: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubesTriangles.add_triangle">add_triangle() (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles method)</a> html/en/reference/genindex-all.html:3104: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.adjacency_matrix">adjacency_matrix() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:4326: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.all">all() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:4360: <dt><a href="combinat/sage/combinat/enumeration_mod_permgroup.html#sage.combinat.enumeration_mod_permgroup.all_children">all_children() (in module sage.combinat.enumeration_mod_permgroup)</a> html/en/reference/genindex-all.html:5265: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatchings.an_element">(sage.combinat.perfect_matching.PerfectMatchings method)</a> html/en/reference/genindex-all.html:5872: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.any">any() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:5946: <dt><a href="graphs/sage/graphs/schnyder.html#sage.graphs.schnyder.TreeNode.append_child">append_child() (sage.graphs.schnyder.TreeNode method)</a> html/en/reference/genindex-all.html:6420: <dt><a href="plane_curves/sage/schemes/elliptic_curves/ell_point.html#sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field.archimedean_local_height">archimedean_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)</a> html/en/reference/genindex-all.html:6424: <dt><a href="plane_curves/sage/schemes/elliptic_curves/ell_point.html#sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field.archimedian_local_height">archimedian_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)</a> html/en/reference/genindex-all.html:7416: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.asymptotic_moments">asymptotic_moments() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:7760: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton">Automaton (class in sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:8067: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.b">(sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-all.html:10170: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame.bipartite_graph">bipartite_graph() (sage.game_theory.matching_game.MatchingGame method)</a> html/en/reference/genindex-all.html:11098: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.BranchingRule.branch">branch() (sage.combinat.root_system.branching_rules.BranchingRule method)</a> html/en/reference/genindex-all.html:11112: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.branch_weyl_character">branch_weyl_character() (in module sage.combinat.root_system.branching_rules)</a> html/en/reference/genindex-all.html:11116: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.branching_rule">branching_rule() (in module sage.combinat.root_system.branching_rules)</a> html/en/reference/genindex-all.html:11120: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.branching_rule_from_plethysm">branching_rule_from_plethysm() (in module sage.combinat.root_system.branching_rules)</a> html/en/reference/genindex-all.html:11124: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.BranchingRule">BranchingRule (class in sage.combinat.root_system.branching_rules)</a> html/en/reference/genindex-all.html:11818: <dt><a href="combinat/sage/combinat/enumeration_mod_permgroup.html#sage.combinat.enumeration_mod_permgroup.canonical_children">canonical_children() (in module sage.combinat.enumeration_mod_permgroup)</a> html/en/reference/genindex-all.html:12319: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatchings.cardinality">(sage.combinat.perfect_matching.PerfectMatchings method)</a> html/en/reference/genindex-all.html:13147: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton.cartesian_product">(sage.combinat.finite_state_machine.Automaton method)</a> html/en/reference/genindex-all.html:13151: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Transducer.cartesian_product">(sage.combinat.finite_state_machine.Transducer method)</a> html/en/reference/genindex-all.html:15188: <dt><a href="sagenb/notebook/worksheet.html#sagenb.notebook.worksheet.Worksheet.check_for_system_switching">check_for_system_switching() (sagenb.notebook.worksheet.Worksheet method)</a> html/en/reference/genindex-all.html:15192: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser.check_functional_equation">check_functional_equation() (sage.lfunctions.dokchitser.Dokchitser method)</a> html/en/reference/genindex-all.html:15276: <dt><a href="combinat/sage/combinat/ncsf_qsym/ncsf.html#sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Bases.ElementMethods.chi">chi() (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Bases.ElementMethods method)</a> html/en/reference/genindex-all.html:15281: <dt><a href="modfrm/sage/modular/modform/element.html#sage.modular.modform.element.EisensteinSeries.chi">(sage.modular.modform.element.EisensteinSeries method)</a> html/en/reference/genindex-all.html:15285: <dt><a href="modmisc/sage/modular/overconvergent/weightspace.html#sage.modular.overconvergent.weightspace.AlgebraicWeight.chi">(sage.modular.overconvergent.weightspace.AlgebraicWeight method)</a> html/en/reference/genindex-all.html:15289: <dt><a href="schemes/sage/schemes/toric/variety.html#sage.schemes.toric.variety.ToricVariety_field.chi">(sage.schemes.toric.variety.ToricVariety_field method)</a> html/en/reference/genindex-all.html:15294: <dt><a href="combinat/sage/combinat/backtrack.html#sage.combinat.backtrack.PositiveIntegerSemigroup.children">children() (sage.combinat.backtrack.PositiveIntegerSemigroup method)</a> html/en/reference/genindex-all.html:15299: <dt><a href="combinat/sage/combinat/backtrack.html#sage.combinat.backtrack.SearchForest.children">(sage.combinat.backtrack.SearchForest method)</a> html/en/reference/genindex-all.html:15303: <dt><a href="combinat/sage/combinat/integer_vectors_mod_permgroup.html#sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_All.children">(sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_All method)</a> html/en/reference/genindex-all.html:15307: <dt><a href="combinat/sage/combinat/integer_vectors_mod_permgroup.html#sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_with_constraints.children">(sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_with_constraints method)</a> html/en/reference/genindex-all.html:15311: <dt><a href="combinat/sage/combinat/subsets_pairwise.html#sage.combinat.subsets_pairwise.PairwiseCompatibleSubsets.children">(sage.combinat.subsets_pairwise.PairwiseCompatibleSubsets method)</a> html/en/reference/genindex-all.html:15316: <dt><a href="coding/sage/coding/linear_code.html#sage.coding.linear_code.AbstractLinearCode.chinen_polynomial">chinen_polynomial() (sage.coding.linear_code.AbstractLinearCode method)</a> html/en/reference/genindex-all.html:15320: <dt><a href="libs/sage/libs/pari/gen.html#sage.libs.pari.gen.gen_auto.chinese">chinese() (sage.libs.pari.gen.gen_auto method)</a> html/en/reference/genindex-all.html:17293: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.color_function">(sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:17331: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.colormap">(sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:18434: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.composition">composition() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:18588: <dt><a href="graphs/sage/graphs/schnyder.html#sage.graphs.schnyder.TreeNode.compute_depth_of_self_and_children">compute_depth_of_self_and_children() (sage.graphs.schnyder.TreeNode method)</a> html/en/reference/genindex-all.html:18732: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.concatenation">concatenation() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:19174: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.conjugate_by_permutation">conjugate_by_permutation() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:19586: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.construct_final_word_out">construct_final_word_out() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:20080: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.contour">contour (sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:20793: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState.copy">(sage.combinat.finite_state_machine.FSMState method)</a> html/en/reference/genindex-all.html:20797: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMTransition.copy">(sage.combinat.finite_state_machine.FSMTransition method)</a> html/en/reference/genindex-all.html:20801: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.copy">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:21450: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.CountSubblockOccurrences">CountSubblockOccurrences() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:22240: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.crossings">crossings() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:22244: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.crossings_iterator">crossings_iterator() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:22650: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator.current_state">current_state (sage.combinat.finite_state_machine.FSMProcessIterator attribute)</a> html/en/reference/genindex-all.html:23560: <dt><a href="combinat/sage/combinat/interval_posets.html#sage.combinat.interval_posets.TamariIntervalPoset.decreasing_children">decreasing_children() (sage.combinat.interval_posets.TamariIntervalPoset method)</a> html/en/reference/genindex-all.html:23620: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.deepcopy">deepcopy() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:23625: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState.deepcopy">(sage.combinat.finite_state_machine.FSMState method)</a> html/en/reference/genindex-all.html:23629: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMTransition.deepcopy">(sage.combinat.finite_state_machine.FSMTransition method)</a> html/en/reference/genindex-all.html:23672: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.default_format_transition_label">default_format_transition_label() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:24748: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.delete_state">delete_state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:24756: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.delete_transition">delete_transition() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:25387: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser.derivative">(sage.lfunctions.dokchitser.Dokchitser method)</a> html/en/reference/genindex-all.html:25566: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.BranchingRule.describe">describe() (sage.combinat.root_system.branching_rules.BranchingRule method)</a> html/en/reference/genindex-all.html:25770: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.determine_alphabets">determine_alphabets() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:25774: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton.determinisation">determinisation() (sage.combinat.finite_state_machine.Automaton method)</a> html/en/reference/genindex-all.html:26419: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.digraph">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:27390: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.disjoint_union">disjoint_union() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:28184: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser">Dokchitser (class in sage.lfunctions.dokchitser)</a> html/en/reference/genindex-all.html:28188: <dt><a href="plane_curves/sage/schemes/elliptic_curves/lseries_ell.html#sage.schemes.elliptic_curves.lseries_ell.Lseries_ell.dokchitser">dokchitser() (sage.schemes.elliptic_curves.lseries_ell.Lseries_ell method)</a> html/en/reference/genindex-all.html:29186: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.duplicate_transition_add_input">duplicate_transition_add_input() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:29190: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.duplicate_transition_ignore">duplicate_transition_ignore() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:29194: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.duplicate_transition_raise_error">duplicate_transition_raise_error() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:30677: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatchings.Element">(sage.combinat.perfect_matching.PerfectMatchings attribute)</a> html/en/reference/genindex-all.html:32358: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.empty_copy">empty_copy() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:33139: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.epsilon_successors">epsilon_successors() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:33143: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.equal">equal() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:33209: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.equivalence_classes">equivalence_classes() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:36917: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.final_components">final_components() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:36939: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.final_states">final_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:36953: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState.final_word_out">final_word_out (sage.combinat.finite_state_machine.FSMState attribute)</a> html/en/reference/genindex-all.html:37225: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.finish">finish() (sage.plot.plot3d.implicit_surface.MarchingCubes method)</a> html/en/reference/genindex-all.html:37793: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine">FiniteStateMachine (class in sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:37797: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.default_format_letter">FiniteStateMachine.default_format_letter() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:37801: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.format_letter">FiniteStateMachine.format_letter() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:37829: <dt><a href="combinat/sage/combinat/words/word.html#sage.combinat.words.word.FiniteWord_callable_with_caching">FiniteWord_callable_with_caching (class in sage.combinat.words.word)</a> html/en/reference/genindex-all.html:37845: <dt><a href="combinat/sage/combinat/words/word.html#sage.combinat.words.word.FiniteWord_iter_with_caching">FiniteWord_iter_with_caching (class in sage.combinat.words.word)</a> html/en/reference/genindex-all.html:37869: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_2d_callable_with_caching">FiniteWordPath_2d_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:37877: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_2d_iter_with_caching">FiniteWordPath_2d_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:37901: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_3d_callable_with_caching">FiniteWordPath_3d_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:37909: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_3d_iter_with_caching">FiniteWordPath_3d_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:37933: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_all_callable_with_caching">FiniteWordPath_all_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:37941: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_all_iter_with_caching">FiniteWordPath_all_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:37965: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_cube_grid_callable_with_caching">FiniteWordPath_cube_grid_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:37973: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_cube_grid_iter_with_caching">FiniteWordPath_cube_grid_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:37997: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_dyck_callable_with_caching">FiniteWordPath_dyck_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38005: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_dyck_iter_with_caching">FiniteWordPath_dyck_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38029: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_hexagonal_grid_callable_with_caching">FiniteWordPath_hexagonal_grid_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38037: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_hexagonal_grid_iter_with_caching">FiniteWordPath_hexagonal_grid_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38061: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_north_east_callable_with_caching">FiniteWordPath_north_east_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38069: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_north_east_iter_with_caching">FiniteWordPath_north_east_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38093: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_square_grid_callable_with_caching">FiniteWordPath_square_grid_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38101: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_square_grid_iter_with_caching">FiniteWordPath_square_grid_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38125: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_triangle_grid_callable_with_caching">FiniteWordPath_triangle_grid_callable_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38133: <dt><a href="combinat/sage/combinat/words/paths.html#sage.combinat.words.paths.FiniteWordPath_triangle_grid_iter_with_caching">FiniteWordPath_triangle_grid_iter_with_caching (class in sage.combinat.words.paths)</a> html/en/reference/genindex-all.html:38648: <dt><a href="combinat/sage/combinat/words/word_infinite_datatypes.html#sage.combinat.words.word_infinite_datatypes.WordDatatype_callable_with_caching.flush">(sage.combinat.words.word_infinite_datatypes.WordDatatype_callable_with_caching method)</a> html/en/reference/genindex-all.html:38652: <dt><a href="combinat/sage/combinat/words/word_infinite_datatypes.html#sage.combinat.words.word_infinite_datatypes.WordDatatype_iter_with_caching.flush">(sage.combinat.words.word_infinite_datatypes.WordDatatype_iter_with_caching method)</a> html/en/reference/genindex-all.html:38857: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.format_letter_negative">format_letter_negative() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:38885: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.format_transition_label">format_transition_label() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:38889: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.format_transition_label_reversed">format_transition_label_reversed() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:40301: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMTransition.from_state">from_state (sage.combinat.finite_state_machine.FSMTransition attribute)</a> html/en/reference/genindex-all.html:40381: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMLetterSymbol">FSMLetterSymbol() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:40385: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator">FSMProcessIterator (class in sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:40389: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator.Current">FSMProcessIterator.Current (class in sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:40393: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState">FSMState (class in sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:40397: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMTransition">FSMTransition (class in sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:40401: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMWordSymbol">FSMWordSymbol() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:40423: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.full_group_by">full_group_by() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:40477: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState.fully_equal">fully_equal() (sage.combinat.finite_state_machine.FSMState method)</a> html/en/reference/genindex-all.html:41438: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.gamma">(sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-all.html:41545: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.gamma_kbar">gamma_kbar() (sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-all.html:42641: <dt><a href="coding/sage/coding/binary_code.html#sage.coding.binary_code.BinaryCodeClassifier.generate_children">generate_children() (sage.coding.binary_code.BinaryCodeClassifier method)</a> html/en/reference/genindex-all.html:43739: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.get_branching_rule">get_branching_rule() (in module sage.combinat.root_system.branching_rules)</a> html/en/reference/genindex-all.html:45004: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser.gp">(sage.lfunctions.dokchitser.Dokchitser method)</a> html/en/reference/genindex-all.html:45228: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.gradient">(sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:45312: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.graph">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:45537: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.GrayCode">GrayCode() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:46565: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_final_state">has_final_state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:46569: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_final_states">has_final_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:46623: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_initial_state">has_initial_state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:46627: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_initial_states">has_initial_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:46943: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_state">has_state() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:46975: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.has_transition">has_transition() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:49433: <dt><a href="libs/sage/libs/pari/gen.html#sage.libs.pari.gen.gen.idealchinese">idealchinese() (sage.libs.pari.gen.gen method)</a> html/en/reference/genindex-all.html:49438: <dt><a href="libs/sage/libs/pari/gen.html#sage.libs.pari.gen.gen_auto.idealchinese">(sage.libs.pari.gen.gen_auto method)</a> html/en/reference/genindex-all.html:49651: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.Identity">Identity() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:50395: <dt><a href="combinat/sage/combinat/interval_posets.html#sage.combinat.interval_posets.TamariIntervalPoset.increasing_children">increasing_children() (sage.combinat.interval_posets.TamariIntervalPoset method)</a> html/en/reference/genindex-all.html:50881: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.induced_sub_finite_state_machine">induced_sub_finite_state_machine() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:51073: <dt><a href="combinat/sage/combinat/words/word.html#sage.combinat.words.word.InfiniteWord_callable_with_caching">InfiniteWord_callable_with_caching (class in sage.combinat.words.word)</a> html/en/reference/genindex-all.html:51085: <dt><a href="combinat/sage/combinat/words/word.html#sage.combinat.words.word.InfiniteWord_iter_with_caching">InfiniteWord_iter_with_caching (class in sage.combinat.words.word)</a> html/en/reference/genindex-all.html:51195: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser.init_coeffs">init_coeffs() (sage.lfunctions.dokchitser.Dokchitser method)</a> html/en/reference/genindex-all.html:51307: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.initial_states">initial_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:51513: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.input_alphabet">input_alphabet (sage.combinat.finite_state_machine.FiniteStateMachine attribute)</a> html/en/reference/genindex-all.html:51529: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.input_projection">input_projection() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:52626: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton.intersection">(sage.combinat.finite_state_machine.Automaton method)</a> html/en/reference/genindex-all.html:52630: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.intersection">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:52634: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Transducer.intersection">(sage.combinat.finite_state_machine.Transducer method)</a> html/en/reference/genindex-all.html:53871: <dt><a href="sagenb/notebook/worksheet.html#sagenb.notebook.worksheet.Worksheet.is_archived">is_archived() (sagenb.notebook.worksheet.Worksheet method)</a> html/en/reference/genindex-all.html:53975: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.is_Automaton">is_Automaton() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:54498: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.is_complete">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:54624: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.is_connected">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:54947: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.is_deterministic">is_deterministic() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:55853: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState.is_final">is_final (sage.combinat.finite_state_machine.FSMState attribute)</a> html/en/reference/genindex-all.html:56123: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.is_FiniteStateMachine">is_FiniteStateMachine() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:56209: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.is_FSMProcessIterator">is_FSMProcessIterator() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:56213: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.is_FSMState">is_FSMState() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:56217: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.is_FSMTransition">is_FSMTransition() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:56975: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState.is_initial">is_initial (sage.combinat.finite_state_machine.FSMState attribute)</a> html/en/reference/genindex-all.html:57889: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.is_Markov_chain">is_Markov_chain() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:58065: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.is_monochromatic">is_monochromatic() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:58411: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.is_non_crossing">is_non_crossing() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:58415: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.is_non_nesting">is_non_nesting() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:60825: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.is_Transducer">is_Transducer() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:62025: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.iter_final_states">iter_final_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:62029: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.iter_initial_states">iter_initial_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:62053: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.iter_process">iter_process() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:62057: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.iter_states">iter_states() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:62061: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.iter_transitions">iter_transitions() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:62853: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule.K">K (sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule attribute)</a> html/en/reference/genindex-all.html:62857: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule.k">k (sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule attribute)</a> html/en/reference/genindex-all.html:63023: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.kbar">kbar() (sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-all.html:63237: <dt><a href="constants/sage/symbolic/constants.html#sage.symbolic.constants.Khinchin">Khinchin (class in sage.symbolic.constants)</a> html/en/reference/genindex-all.html:63411: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.Kleene_closure">Kleene_closure() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:64006: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState.label">(sage.combinat.finite_state_machine.FSMState method)</a> html/en/reference/genindex-all.html:64446: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.latex_options">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:68695: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.loop_type">loop_type() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:68703: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.loops">loops() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:68729: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.loops_iterator">loops_iterator() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:69177: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal.m0">m0() (sage.finance.markov_multifractal.MarkovSwitchingMultifractal method)</a> html/en/reference/genindex-all.html:69880: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.map">(sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:70059: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes">MarchingCubes (class in sage.plot.plot3d.implicit_surface)</a> html/en/reference/genindex-all.html:70063: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubesTriangles">MarchingCubesTriangles (class in sage.plot.plot3d.implicit_surface)</a> html/en/reference/genindex-all.html:70105: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.markov_chain_simplification">markov_chain_simplification() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:70113: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.markov_multifractal.MarkovSwitchingMultifractal">MarkovSwitchingMultifractal (class in sage.finance.markov_multifractal)</a> html/en/reference/genindex-all.html:70165: <dt><a href="homology/sage/homology/examples.html#sage.homology.examples.matching">matching() (in module sage.homology.examples)</a> html/en/reference/genindex-all.html:70170: <dt><a href="graphs/sage/graphs/graph.html#sage.graphs.graph.Graph.matching">(sage.graphs.graph.Graph method)</a> html/en/reference/genindex-all.html:70175: <dt><a href="graphs/sage/graphs/matchpoly.html#sage.graphs.matchpoly.matching_polynomial">matching_polynomial() (in module sage.graphs.matchpoly)</a> html/en/reference/genindex-all.html:70180: <dt><a href="graphs/sage/graphs/bipartite_graph.html#sage.graphs.bipartite_graph.BipartiteGraph.matching_polynomial">(sage.graphs.bipartite_graph.BipartiteGraph method)</a> html/en/reference/genindex-all.html:70184: <dt><a href="graphs/sage/graphs/graph.html#sage.graphs.graph.Graph.matching_polynomial">(sage.graphs.graph.Graph method)</a> html/en/reference/genindex-all.html:70189: <dt><a href="number_fields/sage/rings/number_field/number_field_morphisms.html#sage.rings.number_field.number_field_morphisms.matching_root">matching_root() (in module sage.rings.number_field.number_field_morphisms)</a> html/en/reference/genindex-all.html:70193: <dt><a href="homology/sage/homology/examples.html#sage.homology.examples.SimplicialComplexExamples.MatchingComplex">MatchingComplex() (sage.homology.examples.SimplicialComplexExamples method)</a> html/en/reference/genindex-all.html:70197: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame">MatchingGame (class in sage.game_theory.matching_game)</a> html/en/reference/genindex-all.html:70201: <dt><a href="combinat/sage/combinat/ncsym/ncsym.html#sage.combinat.ncsym.ncsym.matchings">matchings() (in module sage.combinat.ncsym.ncsym)</a> html/en/reference/genindex-all.html:71477: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.maximal_subgroups">maximal_subgroups() (in module sage.combinat.root_system.branching_rules)</a> html/en/reference/genindex-all.html:71761: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.merged_transitions">merged_transitions() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:72113: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton.minimization">minimization() (sage.combinat.finite_state_machine.Automaton method)</a> html/en/reference/genindex-all.html:73741: <dt><a href="sagenb/notebook/worksheet.html#sagenb.notebook.worksheet.Worksheet.move_to_archive">move_to_archive() (sagenb.notebook.worksheet.Worksheet method)</a> html/en/reference/genindex-all.html:75391: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.nestings">nestings() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:75395: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.nestings_iterator">nestings_iterator() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:75714: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator.next">(sage.combinat.finite_state_machine.FSMProcessIterator method)</a> html/en/reference/genindex-all.html:76821: <dt><a href="plane_curves/sage/schemes/elliptic_curves/ell_point.html#sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field.non_archimedean_local_height">non_archimedean_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)</a> html/en/reference/genindex-all.html:76853: <dt><a href="plane_curves/sage/schemes/elliptic_curves/ell_point.html#sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field.nonarchimedian_local_height">nonarchimedian_local_height() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method)</a> html/en/reference/genindex-all.html:77987: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser.num_coeffs">num_coeffs() (sage.lfunctions.dokchitser.Dokchitser method)</a> html/en/reference/genindex-all.html:78161: <dt><a href="graphs/sage/graphs/pq_trees.html#sage.graphs.pq_trees.PQ.number_of_children">number_of_children() (sage.graphs.pq_trees.PQ method)</a> html/en/reference/genindex-all.html:78166: <dt><a href="interfaces/sage/interfaces/qepcad.html#sage.interfaces.qepcad.QepcadCell.number_of_children">(sage.interfaces.qepcad.QepcadCell method)</a> html/en/reference/genindex-all.html:78191: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.number_of_crossings">number_of_crossings() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:78257: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.number_of_loops">number_of_loops() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:78275: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.number_of_nestings">number_of_nestings() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:78783: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.nx">nx (sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:78787: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.ny">ny (sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:78791: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.nz">nz (sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:79503: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.on_duplicate_transition">on_duplicate_transition() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:80015: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.operator">operator() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:80951: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.output_alphabet">output_alphabet (sage.combinat.finite_state_machine.FiniteStateMachine attribute)</a> html/en/reference/genindex-all.html:80967: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.output_projection">output_projection() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:80975: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator.output_tape">output_tape (sage.combinat.finite_state_machine.FSMProcessIterator attribute)</a> html/en/reference/genindex-all.html:82625: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching.partner">partner() (sage.combinat.perfect_matching.PerfectMatching method)</a> html/en/reference/genindex-all.html:82817: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatching">PerfectMatching (class in sage.combinat.perfect_matching)</a> html/en/reference/genindex-all.html:82821: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatchings">PerfectMatchings (class in sage.combinat.perfect_matching)</a> html/en/reference/genindex-all.html:83807: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.Player">Player (class in sage.game_theory.matching_game)</a> html/en/reference/genindex-all.html:83856: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.plot">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:83924: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame.plot">(sage.game_theory.matching_game.MatchingGame method)</a> html/en/reference/genindex-all.html:85133: <dt><a href="libs/sage/libs/pari/gen.html#sage.libs.pari.gen.gen_auto.poltschirnhaus">poltschirnhaus() (sage.libs.pari.gen.gen_auto method)</a> html/en/reference/genindex-all.html:86831: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.predecessors">predecessors() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:86991: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.prepone_output">prepone_output() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:87057: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator.preview_word">preview_word() (sage.combinat.finite_state_machine.FSMProcessIterator method)</a> html/en/reference/genindex-all.html:87743: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Automaton.process">process() (sage.combinat.finite_state_machine.Automaton method)</a> html/en/reference/genindex-all.html:87748: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.process">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:87752: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.Transducer.process">(sage.combinat.finite_state_machine.Transducer method)</a> html/en/reference/genindex-all.html:87769: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubesTriangles.process_cubes">process_cubes() (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles method)</a> html/en/reference/genindex-all.html:87811: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubesTriangles.process_slice">process_slice() (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles method)</a> html/en/reference/genindex-all.html:87991: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.product_FiniteStateMachine">product_FiniteStateMachine() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:88211: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.projection">projection() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:90375: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.quotient">(sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:90554: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule.r">r (sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule attribute)</a> html/en/reference/genindex-all.html:90959: <dt><a href="combinat/sage/combinat/perfect_matching.html#sage.combinat.perfect_matching.PerfectMatchings.random_element">(sage.combinat.perfect_matching.PerfectMatchings method)</a> html/en/reference/genindex-all.html:91986: <dt><a href="cryptography/sage/crypto/classical.html#sage.crypto.classical.AffineCryptosystem.rank_by_chi_square">rank_by_chi_square() (sage.crypto.classical.AffineCryptosystem method)</a> html/en/reference/genindex-all.html:91991: <dt><a href="cryptography/sage/crypto/classical.html#sage.crypto.classical.ShiftCryptosystem.rank_by_chi_square">(sage.crypto.classical.ShiftCryptosystem method)</a> html/en/reference/genindex-all.html:93080: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.Recursion">Recursion() (sage.combinat.finite_state_machine_generators.TransducerGenerators method)</a> html/en/reference/genindex-all.html:93300: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.reduce_load_dokchitser">reduce_load_dokchitser() (in module sage.lfunctions.dokchitser)</a> html/en/reference/genindex-all.html:93911: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.region">(sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:94126: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.relabeled">relabeled() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:94131: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMState.relabeled">(sage.combinat.finite_state_machine.FSMState method)</a> html/en/reference/genindex-all.html:94432: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.remove_epsilon_transitions">remove_epsilon_transitions() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:95544: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FSMProcessIterator.result">result() (sage.combinat.finite_state_machine.FSMProcessIterator method)</a> html/en/reference/genindex-all.html:95596: <dt><a href="plot3d/sage/plot/plot3d/implicit_surface.html#sage.plot.plot3d.implicit_surface.MarchingCubes.results">results (sage.plot.plot3d.implicit_surface.MarchingCubes attribute)</a> html/en/reference/genindex-all.html:95880: <dt><a href="game_theory/sage/game_theory/matching_game.html#sage.game_theory.matching_game.MatchingGame.reviewers">reviewers() (sage.game_theory.matching_game.MatchingGame method)</a> html/en/reference/genindex-all.html:97372: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#sage.combinat.root_system.branching_rules.BranchingRule.Rtype">Rtype() (sage.combinat.root_system.branching_rules.BranchingRule method)</a> html/en/reference/genindex-all.html:97518: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule.s">s (sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule attribute)</a> html/en/reference/genindex-all.html:98916: <dt><a href="combinat/sage/combinat/finite_state_machine.html#module-sage.combinat.finite_state_machine">sage.combinat.finite_state_machine (module)</a> html/en/reference/genindex-all.html:98920: <dt><a href="combinat/sage/combinat/finite_state_machine_generators.html#module-sage.combinat.finite_state_machine_generators">sage.combinat.finite_state_machine_generators (module)</a> html/en/reference/genindex-all.html:99104: <dt><a href="combinat/sage/combinat/perfect_matching.html#module-sage.combinat.perfect_matching">sage.combinat.perfect_matching (module)</a> html/en/reference/genindex-all.html:99288: <dt><a href="combinat/sage/combinat/root_system/branching_rules.html#module-sage.combinat.root_system.branching_rules">sage.combinat.root_system.branching_rules (module)</a> html/en/reference/genindex-all.html:100136: <dt><a href="game_theory/sage/game_theory/matching_game.html#module-sage.game_theory.matching_game">sage.game_theory.matching_game (module)</a> html/en/reference/genindex-all.html:101112: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#module-sage.lfunctions.dokchitser">sage.lfunctions.dokchitser (module)</a> html/en/reference/genindex-all.html:106798: <dt><a href="lfunctions/sage/lfunctions/dokchitser.html#sage.lfunctions.dokchitser.Dokchitser.set_coeff_growth">set_coeff_growth() (sage.lfunctions.dokchitser.Dokchitser method)</a> html/en/reference/genindex-all.html:106864: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.FiniteStateMachine.set_coordinates">set_coordinates() (sage.combinat.finite_state_machine.FiniteStateMachine method)</a> html/en/reference/genindex-all.html:108180: <dt><a href="combinat/sage/combinat/finite_state_machine.html#sage.combinat.finite_state_machine.setup_latex_preamble">setup_latex_preamble() (in module sage.combinat.finite_state_machine)</a> html/en/reference/genindex-all.html:108967: <dt><a href="finance/sage/finance/markov_multifractal.html#sage.finance.mark[...]

2/3

$$\frac{2}{3}$$