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Calling Sequence
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Intersection( L1, L2, ..., depname = vars )
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Parameters
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L1, L2, ...
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a sequence of LAVF objects living on the same space
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vars
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(optional) a list of new dependent variable names
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Description
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Let L1,L2, ... be a sequence of LAVF objects living on the same space (see AreSameSpace). The Intersection method returns a new LAVF object whose solution space is the intersection of solutions of L1,L2,....
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By default, the dependent variable names of the returned object are taken from L1. The dependent variable names will be vars if the optional argument depnames = vars is specified.
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This method is front-end to the corresponding method of a LHPDE object. That is, let S1, S2,... be the determining systems of L1,L2,... (i.e. Si = GetDeterminingSystem(Li)), then the call Intersection(L1,L2,..) is equivalent to Intersection(S1,S2,..). All remaining input arguments will be passed down to its determining system level. See the method Intersection of a LHPDE object for more detail.
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Examples
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>
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The determining system for 2-dim Euclidean
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The determining system for 2-dim translations
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We first construct LAVFs for E(2) and T(2)
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>
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>
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Compatibility
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The Intersection command was introduced in Maple 2020.
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