o i@sJddlmZmZmZddlmZGdddeZejeeddZ dS))Kind _NumberKind NumberKind)Mulcs,eZdZdZeffdd ZddZZS) VectorKinda Kind for all vector objects in SymPy. Parameters ========== element_kind : Kind Kind of the element. Default is :class:`sympy.core.kind.NumberKind`, which means that the vector contains only numbers. Examples ======== Any instance of Vector class has kind ``VectorKind``: >>> from sympy.vector.coordsysrect import CoordSys3D >>> Sys = CoordSys3D('Sys') >>> Sys.i.kind VectorKind(NumberKind) Operations between instances of Vector keep also have the kind ``VectorKind``: >>> from sympy.core.add import Add >>> v1 = Sys.i * 2 + Sys.j * 3 + Sys.k * 4 >>> v2 = Sys.i * Sys.x + Sys.j * Sys.y + Sys.k * Sys.z >>> v1.kind VectorKind(NumberKind) >>> v2.kind VectorKind(NumberKind) >>> Add(v1, v2).kind VectorKind(NumberKind) Subclasses of Vector also have the kind ``VectorKind``, such as Cross, VectorAdd, VectorMul or VectorZero. See Also ======== sympy.core.kind.Kind sympy.matrices.kind.MatrixKind cst||}||_|S)N)super__new__ element_kind)clsr obj __class__`/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/sympy/vector/kind.pyr2szVectorKind.__new__cCs d|jS)NzVectorKind(%s))r )selfrrr__repr__7s zVectorKind.__repr__)__name__ __module__ __qualname____doc__rrr __classcell__rrr rrs+rcCs*t|ts ||}}t||j}t|S)z The result of a multiplication between a number and a Vector should be of VectorKind. The element kind is selected by recursive dispatching. ) isinstancerr_kind_dispatcherr )Zk1Zk2Zelemkrrr num_vec_mul:s  rN) Zsympy.core.kindrrrZsympy.core.mulrrrregisterrrrrrs   4