Module ImportFrom alias alias alias alias ImportFrom alias alias alias alias ImportFrom alias alias alias alias alias alias alias ImportFrom alias Assign NameStore Call NameLoad Str Assign NameStore Call NameLoad Str Assign NameStore Call AttributeLoad NameLoad attr Str Str ListLoad NameLoad AttributeLoad NameLoad attr FunctionDef arguments args defaults body Assert CompareEq Call NameLoad Call NameLoad Num NameLoad Call NameLoad Num Assert CompareEq Call NameLoad AttributeLoad NameLoad attr NameLoad Call NameLoad Num Assert CompareEq Call NameLoad BinOpMult BinOpMult Num BinOpPow SubscriptLoad NameLoad Index Num Num AttributeLoad NameLoad attr NameLoad Call NameLoad Num Assert CompareEq Call NameLoad BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad BinOpSub BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpMult BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpAdd BinOpAdd AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr NameLoad BinOpAdd BinOpAdd BinOpMult BinOpAdd BinOpMult UnaryOpUSub SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpSub BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpAdd BinOpMult UnaryOpUSub SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpMult BinOpMult Num BinOpPow SubscriptLoad NameLoad Index Num Num AttributeLoad NameLoad attr NameLoad BinOpMult BinOpMult Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpAdd BinOpMult BinOpPow SubscriptLoad NameLoad Index Num Num AttributeLoad NameLoad attr AttributeLoad NameLoad attr NameLoad BinOpMult BinOpMult BinOpMult Num BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad NameLoad BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad NameLoad Call NameLoad NameLoad AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad BinOpMult Call NameLoad NameLoad AttributeLoad NameLoad attr decorator_list FunctionDef arguments args defaults body Assert CompareEq Call NameLoad Call NameLoad Num NameLoad Call NameLoad Num Assert CompareEq Call NameLoad AttributeLoad NameLoad attr NameLoad Call NameLoad Num Assert CompareEq Call NameLoad BinOpMult BinOpPow SubscriptLoad NameLoad Index Num Num AttributeLoad NameLoad attr NameLoad BinOpMult Num SubscriptLoad NameLoad Index Num Assert CompareEq Call NameLoad BinOpMult BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpAdd BinOpAdd AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr NameLoad BinOpAdd BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num Assert CompareEq Call NameLoad BinOpMult BinOpDiv Num BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpAdd BinOpAdd AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr NameLoad BinOpSub BinOpSub BinOpDiv Num BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num BinOpPow SubscriptLoad NameLoad Index Num Num BinOpDiv Num BinOpMult BinOpMult SubscriptLoad NameLoad Index Num BinOpPow SubscriptLoad NameLoad Index Num Num SubscriptLoad NameLoad Index Num BinOpDiv Num BinOpMult BinOpMult BinOpPow SubscriptLoad NameLoad Index Num Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num Assign NameStore BinOpAdd BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assert CompareEq Call NameLoad NameLoad NameLoad Num Assert CompareEq Call AttributeLoad Call NameLoad NameLoad NameLoad attr Num Assert CompareEq Call NameLoad BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad BinOpMult Num Call NameLoad NameLoad decorator_list FunctionDef arguments args defaults body Assign NameStore Call NameLoad Str Assert CompareEq Call NameLoad Num NameLoad Call NameLoad Num Assert CompareEq Call NameLoad SubscriptLoad NameLoad Index Num NameLoad AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num NameLoad BinOpAdd BinOpAdd BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpMult Num BinOpPow SubscriptLoad NameLoad Index Num Num NameLoad BinOpMult BinOpMult Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpDiv BinOpMult NameLoad Call NameLoad SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num NameLoad BinOpAdd BinOpMult BinOpDiv BinOpMult UnaryOpUSub NameLoad Call NameLoad SubscriptLoad NameLoad Index Num BinOpPow SubscriptLoad NameLoad Index Num Num AttributeLoad NameLoad attr BinOpMult BinOpDiv BinOpMult NameLoad Call NameLoad SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num NameLoad BinOpAdd BinOpMult BinOpAdd BinOpMult UnaryOpUSub SubscriptLoad NameLoad Index Num Call NameLoad BinOpMult Num NameLoad BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad BinOpMult Num NameLoad AttributeLoad NameLoad attr BinOpMult BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad BinOpMult Num NameLoad BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad BinOpMult Num NameLoad AttributeLoad NameLoad attr Assert CompareEq Call NameLoad BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num NameLoad BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr decorator_list Assign NameStore BinOpMult BinOpMult BinOpMult Num BinOpPow SubscriptLoad NameLoad Index Num Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num Assign NameStore Call NameLoad NameLoad NameLoad Assign NameStore BinOpAdd BinOpAdd BinOpMult BinOpPow SubscriptLoad NameLoad Index Num Num AttributeLoad NameLoad attr BinOpMult BinOpMult Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult BinOpMult Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assign NameStore Call NameLoad NameLoad NameLoad FunctionDef arguments args defaults body Assert CompareIs Call NameLoad Num NameLoad Assert CompareIs Call NameLoad AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpAdd BinOpAdd BinOpMult Num AttributeLoad NameLoad attr BinOpMult Num AttributeLoad NameLoad attr BinOpMult Num AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpAdd BinOpAdd BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad NameLoad NameLoad Assert CompareIs Call NameLoad NameLoad NameLoad Assert CompareIs Call NameLoad BinOpAdd BinOpMult BinOpMult BinOpMult BinOpMult Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult BinOpMult Num BinOpPow SubscriptLoad NameLoad Index Num Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args defaults body Assert CompareIs Call NameLoad Num NameLoad Assert CompareIs Call NameLoad AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpAdd BinOpAdd BinOpMult Num AttributeLoad NameLoad attr BinOpMult Num AttributeLoad NameLoad attr BinOpMult Num AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpAdd BinOpAdd BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad NameLoad NameLoad Assert CompareIs Call NameLoad NameLoad NameLoad Assert CompareIs Call NameLoad BinOpMult BinOpAdd BinOpMult Num SubscriptLoad NameLoad Index Num Num AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpAdd BinOpAdd BinOpMult Call NameLoad NameLoad AttributeLoad NameLoad attr BinOpMult Call NameLoad NameLoad AttributeLoad NameLoad attr BinOpMult Call NameLoad NameLoad AttributeLoad NameLoad attr NameLoad Assert CompareIs Call NameLoad BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args defaults body Assert CompareEq Call NameLoad Num NameLoad Num Assert CompareEq Call NameLoad AttributeLoad NameLoad attr NameLoad SubscriptLoad NameLoad Index Num Assert CompareEq Call NameLoad AttributeLoad NameLoad attr NameLoad SubscriptLoad NameLoad Index Num Assert CompareEq Call NameLoad AttributeLoad NameLoad attr NameLoad SubscriptLoad NameLoad Index Num Assert CompareEq Call NameLoad BinOpAdd BinOpAdd BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num Assert CompareEq Call NameLoad NameLoad NameLoad NameLoad Assert CompareEq Call NameLoad BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad BinOpAdd BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num Call NameLoad NameLoad BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num Call NameLoad NameLoad Assert CompareEq Call NameLoad BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num Expr Call NameLoad NameLoad Lambda arguments args defaults Call NameLoad BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad decorator_list FunctionDef arguments args defaults body Assign NameStore Call NameLoad Str Assign NameStore Call AttributeLoad NameLoad attr Str BinOpAdd BinOpAdd BinOpMult Num AttributeLoad NameLoad attr BinOpMult Num AttributeLoad NameLoad attr BinOpMult Num AttributeLoad NameLoad attr Assign NameStore Call AttributeLoad NameLoad attr Str BinOpAdd BinOpAdd BinOpMult Num AttributeLoad NameLoad attr BinOpMult Num AttributeLoad NameLoad attr BinOpMult Num AttributeLoad NameLoad attr Assign NameStore Call AttributeLoad NameLoad attr Str BinOpAdd BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assign NameStore Call AttributeLoad NameLoad attr Str BinOpAdd BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr Assert CompareEq Call NameLoad Call NameLoad Num NameLoad NameLoad NameLoad NameLoad Num Assert CompareEq Call NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad Assert CompareEq Call NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad Assert CompareEq Call NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad Num Assert CompareEq Call NameLoad BinOpAdd BinOpAdd BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num AttributeLoad NameLoad attr NameLoad NameLoad NameLoad NameLoad BinOpSub BinOpMult BinOpMult SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num SubscriptLoad NameLoad Index Num Num Assign NameStore BinOpMult BinOpMult BinOpMult Num SubscriptLoad NameLoad Index Num BinOpAdd BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad NameLoad BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad NameLoad BinOpPow BinOpSub BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad NameLoad BinOpMult SubscriptLoad NameLoad Index Num Call NameLoad NameLoad Num Assert CompareEq Call AttributeLoad Call NameLoad NameLoad NameLoad NameLoad NameLoad NameLoad attr NameLoad decorator_list
N/A sympy S Symbol sin cos sympy.physics.vector ReferenceFrame Vector Point dynamicsymbols sympy.physics.vector.fieldfunctions divergence gradient curl is_conservative is_solenoidal scalar_potential scalar_potential_difference sympy.utilities.pytest raises N/A R N/A ReferenceFrame R N/A q N/A dynamicsymbols q N/A P N/A N/A R orientnew P Axis N/A q N/A R z test_curl N/A N/A N/A N/A N/A N/A N/A curl N/A Vector 0 R N/A Vector 0 N/A N/A N/A curl N/A R x R N/A Vector 0 N/A N/A N/A curl N/A N/A 2 N/A N/A R N/A 1 2 N/A R y R N/A Vector 0 N/A N/A N/A curl N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R z R N/A N/A N/A R N/A 0 N/A R x N/A N/A R N/A 1 N/A R y N/A N/A N/A curl N/A N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R N/A 2 N/A N/A N/A R x N/A R y N/A R z R N/A N/A N/A N/A N/A N/A N/A R N/A 0 N/A R N/A 1 N/A N/A R N/A 0 N/A R N/A 2 N/A R x N/A N/A N/A N/A R N/A 0 N/A R N/A 1 N/A N/A R N/A 1 N/A R N/A 2 N/A R y N/A N/A N/A N/A N/A R N/A 0 N/A R N/A 2 N/A N/A R N/A 1 N/A R N/A 2 N/A R z N/A N/A N/A curl N/A N/A 2 N/A N/A R N/A 0 2 N/A R y R N/A N/A 4 N/A R N/A 0 N/A R z N/A N/A N/A curl N/A N/A N/A N/A P N/A 0 2 N/A R x N/A P y R N/A N/A N/A -2 N/A N/A N/A R N/A 0 N/A cos q N/A N/A R N/A 1 N/A sin q N/A sin q N/A R z N/A N/A N/A curl N/A N/A P N/A 0 N/A R y P N/A N/A cos q N/A P z N/A test_divergence N/A N/A N/A N/A N/A N/A N/A divergence N/A Vector 0 R N/A S 0 N/A N/A N/A divergence N/A R x R N/A S 0 N/A N/A N/A divergence N/A N/A N/A R N/A 0 2 N/A R x R N/A 2 N/A R N/A 0 N/A N/A N/A divergence N/A N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R N/A 2 N/A N/A N/A R x N/A R y N/A R z R N/A N/A N/A N/A R N/A 0 N/A R N/A 1 N/A N/A R N/A 0 N/A R N/A 2 N/A N/A R N/A 1 N/A R N/A 2 N/A N/A N/A divergence N/A N/A 1 N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R N/A 2 N/A N/A N/A R x N/A R y N/A R z R N/A N/A N/A -1 N/A N/A N/A R N/A 0 N/A R N/A 1 N/A N/A R N/A 2 2 N/A 1 N/A N/A N/A R N/A 0 N/A N/A R N/A 1 2 N/A R N/A 2 N/A 1 N/A N/A N/A N/A R N/A 0 2 N/A R N/A 1 N/A R N/A 2 N/A v N/A N/A N/A N/A P N/A 0 N/A P x N/A N/A P N/A 1 N/A P y N/A N/A P N/A 2 N/A P z N/A N/A N/A divergence v P 3 N/A N/A N/A N/A N/A divergence v R simplify 3 N/A N/A N/A divergence N/A N/A N/A P N/A 0 N/A R x N/A N/A R N/A 0 N/A P x R N/A 2 N/A cos q N/A test_gradient N/A N/A N/A N/A N/A a N/A Symbol a N/A N/A N/A gradient 0 R N/A Vector 0 N/A N/A N/A gradient N/A R N/A 0 R N/A R x N/A N/A N/A gradient N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R N/A 2 R N/A N/A N/A N/A N/A R N/A 1 N/A R N/A 2 N/A R x N/A N/A N/A R N/A 0 N/A R N/A 2 N/A R y N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R z N/A N/A N/A gradient N/A 2 N/A N/A R N/A 0 2 R N/A N/A 4 N/A R N/A 0 N/A R x N/A N/A N/A gradient N/A N/A a N/A sin N/A R N/A 1 N/A R N/A 0 R N/A N/A N/A N/A N/A a N/A sin N/A R N/A 1 N/A N/A R N/A 0 2 N/A R x N/A N/A N/A a N/A cos N/A R N/A 1 N/A R N/A 0 N/A R y N/A N/A N/A gradient N/A N/A P N/A 0 N/A P N/A 1 R N/A N/A N/A N/A N/A N/A R N/A 0 N/A sin N/A 2 q N/A N/A R N/A 1 N/A cos N/A 2 q N/A R x N/A N/A N/A N/A R N/A 0 N/A cos N/A 2 q N/A N/A R N/A 1 N/A sin N/A 2 q N/A R y N/A N/A N/A gradient N/A N/A P N/A 0 N/A R N/A 2 P N/A N/A N/A P N/A 2 N/A P x N/A N/A P N/A 0 N/A P z N/A N/A scalar_field N/A N/A N/A 2 N/A N/A R N/A 0 2 N/A R N/A 1 N/A R N/A 2 N/A grad_field N/A gradient scalar_field R N/A vector_field N/A N/A N/A N/A N/A R N/A 1 2 N/A R x N/A N/A 3 N/A R N/A 0 N/A R y N/A N/A N/A 5 N/A R N/A 1 N/A R N/A 2 N/A R z N/A curl_field N/A curl vector_field R test_conservative N/A N/A N/A N/A N/A N/A N/A is_conservative 0 True N/A N/A N/A is_conservative N/A R x True N/A N/A N/A is_conservative N/A N/A N/A 2 N/A R x N/A 3 N/A R y N/A 4 N/A R z True N/A N/A N/A is_conservative N/A N/A N/A N/A N/A R N/A 1 N/A R N/A 2 N/A R x N/A N/A N/A R N/A 0 N/A R N/A 2 N/A R y N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R z True N/A N/A N/A is_conservative N/A N/A R N/A 0 N/A R y False N/A N/A N/A is_conservative grad_field True N/A N/A N/A is_conservative curl_field False N/A N/A N/A is_conservative N/A N/A N/A N/A N/A 4 N/A R N/A 0 N/A R N/A 1 N/A R N/A 2 N/A R x N/A N/A N/A 2 N/A N/A R N/A 0 2 N/A R N/A 2 N/A R y False N/A N/A N/A is_conservative N/A N/A N/A R N/A 2 N/A P x N/A N/A P N/A 0 N/A R z True N/A test_solenoidal N/A N/A N/A N/A N/A N/A N/A is_solenoidal 0 True N/A N/A N/A is_solenoidal N/A R x True N/A N/A N/A is_solenoidal N/A N/A N/A 2 N/A R x N/A 3 N/A R y N/A 4 N/A R z True N/A N/A N/A is_solenoidal N/A N/A N/A N/A N/A R N/A 1 N/A R N/A 2 N/A R x N/A N/A N/A R N/A 0 N/A R N/A 2 N/A R y N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R z True N/A N/A N/A is_solenoidal N/A N/A R N/A 1 N/A R y False N/A N/A N/A is_solenoidal grad_field False N/A N/A N/A is_solenoidal curl_field True N/A N/A N/A is_solenoidal N/A N/A N/A -2 N/A R N/A 1 3 N/A R z True N/A N/A N/A is_solenoidal N/A N/A N/A N/A cos q N/A R x N/A N/A sin q N/A R y N/A N/A cos q N/A P z True N/A N/A N/A is_solenoidal N/A N/A N/A R N/A 2 N/A P x N/A N/A P N/A 0 N/A R z True N/A test_scalar_potential N/A N/A N/A N/A N/A N/A N/A scalar_potential 0 R 0 N/A N/A N/A scalar_potential N/A R x R N/A R N/A 0 N/A N/A N/A scalar_potential N/A R y R N/A R N/A 1 N/A N/A N/A scalar_potential N/A R z R N/A R N/A 2 N/A N/A N/A scalar_potential N/A N/A N/A N/A N/A R N/A 1 N/A R N/A 2 N/A R x N/A N/A N/A R N/A 0 N/A R N/A 2 N/A R y N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R z R N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R N/A 2 N/A N/A N/A scalar_potential grad_field R scalar_field N/A N/A N/A scalar_potential N/A N/A N/A R N/A 2 N/A P x N/A N/A P N/A 0 N/A R z R N/A N/A N/A N/A R N/A 0 N/A R N/A 2 N/A cos q N/A N/A N/A R N/A 1 N/A R N/A 2 N/A sin q N/A N/A N/A scalar_potential N/A N/A N/A R N/A 2 N/A P x N/A N/A P N/A 0 N/A R z P N/A N/A P N/A 0 N/A P N/A 2 N/A N/A raises ValueError N/A N/A N/A N/A N/A scalar_potential N/A N/A R N/A 0 N/A R y R N/A test_scalar_potential_difference N/A N/A N/A N/A N/A origin N/A Point O N/A point1 N/A N/A origin locatenew P1 N/A N/A N/A 1 N/A R x N/A 2 N/A R y N/A 3 N/A R z N/A point2 N/A N/A origin locatenew P2 N/A N/A N/A 4 N/A R x N/A 5 N/A R y N/A 6 N/A R z N/A genericpointR N/A N/A origin locatenew RP N/A N/A N/A N/A R N/A 0 N/A R x N/A N/A R N/A 1 N/A R y N/A N/A R N/A 2 N/A R z N/A genericpointP N/A N/A origin locatenew PP N/A N/A N/A N/A P N/A 0 N/A P x N/A N/A P N/A 1 N/A P y N/A N/A P N/A 2 N/A P z N/A N/A N/A scalar_potential_difference N/A S 0 R point1 point2 origin 0 N/A N/A N/A scalar_potential_difference scalar_field R origin genericpointR origin scalar_field N/A N/A N/A scalar_potential_difference grad_field R origin genericpointR origin scalar_field N/A N/A N/A scalar_potential_difference grad_field R point1 point2 origin 948 N/A N/A N/A scalar_potential_difference N/A N/A N/A N/A N/A R N/A 1 N/A R N/A 2 N/A R x N/A N/A N/A R N/A 0 N/A R N/A 2 N/A R y N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R z R point1 genericpointR origin N/A N/A N/A N/A R N/A 0 N/A R N/A 1 N/A R N/A 2 6 N/A potential_diff_P N/A N/A N/A 2 N/A P N/A 2 N/A N/A N/A P N/A 0 N/A sin q N/A N/A P N/A 1 N/A cos q N/A N/A N/A N/A P N/A 0 N/A cos q N/A N/A P N/A 1 N/A sin q 2 N/A N/A N/A N/A N/A scalar_potential_difference grad_field P origin genericpointP origin simplify potential_diff_P N/A