Review Derivation: Physics Derivation Graph

Return to navigation page or list derivations

Review integration by parts

abstract:
reference:

step	inference rule	input	feed	output	step validity (as per SymPy)
1	0000111299: declare identity number of inputs: 0; feeds: 0; outputs: 1 Eq.~\ref{eq:#1} is an identity.			8489593958 $d(u v) = u dv + v du$	no validation is available for declarations
2	0000111282: subtract X from both sides number of inputs: 1; feeds: 1; outputs: 1 Subtract $#1$ from both sides of Eq.~\ref{eq:#2}; yields Eq.~\ref{eq:#3}.	8489593958 $d(u v) = u dv + v du$	0009492929 $v du$	8489593960 $d(u v) - v du = u dv$	Not evaluated due to missing term in SymPy
3	0000111268: swap LHS with RHS number of inputs: 1; feeds: 0; outputs: 1 Swap LHS of Eq.~\ref{eq:#1} with RHS; yields Eq.~\ref{eq:#2}.	8489593960 $d(u v) - v du = u dv$		8489593962 $u dv = d(u v) - v du$	Not evaluated due to missing term in SymPy
4	0000111608: indefinite integration number of inputs: 1; feeds: 0; outputs: 1 Indefinite integral of both sides of Eq.~\ref{eq:#1}; yields Eq.~\ref{eq:#2}.	8489593962 $u dv = d(u v) - v du$		8489593964 $\int u dv = u v - \int v du$	recognized infrule but not yet supported
5	0000111341: declare final expression number of inputs: 1; feeds: 0; outputs: 0 Eq.~\ref{eq:#1} is one of the final equations.	8489593964 $\int u dv = u v - \int v du$			no validation is available for declarations

Symbols used in integration by parts

0000004221: $ u $
0000005177: $ v $

d3js visualization of steps and expressions in integration by parts

Hold the mouse over a node to highlight that node and its neighbors. You can zoom in/out. You can pan the image. You can move nodes by clicking and dragging.

Actions: Edit Derivation

Generate Tex file or PDF file

Delete Derivation and all associated steps

This does not remove expressions, symbols, and operations.

timing of Neo4j queries:

0.003 seconds for pdg_app/to_review_derivation 2b2515ef-28de-46f4-8641-5f01a0aa7603
0.003 seconds for compute/get_dict_of_steps_in_derivation: steps_in_this_derivationa3afca34-c548-4b88-9f64-33af7a793a91
0.005 seconds for compute/input_feed_output_infrule_for_step: get_inference_rule_connected_to_step_IDa3afca34-c548-4b88-9f64-33af7a793a91
0.005 seconds for compute/input_feed_output_infrule_for_step: get_expressions_from_step_id_and_expr_type HAS_INPUTa3afca34-c548-4b88-9f64-33af7a793a91
0.005 seconds for compute/input_feed_output_infrule_for_step: get_expressions_from_step_id_and_expr_type, HAS_FEEDa3afca34-c548-4b88-9f64-33af7a793a91
0.005 seconds for compute/input_feed_output_infrule_for_step: get_expressions_from_step_id_and_expr_type, HAS_OUTPUTa3afca34-c548-4b88-9f64-33af7a793a91
0.005 seconds for compute/get_dict_of_steps_in_derivation: get_sequence_index_for_stepa3afca34-c548-4b88-9f64-33af7a793a91
0.003 seconds for pdg_app/ 2b2515ef-28de-46f4-8641-5f01a0aa7603

step	inference rule	input	feed	output	step validity (as per SymPy)
1	0000111299: declare identity number of inputs: 0; feeds: 0; outputs: 1 Eq.~\ref{eq:#1} is an identity.			8489593958 \(d(u v) = u dv + v du\)	no validation is available for declarations
2	0000111282: subtract X from both sides number of inputs: 1; feeds: 1; outputs: 1 Subtract $#1$ from both sides of Eq.~\ref{eq:#2}; yields Eq.~\ref{eq:#3}.	8489593958 \(d(u v) = u dv + v du\)	0009492929 \(v du\)	8489593960 \(d(u v) - v du = u dv\)	Not evaluated due to missing term in SymPy
3	0000111268: swap LHS with RHS number of inputs: 1; feeds: 0; outputs: 1 Swap LHS of Eq.~\ref{eq:#1} with RHS; yields Eq.~\ref{eq:#2}.	8489593960 \(d(u v) - v du = u dv\)		8489593962 \(u dv = d(u v) - v du\)	Not evaluated due to missing term in SymPy
4	0000111608: indefinite integration number of inputs: 1; feeds: 0; outputs: 1 Indefinite integral of both sides of Eq.~\ref{eq:#1}; yields Eq.~\ref{eq:#2}.	8489593962 \(u dv = d(u v) - v du\)		8489593964 \(\int u dv = u v - \int v du\)	recognized infrule but not yet supported
5	0000111341: declare final expression number of inputs: 1; feeds: 0; outputs: 0 Eq.~\ref{eq:#1} is one of the final equations.	8489593964 \(\int u dv = u v - \int v du\)			no validation is available for declarations