digraph physicsDerivation { 
overlap = false;
label="derivation: total electrical resistance for circuit with two resistors in parallel
https://allofphysiscs.com";
fontsize=12;
0001391174 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_changetwovariablesinexpression.png",labelloc=b];
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f -> 0001391174;
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f.png",labelloc=b];
0001391174 -> generated_expression_4128500715_88d1d046acf5c6eed48b036c9e04e6f8f53bbd5c540de370ae6843cfa37cd070;
generated_expression_4128500715_88d1d046acf5c6eed48b036c9e04e6f8f53bbd5c540de370ae6843cfa37cd070 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4128500715_88d1d046acf5c6eed48b036c9e04e6f8f53bbd5c540de370ae6843cfa37cd070.png",labelloc=b];
generated_feed_5258419993_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad -> 0001391174;
generated_feed_5258419993_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad [shape=box, color=red,label="",image="/code/static/generated_feed_5258419993_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad.png",labelloc=b];
generated_feed_7191277455_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac -> 0001391174;
generated_feed_7191277455_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac [shape=box, color=red,label="",image="/code/static/generated_feed_7191277455_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac.png",labelloc=b];
generated_feed_1323602089_37475f8aeaec6cce34e8f00ad5bbea9d7ea3f37a7fc6a8025254c0e6c1080c04 -> 0001391174;
generated_feed_1323602089_37475f8aeaec6cce34e8f00ad5bbea9d7ea3f37a7fc6a8025254c0e6c1080c04 [shape=box, color=red,label="",image="/code/static/generated_feed_1323602089_37475f8aeaec6cce34e8f00ad5bbea9d7ea3f37a7fc6a8025254c0e6c1080c04.png",labelloc=b];
generated_feed_2867848403_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c -> 0001391174;
generated_feed_2867848403_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c [shape=box, color=red,label="",image="/code/static/generated_feed_2867848403_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c.png",labelloc=b];
0008121398 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_changetwovariablesinexpression.png",labelloc=b];
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f -> 0008121398;
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f.png",labelloc=b];
0008121398 -> generated_expression_9243879541_0276711675312a1e3bb4872aec2a033b235e153f95927f287f1f6840a431f2fc;
generated_expression_9243879541_0276711675312a1e3bb4872aec2a033b235e153f95927f287f1f6840a431f2fc [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9243879541_0276711675312a1e3bb4872aec2a033b235e153f95927f287f1f6840a431f2fc.png",labelloc=b];
generated_feed_9746066299_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8 -> 0008121398;
generated_feed_9746066299_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8 [shape=box, color=red,label="",image="/code/static/generated_feed_9746066299_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8.png",labelloc=b];
generated_feed_1377431959_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac -> 0008121398;
generated_feed_1377431959_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac [shape=box, color=red,label="",image="/code/static/generated_feed_1377431959_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac.png",labelloc=b];
generated_feed_5463275819_e2ed4b2197fa259842587bdece87549488f17f6401d6cba71ee2c91f36084b9f -> 0008121398;
generated_feed_5463275819_e2ed4b2197fa259842587bdece87549488f17f6401d6cba71ee2c91f36084b9f [shape=box, color=red,label="",image="/code/static/generated_feed_5463275819_e2ed4b2197fa259842587bdece87549488f17f6401d6cba71ee2c91f36084b9f.png",labelloc=b];
generated_feed_5585739998_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c -> 0008121398;
generated_feed_5585739998_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c [shape=box, color=red,label="",image="/code/static/generated_feed_5585739998_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c.png",labelloc=b];
0008616052 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_9243879541_0276711675312a1e3bb4872aec2a033b235e153f95927f287f1f6840a431f2fc -> 0008616052;
generated_expression_9243879541_0276711675312a1e3bb4872aec2a033b235e153f95927f287f1f6840a431f2fc [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9243879541_0276711675312a1e3bb4872aec2a033b235e153f95927f287f1f6840a431f2fc.png",labelloc=b];
0008616052 -> generated_expression_7002609475_da53e35b69706dfefa40f46ca6a5ead8980926cd9cdd8e47f6458b73a5c0a423;
generated_expression_7002609475_da53e35b69706dfefa40f46ca6a5ead8980926cd9cdd8e47f6458b73a5c0a423 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7002609475_da53e35b69706dfefa40f46ca6a5ead8980926cd9cdd8e47f6458b73a5c0a423.png",labelloc=b];
generated_feed_3031116098_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8 -> 0008616052;
generated_feed_3031116098_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8 [shape=box, color=red,label="",image="/code/static/generated_feed_3031116098_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8.png",labelloc=b];
0006114977 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_4128500715_88d1d046acf5c6eed48b036c9e04e6f8f53bbd5c540de370ae6843cfa37cd070 -> 0006114977;
generated_expression_4128500715_88d1d046acf5c6eed48b036c9e04e6f8f53bbd5c540de370ae6843cfa37cd070 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4128500715_88d1d046acf5c6eed48b036c9e04e6f8f53bbd5c540de370ae6843cfa37cd070.png",labelloc=b];
0006114977 -> generated_expression_2051901211_30a1cca6809eb1ea5e1bfe4af22cbf99c48ca3a2efd1998fb5fb41554f673721;
generated_expression_2051901211_30a1cca6809eb1ea5e1bfe4af22cbf99c48ca3a2efd1998fb5fb41554f673721 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2051901211_30a1cca6809eb1ea5e1bfe4af22cbf99c48ca3a2efd1998fb5fb41554f673721.png",labelloc=b];
generated_feed_5181421075_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad -> 0006114977;
generated_feed_5181421075_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad [shape=box, color=red,label="",image="/code/static/generated_feed_5181421075_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad.png",labelloc=b];
0003724854 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0003724854 -> generated_expression_6753224061_a7d512685798d1105dbb3ee6da28089c3506ca59b43a320cea4cf6349cf67065;
generated_expression_6753224061_a7d512685798d1105dbb3ee6da28089c3506ca59b43a320cea4cf6349cf67065 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_6753224061_a7d512685798d1105dbb3ee6da28089c3506ca59b43a320cea4cf6349cf67065.png",labelloc=b];
0007576732 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_changetwovariablesinexpression.png",labelloc=b];
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f -> 0007576732;
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f.png",labelloc=b];
0007576732 -> generated_expression_2271186630_2fc3cdecc67b18c917ff84f187b879af42b92dd4b7ef6db2412f1294a9ac5acf;
generated_expression_2271186630_2fc3cdecc67b18c917ff84f187b879af42b92dd4b7ef6db2412f1294a9ac5acf [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2271186630_2fc3cdecc67b18c917ff84f187b879af42b92dd4b7ef6db2412f1294a9ac5acf.png",labelloc=b];
generated_feed_7410124465_836d15011175a6c7cba21ac5cfa687480215f3fb2b655d2d1ef5fec5bf678964 -> 0007576732;
generated_feed_7410124465_836d15011175a6c7cba21ac5cfa687480215f3fb2b655d2d1ef5fec5bf678964 [shape=box, color=red,label="",image="/code/static/generated_feed_7410124465_836d15011175a6c7cba21ac5cfa687480215f3fb2b655d2d1ef5fec5bf678964.png",labelloc=b];
generated_feed_1100332145_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac -> 0007576732;
generated_feed_1100332145_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac [shape=box, color=red,label="",image="/code/static/generated_feed_1100332145_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac.png",labelloc=b];
generated_feed_7798615279_8769838703864f7be0fffe7e532141d7d5a584729db4f00af4f36e0e473cea11 -> 0007576732;
generated_feed_7798615279_8769838703864f7be0fffe7e532141d7d5a584729db4f00af4f36e0e473cea11 [shape=box, color=red,label="",image="/code/static/generated_feed_7798615279_8769838703864f7be0fffe7e532141d7d5a584729db4f00af4f36e0e473cea11.png",labelloc=b];
generated_feed_9053099840_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c -> 0007576732;
generated_feed_9053099840_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c [shape=box, color=red,label="",image="/code/static/generated_feed_9053099840_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c.png",labelloc=b];
0004777295 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_2271186630_2fc3cdecc67b18c917ff84f187b879af42b92dd4b7ef6db2412f1294a9ac5acf -> 0004777295;
generated_expression_2271186630_2fc3cdecc67b18c917ff84f187b879af42b92dd4b7ef6db2412f1294a9ac5acf [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2271186630_2fc3cdecc67b18c917ff84f187b879af42b92dd4b7ef6db2412f1294a9ac5acf.png",labelloc=b];
0004777295 -> generated_expression_2809345867_e1466ab561fc6a69962960a652e9009903bab3a0ff1105386a33924286626666;
generated_expression_2809345867_e1466ab561fc6a69962960a652e9009903bab3a0ff1105386a33924286626666 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2809345867_e1466ab561fc6a69962960a652e9009903bab3a0ff1105386a33924286626666.png",labelloc=b];
generated_feed_6546594355_836d15011175a6c7cba21ac5cfa687480215f3fb2b655d2d1ef5fec5bf678964 -> 0004777295;
generated_feed_6546594355_836d15011175a6c7cba21ac5cfa687480215f3fb2b655d2d1ef5fec5bf678964 [shape=box, color=red,label="",image="/code/static/generated_feed_6546594355_836d15011175a6c7cba21ac5cfa687480215f3fb2b655d2d1ef5fec5bf678964.png",labelloc=b];
0005878391 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSofthreeexpressionsintoexpression.png",labelloc=b];
generated_expression_6753224061_a7d512685798d1105dbb3ee6da28089c3506ca59b43a320cea4cf6349cf67065 -> 0005878391;
generated_expression_6753224061_a7d512685798d1105dbb3ee6da28089c3506ca59b43a320cea4cf6349cf67065 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_6753224061_a7d512685798d1105dbb3ee6da28089c3506ca59b43a320cea4cf6349cf67065.png",labelloc=b];
generated_expression_7002609475_da53e35b69706dfefa40f46ca6a5ead8980926cd9cdd8e47f6458b73a5c0a423 -> 0005878391;
generated_expression_7002609475_da53e35b69706dfefa40f46ca6a5ead8980926cd9cdd8e47f6458b73a5c0a423 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7002609475_da53e35b69706dfefa40f46ca6a5ead8980926cd9cdd8e47f6458b73a5c0a423.png",labelloc=b];
generated_expression_2051901211_30a1cca6809eb1ea5e1bfe4af22cbf99c48ca3a2efd1998fb5fb41554f673721 -> 0005878391;
generated_expression_2051901211_30a1cca6809eb1ea5e1bfe4af22cbf99c48ca3a2efd1998fb5fb41554f673721 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2051901211_30a1cca6809eb1ea5e1bfe4af22cbf99c48ca3a2efd1998fb5fb41554f673721.png",labelloc=b];
generated_expression_2809345867_e1466ab561fc6a69962960a652e9009903bab3a0ff1105386a33924286626666 -> 0005878391;
generated_expression_2809345867_e1466ab561fc6a69962960a652e9009903bab3a0ff1105386a33924286626666 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2809345867_e1466ab561fc6a69962960a652e9009903bab3a0ff1105386a33924286626666.png",labelloc=b];
0005878391 -> generated_expression_4866160902_da05a40f79c2c8d077c4459e103f1564eb4b75f082d9ccbe86e7bedce8e9b82f;
generated_expression_4866160902_da05a40f79c2c8d077c4459e103f1564eb4b75f082d9ccbe86e7bedce8e9b82f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4866160902_da05a40f79c2c8d077c4459e103f1564eb4b75f082d9ccbe86e7bedce8e9b82f.png",labelloc=b];
0005478696 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_4866160902_da05a40f79c2c8d077c4459e103f1564eb4b75f082d9ccbe86e7bedce8e9b82f -> 0005478696;
generated_expression_4866160902_da05a40f79c2c8d077c4459e103f1564eb4b75f082d9ccbe86e7bedce8e9b82f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4866160902_da05a40f79c2c8d077c4459e103f1564eb4b75f082d9ccbe86e7bedce8e9b82f.png",labelloc=b];
0005478696 -> generated_expression_1457415749_c362e64a458c957285a8eddab9cd937aa78b47bcbdc1ed4b9a369baa755e9711;
generated_expression_1457415749_c362e64a458c957285a8eddab9cd937aa78b47bcbdc1ed4b9a369baa755e9711 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1457415749_c362e64a458c957285a8eddab9cd937aa78b47bcbdc1ed4b9a369baa755e9711.png",labelloc=b];
generated_feed_3433441359_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc -> 0005478696;
generated_feed_3433441359_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc [shape=box, color=red,label="",image="/code/static/generated_feed_3433441359_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc.png",labelloc=b];
0001468462 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declarefinalexpression.png",labelloc=b];
generated_expression_1457415749_c362e64a458c957285a8eddab9cd937aa78b47bcbdc1ed4b9a369baa755e9711 -> 0001468462;
generated_expression_1457415749_c362e64a458c957285a8eddab9cd937aa78b47bcbdc1ed4b9a369baa755e9711 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1457415749_c362e64a458c957285a8eddab9cd937aa78b47bcbdc1ed4b9a369baa755e9711.png",labelloc=b];
}