digraph physicsDerivation { 
overlap = false;
label="derivation: total electrical resistance for circuit with two resistors in series
https://allofphysiscs.com";
fontsize=12;
0003650891 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0003650891 -> generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f;
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f.png",labelloc=b];
0001423642 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_changetwovariablesinexpression.png",labelloc=b];
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f -> 0001423642;
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f.png",labelloc=b];
0001423642 -> generated_expression_7675171493_b845e74fb00b6c12174ece3a0bd6d3e20293b06c63859578727416cef93b3591;
generated_expression_7675171493_b845e74fb00b6c12174ece3a0bd6d3e20293b06c63859578727416cef93b3591 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7675171493_b845e74fb00b6c12174ece3a0bd6d3e20293b06c63859578727416cef93b3591.png",labelloc=b];
generated_feed_9174439158_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad -> 0001423642;
generated_feed_9174439158_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad [shape=box, color=red,label="",image="/code/static/generated_feed_9174439158_8996cf56d8c9d6528416dbf7ff6cd29bf19aa8ecae07ea08a4b6d507bea565ad.png",labelloc=b];
generated_feed_7774819339_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac -> 0001423642;
generated_feed_7774819339_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac [shape=box, color=red,label="",image="/code/static/generated_feed_7774819339_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac.png",labelloc=b];
generated_feed_9830343096_af5dd21930308f179056a79f6d42873168374ecd4663817ef11c3d689ed8482f -> 0001423642;
generated_feed_9830343096_af5dd21930308f179056a79f6d42873168374ecd4663817ef11c3d689ed8482f [shape=box, color=red,label="",image="/code/static/generated_feed_9830343096_af5dd21930308f179056a79f6d42873168374ecd4663817ef11c3d689ed8482f.png",labelloc=b];
generated_feed_2698469612_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc -> 0001423642;
generated_feed_2698469612_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc [shape=box, color=red,label="",image="/code/static/generated_feed_2698469612_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc.png",labelloc=b];
0002221674 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_changetwovariablesinexpression.png",labelloc=b];
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f -> 0002221674;
generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4087145886_8aef6bb46ee177885725c2bbdbcdce067747b528c14d61047982e13a38c31d8f.png",labelloc=b];
0002221674 -> generated_expression_6061695358_1acd7a506592db1924e19724bb2b5cb397a20cf1d74b2d7490ee1599f0e8c60a;
generated_expression_6061695358_1acd7a506592db1924e19724bb2b5cb397a20cf1d74b2d7490ee1599f0e8c60a [shape=ellipse, color=black,label="",image="/code/static/generated_expression_6061695358_1acd7a506592db1924e19724bb2b5cb397a20cf1d74b2d7490ee1599f0e8c60a.png",labelloc=b];
generated_feed_1484794622_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8 -> 0002221674;
generated_feed_1484794622_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8 [shape=box, color=red,label="",image="/code/static/generated_feed_1484794622_899fde002c2a2d10537909491b314e036831a6e8d798d0129dd950587cbbc6f8.png",labelloc=b];
generated_feed_5890617067_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac -> 0002221674;
generated_feed_5890617067_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac [shape=box, color=red,label="",image="/code/static/generated_feed_5890617067_8c2574892063f995fdf756bce07f46c1a5193e54cd52837ed91e32008ccf41ac.png",labelloc=b];
generated_feed_1608399874_c5bc961c4206a922d4d707879f3baf0b51edca7dedfa669c30dada873e1e8f54 -> 0002221674;
generated_feed_1608399874_c5bc961c4206a922d4d707879f3baf0b51edca7dedfa669c30dada873e1e8f54 [shape=box, color=red,label="",image="/code/static/generated_feed_1608399874_c5bc961c4206a922d4d707879f3baf0b51edca7dedfa669c30dada873e1e8f54.png",labelloc=b];
generated_feed_7497687256_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc -> 0002221674;
generated_feed_7497687256_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc [shape=box, color=red,label="",image="/code/static/generated_feed_7497687256_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc.png",labelloc=b];
0007233885 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0007233885 -> generated_expression_9063568209_88ac3c6b60bc2bec7ae292983e28bd82c9863c56cc3300d3468896ee7453ef19;
generated_expression_9063568209_88ac3c6b60bc2bec7ae292983e28bd82c9863c56cc3300d3468896ee7453ef19 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9063568209_88ac3c6b60bc2bec7ae292983e28bd82c9863c56cc3300d3468896ee7453ef19.png",labelloc=b];
0006550809 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0006550809 -> generated_expression_4939880586_20a9062caed59ff0917d3cb7a24c734ba1980dbe82f6c4f6c6d92c45e023f4f2;
generated_expression_4939880586_20a9062caed59ff0917d3cb7a24c734ba1980dbe82f6c4f6c6d92c45e023f4f2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4939880586_20a9062caed59ff0917d3cb7a24c734ba1980dbe82f6c4f6c6d92c45e023f4f2.png",labelloc=b];
0002247327 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSofthreeexpressionsintoexpression.png",labelloc=b];
generated_expression_9063568209_88ac3c6b60bc2bec7ae292983e28bd82c9863c56cc3300d3468896ee7453ef19 -> 0002247327;
generated_expression_9063568209_88ac3c6b60bc2bec7ae292983e28bd82c9863c56cc3300d3468896ee7453ef19 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9063568209_88ac3c6b60bc2bec7ae292983e28bd82c9863c56cc3300d3468896ee7453ef19.png",labelloc=b];
generated_expression_6061695358_1acd7a506592db1924e19724bb2b5cb397a20cf1d74b2d7490ee1599f0e8c60a -> 0002247327;
generated_expression_6061695358_1acd7a506592db1924e19724bb2b5cb397a20cf1d74b2d7490ee1599f0e8c60a [shape=ellipse, color=black,label="",image="/code/static/generated_expression_6061695358_1acd7a506592db1924e19724bb2b5cb397a20cf1d74b2d7490ee1599f0e8c60a.png",labelloc=b];
generated_expression_7675171493_b845e74fb00b6c12174ece3a0bd6d3e20293b06c63859578727416cef93b3591 -> 0002247327;
generated_expression_7675171493_b845e74fb00b6c12174ece3a0bd6d3e20293b06c63859578727416cef93b3591 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7675171493_b845e74fb00b6c12174ece3a0bd6d3e20293b06c63859578727416cef93b3591.png",labelloc=b];
generated_expression_4939880586_20a9062caed59ff0917d3cb7a24c734ba1980dbe82f6c4f6c6d92c45e023f4f2 -> 0002247327;
generated_expression_4939880586_20a9062caed59ff0917d3cb7a24c734ba1980dbe82f6c4f6c6d92c45e023f4f2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4939880586_20a9062caed59ff0917d3cb7a24c734ba1980dbe82f6c4f6c6d92c45e023f4f2.png",labelloc=b];
0002247327 -> generated_expression_2715678478_67a3adb004b50a07be9a1417286e240b415eb09a8c93b8c325d9b0e948a0f75f;
generated_expression_2715678478_67a3adb004b50a07be9a1417286e240b415eb09a8c93b8c325d9b0e948a0f75f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2715678478_67a3adb004b50a07be9a1417286e240b415eb09a8c93b8c325d9b0e948a0f75f.png",labelloc=b];
0001300532 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_2715678478_67a3adb004b50a07be9a1417286e240b415eb09a8c93b8c325d9b0e948a0f75f -> 0001300532;
generated_expression_2715678478_67a3adb004b50a07be9a1417286e240b415eb09a8c93b8c325d9b0e948a0f75f [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2715678478_67a3adb004b50a07be9a1417286e240b415eb09a8c93b8c325d9b0e948a0f75f.png",labelloc=b];
0001300532 -> generated_expression_7217021879_51cecc7bad811ceef7dc75427a34d391ace929c003e6f795397dad4801cf1bfd;
generated_expression_7217021879_51cecc7bad811ceef7dc75427a34d391ace929c003e6f795397dad4801cf1bfd [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7217021879_51cecc7bad811ceef7dc75427a34d391ace929c003e6f795397dad4801cf1bfd.png",labelloc=b];
generated_feed_7844317489_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c -> 0001300532;
generated_feed_7844317489_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c [shape=box, color=red,label="",image="/code/static/generated_feed_7844317489_a83dd0ccbffe39d071cc317ddf6e97f5c6b1c87af91919271f9fa140b0508c6c.png",labelloc=b];
0006614719 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declarefinalexpression.png",labelloc=b];
generated_expression_7217021879_51cecc7bad811ceef7dc75427a34d391ace929c003e6f795397dad4801cf1bfd -> 0006614719;
generated_expression_7217021879_51cecc7bad811ceef7dc75427a34d391ace929c003e6f795397dad4801cf1bfd [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7217021879_51cecc7bad811ceef7dc75427a34d391ace929c003e6f795397dad4801cf1bfd.png",labelloc=b];
}