digraph physicsDerivation { 
overlap = false;
label="derivation: first law of thermodynamics
https://allofphysiscs.com";
fontsize=12;
0004965571 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0004965571 -> generated_expression_1815398659_b3a2f3e75b6e0205538648edd1c2795b6a95de0365b2261f0a581f731fb30d5b;
generated_expression_1815398659_b3a2f3e75b6e0205538648edd1c2795b6a95de0365b2261f0a581f731fb30d5b [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1815398659_b3a2f3e75b6e0205538648edd1c2795b6a95de0365b2261f0a581f731fb30d5b.png",labelloc=b];
0007164757 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0007164757 -> generated_expression_9941599459_e2e266ddd425ce7ab38567b59ebf9f11de9940fb7915815f71e1254455ff53cb;
generated_expression_9941599459_e2e266ddd425ce7ab38567b59ebf9f11de9940fb7915815f71e1254455ff53cb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9941599459_e2e266ddd425ce7ab38567b59ebf9f11de9940fb7915815f71e1254455ff53cb.png",labelloc=b];
0008168352 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0008168352 -> generated_expression_3547519267_7a719028b3d496f4b7a5f46f5efc592d76664dcccb3ccb83658a49a36f2ee963;
generated_expression_3547519267_7a719028b3d496f4b7a5f46f5efc592d76664dcccb3ccb83658a49a36f2ee963 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3547519267_7a719028b3d496f4b7a5f46f5efc592d76664dcccb3ccb83658a49a36f2ee963.png",labelloc=b];
0009131071 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0009131071 -> generated_expression_1085150613_beb7406fae8d8e066ac0ca7135f62dca9a1bd02f289a32472a2a04a909ce45f2;
generated_expression_1085150613_beb7406fae8d8e066ac0ca7135f62dca9a1bd02f289a32472a2a04a909ce45f2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1085150613_beb7406fae8d8e066ac0ca7135f62dca9a1bd02f289a32472a2a04a909ce45f2.png",labelloc=b];
0006666476 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0006666476 -> generated_expression_5634116660_45ff15dc30854501010909d852fc96d6451cd5c2201d872ad7b61b4e9a7f4c8a;
generated_expression_5634116660_45ff15dc30854501010909d852fc96d6451cd5c2201d872ad7b61b4e9a7f4c8a [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5634116660_45ff15dc30854501010909d852fc96d6451cd5c2201d872ad7b61b4e9a7f4c8a.png",labelloc=b];
0002711162 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSoftwoexpressionsintoexpression.png",labelloc=b];
generated_expression_9941599459_e2e266ddd425ce7ab38567b59ebf9f11de9940fb7915815f71e1254455ff53cb -> 0002711162;
generated_expression_9941599459_e2e266ddd425ce7ab38567b59ebf9f11de9940fb7915815f71e1254455ff53cb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9941599459_e2e266ddd425ce7ab38567b59ebf9f11de9940fb7915815f71e1254455ff53cb.png",labelloc=b];
generated_expression_5634116660_45ff15dc30854501010909d852fc96d6451cd5c2201d872ad7b61b4e9a7f4c8a -> 0002711162;
generated_expression_5634116660_45ff15dc30854501010909d852fc96d6451cd5c2201d872ad7b61b4e9a7f4c8a [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5634116660_45ff15dc30854501010909d852fc96d6451cd5c2201d872ad7b61b4e9a7f4c8a.png",labelloc=b];
generated_expression_1085150613_beb7406fae8d8e066ac0ca7135f62dca9a1bd02f289a32472a2a04a909ce45f2 -> 0002711162;
generated_expression_1085150613_beb7406fae8d8e066ac0ca7135f62dca9a1bd02f289a32472a2a04a909ce45f2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1085150613_beb7406fae8d8e066ac0ca7135f62dca9a1bd02f289a32472a2a04a909ce45f2.png",labelloc=b];
0002711162 -> generated_expression_5002539602_be48e0f0565ae8b752c1152ad7910fbf137444c2a1af817b5a5a13dbf33064ac;
generated_expression_5002539602_be48e0f0565ae8b752c1152ad7910fbf137444c2a1af817b5a5a13dbf33064ac [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5002539602_be48e0f0565ae8b752c1152ad7910fbf137444c2a1af817b5a5a13dbf33064ac.png",labelloc=b];
0005592617 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_5002539602_be48e0f0565ae8b752c1152ad7910fbf137444c2a1af817b5a5a13dbf33064ac -> 0005592617;
generated_expression_5002539602_be48e0f0565ae8b752c1152ad7910fbf137444c2a1af817b5a5a13dbf33064ac [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5002539602_be48e0f0565ae8b752c1152ad7910fbf137444c2a1af817b5a5a13dbf33064ac.png",labelloc=b];
0005592617 -> generated_expression_6055078815_336024d5b4e7d991a53651c9a5b90c4369ed1d244537d0baca9213a947966226;
generated_expression_6055078815_336024d5b4e7d991a53651c9a5b90c4369ed1d244537d0baca9213a947966226 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_6055078815_336024d5b4e7d991a53651c9a5b90c4369ed1d244537d0baca9213a947966226.png",labelloc=b];
generated_feed_8854422847_fbabe5362cec19fee5b9377eae31287361826b05fa154b039dec2abf93c6ea2e -> 0005592617;
generated_feed_8854422847_fbabe5362cec19fee5b9377eae31287361826b05fa154b039dec2abf93c6ea2e [shape=box, color=red,label="",image="/code/static/generated_feed_8854422847_fbabe5362cec19fee5b9377eae31287361826b05fa154b039dec2abf93c6ea2e.png",labelloc=b];
0004779130 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0004779130 -> generated_expression_3464107376_b204568feb0026bcae7a8406e85afcf7df313fccd4e7037bc1e520ad74239cfd;
generated_expression_3464107376_b204568feb0026bcae7a8406e85afcf7df313fccd4e7037bc1e520ad74239cfd [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3464107376_b204568feb0026bcae7a8406e85afcf7df313fccd4e7037bc1e520ad74239cfd.png",labelloc=b];
0001993589 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_multiplybothsidesby.png",labelloc=b];
generated_expression_3464107376_b204568feb0026bcae7a8406e85afcf7df313fccd4e7037bc1e520ad74239cfd -> 0001993589;
generated_expression_3464107376_b204568feb0026bcae7a8406e85afcf7df313fccd4e7037bc1e520ad74239cfd [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3464107376_b204568feb0026bcae7a8406e85afcf7df313fccd4e7037bc1e520ad74239cfd.png",labelloc=b];
0001993589 -> generated_expression_6397683463_8df60620a989f531a3d74364050448d616eac64120c1e67beda2a1861e4d3dfb;
generated_expression_6397683463_8df60620a989f531a3d74364050448d616eac64120c1e67beda2a1861e4d3dfb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_6397683463_8df60620a989f531a3d74364050448d616eac64120c1e67beda2a1861e4d3dfb.png",labelloc=b];
generated_feed_5074423401_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc -> 0001993589;
generated_feed_5074423401_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc [shape=box, color=red,label="",image="/code/static/generated_feed_5074423401_de5a6f78116eca62d7fc5ce159d23ae6b889b365a1739ad2cf36f925a140d0cc.png",labelloc=b];
0007017521 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSofexpr1intoexpr2.png",labelloc=b];
generated_expression_6055078815_336024d5b4e7d991a53651c9a5b90c4369ed1d244537d0baca9213a947966226 -> 0007017521;
generated_expression_6055078815_336024d5b4e7d991a53651c9a5b90c4369ed1d244537d0baca9213a947966226 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_6055078815_336024d5b4e7d991a53651c9a5b90c4369ed1d244537d0baca9213a947966226.png",labelloc=b];
generated_expression_6397683463_8df60620a989f531a3d74364050448d616eac64120c1e67beda2a1861e4d3dfb -> 0007017521;
generated_expression_6397683463_8df60620a989f531a3d74364050448d616eac64120c1e67beda2a1861e4d3dfb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_6397683463_8df60620a989f531a3d74364050448d616eac64120c1e67beda2a1861e4d3dfb.png",labelloc=b];
0007017521 -> generated_expression_2257410739_154403d71e41f694996bb834690b26afb8bc94b5cf5cbc879b42be9a91c02b05;
generated_expression_2257410739_154403d71e41f694996bb834690b26afb8bc94b5cf5cbc879b42be9a91c02b05 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2257410739_154403d71e41f694996bb834690b26afb8bc94b5cf5cbc879b42be9a91c02b05.png",labelloc=b];
0006605632 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_2257410739_154403d71e41f694996bb834690b26afb8bc94b5cf5cbc879b42be9a91c02b05 -> 0006605632;
generated_expression_2257410739_154403d71e41f694996bb834690b26afb8bc94b5cf5cbc879b42be9a91c02b05 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2257410739_154403d71e41f694996bb834690b26afb8bc94b5cf5cbc879b42be9a91c02b05.png",labelloc=b];
0006605632 -> generated_expression_7826132469_66e8c03c1dc0aebcfee5189413ec3a08d0111f2608fb6d1e75cafdcf76a18e79;
generated_expression_7826132469_66e8c03c1dc0aebcfee5189413ec3a08d0111f2608fb6d1e75cafdcf76a18e79 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7826132469_66e8c03c1dc0aebcfee5189413ec3a08d0111f2608fb6d1e75cafdcf76a18e79.png",labelloc=b];
0009782579 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0009782579 -> generated_expression_9781951738_62aeeb4765ffc074ba5e471d3c6e3d90e961df35da56c2b24834ec3a7850f085;
generated_expression_9781951738_62aeeb4765ffc074ba5e471d3c6e3d90e961df35da56c2b24834ec3a7850f085 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9781951738_62aeeb4765ffc074ba5e471d3c6e3d90e961df35da56c2b24834ec3a7850f085.png",labelloc=b];
}