digraph physicsDerivation { 
overlap = false;
label="derivation: quantum basics orthogonality
https://allofphysiscs.com";
fontsize=12;
0002455366 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0002455366 -> generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9;
generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9.png",labelloc=b];
0003848591 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_applyoperatortoket.png",labelloc=b];
generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9 -> 0003848591;
generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9.png",labelloc=b];
0003848591 -> generated_expression_1010393944_d4638b97568a70710251b6d8a515940e7f31c292ba19e9fbf0badb79bf0b49fb;
generated_expression_1010393944_d4638b97568a70710251b6d8a515940e7f31c292ba19e9fbf0badb79bf0b49fb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1010393944_d4638b97568a70710251b6d8a515940e7f31c292ba19e9fbf0badb79bf0b49fb.png",labelloc=b];
0001301442 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_applyoperatortobra.png",labelloc=b];
generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9 -> 0001301442;
generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9596004948_eaeef2a9ba32b5b33ccfd2547fcd5c674cf8ad36f860cb90fb42c1f7bd6270c9.png",labelloc=b];
0001301442 -> generated_expression_1395858355_8dc8d55fa67ba1ad829795a216ac011d685ffc25dccb94a9690593bbc01f14ef;
generated_expression_1395858355_8dc8d55fa67ba1ad829795a216ac011d685ffc25dccb94a9690593bbc01f14ef [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1395858355_8dc8d55fa67ba1ad829795a216ac011d685ffc25dccb94a9690593bbc01f14ef.png",labelloc=b];
0002304934 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_1010393944_d4638b97568a70710251b6d8a515940e7f31c292ba19e9fbf0badb79bf0b49fb -> 0002304934;
generated_expression_1010393944_d4638b97568a70710251b6d8a515940e7f31c292ba19e9fbf0badb79bf0b49fb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1010393944_d4638b97568a70710251b6d8a515940e7f31c292ba19e9fbf0badb79bf0b49fb.png",labelloc=b];
0002304934 -> generated_expression_2394240499_09b8c7ac72100f7b616ffac0c70f8991beafac63a064d084bd47c3e896c009c5;
generated_expression_2394240499_09b8c7ac72100f7b616ffac0c70f8991beafac63a064d084bd47c3e896c009c5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2394240499_09b8c7ac72100f7b616ffac0c70f8991beafac63a064d084bd47c3e896c009c5.png",labelloc=b];
0004938400 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_1395858355_8dc8d55fa67ba1ad829795a216ac011d685ffc25dccb94a9690593bbc01f14ef -> 0004938400;
generated_expression_1395858355_8dc8d55fa67ba1ad829795a216ac011d685ffc25dccb94a9690593bbc01f14ef [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1395858355_8dc8d55fa67ba1ad829795a216ac011d685ffc25dccb94a9690593bbc01f14ef.png",labelloc=b];
0004938400 -> generated_expression_3943939590_6aa76c6ec19f9fcb0ec3de566213c1371ba3a1ec18077d129ef51376f7bb84a3;
generated_expression_3943939590_6aa76c6ec19f9fcb0ec3de566213c1371ba3a1ec18077d129ef51376f7bb84a3 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3943939590_6aa76c6ec19f9fcb0ec3de566213c1371ba3a1ec18077d129ef51376f7bb84a3.png",labelloc=b];
0009878900 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_LHSofexpr1equalsLHSofexpr2.png",labelloc=b];
generated_expression_3943939590_6aa76c6ec19f9fcb0ec3de566213c1371ba3a1ec18077d129ef51376f7bb84a3 -> 0009878900;
generated_expression_3943939590_6aa76c6ec19f9fcb0ec3de566213c1371ba3a1ec18077d129ef51376f7bb84a3 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3943939590_6aa76c6ec19f9fcb0ec3de566213c1371ba3a1ec18077d129ef51376f7bb84a3.png",labelloc=b];
generated_expression_2394240499_09b8c7ac72100f7b616ffac0c70f8991beafac63a064d084bd47c3e896c009c5 -> 0009878900;
generated_expression_2394240499_09b8c7ac72100f7b616ffac0c70f8991beafac63a064d084bd47c3e896c009c5 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2394240499_09b8c7ac72100f7b616ffac0c70f8991beafac63a064d084bd47c3e896c009c5.png",labelloc=b];
0009878900 -> generated_expression_1203938249_da85742467fbe928a0bae019a2db45e077e359c5db6b1c604616648a3b6c6e1b;
generated_expression_1203938249_da85742467fbe928a0bae019a2db45e077e359c5db6b1c604616648a3b6c6e1b [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1203938249_da85742467fbe928a0bae019a2db45e077e359c5db6b1c604616648a3b6c6e1b.png",labelloc=b];
0004838499 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_subtractXfrombothsides.png",labelloc=b];
generated_expression_1203938249_da85742467fbe928a0bae019a2db45e077e359c5db6b1c604616648a3b6c6e1b -> 0004838499;
generated_expression_1203938249_da85742467fbe928a0bae019a2db45e077e359c5db6b1c604616648a3b6c6e1b [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1203938249_da85742467fbe928a0bae019a2db45e077e359c5db6b1c604616648a3b6c6e1b.png",labelloc=b];
0004838499 -> generated_expression_3924948349_c394772317fcd1bd15ead55f1aebbb0f7db8e7f4085e47cb03a74b4051a2e56d;
generated_expression_3924948349_c394772317fcd1bd15ead55f1aebbb0f7db8e7f4085e47cb03a74b4051a2e56d [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3924948349_c394772317fcd1bd15ead55f1aebbb0f7db8e7f4085e47cb03a74b4051a2e56d.png",labelloc=b];
generated_feed_0005395034_5102680db86fde2e79222a59f70f5a4fd8e6a272f44f682846b77fd7f4f63688 -> 0004838499;
generated_feed_0005395034_5102680db86fde2e79222a59f70f5a4fd8e6a272f44f682846b77fd7f4f63688 [shape=box, color=red,label="",image="/code/static/generated_feed_0005395034_5102680db86fde2e79222a59f70f5a4fd8e6a272f44f682846b77fd7f4f63688.png",labelloc=b];
0009888730 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_combineliketerms.png",labelloc=b];
generated_expression_3924948349_c394772317fcd1bd15ead55f1aebbb0f7db8e7f4085e47cb03a74b4051a2e56d -> 0009888730;
generated_expression_3924948349_c394772317fcd1bd15ead55f1aebbb0f7db8e7f4085e47cb03a74b4051a2e56d [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3924948349_c394772317fcd1bd15ead55f1aebbb0f7db8e7f4085e47cb03a74b4051a2e56d.png",labelloc=b];
0009888730 -> generated_expression_2394935831_fdbec0e7591280907ee20ee0c324d3a5d397f36098cffa1cbb44ebacb51cb1fb;
generated_expression_2394935831_fdbec0e7591280907ee20ee0c324d3a5d397f36098cffa1cbb44ebacb51cb1fb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2394935831_fdbec0e7591280907ee20ee0c324d3a5d397f36098cffa1cbb44ebacb51cb1fb.png",labelloc=b];
0002384852 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declarefinalexpression.png",labelloc=b];
generated_expression_2394935831_fdbec0e7591280907ee20ee0c324d3a5d397f36098cffa1cbb44ebacb51cb1fb -> 0002384852;
generated_expression_2394935831_fdbec0e7591280907ee20ee0c324d3a5d397f36098cffa1cbb44ebacb51cb1fb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2394935831_fdbec0e7591280907ee20ee0c324d3a5d397f36098cffa1cbb44ebacb51cb1fb.png",labelloc=b];
}