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study_fields.dot
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/*
https://graphviz.org/Gallery/undirected/gd_1994_2007.html
*/
digraph g {
fontname="Helvetica,Arial,sans-serif"
node [fontname="Helvetica,Arial,sans-serif", shape="record", style="rounded"]
edge [fontname="Helvetica,Arial,sans-serif"]
layout = fdp;
splines = true;
concentrate=true;
subgraph "cluster_quantum computing" {
label = "<b>Quantum computing<b>";
penwidth = 0.5;
style = "rounded, dashed"
color = "#CC79A7"
qiskit [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Qiskit - IBM Quantum Algorithm Library</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'> </td>
</tr>
</table>
>
]
cirq [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Cirq - Microsoft Quantum Algorithm Library</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'> </td>
</tr>
</table>
>
]
quantum_computing [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Quantum Computing Overview</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'> </td>
</tr>
</table>
>
]
quantum_computing_cooling [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Cooling Quantum Devices</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'> </td>
</tr>
</table>
>
]
label = "quantum computing";
dirac_notation [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Dirac Notation</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'> https://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation</td>
</tr>
</table>
>
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}
subgraph "cluster_physics" {
label = "<b>Physics<b>";
penwidth = 0.5;
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single_electron_transistor [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Single Electron Transistor</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>A sensitive electronic<br/>device based on the<br/>Coulomb blockade effect </td>
</tr>
</table>
>
]
quantum_mechanics [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Quantum Mechanics</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>NEED DESC </td>
</tr>
</table>
>
]
electron [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>The Electron</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>A fundamental Quantum<br/>Particle </td>
</tr>
</table>
>
]
label = "physics";
coulomb_blockade [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Coloumb Blockade</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Stepped, staggered flow<br/>of electrons, based on<br/>the bias-voltage across a<br/>conductance tunnel<br/>junction </td>
</tr>
</table>
>
]
general_relativity [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>General Relativity</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'> </td>
</tr>
</table>
>
]
special_relativity [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Special Relativity</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'> </td>
</tr>
</table>
>
]
quantum_numbers [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Quantum numbers</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Four s, l, m and q </td>
</tr>
</table>
>
]
aufbau_principle [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Aufbau Principle</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Electrons fill the lowest<br/>energy first. Order in<br/>which electrons fill the<br/>orbitals </td>
</tr>
</table>
>
]
hunds_rule [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>hunds rule</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>hunds rule </td>
</tr>
</table>
>
]
electron_orbitals [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>electron_orbitals</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>how electrons hang about<br/>a nucleus </td>
</tr>
</table>
>
]
pauli_exclusion [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Pauli Exclusion Principle</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>number of electron field<br/>energies for a given<br/>atom; no two electrons<br/>can have the same set of<br/>quantum numbers </td>
</tr>
</table>
>
]
fermi_gas [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Fermi Gas</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>related to <b>Electron<br/>Gas</b> </td>
</tr>
</table>
>
]
nmr [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Nuclear Magnetic Resonance</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Nuclear magnetic resonance<br/>(NMR) is a physical<br/>phenomenon in which nuclei<br/>in a strong constant<br/>magnetic field are<br/>perturbed by a weak<br/>oscillating magnetic field<br/>(in the near field) and<br/>respond by producing an<br/>electromagnetic signal<br/>with a frequency<br/>characteristic of the<br/>magnetic field at the<br/>nucleus. </td>
</tr>
</table>
>
]
einsteins_equation [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Einsteins Equation</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>In the general theory of<br/>relativity, the Einstein<br/>field equations relate<br/>the geometry of spacetime<br/>to the distribution of<br/>matter within it. </td>
</tr>
</table>
>
]
hamiltonian [
shape = none,
label=<<table border="0" style="rounded" color='#F0E442'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#F0E442'>Hamiltonian</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>In quantum mechanics, the<br/>Hamiltonian of a system<br/>is an operator<br/>corresponding to the<br/>total energy of that<br/>system, including both<br/>kinetic energy and<br/>potential energy. </td>
</tr>
</table>
>
]
}
subgraph "cluster_maths" {
label = "<b>Maths<b>";
penwidth = 0.5;
style = "rounded, dashed"
color = "#CC79A7"
linear_algebra [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Linear Algebra</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Vectors, Matrices,<br/>Tensors </td>
</tr>
</table>
>
]
differential_calculus [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Differential Calculus</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Differential calculus is<br/>about finding the rate of<br/>change of one quantity<br/>with respect to another<br/>quantity. </td>
</tr>
</table>
>
]
complex_numbers [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Complex Numbers</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Complex numbers are the<br/>field C of numbers of the<br/>form x+iy, where x and y<br/>are real numbers and i is<br/>the imaginary unit equal<br/>to √-1 </td>
</tr>
</table>
>
]
integral_calculus [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Integral Calculus</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Integral Calculus is the<br/>branch of calculus where<br/>we study integrals and<br/>their properties.<br/>Integration is an<br/>essential concept which<br/>is the inverse process of<br/>differentiation </td>
</tr>
</table>
>
]
probabilities [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Probabilities and Statistics</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'> </td>
</tr>
</table>
>
]
euclidean_geometry [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Euclidean Geometry</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Euclidean geometry, the<br/>study of plane and solid<br/>figures on the basis of<br/>five axioms, and theorems<br/>employed by the Greek<br/>mathematician Euclid (c.<br/>300 bce). </td>
</tr>
</table>
>
]
non_euclidean_geometry [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Non Euclidean Geometry</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Non-Euclidean geometry is<br/>the study of geometry on<br/>surfaces which are not<br/>flat; e.g. spacetime in<br/>our universe </td>
</tr>
</table>
>
]
differential_geometry [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Differential Geometry</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Differential geometry is<br/>a mathematical discipline<br/>that studies the geometry<br/>of smooth shapes and<br/>smooth spaces, otherwise<br/>known as smooth<br/>manifolds. </td>
</tr>
</table>
>
]
geometry [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Geometry</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Geometry is all about<br/>shapes and their<br/>properties. </td>
</tr>
</table>
>
]
algebra [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Algebra</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Algebra is the part of<br/>mathematics that helps<br/>represent problems or<br/>situations in the form of<br/>mathematical expressions </td>
</tr>
</table>
>
]
calculus [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Calculus</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>Calculus is the<br/>mathematical study of<br/>change, in the same way<br/>that geometry is the<br/>study of shape and<br/>algebra is the study of<br/>operations and their<br/>application to solving<br/>equations </td>
</tr>
</table>
>
]
hilbert_space [
shape = none,
label=<<table border="0" style="rounded" color='#56B4E9'>
<tr border="0">
<td style="rounded" border="1" bgcolor='#56B4E9'>Hilbert Space</td>
</tr>
<tr border="0">
<td style="rounded" border="1" bgcolor='#ffffff'>A Hilbert space is a<br/>mathematical concept<br/>covering the extra-<br/>dimensional use of<br/>Euclidean space—i.e., a<br/>space with more than<br/>three dimensions. A<br/>Hilbert space uses the<br/>mathematics of two and<br/>three dimensions to try<br/>and describe what happens<br/>in greater than three<br/>dimensions. </td>
</tr>
</table>
>
]
label = "maths";
}
/* resources */
vid_aufbau_hund_pauli [ label="Aufbau principle,\nHund's rule & Pauli\nexclusion principle", tooltip="https://www.youtube.com/watch?v=9ra0BHbHdoA", URL="https://www.youtube.com/watch?v=9ra0BHbHdoA"]
vid_prof_dave_quant_no_atomic_electron [ label="Prof Dave - Quantum\nNumbers, Atomic\nOrbitals, and\nElectron\nConfigurations", tooltip="https://www.youtube.com/watch?v=Aoi4j8es4gQ", URL="https://www.youtube.com/watch?v=Aoi4j8es4gQ"]
vid_linear_algebra [ label="3Blue1Brown - Linear\nAlgebra - Series", tooltip="https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab", URL="https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab"]
lessons_gilbert_strang_diff_equations_lin_alg [ label="Online Course -\nDifferential\nEquations and Linear\nAlgebra - Gilbert\nStrang", tooltip="https://ocw.mit.edu/courses/res-18-009-learn-differential-equations-up-close-with-gilbert-strang-and-cleve-moler-fall-2015/pages/differential-equations-and-linear-algebra/", URL="https://ocw.mit.edu/courses/res-18-009-learn-differential-equations-up-close-with-gilbert-strang-and-cleve-moler-fall-2015/pages/differential-equations-and-linear-algebra/"]
lessons_khan_acadamy_diff_equations [ label="Khan Academy -\nDifferential\nEquations", tooltip="https://www.khanacademy.org/math/differential-equations", URL="https://www.khanacademy.org/math/differential-equations"]
definition_fermi_gas [ label="Wikipedia - Fermi\nGas", tooltip="https://en.wikipedia.org/wiki/Fermi_gas", URL="https://en.wikipedia.org/wiki/Fermi_gas"]
singleelectrontransistorwikipedia [ label="Single-electron\ntransistor -\nWikipedia", tooltip="https://en.wikipedia.org/wiki/Single-electron_transistor", URL="https://en.wikipedia.org/wiki/Single-electron_transistor"]
coulombblockadewikipedia [ label="Coulomb blockade -\nWikipedia", tooltip="https://en.wikipedia.org/wiki/Coulomb_blockade", URL="https://en.wikipedia.org/wiki/Coulomb_blockade"]
quantumcomputingwithandreamorelloyoutube [ label="Quantum Computing\nwith Andrea Morello\n- YouTube", tooltip="https://www.youtube.com/watch?v=jDW9bWSepB0", URL="https://www.youtube.com/watch?v=jDW9bWSepB0"]
nmrspectroscopyyoutube [ label="NMR Spectroscopy -\nYouTube", tooltip="https://www.youtube.com/watch?v=SBir5wUS3Bo&t=554s", URL="https://www.youtube.com/watch?v=SBir5wUS3Bo&t=554s"]
seancarrollextractingtheuniversefromthewavefunctionyoutube [ label="Sean Carroll:\nExtracting the\nuniverse from the\nwave function -\nYouTube", tooltip="https://www.youtube.com/watch?v=HOssfva2IBo&t=160s", URL="https://www.youtube.com/watch?v=HOssfva2IBo&t=160s"]
physicistseancarrollonthebiggestideasintheuniverseyoutube [ label="Einsteins Equation -\nPhysicist Sean\nCarroll - The\nBiggest Ideas in the\nUniverse - YouTube", tooltip="https://www.youtube.com/watch?v=CH39SDlxon4&t=3041s", URL="https://www.youtube.com/watch?v=CH39SDlxon4&t=3041s"]
insideeinsteinsmindfullspecialnovapbsamericayoutube [ label="Einstein - General\nRelativity - PBS\nAmerica - YouTube", tooltip="https://www.youtube.com/watch?v=7CZyDPELXs4", URL="https://www.youtube.com/watch?v=7CZyDPELXs4"]
thehistoryofmathematicsdocumentaryyoutube [ label="The HISTORY of\nMATHEMATICS.\nDocumentary -\nYouTube", tooltip="https://www.youtube.com/watch?v=2WcbPcGrQZU&t=4s", URL="https://www.youtube.com/watch?v=2WcbPcGrQZU&t=4s"]
whatdoesanelectronlooklikeyoutube [ label="What Does an\nElectron Look Like?\n- YouTube", tooltip="https://www.youtube.com/watch?v=zZ5ww6aYAZ8&t=38s", URL="https://www.youtube.com/watch?v=zZ5ww6aYAZ8&t=38s"]
quantumcoolingtonearabsolutezeroyoutube [ label="Quantum Cooling to\n(Near) Absolute Zero\n- YouTube", tooltip="https://www.youtube.com/watch?v=7jT5rbE69ho", URL="https://www.youtube.com/watch?v=7jT5rbE69ho"]
richardfeynmanquantummechanicalviewofreality1youtube [ label="Richard Feynman:\nQuantum Mechanical\nView of Reality 1 -\nYouTube", tooltip="https://www.youtube.com/watch?v=ZcpwnozMh2U&t=3056s", URL="https://www.youtube.com/watch?v=ZcpwnozMh2U&t=3056s"]
nuclearmagneticresonancewikipedia [ label="Nuclear magnetic\nresonance -\nWikipedia", tooltip="https://en.wikipedia.org/wiki/Nuclear_magnetic_resonance", URL="https://en.wikipedia.org/wiki/Nuclear_magnetic_resonance"]
howgeometrycreatedmodernphysicswithyanghuiheyoutube [ label="How geometry created\nmodern physics –\nwith Yang-Hui He -\nYouTube", tooltip="https://www.youtube.com/watch?v=z8jdndd-x7w", URL="https://www.youtube.com/watch?v=z8jdndd-x7w"]
ila6thed2023 [ label="BOOK - Introduction\nto Linear Algebra,\n6th Ed. (2023) -\nGilbert Strang", tooltip="https://math.mit.edu/~gs/linearalgebra/ila6/indexila6.html", URL="https://math.mit.edu/~gs/linearalgebra/ila6/indexila6.html"]
complexnumbersyoutube [ label="Complex Numbers -\nEddie Woo - YouTube", tooltip="https://www.youtube.com/playlist?list=PL5KkMZvBpo5CE__2qeqZQa5e8gSkt1Ypy", URL="https://www.youtube.com/playlist?list=PL5KkMZvBpo5CE__2qeqZQa5e8gSkt1Ypy"]
introductiontodifferentiationyoutube [ label="Introduction to\nDifferentiation -\nEddie Woo - YouTube", tooltip="https://www.youtube.com/playlist?list=PL5KkMZvBpo5DwIsDKWdHYmkRZmXMi1mE8", URL="https://www.youtube.com/playlist?list=PL5KkMZvBpo5DwIsDKWdHYmkRZmXMi1mE8"]
complexnumbersalgebra2mathkhanacademy [ label="Complex numbers -\nAlgebra 2 - Math -\nKhan Academy", tooltip="https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex", URL="https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex"]
differential_calculus_syd_unsw_book [ label="Sydney University -\nIntroduction to\nDifferential\nCalculus", tooltip="https://www.sydney.edu.au/content/dam/students/documents/mathematics-learning-centre/introduction-to-differential-calculus.pdf", URL="https://www.sydney.edu.au/content/dam/students/documents/mathematics-learning-centre/introduction-to-differential-calculus.pdf"]
understanding_einsteins_equation_general_relativity [ label="How to understand\nEinstein’s equation\nfor general\nrelativity", tooltip="https://bigthink.com/starts-with-a-bang/einstein-general-theory-relativity-equation/", URL="https://bigthink.com/starts-with-a-bang/einstein-general-theory-relativity-equation/"]
/* relationships */
electron_orbitals -> pauli_exclusion [ label="relates_to"]
vid_aufbau_hund_pauli -> aufbau_principle [ label="explains"]
vid_aufbau_hund_pauli -> hunds_rule [ label="explains"]
vid_aufbau_hund_pauli -> pauli_exclusion [ label="explains"]
vid_linear_algebra -> linear_algebra [ label="teaches"]
vid_prof_dave_quant_no_atomic_electron -> quantum_numbers [ label="teaches"]
vid_prof_dave_quant_no_atomic_electron -> electron_orbitals [ label="teaches"]
lessons_gilbert_strang_diff_equations_lin_alg -> linear_algebra [ label="teaches"]
lessons_gilbert_strang_diff_equations_lin_alg -> differential_calculus [ label="teaches"]
lessons_khan_acadamy_diff_equations -> differential_calculus [ label="teaches"]
definition_fermi_gas -> fermi_gas [ label="explains"]
singleelectrontransistorwikipedia -> single_electron_transistor [ label="explains"]
coulombblockadewikipedia -> coulomb_blockade [ label="explains"]
single_electron_transistor -> coulomb_blockade [ label="relates_to"]
physicistseancarrollonthebiggestideasintheuniverseyoutube -> general_relativity [ label="explains"]
insideeinsteinsmindfullspecialnovapbsamericayoutube -> general_relativity [ label="explains"]
whatdoesanelectronlooklikeyoutube -> electron [ label="explains"]
richardfeynmanquantummechanicalviewofreality1youtube -> quantum_mechanics [ label="explains"]
nmrspectroscopyyoutube -> nmr [ label="explains"]
quantumcomputingwithandreamorelloyoutube -> quantum_computing [ label="explains"]
quantumcoolingtonearabsolutezeroyoutube -> quantum_computing_cooling [ label="explains"]
nuclearmagneticresonancewikipedia -> nmr [ label="explains"]
electron_orbitals -> electron [ label="relates_to"]
howgeometrycreatedmodernphysicswithyanghuiheyoutube -> euclidean_geometry [ label="relates_to"]
howgeometrycreatedmodernphysicswithyanghuiheyoutube -> geometry [ label="relates_to"]
howgeometrycreatedmodernphysicswithyanghuiheyoutube -> algebra [ label="relates_to"]
howgeometrycreatedmodernphysicswithyanghuiheyoutube -> calculus [ label="relates_to"]
howgeometrycreatedmodernphysicswithyanghuiheyoutube -> special_relativity [ label="relates_to"]
howgeometrycreatedmodernphysicswithyanghuiheyoutube -> general_relativity [ label="relates_to"]
howgeometrycreatedmodernphysicswithyanghuiheyoutube -> differential_geometry [ label="relates_to"]
differential_geometry -> differential_calculus [ label="relates_to"]
differential_calculus -> calculus [ label="relates_to"]
integral_calculus -> calculus [ label="relates_to"]
differential_geometry -> geometry [ label="relates_to"]
euclidean_geometry -> geometry [ label="relates_to"]
non_euclidean_geometry -> geometry [ label="relates_to"]
seancarrollextractingtheuniversefromthewavefunctionyoutube -> einsteins_equation [ label="explains"]
seancarrollextractingtheuniversefromthewavefunctionyoutube -> hilbert_space [ label="explains"]
seancarrollextractingtheuniversefromthewavefunctionyoutube -> hamiltonian [ label="explains"]
ila6thed2023 -> linear_algebra [ label="teaches"]
complexnumbersyoutube -> complex_numbers [ label="teaches"]
introductiontodifferentiationyoutube -> differential_calculus [ label="teaches"]
complexnumbersalgebra2mathkhanacademy -> complex_numbers [ label="teaches"]
differential_calculus_syd_unsw_book -> differential_calculus [ label="teaches"]
understanding_einsteins_equation_general_relativity -> einsteins_equation [ label="explains"]
general_relativity -> einsteins_equation [ label="relates_to"]
}