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Index Index

Antisymmetry Subsection

boltzmann entropy Section

clauseius entropy Section

conjugate momenta Item

conserved in time Definition

entropy Section

Euler’s method Subsection

first-principles Subsection

first-principles reasoning Section Glossary

generalized coordinates Item

geometric algebra Item

geometric product Definition

gibbs entropy Section

Hamiltonian (classical mechanics) Definition

Hamiltonian mechanics Section Subsection

Hamilton’s Canonical Equations Theorem

Jacobi identity Subsection

Leibniz rule Subsection

Newton’s Laws Assumption

Newton’s method Subsection

Noether’s theroem Section

numerical integration Subsection Glossary

phase space Item

Poisson bracket Item Subsection Glossary

positive semi-definite Item

power spectral density Item Glossary

probability density functions Subsection

quantum information Section

regression methods Subsection Glossary

root-finding algorithms Subsection Glossary

shannon entropy Section

symplectic geometry Theorem

the action Subsection

The Lagrangian Subsection

The Laws of Thermodynamics Assumption

trapezoidal rule Subsection

vector space Item