Difference between revisions of "Hamiltonian mechanics"
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[[wikipedia:Hamiltonian mechanics|Hamiltonian mechanics]] is a form of energy conservation formulation or [[symmetry-preserving]] principle that has a major influence in modern sciences. | [[wikipedia:Hamiltonian mechanics|Hamiltonian mechanics]] is a form of energy conservation formulation or [[symmetry-preserving]] principle that has a major influence in modern sciences. | ||
It has the following equational form: | |||
:<math>\mathcal{H} = T + V \quad , \quad T = \frac{p^2}{2m} \quad , \quad V = V(q) </math> | |||
Note: The above formulation is similar to the [[wikipedia:accounting equation|accounting equation]]: | |||
Asset = Liability + Equity | |||
It was known that William Hamilton had explicitly attribute the inspiration of [[matrix algebra]]<ref>{{:Paper/Accounting Games}}</ref><ref>{{:BOOK/Algebraic Models for Accounting Systems | |||
}}</ref> to [[Luca Pacioli]]'s work on [[wikipedia:accounting equation|accounting equation]]. | |||
<noinclude> | |||
=References= | |||
<references/> | |||
</noinclude> |
Latest revision as of 04:40, 6 August 2021
Hamiltonian mechanics is a form of energy conservation formulation or symmetry-preserving principle that has a major influence in modern sciences.
It has the following equational form:
Note: The above formulation is similar to the accounting equation:
Asset = Liability + Equity
It was known that William Hamilton had explicitly attribute the inspiration of matrix algebra[1][2] to Luca Pacioli's work on accounting equation.
References
- ↑ Vysotskaya, Anna (July 24, 2018). "Accounting Games: Using Matrix Algebra in Creating the Accounting Models". local page: Mathematics.
- ↑ Cruz Rambaud, Salvador; A. Nehmer, Robert; J. S. Robinson, Derek (March 2010). Algebraic Models for Accounting Systems. World Scientific. p. 256. ISBN 978-981-4287-11-1.