Difference between revisions of "Hamiltonian mechanics"

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It has the following equational form:
It has the following equational form:
:<math>\mathcal{H} = T + V \quad , \quad T = \frac{p^2}{2m} \quad , \quad V = V(q) </math>
:<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]].
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=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

  1. Vysotskaya, Anna (July 24, 2018). "Accounting Games: Using Matrix Algebra in Creating the Accounting Models". local page: Mathematics. 
  2. 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.