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hierarchal

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The answer HIERARCHAL has 1 possible clue(s) in existing crosswords.

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The word HIERARCHAL is VALID in some board games. Check HIERARCHAL in word games in Scrabble, Words With Friends, see scores, anagrams etc.

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Definitions of hierarchal in various dictionaries:

adj - classified according to various criteria into successive levels or layers

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Possible Crossword Clues
According to ranking, hire, we hear, shrewd man

Last Seen in these Crosswords & Puzzles
May 30 2007 The Telegraph - Cryptic

Possible Dictionary Clues
Relating to a hierarch.
classified according to various criteria into successive levels or layers

Hierarchal might refer to
The Hierarchical equations of motion (HEOM) technique derived by Ryogo Kubo and Y. Tanimura in 1989, and generalized to arbitrary temperature and arbitrary spectral densities by N. Dattani in 2012, is a non-perturbative approach developed to study the evolution of a density matrix * * * * ρ * ( * t * ) * * * {\displaystyle \rho (t)} * of quantum dissipative systems. The method can treat system-bath interaction non-perturbatively as well as non-Markovian noise correlation times without the hindrance of the typical assumptions that conventional Redfield (master) equations suffer from such as the Born, Markovian and rotating-wave approximations. HEOM is applicable even at low temperatures where quantum effects are not negligible. * The hierarchical equation of motion for a system in a harmonic Markovian bath is* * * * * * ∂ * * ∂ * t * * * * * * * * ρ * ^ * * * * * n * * * = * − * i * ( * * * * * H * ^ * * * * * A * * * + * n * γ * ) * * * * * ρ * ^ * * * * * n * * * − * * * 1 * ℏ * * * * * * * V * ^ * * * * * × * * * * * * * ρ * ^ * * * * * n * + * 1 * * * + * * * * i * n * * ℏ * * * * * * Θ * ^ * * * * * * * * ρ * ^ * * * * * n * − * 1 * * * * * {\displaystyle {\frac {\partial }{\partial t}}{\hat {\rho }}_{n}=-i({\hat {H}}_{A}+n\gamma ){\hat {\rho }}_{n}-{1 \over \hbar }{\hat {V}}^{\times }{\hat {\rho }}_{n+1}+{in \over \hbar }{\hat {\Theta }}{\hat {\rho }}_{n-1}}

Hierarchal might refer to

The Hierarchical equations of motion (HEOM) technique derived by Ryogo Kubo and Y. Tanimura in 1989, and generalized to arbitrary temperature and arbitrary spectral densities by N. Dattani in 2012, is a non-perturbative approach developed to study the evolution of a density matrix
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* {\displaystyle {\frac {\partial }{\partial t}}{\hat {\rho }}_{n}=-i({\hat {H}}_{A}+n\gamma ){\hat {\rho }}_{n}-{1 \over \hbar }{\hat {V}}^{\times }{\hat {\rho }}_{n+1}+{in \over \hbar }{\hat {\Theta }}{\hat {\rho }}_{n-1}}

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