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===Highly-complex systems=== ...ematicalFoundationsOfQuantumTheories/|dynamics]] and the simple algebra of physical dynamics, as shown in the following, essentially ''[[../AbelianCategory3/|n ...

===Physical Meaning=== Building physical intuition about the divergence of a vector field can be gained by consideri ...

...ontributed new topic on [[../PhysicalMathematics2/|mathematical physics]], physical mathematics, and their various applications in: engineering, industry, medi ===Mathematical Physics and Physical Mathematics=== ...

.../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]]. ...nted by Rosetta biogroupoids, together with the complex--albeit inanimate--systems with chaos. With the emergence of the ultra-complex system of the human min ...

==Complex Systems Biophysics== ''Complex Systems Biophysics (<math>CSB</math>)'' or ...

...sAndTopologicalEquivalence/|systems]], as well as complex or super-complex systems (biodynamics). ...Subsequently, a complex class of categorical, dynamic <math>(M,R)</math>--systems representing the categorical dynamics involved in metabolic--replication pr ...

...e is the main reason that fermions are the building blocks of the existing physical world, and for the stability of the [[../MolecularOrbitals/|electron orbita ...a unique, fundamental state of all stable matter in our [[../MultiVerses/|physical Universe]]. ...

insufficient foundation for the physical description of all natural broad basis for the theoretical presentation of all physical ...

...n(1987) showed that complex [[../ContinuousGroupoidHomomorphism/|dynamical systems]], [[../SupercomputerArchitercture/|computer]] simulation--whereas the simple (`physical'/ engineering) ...

...entry the attribute `axiomatic' will be employed only with the meaning of `physical-axiomatic', or `physically-postulated'.) ...cal ones, emerged as a result of numerous experimental studies and crucial physical experiments that can be logically and consistently explained ...

...that is travels the same distance with respect to <math>K'</math> in both systems However the physical situation seen from the coordinate system <math>K'</math> is identical as s ...

...dy interaction]] between the [[Mental state|psychical]] (mental) and the [[physical state]]s in an isolated [[Psyche (psychology)|psyche]]-[[physis]] system. ...ntifying how closely changes in psychical states correlate with changes in physical states, though this would still rely heavily on empirical measurement. ...

.../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]]. ...

.../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]]. ...

===Time and Microentropy: Irreversibility in Open Systems=== .../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]] with strong enough instability of [[../CosmologicalConstant/|motion]] the ...

...s that every continuous symmetry of a [[../PrincipleOfCorrespondingStates/|physical law]] that can be formulated as an action principle leads to a conserved qu ...ltonian2/|Hamiltonian]] formalism of classical mechanics, where mechanical systems are described in terms of generalised coordinates and generalised momenta. ...

...of [[../SR/|space-time]] co-ordinates which allowed of a simple and direct physical x_4<math> (co-ordinates), which have not the least direct physical ...

.../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]] <ref name='RKB-MW2k4'/>. The exact solutions of SIT equations have nonlin ...defined as solutions of the quantum attractive NLS model that exhibit the physical properties described in ref. ...

===Dynamic Adjointness, Similarity and Analogous Systems.=== #''Comparing Systems: Similarity [[../Bijective/|relations]]''; ...

...on. Being a dimensionless quantity, it has constant numerical value in all systems of units. [[w:Arnold Sommerfeld |Arnold Sommerfeld]] introduced the fine-st Some equivalent definitions of ''α'' in terms of other fundamental physical constants are: ...