Hilbert Book Model Project/Slide F3

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hbmp Template:Center topHilbert Book Model ProjectTemplate:Center bottom F3

The quaternionic field equations offer Template:Font order partial differential equations

χ=*φ=*ψ=*ψ=(r)(φr+φ)=(r+)(r)(ψr+ψ)=
 ψ=(rr+,)ψ
This equation splits into Template:Font order partial differential equations

χ=*φ

φ=ψ

ζ= ψ=(rr,)ψ is the Template:Font Template:Font

is the Template:Font version of Template:Font operator

The Template:Font versions of both second order differential equations
offer Template:Font as part of their Template:Font
These shock fronts occur in Template:Font
Separate shock fronts cannot be observed

The Template:Font d'Alembert's equation offers Template:Font as part of its solutions

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