Hilbert Book Model Project/Slide S4

hbmp	Hilbert Book Model Project	S4
	Symmetry centers ${𝔖}_n^x$ represent spherically ordered parameter spaces in regions $H_n^x$ that float on a background parameter space $\Re$
	The boundaries $\partial H_n^x$ separate the regions $H_n^x$ from the domain Template:Font
	The regions $H_n^x$ are platforms for local discontinuities in basic fields. These fields are continuous in domain $\mathrm{\Omega }-H$ $H=\bigcup _{n=1}^N{H}_n^x$
	The symmetry centers ${𝔖}_n^x$ are encapsulated in regions $H_n^x$ and the encapsulating boundary $\partial H_n^x$is not part of the disconnected boundary, which encapsulates all continuous parts of the quaternionic manifold $\omega$ that exist in the quaternionic model
	$\underset{\mathrm{\Omega }-H}{\int }d\omega =\underset{\partial \mathrm{\Omega }\cup \partial H}{\int }\omega =\underset{\partial \mathrm{\Omega }}{\int }\omega -\sum _{k=1}^N\underset{\partial H_n^x}{\int }\omega$
Prev		Next