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Next: -
for Supernova Explosions Up: Evolution
of Supernova Explosion Previous: The
Supernovae Rates
- 
Dependence for the Supernova Explosions - 
is the fundamental means widely used in astronomy for determining the space
distribution of objects of different kinds, mostly galaxies, quasars, radiosources
and gamma-ray bursters. For a homogeneous space distribution
of sources, -
is a linear law with slope 3/2 (in other words, 
because 
and 
, where R is a distance to sample source).
If the slope is less than 3/2, the sources are spatially
concentrated towards the observer; in contrast, if it exceeds 3/2,
a deficit of sources in the neighborhood of the observer should exist.
In the case of supernova explosions, it is more reasonable to use the
stellar magnitude m instead of
. Then, for the homogeneous space distribution of sources, the
-
dependence would be 
, where C is some constant.
However, for distant objects
- depends not only
on the space distribution of the sources, but also on some other factors.
The first is the cosmological space-time curvature which changes the S(R)
and N(R) laws, and the second is the
proper evolution of the source luminosity and rate.