The Singular Isothermal Sphere (SIS) profile is a mathematical model used in astrophysics and cosmology to describe the distribution of matter, particularly dark matter, in galaxy halos or clusters of galaxies. This model is particularly relevant in the context of gravitational lensing and the dynamics of galaxies. ### Key Features of the SIS Profile: 1. **Density Distribution**: The mass density \( \rho(r) \) of a singular isothermal sphere decreases with distance from the center.
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