11. The notion of isotropy , for properties independent of direction, is not a consequence of homogeneity. 12. Under normal conditions, the diffraction pattern has circular symmetry, expressing the isotropy of the liquid. 13. Cosmic isotropy and homogeneity are important as they are the basis of the modern standard model of cosmology. 14. The rest is some vague, hard-to-follow stuff on isotropy in computer graphics and cosmology. 15. The isotropy / anisotropy of a two-dimensional window function is shared by its two-dimensional Fourier transform. 16. Conversely, symmetric spaces with compact isotropy group are Riemannian symmetric spaces, although not necessarily in a unique way. 17. Thus, large scale isotropy is due to quantum fluctuations produced during cosmic inflation that are pushed outside the horizon. 18. The existence of an isotropy scale is determined by the length scale at which the Back-reaction parameter vanishes. 19. A series of one-way measurements were undertaken, all of them confirming the isotropy of the speed of light. 20. For the space of stable maps is an orbifold, whose points of isotropy can contribute noninteger values to the invariant.
