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Each iteration of the Sierpinski triangle contains triangles related to the next iteration by a scale factor of 1/2. In affine geometry, uniform scaling (or isotropic scaling [1]) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions (isotropically).
Caustic black water from the Eaton Fire rushes by in the Eaton Wash near Altadena, California, as an atmospheric river bring heavy rains on February 13, 2025. Contributing: Christopher Cann, USA TODAY
A manifold is isotropic if the geometry on the manifold is the same regardless of direction. A similar concept is homogeneity. Isotropic quadratic form A quadratic form q is said to be isotropic if there is a non-zero vector v such that q(v) = 0; such a v is an isotropic vector or null vector.
Vivari Channel in Albania links Lake Butrint with the Straits of Corfu. In physical geography and hydrology, a channel is a landform on which a relatively narrow body of water is situated, such as a river, river delta or strait. While channel typically refers to a natural formation, the cognate term canal denotes a similar artificial structure.
The Line Fire in Southern California has scorched over 20,000 acres of land and forced thousands of evacuations as firefighters battle the fast-moving flames.
An aerial view of utility vehicles parked near beachfront homes destroyed in the Palisades Fire as wildfires cause damage and loss through the L.A. region on Jan. 13, 2025 in Malibu, California.
"Dissipation of Energy in Locally Isotropic Turbulence". Proceedings of the USSR Academy of Sciences (in Russian). 32: 16– 18. Translated into English: Kolmogorov, Andrey Nikolaevich (8 July 1991). "Dissipation of energy in the locally isotropic turbulence" (PDF). Proceedings of the Royal Society A. 434 (1980): 15– 17. Bibcode:1991RSPSA.434 ...
Schematic illustration of production, energy cascade and dissipation in the energy spectrum of turbulence. The largest motions, or eddies, of turbulence contain most of the kinetic energy, whereas the smallest eddies are responsible for the viscous dissipation of turbulence kinetic energy.