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The 3-sphere is naturally a smooth manifold, in fact, a closed embedded submanifold of R 4. The Euclidean metric on R 4 induces a metric on the 3-sphere giving it the structure of a Riemannian manifold. As with all spheres, the 3-sphere has constant positive sectional curvature equal to 1 / r 2 where r is the radius.
Earth science. Earth science or geoscience includes all fields of natural science related to the planet Earth. [1] This is a branch of science dealing with the physical, chemical, and biological complex constitutions and synergistic linkages of Earth's four spheres: the biosphere, hydrosphere / cryosphere, atmosphere, and geosphere (or ...
Pedosphere – The outermost layer of the Earth that is composed of soil and subject to soil formation processes. Outer layers. By composition. Crust (geology) – The outermost solid shell of a rocky planet, dwarf planet, or natural satellite. Moho Discontinuity – The line between the crust and the Earth's mantle.
S 3: a 3-sphere is a sphere in 4-dimensional Euclidean space. Spheres for n > 2 are sometimes called hyperspheres. The n-sphere of unit radius centered at the origin is denoted S n and is often referred to as "the" n-sphere. The ordinary sphere is a 2-sphere, because it is a 2-dimensional surface which is embedded in 3-dimensional space.
Earth system science. An ecological analysis of CO. 2 in an ecosystem. As systems biology, systems ecology seeks a holistic view of the interactions and transactions within and between biological and ecological systems. Earth system science ( ESS) is the application of systems science to the Earth.
Spherical Earth or Earth's curvature refers to the approximation of the figure of the Earth as a sphere . The earliest documented mention of the concept dates from around the 5th century BC, when it appears in the writings of Greek philosophers. [1] [2] In the 3rd century BC, Hellenistic astronomy established the roughly spherical shape of ...
Hemispheres of Earth. In geography and cartography, hemispheres of Earth are any division of the globe into two equal halves ( hemispheres ), typically divided into northern and southern halves by the Equator or into western and eastern halves by the Prime meridian. Hemispheres can be divided geographically or culturally, or based on religion ...
The biosphere (which is technically a spherical shell) is virtually a closed system with regard to matter, [1] with minimal inputs and outputs. Regarding energy, it is an open system, with photosynthesis capturing solar energy at a rate of around 100 terawatts. [2] By the most general biophysiological definition, the biosphere is the global ...