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In complex geometry, a line through the origin in the direction of an isotropic vector is an isotropic line. Isotropic coordinates Isotropic coordinates are coordinates on an isotropic chart for Lorentzian manifolds. Isotropy group An isotropy group is the group of isomorphisms from any object to itself in a groupoid.
The equal sign refers to a reversible process, which is an imagined idealized theoretical limit, never actually occurring in physical reality, with essentially equal temperatures of system and surroundings. [10] [11] For an isentropic process, if also reversible, there is no transfer of energy as heat because the process is adiabatic; δQ = 0 ...
Regulation of biological processes occurs when any process is modulated in its frequency, rate or extent. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
In particular, every orthonormal set of vectors is isotropic. As a related definition, a convex body in is called isotropic if it has volume | | =, center of mass at the origin, and there is a constant > such that , = | |, for all vectors in ; here | | stands for the standard Euclidean norm.
Therefore, for cubic materials, we can think of anisotropy, , as the ratio between the empirically determined shear modulus for the cubic material and its (isotropic) equivalent: = / [(+)] = (+). The latter expression is known as the Zener ratio , a r {\displaystyle a_{r}} , where C i j {\displaystyle C_{ij}} refers to elastic constants in ...
In probability theory, an isotropic measure is any mathematical measure that is invariant under linear isometries. It is a standard simplification and assumption used in probability theory. It is a standard simplification and assumption used in probability theory.
Isotropic bands contain only actin-containing thin filaments. [1] The thin filaments are placed between 2 myosin filaments and contain only the actin filaments of neighboring sarcomeres . Bisecting the I band and serving as an anchoring point for the two adjacent actin filaments is the Z disc.
Isotropic formulations are thermodynamically stable microemulsions possessing lyotropic liquid crystal properties. [1] They inhabit a state of matter and physical behaviour somewhere between conventional liquids and that of solid crystals . [ 2 ]