In the geometry of quadratic forms, an isotropic line or null line is a line for which the quadratic form applied to the displacement vector between any...

complex geometry, a line through the origin in the direction of an isotropic vector is an isotropic line. Isotropic coordinates Isotropic coordinates are...

In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero. Otherwise it...

An isotropic radiator is a theoretical point source of waves which radiates the same intensity of radiation in all directions. It may be based on sound...

structure, curves that represent a variety of different types of world line Isotropic line Feynman diagram Time geography Harvey, F. Reese (1990). "Special...

effective isotropic radiated power (EIRP). Effective isotropic radiated power is the hypothetical power that would have to be radiated by an isotropic antenna...

Geometrically, an isotropic line of the quadratic form corresponds to a point of the associated quadric hypersurface in projective space. Such a line is additionally...

Riemannian manifolds Intrinsic metric – Concept in geometry/topology Isotropic line Jacobi field Morse theory – Analyzes the topology of a manifold by studying...

Point-collimation allows the orientation of non-isotropic systems (fibres, sheared liquids) to be determined. Line-collimation instruments restrict the beam...

the Schwarzschild chart, but the isotropic chart is also often useful. The defining characteristic of an isotropic chart is that its radial coordinate...

paramagnetic environment is called the hyperfine shift. In solution the isotropic hyperfine chemical shift for nickelocene is −255 ppm, which is the difference...

Exterior derivative Integrability conditions for differential systems Isotropic line CAT(k) space Einstein – Cartan theory Hermitian symmetric space Moving...

accepted by the antenna were isotropically radiated". Usually this ratio is expressed in decibels with respect to an isotropic radiator (dBi). An alternative...

publ., 1972 ISBN 0-8284-0263-9) More than 80 articles on Nundam.org.p Isotropic line q-Laguerre polynomials Big q-Laguerre polynomials Discrete Laguerre...

magnetic field at the nucleus, which can be modified by isotropic (e.g. chemical shift, isotropic J-coupling) and anisotropic interactions (e.g. chemical...

the quadratic form is positive-definite. When 0 < k < n, then q is an isotropic quadratic form. Note that if 1 ≤ i ≤ k < j ≤ n, then q(ei + ej) = 0, so...

counter-sphere N = {x ∈ X : Q(x) = −k}. Furthermore, if k ≠ 0 and L is an isotropic line in X through x = 0, then L ∩ (P ∪ N) = ∅, puncturing the union of quasi-sphere...

SO(3,4), and P is the intersection of G with the stabilizer of the isotropic line spanned by the first standard basis vector in R7 viewed as the purely...

raised up in the air. Isotropic antenna The last section is for a unique type of "fake" antenna, called an isotropic antenna or isotropic radiator. It is a...

IEEE Std 145-1993, defines free-space loss as "The loss between two isotropic radiators in free space, expressed as a power ratio." It does not include...

Electrons are bound to the atomic nucleus analogously to springs of different strengths, AKA springs that are not isotropic, AKA anisotropic....

anchors the actin myofilaments. Surrounding the Z-line is the region of the I-band (for isotropic). I-band is the zone of thin filaments that is not...

Unsolved problem in physics: Is the universe homogeneous and isotropic at large enough scales, as claimed by the cosmological principle and assumed by...

\mathbb {C} ^{p+q}} , where P {\displaystyle P} is the stabilizer of an isotropic line (see CR manifold) contact projective geometry, the study of manifolds...

averaged over all directions. Therefore, the directivity of a hypothetical isotropic radiator is 1, or 0 dBi. An antenna's directivity is greater than its...

versus unsaturated; aquifers versus aquitards; confined versus unconfined; isotropic versus anisotropic; porous, karst, or fractured; transboundary aquifer...

Substances that expand at the same rate in every direction are called isotropic. For isotropic materials, the area and volumetric thermal expansion coefficient...

coordinates Gaussian polar coordinates Gullstrand–Painlevé coordinates Isotropic coordinates Kruskal–Szekeres coordinates Schwarzschild coordinates Woods...

Michelson–Morley experiment is that the round-trip travel time for light is isotropic (independent of direction), but the result alone is not enough to discount...

signals and antennas (Fig. 3). If the medium is magnetically isotropic but electrically non-isotropic (like a doubly-refracting crystal), the magnetic vectors...