Isotropic formulations are thermodynamically stable microemulsions possessing lyotropic liquid crystal properties. They inhabit a state of matter and physical...

formidable barrier to the permeation of most substances. Recently, isotropic formulations have been used extensively in dermatology for drug delivery. Imaging...

abstract formulations of classical mechanics and analytical mechanics as the cotangent bundles of manifolds. For example, in the Hamiltonian formulation of...

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

C_{ijkl}=C_{klij}=C_{jikl}=C_{ijlk}} . An elastostatic boundary value problem for an isotropic-homogeneous media is a system of 15 independent equations and equal number...

One of the most implemented interpolation methodologies is the Solid Isotropic Material with Penalisation method (SIMP). This interpolation is essentially...

§ Alternative formulations). The differential and integral formulations are mathematically equivalent; both are useful. The integral formulation relates fields...

deformations (in which higher-order terms are negligible). If the material is isotropic, the linearized stress–strain relationship is called Hooke's law, which...

through a medium (a vacuum or some material, not necessarily homogeneous or isotropic), without action at a distance; During propagation, the influence of the...

characterized by its rest frame mass density ρ m {\displaystyle \rho _{m}} and isotropic pressure ⁠ p {\displaystyle p} ⁠. Real fluids are viscous ("sticky") and...

Microemulsions are clear, thermodynamically stable, isotropic liquid mixtures of oil, water and surfactant, frequently in combination with a cosurfactant...

{k}{m}}}} Isotropic materials are characterized by properties which are independent of direction in space. Physical equations involving isotropic materials...

Physicists: Isotropic harmonic oscillator" (PDF). Weizmann Institute of Science. Retrieved 28 July 2021. Fradkin, D. M. (1965). "Three-dimensional isotropic harmonic...

to revise or extend it. Einstein's formulation was based on two postulates, as detailed below. Some formulations modify these postulates or attempt to...

fluid is assumed to be isotropic, as with gases and simple liquids, and consequently C {\textstyle \mathbf {C} } is an isotropic tensor; furthermore, since...

poromechanics. The soil is homogenous (uniform in composition throughout) and isotropic (show same physical property in each direction). The soil is fully saturated...

original image. In its original formulation, presented by Perona and Malik in 1987, the space-variant filter is in fact isotropic but depends on the image content...

forms in terms of scalar ε are correct only for linear isotropic materials. For linear non-isotropic materials, ε becomes a matrix; even more generally,...

they were needed in physics." Spinors can be constructed directly from isotropic vectors in 3-space without using the quaternionic construction. To motivate...

and G r {\displaystyle G_{r}} are the antenna gains (with respect to an isotropic radiator) of the transmitting and receiving antennas respectively, λ {\displaystyle...

only when all its variables are simultaneously zero; otherwise it is isotropic. Quadratic forms occupy a central place in various branches of mathematics...

geophysical models and other planetary bodies. In the case of isotropic (or approximately isotropic) thermal pressure, the unit cell parameter remains constant...

conserving time integration schemes Hyperelastic materials (isotropic, transversely-isotropic, anisotropic), visco-hyperelastic materials, damage models...

that the large-scale structure of the universe is flat, homogeneous, and isotropic, a finding later accepted as the cosmological principle to apply at scales...

and pressure equations of a static and spherically symmetric body of isotropic material) Planck length Luminet, J.-P. (1979-05-01). "Image of a spherical...

flow with surgery for four-dimensional Riemannian manifolds of positive isotropic curvature.[H97] For Ricci flows with initial data in this class, he was...

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...

/ˈfriːdmən ləˈmɛtrə ... /) is a metric that describes a homogeneous, isotropic, expanding (or otherwise, contracting) universe that is path-connected...

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

Intelligence Laboratory (SAIL). Sobel and Feldman presented the idea of an "Isotropic 3 × 3 Image Gradient Operator" at a talk at SAIL in 1968. Technically...