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Topic: Isotropic

Related Topics

Isotropic antenna

Homogeneous (mathematics)

Cosmological Principle

Anisotropic

Equivalence principle

Cognitive science of mathematics

Galileo spaceprobe

Chopped strand mat

Radiation

Liquid crystal

Geohydrology

Hydrogen atom

Divergence theorem

Magnetic resonance imaging

Barycentric coordinates

	Isotropy - Wikipedia, the free encyclopedia
		Isotropic radiation has the same intensity regardless of the direction of measurement, and an isotropic field exerts the same action regardless of how the test particle is oriented.
		Some manifolds are isotropic, meaning that the geometry on the manifold is the same regardless of direction.
		Radio broadcasting: In radio, an isotropic antenna is an imaginary "device", used as a reference; an antenna that broadcasts power equally (calculated by the poynting vector) in all directions.
	en.wikipedia.org /wiki/Isotropic (195 words)

	Isotropic antenna - Wikipedia, the free encyclopedia
		An isotropic antenna is an ideal antenna that radiates power with unit gain uniformly in all directions and is often used to reference antenna gains in wireless systems.
		There is no actual physical isotropic antenna; a close approximation is a stack of two pairs of crossed dipole antennas driven in quadrature.
		The radiation pattern for the isotropic antenna is a sphere with the antenna at its center.
	en.wikipedia.org /wiki/Isotropic_antenna (129 words)

	Isotropic Minerals
		As discussed in the last lecture, isotropic substance are those wherein the velocity of light or the refractive index does not vary with direction in the substance.
		For isotropic minerals and substances the indicatrix is pretty trivial, since the refractive index does not vary with direction.
		Again, for the isotropic indicatrix, this is fairly trivial since the refractive indices do not correspond to crystallographic directions and the refractive indices are the same in all directions, but the usefulness of the indicatrix concept will become much more clear when we look at anisotropic substances.
	www.tulane.edu /%7Esanelson/geol211/isotropic_minerals.htm (1968 words)

	Bambooweb: Isotropic
		radiation has the same intensity regardless of the direction of measurement, and an isotropic field exerts the same action regardless of how the test particle is oriented.
		In radio, an isotropic antenna is an imaginary "device", used as a reference; an antenna that broadcasts equal power in all directions.
		Decibels relative to an isotropic antenna are expressed as dBi or dB(i).
	www.bambooweb.com /articles/i/s/Isotropic.html (110 words)

	400.00 SYSTEM
		"isotropic" meaning "everywhere the same," "isotropic vector" meaning "everywhere the same energy conditions." This matrix constitutes an array of equilateral triangles that corresponds with the comprehensive coordination of nature's most economical, most comfortable, structural interrelationships employing 60-degree association and disassociation.
		Inasmuch as vectors describe energy conditions, this would mean a volumetric aggregation of vectors in a structural complex in which all of the interacting vectors would have to be of the same length and all of their intersecting angles would have to be the same.
		In an isotropic vector matrix, there are only two clear-space polyhedra described internally by the configuration of interacting vectors: these are the regular tetrahedron and the regular octahedron operating as complementary space fillers.
	www.rwgrayprojects.com /synergetics/s04/p2000.html (1332 words)

	IsoTropic Networks, Inc. - Satellite Uplinking and Broadcasting Services (Site not responding. Last check: 2007-09-06)
		IsoTropic is widely recognized as a solutions-oriented company that integrates satellite and terrestrial technologies in a seamless fashion in order to offer the customer the "best of both worlds." Upon its inception, IsoTropic provided point-to-multipoint domestic service to a single customer with over 100 endpoints.
		IsoTropic specializes in the provision of private satellite networks, systems and WANs for commerce, industry, and the media internationally, and is active in all aspects of consumer and commercial data, IP, and entertainment delivery via satellite, along with full system integration facilities.
		IsoTropic product thrusts in the new millennium center upon the convergence and evolution of the telecommunications and broadcast industries and are illustrated by ATM and MPEG 2 DVB systems that address ISP Backbone Services, Web Casting, and Public Internet Services.
	www.isosat.net /about.html (315 words)

	Lab 6: Determining the index of refraction of isotropic minerals using the Becke line method and identifying isotropic ... (Site not responding. Last check: 2007-09-06)
		All isotropic minerals are dark between crossed polars, and anisotropic minerals are generally light unless they are in certain orientations.
		Isotropic minerals are dark because they do not affect the polarization direction of the light coming up from the lower polar.
		Determination of the index of refraction is the primary means of identifying isotropic minerals in grain mount.
	www.clas.ufl.edu /users/jmartin/mineralogy/Fall/lab6.htm (757 words)

	Journal of Vision - Isotropic textures convey distance not 3-D shape , by Li & Zaidi
		Isotropic patterns have been used to render convex 3-D shapes because it is thought that systematic deviations from isotropy in the projected image convey the shape of the surface.
		Projected surfaces with isotropic textures do not exhibit these orientation modulations, but show increases in 2-D spatial frequency as distance increases, and increases in 1-D frequency along the direction of slant for increasing slant angles.
		Isotropic textures thus convey distance but do not, in general, convey qualitatively veridical 3-D shape.
	www.journalofvision.org /2/7/112 (334 words)

	Natex - Section 17b The Isotropic Field (Site not responding. Last check: 2007-09-06)
		he isotropic field is the frame of reference for the entirety of existence.
		This field is isotropic in that it is the same everywhere whereas the P-field has a center.
		The isotropic grid can be deformed by compression/expansion or twists but may not rotate as a whole as is the case with the positional field.
	ebtx.com /ntx/ntx17b.htm (328 words)

	[No title]
		Isotropic liquid droplets are formed by different mechanisms near the smectic-isotropic phase transition in smectic freely suspended films.
		The smectic A phase is characterized by a two-dimensional isotropic liquid disorder within the layers, where the preferred orientation of the mesogens is normal to the free-standing film plane.
		Whereas it has been shown that droplets of isotropic liquids embedded in a nematic bulk phase interact via long-range but comparably weak elastic forces of the nematic director field, the much stronger long-range forces on particles (or liquid inclusions as considered here) or between them in thin free-standing films are primarely of capillary origin.
	www.uni-leipzig.de /~gasse/paf0208.htm (718 words)

	Edge preserving smoothing and segmentation of 4-D images via transversely isotropic scale-space processing and ...
		Spurious noise structures are reduced with use of small-scale isotropic smoothing in directions transverse to the 1-D operator axis.
		Analytic expressions are obtained for directional derivatives of the smoothed, edge preserved image, and the expressions are used to compose a 4-D operator that detects edges as zero-crossings in the second derivative in the direction of the image intensity gradient.
		Additional improvement in segmentation is anticipated with use of multiscale transversely isotropic smoothing and a novel interpolation method that improves the behavior of the directional derivatives.
	repositories.cdlib.org /lbnl/LBNL-53558 (284 words)

	Portable, expandable mold for fabricating substantially isotropic isocyanate based polymer foam buns - Patent 4179094
		A mold is described for the molding of substantially isotropic isocyanate-based polymer foam buns.
		Processes for the preparation of substantially isotropic polymer foams derived from isocyanates in the form of continuous bunstock are well-known in the art; see, for example, U.S. Pat.
		By isotropic foam is meant a rigid foam which has uniform cell structure and which exhibits substantially equal strength characteristics along the X, Y and Z direction axes to which a compressive force is applied.
	www.freepatentsonline.com /4179094.html (3706 words)

	Isotropic boundary (Oulu)
		It is based on the fact that magnetic field lines at higher latitudes have increasingly non-dipolar shape which, together with non-zero particle gyroradius, leads to non-adiabatic (stochastic) particle motion at the equator in the central plasma sheet.
		The isotropic boundary is thus the boundary between the inner magnetospheric region of adiabatic particle motion, and the outer region of stochastic particle motion in the equatorial tail current sheet.
		In addition, the isotropic boundary analysis can be used to map the auroral oval down to the magnetosphere by comparing the IB positions with lower energy auroral precipitation regions.
	www.oulu.fi /%7Espaceweb/textbook/ib.html (586 words)

	Influence of Near-source Velocity Heterogeneity on the Recovery of Isotropic Seismic Moment Tensors
		With no input isotropic component, most inversions resulted in negligible isotropic components, and while one of the inversions shows an 18% isotropic component, this result only shows a slight improvement in variance reduction over the deviatoric inversion, and does not show significant improvement in data fit within the F test criteria.
		For the sources with isotropic component, the amount of isotropic component is actually underestimated by approximately 10%, but the full inversion shows significant improvement in fit to the data at or above the 99% confidence level compared to the deviatoric inversion.
		While the NDC components of the seismic moment tensor remain difficult to resolve, the isotropic components of anomalous earthquakes in the LVC earthquake swarm of late 1997 and early 1998 appear to be real features of the source process.
	www.seismo.berkeley.edu /annual_report/ar99_00/node24.html (771 words)

	Chavez-Perez & Louie, Isotropic scattering and crustal fault zones, 1997 SEG
		Isotropic scattering and seismic imaging of crustal fault zones using earthquakes
		variations radiate isotropically, unlike the backscattering from impedance contrasts or the forward scattering from velocity contrasts.
		We therefore suggest that crustal faults may be distinguishable from non-tectonic crustal structures on the basis of this isotropic P-wave scattering.
	www.seismo.unr.edu /ftp/pub/louie/papers/nr/seg97.html (1568 words)

	Kenny, John J. (1968-04-19) Electric dipole radiation in isotropic and uniaxial plasmas. ...
		Kenny, John J. (1968-04-19) Electric dipole radiation in isotropic and uniaxial plasmas.
		The magnetostatic biasing field [...] is first taken to be equal to zero, making the medium isotropic, and then it is taken to be infinite, causing a uniaxial anisotropy.
		For the isotropic case, it is shown that the retarded fields are well behaved for all space and time (excluding the origin, of course).
	etd.caltech.edu /etd/available/etd-09242002-082113 (433 words)

	isotropic radiator - a Whatis.com definition (Site not responding. Last check: 2007-09-06)
		An isotropic radiator is a transducer that produces useful electromagnetic field output in all directions with equal intensity, and at 100-percent efficiency, in three-dimensional space.
		In wireless communications and broadcasting, the isotropic radiator (also called an isotropic antenna) is a theoretical ideal.
		In wireless applications, an isotropic radiator can be approximated by constructing a single-turn square loop with a circumference of 1/2 wavelength, and then giving the loop a half-twist along an axis that lies in the plane of the loop.
	whatis.techtarget.com /definition/0,,sid9_gci214570,00.html (199 words)

	Isotropic and Anistropic Damage Variables in Continuum Damage Mechanics (Site not responding. Last check: 2007-09-06)
		It is demonstrated that isotropic damage does not necessarily imply scalar damage representation in general.
		The notion of isotropic and anisotropic damage variables in continuum damage mechanics is then discussed.
		It is shown that even for isotropic damage one should employ an isotropic fourth-order damage tensor (not a scalar damage variable) to characterize the state of damage in materials, in accordance with the effective stress concept.
	www.pubs.asce.org /WWWdisplay.cgi?9004497 (164 words)

	Isotropic SRR (Site not responding. Last check: 2007-09-06)
		The response of a SRR directly depends on the magnetic flux that penetrates through the rings (the electric field can actually also contribute to the resonance, depending on its orientation with respect to the gap at the ends of the split rings).
		(b) The electromagnetic response of the CSRR measured in a waveguide is perfectly isotropic and does not depend on the illumination direction in the horizontal plane.
		This structure is therefore isotropic in the horizontal plane.
	www.ifh.ee.ethz.ch /~martin/res11.en.html (819 words)

	Eight Point Force Molecular Dynamical Estimates of Vibrational Frequencies of an Isotropic Elastic Sphere
		Vibrational frequencies of a isotropic elastic sphere are calculated, based on molecular dynamics simulations of a simple cubic lattice with first and second neighbour coupling as well as an eight point force term.
		An isotropic elastic material has two independent elastic constants, which are any two of the Young's modulus (Y), Bulk modulus (B), Shear modulus (μ) and Poisson ratio (ν).
		For an isotropic elastic material (or for a crystalline material with cubic symmetry) the components of the stress and strain tensors are related by the linear equation:
	www.geocities.com /cofrest/md12.htm (1909 words)

	Isotropic Minerals (Site not responding. Last check: 2007-09-06)
		To examine how light travels through a mineral, either isotropic or anisotropic, an indicatrix is used.
		the wave normal for isotropic minerals is parallel to the direction of propagation of light ray.
		For isotropic minerals the indicatrix is not needed to tell that the index of refraction is the same in all directions.
	www.brocku.ca /earthsciences/people/gfinn/optical/isotrop2.htm (184 words)

	Toshiba America Medical Systems: Radiology: CT: Aquilion 32/64: Isotropic Scanning (Site not responding. Last check: 2007-09-06)
		Isotropic data sets also markedly improve the quality of MPR and 3-D reconstructions, which aid the radiologist not only in diagnosis, but also in managing the huge amount of information generated by multi-slice scanners.
		Toshiba has succeeded in developing isotropic imaging based on the standards of 0.5mm slices for the head and 1mm slices for the abdomen.
		This technology has resulted in expanded utilization of computed tomography and a dramatic increase in the types of studies in which it is of value.
	www.medical.toshiba.com /clinical/radiology/aquilion3264-600-600-459.htm (132 words)

	eFunda: Stress-Strain Relations of Materials
		If there exists a plane in which the mechanical properties are equal in all directions, the material is called transversely isotropic.
		If there is an infinite number of planes of material symmetry, i.e., the mechanical properties in all directions are the same at a given point, the material is known as isotropic.
		Bamboo chopsticks are homogeneous but not isotropic (they are transversely isotropic, strong along the fiber direction, relatively weak but equal in other directions).
	www.efunda.com /formulae/solid_mechanics/composites/comp_lamina_property.cfm (335 words)

	Polymeric Material Properties
		For most practical applications, it is found that the transversely-isotropic elastic model is adequate to predict the warpage of the part, and this is the model recommended for use.
		The warpage analysis requires data to be measured on specimens in the direction of flow and transverse to the flow.
		Some materials are essentially isotropic in nature, permitting a simpler isotropic elastic model to be used.
	www.scudc.scu.edu /cmdoc/rm_doc/02_Material_props.html (5667 words)

	Isotropic Materials (Site not responding. Last check: 2007-09-06)
		An isotropic body has material properties that are the same in every direction at a point in the body; that is, the properties are not a function of orientation at a point in the body.
		For isotropic materials, normal stress causes extension in the direction of the applied stress and contraction in the perpendicular direction.
		The relationship between the state of stress and strain in a body is often referred to as the constitutive equation.
	www.iti-cae.com /caelabs/user_guide/stresslab/stresslab-604.html (233 words)

	Isotropic Tensors (Site not responding. Last check: 2007-09-06)
		Isotropic tensors up to rank four are given in the little monograph by Temple [1960].
		I have written a program that generates the isotropic tensors of arbitrary even rank, and then proceeds to apply symmetrization operations to the tensors to produce the final set of independent tensors.
		There are fifteen sixth rank isotropic tensors, but not all of them are valid candidates because the only non-vanishing components must be symmetric with respect to interchanges of the third and fifth argument, as well as the fourth and the sixth.
	parallel.hpc.unsw.edu.au /rks/docs/thesis/node48.html (677 words)

	Silicon Isotropic Acid Etching Recipe (Site not responding. Last check: 2007-09-06)
		isotropic etching of liquid and gas phase etchants.
		isotropic etching of 100 micron wide channels in silicon.
		the nature of isotropic etching, using wet etching with aqua regia...
	www.buymeal.com /recipes/9/silicon-isotropic-acid-etching-recipe.html (379 words)

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