Isodiametric

Definitions

  • Webster's Revised Unabridged Dictionary
    • Isodiametric (Crystallog) Developed alike in the directions of the several lateral axes; -- said of crystals of both the tetragonal and hexagonal systems.
    • Isodiametric (Bot) Having the several diameters nearly equal; -- said of the cells of ordinary parenchyma.
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Century Dictionary and Cyclopedia
    • isodiametric Having equal diameters, or being of equal diameter. Specifically— In crystallography, pertaining to crystals having equal lateral axes, as crystals of the tetragonal or hexagonal systems, which are optically uniaxial.
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Chambers's Twentieth Century Dictionary
    • adj Isodiametric ī-so-dī-a-met′rik being of equal diameters.
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Etymology

Webster's Revised Unabridged Dictionary
Iso-, + diametric,

Usage


In science:

One might notice a few similarities between VG and the isodiametric function considered by Gersten (see ).
A refinement of the simple connectivity at infinity of groups
Recall that for any measurable set O the isodiametric inequality yields s ≤ diam(O)/2.
Aperiodic fractional obstacle problems
The isodiametric inequality is derived from the isoperimetric inequality trough a variational principle, establishing that balls maximize the perimeter among convex sets with fixed diameter.
Quantitative stability in the isodiametric inequality via the isoperimetric inequality
This principle brings also quantitative improvements to the isodiametric inequality, shown to be sharp by explicit nearly optimal sets.
Quantitative stability in the isodiametric inequality via the isoperimetric inequality
By the above argument, we have Hn−1 (Fν ) = ωn−1 for a.e. ν ∈ ∂B , i.e., Fν is optimal in the isodiametric inequality in Rn−1 , and thus it is an (n − 1)-dimensional unit disk in ν ⊥ .
Quantitative stability in the isodiametric inequality via the isoperimetric inequality
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