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1
Perfect Lattices in Euclidean Spaces
For the sake of simplicity, we do not consider T-eutaxy for T ^ Ends(E).
Proposition 3.6.1. A union of weakly eutactic (resp. semi-eutactic, resp. eutactic)
configurations is weakly eutactic (resp. semi-eutactic, resp. eutactic); a union of
disjoint ...
2
The Good Book; and Amenities of Nature; Or Annals of ...
Eutaxy. Trrsonv or CLASSIFICATION and the new science of EUTAXY or
Methodology. 1 Ever since the introduction of order, system and method in the
determination of objects, all the sciences to whichthis mode of study has been
applied, ...
Constantine Samuel Rafinesque, 1840
3
Quadratic Forms: Algebra, Arithmetic, and Geometry
Eutaxy and Exremality Not every perfect form is extreme, hence gives a local
maximum of the Hermite invariant, as shown in Table 2 from dimension 6
onwards. In order to characterize extreme forms the notion of eutaxy is used: A
PQF Q is ...
4
Structure and Bonding in Crystalline Materials
However, we are not constrained to describe structures only according to anion
eutaxy. Recall that we described the fluorite structure as ccp cations with the
anions filling the tetrahedral voids. There is a less common anti-fluorite structure (
for ...
5
Geometry and Analysis of Automorphic Forms of Several ...
We define gb-eutaxy as follows: Definition 1.4. Let a G P”, and fix ... a similar
fashion as eutaxy, this definition is independent of a choice of b. If qb : detl/n, then
(8log ¢)b : tr, and hence detl/n-eutaxy is the same as Definition 1.3. It follows from
...
Yoshinori Hamahata, Takashi Ichikawa, Atsushi Murase, 2011
6
Structure and Bonding in crystals
CLOSE PACKING (EUTAXY) It is often stated in textbooks that a feature of ionic
crystal structures is that one often has a close packing of large anions in contact
with each other with small cations in either the octahedral or the tetrahedral ...
7
Proceedings of the Estonian Academy of Sciences, Physics and ...
For quadratic forms over real numbers this definition coincides with the usual
definition of eutaxy (see [8'9]). 3. PERFECT QUADRATIC FORM For the
convenience of the readers, we recall here the definition of a perfect Humbert
tuple from [ ' |.
8
Quadratic Forms and Their Applications: Proceedings of the ...
That the set of minimal vectors of a lattice be a spherical 2- or 4-design is a strong
form of the conditions of eutaxy (equal coefficients) or extremality. An extremal ^-
modular lattice is not necessarily extreme: the even unimodular lattice E8 _L E« ...
Eva Bayer-Fluckiger, David Lewis, Andrew Ranicki, 2000
9
Cations in Inorganic Solids
corresponds to one half of a fcc array (see Figure 22l. in such a way that the A + B
array is in fcc eutaxy. The O atoms are inserted into tetra- hedral holes. The O(1l
atoms occupy all the A2B2 tetrahedra and the O(2l atoms occupy all the A4 ...
10
Inorganic 3D Structures
O'Keeffe and Hyde [3, 4] illustrated the eutaxy by many examples and considered
this phenomenon as a result of mutual repulsion of cations. Further attempts to
interpret these experimental facts were undertaken by Vegas et al. [6, 7, 9–12], ...
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «EUTAXY»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
eutaxy w wiadomościach.
Ten datus of Madiaas: mythology or history?
For me, it was eutaxy when Mayor Jose Montelibano told me to coordinate with the Departmen to Education-Silay City in the preparation of a ... «Sun.Star, Mar 14»
Seeking diamonds in the rough
Her work space goes beyond being a triumph of eutaxy - a fancy word I discovered for "good order" - it's a work of art. But if her desktop is like a ... «The Age, Sty 07»
