A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Arrangements of planes in space

1981
*
Discrete Mathematics
*

*In*a recently published summary article (

*Arrangements*

*of*byperpl2nes; matroids and graphs,

*in*... We conclude with some nor&vial new bounds for the counters

*of*an arbitrary

*arrangement*

*in*E3 and two specific examples. ' This is indeed the case. ... P* and if

*Arrangements*

*of*

*planes*irt.

*space*the

*arrangement*is not planar, Furfhemore, ~12 the summ(ands

*in*these formulas are non-negative. ...

##
###
On the Interpretation of the Indications of Atomic Structure Presented by Crystals when Interposed in the Path of X-rays

1914
*
Proceedings of the Royal Society A
*

*of*deformation

*of*an atomic system

*arranged*according to either

*of*the three

*space*-lattices possessing cubic symmetry, considerable enough to profoundly alter the nature

*of*the

*arrangement*, can take place ... Bragg states

*in*his exposition

*of*the method

*of*investigating the structure

*of*crystals by means

*of*X-rays, th a t a slight symmetrical distortion

*of*the arrangem ent

*of*the atoms, which would reduce the ... precisely the same

*in*the

*space*-lattice

*arrangement*as

*in*any one

*of*the point-system

*arrangements*derived from this

*space*-lattice by the defined method; and this is true whatever the direction chosen ...

##
###
Review of Crystalline Structures of Some Selected Homologous Series of Rod-Like Molecules Capable of Forming Liquid Crystalline Phases

2011
*
International Journal of Molecular Sciences
*

It is

doi:10.3390/ijms12117360
pmid:22174604
pmcid:PMC3233410
fatcat:ybo7x5olanee3k6vk3pf5smvza
*of*valuable interest to know possible conformations and possible packing*arrangements*as prerequisites to model liquid crystalline structures. ... The crystal structures*of*four homologous series*of*rod-like molecules are reviewed, two*of*which form hydrogen bonds and two with a symmetric chemical constitution. ... Figure 34 . 34 Representation*of*the packing*arrangement**of*TBAA-6,*space*group C2/c,*in*projection on the a,c-and b,c-*plane*. ...##
###
Topology of plane arrangements and their complements
[article]

2014
*
arXiv
*
pre-print

This is a glossary

arXiv:1407.7236v1
fatcat:cijduyr7kva63de5pdsuvy44b4
*of*notions and methods related with the topological theory*of*collections*of*affine*planes*, including braid groups, configuration*spaces*, order complexes, stratified Morse theory, simplicial ... The emphasis on the most geometrical explanation is done; applications and analogies*in*the differential topology are outlined. ... Homotopy type*of*an affine*plane**arrangement*and stable homotopy type*of*its complement Let our*spaces*S i be affine*planes**in*R N forming the*arrangement*L. ...##
###
CRYSTALLOGRAPHY OF ICOSAHEDRAL CRYSTALS

1986
*
Le Journal de Physique Colloques
*

The resulting crystal can not

doi:10.1051/jphyscol:1986313
fatcat:vxxy5mrkefc6bnhv3gzwmlcwvi
*in*general be viewed as a*space*-filling*arrangement**of*a small number*of*different "Penrose tiles." ...*of*atoms correspond to an*arrangement**of*hypersurface segments. ... We now want to describe structures which can be formed by*arrangements**of*atoms*in*3D*space*. ...##
###
A resolution of the sylvester-gallai problem of J.-P. serre

1986
*
Discrete & Computational Geometry
*

Introduction Almost from the beginning

doi:10.1007/bf02187687
fatcat:2a5zhzxndba63m6n7rktiqmoo4
*of*the study*of*algebraic curves*in*which imaginary points were admitted, it has been known that a general*plane*cubic curve has nine inflection points which form ...*in*real*space*. ... Hirzebruch studies "*arrangements**of*lines"*in*the complex*plane*and associates with each such*arrangement*algebraic surfaces, calculates their Chern numbers and applies the Miyaoka-Yau inequality. ...##
###
$4$ planes in ${\mathbb R}^4$

2007
*
Proceedings of the American Mathematical Society
*

For k = 4, this leads to an explicit computation

doi:10.1090/s0002-9939-07-08186-5
fatcat:pt6oeijv6ragjdwfwpkznksjd4
*of*the moduli*space*A 4,4 (R)*of*central 2-*arrangements**in*R 4 mod GL 4 (R) and its subspace A 2,4 (C)*of*those classes that contain a complex hyperplane ...*arrangement*. ... So far, the class*of*central 2-*arrangements**of*k*planes**in*R 4 is not understood*in*general. ...##
###
Improvement of Isolation between Transmitting and Receiving Antennas of E-plane arranged Waveguide Slot Arrays by using Layers of Slit pairs with Half-wavelength Spacing

2020
*
IEICE Communications Express
*

This structure is expected to improve the isolation between transmitting and receiving antennas

doi:10.1587/comex.2020xbl0148
fatcat:w3lezhvxb5a6zbxsydrpfvek2m
*arranged**in*the E-*plane*. ...*In*this paper, we propose loading layers*of*slit pairs with halfwavelength*spacing*over a corporate-feed waveguide slot array antenna*in*the 30 GHz band. ... The isolation between E-*plane**arranged*antennas becomes worse than that*of*H-*plane**arranged*antennas, affecting the radiation pattern*of*the slots. ...##
###
K-Levels of Concave Surfaces

2002
*
Discrete & Computational Geometry
*

We show that for any line l

doi:10.1007/s00454-001-0086-z
fatcat:3tbztepwj5bjrbgzabo2dtazca
*in**space*, there are at most k(k + 1) tangent*planes*through l to the k-level*of*an*arrangement**of*concave surfaces. ... This is a generalization*of*Lovász's lemma, which is a key constituent*in*the analysis*of*the complexity*of*k-levels*of**planes*. ... From any line l*in*the*space*, there are at most k(k + 1) tangent*planes*through l to concave vertices*of*the k-level*of*an*arrangement**of**planes**in*the three-dimensional*space*. ...##
###
Problems of the simulation and modeling the lightning protection of high structures

2019
*
Pollack Periodica
*

*In*the latter case, the increasing nominal power increases the dimensions

*of*the turbine, and the risk

*of*a strike, too. ... Besides that, some investigations

*of*high buildings for negative and positive lightning were evaluated to determine the change

*of*the attractive

*space*. ... Open Access statement This is an open-access article distributed under the terms

*of*the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/), which permits ...

##
###
MOLECULAR STRUCTURE OF PLANT FIBERS DETERMINED BY X-RAYS

1926
*
The Journal of General Physiology
*

The longitudinal

doi:10.1085/jgp.9.5.677
pmid:19872283
pmcid:PMC2140850
fatcat:vw2kjpqqpbcxxkaeteftwvvmwm
*planes*were considered when discussing the diffraction patterns from the 0 ° position*of*the fiber block, t A study*of*the transverse and the diagonal*planes*is undertaken*in*the present ... It was shown there that certain sets*of**planes**of*atoms, the existence*of*which was indicated by the diffraction lines, extended lengthwise*of*the fibers, while other sets were transverse and still others ...*In*the latter all*planes**of*a given set are equal*in*reflecting power and therefore no double*spacing*occurs. That must mean that every*plane*has both Q and R*arrangements**in*it. ...##
###
Page 135 of Journal of Chemical Education Vol. 18, Issue 3
[page]

1941
*
Journal of Chemical Education
*

*space*

*arrangement*

*of*the atoms or groups within the mole- cules. ... A unique consequence

*of*this directional distribution

*of*the valence forces

*in*

*space*is the phenomenon

*of*stereoisomerism, or

*space*isomerism, which implies that the isomers differ

*in*the three-dimensional ...

##
###
Rigid body motion measurements with Fourier lensless holography

1981
*
Applied Optics
*

*In*this case, a three-recording-plates set,

*in*a trihedral

*arrangement*attached to an object, registers the interference between spherical and

*plañe*coherent wave fronts. ... If, between two such exposures, the

*arrangement*is translated or rotated

*in*the

*space*, the two overlapping interference patterns registered will produce low frequency moiré patterns. ... The authors wish to thank the Secretaria de Estado de Ciencia y Tecnologia, Argentina and the Organization

*of*American States, for providing financial support for this work. ...

##
###
Page 480 of Mechanical Engineering Vol. 47, Issue 6
[page]

1925
*
Mechanical Engineering
*

The distances between

*planes*may be different*in*the various systems and the three sets*of**planes*may form any angles with each other. ... The points*of*intersection*of*these*planes*constitute a*space*lattice. Taking, for example, Fig. 6, we have here a portion from a “body-centered”! ...##
###
The Crystalline Structure of Succinic Acid, Succinic Anhydride and Succinimide

1924
*
Proceedings of the Royal Society A
*

A brief consideration

doi:10.1098/rspa.1924.0030
fatcat:ui2iywtwzngpbataz56g53kzx4
*of*these two sets*of*axial ratios shows that the same a, b axes have been taken for both, but that the (001)*plane**in*the second set is the (101)*plane**in*the first. ... There seemed to be no obvious advantage*in*using the elementary cell defined by the second set*of*axial ratios, hence the values given by Groth were used*in*the calculation*of*the*spacings*. ... Not every kind*of*two-fold symmetry*of*the molecule is possible*in*each*of*these*space*-groups.*In*C^1 the molecules are*arranged*as*in*fig. 1 , the elements*of*symmetry F ig. 1. ...
« Previous

*Showing results 1 — 15 out of 504,901 results*