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j-Planes

1991
*
Journal of combinatorial theory. Series A
*

These

doi:10.1016/0097-3165(91)90036-g
fatcat:73i3tcsbwrggxaxxs4e5i7z56u
*planes*have been investigated by Johnson in [4*J*and have various interesting properties. ... In [3] , Kantor discusses various methods to produce translation*planes*from ovoids in an 52 + (8, q) space. ... If a spread and thus a translation*plane*is defined by*J*g, and*j*, the translation*plane*is called a*j*-*plane*. ...##
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j,k-planes of order 43

2005
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Innovations in Incidence Geometry Algebraic Topological and Combinatorial
*

These

doi:10.2140/iig.2005.2.1
fatcat:vhakoce3sred7ooqldb6s6vsea
*j*, k-*planes*may be André replaced and the*j*, k-*planes*and the*planes*obtained by André replacement may be derived. There are thirteen new*planes*constructed and classified. ... A new class of translation*planes*of order 4 3 is constructed and studied. These*planes*are a generalization of the*j*-*planes*discovered by Johnson, Pomareda and Wilke ([16]). ... 1)/(q − 1) and for the general theory of*j*. . .*j*-*planes*. ...##
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Chemistry (Sienko, Michell J; Plane, Robert A.)

1961
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Journal of Chemical Education
*

her tet
in
od n. 1g ll.
be
h-
es
BOOK REVIEWS
Chemistry
Michell

doi:10.1021/ed038p585.1
fatcat:rwwguczo35acjbj4nhj6aqvhca
*J*. Sienko and Robert A.*Plane*, both of Cornell University, Ithaca, New York. 2nd ed. ... Part 1 Michell*J*. Sienko and Robert A.*Plane*, Chemistry Herbert W. Cremer and Sidney B. Watkins, Editors, Chemical Engineering Prac- tice. Volume 10: Ancillary Services D. O. ...##
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The j-invariant of a plane tropical cubic

2008
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Journal of Algebra
*

In this paper, we prove that for a

doi:10.1016/j.jalgebra.2008.08.018
fatcat:zlsh3xzz25bvjp52qeuspwnuju
*plane*cubic over the field of Puiseux series, the negative of the generic valuation of the jinvariant is equal to the cycle length of the tropicalization of the curve ... From this it follows that val*j*: R A c −→ R : u → val*j*(u) Tropicalizations and the cycle length of a*plane*tropical cubic In this section we will study the tropicalization of a*plane*cubic C f , ... Given a point u ∈ R A c it defines a*plane*tropical cubic, say C F , via the*plane*tropical polynomial F = min u ij + i · x +*j*· y (i,*j*) ∈ A c and it defines a regular subdivision of (Q c , A c ). ...##
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The j-invariant of a plane tropical cubic
[article]

2007
*
arXiv
*
pre-print

Several results in tropical geometry have related the

arXiv:0709.3785v1
fatcat:2lz52ojuwnavre4q3hzt43m75e
*j*-invariant of an algebraic*plane*curve of genus one to the cycle length of a tropical curve of genus one. ... In this paper, we prove that for a*plane*cubic over the field of Puiseux series the negative of the generic valuation of the*j*-invariant is equal to the cycle length of the tropicalization of the curve ... We will use this definition mainly in two different settings: (a) For a*plane*cubic f = (i,*j*)∈A3 a ij x i y*j*we will consider the corresponding*plane*tropical cubic Trop V (f ) ⊂ R 2 given by the tropical ...##
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Fractional and j-Fold Coloring of the Plane

2016
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Discrete & Computational Geometry
*

We present results referring to the Hadwiger-Nelson problem which asks for the minimum number of colours needed to colour the

doi:10.1007/s00454-016-9769-3
fatcat:aetxp63a2raaffvf77oywtiodm
*plane*with no two points at distance 1 having the same colour. ... The fractional chromatic number χ_f(G) is the infimum of fractions k/*j*for*j*-fold colouring of G using k colours. ... For 0 i,*j*< n let S i,*j*= S + (si/n)(1, 0) + (s*j*/n)(1/2, √ 3/2). We define h n -fold coloring of the*plane*as follows. ...##
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Gauge theory high-energy behavior from j-plane unitarity

1996
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Nuclear Physics B
*

In a non-abelian gauge theory the t-channel multiparticle unitarity equations continued in the complex

doi:10.1016/0550-3213(95)00129-8
fatcat:ecswte7orrdr5c47qwenrdov5q
*j*-*plane*can be systematically expanded around*j*=1. ... Acknowledgements We are grateful to*J*. Bartels, R. Kirschner and L. Lipatov for valuable discussions of this work. ... (the*j*-*plane*). ...##
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E. G. Allen's and J. P. Woodbury's Planing Machines

1849
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Scientific American
*

Circuit Court in this city, a by 38 inches in size, and . the best adapted for verdict of 6 cellts was given for infringement machine shops, engineers, ,colleges, academ of a patent, Alfred

doi:10.1038/scientificamerican04211849-242a
fatcat:szvilavilfavngwcc5k2ihguhm
*J*, Serrill ...##
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Counting tropical elliptic plane curves with fixed j-invariant
[article]

2009
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arXiv
*
pre-print

In this article we treat the tropical analogue of this problem, the determination of the number of tropical elliptic

arXiv:math/0608472v2
fatcat:phczxnsyznhunk7hlt54atraha
*plane*curves of degree d and fixed "tropical*j*-invariant" interpolating an appropriate ... We show that this number is independent of the position of the points and the value of the*j*-invariant and that it coincides with the number of complex elliptic curves. ... Also, we can move an image h(Γ) in the whole*plane*. Choose a root vertex V of Γ. Two coordinates are given by the position of the image h(V ) in the*plane*. ...##
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Counting tropical elliptic plane curves with fixed j-invariant

2009
*
Commentarii Mathematici Helvetici
*

An n-marked

doi:10.4171/cmh/166
fatcat:buzinpsofzfyvlgp7b74rnemvy
*plane*tropical curve of genus g is a tuple .; h; x 1 ; : : : ; x n /; Vol. 84 (2009) Counting tropical elliptic*plane*curves with fixed*j*-invariant ... Mikhalkin's algorithm to count curves via lattice paths (see [6] ) in the case of rational*plane*curves. in the cases where the complex*j*-invariant is*j*2 f0; 1728g. ... The enumeration of complex*plane*elliptic curves with fixed*j*-invariant using Gromov-Witten theory has been undertaken by R. Pandharipande [8] . ...##
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Multiple Plane Detection in Image Pairs Using J-Linkage

2010
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2010 20th International Conference on Pattern Recognition
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We present a new method for the robust detection and matching of multiple

doi:10.1109/icpr.2010.91
dblp:conf/icpr/FouheySB10
fatcat:yr3xfz5lzzct7d2tugcozl3pqy
*planes*in pairs of images. Such*planes*can serve as stable landmarks for vision-based urban navigation. ... Our approach starts from SIFT matches and generates multiple local homography hypotheses using the recent*J*-linkage technique by Toldo and Fusiello, a robust randomized multi-model estimation algorithm ... Feature locations are marked with dots;*plane*hypotheses are visualized using color and convex hulls. (a)*J*-linkage output; note that single*planes*often result in multiple models. ...##
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On $J$-groups of spaces which are like projective planes

1966
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Proceedings of the Japan Academy
*

The following sequences are exact: O--~

doi:10.3792/pja/1195521878
fatcat:eag6rduj5zdwtinclbkgqkpbg4
*J*(S 4)-~*J*(Pa((m))--~*J*(S 2)-~0 i f m-0 mod 2, 0--~2J(S4)--~*J*(Pc(m))-->*J*(S2)--.0 if m =1 mod 2. Since it is easy to obtain Lemma 4. ... The following sequence is exact: 0-~*J*(S 21)-**J*(X)->*J*(S')--.0, where X denotes PQ(m, n) or P$(m, n) in accordance with l = 4 or 8. ...##
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A Note On Elliptic Plane Curves With Fixed j-Invariant
[article]

1995
*
arXiv
*
pre-print

The number of degree d>=3, nodal, elliptic

arXiv:alg-geom/9505023v1
fatcat:6pq3pr5lp5adzd4w7jkh6cn2ca
*plane*curves with a fixed (general)*j*-invariant through 3d-1 points is found to be d-1 2*N_d. ... Let N_d be the number of degree d, nodal, rational*plane*curves through 3d-1 points in the complex projective*plane*. ... Let E d,*j*be the number of irreducible, reduced, nodal, degree d, elliptic*plane*curves with fixed*j*-invariant*j*passing through 3d − 1 general points P 2 . ...##
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Tracking planes with Time of Flight cameras and J-linkage

2011
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2011 IEEE Workshop on Applications of Computer Vision (WACV)
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Our approach extends the recent

doi:10.1109/wacv.2011.5711568
dblp:conf/wacv/SchwarzMLN11
fatcat:zzh4f4jhj5gjtpqvsqddd54fjy
*J*-linkage algorithm for estimation of multiple model instances in noisy data to tracking. ... Instead of randomly selecting*plane*hypotheses in every image, we propagate*plane*hypotheses through the sequence of images, resulting in a significant reduction of computational load in every frame. ... Here, d ⊥ (x i ,p*j*) denotes the orthogonal distance of a point x i to a planep*j*and τ is the maximum allowed point-to-*plane*distance. ...##
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Systematics ofqq¯states in the(n,M2)and(J,M2)planes

2000
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Physical Review D, Particles and fields
*

At the (

doi:10.1103/physrevd.62.051502
fatcat:fqrqod5flve4pm3q63gto4ezs4
*J*,M^2)-plot we set out meson states for leading and daughter trajectories: for pi, rho, a_1, a_2 and P'. ... In the mass region up to M < 2400 MeV we systematise mesons on the plots (n,M^2) and (*J*,M^2), thus setting their classification in terms of n^2S+1L_J q anti-q states. ... It is rather instructive to see the location of f bare 0 at the (n, M 2 )*plane*: corresponding trajectories are shown in Fig. 2f . ...
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