2,417,737 Hits in 4.3 sec


N.L Johnson, R Pomareda, F.W Wilke
1991 Journal of combinatorial theory. Series A  
These 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.  ... 
doi:10.1016/0097-3165(91)90036-g fatcat:73i3tcsbwrggxaxxs4e5i7z56u

j,k-planes of order 43

Norman Johnson, Oscar Vega, Frederick Wilke
2005 Innovations in Incidence Geometry Algebraic Topological and Combinatorial  
These 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.  ... 
doi:10.2140/iig.2005.2.1 fatcat:vhakoce3sred7ooqldb6s6vsea

Chemistry (Sienko, Michell J; Plane, Robert A.)

Grant W. Smith
1961 Journal of Chemical Education  
her tet in od n. 1g ll. be h- es BOOK REVIEWS Chemistry Michell 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.  ... 
doi:10.1021/ed038p585.1 fatcat:rwwguczo35acjbj4nhj6aqvhca

The j-invariant of a plane tropical cubic

Eric Katz, Hannah Markwig, Thomas Markwig
2008 Journal of Algebra  
In this paper, we prove that for a 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 ).  ... 
doi:10.1016/j.jalgebra.2008.08.018 fatcat:zlsh3xzz25bvjp52qeuspwnuju

The j-invariant of a plane tropical cubic [article]

Eric Katz, Hannah Markwig, Thomas Markwig
2007 arXiv   pre-print
Several results in tropical geometry have related the 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  ... 
arXiv:0709.3785v1 fatcat:2lz52ojuwnavre4q3hzt43m75e

Fractional and j-Fold Coloring of the Plane

Jarosław Grytczuk, Konstanty Junosza-Szaniawski, Joanna Sokół, Krzysztof Węsek
2016 Discrete & Computational Geometry  
We present results referring to the Hadwiger-Nelson problem which asks for the minimum number of colours needed to colour the 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.  ... 
doi:10.1007/s00454-016-9769-3 fatcat:aetxp63a2raaffvf77oywtiodm

Gauge theory high-energy behavior from j-plane unitarity

Claudio Corianò, Alan R. White
1996 Nuclear Physics B  
In a non-abelian gauge theory the t-channel multiparticle unitarity equations continued in the complex 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).  ... 
doi:10.1016/0550-3213(95)00129-8 fatcat:ecswte7orrdr5c47qwenrdov5q

E. G. Allen's and J. P. Woodbury's Planing Machines

1849 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 J, Serrill  ... 
doi:10.1038/scientificamerican04211849-242a fatcat:szvilavilfavngwcc5k2ihguhm

Counting tropical elliptic plane curves with fixed j-invariant [article]

Michael Kerber, Hannah Markwig
2009 arXiv   pre-print
In this article we treat the tropical analogue of this problem, the determination of the number of tropical elliptic 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.  ... 
arXiv:math/0608472v2 fatcat:phczxnsyznhunk7hlt54atraha

Counting tropical elliptic plane curves with fixed j-invariant

Michael Kerber, Hannah Markwig
2009 Commentarii Mathematici Helvetici  
An n-marked 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] .  ... 
doi:10.4171/cmh/166 fatcat:buzinpsofzfyvlgp7b74rnemvy

Multiple Plane Detection in Image Pairs Using J-Linkage

David F. Fouhey, Daniel Scharstein, Amy J. Briggs
2010 2010 20th International Conference on Pattern Recognition  
We present a new method for the robust detection and matching of multiple 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.  ... 
doi:10.1109/icpr.2010.91 dblp:conf/icpr/FouheySB10 fatcat:yr3xfz5lzzct7d2tugcozl3pqy

On $J$-groups of spaces which are like projective planes

Seiya Sasao
1966 Proceedings of the Japan Academy  
The following sequences are exact: O--~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.  ... 
doi:10.3792/pja/1195521878 fatcat:eag6rduj5zdwtinclbkgqkpbg4

A Note On Elliptic Plane Curves With Fixed j-Invariant [article]

R. Pandharipande
1995 arXiv   pre-print
The number of degree d>=3, nodal, elliptic 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 .  ... 
arXiv:alg-geom/9505023v1 fatcat:6pq3pr5lp5adzd4w7jkh6cn2ca

Tracking planes with Time of Flight cameras and J-linkage

Loren Arthur Schwarz, Diana Mateus, Joe Lallemand, Nassir Navab
2011 2011 IEEE Workshop on Applications of Computer Vision (WACV)  
Our approach extends the recent 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.  ... 
doi:10.1109/wacv.2011.5711568 dblp:conf/wacv/SchwarzMLN11 fatcat:zzh4f4jhj5gjtpqvsqddd54fjy

Systematics ofqq¯states in the(n,M2)and(J,M2)planes

A. V. Anisovich, V. V. Anisovich, A. V. Sarantsev
2000 Physical Review D, Particles and fields  
At the (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 .  ... 
doi:10.1103/physrevd.62.051502 fatcat:fqrqod5flve4pm3q63gto4ezs4
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