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Classification of 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ gauge theories

Lakshya Bhardwaj
2015 Journal of High Energy Physics  
Based on the number of tensor multiplets required to cancel the anomaly, we conjecture that the UV completion of these consistent gauge theories (if it exists) should be either a 6d N = (1, 0) SCFT or  ...  a 6d N = (1, 0) little string theory.  ...  Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development and Innovation.  ... 
doi:10.1007/jhep11(2015)002 fatcat:rd3jagtpcfdorcymeewli3hawe

Exact diagonalization of the S = 1/2 XY ferromagnet on finite bcc lattices to estimate T = 0 properties on the infinite lattice

J. Schulenburg, J.S. Flynn, D.D. Betts, J. Richter
2001 European Physical Journal B : Condensed Matter Physics  
The energy and magnetization of the S = 1/2 XY ferromagnet have been computed on these bcc lattices in the lowest states for S_z = 0, 1/2, 1 and 3/2.  ...  Our estimates of the T = 0 energy and magnetization agree very well with spin wave and series expansion estimates.  ...  /1-2).  ... 
doi:10.1007/s100510170195 fatcat:6w7nxnw3m5garng4kwtw4dcyp4

1-2 model, dimers, and clusters

Zhongyang Li
2014 Electronic Journal of Probability  
We prove that for any translation invariant Gibbs measure of the 1-2 model configurations on the whole-plane hexagonal lattice, almost surely there are no infinite paths.  ...  Abstract A 1-2 model configuration is a subgraph of the hexagonal lattice, in which the edgedegree of each vertex is either 1 or 2.  ...  The author acknowledges support from the EPSRC under grant EP/103372X/1.  ... 
doi:10.1214/ejp.v19-2563 fatcat:hmeprtgq6bggtfpiijz3lj6zfm

Half counts in latin quarters

David A. Draki, Mark P. Hale
1974 Discrete Mathematics  
the m X m suhmatrkes are called quarters of I-If R i5 .I quartc; of a kstin square L of order 2nr of 2m + 1, one define!  ...  I = h %imrlar rwGt\ dr r~btamed for 1. LB~' orda ?nr + 1,  ...  Let 1 C_ r', j :I 6 with i f j. By Lemma 3.1, one may diagonalize L. obtaining a matrix M with i's and j's posntioned in one of the five ways indicated in Fig. 3 .1.  ... 
doi:10.1016/0012-365x(74)90138-1 fatcat:up5mznrihzccjnlk32edyr6xti

Modification Research of the Internal Substructure Method for Seismic Wave Input in Deep Underground Structure-Soil Systems

Xin Bao, Jingbo Liu, Dongyang Wang, Shutao Li, Fei Wang, Xiaofeng Wang
2019 Shock and Vibration  
We provide the detailed implementation procedures of this modified method and validate its applicability and accuracy through the scattered problems of underground cavities in homogeneous and layered half-space  ...  previous research and applications, the internal substructures are usually intercepted down from the free surface, which forms large substructures and increases the computational effort for data management on  ...  Acknowledgments is study was supported by the National Natural Science Foundation of China (grant no. 51878384) and National Key Research and Development Program of China (grant no. 2018YFC1504305).  ... 
doi:10.1155/2019/5926410 fatcat:p4xtlsu2qbdg5ebx4u5mw3b5lu

Selecting Optimal Submatrix for Syndrome-Trellis Codes (STCs)-Based Steganography with Segmentation

Xueyuan Zhang, Rangding Wang, Diqun Yan, Li Dong, Yuzhen Lin
2020 IEEE Access  
However, the original STC merely developed with the general form of cover and message, and almost all the subsequent improvements for STC focused on the cover selection and design of the distortion cost  ...  Then, the given cover and message will be split into a series of segments. Each message segment is adaptively matched with an optimal submatrix.  ...  When all the last-row values are 0, the path has no chance to reach the higher states, and there are half of the states remain unreachable.  ... 
doi:10.1109/access.2020.2983869 fatcat:lk5l3np4vveu5eynxs6ms7p2ae

Page 458 of Journal of Chemometrics Vol. 3, Issue 3 [page]

1989 Journal of Chemometrics  
To solve this problem, EFA was applied twice; once on the first half of the peak and once on the second half. This results in a second problem.  ...  Suitable dilutions were made upon cooling, giving a sample solution of 1-020 x 10~* moll~' bismuth in 1-0 moll~' perchloric acid; 0.04% bromocresol green solution (Fisher Certified) was diluted 1:25 with  ... 

Spatial Resolution of the Tendency-Oriented Perimetry Algorithm

Andrew J. Anderson
2003 Investigative Ophthalmology and Visual Science  
Sensitivity estimates tended to stratify into one of two possible values, with the lower value being dependent on the absolute position of the defect within the visual field.  ...  For small defects of one or two points, the TOP algorithm typically overestimated sensitivity.  ...  For example, in the top left panel of Figure 3 , a "no" response in submatrix 1 should be recorded only when the sensitivity in the defect is below approximately 15 dB (half the age-expected sensitivity  ... 
doi:10.1167/iovs.02-0828 pmid:12714630 fatcat:s5d6cs57j5h4nirjlt5bkhqc4m

Source-channel rate optimization for progressive image transmission over block fading relay channels [Transactions Papers

Hobin Kim, Ramesh Annavajjala, Pamela Cosman, Laurence Milstein
2010 IEEE Transactions on Communications  
In this paper, we are concerned with the design and analysis of joint source-channel coding schemes for block fading channels with relay-assisted distributed spatial diversity.  ...  the average throughput expression as a function of channel code rates as well as channel SNR for both a frequency-division multiplexing-based baseline system without relaying, and a half-duplex relay  ...  Proof: For the th principal submatrix of , , det( ) = ( ) 2 3 2 4 3 . . . + 1 > 0 (53) With Lemmas 1 and 2, − is positive definite, which implies that both det(− ) and det(− ) are positive for all .  ... 
doi:10.1109/tcomm.2010.06.080203 fatcat:ijb6db3z5rcc5m37nri6gfpyxa

Homogenization of the 1D Peri-static/dynamic Bar with Constant Micromodulus

Kjell Eriksson, Christer Stenström
2020 Journal of Peridynamics and Nonlocal Modeling  
When a certain body type, common in practice, is homogenized, its linear elastic behavior, independent of the interparticle force range and with a finite number of material points, in the limit infinite  ...  In certain situations, the effect is seen as a disturbance, and various efforts, mostly centering on 2D and 1D problems, have been made to reduce it.  ...  Appendix A: Homogenizing parameters for a bar with half-weight end points For a bar with δ = 2 , N = 5 points, half-weight end elements and Su = −4b/(cA), the stiffness submatrix S u is S u is not symmetric  ... 
doi:10.1007/s42102-019-00028-4 fatcat:47n5pqwnfnentafoidyqs6u34q

Determination of the dimensionality of spectroscopic data by submatrix analysis

Hugh Cartwright
1987 Journal of Chemometrics  
A full submatrix analysis of the spectroscopic data used to generate Figure 1 requires less than 180 s on a Norsk ND-520 minicomputer.  ...  Figure 3 shows the results of a submatrix analysis of spectra containing experimental error with a standard deviation of 0-010A.  ... 
doi:10.1002/cem.1180010206 fatcat:sx6ob5sctvcfvp3rd3qgslk6sy


M. Amabili
1996 Journal of Sound and Vibration  
The exact solution to the free vibration problem of circular cylindrical shells half-filled with liquid and with the shell axis orthogonal to the gravitational field is analytically obtained and approximate  ...  The theoretical study is validated through comparison with results of experimental modal analyses performed on a AISI 304 stainless steel pipe supported by two thin diaphragms and filled with water to  ...  This figure was obtained with data relevant to natural modes with one longitudinal half-wave (m = 1).  ... 
doi:10.1006/jsvi.1996.0154 fatcat:ovneqj3fizd4dehzdchiqwbie4

Approximate supervised learning of quantum gates via ancillary qubits

Luca Innocenti, Leonardo Banchi, Sougato Bose, Alessandro Ferraro, Mauro Paternostro
2018 International Journal of Quantum Information  
We present strategies for the training of a qubit network aimed at the ancilla-assisted synthesis of multi-qubit gates based on a set of restricted resources.  ...  with automatic differentiation methods.  ...  33 The three-qubit QFT transformation can be written as QFT |a 1 |b 2 |c 3 = 1 √ 8 |0 + e iπc |1 1 |0 + e iπ(b+ c 2 ) |1 2 |0 + e iπ(a+ b 2 + c 4 ) |1 3 (8) with |k j the states of the system qubit j  ... 
doi:10.1142/s021974991840004x fatcat:uaeeuqjrznfqfohzqv6lrgedl4

Bounds assuring subsets in convex position

Theodore S. Motzkin, P.E. O'Neil
1967 Journal of Combinatorial Theory  
or of the complementary half-planes.  ...  Likewise, every 2N(q, q; 3)-set of half-planes without parallelism or concurrence of bounding lines has a q-subset that consists either of the defining half-planes of an unbounded convex polyhedral set  ...  A q-set (set of q points), q ~ d -5 1, is general if no (d § 1)-subset is on a hyperplane, i.e., if no augmented minor vanishes.  ... 
doi:10.1016/s0021-9800(67)80073-5 fatcat:wew55fsozjbfdg3a4hvcdjahua

Provable Security against Differential and Linear Cryptanalysis for the SPN Structure [chapter]

Seokhie Hong, Sangjin Lee, Jongin Lim, Jaechul Sung, Donghyeon Cheon, Inho Cho
2001 Lecture Notes in Computer Science  
The purpose of this work is to prove that the SPN structure with a maximal diffusion layer provides a provable security against differential cryptanalysis and linear cryptanalysis in the sense that the  ...  The authors wish to acknowledge the financial support of the Korea Research Foundation made in the program year of 1998.  ...  By assumption on round keys, key addition layer in Fig.1 has no influence on the number of active S-boxes.  ... 
doi:10.1007/3-540-44706-7_19 fatcat:jz7fbjcgerc3pfcpvnhzqh7sou
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