153 research outputs found
On the initial value problem of a periodic box-ball system
We show that the initial value problem of a periodic box-ball system can be
solved in an elementary way using simple combinatorial methods.Comment: 9 pages, 2 figure
Correlation function for a periodic box-ball system
We investigate correlation functions in a periodic box-ball system. For the
two point functions of short distance, we give explicit formulae obtained by
combinatorial methods. We give expressions for general N-point functions in
terms of ultradiscrete theta functions.Comment: 13 pages, 2 figures, submitted to J. Phys. A: Math. Theo
Tropical Krichever construction for the non-periodic box and ball system
A solution for an initial value problem of the box and ball system is
constructed from a solution of the periodic box and ball system. The
construction is done through a specific limiting process based on the theory of
tropical geometry. This method gives a tropical analogue of the Krichever
construction, which is an algebro-geometric method to construct exact solutions
to integrable systems, for the non-periodic system.Comment: 13 pages, 1 figur
Max-plus analysis on some binary particle systems
We concern with a special class of binary cellular automata, i.e., the
so-called particle cellular automata (PCA) in the present paper. We first
propose max-plus expressions to PCA of 4 neighbors. Then, by utilizing basic
operations of the max-plus algebra and appropriate transformations, PCA4-1, 4-2
and 4-3 are solved exactly and their general solutions are found in terms of
max-plus expressions. Finally, we analyze the asymptotic behaviors of general
solutions and prove the fundamental diagrams exactly.Comment: 24 pages, 5 figures, submitted to J. Phys.
A crystal theoretic method for finding rigged configurations from paths
The Kerov--Kirillov--Reshetikhin (KKR) bijection gives one to one
correspondences between the set of highest paths and the set of rigged
configurations. In this paper, we give a crystal theoretic reformulation of the
KKR map from the paths to rigged configurations, using the combinatorial R and
energy functions. This formalism provides tool for analysis of the periodic
box-ball systems.Comment: 24 pages, version for publicatio
Pendekatan Lean Six Sigma Guna Mengurangi Waste Pada Proses Produksi Genteng Dan Paving (Studi Kasus Di PT. Malang Indah)
PT. Malang Indah merupakan salah satu Perusahaan di kota Malang yang memproduksi bahan bangunan, misalnya genteng dan paving. Penelitian ini dilakukan untuk mengidentifikasi waste apa saja yang terjadi dan upaya apa yang dapat dilakukan untuk mengurangi waste tersebut. Penelitian ini menggunakan pendekatan konsep Lean Six Sigma untuk mengidentifikasi dan meminimasi waste. Dengan pendekatan Lean Six Sigma, diharapkan waste yang terjadi di PT.Malang Indah dapat berkurang tiap bulannya. Tahapan penelitian yang dilakukan mengikuti siklus DMAIC. Tool FMEA (Failure Mode and Effect Analysis) digunakan untuk menganalisa dan dicari kemungkinan kegagalan (failure) yang akan terjadi atau yang sudah terjadi. Berdasarkan failure yang ditemukan, usulan perbaikan disusun untuk mencegah kesalahan mengatasi kesalahan yang terjadi terutama akibat human error. Usulan perbaikan disusun menggunakan tool poka yoke, dimana tool ini dapat mengantisipasi kegagalan yang mungkin terjadi dan meningkatkan ketelitian karyawan dalam bekerja. Hasil penelitian ini menunjukan adanya 6 jenis waste yang terjadi pada proses produksi genteng royal yaitu Environmental, Health, and Safety (EHS), Defect, Overproduction, Waiting, Transportation, dan Excess Processing serta 5 jenis waste yang terjadi pada proses produksi paving kotak yaitu Environmental, Health, and Safety (EHS), Defect, Overproduction, Waiting, dan Excess Processing. Usulan perbaikan yang diajukan berupa pembuatan penahan dari kayu, penempelan peringatan berbentuk poster di dinding area proses pencetakan, prosedur penumpukan dan pengangkutan produk, alat perata cetakan berbentuk (T) terbuat dari kayu, dan SOP proses pencampuran paving kotak
Now you see it, now you don’t:Optimal parameters for interslice stimulation in concurrent TMS-fMRI
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Additional sampling directions improve detection range of wireless probes
PURPOSE: While MRI is enhancing our knowledge about the structure and function of the human brain, subject motion remains a problem in many clinical applications. Recently, the use of wireless radiofrequency markers with three one-dimensional (1D) navigators for prospective correction was demonstrated. This method is restricted in the range of motion that can be corrected, however, because of limited information in the 1D readouts. METHODS: Here, the limitation of techniques for disambiguating marker locations was investigated. It was shown that including more sampling directions extends the tracking range for head rotations. The efficiency of trading readout resolution for speed was explored. RESULTS: Tracking of head rotations was demonstrated from -19.2 to 34.4°, -2.7 to 10.0°, and -60.9 to 70.9° in the x-, y-, and z-directions, respectively. In the presence of excessive head motion, the deviation of marker estimates from SPM8 was reduced by 17.1% over existing three-projection methods. This was achieved by using an additional seven directions, extending the time needed for readouts by a factor of 3.3. Much of this increase may be circumvented by reducing resolution, without compromising accuracy. CONCLUSION: Including additional sampling directions extends the range in which markers can be used, for patients who move a lot. Magn Reson Med 76:913-918, 2016. © 2015 The Authors. Magnetic Resonance in Medicine published by Wiley Periodicals, Inc. on behalf of International Society for Magnetic Resonance in Medicine. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.The project was supported by funding from the Isaac Newton Trust, the Wellcome Trust ISSF, and the Cusanuswerk funding body (Bonn, Germany).This is the final version of the article. It first appeared from Wiley via http://dx.doi.org/10.1002/mrm.2599
Solutions to the ultradiscrete Toda molecule equation expressed as minimum weight flows of planar graphs
We define a function by means of the minimum weight flow on a planar graph
and prove that this function solves the ultradiscrete Toda molecule equation,
its B\"acklund transformation and the two dimensional Toda molecule equation.
The method we employ in the proof can be considered as fundamental to the
integrability of ultradiscrete soliton equations.Comment: 14 pages, 10 figures Added citations in v
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