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The M-theory 3-form and E8 gauge theory
[article]

2004
*
arXiv
*
pre-print

We give a precise formulation of the

arXiv:hep-th/0312069v2
fatcat:pbgoeehxmfac3my34uhuu7b6na
*M*-theory*3*-form potential C in a fashion applicable to topologically nontrivial situations. ... In our model the*3*-form is related to the Chern-Simons form of an E8 gauge field. ... The cubic refinement law follows from the simple algebraic identity 1*6*(a + x + y + z)*3*− 1*6*(a + x + y)*3*− 1*6*(a + y + z)*3*− 1*6*(a + x + z)*3*+ 1*6*(a + x)*3*+ 1*6*(a + y)*3*+ 1*6*(a + z)*3*− 1 ...##
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On the existence of cycle frames and almost resolvable cycle systems

2011
*
Discrete Mathematics
*

A k-

doi:10.1016/j.disc.2011.07.008
fatcat:otexovebjff2vaut72marufziy
*cycle**system*of order n whose*cycle*set can be partitioned into (n − 1)/2*almost*parallel classes and a half-parallel class is called an*almost**resolvable*k-*cycle**system*, denoted by k-ARCS(n). ... Stinson et al. have*resolved*the existence of (*3*, λ)-*cycle*frames of type g u . ... So, we shall investigate the existence of*almost**resolvable**cycle**systems*in this paper. ...##
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Further results on almost resolvable cycle systems and the Hamilton-Waterloo problem

2017
*
Journal of combinatorial designs (Print)
*

In this paper, we

doi:10.1002/jcd.21571
fatcat:s6hhqbx7cjepnhthdo4f5wjiwm
*almost*completely solve the existence of an*almost**resolvable**cycle**system*with odd*cycle*length. ... We also use*almost**resolvable**cycle**systems*as well as other combinatorial structures to give some new solutions to the Hamilton-Waterloo problem. ... In the last section, we shall present some*direct*constructions and use these recursive constructions in Section*3*to prove our main results. 2*Almost**resolvable*k-*cycle**systems*A k-*cycle**system*of order ...##
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More results on cycle frames and almost resolvable cycle systems

2012
*
Discrete Mathematics
*

A k-

doi:10.1016/j.disc.2012.08.002
fatcat:qqqhdler5fbhrn2a6qfjrpjkgm
*cycle**system*of order n whose*cycle*set can be partitioned into (n − 1)/2*almost*parallel classes and a half-parallel class is called an*almost**resolvable*k-*cycle**system*, denoted by k-ARCS(n). ... The existence of (k, λ)-*cycle*frames of type g u with*3*≤ k ≤*6*has been solved completely. ... Construction for ARCS In this section, we will use*cycle*frames to construct*almost**resolvable*k-*cycle**systems*. We first present a general construction for an*almost**resolvable*k-*cycle**system*. Proof. ...##
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Experimental and numerical characterization of ion-cyclotron heated protons on the Alcator C-Mod tokamak

2007
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Plasma Physics and Controlled Fusion
*

Using a detailed model that accounts for beam, halo, and impurity CX, core proton temperatures of ∼30-120 keV are directly measured for the first time in lower density (n e0 ∼ 0.8 − 1.5 × 10 20 /

doi:10.1088/0741-3335/49/6/013
fatcat:sesn4taj6vfgfczz4d4s7diig4
*m**3*) ... Alcator C-*Mod*plasmas using only ∼0.5 MW of ICRF power. ... All of these problems can play a role if a typical*direct*-sight real-time PHA*system*is used on Alcator C-*Mod*. ...##
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Support sizes of triple systems

1992
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Journal of combinatorial theory. Series A
*

The possible numbers of distinct blocks in a triple

doi:10.1016/0097-3165(92)90017-o
fatcat:mpjwvcfrnjbuhmgaccrkvoledi
*system*of order v and index 1 are determined for all u and all A, with four exceptions when v= 14 and one exception when VE 8 (*mod*12). ... The spectrum is determined using a number of general tripling constructions for triple*systems*. ... TS(v, A) with respect to two copies of the complete design. 1 TABLE I u I (*mod*12) wu, A) (44 S",*3*" + 2, S" +*3*, . . . .*M*", A 1,*3*, I,9 mu,*m*, + 4,*m*, +*6*,*m*, + I, . . . . ...##
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Equipartite and almost-equipartite gregarious 4-cycle systems

2008
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Discrete Mathematics
*

The latter complete multipartite graph, K n(

doi:10.1016/j.disc.2007.07.056
fatcat:svbuumxgtzhghb46t6oiv3hmnu
*m*),t , having n parts of size*m*and one part of size t, has a gregarious 4-*cycle*decomposition if and only if (i) n*3*, (ii) t*m*(n − 1)/2 and (iii) a 4-*cycle*... decomposition exists, that is, either*m*and t are even or else*m*and t are both odd and n ≡ 0 (*mod*8). ... There is a gregarious 4-*cycle**system*of K n(*m*) where n 4 if and only if (i)*m*is even or (ii)*m*is odd and n ≡ 1 (*mod*8). ...##
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Steiner systems $S(2,4,v)$ - a survey

2010
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Electronic Journal of Combinatorics
*

We survey the basic properties and results on Steiner

doi:10.37236/39
fatcat:pnaqutsoz5ebhoppf6cm35hnaq
*systems*$S(2, 4, v)$, as well as open problems. ... Novák proves the following results for*m*(v):*m*(4) =*m*(5) =*m*(*6*) = 1,*m*(7) =*m*(8) =*m*(9) = 2,*m*(10) =*m*(11) =*m*(12) =*3*,*m*(13) =*m*(14) =*6*,*m*(36t+*3*) = 36t 2 + t,*m*(36t+*6*) = 36t 2 + 9t+ 1,*m*(36t+ 9) = ... 12) v 2 +v+*6*12 where*m*≡ 0(*mod**3*), and α i = 1 for this p i . ...##
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Intertwined Synchronized Systems
[article]

2014
*
arXiv
*
pre-print

is a coded

arXiv:1211.2296v4
fatcat:sn5g4al7nncfjma4xs6eyripmy
*system*Z generated by {v^1α_1 v^2α_2:v^iα_i∈ V_i, i=1,2} and called the intertwined*system*. ... An asymmetric-RLL(d_1,k_1,d_0,k_0)*system*is a subshift of {0,1}^ Z with run of 1 and 0 restricted to S=[d_1,k_1]⊆ N_0= N∪{0} and S'=[d_0,k_0]⊆ N_0 respectively. ... with*m**mod*T = n j . ...##
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Zero-sum flows for Steiner triple systems
[article]

2015
*
arXiv
*
pre-print

*3*

*6*and with a zero-sum 5-flow if v≡ 1 4. ... It has been conjectured that every Steiner triple

*system*, STS(v), on v points (v>7) admits a zero-sum

*3*-flow. ... A

*resolvable*TS(v, λ) exists if and only if v ≡

*3*(

*mod*

*6*), or v ≡ 0 (

*mod*

*6*) and λ is even, v =

*6*, [16, 17] . ...

##
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Observing the continental-scale carbon balance: assessment of sampling complementarity and redundancy in a terrestrial assimilation system by means of quantitative network design

2012
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Atmospheric Chemistry and Physics Discussions
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Here a hybrid approach is necessary, and we recommend its use in the development of integrated carbon observing

doi:10.5194/acpd-12-7211-2012
fatcat:sq5h4lhgd5bchlrekfmofaktzu
*systems*. Atmos. Chem. ... This paper investigates the relationship between the heterogeneity of the terrestrial carbon*cycle*and the optimal design of observing networks to constrain it. ... Edited by:*M*. Heimann ...##
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Optimal Check Digit Systems Based on Modular Arithmetic

2017
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TEMA
*

We present the necessary improvements in order to make all

doi:10.5540/tema.2017.018.01.0105
fatcat:zbd2nopoqjeubbrhdhec3ajihm
*systems*optimal. We also propose a new optimal*system*with*3*permutations for*systems*with modular base 10. ... In this article, we discuss check digits*systems*based on modular arithmetic, which are used worldwide. Check digits were created to eliminate most errors in data input of computational*systems*. ... Hence, the equation of the*direct**system*may be re-written as follows:*m*−1 i=1 σ i (a i )*mod*n = a*m*. ...##
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A survey of Kirkman triple systems and related designs

1991
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Discrete Mathematics
*

They proved that the desired schedule exists if and only if 'u =

doi:10.1016/0012-365x(91)90294-c
fatcat:rd2luccrfffj3f5yzb4jkgnq7m
*3**mod**6*. ... Since existence of a parallel class in an STS(v) requires that v = 0*mod**3*, a necessary condition for the existence of a KTS(v) is v =*3**mod**6*. ... The spectrum of*resolvable*coverings is*almost*completely determined by Assaf, Mendelsohn and Stinson in [*3*] . ...##
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Almost resolvable decompositions of 2Kn into cycles of odd length

1988
*
Journal of combinatorial theory. Series A
*

We prove that there exists an

doi:10.1016/0097-3165(88)90053-2
fatcat:avscrzbknfcjppke5o7hfjf6y4
*almost**resolvable**m*-*cycle*decomposition of 2K" + 1 for all odd ma3 and all S> 1. SC ... That is, they constructed what they called an*almost**resolvable*2-fold triple*system*of order n for all n = 1 (*mod**3*). ... Ifs E (*3*, 5) then*almost**resolvable**m*-*cycle*decompositions of 2K, are constructed in Lemma 5.1. 1*3*. n E 1 (*mod*2m) The main difference in our construction of*almost**resolvable**m*-*cycle*decompositions ...##
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Aerosol-climate interactions in the Norwegian Earth System Model – NorESM

2012
*
Geoscientific Model Development Discussions
*

The global

doi:10.5194/gmdd-5-2599-2012
fatcat:efxdzqam6zgkblc7eo5pwapbr4
*direct*radiative forcing (DRF) at the top of the atmosphere has changed from a small positive value to −0.08 W*m*−2 in CAM4-Oslo. ... objective of this study is to document and evaluate recent changes and updates to the module for aerosols and aerosol-cloud-radiation interactions in the atmospheric module CAM4-Oslo of the Norwegian Earth*System*... -*3*) 0.01 0.1 1 10 Model (μg(SO 4 )*m*-*3*) Modelled vs. measured SO 4 Meas. mean: 2.25*Mod*. mean: 2.76 Correlation coeff: 0.64 0.5 <*Mod*. ...
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