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0705.2053.txt \|@word magnetic:1 particular:2 results:1 eds:1 entropy:91 edu:2 follow:1 expressions:2 plastino:1 naudts:1 hold:1 depend:1 calculate:5 tx:1 finally:2 according:1 preserved:1 γe:2 ausloos:1 case:23 very:1 conditions:1 figs:1 summarized:1 difference:2 condition:3 solves:1 hamiltonian:3 ref:2 solution:2 correct:1 solved:2 generalize:1 shows:3 originally:1 configurations:1 force:2 oscillation:1 renormalized:31 sign:1 threshold:1 second:6 arnold:2 subtle:1 theory:1 even:2 index:3 what:1 nonlinear:5 abe:6 giving:1 section:7 version:1 above:7 new:13 method:1 coefficient:6 degree:1 respectively:3 nakada:1 beck:1 magnetism:1 address:1 equations:2 change:1 box:1 chaotic:1 involved:2 study:4 studied:1 resulting:1 adopting:2 der:11 york:3 f0:1 via:1 rkq:21 explained:1 rkx:2 plenum:1 pxk:1 apply:2 total:1 planck:2 plot:1 use:16 takes:1 usa:1 distinct:1 positive:3 contains:1 negative:7 next:1 comparing:2 yanagi:1 therefore:5 taken:4 associated:8 type:8 theoretical:1 more:1 rk1:1 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0705.2054.txt \|@word magnetically:1 limited:1 lomb:1 magnetic:32 luminosities:2 comments:1 cooperative:1 edu:2 cameron:1 causes:1 magnetospheres:1 compact:3 whose:1 producing:4 basri:4 supported:2 citing:1 does:2 those:4 stable:8 analogous:1 include:1 worth:1 indicating:4 2mass:1 coronally:2 brown:5 confirmation:2 neuh:1 very:5 frequencies:6 antonova:1 harmonics:1 electron:23 socorro:1 cool:1 dim:1 incoherent:4 lazio:2 applicable:1 large:10 electrodynamic:1 optics:1 noted:1 favoured:2 upper:1 smaller:1 neighborhood:2 periodicity:10 consistent:5 ubiquitous:1 direct:2 unpolarized:4 krull:2 second:1 pass:1 further:5 bona:1 spectral:1 established:1 appear:2 assistance:1 8m:1 poles:2 above:2 new:1 net:2 increasing:1 contrast:1 polarity:4 deemed:2 simultaneously:1 dwarf:27 degree:1 extrasolar:1 respectively:2 component:8 favourably:1 pulsars:1 hours:10 reported:4 objects:1 operating:1 active:4 along:2 strong:1 mcfadden:1 box:1 unidentified:1 naval:4 geophys:4 akr:2 larger:1 ultracool:16 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0705.2055.txt \|@word yamaguchi:1 secondly:1 leighton:4 magnetic:128 dynamic:3 four:7 consists:3 localized:1 sch:3 whose:2 calculate:3 paris:1 kentaro:1 ilya:1 under:5 criti:1 γb:4 regan:2 rise:6 berkowitz:4 experimentally:28 interleaved:1 34a:2 34b:1 34c:1 cause:7 solution:8 frozen:32 vector:10 aachen:1 expanded:1 force:3 monotonous:1 miller:1 consistent:2 estimates:1 direct:11 approximation:2 elegant:2 second:28 magnetoresistance:3 chen:2 qualitatively:4 estimated:4 even:17 established:2 complexities:1 nogu:2 exactly:1 selected:1 above:29 new:14 net:9 increasing:6 consisting:5 27a:1 magnetometry:2 tikhomirov:1 never:2 here:14 atoms:2 reported:3 asymmetry:23 mev:2 represented:1 path:5 dorn:1 obtained:12 study:7 brodsky:1 completely:10 reports:3 couplings:1 pinning:10 microstructure:1 changes:19 julio:1 diameter:3 reflectivity:7 discontinuous:1 explained:5 visibly:2 brought:1 visible:5 moran:1 total:13 unit:11 diluting:1 would:9 negative:34 discrepancies:1 mediate:2 call:1 therefore:43 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0705.2088.txt \|@word ams:1 consider:3 results:2 leads:2 eds:2 proposition:3 generalize:2 gn:2 gr:1 layers:2 whose:1 careful:1 depend:1 auf:1 ıa:1 finally:4 tm:4 th:2 ti:4 analogous:2 norm:3 conjecture:5 account:2 corollary:2 convexity:1 dim:9 sche:1 vector:8 upper:2 zn:44 second:2 reine:1 canonical:1 index:1 section:4 cell:3 steiner:1 above:1 asz:1 new:1 consisting:1 contrast:1 body:8 κn:3 notions:1 here:4 desired:2 address:2 z3:2 jorg:6 studien:1 remark:3 vectors:4 pick:2 history:1 settled:1 classification:1 f1:1 marginal:1 voln:7 raum:2 apply:1 linearly:1 hadwiger:4 proceed:1 would:1 prove:7 sake:1 contains:2 γi:13 next:3 associated:2 type:5 von:1 more:5 definition:2 zwischen:1 kn:9 parallelepiped:2 berlin:1 vn:2 particular:1 known:3 cases:1 hold:1 mg:1 ρi:5 der:1 grundlehren:1 det:31 ρn:5 dem:1 following:1 proof:21 f0:3 claim:2 give:3 minimum:2 numbers:3 hyperplane:1 sense:1 verlag:1 enc:1 end:3 verify:1 aff:1 american:1 instead:1 constraints:1 polytopes:4 product:1 mar:1 fu:1 algebra:1 may:4 max:2 different:1 hence:4 fi:24 fm:1 short:1 outline:1 whenever:1 schneider:1 znn:1 sk:7 sj:1 si:4 so:10 sm:1 definitions:1 order:5 hern:1 soc:1 course:1 cambridge:2 london:1 enumeration:1 its:3 before:1 perfect:1 outer:3 thank:1 korollar:1 τi:3 adaption:1 affine:1 mail:2 main:1 s1:4 theo:1 non:4 affinely:2 they:1 half:2 front:2 now:5 bigger:1 easily:1 simplices:1 university:1 b3:8 lagarias:1 universita:3 inequality:29 l2:9 l1:6 side:2 mean:1 subset:1 weighted:1 ei:1 ed:1 hard:1 principles:1 inhomogeneous:2 measure:1 our:1 shown:2 space:1 since:10 denotes:5 contained:6 rg:1 conjectured:2 denoted:3 rn:23 suffices:3 math:13 shows:2 theory:2 hull:1 polyhedra:1 estimate:1 siegen:3 e1:7 shortest:1 e2:1 v0:1 dirichlet:3 gritzmann:1 applications:1 geometry:4 phrases:1 omit:1 correctness:1 keep:1 counterpart:1 length:3 magdeburg:3 consequence:2 βi:5 first:1 origin:3 rand:1 bijection:1 omitted:1 number:5 precisely:2 open:2 polygons:1 size:2 given:3 introduction:2 least:2 parallel:3 statement:2 lov:1 speaking:1 gives:1 discussion:1 centered:2 continuous:2 immediate:1 authors:1 than:4 distance:2 holland:2 showed:1 see:6 ber:1 san:1 generality:2 ann:3 argument:2 say:1 need:4 isoperimetric:1 apparently:1 any:5 zero:1 transference:1 k3:1 instance:4 edge:2 take:1 encyclopedia:1 monatsh:4 fundamental:2 normal:1 germany:2 acknowledgements:1 intrinsic:4 stronger:2 vertices:7 points:19 usual:1 sum:1 fact:2 show:1 notations:1 spaces:1 find:1 based:3 lemma:8 only:5 factor:3 cube:3 notation:1 get:7 de:2 words:2 dv:6 lattices:5 regarding:1 determinants:1 arxiv:1 wish:1 qi:8 view:1 set:5 exists:3 namely:2 radius:1 result:2 close:1 best:5 subject:1 inequalities:3 convex:6 functionals:1 robins:1 smallest:1 brunn:1 between:1 boundary:1 geometrie:1 terms:2 combining:1 however:4 wi:3 jo:1 key:1 monotonicity:1 problem:1 improve:1 both:1 essentially:1 polytope:11 beck:1 according:1 facet:4 voronoi:3 und:4 context:1 uni:2 co:1 cn:5 conclude:2 simple:1 each:5 cf:6 height:1 dimensional:18 polynomial:1 moreover:2 pp:1 described:1 publishing:1 basis:1 monthly:1 wills:17 due:2 ai:48 basic:1 meeting:1 universal:2 empty:1 direction:1 corresponding:1 observe:3 bull:1 last:2 general:4 present:1 case:10 discretely:1 will:4 euclidean:3 replaced:2 situation:2 eik:1 dimensionalen:2 henk:9 conv:8 vol:42 vi:6 vj:3 vk:1 thus:4 them:1 surface:8 equal:1 ii:3 im:3 wissenschaften:1 containing:3 verified:2 april:1 same:1 angew:1 orper:3 largest:1 proved:1 independent:3 ball:2 schnell:2 trivially:1 ni:4 hand:3 triangulation:1 v1:4 v2:3 v3:3 identity:2 lower:2 well:2 roughly:1 obviously:2 without:2 dimension:2 bodies:2 left:1 just:3 less:2 obtain:8 valuable:1 facts:2 λn:10 note:1 lebesgue:1 sciences:1 regarded:1 point:6 improvement:2 lattice:58 other:2 easy:3 theorem:27 remaining:1 gave:1 enumerator:1 possible:5 press:1 integer:3 bit:2 loss:2 follows:3 facets:5 translates:1 yields:1 martin:7 mathematical:1 sketch:1 because:1 some:6 springer:2 respect:6 λfi:2 provided:1 comments:1 otschel:1 does:2 unit:2 orpern:1 minimal:3 refer:4 slight:1 bn:14 arbitrary:4 bi:10 simplex:7 ache:1 zur:2 about:1 theorems:1 remains:1 ensure:1 andez:1 slightly:1 primitive:2 mcmullen:1 lekkerkerker:1 integral:6 bound:10 three:1 en:3 references:1 eine:1 amsterdam:3 martinet:1 institut:2 additional:1 area:8 combinatorics:1 there:3 long:1 mathematischen:1 handbook:2 inner:3 translate:4 was:3 north:2 form:2 but:4 volume:10 hi:11 true:1 he:1 count:1 applying:1 minkowski:2 bounds:1 nearest:1 intersects:1 called:5 detailed:2 constant:3 computing:1 defined:2 abstract:1 describe:2 determinant:5 denote:3 single:1 right:2 graham:1 gruber:2 again:3 completeness:1 no:7 mathematik:1 when:2 sublattice:4 tight:1 prism:2 setting:1 role:1 mathematics:2 mathematisches:1 polar:1 francisco:1 vertex:1 a1:8 generated:2 a2:2 sides:1 assume:1 volumen:1 together:3 northholland:1 volumes:3 having:1 once:1

0705.2089.txt \|@word limited:1 measurements:8 remarkable:1 represent:1 results:8 illustrated:2 grateful:1 mesons:16 contributions:7 combinatorial:6 technique:2 presents:1 tail:1 those:1 include:1 random:3 advantage:1 very:1 gz:1 electron:28 balancing:1 experimentally:1 tagging:3 presented:3 evaluation:1 large:6 small:1 enhance:1 smaller:1 sign:9 threshold:1 second:1 value:1 further:1 dynamics:2 estimated:1 situated:1 tev:1 errors:2 sum:1 selected:2 near:3 cell:3 experiment:1 nlo:1 reconstruction:10 new:2 increasing:1 method:3 contrast:2 ated:1 full:4 respectively:1 loose:1 here:1 agreement:1 ionization:3 tracks:4 mev:3 excess:1 ratio:5 strong:1 adil:1 obtained:5 institute:1 dokshitzer:1 study:2 allows:2 experience:1 guide:1 amount:3 resulting:4 published:1 usually:2 eidelman:1 makes:1 particle:6 via:1 projection:1 gluons:1 instr:2 requiring:1 explained:2 scaled:1 gluon:4 quenching:1 wang:1 use:1 eye:1 usa:1 a757:1 negative:1 vitev:2 live:1 therefore:3 attribute:1 survive:1 panel:8 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0705.2090.txt \|@word sensitive:1 rev:1 four:7 scalar:3 softer:1 consists:2 whose:1 depend:1 aut:1 excluded:1 atlas:11 summarizes:1 very:1 electron:1 nikitenko:1 sidebands:3 mixing:1 tagging:1 gg:1 presented:2 irreducible:1 sliding:1 large:1 vector:2 small:3 cms:11 smaller:1 detailled:1 second:1 design:1 enhancement:1 zz:12 aim:1 errors:1 spira:1 section:2 axial:1 experiment:1 reconstruction:1 method:1 contrast:1 full:2 here:1 tracks:1 ratio:2 quark:1 obtained:2 search:3 technical:1 study:2 allows:1 completely:1 reports:1 products:1 resonance:1 narrow:1 cancellation:1 golden:1 via:1 followed:2 br:3 logical:1 gluon:2 fake:1 would:1 remains:1 contains:1 few:1 nucl:1 kinematics:1 therefore:1 qcd:1 theoretical:2 more:1 preselection:3 behalf:1 reconstructed:4 der:1 mh:13 atl:1 tdr:2 control:1 antwerpen:1 figure:4 preserving:1 states:4 exclude:1 huge:1 aldaya:1 optimised:1 provide:1 discussion:1 lepton:11 varies:1 significance:4 parameter:2 may:1 after:2 qqh:1 fb:10 coming:1 data:5 response:1 short:1 lhc:6 higgs:32 spectra:1 sn:1 sm:7 order:2 typical:1 over:3 mainly:1 years:1 logan:1 experiments:3 statistical:4 cuts:1 its:4 thank:1 fit:1 decay:11 energies:1 cleanest:1 masses:4 boson:35 better:1 window:1 production:4 van:1 main:1 eur:1 non:2 good:1 overal:1 primary:1 focusses:1 now:1 baffioni:1 drop:1 backgrounds:6 zeppenfeld:2 oppositely:1 realistic:1 mode:4 2l:2 characterized:1 constraints:1 energy:2 reduce:1 related:2 manifests:1 decays:1 ex:1 measurement:7 beyond:1 extract:1 event:3 out:1 shown:1 factors:1 squared:1 wide:3 reader:1 dominate:1 integrated:5 shows:3 interactions:1 given:1 free:1 standard:3 approaches:2 onoma:1 estimate:2 pairs:2 selections:1 starts:2 could:1 fleck:1 universidad:1 colliders:1 first:2 prospective:2 already:2 variables:2 powerful:1 number:1 channels:1 directly:1 angular:2 differ:1 introduction:2 least:2 needed:2 fermions:1 final:3 electroweak:1 sizable:1 part:1 natural:1 than:4 relative:2 level:1 determines:1 collaborations:1 isolation:1 rate:2 charlot:1 limiting:1 determined:1 spectrum:5 rainwater:2 relatively:1 depending:2 isolated:3 note:1 extracted:1 emphasis:1 potential:3 detector:2 channel:5 collaboration:1 reach:1 most:1 involving:1 significant:1 pair:1 transverse:1 branching:2 average:1 flow:1 vertices:2 universiteit:1 clean:1 charged:1 physics:3 fact:2 precise:1 selection:4 particularly:1 gauge:1 based:2 knowledge:2 only:1 candidates:1 factor:1 dominant:3 gev:12 di:2 2mz:1 vary:1 de:1 weiglein:1 despite:1 report:1 flavour:2 qq:1 processes:3 luminosity:7 arxiv:1 acknowledgments:1 filled:1 double:1 requirement:1 sensitivity:4 correlations:2 detection:1 discussions:1 state:2 between:3 invariant:6 conditions:1 discovery:7 zbb:4 complementary:1 sole:1 weak:1 ww:1 efficiency:3 hypothesis:1 contamination:4 jets:2 come:1 relying:1 topology:1 reaction:1 triggers:1 many:1 region:1 uncertainty:3 against:2 etc:1 interesting:1 distinction:1 experimental:6 simple:1 overview:1 lhcc:2 normalisation:5 cp:5 considers:1 pseudoscalar:1 pp:1 collider:1 pt:1 suppressed:1 three:2 been:1 strategy:2 reduction:1 much:2 basic:1 expected:8 ph:1 both:3 precision:7 c2:12 spin:5 will:1 cern:2 while:1 fiducial:1 couplings:4 vol:1 violating:1 ii:1 itself:1 bij:1 different:2 author:1 cross:2 same:2 events:3 used:1 running:1 recent:1 suitable:1 off:1 well:2 analysis:3 model:4 left:3 muon:1 exploits:1 less:1 marquard:1 sources:2 thanks:1 momenta:1 cut:1 except:2 remaining:1 momentum:1 yukawa:1 around:1 possible:5 fusion:1 background:14 ruled:1 displaced:2 like:1 signal:15 reduced:1 because:2 often:1 madrid:1 lead:2 broad:1 measurements:2 tracker:1 assuming:2 minimal:1 calorimeters:1 leptons:6 described:1 analyses:1 properties:4 hadron:1 kinematical:2 simulation:2 compatible:1 range:5 presence:1 into:2 within:1 signature:1 reducible:2 right:2 references:1 uncertainties:3 statistics:1 hep:1 there:3 fast:1 width:5 detectable:1 bosons:1 low:2 function:2 hp:1 criteria:1 but:1 volume:1 collected:2 line:2 highest:2 directed:1 rejection:1 inside:1 systematics:4 below:1 similar:1 inclusive:3 detectors:1 measure:1 single:5 when:1 details:1 heinemeyer:1 vertex:2 helpful:1 peak:1 suppression:1 searches:2 suffers:1 coupling:2 pseudo:2 2e2µ:2 4l:9 mass:17 puljak:1 4e:1 resolution:1

0705.2091.txt \|@word f2:1 bjm:1 xa:1 bjk:4 b22:49 b21:14 ij:5 bº:1 du:2 g22:2 g21:2 ln:4 u1:10 u2:10 2b12:11 2b11:7 b12:32 γm:1 bmk:1 g111:1 8u:3 sin:2 ak:1 math:1 bij:8 may:1 dg:1 b11:54 xº:1 b212:2 2kb:3 x2:16 x3:2 x1:12 x12:1 e3:1 ϕb:2 2u:6 cos:2 arxiv:1 kl:1 ui:1 2a:3 γik:1 du1:1 du2:1 2x2:1 2b22:7 g12:2 g11:8 2k:4

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0705.2099.txt \|@word secondly:1 funct:1 alg:1 equalities:1 results:1 eε:3 proposition:9 u2j:15 research:2 gk:16 compact:8 c0:1 technique:1 quasi:26 kε:2 worth:1 lnm:1 gz:2 corollary:21 difference:1 turns:4 notes:1 large:2 section:2 small:1 anal:1 upper:2 says:1 kolodziej:4 direct:2 second:5 concludes:5 orem:1 even:1 demailly:4 sum:2 current:2 version:2 3n:5 above:1 sup:19 new:2 increasing:1 acknowledgments:1 satisfy:1 sur:1 ration:1 respectively:1 address:1 z0:2 obtained:8 remark:2 pluricomplex:1 study:1 studied:1 reports:2 survey:2 usually:1 fourier:1 divide:1 classification:1 limj:10 limk:5 liml:4 univ:1 plurisubharmonic:9 would:1 prove:16 positive:12 negative:2 next:1 vol:1 call:1 therefore:7 associated:2 ψf:1 stokes:1 everywhere:1 known:3 hold:5 uz0:2 bedford:10 springer:1 recall:4 equation:2 work:2 ere:34 values:1 following:10 proof:43 wedge:2 memoirs:1 give:1 monge:33 assumptions:1 bk1:1 needs:1 holds:6 write:11 instead:2 product:2 may:2 max:115 silov:1 consequence:3 inst:1 fj:13 fk:4 concentrating:1 blocki:4 short:1 natural:1 lemmas:1 fine:1 hypotheses:1 sh:47 so:5 fundamental:1 decreasing:2 hyperconvex:4 se:1 restriction:3 stability:1 paper:3 london:1 satisfies:2 its:2 thank:1 la:1 masses:1 coordinates:1 jε:3 mail:1 main:1 non:1 introduce:3 number:1 acta:2 now:11 smoothness:2 nor:1 easily:1 term:7 several:4 equality:5 university:4 inequality:10 stockholm:1 l1:4 2l:1 2n:7 2i:2 2j:28 subset:6 domain:4 weighted:1 energy:2 measure:8 our:3 out:5 matrix:1 quality:1 furthermore:1 since:15 denote:3 denotes:1 geom:1 erateur:1 pluripotential:2 get:32 induction:1 math:10 theory:4 monotone:6 quite:1 nth:1 completely:1 org:3 e1:9 definition:7 applications:1 bl1:2 bl2:2 ahler:11 hence:27 first:12 already:1 toulouse:1 symmetry:1 variables:2 primary:1 dini:2 multiplying:1 directly:1 neighborhood:2 open:7 given:21 similarly:4 introduction:1 constants:2 urban:1 continuous:3 part:2 x2:2 x3:4 x1:3 relative:2 characterizations:1 zero:9 sweden:1 classes:1 were:1 ko1:3 ko2:2 generality:2 ann:1 generalization:1 need:2 seem:1 any:16 lim:29 converges:2 k2:1 k1:11 potential:2 take:9 play:1 exactly:1 shall:1 measures:9 connected:1 position:1 class:5 consequences:1 kj:19 ωvn:20 kh:2 stronger:2 proceedings:1 yang:3 principle:1 ak1:1 nonpositive:1 ki:2 solutions:1 d2:2 d1:6 inspiring:1 finally:3 aω:42 assertion:2 should:1 lemma:28 only:6 princeton:1 equipped:1 integrable:2 local:3 inferior:1 zeriahi:2 continuity:8 wide:1 dd:3 de:2 dc:2 dz:1 words:1 du:1 v2j:13 boundary:5 closure:1 covering:2 arxiv:4 fixed:4 set:23 exists:5 mongeamp:1 smooth:6 respect:4 guedj:2 observed:1 see:9 result:2 discussions:1 terms:1 subject:2 said:3 capacity:7 ωh:3 fatou:2 definite:1 enough:1 un:8 closed:4 µj:3 limit:1 neither:1 available:3 comparable:2 bt1:6 bt2:7 uj:97 weak:1 however:2 vanishing:2 key:1 amer:3 topology:1 last:3 limits:1 many:1 otherwise:1 ck:4 cn:2 characterization:1 decreases:1 sequences:3 moreover:3 cv:2 pp:1 locally:4 due:1 been:1 belongs:1 ωmax:112 certain:1 ak:2 empty:1 define:4 observe:2 c2:3 c1:2 general:3 manifolds:4 case:1 subsets:1 near:4 suppose:5 u1s:25 property:3 almost:5 metric:1 vk:37 thus:6 cone:3 currents:6 φs:6 ωun:142 belong:2 same:1 complex:31 largest:2 proved:6 finite:7 used:1 hand:7 lower:5 weakly:21 supt:4 well:11 without:3 capω:54 sets:4 ωu0:7 ωu2:32 dimension:1 manifold:4 obtain:9 amp:33 letting:12 preprint:1 lebesgue:3 point:1 other:3 theorem:37 psh:23 pluripolar:3 press:1 using:9 intersection:1 loss:2 necessary:1 like:1 semi:7 shaped:1 follows:8 complexe:3 yields:3 lose:2 essential:1 mathematical:1 exceed:1 because:1 sequence:9 absolutely:1 some:8 convex:5 images:2 umu:1 uniqueness:1 xing:6 subclass:5 ume:4 does:3 tends:7 ddc:101 proc:1 each:13 bk:4 εh2:1 bs:13 properties:3 integers:2 theorems:1 o:1 side:4 introduced:3 slightly:1 op:1 soc:3 statements:3 unbounded:2 into:1 www:3 usj:2 hermitian:1 right:4 references:1 operator:21 there:8 u1:97 u0:106 u2:3 borel:6 way:2 u0t:6 was:1 function:19 complete:12 form:5 analyse:2 but:1 regularization:1 volume:2 convergence:17 cegrell:12 applying:6 supp:1 characteristic:1 ωu:13 ωv:1 ul:14 supj:5 ωj:3 kiselman:2 ωn:5 similar:3 called:1 ωg:60 ωf:1 taylor:8 constant:7 defined:11 coincides:1 abstract:1 convergent:1 globally:1 exist:3 inf:13 functions:42 nn:3 no:7 ecole:1 when:2 vanishes:1 nal:1 valid:3 role:1 department:1 mathematics:2 nice:1 polar:1 star:1 uniformly:26 includes:3 important:2 bounded:19 ωfn:2 implies:7 dω:1 assume:13 required:5 together:2 mass:1 gαβ:2

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0705.2101.txt \|@word bypassed:1 magnetic:89 dynamic:1 four:25 nwo:1 worked:1 localized:1 sch:1 whose:7 θq:1 violate:1 γm:1 under:48 hermann:1 γb:1 γa:4 every:5 summarized:4 solution:5 viable:4 admissible:4 convenience:1 vector:46 indices:15 jhep:9 orientifold:1 consistent:10 direct:1 second:14 b130:1 antichiral:1 implemented:1 even:2 established:2 while:3 above:19 new:15 contributes:1 ǫu:1 never:2 equals:4 here:19 contraction:4 obtained:8 suitably:1 leaves:3 stressed:1 suitable:7 changes:1 cancellation:3 tu:1 classification:1 spinoza:1 seven:2 julia:1 replace:4 total:6 linearly:2 derivatives:16 would:5 negative:1 noting:1 therefore:13 type:10 until:1 tk:2 duals:6 composite:2 correspondingly:1 hold:1 must:17 springer:1 room:1 quartic:1 mm:13 fµν:51 mi:1 cancellations:1 theories:12 mp:2 example:3 indicated:2 give:4 organized:1 involve:4 indicates:2 cartan:2 keep:1 end:4 provide:1 verify:6 feature:2 how:11 nontrivial:2 ens:2 significance:2 answer:1 fourdimensional:1 description:1 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