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0705.1850.txt |@word mny:1 mnz:1 homomorphism:2 consider:3 chain:2 represent:1 gos:1 results:2 produce:1 proposition:1 anand:1 computation:1 primes:14 gi:42 compact:1 whose:11 hold:1 terms:2 aut:5 th:28 stable:13 p2:2 g2:1 g1:32 g0:35 very:1 springer:1 induce:4 wilfrid:1 corollary:5 every:29 entries:3 affect:1 condition:1 dim:6 bn:5 turns:1 list:2 solution:3 t0:1 t1:1 vector:4 independence:1 noted:1 application:1 zk:5 superstability:3 direct:32 perspectives:1 zero:7 htp:1 zp:10 canonical:1 even:3 index:3 what:1 invertible:2 witnessed:4 section:9 above:4 new:1 consisting:5 mp:2 satisfy:1 full:1 κi:2 κj:1 κk:7 ulm:4 component:1 here:1 diagonal:5 modular:1 objects:3 groups:51 berkeley:1 represented:2 standard:7 equations:2 appears:1 morphisms:1 owenheim:1 eij:4 σ1i:2 contradiction:4 minimality:1 pick:5 usually:1 studies:1 quotient:1 uniquely:2 examining:1 via:1 projection:4 classification:1 claim:26 logika:1 explained:1 boolean:1 limn:6 apply:1 univ:1 unit:1 embeddability:2 use:6 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0705.1851.txt |@word represent:1 concept:1 homomorphism:2 consider:11 priori:1 excellent:1 results:5 roy:1 proposition:10 ga:18 consists:2 dist:1 gi:4 row:1 whose:1 glimpse:1 inverse:2 re:2 paris:1 graph:3 equivalence:3 bochnak:2 uniqueness:3 aut:1 th:1 under:1 geom:1 td:1 norm:1 applied:2 4ek:1 reflections:4 g1:2 very:2 translations:1 either:1 choice:2 corollary:2 every:2 interpreting:1 zm:1 resonant:4 condition:3 satz:1 quasianalytic:15 riemann:65 induction:4 notes:1 t0:7 large:2 discrete:1 vector:5 o1:1 tk:66 small:6 eigenvalues:1 referred:1 der:1 solutions:3 upper:5 dries:13 mn:10 limites:1 iχ1:1 miller:4 estimates:1 dimensional:1 carefully:1 second:5 qualitatively:1 reine:1 linear:4 established:1 what:2 appear:1 invertible:1 lehman:5 section:13 cell:3 tarski:1 annals:2 sur:2 above:5 fractional:2 aℓk:1 obvious:1 consisting:1 respectively:1 fields:3 here:3 behaviour:5 desired:1 analytiques:1 les:1 q11:1 sing:21 standard:6 equations:1 z1:8 logarithmic:3 ordinary:1 obtained:2 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0705.1872.txt |@word concept:1 gr:18 rev:7 four:5 softer:7 generalize:1 edu:2 consider:2 compact:5 calculate:10 tw:2 tr:14 b267:1 noncompact:1 tl:18 th:8 include:1 norm:1 ingredient:1 division:1 conjecture:1 amplitudes:40 string:64 straightforward:1 kazama:1 very:2 implicitly:1 choice:1 witten:1 fall:12 condition:6 manes:1 naoto:1 level:10 turns:1 notes:1 tnr:3 leave:2 science:2 enhance:4 mn:1 zi:2 zj:1 nthu:1 dealing:1 consistent:2 sin2:5 discover:3 sign:2 approximation:1 zero:2 further:4 linear:38 nonlinear:1 plays:2 t2l:4 section:8 m32:12 reminiscent:3 above:3 new:1 t2r:3 acknowledgments:2 contrast:2 satisfy:1 full:1 simultaneously:5 lee:21 component:1 here:8 understanding:1 tachyons:1 cos3:1 directions:1 soon:1 strong:1 z1:9 z2:15 z3:9 obtained:5 cts:1 institute:2 suggests:1 m3l:2 hospitality:1 myers:1 makes:1 relation:2 useful:1 koji:1 highly:1 summation:1 propagators:1 d73:1 use:3 proceed:1 would:2 intensively:1 covariant:1 chi:2 domainwall:1 next:2 m4:1 nucl:12 m1:2 m3:1 m2:31 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0705.1878.txt |@word gr:23 remarkable:1 caused:1 magnetic:1 hamamoto:4 results:4 existing:1 mahaux:1 1p3:7 1p1:8 contributions:6 consider:1 compact:2 calculate:2 effort:1 concerned:2 technique:1 b264:1 charge:3 program:1 preserved:1 th:1 under:2 supported:1 7mev:1 zhang:2 very:7 rise:1 wave:3 sons:1 putting:1 figs:5 mixing:1 experimentally:2 difference:10 condition:1 hamiltonian:2 cause:1 integrated:6 large:11 discrete:6 dieperink:1 b286:1 small:6 enhance:1 utsuno:1 bertsch:2 configurations:4 smaller:2 trend:1 c48:1 consistent:3 japanese:1 sign:4 approximation:4 enhancement:1 further:2 20mev:1 linear:2 even:2 will:2 6fm:1 appear:1 sum:6 brief:1 expressed:2 poles:1 above:6 new:1 acknowledgments:1 body:4 bortignon:1 agreement:1 multipole:7 respectively:9 component:4 residual:2 hundreds:1 reported:1 asymmetry:13 mev:9 separation:5 ratio:3 strong:4 table:1 appears:2 sagawa:11 obtained:6 tsai:1 study:6 studied:2 reports:1 prior:1 resonance:7 narrow:1 changes:1 useful:1 subtracts:1 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0705.1880.txt |@word limited:1 unavoidable:5 partial:3 consider:12 secondly:1 caused:4 results:5 subscripts:3 leads:6 commute:1 computation:3 foundations:1 consists:1 denotes:3 revealed:1 causes:3 whose:1 preserves:1 inverse:5 σijk:1 tr:2 environment:4 finally:3 according:1 tanaka:1 swap:1 under:21 breach:1 analogous:2 crest:1 resources:1 ta:1 applied:4 kπ:1 advantage:1 orthogonal:6 very:1 2re:3 maximized:1 choice:1 denoted:2 worst:4 should:1 δjk:2 entries:6 difference:2 matrices:1 conserved:5 four:1 school:1 achievability:1 level:1 tra:10 turns:1 notes:1 developing:1 solution:2 occurs:1 large:1 spaces:1 science:1 small:1 eigenvalues:2 concluded:1 upper:5 uen:2 neighborhood:1 eλz:5 deutsch:2 ψi:10 estimates:1 za:37 hillery:1 zero:11 enhancement:1 infimum:1 zu:1 dynamics:1 odd:23 eigenspaces:2 zs:24 even:19 established:1 what:1 appear:1 apparatus:3 sum:6 remain:1 tohoku:1 version:1 en:59 above:14 sup:2 entanglement:2 new:12 hajime:1 method:16 contrast:1 satisfy:7 edited:2 evaluating:1 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0705.1891.txt |@word peacock:2 σin:4 extrapolated:1 transitions:1 consider:1 remarkable:1 represent:1 caused:4 luminosities:14 results:4 four:1 torii:1 garching:1 cooperative:1 morphology:10 follow:1 denotes:1 reasoning:1 overplotted:1 compact:2 object:1 fits:4 pointing:1 unger:1 iii:8 young:2 send:1 containing:1 environment:1 neighbours:1 does:1 indicate:1 those:5 under:4 gopal:4 analogous:1 lilly:4 uttley:1 ledlow:27 indicating:2 2mass:1 started:2 p2:1 belonging:1 mpc:1 g0:3 very:6 relatively:1 unchen:1 fabbiano:2 indication:1 every:1 dispersions:17 fall:2 classifications:1 nieto:1 difference:3 inskip:2 clouds:1 level:1 wegner:2 cosine:1 list:2 applicable:1 large:1 differential:1 database:1 sine:1 indices:1 relation:35 becker:2 noted:1 pooley:1 degeneracy:1 upper:2 heckman:7 heinz:1 ten:2 foundation:1 miller:3 consistent:2 estimates:1 direct:1 consists:1 zero:1 street:1 pasp:2 uk:6 spectrograph:2 convolved:1 chen:2 further:1 qjet:21 implemented:1 targets:2 goes:1 spectral:13 index:2 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