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0705.1561.txt |@word gr:4 rev:5 global:2 founded:1 scalar:13 go:2 gm:1 hµρ:1 localized:1 consider:3 whose:1 calculate:3 effort:1 equivalence:1 finally:1 those:2 th:6 under:12 kν:1 p2:3 6p2:2 rise:1 account:1 choice:2 mixing:17 hµν:47 difference:1 hµλ:5 four:1 immediately:1 level:6 correct:1 try:1 vector:2 sexton:1 hνµ:2 speculation:1 jhep:1 compensated:1 consistent:1 prediction:2 sign:2 zero:4 linear:3 even:5 what:2 nonlinear:3 appear:2 invertible:2 giving:1 sun:1 section:7 henceforth:1 annals:1 above:1 new:9 method:1 full:3 evaluating:1 exchange:1 residual:3 here:3 sgrav:1 path:1 strong:2 appears:2 change:1 knowledge:1 box:1 sending:1 study:2 studied:1 allows:1 reason:1 action:3 decouple:1 pathological:1 involves:2 family:1 extra:11 propagators:8 derivatives:1 use:4 takes:1 would:4 remains:1 chooses:1 calculation:2 nucl:1 going:2 taken:1 veltman:4 more:4 flat:1 becomes:3 leonard:1 particular:2 known:2 iii:1 must:1 mg:25 word:1 decouples:1 rξ:2 work:1 theories:2 remain:1 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0705.1562.txt |@word neighbors:4 consider:2 pointing:19 results:5 four:3 commute:1 consists:1 denotes:1 children:1 whose:5 preserves:1 inverse:1 terms:1 graph:13 deterministic:4 recurrence:6 finally:3 critical:1 tk:9 th:8 under:1 analogous:3 undirected:1 dramatically:1 sent:23 placed:1 alternating:2 supported:1 subtrees:1 abelian:2 returning:8 very:1 differently:1 focus:3 endpoint:2 every:8 rec:18 exact:1 condition:2 induct:2 harmonicity:1 obvious:1 y1:3 positions:3 t2:8 t0:2 t1:7 proposition:5 recall:2 indices:1 noted:1 martingale:2 configurations:11 height:4 zi:2 mτ:1 zd:9 priezzhev:3 second:3 further:1 zv:2 odd:1 even:2 aim:1 what:1 sub:4 section:10 xτ:4 find:2 intelligencer:1 abr:1 abs:4 above:1 new:3 ever:1 bn:2 satisfy:3 full:11 escaping:7 sinks:1 degree:5 respectively:3 never:1 equals:1 here:2 cori:1 explore:1 focused:1 subword:7 groups:1 berkeley:1 directions:2 path:6 along:2 strong:1 z1:2 change:3 extreme:1 obtained:4 remark:4 increments:1 study:2 completely:1 exiting:3 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0705.1563.txt |@word limited:2 four:5 parameterization:1 localized:3 increase:4 fronts:1 presents:3 plaguing:1 under:6 cm3:1 cm2:2 summarizes:2 kokubo:5 rise:1 every:5 summarized:3 affect:2 voir:1 vast:1 school:1 squares:1 cause:3 solution:26 diversity:8 reliable:2 degeneracy:2 jeff:1 10k:1 force:1 10m:1 consistent:1 estimates:9 direct:7 approximation:5 likely:3 street:1 qualitatively:1 estimated:9 even:11 established:1 blum:1 selected:8 dominik:11 above:6 new:11 shocks:1 evolving:4 simultaneously:3 reliably:1 never:1 equals:1 here:18 hundreds:1 ionization:2 governing:1 dominates:1 represented:1 path:1 interpret:1 obtained:8 study:7 characterizing:1 complicated:1 changes:3 mutual:3 magnetospheric:1 achievable:3 brh:2 total:49 linearly:5 plot:1 apai:2 would:8 negative:2 discrepancies:1 therefore:9 leaky:3 type:5 until:9 fractions:1 05m:1 relax:1 successful:1 mamajek:2 excellent:4 hole:15 hold:1 must:4 abundance:1 ticle:1 setup:1 nordsieck:2 mh:1 temperatures:2 already:3 example:4 give:2 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0705.1566.txt |@word edc:2 since:3 partial:2 consider:2 rev:12 magnetic:1 varying:1 results:6 leads:4 grateful:1 research:1 contributions:1 reasoning:1 increase:2 certainly:1 volovik:1 calculate:3 description:1 plasmons:2 quasi:15 critical:5 concomitantly:1 kakeya:1 nodes:5 include:1 tc:14 ingredient:1 eiq:2 supported:2 takes:2 evolves:1 far:4 frequencies:1 continues:1 induce:1 wave:17 electron:3 every:1 application:2 experimentally:1 logarithmically:1 condition:2 illustrated:2 europhys:1 exponential:1 accompanying:1 evaluation:1 solution:1 occurs:2 large:1 sθ:4 ascribed:1 vector:4 resorting:1 small:8 noted:1 configurations:2 10k:1 wavevectors:2 disordered:1 renormalized:2 consistent:3 direct:2 fradkin:1 approximation:7 zero:19 timescales:1 evaluated:1 infinity:1 qualitatively:2 dynamics:5 chem:1 linear:6 spectral:21 index:1 what:2 appear:1 partition:1 sum:1 while:1 expressed:1 uniform:2 current:33 experiment:1 above:5 new:1 net:1 increasing:1 boost:1 consisting:1 contrast:1 movement:1 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0705.1572.txt |@word monte:3 code:1 gr:3 clusters:1 control:1 suggests:2 results:3 llo:2 grateful:1 edu:1 consists:1 disk:1 causes:2 consider:2 compact:4 calculate:1 iii:1 segments:2 environment:1 effort:1 program:1 those:1 excluded:1 stable:1 case:3 supported:1 mpc:5 resample:1 baton:1 every:1 contours:1 uwm:2 parameter:1 entire:1 clouds:3 level:1 did:1 who:1 lazzarini:1 list:6 large:2 vector:1 ρh:1 small:1 caltech:1 upper:10 work:2 10m:1 consistent:4 finn:1 approximation:2 astrophys:1 second:8 christensen:1 design:3 chen:2 further:5 implemented:1 carlo:3 spectral:2 unavailable:1 section:4 axes:1 m33:1 m32:1 current:1 templates:3 above:4 values:1 consisting:1 nakamura:1 injections:3 full:2 chose:2 component:4 here:4 hours:7 corporation:1 objects:2 operating:5 ratio:12 auxiliary:1 cf2:1 appears:1 extreme:1 obtained:1 search:39 institute:1 larger:2 allows:1 prior:1 amount:5 throughput:1 within:2 milky:3 real:1 formation:1 suitable:2 studies:1 inspirals:4 examining:2 9m:1 family:1 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0705.1574.txt |@word proposition:1 code:22 guelph:2 springer:1 alg:3 desirable:1 results:10 commute:1 grateful:1 foundations:1 consider:18 whose:3 ρxi:1 transferred:1 knill:4 concerned:1 γp:1 tr:31 acting:2 send:1 environment:6 finally:1 program:1 present:7 under:5 include:4 norm:1 applied:3 belonging:1 supported:1 esa:8 abelian:1 orthogonal:4 than:1 implicitly:1 focussing:1 induce:1 focus:2 corollary:2 every:3 stays:1 experimentally:1 matrices:1 condition:10 dim:6 tra:1 who:1 trb:4 guo:1 ri:1 noiseless:9 convenience:2 vector:3 devetak:1 trp:2 trs:1 shows:1 unsharp:1 noted:1 physically:1 work:3 occurrence:1 zj:1 cfi:1 paulsen:1 bacon:1 direct:3 second:2 design:1 perspective:1 equal:2 further:5 dynamics:2 implemented:1 eigenspaces:3 linear:11 even:4 established:1 what:4 abc:2 apparatus:12 sum:5 xρ:3 expressed:4 decoding:1 access:1 version:1 above:7 new:4 construction:1 duplicated:3 preserved:2 era:1 satisfy:2 full:5 simultaneously:1 notions:1 αij:6 respectively:4 learn:1 here:7 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0705.1575.txt |@word represent:3 quarks:3 consider:1 chinese:3 secondly:1 caused:4 particular:1 results:15 existing:2 four:5 gf:6 computation:1 deepen:1 expressions:1 contributions:8 row:2 compact:1 sachrajda:2 calculate:3 mπ0:1 tr:36 dba:4 finally:4 program:1 apex:1 those:4 under:1 asymmetries:10 tb:1 divergent:1 λqcd:3 applied:2 updated:1 charles:1 amplitudes:33 presently:1 md:37 very:3 listed:1 wave:4 παs:5 figs:8 mixing:3 li:4 difference:6 condition:1 treating:1 b543:1 school:1 induced:2 level:2 proc:1 list:1 o2:3 large:4 µp:1 math:1 sine:1 indices:1 gauge:1 referred:1 noted:1 upper:2 smaller:8 compensated:1 descotes:1 dealing:1 consistent:9 edu:1 estimates:1 direct:9 approximation:4 scet:3 zero:4 value:4 further:3 dynamics:1 mπ:24 even:1 kurimoto:2 errors:4 plays:1 stands:1 sua:1 section:1 expressed:4 current:6 experiment:2 poles:1 above:6 new:1 method:5 contrast:1 coefficient:6 led:1 reliably:1 degree:1 exchange:1 respectively:15 here:3 agreement:5 reported:1 asymmetry:1 mev:12 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them:1 mass:29 time:2 observables:6 |
0705.1576.txt |@word gln:1 isotypic:1 gt:8 partial:5 consider:35 gp:2 rob:9 global:29 soudry:6 results:21 ds:4 ωw:12 proposition:32 overkill:1 computation:7 edu:2 go:7 follow:1 gm:1 gl:22 henniart:4 functorial:2 gh:4 devoted:1 whose:12 preserves:1 inverse:2 calculate:2 concerned:1 technique:1 new:1 passage:1 list:1 finally:5 restriction:10 those:3 speh:10 under:7 stabilizing:4 analogous:8 γg:1 norm:1 division:8 conjecture:8 lack:1 g2:1 g1:2 orthogonal:4 very:3 rise:2 jolla:1 corollary:7 every:9 size:1 entries:1 ro1:3 ro2:4 matrices:1 condition:11 χd:3 identity:1 discovered:1 thms:5 immediately:4 called:1 bn:1 irreducible:62 occurrence:1 t2:3 solution:1 ioan:1 leave:1 discrete:32 convenience:2 vector:1 math:31 small:12 zhu:1 statements:1 υv:1 noted:1 kudla:8 says:2 irr:6 mi:1 requirements:1 direct:2 consists:1 zero:36 irreducibility:1 concludes:1 supercuspidal:27 reine:5 odd:1 theory:7 even:4 mu:2 what:2 filtration:1 appear:3 giving:1 section:29 brief:2 inert:1 poles:2 sur:1 above:29 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0705.1581.txt |@word secondly:1 consider:1 equalities:2 results:3 existing:1 four:5 proposition:2 computation:2 edu:2 consists:4 follow:1 centers:1 row:1 whose:8 inverse:3 tr:2 specialising:1 γk:2 quasi:4 present:1 excluded:1 presentation:1 case:6 conjecture:3 m2j:3 straightforward:1 rise:1 corollary:3 every:2 entries:6 matrices:6 condition:1 partitions:10 school:1 exponential:1 immediately:2 solution:1 fewer:2 large:1 convenience:2 vector:1 mλ:10 indices:1 deleting:2 noted:1 upper:2 direct:3 equation:2 second:3 perspective:1 recursions:1 odd:13 theory:1 even:15 appear:1 invertible:4 giving:1 xσ:2 section:13 brief:1 shares:1 agrees:1 above:1 new:8 increasing:8 consisting:8 coefficient:11 processing:1 degree:3 respectively:3 here:3 xλ:1 groups:3 address:2 represented:4 appears:1 obtained:7 rapha:1 remark:1 allows:1 products:3 action:1 specialize:1 being:1 via:3 shorthand:1 requiring:1 total:1 sch:1 recurrence:2 use:6 feb:1 proceed:3 would:1 prove:2 sake:2 positive:5 contains:3 finally:2 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0705.1603.txt |@word 2m2:1 gs:4 consider:1 gp:2 mnp:21 canonical:1 magnetic:10 comparatively:1 splitting:7 kernphysik:2 integration:1 uzbekistan:4 roy:1 ge:4 woods:1 ga:3 parameterization:4 bergmann:1 follow:1 expressions:2 contributions:1 goeke:1 sch:1 devoted:1 increase:1 depend:1 calculate:1 mπ0:3 marcos:1 isobar:1 dasso:1 tr:18 fanchiotti:1 environment:17 finally:3 those:3 th:27 under:7 analogous:1 include:1 case:10 amplitudes:1 advantage:1 very:4 nappi:1 reader:1 conditions:2 induce:1 results:6 lopez:1 thorsson:2 axes:2 summarized:2 em:4 difference:39 condition:4 leads:5 lenske:1 level:10 lombardo:3 2λc:1 erratum:1 t2:1 solution:4 t1:1 solved:2 convenience:1 vector:1 2m2n:1 small:6 shows:4 setup:1 work:9 compensated:1 mahaux:3 findings:2 rv0:1 dealing:1 consistent:6 requirements:1 b21:1 b20:2 surrounding:4 second:1 2fπ:3 bombaci:2 chen:1 qualitatively:3 ter:1 oller:1 odd:2 gm:3 schiffer:1 linear:2 even:6 errors:1 stands:1 fine:1 section:1 lead:2 near:2 expressed:2 d3:7 current:2 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0705.1604.txt |@word marinescu:1 represent:1 magnetic:2 roc:1 dynamic:1 results:12 illustrated:1 αr1:1 computation:1 edu:1 go:31 expressions:3 denotes:1 r1i:1 inverse:2 calculate:2 alamos:2 shanghai:3 presents:2 charge:1 c5:37 excluded:1 division:1 supported:1 r12:3 presently:1 g1:6 zhang:7 harmonics:1 wave:5 electron:3 kℓm:1 hylleraas:2 ovsyannikov:2 hamiltonian:2 βd2:1 itamp:4 standards:1 large:2 evy:1 vector:1 eigenvalues:1 degeneracy:2 variationally:1 work:4 sign:1 approximation:1 second:5 evaluated:1 substituting:1 nonlinear:1 clock:1 3s:3 section:2 3p:40 above:2 waals:1 new:3 method:1 3d:3 coefficient:1 χns:9 exchange:1 multipole:3 respectively:3 atoms:13 ionization:1 tiesinga:1 china:1 free:1 separation:2 address:1 along:2 transformation:1 obtained:3 parameters:2 rigorously:1 institute:2 study:4 tµ:3 published:2 f1γ:3 chang:1 studies:1 projection:1 f1:3 compare:1 highly:1 sizeable:1 summation:1 total:2 derivatives:1 use:2 usa:2 positive:2 coupled:1 visit:1 finally:1 generate:1 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