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0705.1727.txt |@word precise:1 represent:1 induces:2 ptc:1 results:2 proposition:10 generalize:1 ptx:3 multisection:1 follow:2 disk:1 centers:1 compact:1 mε:4 depend:1 analytic:1 tx:3 ty:1 tn:1 finally:1 γn:43 under:6 alberta:2 nodes:1 tc:1 p2:16 conjecture:20 grassmanian:1 very:3 continues:2 mg:14 choice:6 worst:4 2rx:2 exact:5 dominate:1 riemann:1 irreducible:9 leave:1 vector:1 rj:17 recall:1 indices:1 neighborhood:4 consists:2 second:2 chen:10 further:2 linear:7 index:6 what:1 nef:5 section:4 bergman:8 current:4 version:2 dsing:10 above:14 replaced:3 construction:3 consisting:2 compactness:2 satisfy:1 ualberta:1 degree:1 respectively:3 here:7 tangent:3 expansion:1 address:1 along:9 logarithmic:2 sending:1 remark:7 arrive:1 divisor:15 inspired:1 contradiction:1 amount:1 resulting:1 action:1 proof:23 settled:1 quotient:4 via:3 regardless:2 projection:5 family:5 f1:1 marked:2 replace:3 rφ:8 1st:2 apply:2 use:1 prove:2 distinct:2 positive:6 contains:1 next:3 comparing:1 therefore:12 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0705.1728.txt |@word sci:1 consider:3 springer:1 scd:1 roukes:1 brownian:2 results:7 injects:1 illustrated:1 quadrature:6 generalize:2 customary:1 expressions:4 instantaneous:2 factorizing:1 whose:3 simon:1 depend:1 technique:1 dp:3 braginsky:1 shall:4 topic:1 those:3 γm:87 stable:6 stochastic:2 ta:1 p2:1 3ωm:4 adiabatic:7 g2:33 g0:7 very:5 frequencies:4 conditions:5 choice:4 timescales:1 resonant:3 experimentally:3 parameter:9 exact:3 condition:9 splitter:1 vibrational:7 hamiltonian:1 ferreira:1 damped:1 large:23 solved:1 small:3 optics:1 configurations:1 heidmann:5 upper:3 smaller:5 force:9 sigg:2 10b:1 10c:1 consistent:3 10a:1 10d:1 approximation:1 rate:16 noise:16 me1:1 pass:1 chen:2 further:2 dynamics:6 estimated:2 approached:3 spectral:1 nonlinear:4 plays:1 detuned:4 g20:1 nef:17 assisted:1 nec:1 expressed:1 optimization:1 poles:2 above:2 lifshitz:1 new:2 net:1 increasing:2 dcd:2 full:5 simultaneously:1 ibid:1 clerk:2 genes:1 modify:2 here:3 2kb:4 based:1 strong:1 equations:5 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0705.1729.txt |@word segr:1 four:5 facilities:1 parameterization:2 e949:4 e787:2 calculate:2 dalcanton:1 paris:1 γh:3 worth:1 thermalize:1 raffelt:2 every:1 figs:2 solution:1 correct:3 convenience:2 vector:3 enhance:1 degeneracy:2 favoured:1 jhep:3 semileptonic:18 consistent:2 guidelines:1 estimates:3 direct:8 approximation:3 likely:3 sterile:46 machines:3 theory:6 even:3 established:1 merical:1 above:15 new:9 simultaneously:1 never:1 here:4 hundreds:1 reported:1 asymmetry:20 mev:28 governing:1 jcap:1 active:26 quark:10 obtained:6 study:7 changed:1 changes:1 appropriately:1 explained:2 neutrino:150 total:25 kobayashi:1 plot:4 would:15 dnn:1 slansky:1 dnh:3 choosen:1 vol:1 noting:1 kinematics:5 therefore:3 m3:7 m2:16 type:8 successful:2 naive:1 aware:1 warm:1 must:9 md:9 ma:1 mb:3 mm:2 ml:6 setup:5 mn:165 mh:27 mk:13 mv:4 temperatures:2 hansen:6 example:1 pontecorvo:1 give:8 relativistic:1 organized:1 indicates:3 degenerate:6 keep:1 absolute:1 end:1 provide:4 eni:6 travel:2 pedersen:2 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0705.1739.txt |@word proposition:2 kc1:1 kc2:2 follow:1 research:1 whose:1 certainly:1 ty:1 concerned:1 under:1 brown:2 amplitudes:2 corollary:9 coprime:1 matrices:1 notes:1 solution:1 large:6 vector:1 estimates:1 elegant:1 imply:1 further:1 what:1 essence:1 appear:1 d2:2 section:4 expressed:1 annals:1 above:3 sup:6 suppose:7 method:3 degree:3 here:2 alone:1 along:1 sieve:6 institute:1 periodic:1 4a0:1 4a1:1 apply:1 linearly:1 distinct:6 positive:1 yj2:2 noting:2 therefore:1 m2:5 type:1 more:2 hold:1 must:2 account:1 ramana:1 der:1 work:1 det:4 modified:1 roof:6 zhao:5 values:1 following:5 my:2 proof:2 india:1 numbers:14 kolesnik:1 holds:3 write:3 divides:2 may:5 variant:1 modest:1 plane:1 data:1 whenever:1 lines:1 element:1 hypotheses:1 so:3 order:3 allahabad:1 baier:3 indeed:1 over:2 already:1 london:1 y1:1 y3:1 y2:1 affine:3 chhatnag:1 might:1 yi:24 yj:5 thereby:1 now:3 term:1 2p:1 2q:3 sin:3 conic:1 inequality:12 chandra:1 2c:1 2n:4 interpolation:1 side:6 mean:1 subset:1 square:1 series:2 society:1 combining:2 our:2 shown:2 matrix:2 since:12 denotes:4 contained:1 rational:3 reader:1 lecture:1 math:3 shows:2 turning:1 state:1 estimate:3 arge:1 card:12 pairs:1 determining:1 length:1 δij:3 hence:1 xj:2 xi:5 ntroduction:1 plainly:1 number:19 rank:1 xy:1 2a2:1 2a0:6 2a1:3 xp:2 precisely:1 given:4 necessarily:1 relations:4 corput:1 gives:3 orollary:3 x2:5 x3:2 x0:9 x1:2 than:1 coefficients:3 dti:1 last:1 showed:1 double:2 see:1 subsequence:1 amplitude:1 yi2:2 denominators:1 lowest:1 argument:1 curves:1 any:2 lie:3 note:4 k2:1 analog:1 indexed:3 circles:1 tyi:10 suri:1 remarks:1 pages:1 χp:3 points:15 principle:3 sum:1 lying:7 applied:2 spaced:6 show:2 mri:2 relation:4 trivial:1 q3:1 q2:5 parameters:1 outside:1 lemma:3 factor:1 circle:3 do:2 triangle:3 intersect:1 notation:1 iwaniec:1 closely:1 dt:10 qt:1 heorem:2 arxiv:2 qn:1 requirement:1 set:19 depends:1 satisfies:1 best:1 surfaces:1 satisfying:7 inequalities:2 αc:2 αf:1 conditions:2 email:1 terms:1 however:1 extent:1 article:2 c22:2 both:1 essentially:1 c21:2 x2i:1 x2j:2 taking:1 density:1 harish:1 atleast:4 context:2 otherwise:2 ci:2 point:1 simple:1 period:1 sequences:1 polynomial:4 constant:1 mc2:1 majorisation:2 second:1 three:3 2a21:1 cauchy:1 interest:1 basic:1 expected:1 pi:5 2ǫt:1 c3:13 c2:19 c1:26 c0:14 present:2 case:1 replaces:1 exponential:1 will:1 replaced:3 ǫt:1 aid:1 a22:1 thus:3 bombieri:1 ernet:2 containing:1 same:3 complex:8 finite:7 higher:1 independent:2 upon:1 hand:6 investigates:1 purpose:1 recent:1 well:1 sets:1 36q:1 left:3 obtain:5 integer:16 hao:1 conclude:1 improvement:1 farey:3 other:1 combine:1 theorem:7 take:1 real:16 showing:1 sums:1 possible:2 using:5 emma:1 follows:7 schwarz:1 sparse:2 reduced:1 mathematical:1 exceed:4 right:3 classical:1 sequence:14 some:1 deduce:2 examples:2 moreover:1 2qh:2 provided:1 recorded:1 2c1:2 2c2:1 does:3 preceding:1 either:2 equivalent:1 each:4 bi:4 bj:1 rearranging:1 integers:20 pt:1 completing:1 reliminaries:1 dependence:1 page:2 remains:1 important:1 slightly:1 road:1 prakash:1 into:1 due:1 device:1 references:1 xyi:3 rows:1 van:1 sup1:5 support:1 there:3 question:1 quadratic:5 function:4 form:1 line:1 applying:1 characteristic:3 us:2 supi:1 below:2 supk:1 recalling:1 intersects:1 ai:32 aj:1 denote:5 myi:2 jhunsi:1 ay:4 heath:2 graham:1 roposition:1 no:1 when:16 vanishes:1 application:1 setting:3 mathematics:1 nt:1 conclusion:1 elements:2 my1:1 my3:1 my2:1 polynomials:4 a1:12 a0:2 a3:7 a2:9 qi2:1 implies:2 assume:2 4t:1 interval:11 together:1 4q:2 implied:1 |
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0705.1741.txt |@word secondly:1 measurements:2 allowed:1 consider:3 springer:4 hint:1 magnetic:44 roukes:1 desirable:1 splitting:23 existing:1 illustrated:1 roy:1 during:1 originally:1 intricate:2 partial:1 expressions:3 contribute:1 contributions:2 hole:3 compact:2 particles:7 heller:1 dimensionality:1 depend:1 semiclassics:17 aug:1 kato:1 wyder:3 sharvin:1 description:3 technique:2 characterises:1 hirayama:2 discussions:1 charge:28 critical:1 indicate:1 those:2 concomitantly:1 ren:1 andreev:1 mehta:1 case:8 belonging:1 adiabatic:9 straightforward:2 specialised:1 very:1 rise:1 2rc:1 keeping:1 results:8 electron:7 every:2 govern:1 experimentally:5 exact:5 leads:1 induced:1 purely:1 turns:4 notes:1 bσ:2 solution:4 large:3 frozen:1 vector:5 ossler:3 math:3 guiding:1 small:2 nikolic:1 optics:2 equation:6 application:1 fabian:1 smaller:1 force:5 usaj:4 10b:2 consistent:1 10a:1 direct:3 zb:25 aip:1 approximation:1 second:2 ehrenreich:1 design:1 realistic:1 incidentally:1 dynamics:22 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0705.1755.txt |@word limited:2 code:12 partial:3 consider:1 caused:3 lack:2 results:12 four:7 follow:1 causes:1 layers:2 zone:1 lke:1 finally:1 those:1 asterisks:2 stable:10 pamyatnykh:1 nodes:7 include:1 ta:12 belonging:1 amplitudes:1 distorting:1 outside:5 very:5 frequencies:9 implicitly:1 continues:1 focus:1 crosses:3 figs:1 resonant:3 difference:5 unno:2 level:2 tokyo:1 solution:10 large:5 solved:1 vector:2 inversions:1 eigenvalues:1 equation:8 added:1 eggleton:2 upper:1 smaller:2 force:11 overstable:11 oscillation:30 insignificant:1 consistent:5 sin2:1 goldreich:2 sign:1 approximation:4 rate:13 complicates:2 ais:1 further:1 odd:12 theory:1 even:18 what:1 appear:3 iterating:1 nonradial:1 complexities:1 anton:1 sum:1 han:1 while:6 expressed:2 version:3 poles:1 above:2 new:3 method:5 full:3 evanescent:1 lee:6 degree:22 respectively:1 component:3 here:4 behaviour:1 cos2:1 κt:3 ratio:1 along:4 strong:1 equations:10 implicit:6 logarithmic:2 obtained:3 mϕ:3 search:4 compute:1 canadian:1 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0705.1756.txt |@word katz:2 gr:3 global:2 results:4 eλ0:2 integration:3 leads:3 roy:1 follow:1 gm:9 research:2 contributions:1 consider:9 increase:1 containing:1 monotonically:2 those:1 th:1 stable:8 prd:1 applied:1 rabcd:2 outside:1 very:3 rise:1 p0r:4 sons:1 l127:1 exact:2 condition:12 clouds:2 presented:1 issue:1 anisotropy:8 weinberg:2 joined:1 large:3 solved:1 differential:1 wambsganss:4 math:1 small:10 trr:2 equation:8 6gm:1 governing:1 upper:4 smaller:3 force:3 bo:1 consistent:3 estimates:1 direct:1 understanding:1 approximation:2 generalisations:1 imply:1 tangential:10 further:3 dynamics:1 port:1 ohmer:17 salucci:1 even:2 hillebrandt:9 developed:1 giving:1 8πgp:2 section:6 expressed:2 find:4 annals:1 above:2 lifshitz:2 new:3 increasing:1 consisting:2 body:1 pose:1 christian:1 respectively:4 component:1 hku:1 behaviour:2 objects:3 ansatz:1 along:1 strong:1 equations:8 change:1 rr0:1 obtained:11 great:1 property:1 rigorously:2 institute:1 study:3 studied:3 allows:2 amount:1 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0705.1758.txt |@word arcsec2:1 precise:1 monte:2 code:3 sch:3 limited:1 green:2 global:1 results:5 four:5 eds:4 disc:16 garching:1 grateful:1 lgs:2 go:1 follow:1 disk:2 hole:36 arcsec:13 repetition:1 calculate:1 tx:1 eligible:1 technique:2 should:1 nominal:1 contours:1 excluded:1 under:2 atlas:1 messenger:2 madsen:1 program:1 southwest:1 mpg:1 tecza:1 mpe:1 provides:1 advantage:1 centers:1 very:5 mpl:1 springer:1 choice:1 figs:1 dispersions:1 atmospheric:2 difference:6 exact:1 vlt:8 condition:1 illustrated:1 spie:2 presented:2 proposals:1 radii:10 large:6 prep:2 small:2 levenberg:1 optics:2 upper:3 averaged:7 edu:1 prediction:1 tex:1 consists:2 second:1 cost:1 design:1 value:1 spectrograph:3 further:2 dynamics:4 estimated:3 carlo:2 targets:1 even:1 established:1 errors:2 marel:2 sum:1 m32:2 tremaine:3 version:1 absolute:1 above:2 boundary:1 new:2 subtracting:1 method:3 full:2 respectively:1 l1:1 component:2 residual:1 here:1 agreement:2 richstone:5 explore:2 q2:1 compressed:1 others:2 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0705.1763.txt |@word gw:2 fγ:47 λy:1 gz:2 gf:2 lln:2 d2:1 gj:4 lkn:2 cln:1 lc:1 aug:1 sγ:4 kγ:43 tj:1 tg:4 dm:64 g2:15 g1:13 g0:8 dx:2 ϕj:3 dr:2 dim:16 δz:2 arxiv:1 t2:1 t1:1 race:1 l2:28 nν:2 2l:4 2n:17 2i:1 2j:1 el:5 zn:2 zj:11 ex:1 b2:1 w0:5 lθ:4 rt:1 cω:2 t2n:1 gk:4 u2n:2 cnz:1 math:1 gº:5 g¹:8 z0:6 ker:7 z2:1 e2:1 pγ:11 tº:1 r2:1 o:9 ql:1 lº:1 jν:26 xn:2 cn:174 xa:1 f2:7 ce:7 xy:1 bγ:3 tgk:6 u1:2 u2:2 ψj:4 πz:2 kº:1 oγ:53 e0:1 δkl:3 heis:1 eν:12 hl:6 eγ:40 dtj:2 rθ:2 n¹:1 uj:7 f1:23 ac:1 kh:1 ag:20 νr:1 vol:5 az:1 ℑm:1 dk:11 εz:1 lim:2 qν:16 gkh:4 z1:2 k0:9 ag0:12 r2n:1 gε:7 gγ:14 cº:1 a2:4 kf:2 dφ:1 kj:1 sp:3 tγ:2 kl:7 χf:1 lγ:4 lξ:1 kz:2 lν:38 νr2:1 |
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0705.1765.txt |@word partial:1 gr:1 rev:7 magnetic:4 results:1 four:3 scalar:3 yavuz:6 sci:6 expressions:1 2r2:1 consider:4 increase:1 depend:8 deterministic:2 finally:1 does:2 letelier:6 worth:1 g4:8 g3:1 string:25 rise:1 exact:4 condition:4 leads:8 sant:1 presented:2 turns:1 anisotropy:2 tanh:4 solution:15 t0:17 solved:1 vector:6 indices:1 maharaj:2 zh:1 sign:1 astrophys:6 zero:3 ρa2:1 theory:1 g22:1 sub:1 unknowns:2 section:3 lt:2 above:1 new:10 unrestricted:1 satisfy:5 explosion:1 respectively:2 here:6 understanding:2 believed:1 cylindrical:3 them:1 q2n:1 concluding:1 q20:1 strong:1 equations:23 yadav:1 obtained:9 remarks:1 study:4 studied:2 suitable:4 unit:2 proceed:1 would:1 positive:1 negative:1 approach:2 yilmaz:4 therefore:6 relativistic:1 taken:1 type:8 flat:1 duality:1 initiated:1 india:3 due:1 yahoo:1 particular:3 cases:6 iii:5 must:3 c44:3 kumar:2 k02:4 c41:1 integrating:2 h11:2 equation:13 work:1 theories:1 wands:2 ρp:15 ij:1 values:4 freedom:1 following:5 f1:7 wang:7 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0705.1766.txt |@word concept:1 partial:3 consider:15 control:2 equalities:1 global:2 desirable:1 results:8 eds:1 scalar:3 proposition:7 computation:1 rieder:2 follow:1 adjustment:2 c1:14 row:1 hold:8 depend:3 γs:3 concerned:1 deterministic:1 ts:3 gladyshev:2 γt:48 γk:1 finally:1 does:2 γn:5 under:5 stochastic:21 x01:1 kθ:2 worth:2 indicating:1 g3:5 g2:5 g1:5 far:1 choice:4 corollary:4 every:2 formula:1 mixing:1 difference:5 exact:1 condition:10 leonov:2 beginning:1 presented:1 bn:1 notes:1 solution:4 t0:4 large:3 discrete:2 vector:6 dealt:1 small:3 markov:1 noted:1 martingale:6 application:3 hampel:2 nonrandom:1 ten:2 teo:1 rθ:2 consistent:9 estimates:1 measurable:6 sign:4 approximation:12 second:4 recursions:1 odd:2 quite:1 theory:9 even:1 errors:2 ˆt:1 appear:2 invertible:1 lehman:2 section:10 version:1 above:3 sup:6 new:13 method:4 violently:1 respectively:4 here:1 behaviour:3 objects:1 strong:3 equations:4 appears:1 logarithmic:1 differential:2 obtained:6 remark:11 suitably:2 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0705.1779.txt |@word four:1 whose:1 feeding:1 γq:6 γp:6 presents:3 under:6 γb:2 divergent:1 every:4 vast:1 solution:27 vector:1 indices:2 cms:1 xa2:1 wronskian:1 force:3 consistent:1 estimates:6 direct:1 approximation:3 second:15 rigorous:1 even:5 errors:4 above:22 new:14 net:4 increasing:3 coefficient:1 behavior:10 here:14 governing:1 obtained:7 study:6 approaches:12 fourier:1 changes:1 appropriately:1 divide:1 highly:9 total:2 univ:1 unit:1 γk:1 would:7 negative:18 call:1 therefore:1 m2:2 survive:2 type:3 separated:4 composite:27 odinger:1 qdt:1 separates:1 hole:1 hold:4 must:12 me:2 work:9 mi:3 mk:2 mw:9 example:11 organized:1 indicates:1 fibonacci:1 magnitudes:1 end:3 provide:3 far:2 nontrivial:2 ordinary:3 after:7 constants:3 third:3 ultimate:1 decreasing:1 order:17 over:10 vary:14 expects:1 frequency:6 before:4 encapsulated:2 exhibits:1 fig:4 easier:1 versus:1 combination:1 hb:1 band:1 effects:4 they:1 represents:11 each:15 side:1 mean:4 telescope:1 series:1 literature:1 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0705.1780.txt |@word magnetically:14 limited:1 emile:1 consider:26 pointing:1 illustrates:1 caused:1 magnetic:87 magnetised:1 results:16 existing:2 leads:6 rˆ:2 gm:1 faster:1 2r2:4 issues:2 gr:2 millisecond:3 supposedly:1 depend:2 calculate:8 effort:1 tr:1 gρ2:1 16r2:1 finally:4 present:3 excluded:1 ti:2 include:1 likely:1 worth:3 b5:1 p2:4 comparatively:1 deforming:1 risk:1 j2124:2 orthogonal:1 very:3 frequencies:1 bφ:7 wave:16 window:1 indication:1 rotational:3 sensitivity:4 icr:1 telling:1 deformations:21 condition:11 look:2 cancel:1 entire:1 school:1 beginning:1 impressive:1 solves:1 presented:3 henri:1 solution:14 d2:14 large:3 solved:5 vector:3 psr:2 braithwaite:3 small:9 eigenvalues:4 challenge:1 configurations:11 canonical:2 upper:4 work:8 force:12 oscillation:1 so17:1 sin2:8 sin3:1 zc:2 second:1 pass:1 further:3 estimated:1 obey:2 even:2 aim:2 what:5 rate:1 3r:10 section:6 crust:14 l0:2 uniform:7 current:10 dominates:1 above:2 values:10 increasing:1 worked:2 acknowledgments:1 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0705.1781.txt |@word neighbors:1 oif:1 sdsc:1 sci:1 chain:1 series:1 madsen:1 varying:1 mainz:2 kernphysik:1 four:1 future:2 ga:1 consists:1 nwo:1 hauschildt:1 bars:2 kowalski:1 waveform:3 technique:1 interactions:1 finally:1 program:3 present:1 under:1 maryland:1 division:2 supported:1 string:3 song:1 supercomputer:1 hodges:1 baton:1 suggesting:1 sommers:1 sensitivity:1 fall:2 bringing:1 categories:2 inset:2 stamatikos:1 ryskin:1 eliminates:1 level:7 transmission:1 irreducible:1 sulanke:1 leave:3 aachen:2 lever:1 becker:2 heise:1 noted:1 pmt:3 smaller:1 misreconstructed:3 29th:1 consistent:4 prediction:5 pulse:1 rate:4 yodh:1 pass:1 zu:1 estimated:1 tev:3 addition:1 ehrlich:1 errors:4 appear:1 morse:1 beattie:1 section:2 selected:2 while:1 uniform:1 looking:1 meli:1 diaz:1 above:8 new:2 acknowledgments:1 montaruli:1 full:1 meth:1 staudinger:1 spacing:2 residual:2 wuppertal:2 following:1 tracks:2 decay:3 christy:1 alone:1 affiliated:2 november:1 strong:1 obtained:1 search:2 fwo:1 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0705.1782.txt |@word secondly:1 logarithms:2 measurements:4 sci:1 ali:3 rev:10 global:1 results:6 four:5 grateful:1 expressions:1 contributions:4 whose:1 depend:1 calculate:2 γq:1 charge:2 present:2 under:1 differing:1 chirally:1 kπ:2 amplitudes:8 very:3 wave:9 c34:1 difference:2 erratum:2 zupan:1 large:6 solved:1 vector:1 small:2 noted:1 dir:1 smaller:1 consistent:3 estimates:1 direct:7 literature:1 sign:2 scet:5 imply:1 chen:1 dynamics:1 quite:3 dian:1 errors:1 appear:1 sum:1 current:1 experiment:4 above:1 ever:1 acknowledgments:1 ibid:2 exchange:2 6gev:1 here:4 asymmetry:11 china:3 strong:7 equations:1 box:1 lipkin:3 great:1 institute:1 involved:1 study:5 larger:3 allows:1 amount:1 resulting:2 bd0:2 stressed:1 qcdf:7 useful:2 ratios:10 scales:1 explained:1 prefer:1 gluon:1 apply:1 meson:16 wang:2 d72:1 plot:1 use:2 d71:1 figure:1 d74:1 distinct:1 predictions:4 process:1 nucl:3 therefore:4 qcd:7 theoretical:5 diagrams:8 more:1 fractions:3 definition:1 becomes:1 operators:2 emission:4 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