From 6aaec3e4537dc267adb56e5d13100ba9dabbfb56 Mon Sep 17 00:00:00 2001 From: caes Date: Sun, 14 Aug 2016 04:06:57 -0400 Subject: [PATCH] converting report to basic letter and working with tophat program to find -1 problem --- press/report/example.png | Bin 23891 -> 0 bytes press/report/report.aux | 0 press/report/report.log | 763 --------------------------------------- press/report/report.out | 9 - press/report/report.tex | 552 ++++++++++++---------------- scripts/tophat_fft.pl | 4 +- 6 files changed, 235 insertions(+), 1093 deletions(-) delete mode 100644 press/report/example.png delete mode 100644 press/report/report.aux delete mode 100644 press/report/report.log delete mode 100644 press/report/report.out diff --git a/press/report/example.png b/press/report/example.png deleted file mode 100644 index dc61173e0e441ac9823f91b7043fb7a94723bc38..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 23891 zcmd432{@MRyFU7oOeGQ}LL~E05gAGuGM8i?Bbg(F451>SfeaavS>{>hAyH&3WXO;* zWUQ2=4Euch)>{9ye#hE-|BqwuwU6C*9N+g<-uHQ)`?>DxI|2>{Rsq;50s?%ld2N668wkULQP45uu1$UsrG3Efv}&TqHs$4+T-~VPh*DV zO^UBw4UNSOF8o21nf@&tH?JjU8jpsAtmJw6=%}CXNz^raAfwtNmRj>xY?tDpPzLRj zVx`Jr4GJ1Gr%sW4(%exQy}Ew*=$NhfqpiEG_Lz1B`OW)SO^JS4ZGY`8n^?&kmqCTQ zC>5ls+k*evgogQ(5D3@&$+i;+4O_S_;Lq6hli;tu5~!F61b+(U2K z*=3)g7qVi?2Z*;MHt^}ygIhOm?qg-ezkN5?J?dVJvoojd4D;`kS5~H6rY+K+A0K!A z&_EKb(CA_OHYGLn`t|D_9UX3NZq-+3jyQj88W9*C(ry0M7gDvZH18 zdY3O>K5*bbx^~OHZxpm_y-&*A=5+B{MSjnf5f33jLCX%E@C^IXU%!5NexH&&cI@-) z?9kxgRtk#g$w|IrkL()*s2CJG5~TIAW%&8+x|2@*{{8#*?c1iNrv3RQpE?sntvi<{ z+s1tVEHDb_3L2Iw4@&c#KY6m@^PAMU$IEN0-zVE1d3$;WD{zLS9655N!qsWG;;`3` z&-YoSXFq?|H#8(CC+9wRP^E9b{i9d+Sd{wSK0V96Smkr{j^VDatOT)!jrBj$?(@H9 z`*O}dJtJgL%yr;^eENnz+i|a}8*8h#C}>Bk+;WnW$0K;o3Y*q2F)}jJ(RKT<)VfTn zDl4~Cxy{8n?OJ}_(P2_};rYkrQ0vaed<@j_-mX?wR-K)l8U;#>aru1WPNQqM!eEK@ z`+JR2Wy%2nwCwb;@Y>59P+mvMyho5^j10( zq$MRKhqvCQW#5?Uh!?5*m2&;h&lk68>=zSs6ui8=^!4?>jMmoH)O`H(DSgVy((;Z% z3KlCSHg;>9h4lbynwW1H(^?XjYR*&A!$yWHm9-PF}q8goIe#n^<2N zlMoY&EIFBw%-_E}*H6V!?lk5&JnMFv*R6@gdU>{QYHF%@>fQUR_ui3SKGX99t670{ ze8Ls5Ptrvpyz=hHj~4d!b1#Bu=VoR)Vnu_5{FWwy@89nXVHB8fSpV~-o+lvJto{kz z(hFKyF=sP|=`UYo?Rqn%tW~(^r(Qfc?oG*Y_K8gRdDCcp-QA!23(QnhRD69;oOfAWn#5ZVRp6ADe{uNYOT3Q_UToKmeJ0X!`{#V`Jm7 zy6cLZZ}58Um2|YVE$!`dva(u*EdT6Qr#W}-+~VRQ-n6*5c%tubJ`WX1BkL*R*6Hol z=AxIBlJfoWMkyf7W7N|cd$z!|*5YN8l>0odKyR$5_0QS9P^07r54tLxKUEYR7@sE zZrZSXE?|c0C@ztwWjZI9tu;0AzEUk?BvCCX5%+JrStzECX{wJnUD*lYFw7`J> z@NsHd+NZp;h`nK*)A#ocrYh08%NOtPu(F!!%{q^L9Uzw+71f6u3keOiFTa(VnyM`m z5H>&Wpg48p#IFxq@LE^DPpkF${P_GPE-p?ZUVNvV9ez2*8DwCi89j3-Dl1$6Jy$Si zeA{_tam2PKV{m8)TXtY@uy+0Dd*V_|AJKRe7S>&0COcLAitWJZYuAps`XnSI9N^@f za8Q;{CGqRRosf}|{HfOoH?ivN?R|XA+2TXPjRa|rsc3=G{aQQp1fcq&Gewz{ND4rlozJnOUCc;Sm%RM8X=ba2^^ODt8>Qh&HbED%0e}0@qv_ zZ^R2?ll3*0ZVBGSLrr$mq}u(s_s`s)!+kk=_V)JDQc@dBZ6b<_ie}fBqnQ%`WRJBP_g#DxnIB9eZik(%bCOz>m3qf$P`G#y`DCv zbv~Z6y?k;lf!p>xk@0+(m?*M&hj$>x#j62t=1ot}#S>K<}s+)?|1Nmmyav7<*l z7KU`bj4$H3@sjc49EU4*?%Y{~C92=}ozwYpTFP~5JI4e9m%39!Rh6DPFe@udOhawi zA63MAd6to$zHv<$u`*KY?V+JT<6%Zd`aDA;-X?Ce!Z|fMTG!DrKewSXQMTT9{Wn(K zwAO2RuAqK#sB8|;Jy5CMQ(0a8>eZ|IYu_x8CFc*PY)aPMxN+mnn>S-V-|v-`9bNhL zn)4}zv99jV-^+8TVeN58+Zr1D*KhV!w+T*V-$xE`*~Zelzd?>vm$p6e)BAF#J$v?8 zTU&n_D7r;=#BunTl_OFB>ZF#APP01lzMZWt3Q0ih_U+p(9|kFK9u^ljEwhU{xt~{9 zIK$TKbtE4W_@&(}Qdcwc@-C~WP>J$|D-RD34`>{!Ev=|HCV9&0(j}UG$HG?4`|)BW zU8jukG7{Q)uYCKc_{_5P;lbUzcdHL9l`qcCy-${>a2M8FaPF0o&y(<@lM^T0++o}ZhW z#;a#t!ag?u?;Kh++KV%W}3r+c0`O$cdU>f4VW457`s zy1H}k^5TzNdOiLkh>Bx!auRg_yJ$D%MqOIx%a>LF9rKKLeSLlF*Ot^gJv~)bRnMJ! zGgM|DD90iCaSuEDm$^AL%BchEm`=FI8Sx7YIYw6)iM^qlQ^ zde(aSUCyYc{VwXj`DTlS_vI3zqTj!N-xaK&9vm9FjYHubZ)v301LaSgx%V<=0Qtzb zZY?_K=;*j($ByAk0dnJC$6v&DF(|ry8C{?0dFuA=-5vL->{=yk1b~k^mq}_-&yP)1 zetv#xYHF)NMrvv~N)OnO_r{U#7e{MzS~A9JJa;iLXd4=OO||dM65U@swK!P9BO>DT zeX7GvSO5I^^Tx(LzrKzuhVG_el|nX8t*fh(_E@z1BK-^Ldwp%q;qqlF4!nM>pbNQ4 zPImT*^&jWYp6&X%@P6*|=O1(Z59pR&vHKNn1NQs5I1-;wT2gZH{!Wb^WPrIem570& zN$gz}nl2j(R8wIUT> zc5rC2a7JmS*}grdF(oA>E{-{?S_8TH?c298UAR-=HQCKII#3=zefosY zEiEmrt*udV1O^7`=;-|Uxp1+{YdhfY`WI_EyX+Q~3?RTm)2mD0zX#E>*O|Y#jRlB} zi=&srt{!;Yq^(TZ+S$1~wAtmEskSy(xN>f8E`t;AR{2Sw(2x0?4AdIx>J z{rb;^@-h0Ybq>>AiDRXUr52!P@FhGnYn+y(ggUp`<@eE5)_o!!aFsi0+e zkBF%QiV_kM@LOi)9X{L_3f0^G{ymgr85tQ^g^#ASvX(7js06qZqzf)??$LTbKWu~c zOG*KBfEN`N6=`W)j%=6mOsao=cz%oh`j7BOj~?j@c6N2KAG@-Dg;&`mCNDj`x&6|8 zC!miC*K}@{Y@o&VAgW#5R~LqsYga}?gM&E&TE;FtJ0v4hlbfqP8=ZGsoU#x-hf3Fz zurnr6RkD704h1Ksj$> z(jnxz{=2MraWG2j%g%GVFJ8QutjX)rf@?fJ}Qb)w8|Bg3`HT|v=*h`>us7!*&|#6(BtDh771aqy7tjC=f4bN zZHtSGw{F`ls9)$WB;z&<-1HQU6{2bJ2 zdgY6b`TSWZZ+j$SR%EeN)Dy5^@bXU)ZfG~ zh|p(oxbnpH--l*2m6T8?r-5SupB8^Qg(xlk`gSqvVPqtO9A&x4wckH%f4bV(WTvNI zdU_^d!pVe}VF$Aqub5bAT3XuA)00gax`LXLO ztVT-lr@iI#Azys)q^x_cKJo6iG97Y8{6j~}l^Sk?Ki54E=PadL7VIr6Y_d-Z6Z-%=~j z7K$D7@5@Dc_NtyedsahZ9hH!Z17Coomw5eWEVeAlZ+yH_LXiegUQdR`m-@{OykMlm zQO{{sA)&n6<)taJ$2qC1d{&Q0tS~V%@7Q}Jpt=E1w7$L$q*-&}`AwwB&5f0MU=HdX zj{S~Ok_*EXn{+yYUV{cUcXf3|BFDXQuXKwoeEM|J)|RhK1VEqbA*dR1GP2%$86F;MWYg29 zPg@jSYr3!y*VvLS;!kF`kA)dXY~5Y2x_bDY&$P+f9M{O z`Gp0vZ&jdk>MoM_dtIPpK6x)HG7_}IiT(SN07lSm4HjJts;fKUQMiYoy_^1!Kl3h1 zGSo1mnrqI!z5p3@4<4LVP#|;l+e64aw*Ay!60n>D^x(g8fw!Ms0@6Tjq84^AH$V5M zj_=0F?mN?e(3r)<$9v3U%fGsxditK-=UJg7=RbW(KPLbuED~QBKmGdkiiCs&7yxXG zWceUnZS6yO*0#2-H4PQ`O#6X+egOe+9AjDMc@SnwN=j3$9NV{T+lJrZLlhJgi{9?& zmXRO_SgbEvSn!4zB6}?y0#=F%3h3R?e2Vm$l$5lCRSJCr`sG5}e6L?$%{MpJ(b~L4 z!2|p}68NQdB`ON`*Zm|*RYa1oywbiAAqW!I{wg7$Yg3kuoPx$cC2gj6e9+_<4RvpvIcRu3> zBChk*)xx91heGlKg&6th5x&o1pzy}^w3kVzZXt|q;x@*E*zxvbdGr97KW<7y0Ws! ziD#0Yk_?|rl<_2@U3E$oRn?_$-)7#V2BE?Fo_5?SmWD;VJ?3yKz#VcIdLgC^WTo=>76-qKRSB%_x%F`a@q7T?@zU#|+Q)=`~O#0`}J+GlC#9Fiqtm$Jn13j+Kmvr5|cQ3Xuik>l( zx6Y5`q`<46`|E$t<{;0%6=P*&JZjlOmvKl|w*DtSNF^XoixYcx?*<|e75UxS);0$k z!QEZFq#b>PZ5&eDBGR*=p`oeildLRTRaI(@9_y|r3;07Foha?gVozV`T6du1!>zVo zJV47Tr9hcgLQ!+6ZMRjwppa0{+qcx)w!JU2e>LBBV+#fM*(b){PtijN2?-&W;a6;V zN55k%NX$i1Zp5frosWUFtF4{gk**^?t4rzO;X8X=bqX8N+9UaIetX3(rXkvO&`K9f z)!IbFS(`ZDAD_eZ1*2za+N9`0e)!u{obK=660OX&i(B0WZ!v&s7qMZAk8kUII7<=~ z80a?hHn7?esgomMM!LAR4=6ocx#?0)VYJpA6N{z?hNF2bPhj=B?GT7>A7TifdA1&Y*G;N zfGW1#hTz7r|G*9cF`>1Z#W&)K{?MD*Tnh6~-kYA0;W$`)@bKXx+$C{iu!Y-PzMO#V z#m>&YYgdWOZV)qIw1}ChcPw%QfSZ_rKn{wDdMjS6gQaCt z-L25o5m&q&(1akZpZvKLFKT^1C`btvGxEgSYO9VoqB4U>vW)9}`I1{gqP(W&acp}_ zOW5+o#-SlYdHGwOm0`DT-Fo_T8tg{6zmdS>Ew`<-H8n3dI(9yO{O9L;r`SgHw}1iX zQco|8)*1=!-dvqdbg}z9R__P489P6wbz;I&JhV{02`wH-2CToDii)}E=*p)DvUc|N zuF_Wow`{qkS76$jJ=oSJaPVNDp{6IufsTOC#rzR#2#d8N7lag{@7;+n}@pLm) z$+^%5_FQR>E-f`D;pm# zkY}c0^85#L~x~rsq4XFp4*c-)Ht_2)@L0+EF zoW`<6(Xm5^zBUGK3kbu4Jh{j(5aj=G=!F=J2m18)c;u2 z`V2CpzTgIaI!1y<&7jgHJuxv+nG3>Cwuvk5uKw4@P*CJKq1-o1O^ zaAs-r-`)7|Y?|0ycuprkv*4#^5`e}ey}k1{ssozor1bQIbd;kAyEmyyZ6OPQOf2FK zpTSva^i)+rKI5-$LK;zwfOeB0eo6NDp zhr|DT^e9WJ3%@lB^|mZci|Uw&2)e+tW@eiZ5dndHg3i}>#7iJQJxSqZWlabRqXYb_ zJ3#s$!t?W8|KpPLzX;nWkJDfA@mWI;wQt|Pt8Q*U<2P^J`o6UEYX_A3q;HVOSMMkL zo;Yy=>J7NA;-Vt3D5lEFcPcAAL8|EsPDzVF8h@$zfQ(pvupx^hu+C`dj=4;CYCI}BSYBWRpCF*|ZYI*YEjBSoz+_vuMny-XUhqG>&KF{LBNN}jXrJ*U zTk7Bk#5S5dC_GKCUcG<+UZ6rZmF0d4vy4o4k`9Bhet0wU&TJ{I@DYc_Ly`J^=d&AE z%=$809J9w(5>u342u$35ciZ zNJ$N~wS|7Uf~SpBJx>1>FCC&>IT~N2i_;1UhXVg;kk`mzALu^D@2r(<3Y`upTPqNH z6$b~$lAd;W33o@{y?O4F318PKJel2g{2F5v>)(?b<>&mqWwTwpIG*6vxWYbhZk#MP zn)V~ErRkyEkVoRXA#Zg1i)<#}{|Byxe+{9_^jAzxM^Vt#)zyD2FJtrhZf;z!JD_F6 zptB+iU&Sc~jUJy@n)T=`&gziS zLIy>yAgtH$FkgN-f-o-1i|fP9o1|b99fOOC4r}y)Q(i6*oQq3+_Pank(dDc}#fh(p z+X{I3&FLneIBI5h`8oJ)ZXwug>BU!{Z~5&yY88~ROi9I4zm=Pejpx;RmcPD~m2fPJ z3g@z_*AnZ{7_VH`tD^8_qvT6r>9OoYjn(A<2Gk1yEB z1se)XFpL9U{plMc6d5Y48tQ$sJmuld?-scNEc-j_vgud|C+9NQrv1TeAaP)W0&~T&Q zW|M3E3rzsdnt(2v@K*& z={jE(OrF838#=2yZsIr>RjU1Uwp*33UrB&HxfzO-R;p`5efSuu$_MJ=kD^Nk+s4l1 zoyH}27};(*POef>>9c0Fn6%uhFo-ot-)bRGO0Ic_n&-myQ@8lF)>*PP-K397+A8K+ zs0h{8Wn0F6oCvYT8rf zOKSmSx%YbymVNb>E~_e~Cv=7Ruik`*sXHU<3aRb`uonJe=`vJm!3AP3BPt2ZlvGSf zG@mlmEj9h4p}PDh%M*BxOd$j7D>_f*2w^l-OeZh%twdhl)kSi^bBh?=?Ie<8qKSCzKF{@F@cxLHW9ZFyJMh8ddjnD>1}CWf-7;xBX5T)n(z5Px#_{$b6m#_c4)=$L+E}uv=x&H~AnE2~d94Lx^?Ge5yB$_k~t9sT& zoohU0cY7^{EA3kitYSMX!`siyE_bvMr~hcdwC;;KLWm~`Gd`;(u0E!nT7HG6vae#EEIrg%P;{Zy{4!_pJ?+1}W%Uc0j-OnpE> zWsiBQN>zohx)AU1lu)9GwlE0~H@BCkXHmrPSLj|Z@3Y3o#4tfm9Uo6tzFa}M?c|9| zBNVxIdjk0+(){eSU*@&`3hiyw{>3R6)piz%1@Lt~t$bxnwp~C#fJZ&%3M@qcc&?(Q zK5*9w$v>YfnKjA%NqR5;9w$TI&5JLI9}n}7&#bEQTAFBu7IydkeKuHJJ_>M>Y$@G- z&|M-nd^*8$+ORl!Z|KxQi;p7pc)7XX=EQdcI+4zm%>KK-<#?ararH$ob9_)H)l;F z$ym9;hqz7mzMggD|29dN{p*Ubam>h)_A!#2vFih|P6szdH=oXXsI`*-k!HM!rhwuq*2#e=hlf{M@)}L!OK*2iCwq)l>XVF2yaeD)HgH zeQ$9a7b%$uhIzWHjhTK<1v=B6#4SlU$rj~h9=XI3`2A_rgKi5-=6}BI2EK~pv+k2b zI2nfoWmw24Pmxa1!rX}6+DOGT{l9IA)D(T~qgbRhs+`&6!TKy+f(!45khyEJKBZ#D zvX*1#gd9wbnmn)l6c2w*i<0G~KHEr2=u1v1;MFZVWj49-Mt7XYJj={C?vQz-$JliV zwC8AC`>GG&UNU#oq*M&*Io+oI#{0Tn@$_kULUfFb;=i0E5SUY!>rP0YqS07XE!80>>@9H+L8?RcO z{XTXXoz!|HToS?LAE{j9erFSg`E7JRS?%W9umc0788(n1Oq=0TNIQvboVSt`{7#MojcGAn;QQ$Nv zwRwX-92p)qv|pzW*gYOdrnSE7@U%VatVBN!tPM+#Dy=eS zIK!UJFX6(t!+Y%5r!ph^%%|RVWI^BGIOc+>hxM@XeeltK^2H^Ai_jM3Z(Wx z>R>zJQ}KA{3j06NyF$_?L$QX24T`XRz9z4rfPnpd|0WA0LW%OG!9mFrC!QD`0mY4l zFEA?K@ic&hko3$#OVG`<#+~ZR#0bUXsHo)+&$k$q#PK|l!mES8enkxyD6sBn)F_-S zvR`tJow@HFQD5y!#bquW>m4+FF3Y}o^5BPqYSE?o`w(fW&ua=kCQe7JeW^UiA9X$W zG1(f}kaEj?G%%JldQbwp`n>iMcRTx5^q~Uz!v;qC7VAx!qq#GE{CWcQr>XXslMpg@ zrq>jtbZ%ufiO;UN%ONYfIi2VSZqDhxCaw^-QAcfcqkc^9@U6`GKm3;5A3&MuJ}d)3jKkB&2Uc5qqnA>&h==-n+qJLm(VYiF9p1mA+T8ew|TFac7+4Yn|?nM@p9O z>@Qv{v1kr~K}4;c=6Jz5uPh?=iqT~SQ!x?ZTu?m9!MX0p9?;yOAbRMqmzmGel zASbV?t_DYE3grh>>M(_flA_`=L;*!kGy*n(mOuSp-QDX7<|Z!Vyp|Tc8C_Rz?tQ>6 zi{%G@?hvYgyXvMcTM7+uW)%CIH46^pPOIqC2Xi4Tp-)OaLx0k3)vDe=A3U+S@n!Sw z-MgTin=PC*H8sJas+}e_gdwdplylw5@(}8;y1LH6@drZ_wB)BbIq(gPJ+mY>mU&U_ z$(KRDvarNM5;FxCM^}s_iPuu^wX7+ zd^)a73`h=9l1Gt|2}N_V@=djCfWw#so5AYWIJq9_Zb$4B(lr zpr}a0ET(K`HrCzU4Nf0ikdG2pw_ABhxKWD_CJE!3Yu~~+ZDu>=y9tELalqXYxuekLL`-Xr!3$GWWr%FV84g3LN(47DxBs8v*BN2T zT*DNmM+R#l-+)P$LZ=INZHx=V4p`q{l~Tip&Rlk3$t(ALZ<>WQ-g>EvJ0)B%yi$ONWwlL{xMxFD&|$ z0SfO)f$pW&6!UTpqNmeuWA$ll>|Rm6-J#cgeCqxzN<%-qv~>cem9Q|)>O&x}-qW>P z|GcDump7YkPNlw|E;2e=l`%Rpl9EidI#FM6x3}w|Kv17N0SZb=C86-S#)9q}7~r+9 z#%F}G%!6G4QlYl%mpdj@S69O_irop{k1U1@K>CTF_qiK>KndP+VZ%~hY3cXx-iZqe z&O_3GGhK-m;}yNyFN7OG5&Q<>2;Bzy-m6F`s3OJ{S3bSGr#es8KZ7`jSZS)DpaA+F z!vy`g2BO|S=e_zHb%?LUFsG6_E-E4d_BMwL7eGhn|A>i1w?jzMu)j{FZ?YfjQfkZp z*gxvZj#n1JeMmT~u`tg6ZlkSFWJnDM&_n}MkFa7J`6Ae2wWzbzz#A)IJ3fT-=V z4PH2g%KdxsbNV!D4Y2LOB?nFHB3j}GAb31Z4GI!QzfiWT7B$ktR-vj=tidK>0U zl9uf!J!U?Lb0Ku|+{SJr{s}bc-I5_+q&i(~;6NE54W|ftd2&UrF($eB$RW&tHF|jq+fI#0F?jOG0NcT4dEy{O;QUZ61 zkn<#x&T@_5LXf@`IN!kk0#d}m!lD=&`4r_2;=b47Evl}l@PR=dlI*A5aF#5kJ~&YY z5lLdqhbU=4bG6!5{H=Qn=2CikYbl7i6ycZE2*MjxBZdy>;t@P+lR?B>=EWE3k36>4 zr)TD@W)pY9=hqc%X(|rC_2oygu?8gySlMn>zN?Hs@cymaW8h8L$-rP~WraoDvvcP+ zaM&;%#nI8Tu)GI6vbqmmG)d>&RU2txVMnm=XlrsaGwG-Uu{#HWB>r+jX=w`k=^y}z zxuQV1HvHYDiCY}?YsEBxgisMR8T$6U;br{`ZQt3^7Y+f$<7t4G1%C6shKi0ysH&*I zfC&~(*y!0jQeVeTIs}1Hk|t@L$CoG7)qfDf;PSz40|G!-pBNwi2AkK^{ReIfLq}mi z$9n8#V*0T-@`q@ue`br9oPIvj`nXkl3^do~rX~PJ(StBgEw8M2xVVJez3VVVNyRbo zF3$+|*DJ2BM&RY)go10pckSCN)BrfXOg2K8ZvMU3Ym|n`USQR6X)(81ZO3tdBiKtY zR**AAsrDK!ZTByu2@w%5hOY>QDm zZwH+gD;Iq*pl)(9hiI!0LISZ@R1 z#4OPxTpWW6D08gR?lRZDUI1toDslU_$A&R~a_525S7&=|(Y#?(f$ziTL25k`Hd$I( zak{~a2@}T=W;kLXlu&WtwqC*g2+x15y*av=B#raq95#w`_kx30zxZv&M@DL&KcAYM z{03nGkSwnBGfJ5YZRLC#lvxh0qeqYK-`@Z+9L{>VWTFv5jOark+9#LnBfdA#aao}* zogF6|URq5t4+iU3lbPAl(vrE#CKC&padNWx%#m@pRF{aZ0Jh^03e;DTT=6@2qJ-+j zf1n*25@TE>5%_V0JQ|2IFi_F8>A8!uvx>5E7=I0dBqv9J$PNHIh1|P$$(KgVUIwet zamtkRU4MUp$My7jDq=eI_Euwb|J*%}5)c2fLl@?G&I!VNYBA}^ifF&oqSgRL&A#Z^ zgb|cM_^)p7V6B4VJz0~9jm;NbGh`&Q^XDVJAoCHJ$yUKdm0|Db6&6)X@+p;Ql7b|AG0oe_@LM&!_0L50c2jje%&v zOcH1Kos`VGceiJ4g`pRE*uGzw%>pRF=7`P=iM>rrDA$oAZ();ftqTZ43HbfzkKg9{iV!_&h5u5PDrvNc zkWfc+bD+`3+1a=!Pw)VpdPJC|k<3O_k(AUhFc4#8;ozX&bJg6O!;EMl659%xdyrnm z+4-=vEpSI}d@65tr%PN$yc>#X(rL?sp;Is9NzbUNel(rURpt~E7Z>K|{}|1%d$$%t zy7JQLl&u7RuU6IF9gku>l^dWvP*G9QnEY4Tmoxn~F%`>QQ*N**8h{n~R1O(A`4gmN zpfB{a+yRzPE5IK_n?MV8+ zp2v*Kj$!CGBGn@PRFVovUuoz1Gx;S4skojeR6Kg9#g?jdop>YNT;P8n2b?{4{*&@P z4zB2?GY5JaRVvute3BN6diUDwQRoV4eaoqxA>6N553K%W8uRxHoH&rE2wpyor~cd8 z`PA7u+KQ-Y9wc6ZB(I!GRB!C&gov)UW2(LVc`ByAK$2O*W>Ho#I^6IsUogjE-KJTt zf4E=={EYP9o6NFMnKwQn@lfFmPtO6BiG4?cB-yvSlrHTwB%0D%k|R0B{yP%yjC{ch zU;)}EvVO=OE^ygGv^=MM`ZT$R^$HFr?-0tZ2VZ9>_8y73SsDFR{886!a?Q z@Wo&Ev4fMsuN|X684L;CT#4QeLbSR6`u8afbX^eL92{~{@i=odwMQPyJ>3MDT=TV^LLd3V`mPaHgW@WhGH(NWXqWnngm9Mj^5ir)`fvC$WXhN?jd zm+#O1&u(!H-oDv)0~@_7&Zj?&d7Og;X&pqx??<09^YcL_*#S{ry((6|g1}D7(4IVT zAua=LtQw_?hQ>i6z=nC{KlU6pSfaFtBCmYK&Q_~Q7D2r zvA4BVVZ6_LbQT7(06H)!aIR)m{+q6t(;QI|gT66E^nQT^KF#nGZMGrG;GBkq}sd>J_-W!?C z^#R5RJoj*0n;IAWIfkh4a1Q%cOeAPB90j(G-Uj%3auDSMz9X2aFwFsSy467N$dM&L zA~;`#cB8d8>8cq;HVk46wk^O6^!%?4Gt$y5ff4{by5GLFYaPIIMV`^2FT8zvJ)8)H z(Kg~ooo-xHPCX-d)P`~Eo|mga(IH}ru0hF7zvHzS>o&7bE5?zI`5mM$Z4i(A2n0v5 zV_${m_lyvqZFu={ayniOODbFsF=ZlTQq|khaqo*h@hbj7Y=uOYUf7D~-rc*iCYSK) z;Y)xQ)3LJxKVZ1yZwv-|XNhX`EIsl=Gl*zkS$NNbP!0)+X@pBLC502ibT^WonAjY6 z`h2LRr6y#a`^+uAON>67EUJp`=hy2t?`0QmHH^=e*yJ-oS+uj`mxi3yk$_%e6eAfY zJeSfy4ydc3y5@RE{4>Td>JW}CCboyo3q?bpf9Cb{{QN$4_AVj#7n`tO;SCQu-}q0^ z^4t7d(3(rVg2xhWit^G@qH!0ac-XNX<`8UQR?U*bBOOiQr_$#PSC115PB5;z%Ew{Z zn|Tgzc3OlNF+A1y0-Ob;><52{Y_s9s{}g5NWrz0=2>ZSg&jt8b>n-XV#_$WX+uGXV zkJ?A0YpSc;fQ$djSp8T(@YvqbF|>&D%^I6R)EL+9yCrmX?)4 ziyFBTc#xjzyE)!uKp5OMVosk4uiqtY?)cSsYgV3CKOK~{p@G5b@83rvfRlf$tZZ)l z`NC3Ec$@tG(adu4^?&ZEE|nif#QzE=Mw2Slo8YD5Vq)Nv zw?T}elYqCIF0?ry41x}(R)^ldN2t|~2HM7*K$i~Gg#i_Cp78L9ii#pMFtT-RRE5wi z_PKsb-Pa`YYqi_<&OVBW5WW8UDzY`kW??7FNKY>+L3C1a;M+AV$H5Q`DfuCMgsMad z8mYhhD163GEuRz9knp&VoJHUxBHjO&;KKjSi4WZuFmI}X{vM+uXf;rCdKnda#KsO2 z2$`{&nVFzz&{Yyezln*jtUEFfl8hm|GZWE6(#xT(>+sm0^zslHO?G}-TEN4OzP_k0 zgm^okey}8NozzrRS+#A%;jeK@o#(K@#*VN{I6lt3L`q6}`T^U>!*hMlV8!9?#9ZAs z7OKn>Km1SiLGOU8+}&loF%WD4-s2^1pj^+8oJpUbgVwB4S1<6uzH)8*Z6#Qd;k`q@ zQg*M?R#&{u8npV3bO`YuHAi0&@^LP51Q@Rp!7HBxHsA(H0Dh6uuI#?W(58APS zgtyH>x!Km<{(E1Z3`QhDlEic^6~rGtMEr$F5Tf6cDY5;OyZ~{Y?_Wpl-&KF9vo|*n zfBYDZZ6W$#{QGYWl)Uo69~0sFf^1S(KVyfbML!4$aq;lzfAa=}*eXc8%J)^kG+1{< z&T#NdDE9yYJY|mmd2pYK1F@GNemO2LFApdK*dE?f;@|@JqEiCP!?7I!VOS_09v)U! zR@e*h|BEpTaF=2}x!Gjk)vF-sQ6r~qJX~DFVMp6>aNo{3RTy^x4~@Kr3u9J8iT%0) zPHX&7!t!wD`lV@te9{RG49y|apuuR z(9I%}-fhP(*wAR5KTolp>BGm5E}y$Oiu8TZ$N2mEC;Dv+_Vh#;B$bw49V)d&DaY$1 z&I5tZCTdVnQ5?qVYKx0qU~R)X-GA`FS^!~aTxQn?_5hYwj21-;n*f1Vqi>W`27}lV zegFg@2B|A??`LJ#QK<4#Qf|^c1iuHXCiqNLRaA=!FhZ(l z&R}e*>ZZ3I)>>P;$!9ku**w*!A>x7p7h>>budMGHOg?6HK9y+QLPDsY1;-6Ef-Xc( z7%QnHiJE z_%iiY@F1rs;UOFsMtN3zwgI&V10UKtI&Z{A0N!A{Ih1G{hvBK-w{H!LEvY<4h(qAj zVUHiHQ({qfh*rXp4%?B`qcvC%(>Go~Bh%}=JyHGwqYNlOm~@Fz$=G(xu9w%!1&&Ib z{xCcQ>wdd<8K;mBK&<-+hFLM!9=baJZxiDt`Do=n&&|OZ8W(E}Bz)t>sRXsoSkb2- zo`xTux4&h$;5k zsFN%~95$NXaKGW@!oc2*Qv_7Os384xELcznHX`7sh}O}L_I5Od3Y7ieL{**+(!P^ z_4V}1vFqp4u-n0vQ*jU{h1Y-dU<_)|t#Y@pF(wq8mnKxK1VEF-OS)PmsHvK}69<%- znf*3*qRTNuo*LXbQC^w5fQf&MXnevcCBt~3NaB-Zh1f=mW^a+!y)Kf6!D3@qfN3@m z4&bN_aA*Vr1NvDVt^GLPCeg1@KDSJQtDg0LO&lM^ z7=Zx2Kc|qO+h8~h=q0zX&*+1jUcb)njKfhsI2mXMn~XB0B&sjAO04sS*Wv0HwZ|UQ zH6}!kO}RYthNG8wDh<*Is9qpmt*4tLk(AT^rxsv{K@18T6kB4H?R9nu${8jtYd;;7 zmX4>h0CT|QlEuT0(`c^rcwQzt#xXR2QRe6Bn6*?haCT{RqJYkwtO*9cO$ch&QLM@d z%#Lg8>A6lLhs4FckK8SOla%F<5(2DSg)@iPC+ja-S=lm1&KcgD_>-TcW$ML{EK*??`ck}+;f1j{ zEuj?-C3sSi51{D0ee(vq?pYi>5})$~2Kk<|vMTo^UEheA=<2@YCYNi0SP@4bBe?Yb zMoK0|>fzk%-ZXyYjj{}8vLpvmAwCs3QUF)yiECd^hR01})c+Pa4RJQ_sIoLD&^>z| zVUh=xRO9)gNVPP6&`J#gD8%U&AKkQ$xsiN~Uf})%<&xKmZ2V8l(=r*}LWF@6#4nhk zkoKmhr$vuH!5ofwz8vzzKl7q-mDEz`Y;c4~d(saa2yzUZnE8v_L<$E*0>n57-T7Om z>{9>R*-7R-I<-hJ|BO%KS?d3>rouY@9DZ*T4=}Xx;+MTZZUNDPL&jM%Uu-a#qF>@e zbXwx7*qLoVxO;kfK>b(plt7Fsb{ITz@!}`U?F-bEv@be9HA7Q{T#1|MdGp5Hif>@5 ztUNw8RuWV_4ukeZFrC;dLO}p;B_V=#^Dfi%Uw3z}}%qA*(L~$Y-pL z^!E2ZxO3+iX0720C#G}kk-x(!xd>cz%Jn$e1#^x_(ZD0`u}lNrVY62eLg1+|g9T&6 zIOyqila`KCzBt|BH}RE2?ng!$Ly>%%=sP<<-=2@ayat674Id73Qb&|v`wc5O9!(F# z*71Zt8SDcD^{wRO@M$PzSH_Tx;s}qzz1ln57cnK?h!JH>H^OpmnO|zb`xcLE4_*%> zSy))ux6QH9^;cqU%YKB-NP1n>b9=P+lWq-2Cgl`nmfEW5+Y+-UXO(Zh7pEhEO$KD@%Kq%;K*a^eLdHF&K5W+~`{C2Wlq5F~CA? zQ`0(P%|sh1z75<@h(ZeFdMdVlLDU$|@Rla);0D=!@BB&pMbXx7U`%QYDd~?#0ZLH` z3GflPb28gcXIhKpS7O@x#fulg%6?l}FKEX=;~;z>WF!G4ANz-TAo<%0?jS06ge(8> z$6JU59bw-;r?3(JwmlSoS-=0keWW2YyT0BJg4)K$#>~tNJhsMgu1`UAx^@mABCBr} zNC@gKcD^g?4nhpPk{=ZN-oC|{@TbX1#$CI51_oN(ju9@fab58LhPK_*%d1L(v*_8g zsc+ZtMt+w;e}Ur%(m1jxvL1093u%wWOOrneoE&Gk4Yo8q2k2EDRzbR6J0NIWp;>~+J@6-tO_2KI}A3m zLF2`VPmmNhvMIftHIX4#1W1ZLZf<$kkW=OD=lJD8c7;Y=|x zv8F?J%gf8bhWshHe>!z3tVZ~?T$9p#)pX4}j@J4_icGBJIgn#wQ}e$)oLEP7~INK8$i7??vMhVkCb z-JSlNo*vHhc(?T>*7V3*d6aORIshQuXID1!=|1}diJhqgbwR|Fwf%()Nw_zRaX?*% zRwgMKD}=EmR2)YPKx5)9vCG5F?f8`s1ks^JJM=s#O~?$s;}DXgRH4amCU%`wSC>JJ z#j@LaX=BAuVWEX{at14C85mUhZEhfF<3?W~{!r9dn3>g`ND05OSD)koH=(g0&f*~; zfG;tWW6}0yq`H52xCR*>90@#OL=E;9?THI}aB`BY?=a5wL8tRO5d2E7U73R}^bsI( zI5bMXDfimB!Ce9rgBk)_2mQtK{13j%eR}l4mZ;n~IS0Q$5FO|*QKAoRR=A1@g^1Cu z1g79Q$t(VkZiFBGfPM;RGEG9ZB_SaxsQW!jJeVlj+sljooQg{DVmrDcOd>PoHvjzb zgEFuYPLaJ=rBNPmjLC>O24a9Y^v8?lDx_rCM8w5^V$pw3XKH7oa|9~GxnrC|CDspo zjcy&iaN8ULhRPiUT@&2$=FPXm1)EtuM!~PV?bZo0 z5_ntOcd&&XOS;Cz#}CRAY3$!#r$q`1Wm$#?+}3_M7wIExbIlO3!MvDfl914=m%-$d zGAU7ea3me3MD2ue1IG%ANl4Uxd&zP!0bLX~9i=Jk0I%FB38{_DhZ;&!Hq*9o5~tH) zY6=RX@MdCV)ldL{ui6!71N6)T}73#j+R^ujq1d84>kNcy!|_lC)xQ1_Z6I( zl461W8u=4EEoTZ04?WGzmoQB^-y<~P;)%6IQ#$Z0JUkpNxK>taYO1{8Zd|ykN-9=8 z!*8n(PGh=lzI`eYmPAAgDjLmAKv`M$d40?)85=(~D6jw~LI;PhfMEop7hImlT&L8v zwIeswe_^5sM^%V1d3J?Sk7zH&;uYsm;BngIrm*b%eJWWp@eE;4EY~!zAg)_QJIekPsgK5pcg>D!e zaB$)56Ot5B8JYQsi8Md!=uUkJts(|$Md%^0?VQ|Sh_maKm(kGeV`A!dYAb&B45Bpn zT?DaV-n)qvD#GdK7r#C|2#zh_1v8O!{MYL1zefi~h<{)vup-#@3XDs&L&p1>f(O*f z=>w)m0z-0`lG;Z&1hX+pC1wD*xnE+|lbbuEs3?36uSy1${*xXOYGmZZ%nZ)pge5pO zIy$4CC+VBvb=Zqg2gzxN_j9Ie?PXwqg#japkb5xGnPL_XD^nRAnl#)eTq6qhK75YORQ-2r^}YAo6GwsSN9D zBB;EpGN`OUKwbi)N~0?Uy7QTA$$l&u{~Ms+{q8;YoO=#%D4`?=#nIY9S-qJ*hc0#R zo(>G0+WL7gXi`f{m>3;Qmtc$lF|mS!oolLLz(K+a+)NN?@BaF+DnmuHKl(-svm#Cf zu_R6n47>%K1U3z|Gk`@E^C73Yi(rC~6_kM4-kF344gVlGfsl~A9qS0^7&KS)cAV>C z6C`ju6n*$~=X(ysZY;pb5*{2zHu`l$goR9dDe`k<1w_~E^TB1Two?LNYA5!c6H$9^ zQbc8_psK0_^g^6cz-2R$l|^D$MS2+Mz5M7Mie%h+cw}Umysj@T-gkXvU0t_Ap(*6t z1$l-Wg-&tZ-^0wNbxjKO_T@Gv8ZZN)AsBc05j7R9%B`Zyib&) z%nmXQGU5o~2pG+OiapdUhVdDHO_|FEp^?HgQ0}GAgd1GPd~AKZ;~- zJo^G%x5Jm}Uo|%%bbt~oe>UwQJg;xi1NKpXB0jtZjStkGd}s=!+c+oH)Wif`&M|~H z<3=Hqa~=srB0f?N=3VJxf(ikxOwHZup~w**B?w*2xd)GXJq^ugEgl_o-DX_W-?CD1 z_I;L~VTTzp^DaA4{0|?l^(_S<@&*8`l!(p*6*Pu5Ejv3~cI#HphhRxm1dfJaFrDp6~)Jq48pojn(YUmL375dUs!12 zrm2D}7e6@y6dMwVxPSa^EB1x)wdr;BojVrfVd*ze7h)$F_Ofmwdv`CNhWxgbS!_IKu;`G@DLMN^C2pW=Tz4lTHSYcE{D2#o3LFegZV!gug2ex$X4HLXJq8fFJVP=M-B3m}mYqs+70>uM0R z1!ZHS_doM-=`^g<;EnVbFK*+TL1NO!CHe^g=5|vY_3RTc!~o*ptLhsH%8O=n-a7i_ z2O6g$!SJ)$h4j;BOpkog;J1i)$8q8Z0f#E~wceB*6dBpNJekL9Ep+MNO%kDhoHb)A zO)8*X6dMU#AQ6M;lcS^10hVMIOC$kn&xVDDBKPmTS`9m{h2Ao2>vY89fKCH9dLz2A zCbk9X2M~T>Q%FupAr3#WlOv22y;12376mC8@&ir)oVIp$L^danN94-1Q6Aef_mxn^ z>*xBu^jm1V!<&w>a#$K5ku8WehH7u)!Ghjj_MF1_#X!i;2Xulq4m1nu6KWrPz1N2D z;(&6rw6bE3vU$9oCr^BI?e?n%S)EHVsZ8c?N@djQPjR@XotZ&A00OB->te$qB7}_t zxHkj}s}6~O-K$3`>EFQn+3vpwBWC6Q++b%7 diff --git a/press/report/report.aux b/press/report/report.aux deleted file mode 100644 index e69de29..0000000 diff --git a/press/report/report.log b/press/report/report.log deleted file mode 100644 index 5e4e95c..0000000 --- a/press/report/report.log +++ /dev/null @@ -1,763 +0,0 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016) (preloaded format=pdflatex 2016.8.5) 11 AUG 2016 13:44 -entering extended mode - restricted \write18 enabled. - %&-line parsing enabled. -**report.tex -(./report.tex -LaTeX2e <2016/03/31> patch level 3 -Babel <3.9r> and hyphenation patterns for 83 language(s) loaded. -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/article.cls -Document Class: article 2014/09/29 v1.4h Standard LaTeX document class -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/fleqn.clo -File: fleqn.clo 2015/03/31 v1.1i Standard LaTeX option (flush left equations) -\mathindent=\dimen102 -Applying: [2015/01/01] Make \[ robust on input line 50. -LaTeX Info: Redefining \[ on input line 51. -Already applied: [0000/00/00] Make \[ robust on input line 62. -Applying: [2015/01/01] Make \] robust on input line 74. -LaTeX Info: Redefining \] on input line 75. -Already applied: [0000/00/00] Make \] robust on input line 83. -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/size10.clo -File: size10.clo 2014/09/29 v1.4h Standard LaTeX file (size option) -) -\c@part=\count79 -\c@section=\count80 -\c@subsection=\count81 -\c@subsubsection=\count82 -\c@paragraph=\count83 -\c@subparagraph=\count84 -\c@figure=\count85 -\c@table=\count86 -\abovecaptionskip=\skip41 -\belowcaptionskip=\skip42 -\bibindent=\dimen103 -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/newtxtext.sty -Package: newtxtext 2016/03/27 v1.466 - -`newtxtext' v1.466, 2016/03/27 Text macros taking advantage of TeX-Gyre Termes -fonts (msharpe) -(/usr/local/texlive/2016/texmf-dist/tex/latex/fontaxes/fontaxes.sty -Package: fontaxes 2014/03/23 v1.0d Font selection axes -LaTeX Info: Redefining \upshape on input line 29. -LaTeX Info: Redefining \itshape on input line 31. -LaTeX Info: Redefining \slshape on input line 33. -LaTeX Info: Redefining \scshape on input line 37. -) -\ntx@fs=\dimen104 - -(/usr/local/texlive/2016/texmf-dist/tex/latex/xkeyval/xkeyval.sty -Package: xkeyval 2014/12/03 v2.7a package option processing (HA) - -(/usr/local/texlive/2016/texmf-dist/tex/generic/xkeyval/xkeyval.tex -(/usr/local/texlive/2016/texmf-dist/tex/generic/xkeyval/xkvutils.tex -\XKV@toks=\toks14 -\XKV@tempa@toks=\toks15 - -(/usr/local/texlive/2016/texmf-dist/tex/generic/xkeyval/keyval.tex)) -\XKV@depth=\count87 -File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA) -)) -(/usr/local/texlive/2016/texmf-dist/tex/latex/etoolbox/etoolbox.sty -Package: etoolbox 2015/08/02 v2.2a e-TeX tools for LaTeX (JAW) -\etb@tempcnta=\count88 -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/fontenc.sty -Package: fontenc 2016/06/19 v1.99m Standard LaTeX package - -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/t1enc.def -File: t1enc.def 2016/06/19 v1.99m Standard LaTeX file -LaTeX Font Info: Redeclaring font encoding T1 on input line 48. -)) -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/textcomp.sty -Package: textcomp 2016/06/19 v1.99m Standard LaTeX package -Package textcomp Info: Sub-encoding information: -(textcomp) 5 = only ISO-Adobe without \textcurrency -(textcomp) 4 = 5 + \texteuro -(textcomp) 3 = 4 + \textohm -(textcomp) 2 = 3 + \textestimated + \textcurrency -(textcomp) 1 = TS1 - \textcircled - \t -(textcomp) 0 = TS1 (full) -(textcomp) Font families with sub-encoding setting implement -(textcomp) only a restricted character set as indicated. -(textcomp) Family '?' is the default used for unknown fonts. -(textcomp) See the documentation for details. -Package textcomp Info: Setting ? sub-encoding to TS1/1 on input line 79. -Package textcomp Info: Changing ? sub-encoding to TS1/0 on input line 80. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/ts1enc.def -File: ts1enc.def 2001/06/05 v3.0e (jk/car/fm) Standard LaTeX file -) -LaTeX Info: Redefining \oldstylenums on input line 334. -Package textcomp Info: Setting cmr sub-encoding to TS1/0 on input line 349. -Package textcomp Info: Setting cmss sub-encoding to TS1/0 on input line 350. -Package textcomp Info: Setting cmtt sub-encoding to TS1/0 on input line 351. -Package textcomp Info: Setting cmvtt sub-encoding to TS1/0 on input line 352. -Package textcomp Info: Setting cmbr sub-encoding to TS1/0 on input line 353. -Package textcomp Info: Setting cmtl sub-encoding to TS1/0 on input line 354. -Package textcomp Info: Setting ccr sub-encoding to TS1/0 on input line 355. -Package textcomp Info: Setting ptm sub-encoding to TS1/4 on input line 356. -Package textcomp Info: Setting pcr sub-encoding to TS1/4 on input line 357. -Package textcomp Info: Setting phv sub-encoding to TS1/4 on input line 358. -Package textcomp Info: Setting ppl sub-encoding to TS1/3 on input line 359. -Package textcomp Info: Setting pag sub-encoding to TS1/4 on input line 360. -Package textcomp Info: Setting pbk sub-encoding to TS1/4 on input line 361. -Package textcomp Info: Setting pnc sub-encoding to TS1/4 on input line 362. -Package textcomp Info: Setting pzc sub-encoding to TS1/4 on input line 363. -Package textcomp Info: Setting bch sub-encoding to TS1/4 on input line 364. -Package textcomp Info: Setting put sub-encoding to TS1/5 on input line 365. -Package textcomp Info: Setting uag sub-encoding to TS1/5 on input line 366. -Package textcomp Info: Setting ugq sub-encoding to TS1/5 on input line 367. -Package textcomp Info: Setting ul8 sub-encoding to TS1/4 on input line 368. -Package textcomp Info: Setting ul9 sub-encoding to TS1/4 on input line 369. -Package textcomp Info: Setting augie sub-encoding to TS1/5 on input line 370. -Package textcomp Info: Setting dayrom sub-encoding to TS1/3 on input line 371. -Package textcomp Info: Setting dayroms sub-encoding to TS1/3 on input line 372. - -Package textcomp Info: Setting pxr sub-encoding to TS1/0 on input line 373. -Package textcomp Info: Setting pxss sub-encoding to TS1/0 on input line 374. -Package textcomp Info: Setting pxtt sub-encoding to TS1/0 on input line 375. -Package textcomp Info: Setting txr sub-encoding to TS1/0 on input line 376. -Package textcomp Info: Setting txss sub-encoding to TS1/0 on input line 377. -Package textcomp Info: Setting txtt sub-encoding to TS1/0 on input line 378. -Package textcomp Info: Setting lmr sub-encoding to TS1/0 on input line 379. -Package textcomp Info: Setting lmdh sub-encoding to TS1/0 on input line 380. -Package textcomp Info: Setting lmss sub-encoding to TS1/0 on input line 381. -Package textcomp Info: Setting lmssq sub-encoding to TS1/0 on input line 382. -Package textcomp Info: Setting lmvtt sub-encoding to TS1/0 on input line 383. -Package textcomp Info: Setting lmtt sub-encoding to TS1/0 on input line 384. -Package textcomp Info: Setting qhv sub-encoding to TS1/0 on input line 385. -Package textcomp Info: Setting qag sub-encoding to TS1/0 on input line 386. -Package textcomp Info: Setting qbk sub-encoding to TS1/0 on input line 387. -Package textcomp Info: Setting qcr sub-encoding to TS1/0 on input line 388. -Package textcomp Info: Setting qcs sub-encoding to TS1/0 on input line 389. -Package textcomp Info: Setting qpl sub-encoding to TS1/0 on input line 390. -Package textcomp Info: Setting qtm sub-encoding to TS1/0 on input line 391. -Package textcomp Info: Setting qzc sub-encoding to TS1/0 on input line 392. -Package textcomp Info: Setting qhvc sub-encoding to TS1/0 on input line 393. -Package textcomp Info: Setting futs sub-encoding to TS1/4 on input line 394. -Package textcomp Info: Setting futx sub-encoding to TS1/4 on input line 395. -Package textcomp Info: Setting futj sub-encoding to TS1/4 on input line 396. -Package textcomp Info: Setting hlh sub-encoding to TS1/3 on input line 397. -Package textcomp Info: Setting hls sub-encoding to TS1/3 on input line 398. -Package textcomp Info: Setting hlst sub-encoding to TS1/3 on input line 399. -Package textcomp Info: Setting hlct sub-encoding to TS1/5 on input line 400. -Package textcomp Info: Setting hlx sub-encoding to TS1/5 on input line 401. -Package textcomp Info: Setting hlce sub-encoding to TS1/5 on input line 402. -Package textcomp Info: Setting hlcn sub-encoding to TS1/5 on input line 403. -Package textcomp Info: Setting hlcw sub-encoding to TS1/5 on input line 404. -Package textcomp Info: Setting hlcf sub-encoding to TS1/5 on input line 405. -Package textcomp Info: Setting pplx sub-encoding to TS1/3 on input line 406. -Package textcomp Info: Setting pplj sub-encoding to TS1/3 on input line 407. -Package textcomp Info: Setting ptmx sub-encoding to TS1/4 on input line 408. -Package textcomp Info: Setting ptmj sub-encoding to TS1/4 on input line 409. -) -Babel -LaTeX Font Info: Try loading font information for T1+ntxtlf on input line 25 -0. -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/t1ntxtlf.fd -File: t1ntxtlf.fd 2015/01/17 v1.0 font definition file for T1/ntx/tlf -) -LaTeX Font Info: Font shape `T1/ntxtlf/m/n' will be -(Font) scaled to size 10.0pt on input line 250. -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/newtxmath.sty -Package: newtxmath 2016/03/27 v1.466 - -`newtxmath' v1.466, 2016/03/27 Math macros based on txfonts (msharpe) -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsmath/amsmath.sty -Package: amsmath 2016/06/28 v2.15d AMS math features -\@mathmargin=\skip43 - -For additional information on amsmath, use the `?' option. -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsmath/amstext.sty -Package: amstext 2000/06/29 v2.01 AMS text - -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsmath/amsgen.sty -File: amsgen.sty 1999/11/30 v2.0 generic functions -\@emptytoks=\toks16 -\ex@=\dimen105 -)) -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsmath/amsbsy.sty -Package: amsbsy 1999/11/29 v1.2d Bold Symbols -\pmbraise@=\dimen106 -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsmath/amsopn.sty -Package: amsopn 2016/03/08 v2.02 operator names -) -\inf@bad=\count89 -LaTeX Info: Redefining \frac on input line 199. -\uproot@=\count90 -\leftroot@=\count91 -LaTeX Info: Redefining \overline on input line 297. -\classnum@=\count92 -\DOTSCASE@=\count93 -LaTeX Info: Redefining \ldots on input line 394. -LaTeX Info: Redefining \dots on input line 397. -LaTeX Info: Redefining \cdots on input line 518. -\Mathstrutbox@=\box26 -\strutbox@=\box27 -\big@size=\dimen107 -LaTeX Font Info: Redeclaring font encoding OML on input line 634. -LaTeX Font Info: Redeclaring font encoding OMS on input line 635. -\macc@depth=\count94 -\c@MaxMatrixCols=\count95 -\dotsspace@=\muskip10 -\c@parentequation=\count96 -\dspbrk@lvl=\count97 -\tag@help=\toks17 -\row@=\count98 -\column@=\count99 -\maxfields@=\count100 -\andhelp@=\toks18 -\eqnshift@=\dimen108 -\alignsep@=\dimen109 -\tagshift@=\dimen110 -\tagwidth@=\dimen111 -\totwidth@=\dimen112 -\lineht@=\dimen113 -\@envbody=\toks19 -\multlinegap=\skip44 -\multlinetaggap=\skip45 -\mathdisplay@stack=\toks20 -LaTeX Info: Redefining \[ on input line 2739. -LaTeX Info: Redefining \] on input line 2740. -) -(/usr/local/texlive/2016/texmf-dist/tex/generic/ifxetex/ifxetex.sty -Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional -) -(/usr/local/texlive/2016/texmf-dist/tex/generic/oberdiek/ifluatex.sty -Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO) -Package ifluatex Info: LuaTeX not detected. -) -(/usr/local/texlive/2016/texmf-dist/tex/generic/kastrup/binhex.tex) -\tx@Isdigit=\count101 -LaTeX Font Info: Redeclaring symbol font `operators' on input line 137. -LaTeX Font Info: Overwriting symbol font `operators' in version `normal' -(Font) OT1/cmr/m/n --> OT1/ntxtlf/m/n on input line 137. -LaTeX Font Info: Overwriting symbol font `operators' in version `bold' -(Font) OT1/cmr/bx/n --> OT1/ntxtlf/m/n on input line 137. -LaTeX Font Info: Overwriting symbol font `operators' in version `bold' -(Font) OT1/ntxtlf/m/n --> OT1/ntxtlf/b/n on input line 138. -LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 144. -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' -(Font) OT1/cmss/m/n --> T1/qhv/m/n on input line 144. -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' -(Font) OT1/cmss/bx/n --> T1/qhv/m/n on input line 144. -LaTeX Font Info: Redeclaring math alphabet \mathit on input line 145. -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' -(Font) OT1/cmr/m/it --> OT1/ntxtlf/m/it on input line 145. -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' -(Font) OT1/cmr/bx/it --> OT1/ntxtlf/m/it on input line 145. -LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 146. -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' -(Font) OT1/cmtt/m/n --> T1/ntxtt/m/n on input line 146. -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' -(Font) OT1/cmtt/m/n --> T1/ntxtt/m/n on input line 146. -LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 148. -LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' -(Font) OT1/cmr/bx/n --> OT1/ntxtlf/b/n on input line 148. -LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' -(Font) OT1/cmr/bx/n --> OT1/ntxtlf/b/n on input line 148. -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' -(Font) OT1/ntxtlf/m/it --> OT1/ntxtlf/b/it on input line 149. -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' -(Font) T1/qhv/m/n --> T1/qhv/b/n on input line 150. -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' -(Font) T1/ntxtt/m/n --> T1/ntxtt/b/n on input line 151. -LaTeX Font Info: Redeclaring symbol font `letters' on input line 197. -LaTeX Font Info: Overwriting symbol font `letters' in version `normal' -(Font) OML/cmm/m/it --> OML/ntxmi/m/it on input line 197. -LaTeX Font Info: Overwriting symbol font `letters' in version `bold' -(Font) OML/cmm/b/it --> OML/ntxmi/m/it on input line 197. -LaTeX Font Info: Overwriting symbol font `letters' in version `bold' -(Font) OML/ntxmi/m/it --> OML/ntxmi/b/it on input line 198. -\symlettersA=\mathgroup4 -LaTeX Font Info: Overwriting symbol font `lettersA' in version `bold' -(Font) U/ntxmia/m/it --> U/ntxmia/b/it on input line 213. -LaTeX Font Info: Redeclaring symbol font `symbols' on input line 221. -LaTeX Font Info: Overwriting symbol font `symbols' in version `normal' -(Font) OMS/cmsy/m/n --> OMS/ntxsy/m/n on input line 221. -LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' -(Font) OMS/cmsy/b/n --> OMS/ntxsy/m/n on input line 221. -LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' -(Font) OMS/ntxsy/m/n --> OMS/ntxsy/b/n on input line 222. -\symAMSm=\mathgroup5 -LaTeX Font Info: Overwriting symbol font `AMSm' in version `bold' -(Font) U/ntxsym/m/n --> U/ntxsym/b/n on input line 242. -\symsymbolsC=\mathgroup6 -LaTeX Font Info: Overwriting symbol font `symbolsC' in version `bold' -(Font) U/ntxsyc/m/n --> U/ntxsyc/b/n on input line 263. -LaTeX Font Info: Redeclaring symbol font `largesymbols' on input line 276. -LaTeX Font Info: Encoding `OMX' has changed to `LMX' for symbol font -(Font) `largesymbols' in the math version `normal' on input line 2 -76. -LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal' -(Font) OMX/cmex/m/n --> LMX/ntxexx/m/n on input line 276. -LaTeX Font Info: Encoding `OMX' has changed to `LMX' for symbol font -(Font) `largesymbols' in the math version `bold' on input line 276 -. -LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' -(Font) OMX/cmex/m/n --> LMX/ntxexx/m/n on input line 276. -LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' -(Font) LMX/ntxexx/m/n --> LMX/ntxexx/b/n on input line 277. -\symlargesymbolsTXA=\mathgroup7 -LaTeX Font Info: Overwriting symbol font `largesymbolsTXA' in version `bold' - -(Font) U/ntxexa/m/n --> U/ntxexa/b/n on input line 291. -LaTeX Info: Redefining \not on input line 1749. -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/fontenc.sty -Package: fontenc 2016/06/19 v1.99m Standard LaTeX package - -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/t1enc.def -File: t1enc.def 2016/06/19 v1.99m Standard LaTeX file -LaTeX Font Info: Redeclaring font encoding T1 on input line 48. -)) -(/usr/local/texlive/2016/texmf-dist/tex/latex/ae/ae.sty -Package: ae 2001/02/12 1.3 Almost European Computer Modern - -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/fontenc.sty -Package: fontenc 2016/06/19 v1.99m Standard LaTeX package - -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/t1enc.def -File: t1enc.def 2016/06/19 v1.99m Standard LaTeX file -LaTeX Font Info: Redeclaring font encoding T1 on input line 48. -) -LaTeX Font Info: Try loading font information for T1+aer on input line 105. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/ae/t1aer.fd -File: t1aer.fd 1997/11/16 Font definitions for T1/aer. -))) -(/usr/local/texlive/2016/texmf-dist/tex/latex/ae/aecompl.sty -Package: aecompl 1998/07/23 0.9 T1 Complements for AE fonts (D. Roegel) -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/graphics/graphicx.sty -Package: graphicx 2014/10/28 v1.0g Enhanced LaTeX Graphics (DPC,SPQR) - -(/usr/local/texlive/2016/texmf-dist/tex/latex/graphics/graphics.sty -Package: graphics 2016/07/10 v1.0t Standard LaTeX Graphics (DPC,SPQR) - -(/usr/local/texlive/2016/texmf-dist/tex/latex/graphics/trig.sty -Package: trig 2016/01/03 v1.10 sin cos tan (DPC) -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/graphics-cfg/graphics.cfg -File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration -) -Package graphics Info: Driver file: pdftex.def on input line 99. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/graphics-def/pdftex.def -File: pdftex.def 2016/07/10 v0.06j Graphics/color for pdfTeX - -(/usr/local/texlive/2016/texmf-dist/tex/generic/oberdiek/infwarerr.sty -Package: infwarerr 2016/05/16 v1.4 Providing info/warning/error messages (HO) -) -(/usr/local/texlive/2016/texmf-dist/tex/generic/oberdiek/ltxcmds.sty -Package: ltxcmds 2016/05/16 v1.23 LaTeX kernel commands for general use (HO) -) -\Gread@gobject=\count102 -)) -\Gin@req@height=\dimen114 -\Gin@req@width=\dimen115 -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsfonts/amssymb.sty -Package: amssymb 2013/01/14 v3.01 AMS font symbols - -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsfonts/amsfonts.sty -Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support -\symAMSa=\mathgroup8 -\symAMSb=\mathgroup9 -LaTeX Font Info: Redeclaring math delimiter \ulcorner on input line 74. -LaTeX Font Info: Redeclaring math delimiter \urcorner on input line 75. -LaTeX Font Info: Redeclaring math delimiter \llcorner on input line 76. -LaTeX Font Info: Redeclaring math delimiter \lrcorner on input line 77. -LaTeX Font Info: Redeclaring math symbol \square on input line 141. -LaTeX Font Info: Redeclaring math symbol \lozenge on input line 142. -) -LaTeX Font Info: Redeclaring math symbol \boxdot on input line 44. -LaTeX Font Info: Redeclaring math symbol \boxplus on input line 45. -LaTeX Font Info: Redeclaring math symbol \boxtimes on input line 46. -LaTeX Font Info: Redeclaring math symbol \blacksquare on input line 48. -LaTeX Font Info: Redeclaring math symbol \centerdot on input line 49. -LaTeX Font Info: Redeclaring math symbol \blacklozenge on input line 51. -LaTeX Font Info: Redeclaring math symbol \circlearrowright on input line 52. - -LaTeX Font Info: Redeclaring math symbol \circlearrowleft on input line 53. -LaTeX Font Info: Redeclaring math symbol \leftrightharpoons on input line 56 -. -LaTeX Font Info: Redeclaring math symbol \boxminus on input line 57. -LaTeX Font Info: Redeclaring math symbol \Vdash on input line 58. -LaTeX Font Info: Redeclaring math symbol \Vvdash on input line 59. -LaTeX Font Info: Redeclaring math symbol \vDash on input line 60. -LaTeX Font Info: Redeclaring math symbol \twoheadrightarrow on input line 61 -. -LaTeX Font Info: Redeclaring math symbol \twoheadleftarrow on input line 62. - -LaTeX Font Info: Redeclaring math symbol \leftleftarrows on input line 63. -LaTeX Font Info: Redeclaring math symbol \rightrightarrows on input line 64. - -LaTeX Font Info: Redeclaring math symbol \upuparrows on input line 65. -LaTeX Font Info: Redeclaring math symbol \downdownarrows on input line 66. -LaTeX Font Info: Redeclaring math symbol \upharpoonright on input line 67. -LaTeX Font Info: Redeclaring math symbol \downharpoonright on input line 69. - -LaTeX Font Info: Redeclaring math symbol \upharpoonleft on input line 70. -LaTeX Font Info: Redeclaring math symbol \downharpoonleft on input line 71. -LaTeX Font Info: Redeclaring math symbol \rightarrowtail on input line 72. -LaTeX Font Info: Redeclaring math symbol \leftarrowtail on input line 73. -LaTeX Font Info: Redeclaring math symbol \leftrightarrows on input line 74. -LaTeX Font Info: Redeclaring math symbol \rightleftarrows on input line 75. -LaTeX Font Info: Redeclaring math symbol \Lsh on input line 76. -LaTeX Font Info: Redeclaring math symbol \Rsh on input line 77. -LaTeX Font Info: Redeclaring math symbol \leftrightsquigarrow on input line -79. -LaTeX Font Info: Redeclaring math symbol \looparrowleft on input line 80. -LaTeX Font Info: Redeclaring math symbol \looparrowright on input line 81. -LaTeX Font Info: Redeclaring math symbol \circeq on input line 82. -LaTeX Font Info: Redeclaring math symbol \succsim on input line 83. -LaTeX Font Info: Redeclaring math symbol \gtrsim on input line 84. -LaTeX Font Info: Redeclaring math symbol \gtrapprox on input line 85. -LaTeX Font Info: Redeclaring math symbol \multimap on input line 86. -LaTeX Font Info: Redeclaring math symbol \therefore on input line 87. -LaTeX Font Info: Redeclaring math symbol \because on input line 88. -LaTeX Font Info: Redeclaring math symbol \doteqdot on input line 89. -LaTeX Font Info: Redeclaring math symbol \triangleq on input line 91. -LaTeX Font Info: Redeclaring math symbol \precsim on input line 92. -LaTeX Font Info: Redeclaring math symbol \lesssim on input line 93. -LaTeX Font Info: Redeclaring math symbol \lessapprox on input line 94. -LaTeX Font Info: Redeclaring math symbol \eqslantless on input line 95. -LaTeX Font Info: Redeclaring math symbol \eqslantgtr on input line 96. -LaTeX Font Info: Redeclaring math symbol \curlyeqprec on input line 97. -LaTeX Font Info: Redeclaring math symbol \curlyeqsucc on input line 98. -LaTeX Font Info: Redeclaring math symbol \preccurlyeq on input line 99. -LaTeX Font Info: Redeclaring math symbol \leqq on input line 100. -LaTeX Font Info: Redeclaring math symbol \leqslant on input line 101. -LaTeX Font Info: Redeclaring math symbol \lessgtr on input line 102. -LaTeX Font Info: Redeclaring math symbol \backprime on input line 103. -LaTeX Font Info: Redeclaring math symbol \risingdotseq on input line 104. -LaTeX Font Info: Redeclaring math symbol \fallingdotseq on input line 105. -LaTeX Font Info: Redeclaring math symbol \succcurlyeq on input line 106. -LaTeX Font Info: Redeclaring math symbol \geqq on input line 107. -LaTeX Font Info: Redeclaring math symbol \geqslant on input line 108. -LaTeX Font Info: Redeclaring math symbol \gtrless on input line 109. -LaTeX Font Info: Redeclaring math symbol \bigstar on input line 117. -LaTeX Font Info: Redeclaring math symbol \between on input line 118. -LaTeX Font Info: Redeclaring math symbol \blacktriangledown on input line 11 -9. -LaTeX Font Info: Redeclaring math symbol \blacktriangleright on input line 1 -20. -LaTeX Font Info: Redeclaring math symbol \blacktriangleleft on input line 12 -1. -LaTeX Font Info: Redeclaring math symbol \vartriangle on input line 122. -LaTeX Font Info: Redeclaring math symbol \blacktriangle on input line 123. -LaTeX Font Info: Redeclaring math symbol \triangledown on input line 124. -LaTeX Font Info: Redeclaring math symbol \eqcirc on input line 125. -LaTeX Font Info: Redeclaring math symbol \lesseqgtr on input line 126. -LaTeX Font Info: Redeclaring math symbol \gtreqless on input line 127. -LaTeX Font Info: Redeclaring math symbol \lesseqqgtr on input line 128. -LaTeX Font Info: Redeclaring math symbol \gtreqqless on input line 129. -LaTeX Font Info: Redeclaring math symbol \Rrightarrow on input line 130. -LaTeX Font Info: Redeclaring math symbol \Lleftarrow on input line 131. -LaTeX Font Info: Redeclaring math symbol \veebar on input line 132. -LaTeX Font Info: Redeclaring math symbol \barwedge on input line 133. -LaTeX Font Info: Redeclaring math symbol \doublebarwedge on input line 134. -LaTeX Font Info: Redeclaring math symbol \measuredangle on input line 137. -LaTeX Font Info: Redeclaring math symbol \sphericalangle on input line 138. -LaTeX Font Info: Redeclaring math symbol \varpropto on input line 139. -LaTeX Font Info: Redeclaring math symbol \smallsmile on input line 140. -LaTeX Font Info: Redeclaring math symbol \smallfrown on input line 141. -LaTeX Font Info: Redeclaring math symbol \Subset on input line 142. -LaTeX Font Info: Redeclaring math symbol \Supset on input line 143. -LaTeX Font Info: Redeclaring math symbol \Cup on input line 144. -LaTeX Font Info: Redeclaring math symbol \Cap on input line 146. -LaTeX Font Info: Redeclaring math symbol \curlywedge on input line 148. -LaTeX Font Info: Redeclaring math symbol \curlyvee on input line 149. -LaTeX Font Info: Redeclaring math symbol \leftthreetimes on input line 150. -LaTeX Font Info: Redeclaring math symbol \rightthreetimes on input line 151. - -LaTeX Font Info: Redeclaring math symbol \subseteqq on input line 152. -LaTeX Font Info: Redeclaring math symbol \supseteqq on input line 153. -LaTeX Font Info: Redeclaring math symbol \bumpeq on input line 154. -LaTeX Font Info: Redeclaring math symbol \Bumpeq on input line 155. -LaTeX Font Info: Redeclaring math symbol \lll on input line 156. -LaTeX Font Info: Redeclaring math symbol \ggg on input line 158. -LaTeX Font Info: Redeclaring math symbol \circledS on input line 160. -LaTeX Font Info: Redeclaring math symbol \pitchfork on input line 161. -LaTeX Font Info: Redeclaring math symbol \dotplus on input line 162. -LaTeX Font Info: Redeclaring math symbol \backsim on input line 163. -LaTeX Font Info: Redeclaring math symbol \backsimeq on input line 164. -LaTeX Font Info: Redeclaring math symbol \complement on input line 165. -LaTeX Font Info: Redeclaring math symbol \intercal on input line 166. -LaTeX Font Info: Redeclaring math symbol \circledcirc on input line 167. -LaTeX Font Info: Redeclaring math symbol \circledast on input line 168. -LaTeX Font Info: Redeclaring math symbol \circleddash on input line 169. -LaTeX Font Info: Redeclaring math symbol \lvertneqq on input line 171. -LaTeX Font Info: Redeclaring math symbol \gvertneqq on input line 172. -LaTeX Font Info: Redeclaring math symbol \nleq on input line 173. -LaTeX Font Info: Redeclaring math symbol \ngeq on input line 174. -LaTeX Font Info: Redeclaring math symbol \nless on input line 175. -LaTeX Font Info: Redeclaring math symbol \ngtr on input line 176. -LaTeX Font Info: Redeclaring math symbol \nprec on input line 177. -LaTeX Font Info: Redeclaring math symbol \nsucc on input line 178. -LaTeX Font Info: Redeclaring math symbol \lneqq on input line 179. -LaTeX Font Info: Redeclaring math symbol \gneqq on input line 180. -LaTeX Font Info: Redeclaring math symbol \nleqslant on input line 181. -LaTeX Font Info: Redeclaring math symbol \ngeqslant on input line 182. -LaTeX Font Info: Redeclaring math symbol \lneq on input line 183. -LaTeX Font Info: Redeclaring math symbol \gneq on input line 184. -LaTeX Font Info: Redeclaring math symbol \npreceq on input line 185. -LaTeX Font Info: Redeclaring math symbol \nsucceq on input line 186. -LaTeX Font Info: Redeclaring math symbol \precnsim on input line 187. -LaTeX Font Info: Redeclaring math symbol \succnsim on input line 188. -LaTeX Font Info: Redeclaring math symbol \lnsim on input line 189. -LaTeX Font Info: Redeclaring math symbol \gnsim on input line 190. -LaTeX Font Info: Redeclaring math symbol \nleqq on input line 191. -LaTeX Font Info: Redeclaring math symbol \ngeqq on input line 192. -LaTeX Font Info: Redeclaring math symbol \precneqq on input line 193. -LaTeX Font Info: Redeclaring math symbol \succneqq on input line 194. -LaTeX Font Info: Redeclaring math symbol \precnapprox on input line 195. -LaTeX Font Info: Redeclaring math symbol \succnapprox on input line 196. -LaTeX Font Info: Redeclaring math symbol \lnapprox on input line 197. -LaTeX Font Info: Redeclaring math symbol \gnapprox on input line 198. -LaTeX Font Info: Redeclaring math symbol \nsim on input line 199. -LaTeX Font Info: Redeclaring math symbol \ncong on input line 200. -LaTeX Font Info: Redeclaring math symbol \diagup on input line 201. -LaTeX Font Info: Redeclaring math symbol \diagdown on input line 202. -LaTeX Font Info: Redeclaring math symbol \varsubsetneq on input line 203. -LaTeX Font Info: Redeclaring math symbol \varsupsetneq on input line 204. -LaTeX Font Info: Redeclaring math symbol \nsubseteqq on input line 205. -LaTeX Font Info: Redeclaring math symbol \nsupseteqq on input line 206. -LaTeX Font Info: Redeclaring math symbol \subsetneqq on input line 207. -LaTeX Font Info: Redeclaring math symbol \supsetneqq on input line 208. -LaTeX Font Info: Redeclaring math symbol \varsubsetneqq on input line 209. -LaTeX Font Info: Redeclaring math symbol \varsupsetneqq on input line 210. -LaTeX Font Info: Redeclaring math symbol \subsetneq on input line 211. -LaTeX Font Info: Redeclaring math symbol \supsetneq on input line 212. -LaTeX Font Info: Redeclaring math symbol \nsubseteq on input line 213. -LaTeX Font Info: Redeclaring math symbol \nsupseteq on input line 214. -LaTeX Font Info: Redeclaring math symbol \nparallel on input line 215. -LaTeX Font Info: Redeclaring math symbol \nmid on input line 216. -LaTeX Font Info: Redeclaring math symbol \nshortmid on input line 217. -LaTeX Font Info: Redeclaring math symbol \nshortparallel on input line 218. -LaTeX Font Info: Redeclaring math symbol \nvdash on input line 219. -LaTeX Font Info: Redeclaring math symbol \nVdash on input line 220. -LaTeX Font Info: Redeclaring math symbol \nvDash on input line 221. -LaTeX Font Info: Redeclaring math symbol \nVDash on input line 222. -LaTeX Font Info: Redeclaring math symbol \ntrianglerighteq on input line 223 -. -LaTeX Font Info: Redeclaring math symbol \ntrianglelefteq on input line 224. - -LaTeX Font Info: Redeclaring math symbol \ntriangleleft on input line 225. -LaTeX Font Info: Redeclaring math symbol \ntriangleright on input line 226. -LaTeX Font Info: Redeclaring math symbol \nleftarrow on input line 227. -LaTeX Font Info: Redeclaring math symbol \nrightarrow on input line 228. -LaTeX Font Info: Redeclaring math symbol \nLeftarrow on input line 229. -LaTeX Font Info: Redeclaring math symbol \nRightarrow on input line 230. -LaTeX Font Info: Redeclaring math symbol \nLeftrightarrow on input line 231. - -LaTeX Font Info: Redeclaring math symbol \nleftrightarrow on input line 232. - -LaTeX Font Info: Redeclaring math symbol \divideontimes on input line 233. -LaTeX Font Info: Redeclaring math symbol \varnothing on input line 234. -LaTeX Font Info: Redeclaring math symbol \nexists on input line 235. -LaTeX Font Info: Redeclaring math symbol \Finv on input line 236. -LaTeX Font Info: Redeclaring math symbol \Game on input line 237. -LaTeX Font Info: Redeclaring math symbol \eth on input line 240. -LaTeX Font Info: Redeclaring math symbol \eqsim on input line 241. -LaTeX Font Info: Redeclaring math symbol \beth on input line 242. -LaTeX Font Info: Redeclaring math symbol \gimel on input line 243. -LaTeX Font Info: Redeclaring math symbol \daleth on input line 244. -LaTeX Font Info: Redeclaring math symbol \lessdot on input line 245. -LaTeX Font Info: Redeclaring math symbol \gtrdot on input line 246. -LaTeX Font Info: Redeclaring math symbol \ltimes on input line 247. -LaTeX Font Info: Redeclaring math symbol \rtimes on input line 248. -LaTeX Font Info: Redeclaring math symbol \shortmid on input line 249. -LaTeX Font Info: Redeclaring math symbol \shortparallel on input line 250. -LaTeX Font Info: Redeclaring math symbol \smallsetminus on input line 251. -LaTeX Font Info: Redeclaring math symbol \thicksim on input line 252. -LaTeX Font Info: Redeclaring math symbol \thickapprox on input line 253. -LaTeX Font Info: Redeclaring math symbol \approxeq on input line 254. -LaTeX Font Info: Redeclaring math symbol \succapprox on input line 255. -LaTeX Font Info: Redeclaring math symbol \precapprox on input line 256. -LaTeX Font Info: Redeclaring math symbol \curvearrowleft on input line 257. -LaTeX Font Info: Redeclaring math symbol \curvearrowright on input line 258. - -LaTeX Font Info: Redeclaring math symbol \digamma on input line 259. -LaTeX Font Info: Redeclaring math symbol \varkappa on input line 260. -LaTeX Font Info: Redeclaring math symbol \Bbbk on input line 261. -LaTeX Font Info: Redeclaring math symbol \hslash on input line 262. -LaTeX Font Info: Redeclaring math symbol \backepsilon on input line 265. -) - -LaTeX Warning: Unused global option(s): - [usenatbib]. - -(./report.aux) -\openout1 = `report.aux'. - -LaTeX Font Info: Checking defaults for OML/ntxmi/m/it on input line 48. -LaTeX Font Info: Try loading font information for OML+ntxmi on input line 48 -. - (/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/omlntxmi.fd -File: omlntxmi.fd 2015/08/25 Fontinst v1.933 font definitions for OML/ntxmi. -) -LaTeX Font Info: ... okay on input line 48. -LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 48. -LaTeX Font Info: ... okay on input line 48. -LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 48. -LaTeX Font Info: ... okay on input line 48. -LaTeX Font Info: Checking defaults for OMS/ntxsy/m/n on input line 48. -LaTeX Font Info: Try loading font information for OMS+ntxsy on input line 48 -. -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/omsntxsy.fd -File: omsntxsy.fd 2012/11/14 Fontinst v1.933 font definitions for OMS/ntxsy. -) -LaTeX Font Info: ... okay on input line 48. -LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 48. -LaTeX Font Info: ... okay on input line 48. -LaTeX Font Info: Checking defaults for U/ntxexa/m/n on input line 48. -LaTeX Font Info: Try loading font information for U+ntxexa on input line 48. - - -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/untxexa.fd -File: untxexa.fd 2012/04/16 Fontinst v1.933 font definitions for U/ntxexa. -) -LaTeX Font Info: ... okay on input line 48. -LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 48. -LaTeX Font Info: Try loading font information for TS1+cmr on input line 48. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/base/ts1cmr.fd -File: ts1cmr.fd 2014/09/29 v2.5h Standard LaTeX font definitions -) -LaTeX Font Info: ... okay on input line 48. -LaTeX Font Info: Checking defaults for LMX/ntxexx/m/n on input line 48. -LaTeX Font Info: ... okay on input line 48. -\c@mv@tabular=\count103 -\c@mv@boldtabular=\count104 - -(/usr/local/texlive/2016/texmf-dist/tex/context/base/mkii/supp-pdf.mkii -[Loading MPS to PDF converter (version 2006.09.02).] -\scratchcounter=\count105 -\scratchdimen=\dimen116 -\scratchbox=\box28 -\nofMPsegments=\count106 -\nofMParguments=\count107 -\everyMPshowfont=\toks21 -\MPscratchCnt=\count108 -\MPscratchDim=\dimen117 -\MPnumerator=\count109 -\makeMPintoPDFobject=\count110 -\everyMPtoPDFconversion=\toks22 -) (/usr/local/texlive/2016/texmf-dist/tex/generic/oberdiek/pdftexcmds.sty -Package: pdftexcmds 2016/05/21 v0.22 Utility functions of pdfTeX for LuaTeX (HO -) - -(/usr/local/texlive/2016/texmf-dist/tex/generic/oberdiek/ifpdf.sty -Package: ifpdf 2016/05/14 v3.1 Provides the ifpdf switch -) -Package pdftexcmds Info: LuaTeX not detected. -Package pdftexcmds Info: \pdf@primitive is available. -Package pdftexcmds Info: \pdf@ifprimitive is available. -Package pdftexcmds Info: \pdfdraftmode found. -) -(/usr/local/texlive/2016/texmf-dist/tex/latex/oberdiek/epstopdf-base.sty -Package: epstopdf-base 2016/05/15 v2.6 Base part for package epstopdf - -(/usr/local/texlive/2016/texmf-dist/tex/latex/oberdiek/grfext.sty -Package: grfext 2016/05/16 v1.2 Manage graphics extensions (HO) - -(/usr/local/texlive/2016/texmf-dist/tex/generic/oberdiek/kvdefinekeys.sty -Package: kvdefinekeys 2016/05/16 v1.4 Define keys (HO) -)) -(/usr/local/texlive/2016/texmf-dist/tex/latex/oberdiek/kvoptions.sty -Package: kvoptions 2016/05/16 v3.12 Key value format for package options (HO) - -(/usr/local/texlive/2016/texmf-dist/tex/generic/oberdiek/kvsetkeys.sty -Package: kvsetkeys 2016/05/16 v1.17 Key value parser (HO) - -(/usr/local/texlive/2016/texmf-dist/tex/generic/oberdiek/etexcmds.sty -Package: etexcmds 2016/05/16 v1.6 Avoid name clashes with e-TeX commands (HO) -Package etexcmds Info: Could not find \expanded. -(etexcmds) That can mean that you are not using pdfTeX 1.50 or -(etexcmds) that some package has redefined \expanded. -(etexcmds) In the latter case, load this package earlier. -))) -Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 -38. -Package grfext Info: Graphics extension search list: -(grfext) [.png,.pdf,.jpg,.mps,.jpeg,.jbig2,.jb2,.PNG,.PDF,.JPG,.JPE -G,.JBIG2,.JB2,.eps] -(grfext) \AppendGraphicsExtensions on input line 456. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg -File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv -e -)) -LaTeX Font Info: Try loading font information for OT1+ntxtlf on input line 6 -9. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/ot1ntxtlf.fd -File: ot1ntxtlf.fd 2015/01/17 v1.0 font definition file for OT1/ntx/tlf -) -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 10.0pt on input line 69. -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 7.3pt on input line 69. -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 5.5pt on input line 69. -LaTeX Font Info: Try loading font information for U+ntxmia on input line 69. - - -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/untxmia.fd -File: untxmia.fd 2012/04/16 Fontinst v1.933 font definitions for U/ntxmia. -) -LaTeX Font Info: Try loading font information for U+ntxsym on input line 69. - - -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/untxsym.fd -File: untxsym.fd 2015/03/20 Fontinst v1.933 font definitions for U/ntxsym. -) -LaTeX Font Info: Try loading font information for U+ntxsyc on input line 69. - - -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/untxsyc.fd -File: untxsyc.fd 2012/04/12 Fontinst v1.933 font definitions for U/ntxsyc. -) -LaTeX Font Info: Try loading font information for U+msa on input line 69. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsfonts/umsa.fd -File: umsa.fd 2013/01/14 v3.01 AMS symbols A -) -LaTeX Font Info: Try loading font information for U+msb on input line 69. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/amsfonts/umsb.fd -File: umsb.fd 2013/01/14 v3.01 AMS symbols B -) -LaTeX Font Info: Try loading font information for T1+ntxsups on input line 6 -9. - -(/usr/local/texlive/2016/texmf-dist/tex/latex/newtx/t1ntxsups.fd -File: t1ntxsups.fd 2015/01/17 v1.0 -) -LaTeX Font Info: Font shape `T1/ntxsups/m/n' will be -(Font) scaled to size 10.0pt on input line 69. - -Underfull \hbox (badness 10000) in paragraph at lines 68--78 - - [] - -[1 - -{/usr/local/texlive/2016/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 12.0pt on input line 89. -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 8.8pt on input line 89. -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 6.6pt on input line 89. -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 8.0pt on input line 89. -LaTeX Font Info: Font shape `OT1/ntxtlf/m/n' will be -(Font) scaled to size 6.2pt on input line 89. -LaTeX Font Info: Try loading font information for TS1+aer on inp \ No newline at end of file diff --git a/press/report/report.out b/press/report/report.out deleted file mode 100644 index 327d0c2..0000000 --- a/press/report/report.out +++ /dev/null @@ -1,9 +0,0 @@ -\BOOKMARK [1][-]{section.1}{Introduction}{}% 1 -\BOOKMARK [2][-]{subsection.1.1}{Reverberation Mapping}{section.1}% 2 -\BOOKMARK [2][-]{subsection.1.2}{Unevenly-Spaced Data}{section.1}% 3 -\BOOKMARK [1][-]{section.2}{Analysis}{}% 4 -\BOOKMARK [2][-]{subsection.2.1}{Dataset}{section.2}% 5 -\BOOKMARK [2][-]{subsection.2.2}{Error Analysis}{section.2}% 6 -\BOOKMARK [1][-]{section.3}{Results}{}% 7 -\BOOKMARK [2][-]{subsection.3.1}{Dubious Error Computations}{section.3}% 8 -\BOOKMARK [1][-]{section.4}{Discussion}{}% 9 diff --git a/press/report/report.tex b/press/report/report.tex index 660ec3d..f8fa776 100644 --- a/press/report/report.tex +++ b/press/report/report.tex @@ -1,320 +1,232 @@ -% mnras_template.tex -% -% LaTeX template for creating an MNRAS paper -% -% v3.0 released 14 May 2015 -% (version numbers match those of mnras.cls) -% -% Copyright (C) Royal Astronomical Society 2015 -% Authors: -% Keith T. Smith (Royal Astronomical Society) - -% Change log -% -% v3.0 May 2015 -% Renamed to match the new package name -% Version number matches mnras.cls -% A few minor tweaks to wording -% v1.0 September 2013 -% Beta testing only - never publicly released -% First version: a simple (ish) template for creating an MNRAS paper - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Basic setup. Most papers should leave these options alone. -\documentclass[a4paper,fleqn,usenatbib]{article} - -% MNRAS is set in Times font. If you don't have this installed (most LaTeX -% installations will be fine) or prefer the old Computer Modern fonts, comment -% out the following line -\usepackage{newtxtext,newtxmath} -% Depending on your LaTeX fonts installation, you might get better results -% with one of these: -%\usepackage{mathptmx} -%\usepackage{txfonts} - -% Use vector fonts, so it zooms properly in on-screen viewing software -% Don't change these lines unless you know what you are doing -\usepackage[T1]{fontenc} -\usepackage{ae,aecompl} - - -%%%%% AUTHORS - PLACE YOUR OWN PACKAGES HERE %%%%% - -% Only include extra packages if you really need them. Common packages are: -\usepackage{graphicx} % Including figure files -\usepackage{amsmath} % Advanced maths commands -\usepackage{amssymb} % Extra maths symbols - -\begin{document} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%%%%% AUTHORS - PLACE YOUR OWN COMMANDS HERE %%%%% - -% Please keep new commands to a minimum, and use \newcommand not \def to avoid -% overwriting existing commands. Example: -%\newcommand{\pcm}{\,cm$^{-2}$} % per cm-squared - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%%%%%%%%%%%%%%%%%%% TITLE PAGE %%%%%%%%%%%%%%%%%%% - -% Title of the paper, and the short title which is used in the headers. -% Keep the title short and informative. -\title[Optical Reverberation with Max Likelihood; NGC 5548]{Optical -Reverberation Mapping of NGC 5548 with Maximum Likelihood} - -% The list of authors, and the short list which is used in the headers. -% If you need two or more lines of authors, add an extra line using \newauthor -\author[Ulrich et al.]{ -Otho A. Ulrich,$^{2}$\thanks{E-mail: otho.a.ulrich@wmich.edu} -Edward M. Cackett,$^{1}$ -\\ -% List of institutions -$^{1}$Department of Physics and Astronomy, Wayne State University, 666 W. -Hancock St., Detroit, MI 48201, USA\\ -$^{2}$Department of Physics, Western Michigan University, Kalamazoo, MI -49008-5252, USA\\ -} - -% These dates will be filled out by the publisher -%\date{Accepted XXX. Received YYY; in original form ZZZ} -\date{August 8, 2016} - -% Enter the current year, for the copyright statements etc. -% \pubyear{2016} - -% Don't change these lines -\label{firstpage} -%\pagerange{\pageref{firstpage}--\pageref{lastpage}} -\maketitle - -% Abstract of the paper -\begin{abstract} -Power spectral densities and time delays of 19 wavelength bands are recovered -as part of a reverberation mapping of NGC 5548. The latest time-variable light -curves are made available in STORM III by \cite{2016ApJ...821...56F}. The -uneven distribution of flux data in those curves necessitates the use of a -maximum likelihood method in conjunction with Fourier transformations to -produce the frequency-dependent values of interest. Variability in the -emissions is confirmed in the power spectral densities, and the time delays -show the expected frequency dependence. The time delays also appear to have -wavelength dependence. There are issues computing accurate error estimates for -both distributions that remain as yet unresolved. The transfer function should -be recoverable once those and any additional computational issues are -resolved. -\end{abstract} - -% Select between one and six entries from the list of approved keywords. -% Don't make up new ones. -\begin{keywords} -keyword1 -- keyword2 -- keyword3 -\end{keywords} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%%%%%%%%%%%%%%%%% BODY OF PAPER %%%%%%%%%%%%%%%%%% - -\section{Introduction} -The local Type-I Seyfert galaxy NGC 5548, while perhaps the best-studied -active galaxy, remains an object of intense interest and study to modern -astronomy. An extensive observational campaign has been carried out on this -object, producing the most complete set of time-dependent light curves yet -collected from an active galactic nucleus (AGN). The physics underlying the -nature of these light curves is not completely understood, and so remains a -topic of debate and great interest. - - \subsection{Reverberation Mapping} - A primary model of AGN suggests that an accretion disk is incident upon a - central super-massive black hole (SMBH). Electromagnetic emission emergent - from the accreting gases close to the SMBH is reprocessed by the - surrounding gas clouds, resulting in observed response delays between - emission peaks that are dependent on the geometry of the system. The - impulse response encodes this geometry, and astronomers have combined - models for the orbiting gas velocities and ionization states with these - observed time delays to calculate it for some known systems. This - technique has become a standard for calculating the black hole mass of - AGN, and is well-described by \cite{2007MNRAS.380..669C} and - \cite{2014A&ARv..22...72U}. It continues to be refined, and may also - become a tool to measure the black hole spin of these systems - \citep{2016arXiv160606736K}. - - (Probably would be good to put a picture here describing simple - reverberation.) - - Many reverberation mapping techniques involve time-domain analyses, such - as cross-correlation. Time-domain techniques have limitations: - cross-correlation, for instance, provides only the average time delay - between two light curves; they also require data that is evenly-sampled - across the time domain. X-ray reverberation mapping in particular has - developed a body of techniques based on frequency-domain techniques, - primarily Fourier analysis; these techniques still require evenly-sampled - data and have been enabled by the relatively good data coverage in X-ray - bands. They provide the astronomer with more detailed information about - the variability and response delay within the system compared to - time-domain techniques. - - The power spectral density (PSD) as a function of temporal frequency for a - given emission band can be produced using Fourier transforms, providing a - measure of the time-scale of variability in that band. Given two bands, - typically a reference or "driving" band and a delayed or "response" band, - a cross spectrum can also be constructed. From the complex - argument of the cross-correlation function, one can derive the - frequency-dependent time delay between those bands; an important step - toward - constituting the transfer function of a system. Very good explanations of - these techniques and the associated mathematics are available from - \cite{2014A&ARv..22...72U}. - - A top-hat function provides a simple model of the impulse response of a - delayed light curve. A fast Fourier transform method of this impulse - response provides the time delay spectrum as a function of temporal - frequency. This simple model provides a guideline for how the computed - time delays are expected to be distributed as a function of temporal - frequency. - - - (Side-by-side graphic of top-hat impulse response function and FFT of - top-hat giving time delays.) - - \subsection{Unevenly-Spaced Data} - - Some X-ray datasets contain gaps due to orbital mechanics, which motivated - the work in \cite{2013ApJ...777...24Z}, where a maximum likelihood method - is used to perform Fourier analysis on light curves with gaps. Since its - development, this technique has found success among studies of - observations captured by low-orbit X-ray telescopes that exceed the - telescopes' orbital periods, such as the analysis performed by - \cite{2016arXiv160606736K}. Until now, reverberation mapping in the - optical bands has been limited to time-domain techniques. Many datasets - available for these bands have uneven sampling across the time domain, - however, and so do not lend themselves well to time-domain or traditional - frequency-domain analyses. The maximum likelihood method is well-suited - to extracting useful information from the data available in those - datasets. - - - -\section{Analysis} -The 1367\AA$ $ light curve, obtained from observations made with the Hubble -Space Telescope, is chosen as the reference curve. The power spectral -densities and time delays as a function of temporal frequency are computed for -each band in the dataset -- 18 bands not including the reference band. - -The light curves analysed here are unevenly distributed along the time axis, -which suggests that the maximum likelihood method developed by -\cite{2013ApJ...777...24Z} is a reasonable candidate for producing the PSD and -time delays in the frequency domain. The latest version (CHECK THIS) of the -C++ program psdlag associated with that work is used to directly produce the -PSD and cross spectra. The time delay spectrum is produced from the cross -spectrum by dividing it by $2 \pi f$, with $f$ the mean frequency for a given -bin. - - \subsection{Dataset} - \cite{2016ApJ...821...56F} published the best dynamic data yet collected - from NGC 5548 over a 200-day (CHECK THIS) period, for 19 bands throughout - the optical and into the UV spectra. These data were collected from a - variety of observatories, including both space and ground-based - telescopes, and thus have significantly variable sampling rates. - - (Include picture of Fausnaugh data here) - - \subsection{Error Analysis} - For the presented set of resultant data, the error estimates are extracted - from the covariance matrix. This method assumes that the errors between - frequency bins are not correlated, so these values only represent a lower - limit of the true variability. Scanning the likelihood function can - provide better error estimates at the cost of computation time, as can - running Monte Carlo simulations. All of these methods are built into the - psdlag program provided by \cite{2013ApJ...777...24Z}, however, some - issues have prevented proper error analysis using the latter two methods. - This is discussed in more detail in section \ref{results}. - -\section{Results} -\label{results} - - An atlas of the power spectral densities as functions - of temporal frequency for all 18 delayed bands is provided in this section. - One is also provided of the time delay spectra for each band. The reference - band PSD is also provided separately. Errors presented in these atlases - are obtained from the covariance matrix. - - (Atlas of PSD) - - (Atlas of Time Delays) - - \subsection{Dubious Error Computations} - The errors obtained from the covariance matrix are only a lower estimate - of the true error. An error analysis by scanning the likelihood function - was attempted, but dubious values led to their exclusion from these results. - In the case of - - (Example of bad LF error) - - Monte Carlo simulations were also attempted as a way of estimating the - variability of the resultant values. Many errors obtained from this method - were much larger than the expected accurate values. Therefore, this analysis - was also excluded. - - (Example of bad MC error) - - -\section{Discussion} -Frequency-dependent power spectral densities confirm time-dependent variability -in the emission strengths for each band. This behaviour is expected for -any active galactic nucleus and has been long-confirmed in NGC 5548, so -it comes as no surprise to find those results here. - -Analysis of the top-hat impulse response model predicted frequency-dependent -time delays, which have been recovered from the light curves in this analysis. -Furthermore, the distribution of time delays indicates a wavelength-dependent -nature. This warrants further study and analysis. - -(Maybe a graph comparing the top-hat time delays to one band's time delays.) - -The analyses performed on these data have elucidated clear trends in the PSD -and time delays. With reverberation mapping, the goal is to recover the transfer -function, which encodes the geometry of the system. Recovering the time delays -is a significant step toward that goal. - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%%%%%%%%%%%%%%%%%%%% REFERENCES %%%%%%%%%%%%%%%%%% - -% The best way to enter references is to use BibTeX: - -\bibliographystyle{mnras} -\bibliography{wsu_reu} % if your bibtex file is called example.bib - - -% Alternatively you could enter them by hand, like this: -% This method is tedious and prone to error if you have lots of references -% \begin{thebibliography}{99} -% \bibitem[\protect\citeauthoryear{Author}{2012}]{Author2012} -% Author A.~N., 2013, Journal of Improbable Astronomy, 1, 1 -% \bibitem[\protect\citeauthoryear{Others}{2013}]{Others2013} -% Others S., 2012, Journal of Interesting Stuff, 17, 198 -% \end{thebibliography} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%%%%%%%%%%%%%%%%% APPENDICES %%%%%%%%%%%%%%%%%%%%% - -% \appendix -% -% \section{Some extra material} -% -% If you want to present additional material which would interrupt the flow of -% the main paper, it can be placed in an Appendix which appears after the list -% of references. - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -% Don't change these lines -\bsp % typesetting comment -\label{lastpage} -\end{document} - -% End of mnras_template.tex \ No newline at end of file +\documentclass[11pt,letterpaper]{article} + +\usepackage{natbib} +\usepackage{graphicx} +\usepackage[margin=1.in,centering]{geometry} + +\begin{document} + +Consider two lightcurves $x(t)$ and $y(t)$, where $x(t)$ is the driving lightcurve and $y(t)$ is the reprocessed lightcurve. If they are related by a linear impulse response, $g(\tau)$, then: + + +\begin{abstract} +Power spectral densities and time delays of 19 wavelength bands are recovered +as part of a reverberation mapping of NGC 5548. The latest time-variable light +curves are made available in STORM III by \cite{2016ApJ...821...56F}. The +uneven distribution of flux data in those curves necessitates the use of a +maximum likelihood method in conjunction with Fourier transformations to +produce the frequency-dependent values of interest. Variability in the +emissions is confirmed in the power spectral densities, and the time delays +show the expected frequency dependence. The time delays also appear to have +wavelength dependence. There are issues computing accurate error estimates for +both distributions that remain as yet unresolved. The transfer function should +be recoverable once those and any additional computational issues are +resolved. +\end{abstract} + + + + +\section{Introduction} +The local Type-I Seyfert galaxy NGC 5548, while perhaps the best-studied +active galaxy, remains an object of intense interest and study to modern +astronomy. An extensive observational campaign has been carried out on this +object, producing the most complete set of time-dependent light curves yet +collected from an active galactic nucleus (AGN). The physics underlying the +nature of these light curves is not completely understood, and so remains a +topic of debate and great interest. + + \subsection{Reverberation Mapping} + A primary model of AGN suggests that an accretion disk is incident upon a + central super-massive black hole (SMBH). Electromagnetic emission emergent + from the accreting gases close to the SMBH is reprocessed by the + surrounding gas clouds, resulting in observed response delays between + emission peaks that are dependent on the geometry of the system. The + impulse response encodes this geometry, and astronomers have combined + models for the orbiting gas velocities and ionization states with these + observed time delays to calculate it for some known systems. This + technique has become a standard for calculating the black hole mass of + AGN, and is well-described by \cite{2007MNRAS.380..669C} and + \cite{2014A&ARv..22...72U}. It continues to be refined, and may also + become a tool to measure the black hole spin of these systems + \citep{2016arXiv160606736K}. + + (Probably would be good to put a picture here describing simple + reverberation.) + + Many reverberation mapping techniques involve time-domain analyses, such + as cross-correlation. Time-domain techniques have limitations: + cross-correlation, for instance, provides only the average time delay + between two light curves; they also require data that is evenly-sampled + across the time domain. X-ray reverberation mapping in particular has + developed a body of techniques based on frequency-domain techniques, + primarily Fourier analysis; these techniques still require evenly-sampled + data and have been enabled by the relatively good data coverage in X-ray + bands. They provide the astronomer with more detailed information about + the variability and response delay within the system compared to + time-domain techniques. + + The power spectral density (PSD) as a function of temporal frequency for a + given emission band can be produced using Fourier transforms, providing a + measure of the time-scale of variability in that band. Given two bands, + typically a reference or "driving" band and a delayed or "response" band, + a cross spectrum can also be constructed. From the complex + argument of the cross-correlation function, one can derive the + frequency-dependent time delay between those bands; an important step + toward + constituting the transfer function of a system. Very good explanations of + these techniques and the associated mathematics are available from + \cite{2014A&ARv..22...72U}. + + A top-hat function provides a simple model of the impulse response of a + delayed light curve. A fast Fourier transform method of this impulse + response provides the time delay spectrum as a function of temporal + frequency. This simple model provides a guideline for how the computed + time delays are expected to be distributed as a function of temporal + frequency. + + + (Side-by-side graphic of top-hat impulse response function and FFT of + top-hat giving time delays.) + + \subsection{Unevenly-Spaced Data} + + Some X-ray datasets contain gaps due to orbital mechanics, which motivated + the work in \cite{2013ApJ...777...24Z}, where a maximum likelihood method + is used to perform Fourier analysis on light curves with gaps. Since its + development, this technique has found success among studies of + observations captured by low-orbit X-ray telescopes that exceed the + telescopes' orbital periods, such as the analysis performed by + \cite{2016arXiv160606736K}. Until now, reverberation mapping in the + optical bands has been limited to time-domain techniques. Many datasets + available for these bands have uneven sampling across the time domain, + however, and so do not lend themselves well to time-domain or traditional + frequency-domain analyses. The maximum likelihood method is well-suited + to extracting useful information from the data available in those + datasets. + + + +\section{Analysis} +The 1367\AA$ $ light curve, obtained from observations made with the Hubble +Space Telescope, is chosen as the reference curve. The power spectral +densities and time delays as a function of temporal frequency are computed for +each band in the dataset -- 18 bands not including the reference band. + +The light curves analysed here are unevenly distributed along the time axis, +which suggests that the maximum likelihood method developed by +\cite{2013ApJ...777...24Z} is a reasonable candidate for producing the PSD and +time delays in the frequency domain. The latest version (CHECK THIS) of the +C++ program psdlag associated with that work is used to directly produce the +PSD and cross spectra. The time delay spectrum is produced from the cross +spectrum by dividing it by $2 \pi f$, with $f$ the mean frequency for a given +bin. + + \subsection{Dataset} + \cite{2016ApJ...821...56F} published the best dynamic data yet collected + from NGC 5548 over a 200-day (CHECK THIS) period, for 19 bands throughout + the optical and into the UV spectra. These data were collected from a + variety of observatories, including both space and ground-based + telescopes, and thus have significantly variable sampling rates. + + (Include picture of Fausnaugh data here) + + \subsection{Error Analysis} + For the presented set of resultant data, the error estimates are extracted + from the covariance matrix. This method assumes that the errors between + frequency bins are not correlated, so these values only represent a lower + limit of the true variability. Scanning the likelihood function can + provide better error estimates at the cost of computation time, as can + running Monte Carlo simulations. All of these methods are built into the + psdlag program provided by \cite{2013ApJ...777...24Z}, however, some + issues have prevented proper error analysis using the latter two methods. + This is discussed in more detail in section \ref{results}. + +\section{Results} +\label{results} + + An atlas of the power spectral densities as functions + of temporal frequency for all 18 delayed bands is provided in this section. + One is also provided of the time delay spectra for each band. The reference + band PSD is also provided separately. Errors presented in these atlases + are obtained from the covariance matrix. + + (Atlas of PSD) + + (Atlas of Time Delays) + + \subsection{Dubious Error Computations} + The errors obtained from the covariance matrix are only a lower estimate + of the true error. An error analysis by scanning the likelihood function + was attempted, but dubious values led to their exclusion from these results. + In the case of + + (Example of bad LF error) + + Monte Carlo simulations were also attempted as a way of estimating the + variability of the resultant values. Many errors obtained from this method + were much larger than the expected accurate values. Therefore, this analysis + was also excluded. + + (Example of bad MC error) + + +\section{Discussion} +Frequency-dependent power spectral densities confirm time-dependent variability +in the emission strengths for each band. This behaviour is expected for +any active galactic nucleus and has been long-confirmed in NGC 5548, so +it comes as no surprise to find those results here. + +Analysis of the top-hat impulse response model predicted frequency-dependent +time delays, which have been recovered from the light curves in this analysis. +Furthermore, the distribution of time delays indicates a wavelength-dependent +nature. This warrants further study and analysis. + +(Maybe a graph comparing the top-hat time delays to one band's time delays.) + +The analyses performed on these data have elucidated clear trends in the PSD +and time delays. With reverberation mapping, the goal is to recover the transfer +function, which encodes the geometry of the system. Recovering the time delays +is a significant step toward that goal. + + + + + + + + + +\begin{equation} +y(t) = \int_{-\infty}^{\infty} g(\tau) x(t-\tau) {\rm d}\tau +\end{equation} + +So, $y(t)$ is a delayed and blurred version of $x(t)$, with the amount of delay and blurring encoded in $g(\tau)$. + +The power spectral density (PSD) of $x(t)$ is calculated from the Fourier transform of $x(t)$, which we denote $X(\nu)$. The PSD is $|X(\nu)|^2 = X^*(\nu)X(\nu)$, where the $^*$ denotes the complex conjugate. From the convolution theorem of Fourier transforms we can write: + +\begin{equation} +Y(\nu) = G(\nu) X(\nu) +\end{equation} + +This means it is easy to relate the PSD of the reprocessed lightcurve to the PSD of the driving lightcurve and the impulse response function: + +\begin{equation} +|Y(\nu)|^2 = |G(\nu)|^2 |X(\nu)|^2 +\end{equation} + +The cross spectrum is defined as +\begin{equation} +C(\nu) = X^*(\nu) Y(\nu) +\end{equation} +the phase, $\phi$, of which gives the phase lag between X and Y at each Fourier frequency, $\nu$. This can be converted to a time lag through: +\begin{equation} +\tau(\nu) = \frac{\phi(\nu)}{2\pi\nu} +\end{equation} +Since $Y(\nu) = G(\nu) X(\nu)$, the cross spectrum can be written as: +\begin{equation} +C(\nu) = X^*(\nu) G(\nu) X(\nu) = G(\nu) |X(\nu)|^2 +\end{equation} +thus, for a given impulse response function, one can trivially predict the time lags as a function of frequency, $\tau(\nu)$, by calculating the phase of $G(\nu)$, and the frequency dependence of the lags directly relates to the shape of the response function. + +\end{document} \ No newline at end of file diff --git a/scripts/tophat_fft.pl b/scripts/tophat_fft.pl index e4c8f76..f3fef57 100755 --- a/scripts/tophat_fft.pl +++ b/scripts/tophat_fft.pl @@ -63,7 +63,9 @@ foreach (@tophat_list) { # This currently multiplies the imaginary component by -1, # and I really need to figure out why this is necessary for # proper output. - my $φdiff = atan2(-$V,$U); + my $φdiff = atan2($V,$U); + + wcols $f,$φdiff,"analyses/tables/tophat_φdiff" my $offset = $φdiff/($_2π*$f); # Output frequency-domain time delay for given tophat