From cf9dc961d120f45db0e9fe9462cf7b282b4deab0 Mon Sep 17 00:00:00 2001 From: David Zeng Date: Sun, 16 Nov 2014 16:53:26 -0800 Subject: [PATCH] fix error in docs on new features for Sum of Squares expressions. --- docs/_build/doctrees/environment.pickle | Bin 14399 -> 14409 bytes docs/_build/doctrees/julia_tutorial.doctree | Bin 43344 -> 43322 bytes docs/_build/html/_sources/julia_tutorial.txt | 2 +- docs/_build/html/julia_tutorial.html | 6 ++++++ docs/_build/html/searchindex.js | 2 +- docs/julia_tutorial.rst | 2 +- 6 files changed, 9 insertions(+), 3 deletions(-) diff --git a/docs/_build/doctrees/environment.pickle b/docs/_build/doctrees/environment.pickle index b18e4f230c0ee7b28bdd744a5a7620a66ea2a363..b0e3335d099b81289fd63a1f2506ab751861b653 100644 GIT binary patch literal 14409 zcmbVTXJ8z~6_%SMpKZBe?{1~pV{h+fcF&fG zC&398c0x-+5|WTWLMkbwP|`_<^aiB&-bg}8Z{K^fd%n}@K*^tdQ(l|z&CJfs&R#h^ zl@BVy^+)?1f1j($e#!B}#QLi16*kos$Z2IcUCS9MtE1ozyPgxsnXzCsbiKrRDD&-- zWBIP!=;p(OoVDVhY|m%2Ip_*qKbuVi4vIT6hjz=(oHfI)ROIX();#4X$1Y@TZ@)bj z$b?{qIaYh!dU~TiX!fy6$7B!S7 zt@eryMWO5w3#vKW>Im%-vMx`yW^s#TZ#9?hLc@zy&$Y8*H7qOF_T+LwEj>lcQ=!vp z6KK*?>zkCSYtoAP2AmeP>hxMWS7xdL4e1lz=@VgSo9jEa+UD3nI3%m^F6b|M$vv^* zel%r3%T?5rDX^a*dc-McnW#1BOf+Z~?6`ix8I`NK9c#3FTCE*VPl+WNu{0x&&4^_g z0mR9@XTZG^AawCqHI)``G9NramiSz3n-)$Tp zieP7~Cw7WWvE4mrf~DmJG3-yweIXh%*w~n=l_-=;HXyM>Tc)+V2zUo!LCcF%7`lGh z_w1bG1zKK$_LRy6(|azp=2XV|;;hv+Zgq}0zNyQI3>CBo=*@W{FN;$sOwUCqg0i>I z^+)==ycfuE7XiYSFLGzEz2q4YXQcpHN7&XWrgxq2T(@?g1DxL*vO-tGxC*+ zma48m1)-Kft)Obn8}Z7yY*@~R%0b@^&7=?1-4fao$bEv|9{W=~{f(iO-dJ|n4f`wp zh#Up891~k@yhpAOqvP^<>3N80SPpHk#&m#~v|)O_I4~|>kX{BROlk#%K;^T_8Nu{M zIIz+yiT|MCf1$W?T)rs11pFRPh!dHwBIZMed0bpIF0W3{2J>(kFC5l(m>7;2h8K&& z^?x`a-)XhO(y%)s z-xUvTlTU2m;)HxRy6hcVz9(hPGmDRGP#qq2N9B91nf(|7)ui-FzB*nVbEhyanF zOV2RSTV2LQaGF4UURw)ASn`D9RkArq^HS{#Ry#aKIK}Paek*|q-tlQp3FH?u@=MmD zcxgQv_S5R3XphP-+tvb71lM^YVvxR)kzchsq9XY<+e$D?C}3TF9cyl9*scPJZ&wWXKFj2J@f-i@aec|XV|0B#6m=k_%C5FpYzd&9E@+UNf{Iqd_ z|1+_?Zrxj3;r#sQD(x3_%gA5SMDr^v;g$W7XwUF#Eq?>Q!~(HgoFZ0>HFy`EBer7Y zVa+W#6$dX~KTi$#t(Lz-Ib8Vt6U<@{2iAhlg344M3ib!(EpmKgru`Bj3(s2q2fPUwM}bli?yg}oSC>7?-75;f?Q2UWjqPmg@W0I zVQF5m^C3E?viYr%P&2@{;-H!dqSY+cXf`aWoiokq|3m6KP&v_E?7+~Q{JfJ;ov4P^ z*&tdaSW%>P4rOS~m=|S50~8A-*x;Rn)eaR^<)T~g{=({XeVQL^?{HQ06v;=jJ(p<1 z4o=NO(V>H?3q-5=cmgDmgbaCL*0Qr}?x_W}!i7zUsD-u4*){ytqFUjcy2z@gg;Ii9drf z4FQ?o>-u;#d001KgX9HMjSu-o2G1he&2!$Cnj+fls%N4G@i-eqt7qW}04L*HOB#BL zc-DG%*Z|d*+^>j96W2mIhQld0LA#OLw$_zdKTYMFTSybI9a0R zZUT+*Jr8NEHnT*8?{g{BfbX*2eKwA9a@arh*?yr9i%7tYwcu2NCMU`A7NXthW3gbl zAl8_K#w6CGMx)va79c(dqSZD$3GpWq*iJfoiqw#n&=>3Q-ocu88qItZrFLdZ^}@Ue`NF` zqTT65fO;J(OKv)t+!_fBq#w3=>hw5lT50Qu!0T6uU9#l6@f^wHs!(>Gl8^Rx|~>O4aJ zk!bu*}Bf*gDi(e89Rq>Ze)3MKIH5QtXectSe@)KesT z99yd+az$OuMUbZ>n&f#ANa`?(q2dULRxier9BgEH2})}%b;QY&y@%>2!)sXAwMLie zFV}IVxoPps=X%t~{pAK0e`&q=%UXz&B|_%qpmBe>5oxVn!4gq_c_n2U`pfaXLABIZ z9_|aw@&5laDUzRL{8dD|)5ihUp=yba6{2qj4U^+d-~!IC2GQy@coNP}BJ*0(+*70$ zO=+Os%*tP9lpEk*&zaW1--7xW_*+^04fW!0Y#~mTsO`6b#=yS`X|3MO5)trkp-cnt zOL?G{T;DCZSN!i|m0TpdZ)GcWWA$w)0K9Jp(du@ttsATFKmmXx539LiG$!B4yzh#5 z>F9Lt-q^LO)y&w$UBYX zT`YOGk(@9f??Gv;IZr$wQEN5qral1KYL0}=@&#+iqAA1q0PV0o$c8^;44Y2$Va`n4 zq@w8`K?ScjKgvQMs~5U=QlXwA=_lAePW5ru`vfvteUe3@zVj*0Of=e4BvT~+Y0$Xq zeFkZ*KFbo3_?2@WoAi4vYx)=Rvgk0-gxAz=yRW`DKE= zpq5(5DTexsNNV*ZJWcOFXZtc|TDSTusAt5#%CcXpm;HJRSu#WI`3BX;h(CagRu8gB z1ldEJX|_$KNdB9kG2-7sTB~ofL?r$l$}}L}g)LMc&Y42dM`v8kM-Y?aPp*-@?-K3i zqy8;^awF-Xli)yo4;8@s`yg8V08g4rX#h8{0e|xH3Gn|REBKL7V7mH`Inx@0pP;_! z#3wovOQ@fs7DMP~AX@#LRYlDu?PV=G@G~pI-3U?&_3XV~TPw_M9yU>y7 zz{Y&n5AgkO>`2sMJED`vjQS-h<}V%bcUAGoxcU`JO=0xST0A#roQ_}Mr_Ck^LbhQ5fwZ# z{=`C$)C)a2sZdXm^ixlJjOyc&@i;PC{h39g=>3H=6OHy1$rQ=|6*L|he?wZUzq3Rn z{twDDjEpvNANn?CYOB<>ra2Q%d&n8G@K2&Gzn`mrp&BFN-ymB32Tz)Twjdnj4F>>s zLE@7`)iymYoaBgS8doy>(~;C_2A(zeXL6=B60^9Tj(FNxxT9XUvxP9(p+?RIjiZo2 zTB|uM5y3c@GtIWi5{b_PjibV@G#v4sJV;@_2=)7J(aaTMVMrF?iBUHZ@rUml|nCS1qDN6TS&2 zLra*EN5@hmwK^8hT1=O5rWw~bEKfmw9G2r){P=qD?iS)?i4ZvfG!Dy&NNaTxOGIHw zQl=p+^LlA}6W>diY5>SHGS@@2yXk|!IvM4Fx)(&N<#-a*bO~ap?pgpqB^O(QS~N&D zt*TC8AzD=#2AbVW8NRB}Om-@peX22QUNtGs?8u0n8L=xP&d&&Q-$boI1;^?%7COCN zXyv3rJw?(_t?#4yI9UD2Xf?nh5!$ObGtp>IkxY^N8K7~n&O}QBMaW0`?3Lti*6I?Lh{P|YOattT;?uwX9er|-Y-Wgdn@bPo z%M~R!2w4!V_TouF;QJ91SrH5Jc=A|Gcrn<_$dgTuHRp|H6QBZTnn8*&c2FN< zJj~)F_2Qz1I9a0hx}Y(}MWnU5oFyWRJ<2p-yrj2wZ>jHphnYMivn8V4>0{7=&yTM` zCF_v(Q4gfcAX-)MB&1t$18j1=CD=uSaMKGzvJky6>O!E{WME915QLm*4naJ}R`uNNO}Ax@SEi!snR1Xm!f)$>>)3c&%&G=!kD7vE_@RraPjwUAR}NfV8}CmRjw z`6vR=F95;WD4ql~Z$%;#Jw@{A$*|?#dytj9&?qs`y@)fdp}UIeW9$yG{CK_m)h*=7 z6t(CuXpG$vq;Y)85)pPUp-cmI3w!xiUmq^nM_0Ys}e;z`)k8}cX*P$%amN1c|7cCB{Ox#2d}{U)Q^ z#N^GKX$B^q8{R_oF|coC`M1@}zrBS#nWDDd4jKdd4y3huCrd=YzKb#qz%J}9+4wI2 z-x#rlQn-UWX{|oY5)qIe;Y_n>vP9w^ z1&!nIF{HJ+mn9-~V0D`jQ(O z^r=sR0TKBWh*qD*lOjUbg(qc4SjhXy!!m^t@EJDqS!2co?LN*lBNvZ=`%xbQ|2Y=_ ze7*P=T8NV+0^p0FG4NkP8ppFN5dr@d$}|AKq&IX+_zvmNtw7vru)VRs4W^1ac}Qlz zO4KY+_CQ^7h}9+6Me5YoP!HI@4x-gJ@Fdu2fif94P$$=)40T$GOq_QpCZ-J61^H%f zbn2)cVABt>>8^}ep1}n`u{I;N(w{-NGQ(FI)kDnnO~bW$-Ghs7yshhw+r)Atk30X~ z@kh6a)uwd*MYo8xo7X+?&+>H-cbCLglrFn>+3EewrEy)VEmMw@I6|B=42& z%d-ytmhiH;ct`gcoZzrEx8j&fsoARXtdm3-R?Z$6*uQ^&e`PEbxa3_{BLf9z-vIc6 z0redy!wpkht<8GQKF1rJg`2AM7eF<~7bvr%xXNBSf~&N+!dWnPYy;sq;SuWuT>LC$ zhs)*AFNY2;#z(jEvH|Y?IY+E69C$bA=-O|lF=)YWUZwa9nSS4j{@%LKFbr{hLVXv` zVe9ifZua-N*)w2A{Qyb)0hYjh?@|Rnn4HtWH?0`BWL4jq%%v;Tk03GFHojZ^m_$3tHTr6)A;Et%DK~>dSz^Bc)G>bOVpK}HEbChfK z3p`UedG5f`H_B%>FPG!HZl|76UZu#P{I*Ztw t1NuPy0j0R;oAuqW;^r^Ux+8uW;Qx`t==QGq6H?afYz?|ckOy@A{{@5-3uXWS literal 14399 zcmbVTXJ8z~6}Bx~lFzo>urVOugiIm>l8hm=K!R+`#*u9q+Y3iI&a1nXW{Osgq*W#pKQ)%GDFZ6xW!B+;X7zCT-BK-&=(1XKl`?tj%VlY+CF|L~kMi=g)jDKnuT;*k zFON)HO>WMYE7H~+!+KP@Vzp)kkWo%i9-WrQOm<|aGl~e?+1quYx5w_^Cy&$e_%5-e zrafsjmu)BtWQSN(8M3XGz#bt(@&s!RMR^lG`9LYW5psiH%ih{!|~P)#__s9h*ig4b|3r)hb5HJs%mspk-%hTe>v{;cA80|DPc7#}7?0DHy!ASO}|-=%g}fpvp)oZd82BY`w_6

Q{yka#+M(r*!*;KUfd8MrFIf=|pWfy(V4%||4n<|ZtCFIZ~mcrPG z69l|EWUcvIO1X;XBsXy;a^w4?BeEj5Uk;BCT_@OgF(k6q9K$dI1_6eV{n90dE5sF; z^u#c42gjG(W{)^B54J18mftTuVnbMB7e~9pM4Q~aZu5@oDpt#GNBMA776xWmEv2En zlf|N1)WB1fMoMK0!`BsSW>(8mmndoh#)>toJf>xt>Q)O-M*x1*lSgjk1ZR`-11(jo zAzLnM=~o*n)`AhQG?WQS*+4m10s^z>19i86SbVu#(A{HC7cYNfh|(L&47)*3xi}(6 z!7Rtb8XNbKtHkKId|_$z=TCDr;w;@MmZx`-UtU) zdJXaKGyE?W*Nn@Tq?Uo-;{|at^R>jh-!PAhYsckvskvYtF5!m5+71xILBnvpI4~|> z$}SchZwPm#qG7s$m|kX>ZWK3+%a^AT&|<4<5H}IWD-6dg#ZBY#RjdYnySa*u+aJMk zGcmo|Fug|HJT70GYK0n_Ox%A9_1|jxUng!Em#^nRQ7-u|Wtw?zBc3-Hp4-K3dD<;`7URO}Vkh-<|Gaf7%?+$?Spw~0F)pb)eK9+?udMM zG`USZv5uP)@;w-`_h|XvE^C3=d}RE}@US~7-)GJ4!JM!bV+C-F!=()EUud7@%lD_{ z2fC~|X4$&eYNFNszSLqkh*ENW$j1@M`%}+C`+9q~n@e5_>`qAzIL?S&Ol~ZpXk!uD z?KmpAr6la4d_df1B?pU6l7?^+yQHjgd1@z1!%0kZn)N-_f-SC}bv(~5I;Dy)KN!dl z*}$+=9#ig!2;_%Tr@-Wz)u*0*N^*LJt+v3yeci@hD^sRB<44l+qgEnQZIvIht%cM- z8iV1%w0x*b+-tQU>K=57`^5uRbHOfRmRMD58PRq|&&1MkE&tjvc91mL@M?P#dt?oHhK4P_mfXL6K znhf+-n{g4GCQ+Z))?yJ9JmGld%n+n`tM&z}86G2@;%@PXmB0e;6lqQIBm0hOo2GO|0@i!fJsv;m1~DxKt_T$SYs|gqDz>)^6~B zHr1~8=VHyocIy|ht;{cJq4|}S@Jhvz@R{M)TK)!piA7?iI8m$-r{P|>Rt#d(Va?Au zWd}FjVwM8OStD zQ|{ybHCYKsXIvOf$bUn{f3%u0bHs2^sRh?6Bun-BXLIjf?9LQH!gcbF28PCDq1xvCOKa+>8;7467qh z(P|m4)eJ4?N>^H}N{f@y;^ee2Pjl)>bO_{Btze;};zCDHDb$fC{S^K&)SnOY){cr+ z$FfL>@Nrz3Y_ua!rbzyH(0rJnB+6QKutX?+0##}gB%q9auV!kciD*)S$QiQGNpw1o zt7;`Uk+%~;w0ah!nK--ley9ulvB8$GSbb$ zJ#pdQ2Et^A;$00ICFE3;wOYdxA)=>orQSAKBJtBfql7#MWv$L&iBSAZs?;Q8VW(Tf zt;xf_0S`#HrA#wF#?HYF6?l z1@tl@Hg(QrMjq_vvD)Vuwft5@J)bM}*hJ8tkNybSJ{Dga7hl&voGekK>p>%E`%%_v z151R^Zlp>Lv@1Gy+jxUBgh!`tyO`_7{t-xH8#rBz$w{(&0nzrh*kr*64-|j0O}M&L)7yzs5i6HEk>z#rjiBC%vQ`#Lgiv2Zl^Up*cG}o_7oBcrv>ZO?O&ewMkBnYSv^}*1DEG0lWdDRR zl|nB7z63<8OK~NDr{)E=Y}-4{V{x~G$7#_xgc!e|lp-hgF^S&6559m0_+sev|!J(;wz0}1G~qS#;_OAAHiN^@lss8+(4WxQQ#6Z zf?c7kmCq6(>;YA3U|-sa$ANBoQRQ?GSBhDB9V@+9RJ+jtT=#%z zHOjq9s=WY^JgW>%-i#sXjd9 zB!eb}4JO~+M)I93`7R?_H~CBuhn{@swQ3%V-p!^-=v*#gN0>Klc#x+@rT4JSdyGvp zYTnD0Gt%PBv^Xm*&Q1&SrAWOG9lU#dKMQ>zE_CmdLLGV1Pl(+|{n1#v9~G@0V3BaJ ze2^=XjdtY86v=-GG#YCkMp>(mutX^SQL5C8wTWlhH538@G0M-G{47h(kcE#CoyMmy z^&l9L=Z8SF`Z%u0v%nXxJo#l-+t?HCC#sE8JSlyWJ2?@bLQ$(v<7$QtZUmp-o}+)vTQ!H68{Nkg#AxZ*6L?05sLquDmB*?PuM{v|q* ziC=+e^=n)y6Z~Gjj`cUBrz1~pPo0oS53RptMqYM)hoV-$$F({|p5RJ7QW4O9Kz{`E zA6fiQaq%Y`h?6A>`YF%|=%-QE>KT>@f&Md9YJgtWS^a3%{l8;P9+KI=5N%H#fuVe1 z^bIZjavO1*J>XA z!Xak(4cdb0H8 zw>UCgB*{B6xq@hWY7v0iMBk~C+p4P6QRoAtM}uf}46X#}l$`CPr6W&1PmL|#Jdb5X z#~DQi(c`&Nk7$HQ68)Tw4wgM3F5B5amdsFSD?y`VoQN`Bn6gBO=Cip{Z<;KTco%4t zj8!P(1u08};wMw3CK>ZOCq6DuHx1+$89RljxpnTWexX*~Xhi~gK(y+`l@dU=&KS>X zlI+Nnhf_mOn@O`QP-)7g;#4-U#uzY(IgKmz=tM*Pbn1`LeGbc?5tl!+fjpU_fX@Pr z&^;SvtiM`vL%ojkeA3d9C!eRrn}>QID_Uz58AR7{r5@1;k@e{3q2AB38{)DX8_1Fw z3he^WC>fhj*6IZ;5u!Q3m3q@;iNrU9M#86qV0StWi9JVuB*|fE(8P8vK>UL9k^0j=n%`)>^n(cN1j5MIycjp z3l`hD$k;NOyO=BW@I`YWh5iWrOIZBUxcFra#K{t&a5-p%ei~)1u3(7}{R~xV&|lUW zxCOj6bLfLL-n!e~nD6@21)n@5v%83z?aNN6OYUHG$-YpXve6Ihhd{K-;!4=l_GL=$ z9BJ#wlmCZQ$A|d)Eu1q%Cktb6mUj~hmCsEc)u|z2DQ>7+(6HmN- z@Sg%P%5hY(_UkP2O4GJ#VBj_5|#*UU(1zx z+hmEv_k%`R7)M#F>sTTbKR}h5EOdsCT3+l$zmua|iyuVq8mklPFo`06$%%tR+fyfC zikR2_-q^(Zeg~&qNqO|nQC$yiFu~Vb~m0WBHYTh7O z_w4ls7NRxHFwjb7+Hg3BR>b9enM!wZW%5Z8MDRv*aIW6OLU+Z5-aMsHN1pUk z^lzd5C|PesMXR^5NQm~^xiZ;kN1jZP{5wFSWZjLjR_|nqQ2bp~sY%wvN;Y`tb138t zS$H>5^X~4DhpE+jz=(w11ESS?aYe!ePFUy3FO#7~c+51V#av>j-^T*)Hv$Ig4{)V% z)c2yF5xL2EW0%RV@HfVPCk{nF}-q==6fM}H-VC&$&7&}tgP zA4SAdEeLx+R=>HB@|P#qh(9=-b%$=s!z0KG9wfgNAqEC3ip@&S&CRsS#g2&f307+N@<+uVi1D zaqy3Xm%(v6I?v$v2drap2(yqGE|r2}DR6K|Jv70LMh>u8SMsZlZa1e)OaY!>~PSN_pae{-^{IX*XxMnKKvyK-*P(G)(ch8{`L z;J|oEjr8W6-M!%Rd)2q#qSb~OR-?CVk9k&vX8hb$hz2eFv=#odb+KXC!TkyKZK%QE z{SJryT@Jem5vlK?i2uG4IOSa^;}^4p`aW8$lP~Y;THn9c+PHVq)(wMuFYepEb<@_3 zd;7O3r+xu7bUbedX^z`Mc)DIvrFk^hX`XPz7l56z+T>S`DItkl^Ki>pK zn;OpY$zBfpm@x35RKh`f*9nF>a5|RTtA0$1mea7rc~CrB(5HADilvi1xdYb1@Lv!1 z87CqSSZ!{xTnWIDrN383thtq7xcjVb-yKmufvSqNh=(|i$|7d^UoNM9igvsN$F&Q? zy(O)Fj-nXEPY>!BRCZuZKIJ5nqG{3l3^&g`l`pk&R>RH6GL>VU52zt}JihyVZp diff --git a/docs/_build/doctrees/julia_tutorial.doctree b/docs/_build/doctrees/julia_tutorial.doctree index d28bea1338b6285c75ee9ec32f74f3f72a13c707..e95c9a8cf2bfd1ac1c6e3ce4a7d676eb8093b243 100644 GIT binary patch delta 77 zcmca`iD}m*rVVaQVpBC6iz1jA7;1|mfuu%;MnnVy1H0~KYsz|=%+E^fZ73IM!%7z6+S delta 117 zcmdmWiRr>6rVVaQ8ap)`iz1jA7;1|mfuu%;Mno0^14D9tN~&&BPJVK>l~rDTUMd&Y tv+5u+Cu0P>wB%1`1`k;MN(jIkx$(Dgd_2CD;G} diff --git a/docs/_build/html/_sources/julia_tutorial.txt b/docs/_build/html/_sources/julia_tutorial.txt index 8e9d1e2..2122922 100644 --- a/docs/_build/html/_sources/julia_tutorial.txt +++ b/docs/_build/html/_sources/julia_tutorial.txt @@ -246,7 +246,7 @@ assuming ``x`` has been populated with a value: Often you'll find it useful to first initialize a sum of squares expression to ``0`` and then add on more sum of squares expressions in a for loop. -.. code-block::none +.. code-block:: none error_term = 0 for i in 1:3 diff --git a/docs/_build/html/julia_tutorial.html b/docs/_build/html/julia_tutorial.html index 481250a..ab30251 100644 --- a/docs/_build/html/julia_tutorial.html +++ b/docs/_build/html/julia_tutorial.html @@ -257,6 +257,12 @@

Sum of Squares Expressions0 and then add on more sum of squares expressions in a for loop.

+
error_term = 0
+for i in 1:3
+  error_term += rand() * sum_squares(A[i, :] * x + b[i])
+end
+
+

The variance of the entries of an affine expression X can be expressed as sum_squares(mean(X) - X) / (m * n), where m and n are the number of rows and number of columns of X, respectively. For convenience, the function var diff --git a/docs/_build/html/searchindex.js b/docs/_build/html/searchindex.js index 333517b..f297930 100644 --- a/docs/_build/html/searchindex.js +++ b/docs/_build/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({envversion:42,terms:{represent:1,all:[0,1,4],code:[4,1,2],new_list:1,scalar:[4,1],concept:[],sum_of_row:1,markers:[],unconstrain:[4,3],follow:[0,1,2,3,4],row:[4,1,3],ar_coef:4,content:[],middl:[],depend:1,graph:4,articl:4,alwai:4,deviat:[],matlab:[],under:0,preprocess:[],sens:4,must:[4,1],norm:2,sourc:[],everi:[],string:4,sum_of_column:1,end:[4,1],default_color:4,wave:[],fan:[],veri:[],quantit:[],sortperm:4,harri:[],showcas:[4,2],list:1,signific:4,correct:[],"try":4,eq_constraint:4,vector:[4,1,3],form:[4,1,3],red:4,println:1,dimens:1,work:4,linear_coeff:[],trend:[],natur:[2,3],sign:[],jump:[],second:[4,1],plt:[],design:0,pass:[],append:1,x_valu:1,compat:[],index:1,what:[],appear:4,ofthen:[],neg:[4,1],section:[4,1,3],linear_regress:[],calcul:[],overload:1,access:1,abt:[],intersect:4,"new":[4,1,3],except:[],full:4,themselv:1,abov:[],titl:[],gener:[0,3,4],coeffici:4,here:[4,1],satisfi:[4,1,3],accur:[],let:4,path:[],along:1,vertic:1,modifi:4,sinc:[],valu:[4,1,3],search:[],divisor:[],y_data:4,larger:4,amount:[],behav:4,pick:4,implement:[0,1,2],magnitud:4,chanc:[],line_v:4,via:[],testdocu:4,optimum_value_2:1,optimum_value_1:1,anytim:4,julia:[0,1,2,4],readili:4,melbourne_temp:4,"boolean":1,total:[],unit:[],plot:4,from:[4,1],describ:4,would:4,subtract:1,tackl:[],two:[4,1],todai:[],next:[],few:[4,1],formul:2,call:[4,1],taken:4,suppos:4,type:2,vec:[4,1],sort:4,traindocu:4,diamond:0,outweight:[],nonsport:4,peopl:[],ylabel:[],lab_gradi:4,visual:4,train:4,known:4,olymp:[],reasonbl:[],none:[],word:4,objective1:1,setup:2,objective2:1,uniqu:[1,3],column:[1,3],remain:1,itself:4,can:[4,1,2],learn:[],veloc:4,control:[],quiver:[],encapsul:[],process:[],explor:[],mohan:0,sum_of_squar:[],david:0,occur:[4,3],initial_veloc:4,huge:0,cours:[],multipl:1,goal:4,divid:1,rather:1,anoth:[],travel:[],perhap:4,classifi:4,divis:1,how:4,hot:[],tile:1,instead:4,simpl:[4,3],updat:1,mean_of_row:1,recogn:[],referenc:[],singular:[],line_mat_v:4,clone:[],after:1,constraint:[],reflect:4,befor:[],date:[],drastic:[],varianc:1,data:[4,2],physic:4,reshap:[4,1],overdetermin:[],github:[],essenti:4,third:1,grant:[],correspond:4,issu:1,inform:[],combin:4,allow:[4,3],lambda:4,order:[],talk:[],indeped:3,oper:1,feedback:0,xlim:[],rand:4,over:4,move:[],sumsq1:[],sumsq2:[],through:4,same:1,cvxpy:0,linewidth:[],dynam:4,paramet:4,perfect:4,miniz:[],conjunct:1,group:4,thank:0,fit:4,binari:[],fix:1,better:4,preserve_ord:4,stephen:0,therefor:4,pixel:4,constraint2:1,them:1,good:1,recal:[],seson:[],thei:1,nonneg:1,python:[0,2],kkt:[],overal:[],"16cm":4,initi:[4,1],number:[4,1],mention:[],accruat:[],x_rep:1,line_mat_i:4,funciton:1,now:4,nor:[],diagon:1,term:4,alex:[],name:1,trainclass:4,solver:[],eqconst2:[],radiat:[],separ:[4,1],easili:2,achiev:4,arrow:[],each:[4,1],found:4,side:1,mean:[4,1],compil:[],sum_of_entri:1,michael:[],idea:[],year:4,fluctuat:[],our:4,differ:4,todo:4,special:[],out:4,variabl:[],shown:4,safeti:4,matrix:[4,1,3],emul:[],goe:1,frequeci:[],notat:2,categori:[],rewrit:[],geom:4,rel:4,print:[4,1],size:[4,1,3],bla:[],reg:[],matric:[4,1],common:4,linearli:[],linear:[],sqaur:[],standard:2,small:4,reason:4,base:[],usual:4,releas:0,hand:[4,1],quadratic_regress:[],thrown:[],line_width:4,convent:1,angl:[],frequenc:4,could:[],keep:4,motion:4,turn:[],length:4,enforc:[],geometri:4,guesswork:4,assign:1,optval:4,first:[4,1],origin:4,softwar:0,rang:[],smoother:4,directli:1,distrbut:[],arrai:[],independ:3,potter:[],ofresidu:[],yourself:4,restrict:[],mai:1,instruct:[],done:4,least:[],repmat:1,open:[4,1],eqconstraint:[],gpl:[],given:[4,3],law:4,acquaint:1,script:1,unknown:3,top:[],imshow:[],system:[4,1,3,2],messag:1,citi:4,master:[],too:[],similarli:[],termin:1,white:4,conveni:1,melbourn:4,img_siz:4,store:[],shell:4,option:[],relationship:4,season:[],specifi:[4,1,3],"short":2,conserv:[],attempt:1,optimal_valu:[2,1],mean_of_entri:1,png:4,serv:[4,1],wide:[],provid:1,spzero:4,remov:[],tree:[],zero:[4,1],charact:[],matter:[],xlabel:[],were:4,posit:4,signifi:1,seri:[],sai:[],comput:4,ani:1,rai:[],fail:[],seed:4,manner:[],increment:[],measur:4,need:4,seen:4,ylim:[],caus:[],squar:[],equival:[],latter:[],note:1,also:[4,1],builtin:[],discret:[],build:[4,1,2],which:[4,3],green:4,graviti:4,singl:[],simplifi:[],begin:[],unless:4,distribut:4,trace:[],normal:[],multipli:1,previou:4,most:[4,1],plai:[],x_data_expand:4,noun:[],plan:[],alpha:[],choos:4,"class":[0,4],autoregress:4,don:[],simplif:[],doc:[],professor:[],later:[],cover:[],doe:[],affine1:1,affine2:1,affine3:1,affine4:[],vertical_stack:1,determin:4,diag:1,built:[],constrain:[],subgroup:4,true_coeff:4,pyplot:[],fact:[],slope:4,day_rang:4,show:[],text:4,random:4,syntax:[2,1],bring:[],pkg:[4,1],corner:[],find:[],involv:4,current:1,onli:[1,3],exactli:[],randn:[2,1],pretti:[],"true":4,explain:[],solut:[2,1,3],figur:[],than:4,theme:4,black:4,factor:[],fuel:4,offici:1,ar_len:4,predict:[],get:[4,1],simplest:[],fluid:4,regularli:[],nativ:1,cannot:1,increas:[],reconstruct:4,requir:1,hcat:4,consist:4,organ:[],postiv:1,yield:4,twice:1,integr:4,contain:[],comma:1,where:[4,1,3],valid:1,set:[4,3],frame:4,still:[],see:[4,1],bare:[],result:4,lsqpy:0,close:4,sport:4,optimum:[],best:4,concern:4,num_val:4,mean_of_column:1,someth:4,convex:0,rectbin:4,label:4,favor:[],state:4,ink:[],smooth_object:4,between:[4,1],"import":[4,1],approach:4,across:[],attribut:[],spars:4,numer:[4,1],"2px":4,job:[],solv:[],exclam:1,come:4,readlin:4,regular:4,popul:1,both:[0,1,4],last:[],howev:4,equal:[],tux_sparse_i:4,horizontal_stack:1,etc:[],instanc:4,largecorpu:4,equat:[1,3],context:4,mani:[],com:[],col:4,tux_sparse_x:4,load:[],acceler:4,simpli:[4,1],point:[4,1],color:4,inspir:0,period:4,constraint_list:1,yearli:4,laguag:[],residuals_mat:4,respect:[4,1,3],guid:[],assum:[4,1],summar:[],math:[],simple_lin_and_quad_reg:[],becom:[],creat:[4,1,2],coupl:[],addition:4,decent:[],invert:3,devic:[],three:1,been:[0,1],compon:[4,1,2],tomographi:[],much:[0,4],holdclass:4,interest:[],trajectori:4,addit:[4,1],quickli:4,imag:[],densiti:4,convert:[],argument:1,coordin:4,togeth:1,educ:[],those:1,convers:[],"case":4,replic:4,ident:[],look:4,cvx:[],packag:[0,1,4],straight:[],properti:4,alter:1,aim:[],defin:4,"while":[4,1],outcom:[],davidlizeng:[],error:[4,1],mbox:[],loop:1,layer:4,fit_error:4,mmread:4,have:[4,1,3],continuouscolorscal:4,srand:4,submatrix:1,implment:[],ind:4,sudden:[],motiv:[],against:4,keegan:0,"return":1,horizont:1,ing:[],line_mat_x:4,minim:[],perform:[],make:[4,2],format:4,cross:[],readdlm:4,shorter:[],handl:[],complex:1,split:4,largest:[],eventu:[],higher:1,http:[],lie:4,optim:[0,1,2],blue:4,upon:1,effect:1,dai:4,user:1,student:[],improv:4,stack:1,techniqu:4,lower:4,appropri:3,center:[],scenario:[],trainc:[],constraint1:1,line_mat:4,thu:[],well:[],thought:[],karanv:0,exampl:[],command:[4,1],t_squar:4,thi:[4,1,3,2],"12cm":4,model:[],dimension:[],left:[1,3],construct:1,entri:[4,1,3],just:4,obtain:[],rest:4,numdata:4,shape:1,touch:[],width:[],languag:[0,1],versu:4,easi:2,tux_sparse_v:4,priorit:4,temepratur:[],add:[4,1],other:[4,1,2],"throw":[],timestep:4,input:4,save:4,modul:[],match:[],take:[],applic:4,australia:4,hypothesi:4,mayb:[],read:4,big:[],testc:[],temperatur:4,five:[],know:[],initial_posit:[],part:4,characterist:[],associ:4,residu:4,like:4,specif:[1,3],should:4,underdetermin:2,mit:0,collect:4,necessari:4,either:1,output:[],resiz:[],page:[],fulfil:[],imagin:[],linearleastsquar:[],drop:[],often:[4,1],captur:4,interv:4,creation:1,some:[4,1],panel_fil:4,largecorpusfeatur:4,intern:[],mirror:2,guarante:[],reg_least_squar:1,guess:4,librari:[2,1],nonzero:1,txt:4,quidditch:[],sum_squar:[4,1,2],bottom:1,overlap:[],gadfli:4,yhat:[],evolv:[],larg:[],condit:[4,1],reproduc:4,overli:[],refer:[4,1],machin:[],intial:[],plu:1,object:[4,1,3,2],run:[4,1],rul:[],slight:[],usag:1,step:[],obei:[],total_estim:4,offset:4,appli:4,optval2:4,quadratic_coeff:4,actual:4,presev:[],transpos:1,slightli:[],cmap:[],approxim:4,block:1,componenet:[],"final":4,within:[],down:4,right:1,empti:1,steven:0,ensur:4,chang:4,your:3,get_cmap:[],git:[],weight:4,wai:[4,1,3],pictur:4,support:1,bodi:[],transform:[],"long":[],diagm:1,start:4,arithmet:1,includ:[4,2],"var":1,tux_sparse_lin:4,analysi:[],scale:4,boyd:0,forc:4,excerpt:[],randperm:4,decomposit:[],x_data:4,matrixmarket:4,translat:3,line:[4,1],level:[],categor:[],count:[],absent:3,mtx:4,evolut:4,temp:4,possibl:[],wish:[],smooth:4,record:[],below:4,main:1,again:4,problem:[0,1,2,3,4],more:[0,1,4],similar:[0,1,4],clear:4,curv:4,classif:[],constant:[],evalu:[4,1],classic:2,"int":4,certain:4,dure:[],discrit:[],num_pixel:4,zeng:0,repres:[4,1],deem:4,exist:[],file:4,constriant:[],eqconst1:[],quantiti:[],probabl:4,denot:4,lemon:[],want:4,floor:4,extract:[4,1],when:[4,3],detail:1,power:4,field:[],declar:[4,1],mathemat:[],horizontal_and_vertical_stack:1,test:4,you:[4,1,3],empty_list:[],abnorm:[],draw:4,repeat:4,sequenc:4,introduc:[],testclass:4,drag:4,slice:1,consid:[],throughout:[4,1],reduc:3,final_posit:4,longer:1,furthermor:[],space:4,rule:1,evenli:4,yhat2:[],mass:4,dot:[],time:[],push:4,daili:4,ar_rang:4},objtypes:{},objnames:{},filenames:["credits","julia_tutorial","index","math","julia_examples"],titles:["Credits","LinearLeastSquares.jl Tutorial","Welcome to LinearLeastSquares","The Math Behind LLS","LineaLeastSquares.jl Examples"],objects:{},titleterms:{control:4,machin:4,classif:4,constant:1,terribl:[],tomographi:4,lsq:[],linearleastsquar:[2,1],linearli:3,linealeastsquar:4,tabl:[],fluctuat:[],instal:1,affin:1,variabl:1,welcom:2,minim:1,titl:[],sum:1,least:3,find:[],squar:[1,3],trend:[],behind:3,mathemat:[],waypoint:[],basic:[],binari:4,document:[],method:[],math:3,"function":1,process:4,hit:[],linear:[4,1],kalman:[],imag:4,express:1,analysi:4,indic:[],solv:[1,3],lcl:3,constrain:3,introduct:[],constraint:1,doc:2,quadrat:4,equal:1,tutori:1,filter:[],credit:0,depth:2,exampl:4,time:4,inpait:[],learn:4,regress:4,model:[],licens:[],seri:4}}) \ No newline at end of file +Search.setIndex({envversion:42,terms:{represent:1,all:[0,1,2],concept:[],postiv:1,new_list:1,scalar:[2,1],code:[4,1,2],sum_of_row:1,overlap:[],unconstrain:[2,3],follow:[0,1,2,3,4],row:[2,1,3],ar_coef:2,categori:[],middl:[],depend:1,graph:2,articl:2,alwai:2,deviat:[],matlab:[],under:0,preprocess:[],sens:2,norm:4,sourc:[],everi:[],string:2,sum_of_column:1,default_color:2,wave:[],fan:[],veri:[],quantit:[],cvx:[],solver:[],showcas:[4,2],list:1,signific:2,correct:[],"try":2,eq_constraint:2,vector:[2,1,3],red:2,println:1,dimens:1,work:2,linear_coeff:[],trend:[],natur:[4,3],sign:[],jump:[],second:[2,1],design:0,pass:[],append:1,x_valu:1,compat:[],index:1,what:[],appear:2,ofthen:[],neg:[2,1],section:[2,1,3],linear_regress:[],"while":[2,1],overload:1,access:1,abt:[],intersect:2,"new":[2,1,3],full:2,themselv:1,davidlizeng:[],gener:[0,3,2],coeffici:2,here:[2,1],satisfi:[2,1,3],accur:[],let:2,path:[],along:1,vertic:1,modifi:2,sinc:[],valu:[2,1,3],search:[],divisor:[],y_data:2,larger:2,amount:[],behav:2,pick:2,implement:[0,1,4],magnitud:2,chanc:[],line_v:2,via:[],testdocu:2,timestep:2,optimum_value_1:1,layer:2,julia:[0,1,2,4],readili:2,melbourne_temp:2,"boolean":1,matric:[2,1],total:[],unit:[],plot:2,from:[2,1],describ:2,would:2,tackl:[],two:[2,1],todai:[],next:[],few:[2,1],formul:4,call:[2,1],yearli:2,taken:2,black:2,type:4,start:2,vec:[2,1],sort:2,thrown:[],diamond:0,outweight:[],line_width:2,python:[0,4],peopl:[],ylabel:[],lab_gradi:2,visual:2,train:2,quadratic_coeff:2,known:2,given:[2,3],olymp:[],must:[2,1],none:[],word:2,objective1:1,setup:4,objective2:1,uniqu:[1,3],transpos:1,remain:1,sudden:[],can:[4,1,2],learn:[],veloc:2,control:[],quiver:[],encapsul:[],process:[],explor:[],mohan:0,denot:2,sum_of_squar:[],keep:2,occur:[2,3],initial_veloc:2,huge:0,cours:[],multipl:1,goal:2,divid:1,rather:1,anoth:[],travel:[],perhap:2,classifi:2,divis:1,how:2,hot:[],cmap:[],tile:1,instead:2,trainclass:2,updat:1,mean_of_row:1,recogn:[],referenc:[],singular:[],line_mat_v:2,clone:[],after:1,reflect:2,befor:[],temepratur:[],date:[],end:[2,1],varianc:1,data:[4,2],physic:2,reshap:[2,1],regularli:[],github:[],essenti:2,third:1,minim:[],correspond:2,issu:1,inform:[],combin:2,allow:[2,3],lambda:2,order:[],talk:[],indeped:3,origin:2,feedback:0,xlim:[],rand:[2,1],over:2,move:[],sumsq1:[],sumsq2:[],through:2,readdlm:2,left:[1,3],cvxpy:0,linewidth:[],dynam:2,paramet:2,perfect:2,shorter:[],conjunct:1,group:2,thank:0,fit:2,fix:1,better:2,stephen:0,therefor:2,pixel:2,constraint2:1,num_val:2,them:1,good:1,recal:[],seson:[],thei:1,nonneg:1,handl:[],kkt:[],overal:[],"16cm":2,initi:[2,1],number:[2,1],mention:[],accruat:[],x_rep:1,line_mat_i:2,funciton:1,now:2,nor:[],affine3:1,down:2,term:2,alex:[],name:1,simpl:[2,3],harri:[],radiat:[],separ:[2,1],easili:4,achiev:2,arrow:[],each:[2,1],found:2,side:1,mean:[2,1],compil:[],sum_of_entri:1,michael:[],idea:[],year:2,fluctuat:[],our:2,todo:2,special:[],out:2,variabl:[],shown:2,safeti:2,matrix:[2,1,3],emul:[],goe:1,notat:4,content:[],rewrit:[],geom:2,rel:2,print:[2,1],eqconstraint:[],bla:[],reg:[],reasonbl:[],integr:2,linear:[],sqaur:[],standard:4,small:2,reason:2,base:[],releas:0,quadratic_regress:[],traindocu:2,nonsport:2,acquaint:1,angl:[],frequenc:2,could:[],david:0,motion:2,turn:[],length:2,enforc:[],geometri:2,guesswork:2,assign:1,optval:2,first:[2,1],oper:1,softwar:0,rang:[],imshow:[],directli:1,distrbut:[],arrai:[],independ:3,potter:[],ofresidu:[],yourself:2,restrict:[],mai:1,instruct:[],done:2,messag:1,drastic:[],repmat:1,open:[2,1],size:[2,1,3],gpl:[],differ:2,law:2,convent:1,script:1,unknown:3,top:[],smoother:2,system:[4,1,3,2],least:[],citi:2,master:[],too:[],similarli:[],termin:1,white:2,conveni:1,melbourn:2,img_siz:2,store:[],shell:2,option:[],relationship:2,season:[],specifi:[2,1,3],"short":4,conserv:[],attempt:1,optimal_valu:[4,1],mean_of_entri:1,png:2,serv:[2,1],wide:[],provid:1,spzero:2,remov:[],tree:[],zero:[2,1],charact:[],matter:[],xlabel:[],were:2,posit:2,bare:[],seri:[],sai:[],comput:2,ani:1,rai:[],lsqpy:0,seed:2,manner:[],increment:[],need:2,seen:2,ylim:[],caus:[],squar:[],equival:[],line_mat:2,latter:[],note:1,also:[2,1],builtin:[],discret:[],build:[4,1,2],which:[2,3],techniqu:2,green:2,graviti:2,singl:[],simplifi:[],begin:[],unless:2,distribut:2,trace:[],normal:[],multipli:1,previou:2,most:[2,1],plai:[],x_data_expand:2,noun:[],plan:[],alpha:[],"class":[0,2],dai:2,autoregress:2,don:[],simplif:[],doc:[],professor:[],later:[],cover:[],doe:[],affine1:1,affine2:1,declar:[2,1],affine4:[],vertical_stack:1,determin:2,diag:1,constrain:[],subgroup:2,true_coeff:2,pyplot:[],fact:[],slope:2,day_rang:2,show:[],text:2,random:2,syntax:[4,1],bring:[],pkg:[2,1],corner:[],find:[],involv:2,current:1,onli:[1,3],exactli:[],randn:[4,1],pretti:[],categor:[],explain:[],solut:[4,1,3],state:2,quantiti:[],than:2,theme:2,suppos:2,factor:[],fuel:2,offici:1,ar_len:2,predict:[],get:[2,1],between:[2,1],fluid:2,overdetermin:[],nativ:1,cannot:1,increas:[],reconstruct:2,requir:1,hcat:2,extract:[2,1],temp:2,organ:[],"12cm":2,yield:2,twice:1,common:2,contain:[],comma:1,where:[2,1,3],constriant:[],set:[2,3],frame:2,see:[2,1],signifi:1,result:2,fail:[],close:2,sport:2,optimum:[],best:2,concern:2,still:[],mean_of_column:1,someth:2,rectbin:2,label:2,favor:[],figur:[],smooth_object:2,simplest:[],"import":[2,1],matrixmarket:2,approach:2,across:[],attribut:[],spars:2,numer:[2,1],"2px":2,job:[],error_term:1,solv:[],exclam:1,come:2,problem:[0,1,2,3,4],popul:1,both:[0,1,2],last:[],howev:2,equal:[],tux_sparse_i:2,etc:[],instanc:2,largecorpu:2,equat:[1,3],context:2,mani:[],preserve_ord:2,col:2,tux_sparse_x:2,load:[],acceler:2,simpli:[2,1],point:[2,1],color:2,inspir:0,period:2,constraint_list:1,residu:2,laguag:[],residuals_mat:2,respect:[2,1,3],guid:[],assum:[2,1],summar:[],math:[],simple_lin_and_quad_reg:[],becom:[],evalu:[2,1],coupl:[],addition:2,decent:[],invert:3,devic:[],three:1,been:[0,1],compon:[4,1,2],"int":2,much:[0,2],holdclass:2,interest:[],trajectori:2,addit:[2,1],quickli:2,imag:[],appli:2,convert:[],argument:1,coordin:2,togeth:1,educ:[],those:1,convers:[],"case":2,replic:2,ident:[],look:2,sortperm:2,packag:[0,1,2],straight:[],properti:2,alter:1,aim:[],defin:2,calcul:[],outcom:[],abov:[],error:[2,1],mbox:[],loop:1,anytim:2,fit_error:2,mmread:2,have:[2,1,3],continuouscolorscal:2,srand:2,submatrix:1,implment:[],eqconst1:[],itself:2,motiv:[],against:2,keegan:0,"return":1,boyd:0,presev:[],horizont:1,ing:[],line_mat_x:2,grant:[],perform:[],make:[4,2],mayb:[],cross:[],same:1,miniz:[],binari:[],complex:1,split:2,largest:[],eventu:[],higher:1,clear:2,http:[],lie:2,optim:[0,1,4],blue:2,upon:1,effect:1,hand:[2,1],user:1,student:[],improv:2,stack:1,built:[],lower:2,appropri:3,center:[],scenario:[],trainc:[],constraint1:1,com:[],thu:[],well:[],know:[],thought:[],karanv:0,exampl:[],command:[2,1],t_squar:2,thi:[4,1,3,2],choos:2,model:[],dimension:[],usual:2,construct:1,entri:[2,1,3],just:2,object:[4,1,3,2],obtain:[],rest:2,numdata:2,shape:1,touch:[],languag:[0,1],versu:2,easi:4,tux_sparse_v:2,priorit:2,except:[],add:[2,1],other:[4,1,2],"throw":[],densiti:2,input:2,save:2,modul:[],match:[],take:[],applic:2,australia:2,hypothesi:2,format:2,read:2,big:[],testc:[],temperatur:2,five:[],linearli:[],initial_posit:[],part:2,characterist:[],associ:2,measur:2,like:2,specif:[1,3],should:2,underdetermin:4,mit:0,collect:2,necessari:2,either:1,output:[],resiz:[],page:[],fulfil:[],imagin:[],linearleastsquar:[],drop:[],often:[2,1],captur:2,interv:2,creation:1,some:[2,1],panel_fil:2,largecorpusfeatur:2,intern:[],mirror:4,guarante:[],reg_least_squar:1,guess:2,librari:[4,1],nonzero:1,txt:2,quidditch:[],sum_squar:[4,1,2],bottom:1,markers:[],gadfli:2,yhat:[],evolv:[],larg:[],condit:[2,1],reproduc:2,overli:[],refer:[2,1],machin:[],intial:[],plu:1,plt:[],run:[2,1],rul:[],slight:[],usag:1,step:[],obei:[],total_estim:2,offset:2,subtract:1,optval2:2,optimum_value_2:1,actual:2,constraint:[],column:[1,3],slightli:[],regular:2,approxim:2,block:1,componenet:[],"final":2,within:[],diagon:1,right:1,empti:1,steven:0,ensur:2,chang:2,your:3,discrit:[],get_cmap:[],git:[],weight:2,wai:[2,1,3],pictur:2,support:1,bodi:[],transform:[],"long":[],diagm:1,width:[],arithmet:1,includ:[4,2],"var":1,tux_sparse_lin:2,analysi:[],scale:2,form:[2,1,3],forc:2,excerpt:[],randperm:2,decomposit:[],x_data:2,frequeci:[],translat:3,line:[2,1],level:[],"true":2,count:[],absent:3,mtx:2,evolut:2,consist:2,possibl:[],wish:[],smooth:2,record:[],below:2,main:1,readlin:2,more:[0,1,2],similar:[0,1,2],horizontal_stack:1,curv:2,classif:[],constant:[],creat:[4,1,2],classic:4,tomographi:[],certain:2,dure:[],convex:0,num_pixel:2,zeng:0,repres:[2,1],deem:2,exist:[],file:2,ink:[],ind:2,eqconst2:[],probabl:2,again:2,lemon:[],want:2,floor:2,titl:[],when:[2,3],detail:1,power:2,field:[],valid:1,mathemat:[],horizontal_and_vertical_stack:1,test:2,you:[2,1,3],empty_list:[],abnorm:[],draw:2,repeat:2,sequenc:2,introduc:[],testclass:2,drag:2,slice:1,consid:[],throughout:[2,1],reduc:3,final_posit:2,longer:1,furthermor:[],space:2,rule:1,evenli:2,yhat2:[],mass:2,dot:[],time:[],push:2,daili:2,ar_rang:2},objtypes:{},objnames:{},filenames:["credits","julia_tutorial","julia_examples","math","index"],titles:["Credits","LinearLeastSquares.jl Tutorial","LineaLeastSquares.jl Examples","The Math Behind LLS","Welcome to LinearLeastSquares"],objects:{},titleterms:{control:2,"function":1,classif:2,learn:2,constant:1,terribl:[],tomographi:2,tabl:[],linearleastsquar:[4,1],linearli:3,linealeastsquar:2,lsq:[],fluctuat:[],instal:1,affin:1,variabl:1,welcom:4,minim:1,titl:[],sum:1,least:3,find:[],squar:[1,3],trend:[],behind:3,mathemat:[],waypoint:[],basic:[],binari:2,document:[],method:[],math:3,machin:2,process:2,hit:[],linear:[2,1],kalman:[],imag:2,express:1,analysi:2,indic:[],solv:[1,3],lcl:3,model:[],introduct:[],constraint:1,doc:4,quadrat:2,equal:1,exampl:2,filter:[],credit:0,depth:4,tutori:1,time:2,regress:2,constrain:3,seri:2,licens:[],inpait:[]}}) \ No newline at end of file diff --git a/docs/julia_tutorial.rst b/docs/julia_tutorial.rst index 8e9d1e2..2122922 100644 --- a/docs/julia_tutorial.rst +++ b/docs/julia_tutorial.rst @@ -246,7 +246,7 @@ assuming ``x`` has been populated with a value: Often you'll find it useful to first initialize a sum of squares expression to ``0`` and then add on more sum of squares expressions in a for loop. -.. code-block::none +.. code-block:: none error_term = 0 for i in 1:3