证明高斯引理
两个本原多项式的乘积仍为本原多项式.
证明:我先举一个例子来说明这个命题的正确性.设$a_1x+a_0$和$b_1x+b_0$都是本原多项式.
\begin{align*}
(a_1x+a_0)(b_1x+b_0)=a_1b_1x^2+(a_1b_0+a_0b_1)x+a_0b_0
\end{align*}
假设得到的
\begin{align*}
a_1b_1x^2+(a_1b_0+a_0b_1)x+a_0b_0
\end{align*}
不是本原多项式，则
\begin{align*}
a_1b_1,a_1b_0+a_0b_1,a_0b_0
\end{align*}
有不为$\pm 1$的公因数$s$.于是我们有
\begin{align*}
s|a_1b_1
\end{align*}
鉴于$a,b$地位的平等，我们不妨针对$a$.不妨设存在整数$k_1(k_1\neq \pm 1)$,使得$k_1$是$a_1$和$s$的公因数.易得必有
\begin{align*}
k_1|a_0b_1
\end{align*}
显然，$k_1$不能是$a_0$的因数(为什么?因为$a_0$和$a_1$互素)，因此$k_1$只能是$b_1$的因数，但是
\begin{align*}
k_1|a_0b_0
\end{align*}
可见，$k_1$是$b_0$的因数，这与$b_0,b_1$互素矛盾.
我们再来分析一个例子:若$a_2x^2+a_1x+a_0$和$b_2x^2+b_1x+b_0$都是本原多项式，则
\begin{align*}
(a_2x^2+a_1x+a_0)(b_2x^2+b_1x+b_0)
\end{align*}
是本原多项式.
\begin{align*}
(a_2x^2+a_1x+a_0)(b_2x^2+b_1x+b_0)=a_2b_2x^4+(a_2b_1+a_1b_2)x^3+(a_2b_0+a_1b_1+a_0b_2)x^2+(a_1b_0+a_0b_1)x+a_0b_0
\end{align*}
为此我们画树状图帮助分析.如图，树状图的每个分支结束之时，也就是推出矛盾之时.
统统以推出矛盾结束.现在我们来找出一般情形下树状图的规律.对于
\begin{align*}
(a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0)(b_nx^n+b_{n-1}x^{n-1}+\cdots+b_1x+b_0)=\sum_{i=0}^{2n}\sum_{p+q=i}a_pb_qx^i(0\leq
p,q\leq n)
\end{align*}
的树状图，其实是有规律的.为了说明白这些规律，我先定义一些名词.对于一株树的一部分，如图，
View Code
View Code
1 <?xml version="1.0" encoding="UTF-8" standalone="no"?> 2 <!-- Created with Inkscape (http://www.inkscape.org/) --> 3 4 <svg 5 xmlns:ns0="http://www.iki.fi/pav/software/textext/" 6 xmlns:dc="http://purl.org/dc/elements/1.1/" 7 xmlns:cc="http://creativecommons.org/ns#" 8 xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" 9 xmlns:svg="http://www.w3.org/2000/svg" 10 xmlns="http://www.w3.org/2000/svg" 11 xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" 12 xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" 13 width="744.09448819" 14 height="1052.3622047" 15 id="svg2" 16 version="1.1" 17 inkscape:version="0.48.3.1 r9886" 18 sodipodi:docname="New document 1"> 19 <sodipodi:namedview 20 id="base" 21 pagecolor="#ffffff" 22 bordercolor="#666666" 23 borderopacity="1.0" 24 inkscape:pageopacity="0.0" 25 inkscape:pageshadow="2" 26 inkscape:zoom="0.35" 27 inkscape:cx="375" 28 inkscape:cy="-1080" 29 inkscape:document-units="px" 30 inkscape:current-layer="layer1" 31 showgrid="false" 32 inkscape:window-width="1366" 33 inkscape:window-height="744" 34 inkscape:window-x="0" 35 inkscape:window-y="24" 36 inkscape:window-maximized="1" /> 37 <defs 38 id="defs4"> 39 <marker 40 style="overflow:visible;" 41 id="Arrow1Mend" 42 refX="0.0" 43 refY="0.0" 44 orient="auto" 45 inkscape:stockid="Arrow1Mend"> 46 <path 47 transform="scale(0.4) rotate(180) translate(10,0)" 48 style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt;" 49 d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z " 50 id="path5173" /> 51 </marker> 52 </defs> 53 <metadata 54 id="metadata7"> 55 <rdf:RDF> 56 <cc:Work 57 rdf:about=""> 58 <dc:format>image/svg+xml</dc:format> 59 <dc:type 60 rdf:resource="http://purl.org/dc/dcmitype/StillImage" /> 61 <dc:title></dc:title> 62 </cc:Work> 63 </rdf:RDF> 64 </metadata> 65 <g 66 id="layer1" 67 inkscape:groupmode="layer" 68 inkscape:label="Layer 1"> 69 <g 70 ns0:preamble="" 71 ns0:text="$a_2$" 72 word-spacing="normal" 73 letter-spacing="normal" 74 font-size-adjust="none" 75 font-stretch="normal" 76 font-weight="normal" 77 font-variant="normal" 78 font-style="normal" 79 stroke-miterlimit="10.433" 80 xml:space="preserve" 81 transform="matrix(9.01,0,0,-9.01,-3064.8571,8314.6429)" 82 id="content" 83 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 84 <path 85 id="path2991" 86 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 87 inkscape:connector-curvature="0" 88 style="fill:#000000;stroke-width:0" /> 89 <path 90 id="path2993" 91 d="m 232.21,706.9 h -0.23 c -0.02,-0.16 -0.09,-0.57 -0.18,-0.64 -0.06,-0.04 -0.59,-0.04 -0.69,-0.04 h -1.28 c 0.73,0.65 0.97,0.84 1.39,1.17 0.51,0.41 0.99,0.84 0.99,1.5 0,0.84 -0.73,1.36 -1.62,1.36 -0.87,0 -1.45,-0.61 -1.45,-1.25 0,-0.35 0.3,-0.39 0.37,-0.39 0.16,0 0.37,0.12 0.37,0.37 0,0.13 -0.05,0.37 -0.42,0.37 0.22,0.49 0.69,0.65 1.02,0.65 0.7,0 1.06,-0.54 1.06,-1.11 0,-0.6 -0.43,-1.08 -0.66,-1.33 l -1.67,-1.66 c -0.07,-0.06 -0.07,-0.07 -0.07,-0.27 h 2.87 z" 92 inkscape:connector-curvature="0" 93 style="fill:#000000;stroke-width:0" /> 94 </g> <g 95 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 96 ns0:preamble="" 97 ns0:text="$b_2$" 98 word-spacing="normal" 99 letter-spacing="normal" 100 font-size-adjust="none" 101 font-stretch="normal" 102 font-weight="normal" 103 font-variant="normal" 104 font-style="normal" 105 stroke-miterlimit="10.433" 106 xml:space="preserve" 107 transform="matrix(9.01,0,0,-9.01,-2824.8571,8688.9286)" 108 id="g3032"> 109 <path 110 id="path3034" 111 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 112 inkscape:connector-curvature="0" 113 style="fill:#000000;stroke-width:0" /> 114 <path 115 id="path3036" 116 d="m 231.23,706.9 h -0.24 c -0.02,-0.16 -0.09,-0.57 -0.18,-0.64 -0.06,-0.04 -0.6,-0.04 -0.69,-0.04 h -1.28 c 0.73,0.65 0.97,0.84 1.39,1.17 0.51,0.41 1,0.84 1,1.5 0,0.84 -0.74,1.36 -1.63,1.36 -0.87,0 -1.45,-0.61 -1.45,-1.25 0,-0.35 0.3,-0.39 0.37,-0.39 0.16,0 0.36,0.12 0.36,0.37 0,0.13 -0.04,0.37 -0.41,0.37 0.22,0.49 0.69,0.65 1.02,0.65 0.7,0 1.06,-0.54 1.06,-1.11 0,-0.6 -0.43,-1.08 -0.65,-1.33 l -1.68,-1.66 c -0.07,-0.06 -0.07,-0.07 -0.07,-0.27 h 2.87 z" 117 inkscape:connector-curvature="0" 118 style="fill:#000000;stroke-width:0" /> 119 </g> <g 120 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 121 id="g3058" 122 transform="matrix(9.01,0,0,-9.01,-2807.7143,8000.3571)" 123 xml:space="preserve" 124 stroke-miterlimit="10.433" 125 font-style="normal" 126 font-variant="normal" 127 font-weight="normal" 128 font-stretch="normal" 129 font-size-adjust="none" 130 letter-spacing="normal" 131 word-spacing="normal" 132 ns0:text="$a_1$" 133 ns0:preamble=""> 134 <path 135 style="fill:#000000;stroke-width:0" 136 inkscape:connector-curvature="0" 137 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 138 id="path3060" /> 139 <path 140 style="fill:#000000;stroke-width:0" 141 inkscape:connector-curvature="0" 142 d="m 231.03,710.05 0,0.01 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 0,0.01 0,0.01 -0.01,0 0,0.01 -0.01,0.01 0,0 -0.01,0.01 0,0 -0.01,0 -0.01,0.01 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 -0.01,0 c -0.44,-0.44 -1.08,-0.45 -1.36,-0.45 v -0.25 c 0.16,0 0.62,0 1.01,0.2 v -3.55 c 0,-0.23 0,-0.32 -0.7,-0.32 h -0.26 v -0.25 c 0.12,0.01 0.98,0.03 1.24,0.03 0.21,0 1.09,-0.02 1.24,-0.03 v 0.25 h -0.26 c -0.7,0 -0.7,0.09 -0.7,0.32 z" 143 id="path3062" /> 144 </g> <g 145 ns0:preamble="" 146 ns0:text="$a_0$" 147 word-spacing="normal" 148 letter-spacing="normal" 149 font-size-adjust="none" 150 font-stretch="normal" 151 font-weight="normal" 152 font-variant="normal" 153 font-style="normal" 154 stroke-miterlimit="10.433" 155 xml:space="preserve" 156 transform="matrix(9.01,0,0,-9.01,-2444.8571,7797.5)" 157 id="g3090" 158 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 159 <path 160 id="path3092" 161 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 162 inkscape:connector-curvature="0" 163 style="fill:#000000;stroke-width:0" /> 164 <path 165 id="path3094" 166 d="m 232.29,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.22,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.33,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 167 inkscape:connector-curvature="0" 168 style="fill:#000000;stroke-width:0" /> 169 </g> <g 170 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 171 id="g3128" 172 transform="matrix(9.01,0,0,-9.01,-2442,8143.2143)" 173 xml:space="preserve" 174 stroke-miterlimit="10.433" 175 font-style="normal" 176 font-variant="normal" 177 font-weight="normal" 178 font-stretch="normal" 179 font-size-adjust="none" 180 letter-spacing="normal" 181 word-spacing="normal" 182 ns0:text="$b_2$" 183 ns0:preamble=""> 184 <path 185 style="fill:#000000;stroke-width:0" 186 inkscape:connector-curvature="0" 187 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 188 id="path3130" /> 189 <path 190 style="fill:#000000;stroke-width:0" 191 inkscape:connector-curvature="0" 192 d="m 231.23,706.9 h -0.24 c -0.02,-0.16 -0.09,-0.57 -0.18,-0.64 -0.06,-0.04 -0.6,-0.04 -0.69,-0.04 h -1.28 c 0.73,0.65 0.97,0.84 1.39,1.17 0.51,0.41 1,0.84 1,1.5 0,0.84 -0.74,1.36 -1.63,1.36 -0.87,0 -1.45,-0.61 -1.45,-1.25 0,-0.35 0.3,-0.39 0.37,-0.39 0.16,0 0.36,0.12 0.36,0.37 0,0.13 -0.04,0.37 -0.41,0.37 0.22,0.49 0.69,0.65 1.02,0.65 0.7,0 1.06,-0.54 1.06,-1.11 0,-0.6 -0.43,-1.08 -0.65,-1.33 l -1.68,-1.66 c -0.07,-0.06 -0.07,-0.07 -0.07,-0.27 h 2.87 z" 193 id="path3132" /> 194 </g> <g 195 ns0:preamble="" 196 ns0:text="$a_0$" 197 word-spacing="normal" 198 letter-spacing="normal" 199 font-size-adjust="none" 200 font-stretch="normal" 201 font-weight="normal" 202 font-variant="normal" 203 font-style="normal" 204 stroke-miterlimit="10.433" 205 xml:space="preserve" 206 transform="matrix(9.01,0,0,-9.01,-2079.1429,7954.6429)" 207 id="g3172" 208 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 209 <path 210 id="path3174" 211 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 212 inkscape:connector-curvature="0" 213 style="fill:#000000;stroke-width:0" /> 214 <path 215 id="path3176" 216 d="m 232.29,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.22,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.33,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 217 inkscape:connector-curvature="0" 218 style="fill:#000000;stroke-width:0" /> 219 </g> <g 220 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 221 id="g3222" 222 transform="matrix(9.01,0,0,-9.01,-2070.5714,8237.5)" 223 xml:space="preserve" 224 stroke-miterlimit="10.433" 225 font-style="normal" 226 font-variant="normal" 227 font-weight="normal" 228 font-stretch="normal" 229 font-size-adjust="none" 230 letter-spacing="normal" 231 word-spacing="normal" 232 ns0:text="$b_1$" 233 ns0:preamble=""> 234 <path 235 style="fill:#000000;stroke-width:0" 236 inkscape:connector-curvature="0" 237 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 238 id="path3224" /> 239 <path 240 style="fill:#000000;stroke-width:0" 241 inkscape:connector-curvature="0" 242 d="m 230.04,710.05 0,0.01 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 0,0.01 0,0.01 -0.01,0 0,0.01 -0.01,0.01 0,0 -0.01,0.01 0,0 -0.01,0 -0.01,0.01 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 -0.01,0 c -0.44,-0.44 -1.08,-0.45 -1.36,-0.45 v -0.25 c 0.16,0 0.62,0 1.01,0.2 v -3.55 c 0,-0.23 0,-0.32 -0.7,-0.32 h -0.26 v -0.25 c 0.12,0.01 0.98,0.03 1.24,0.03 0.21,0 1.09,-0.02 1.24,-0.03 v 0.25 h -0.26 c -0.7,0 -0.7,0.09 -0.7,0.32 z" 243 id="path3226" /> 244 </g> <g 245 ns0:preamble="" 246 ns0:text="$a_0$" 247 word-spacing="normal" 248 letter-spacing="normal" 249 font-size-adjust="none" 250 font-stretch="normal" 251 font-weight="normal" 252 font-variant="normal" 253 font-style="normal" 254 stroke-miterlimit="10.433" 255 xml:space="preserve" 256 transform="matrix(9.01,0,0,-9.01,-1730.5714,8137.5)" 257 id="g3278" 258 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 259 <path 260 id="path3280" 261 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 262 inkscape:connector-curvature="0" 263 style="fill:#000000;stroke-width:0" /> 264 <path 265 id="path3282" 266 d="m 232.29,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.22,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.33,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 267 inkscape:connector-curvature="0" 268 style="fill:#000000;stroke-width:0" /> 269 </g> <g 270 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 271 id="g3340" 272 transform="matrix(9.01,0,0,-9.01,-1719.1429,8343.2143)" 273 xml:space="preserve" 274 stroke-miterlimit="10.433" 275 font-style="normal" 276 font-variant="normal" 277 font-weight="normal" 278 font-stretch="normal" 279 font-size-adjust="none" 280 letter-spacing="normal" 281 word-spacing="normal" 282 ns0:text="$b_0$" 283 ns0:preamble=""> 284 <path 285 style="fill:#000000;stroke-width:0" 286 inkscape:connector-curvature="0" 287 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 288 id="path3342" /> 289 <path 290 style="fill:#000000;stroke-width:0" 291 inkscape:connector-curvature="0" 292 d="m 231.3,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.21,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.32,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 293 id="path3344" /> 294 </g> <g 295 ns0:preamble="" 296 ns0:text="$a_1$" 297 word-spacing="normal" 298 letter-spacing="normal" 299 font-size-adjust="none" 300 font-stretch="normal" 301 font-weight="normal" 302 font-variant="normal" 303 font-style="normal" 304 stroke-miterlimit="10.433" 305 xml:space="preserve" 306 transform="matrix(9.01,0,0,-9.01,-2436.2857,8528.9286)" 307 id="g3408" 308 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 309 <path 310 id="path3410" 311 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 312 inkscape:connector-curvature="0" 313 style="fill:#000000;stroke-width:0" /> 314 <path 315 id="path3412" 316 d="m 231.03,710.05 0,0.01 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 0,0.01 0,0.01 -0.01,0 0,0.01 -0.01,0.01 0,0 -0.01,0.01 0,0 -0.01,0 -0.01,0.01 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 -0.01,0 c -0.44,-0.44 -1.08,-0.45 -1.36,-0.45 v -0.25 c 0.16,0 0.62,0 1.01,0.2 v -3.55 c 0,-0.23 0,-0.32 -0.7,-0.32 h -0.26 v -0.25 c 0.12,0.01 0.98,0.03 1.24,0.03 0.21,0 1.09,-0.02 1.24,-0.03 v 0.25 h -0.26 c -0.7,0 -0.7,0.09 -0.7,0.32 z" 317 inkscape:connector-curvature="0" 318 style="fill:#000000;stroke-width:0" /> 319 </g> <g 320 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 321 id="g3482" 322 transform="matrix(9.01,0,0,-9.01,-2433.4285,8971.7857)" 323 xml:space="preserve" 324 stroke-miterlimit="10.433" 325 font-style="normal" 326 font-variant="normal" 327 font-weight="normal" 328 font-stretch="normal" 329 font-size-adjust="none" 330 letter-spacing="normal" 331 word-spacing="normal" 332 ns0:text="$b_1$" 333 ns0:preamble=""> 334 <path 335 style="fill:#000000;stroke-width:0" 336 inkscape:connector-curvature="0" 337 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 338 id="path3484" /> 339 <path 340 style="fill:#000000;stroke-width:0" 341 inkscape:connector-curvature="0" 342 d="m 230.04,710.05 0,0.01 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 0,0.01 0,0.01 -0.01,0 0,0.01 -0.01,0.01 0,0 -0.01,0.01 0,0 -0.01,0 -0.01,0.01 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 -0.01,0 c -0.44,-0.44 -1.08,-0.45 -1.36,-0.45 v -0.25 c 0.16,0 0.62,0 1.01,0.2 v -3.55 c 0,-0.23 0,-0.32 -0.7,-0.32 h -0.26 v -0.25 c 0.12,0.01 0.98,0.03 1.24,0.03 0.21,0 1.09,-0.02 1.24,-0.03 v 0.25 h -0.26 c -0.7,0 -0.7,0.09 -0.7,0.32 z" 343 id="path3486" /> 344 </g> <g 345 ns0:preamble="" 346 ns0:text="$a_0$" 347 word-spacing="normal" 348 letter-spacing="normal" 349 font-size-adjust="none" 350 font-stretch="normal" 351 font-weight="normal" 352 font-variant="normal" 353 font-style="normal" 354 stroke-miterlimit="10.433" 355 xml:space="preserve" 356 transform="matrix(9.01,0,0,-9.01,-2082,8411.7857)" 357 id="g3562" 358 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 359 <path 360 id="path3564" 361 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 362 inkscape:connector-curvature="0" 363 style="fill:#000000;stroke-width:0" /> 364 <path 365 id="path3566" 366 d="m 232.29,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.22,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.33,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 367 inkscape:connector-curvature="0" 368 style="fill:#000000;stroke-width:0" /> 369 </g> <g 370 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 371 id="g3648" 372 transform="matrix(9.01,0,0,-9.01,-2070.5714,8646.0714)" 373 xml:space="preserve" 374 stroke-miterlimit="10.433" 375 font-style="normal" 376 font-variant="normal" 377 font-weight="normal" 378 font-stretch="normal" 379 font-size-adjust="none" 380 letter-spacing="normal" 381 word-spacing="normal" 382 ns0:text="$b_1$" 383 ns0:preamble=""> 384 <path 385 style="fill:#000000;stroke-width:0" 386 inkscape:connector-curvature="0" 387 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 388 id="path3650" /> 389 <path 390 style="fill:#000000;stroke-width:0" 391 inkscape:connector-curvature="0" 392 d="m 230.04,710.05 0,0.01 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 0,0.01 0,0.01 -0.01,0 0,0.01 -0.01,0.01 0,0 -0.01,0.01 0,0 -0.01,0 -0.01,0.01 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 -0.01,0 c -0.44,-0.44 -1.08,-0.45 -1.36,-0.45 v -0.25 c 0.16,0 0.62,0 1.01,0.2 v -3.55 c 0,-0.23 0,-0.32 -0.7,-0.32 h -0.26 v -0.25 c 0.12,0.01 0.98,0.03 1.24,0.03 0.21,0 1.09,-0.02 1.24,-0.03 v 0.25 h -0.26 c -0.7,0 -0.7,0.09 -0.7,0.32 z" 393 id="path3652" /> 394 </g> <g 395 ns0:preamble="" 396 ns0:text="$a_0$" 397 word-spacing="normal" 398 letter-spacing="normal" 399 font-size-adjust="none" 400 font-stretch="normal" 401 font-weight="normal" 402 font-variant="normal" 403 font-style="normal" 404 stroke-miterlimit="10.433" 405 xml:space="preserve" 406 transform="matrix(9.01,0,0,-9.01,-1733.4286,8560.3571)" 407 id="g3740" 408 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 409 <path 410 id="path3742" 411 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 412 inkscape:connector-curvature="0" 413 style="fill:#000000;stroke-width:0" /> 414 <path 415 id="path3744" 416 d="m 232.29,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.22,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.33,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 417 inkscape:connector-curvature="0" 418 style="fill:#000000;stroke-width:0" /> 419 </g> <g 420 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 421 id="g3838" 422 transform="matrix(9.01,0,0,-9.01,-1722,8734.6429)" 423 xml:space="preserve" 424 stroke-miterlimit="10.433" 425 font-style="normal" 426 font-variant="normal" 427 font-weight="normal" 428 font-stretch="normal" 429 font-size-adjust="none" 430 letter-spacing="normal" 431 word-spacing="normal" 432 ns0:text="$b_0$" 433 ns0:preamble=""> 434 <path 435 style="fill:#000000;stroke-width:0" 436 inkscape:connector-curvature="0" 437 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 438 id="path3840" /> 439 <path 440 style="fill:#000000;stroke-width:0" 441 inkscape:connector-curvature="0" 442 d="m 231.3,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.21,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.32,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 443 id="path3842" /> 444 </g> <g 445 ns0:preamble="" 446 ns0:text="$a_1$" 447 word-spacing="normal" 448 letter-spacing="normal" 449 font-size-adjust="none" 450 font-stretch="normal" 451 font-weight="normal" 452 font-variant="normal" 453 font-style="normal" 454 stroke-miterlimit="10.433" 455 xml:space="preserve" 456 transform="matrix(9.01,0,0,-9.01,-2044.8572,8868.9287)" 457 id="g3942" 458 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 459 <path 460 id="path3944" 461 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 462 inkscape:connector-curvature="0" 463 style="fill:#000000;stroke-width:0" /> 464 <path 465 id="path3946" 466 d="m 231.03,710.05 0,0.01 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0.01 0,0 0,0.01 0,0.01 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 0,0.01 0,0.01 -0.01,0 0,0.01 -0.01,0.01 0,0 -0.01,0.01 0,0 -0.01,0 -0.01,0.01 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 0,0 -0.01,0 -0.01,0 -0.01,0 -0.01,0 c -0.44,-0.44 -1.08,-0.45 -1.36,-0.45 v -0.25 c 0.16,0 0.62,0 1.01,0.2 v -3.55 c 0,-0.23 0,-0.32 -0.7,-0.32 h -0.26 v -0.25 c 0.12,0.01 0.98,0.03 1.24,0.03 0.21,0 1.09,-0.02 1.24,-0.03 v 0.25 h -0.26 c -0.7,0 -0.7,0.09 -0.7,0.32 z" 467 inkscape:connector-curvature="0" 468 style="fill:#000000;stroke-width:0" /> 469 </g> <g 470 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 471 id="g4052" 472 transform="matrix(9.01,0,0,-9.01,-2070.5715,9223.2143)" 473 xml:space="preserve" 474 stroke-miterlimit="10.433" 475 font-style="normal" 476 font-variant="normal" 477 font-weight="normal" 478 font-stretch="normal" 479 font-size-adjust="none" 480 letter-spacing="normal" 481 word-spacing="normal" 482 ns0:text="$b_0$" 483 ns0:preamble=""> 484 <path 485 style="fill:#000000;stroke-width:0" 486 inkscape:connector-curvature="0" 487 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 488 id="path4054" /> 489 <path 490 style="fill:#000000;stroke-width:0" 491 inkscape:connector-curvature="0" 492 d="m 231.3,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.21,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.32,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 493 id="path4056" /> 494 </g> <g 495 ns0:preamble="" 496 ns0:text="$a_0$" 497 word-spacing="normal" 498 letter-spacing="normal" 499 font-size-adjust="none" 500 font-stretch="normal" 501 font-weight="normal" 502 font-variant="normal" 503 font-style="normal" 504 stroke-miterlimit="10.433" 505 xml:space="preserve" 506 transform="matrix(9.01,0,0,-9.01,-1733.4286,8837.5)" 507 id="g4168" 508 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 509 <path 510 id="path4170" 511 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 512 inkscape:connector-curvature="0" 513 style="fill:#000000;stroke-width:0" /> 514 <path 515 id="path4172" 516 d="m 232.29,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.22,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.33,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 517 inkscape:connector-curvature="0" 518 style="fill:#000000;stroke-width:0" /> 519 </g> <g 520 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 521 id="g4290" 522 transform="matrix(9.01,0,0,-9.01,-1730.5714,9023.2143)" 523 xml:space="preserve" 524 stroke-miterlimit="10.433" 525 font-style="normal" 526 font-variant="normal" 527 font-weight="normal" 528 font-stretch="normal" 529 font-size-adjust="none" 530 letter-spacing="normal" 531 word-spacing="normal" 532 ns0:text="$b_0$" 533 ns0:preamble=""> 534 <path 535 style="fill:#000000;stroke-width:0" 536 inkscape:connector-curvature="0" 537 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 538 id="path4292" /> 539 <path 540 style="fill:#000000;stroke-width:0" 541 inkscape:connector-curvature="0" 542 d="m 231.3,707.85 0,0.14 0,0.14 -0.01,0.13 -0.01,0.12 -0.01,0.13 -0.01,0.12 -0.02,0.11 -0.02,0.11 -0.03,0.11 -0.03,0.11 -0.03,0.1 -0.04,0.1 -0.04,0.1 -0.05,0.09 -0.05,0.1 -0.03,0.04 -0.03,0.05 c -0.21,0.32 -0.65,0.6 -1.2,0.6 v -0.2 c 0.37,0 0.73,-0.23 0.86,-0.63 0.11,-0.38 0.12,-0.88 0.12,-1.48 0,-0.52 0,-1.03 -0.09,-1.47 -0.14,-0.63 -0.62,-0.78 -0.89,-0.78 h 0 c -0.32,0 -0.75,0.18 -0.89,0.76 -0.1,0.4 -0.1,0.97 -0.1,1.49 0,0.51 0,1.04 0.11,1.42 0.15,0.55 0.59,0.69 0.88,0.69 v 0.2 c -1.62,0 -1.62,-1.9 -1.62,-2.4 0,-0.5 0,-2.36 1.62,-2.36 1.61,0 1.61,1.86 1.61,2.36 z" 543 id="path4294" /> 544 </g> <path 545 inkscape:connector-curvature="0" 546 id="path4356" 547 d="m -965.71429,1898.0765 182.85715,-242.8572" 548 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 549 <path 550 inkscape:connector-curvature="0" 551 id="path4358" 552 d="m -968.57143,1975.2193 151.42857,265.7143" 553 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 554 <path 555 inkscape:connector-curvature="0" 556 id="path4360" 557 d="m -688.57143,1578.0765 265.71429,-140" 558 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 559 <path 560 inkscape:connector-curvature="0" 561 id="path4362" 562 d="m -705.71429,1646.6479 240,111.4286" 563 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 564 <path 565 inkscape:connector-curvature="0" 566 id="path4364" 567 d="M -340,1715.2193 -88.571429,1580.9336" 568 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 569 <path 570 inkscape:connector-curvature="0" 571 id="path4366" 572 d="m -325.71429,1778.0765 242.857147,62.8571" 573 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 574 <path 575 inkscape:connector-curvature="0" 576 id="path4368" 577 d="M 42.857143,1812.3622 248.57143,1758.0765" 578 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 579 <path 580 inkscape:connector-curvature="0" 581 id="path4370" 582 d="m 40,1863.7908 208.57143,74.2857" 583 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 584 <path 585 inkscape:connector-curvature="0" 586 id="path4372" 587 d="M -711.42857,2303.7908 -437.14286,2169.505" 588 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 589 <path 590 inkscape:connector-curvature="0" 591 id="path4374" 592 d="m -700,2320.9336 248.57143,188.5714" 593 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 594 <path 595 inkscape:connector-curvature="0" 596 id="path4376" 597 d="m -325.71429,2129.505 237.142861,-82.8571" 598 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 599 <path 600 inkscape:connector-curvature="0" 601 id="path4378" 602 d="m -320,2166.6479 237.142857,80" 603 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 604 <path 605 inkscape:connector-curvature="0" 606 id="path4380" 607 d="m 40,2235.2193 225.71429,-54.2857" 608 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 609 <path 610 inkscape:connector-curvature="0" 611 id="path4382" 612 d="m 60,2275.2193 194.28571,82.8572" 613 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 614 <path 615 inkscape:connector-curvature="0" 616 id="path4384" 617 d="m -314.28571,2575.2193 257.142853,-71.4285" 618 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 619 <path 620 inkscape:connector-curvature="0" 621 id="path4386" 622 d="m -320,2618.0765 220,185.7143" 623 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 624 <path 625 inkscape:connector-curvature="0" 626 id="path4388" 627 d="M 54.285714,2489.505 262.85714,2452.3622" 628 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 629 <path 630 inkscape:connector-curvature="0" 631 id="path4390" 632 d="m 74.285714,2523.7908 162.857146,77.1428" 633 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" /> 634 <g 635 ns0:preamble="" 636 ns0:text="$p$" 637 word-spacing="normal" 638 letter-spacing="normal" 639 font-size-adjust="none" 640 font-stretch="normal" 641 font-weight="normal" 642 font-variant="normal" 643 font-style="normal" 644 stroke-miterlimit="10.433" 645 xml:space="preserve" 646 transform="matrix(9.01,0,0,-9.01,-887.71429,8214.6429)" 647 id="g5686" 648 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 649 <path 650 id="path5688" 651 d="m 223.88,705.91 -0.01,-0.03 0,-0.03 -0.01,-0.03 -0.01,-0.02 0,-0.03 -0.01,-0.02 -0.01,-0.02 -0.01,-0.02 0,-0.02 -0.01,-0.02 -0.01,-0.02 -0.01,-0.01 -0.01,-0.02 -0.01,-0.01 -0.01,-0.02 -0.01,-0.01 -0.02,-0.01 -0.01,-0.01 -0.02,-0.01 -0.02,0 -0.02,-0.01 -0.02,-0.01 -0.02,0 -0.02,-0.01 -0.03,0 -0.02,-0.01 -0.02,0 -0.01,0 -0.02,0 -0.01,0 -0.02,0 -0.02,0 -0.01,0 -0.02,0 -0.02,0 -0.02,0 -0.02,0 -0.02,0 c -0.12,0 -0.23,0 -0.23,-0.19 0,-0.08 0.05,-0.12 0.13,-0.12 0.27,0 0.56,0.03 0.84,0.03 0.33,0 0.66,-0.03 0.98,-0.03 0.05,0 0.18,0 0.18,0.2 0,0.11 -0.1,0.11 -0.24,0.11 -0.49,0 -0.49,0.07 -0.49,0.15 0,0.12 0.41,1.74 0.48,1.99 0.13,-0.29 0.41,-0.63 0.92,-0.63 l -0.01,0.21 c -0.66,0 -0.79,0.83 -0.79,0.89 0,0.02 0,0.04 0.03,0.16 l 0.49,1.94 c 0.07,0.27 0.34,0.55 0.52,0.7 0.35,0.31 0.64,0.38 0.8,0.38 0.4,0 0.64,-0.35 0.64,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.34,-0.7 -0.81,-1.03 -1.18,-1.03 l 0.01,-0.21 c 1.15,0 2.4,1.45 2.4,2.91 0,0.93 -0.57,1.59 -1.33,1.59 -0.49,0 -0.97,-0.36 -1.3,-0.75 -0.1,0.54 -0.53,0.75 -0.89,0.75 -0.46,0 -0.65,-0.39 -0.74,-0.57 -0.18,-0.34 -0.31,-0.93 -0.31,-0.96 0,-0.1 0.1,-0.1 0.12,-0.1 0.1,0 0.11,0.01 0.17,0.22 0.17,0.71 0.37,1.19 0.73,1.19 0.16,0 0.3,-0.08 0.3,-0.46 0,-0.23 -0.03,-0.34 -0.07,-0.51 z" 652 inkscape:connector-curvature="0" 653 style="fill:#000000;stroke-width:0" /> 654 </g> <g 655 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 656 id="g5856" 657 transform="matrix(9.01,0,0,-9.01,-533.42857,7974.6429)" 658 xml:space="preserve" 659 stroke-miterlimit="10.433" 660 font-style="normal" 661 font-variant="normal" 662 font-weight="normal" 663 font-stretch="normal" 664 font-size-adjust="none" 665 letter-spacing="normal" 666 word-spacing="normal" 667 ns0:text="$m$" 668 ns0:preamble=""> 669 <path 670 style="fill:#000000;stroke-width:0" 671 inkscape:connector-curvature="0" 672 d="m 224.31,707.71 0,-0.01 -0.01,-0.02 0,-0.01 0,-0.02 -0.01,-0.03 -0.01,-0.03 -0.01,-0.03 0,-0.04 -0.01,-0.03 -0.01,-0.03 0,-0.01 -0.01,-0.02 0,-0.01 0,-0.02 0,-0.01 -0.01,-0.01 0,-0.02 0,-0.01 0,-0.01 -0.01,-0.01 0,-0.01 0,-0.01 0,-0.01 0,0 0,-0.01 0,-0.01 c 0,-0.18 0.14,-0.26 0.29,-0.26 0.12,0 0.29,0.07 0.37,0.27 0,0.02 0.12,0.49 0.18,0.74 l 0.22,0.89 c 0.06,0.22 0.12,0.44 0.17,0.67 0.04,0.17 0.12,0.46 0.13,0.5 0.15,0.3 0.68,1.21 1.62,1.21 0.45,0 0.54,-0.37 0.54,-0.7 0,-0.25 -0.07,-0.52 -0.15,-0.82 l -0.28,-1.16 -0.2,-0.75 c -0.04,-0.2 -0.13,-0.54 -0.13,-0.59 0,-0.18 0.14,-0.26 0.29,-0.26 0.31,0 0.37,0.24 0.45,0.56 0.14,0.56 0.51,2.01 0.6,2.4 0.03,0.12 0.55,1.32 1.64,1.32 0.43,0 0.54,-0.34 0.54,-0.7 0,-0.56 -0.42,-1.7 -0.62,-2.22 -0.09,-0.24 -0.13,-0.35 -0.13,-0.55 0,-0.47 0.35,-0.81 0.82,-0.81 0.93,0 1.3,1.45 1.3,1.53 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.1,-0.04 -0.15,-0.18 -0.15,-0.53 -0.47,-1.24 -1.01,-1.24 -0.17,0 -0.24,0.1 -0.24,0.33 0,0.25 0.09,0.49 0.18,0.71 0.18,0.51 0.6,1.62 0.6,2.18 0,0.65 -0.39,1.07 -1.14,1.07 -0.75,0 -1.25,-0.44 -1.62,-0.97 -0.01,0.13 -0.04,0.47 -0.32,0.71 -0.25,0.21 -0.57,0.26 -0.82,0.26 -0.89,0 -1.38,-0.64 -1.55,-0.87 -0.05,0.57 -0.47,0.87 -0.92,0.87 -0.45,0 -0.64,-0.39 -0.73,-0.57 -0.18,-0.35 -0.31,-0.93 -0.31,-0.96 0,-0.1 0.1,-0.1 0.12,-0.1 0.1,0 0.11,0.01 0.17,0.22 0.17,0.71 0.37,1.19 0.73,1.19 0.16,0 0.3,-0.08 0.3,-0.46 0,-0.21 -0.03,-0.32 -0.16,-0.83 z" 673 id="path5858" /> 674 </g> <g 675 ns0:preamble="" 676 ns0:text="$a$" 677 word-spacing="normal" 678 letter-spacing="normal" 679 font-size-adjust="none" 680 font-stretch="normal" 681 font-weight="normal" 682 font-variant="normal" 683 font-style="normal" 684 stroke-miterlimit="10.433" 685 xml:space="preserve" 686 transform="matrix(9.01,0,0,-9.01,-516.28571,8483.2143)" 687 id="g6030" 688 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 689 <path 690 id="path6032" 691 d="m 227.14,710.88 -0.01,0.03 -0.02,0.04 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.03 -0.02,0.03 -0.02,0.03 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.02,0.03 -0.03,0.02 -0.03,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.02 -0.03,0.01 -0.03,0.02 -0.04,0.01 -0.03,0.01 -0.04,0.01 -0.03,0.01 -0.04,0 -0.04,0.01 -0.04,0 -0.04,0.01 -0.04,0 c -1.17,0 -2.4,-1.47 -2.4,-2.92 0,-0.93 0.55,-1.58 1.32,-1.58 l 0.02,0.21 c -0.49,0 -0.63,0.55 -0.63,0.94 0,0.49 0.31,1.72 0.54,2.17 0.31,0.59 0.76,0.96 1.16,0.96 0.64,0 0.78,-0.82 0.78,-0.88 0,-0.06 -0.02,-0.12 -0.03,-0.17 l -0.49,-1.94 c -0.05,-0.18 -0.05,-0.2 -0.2,-0.37 -0.44,-0.55 -0.85,-0.71 -1.13,-0.71 l -0.02,-0.21 c 0.2,0 0.7,0.03 1.3,0.74 0.08,-0.42 0.42,-0.74 0.9,-0.74 0.35,0 0.58,0.22 0.74,0.54 0.17,0.36 0.3,0.97 0.3,0.99 0,0.1 -0.09,0.1 -0.12,0.1 -0.1,0 -0.11,-0.05 -0.14,-0.18 -0.17,-0.65 -0.35,-1.24 -0.76,-1.24 -0.27,0 -0.3,0.26 -0.3,0.46 0,0.22 0.02,0.3 0.13,0.74 0.11,0.41 0.13,0.51 0.22,0.89 l 0.36,1.39 c 0.07,0.28 0.07,0.3 0.07,0.34 0,0.17 -0.12,0.27 -0.29,0.27 -0.24,0 -0.39,-0.22 -0.42,-0.44 z" 692 inkscape:connector-curvature="0" 693 style="fill:#000000;stroke-width:0" /> 694 </g> <g 695 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" 696 id="g6208" 697 transform="matrix(9.01,0,0,-9.01,-153.42857,8346.0714)" 698 xml:space="preserve" 699 stroke-miterlimit="10.433" 700 font-style="normal" 701 font-variant="normal" 702 font-weight="normal" 703 font-stretch="normal" 704 font-size-adjust="none" 705 letter-spacing="normal" 706 word-spacing="normal" 707 ns0:text="$b$" 708 ns0:preamble=""> 709 <path 710 style="fill:#000000;stroke-width:0" 711 inkscape:connector-curvature="0" 712 d="m 225.81,713.91 0,0 0,0 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0.01 0,0 -0.01,0 0,0.01 0,0 0,0.01 0,0 -0.01,0.01 0,0 0,0.01 -0.01,0 0,0.01 0,0 -0.01,0 0,0 0,0.01 -0.01,0 0,0 0,0 0,0 -0.01,0.01 0,0 -0.01,0 0,0 0,0 -0.01,0 0,0 -0.01,0 0,0.01 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 0,0 -0.01,0 c -0.23,0 -0.95,-0.08 -1.21,-0.1 -0.08,-0.01 -0.19,-0.02 -0.19,-0.2 0,-0.12 0.09,-0.12 0.24,-0.12 0.47,0 0.49,-0.07 0.49,-0.17 0,-0.07 -0.09,-0.4 -0.13,-0.61 l -0.82,-3.24 c -0.12,-0.5 -0.16,-0.66 -0.16,-1 0,-0.95 0.53,-1.56 1.26,-1.56 v 0.21 c -0.34,0 -0.66,0.27 -0.66,1.01 0,0.19 0,0.37 0.16,1 l 0.22,0.92 c 0.05,0.21 0.05,0.23 0.14,0.34 0.49,0.65 0.94,0.8 1.2,0.8 0.36,0 0.63,-0.3 0.63,-0.94 0,-0.58 -0.33,-1.72 -0.51,-2.1 -0.33,-0.67 -0.79,-1.03 -1.18,-1.03 v -0.21 c 1.18,0 2.4,1.48 2.4,2.91 0,0.9 -0.53,1.59 -1.32,1.59 -0.46,0 -0.87,-0.29 -1.17,-0.6 z" 713 id="path6210" /> 714 </g> <g 715 ns0:preamble="" 716 ns0:text="$c$" 717 word-spacing="normal" 718 letter-spacing="normal" 719 font-size-adjust="none" 720 font-stretch="normal" 721 font-weight="normal" 722 font-variant="normal" 723 font-style="normal" 724 stroke-miterlimit="10.433" 725 xml:space="preserve" 726 transform="matrix(9.01,0,0,-9.01,-156.28571,8674.6429)" 727 id="g6390" 728 style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"> 729 <path 730 id="path6392" 731 d="m 227.37,710.9 -0.03,0 -0.03,0 -0.03,0 -0.02,0 -0.03,0 -0.03,-0.01 -0.01,0 -0.02,0 -0.01,0 -0.01,-0.01 -0.02,0 -0.01,0 -0.01,-0.01 -0.02,0 -0.01,-0.01 -0.01,-0.01 -0.02,0 -0.01,-0.01 -0.01,-0.01 -0.02,0 -0.01,-0.01 -0.01,-0.01 -0.02,-0.01 -0.01,-0.01 -0.01,-0.02 -0.02,-0.01 c -0.16,-0.15 -0.17,-0.32 -0.17,-0.39 0,-0.23 0.17,-0.34 0.36,-0.34 0.29,0 0.56,0.23 0.56,0.63 0,0.49 -0.47,0.86 -1.17,0.86 -1.35,0 -2.67,-1.43 -2.67,-2.83 0,-0.89 0.58,-1.67 1.61,-1.67 1.42,0 2.26,1.05 2.26,1.17 0,0.06 -0.06,0.13 -0.12,0.13 -0.05,0 -0.07,-0.02 -0.13,-0.1 -0.78,-0.99 -1.87,-0.99 -1.99,-0.99 -0.62,0 -0.89,0.49 -0.89,1.09 0,0.4 0.19,1.37 0.53,1.98 0.31,0.57 0.86,1 1.41,1 0.33,0 0.71,-0.13 0.85,-0.4 z" 732 inkscape:connector-curvature="0" 733 style="fill:#000000;stroke-width:0" /> 734 </g> <path 735 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" 736 d="M 1214.2857,1818.0765 1465.7143,1629.505" 737 id="path6484" 738 inkscape:connector-curvature="0" /> 739 <path 740 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" 741 d="m 1214.2857,1878.0765 274.2857,185.7143" 742 id="path6486" 743 inkscape:connector-curvature="0" /> 744 <path 745 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" 746 d="m 1542.8571,2078.0765 305.7143,-91.4286" 747 id="path6488" 748 inkscape:connector-curvature="0" /> 749 <path 750 style="fill:none;stroke:#000000;stroke-width:17.71653543;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)" 751 d="m 1574.2857,2126.6479 254.2857,134.2857" 752 id="path6490" 753 inkscape:connector-curvature="0" /> 754 </g> 755 </svg>
我们把如图这株树叫三层树,因为包含了三代.而且，我们把$p\to m,p\to a\to b,p\to a\to c$都叫做这株树的一个枝丫.
对于
\begin{align*}
(a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0)(b_nx^n+b_{n-1}x^{n-1}+\cdots+b_1x+b_0)=\sum_{i=0}^{2n}\sum_{p+q=i}a_pb_qx^i(0\leq
p,q\leq n)
\end{align*}
形成的树来说，容易验证有以下规律:
1.该株树里任意一个枝丫里的同一类型的字母(同$a$或同$b$)的下标是递降的.
2.该树是$2n+1$层树.
3.$a_0$或$b_0$的出现标志着矛盾的出现，也就是一株树的终结.而且每个枝丫必定以$a_0$或$b_0$终结.
现在，
\begin{align*}
(a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0)(b_nx^n+b_{n-1}x^{n-1}+\cdots+b_1x+b_0)=\sum_{i=0}^{2n}\sum_{p+q=i}a_pb_qx^i(0\leq
p,q\leq n)
\end{align*}
所对应的树的一个枝丫里最多有$2n+1$个字母，而$a_i(1\leq i\leq n)$有$n$个，$b_i$也有$n$个，所以即使是字母最多的枝丫，还得留下一个空位给$a_0$或$b_0$,无论是填$a_0$还是$b_0$,都是以矛盾的形式出现.而其它比$2n+1$枝丫短的枝丫早早就以$a_0$结尾而结束了.
附:多项式乘法中体现出来的递推规律
以多项式$a_2x^2+a_1x+a_0$与$b_2x^2+b_1x+b_0$相乘为例:
\begin{align*}
(a_2x^2+a_1x+a_0)(b_2x^2+b_1x+b_0)=a_2b_2x^4+(a_2b_1+a_1b_2)x^3+(a_2b_0+a_1b_1+a_0b_2)x^2+(a_1b_0+a_0b_1)x+a_0b_0
\end{align*}
我们发现，相乘得到的结果呈现出一种对称的形式:$x^4$项的系数和常数项的系数呈现出一样的形式，只不过$x^4$的系数下标大$2=\frac{4-0}{2}$.$x^3$的系数和$x$的系数形式也是一样的，只不过$x^3$的系数下标比$x$的系数下标大$\frac{3-1}{2}$.$x^2$的系数在中间.有了这个规律，我们只要知道常数项系数，$x$项系数，$x^2$项系数，就知道了乘出来的多项式的状况.下面我们看系数
\begin{align*}
a_0b_0,a_1b_0+a_0b_1,a_2b_0+a_1b_1+a_0b_2
\end{align*}
这三个系数里蕴含了一种递推关系.当我们令$a_0=0$,再将$a_1,a_2$的下标减去1时，变为
\begin{align*}
0,a_0b_0,a_1b_0+a_0b_1
\end{align*}
读者有没有发现，$a_0b_0,a_1b_0+a_0b_1$正好是
\begin{align*}
a_0b_0,a_1b_0+a_0b_1,a_2b_0+a_1b_1+a_0b_2
\end{align*}
的前两项.我们再让$a_0$为0，$a_1$的下标减去1，则
\begin{align*}
0,a_0b_0,a_1b_0+a_0b_1
\end{align*}变为
\begin{align*}
0,0,a_0b_0
\end{align*}
我们发现，$a_0b_0$正好是
\begin{align*}
0,a_0b_0,a_1b_0+a_0b_1
\end{align*}
的第一个非零项.这就是一种递推规律.
