LEFT:[[aboutPP>aboutPP_en]]
CENTER:[[PP>PP_en]]
RIGHT:[[User's Guide>users_guide_en]]~
&br;&br;

&aname(PP_top);
RIGHT:&size(30){About PP window};~
&br;&br;


-&size(15){[[How to display time evolutions of solutions as a waveform>aboutPP_window_en#pp_show_wave]]};
-&size(15){[[How to change the phase plane of the phase portrait to be drawn>aboutPP_window_en#pp_change_win]]};
-&size(15){[[How to fix the draw range (stop auto scale)>aboutPP_window_en#pp_stop_scale]]};
-&size(15){[[How to add the draw window>aboutPP_window_en#pp_add_window]]};
-&size(15){[[How to change the line width>aboutPP_window_en#pp_change_size_line]]};
-&size(15){[[How to change the point size>aboutPP_window_en#pp_change_size_point]]};
-&size(15){[[How to change the color of lines/points in a figure>aboutPP_window_en#pp_change_color]]};~
&br;&br;


&aname(pp_show_wave);
LEFT:&size(20){''How to display time evolutions of solutions as a waveform''};
----
To show time evolutions of the solutions as waveform, only the x-axis and y-axis in the drawing window have to be changed. The steps for this procedure are given below.
//時間波形を表示するには,描画 window の x 軸,y 軸を時間波形用に変更するだけでよい.その手順は以下の様になっている.

+ Select ''Setting'' -> ''Window''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start.png);~
&br;
+ Start up ''Window option''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start2.png);~
&br;
+ Select ''t'' as ''X-axis''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=waveform1.png);~
&br;
+ Select a state variable as ''Y-axis''. ~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=waveform2.png);~
&br;
+If the end of time of the time evolution gives((In the default configuration, the X-axis is always updated due to the auto scale function.))((For fixing the draw range, see [[How to fix the draw range (stop auto scale)>aboutPP_window_en#pp_stop_scale]])), then checks the ''range'' and inputs the start and the end of times.~
//もし,表示する時間範囲を指定したければ((Default 設定では,時間軸は auto scale により,常に更新されていく.))((描画範囲を固定するには,[[描画範囲を固定する(auto scale を停止する)には?>aboutPP_window#pp_stop_scale]]も参照.)),''range'' にチェックを入れ,開始と終了の時間を入力する.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=waveform3.png);~
&br;
+Display the time evolution of the solution as a waveformx on the draw window.~
//x 軸に時間をとった Window 上で時系列が表示される.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=waveform4.png);
&br;

&br;&br;
CENTER:[[To Page Top>aboutPP_window_en#PP_top]]~
&br;&br;


&aname(pp_change_win);
LEFT:&size(20){''How to change the phase plane of the phase portrait to be drawn''};
----
In the case that PP tool is started up immediately after PP tool produced, the state variables x[1] and x[2] are, respectively, selected as X- and Y-axes to draw the orbit of the solution in the phase portrait. 
//PP 生成直後に PP を起動した場合,解軌道を描画する位相平面には,状態変数 x[1], x[2] がそれぞれ x 軸, y 軸として選ばれる.

How to change the phase plane of the phase portrait to be drawn are given below.
//位相平面として表示する状態変数を変更するには,次のようにすれば良い.

+ Select ''Setting'' -> ''Window''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start.png);~
&br;
+ Start up ''Window option''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start2.png);~
&br;
+ Select a state variable in the pull down menu as ''X-axis''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=plane.png);~
&br;
+ Select a state variable in the pull down menu as ''Y-axis''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=plane2.png);~
&br;
+If the range of the draw window evolution fixes((In the default configuration, the X- and Y-axes are always updated due to the auto scale function.))((For fixing the draw range, see [[How to fix the draw range (stop auto scale)>aboutPP_window_en#pp_stop_scale]])), then checks the ''range'' and inputs the minimum and the maximum values of the ranges.
//もし,表示する範囲を指定したければ((Default 設定では,x 軸,y 軸は auto scale により,描画が常に Window 内に表示されるように自動で更新されていく.))((描画範囲を固定するには,[[描画範囲を固定する(auto scale を停止する)には?>aboutPP_window#pp_stop_scale]]も参照.)),''range'' にチェックを入れ,描画範囲の最小値と最大値を入力する.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=plane3.png);~
&br;
+ The phase portrait to be drawn can be changed. The following example shows the draw window from the (x[1],x[2])-phase plane to the (x[3],x[4])-phase plane.
//これで描画する位相平面が変更できる.以下は (x[1],x[2]) 平面から (x[3],x[4]) 位相平面へ描画 window を切替えた様子を示している.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=plane4.png);~
&br;
(a) Default configuration~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=plane5.png);~
&br;
(b) Changes from (x[1],x[2])-phase plane to (x[3],x[4])-phase plane~


&br;&br;
CENTER:[[To Page Top>aboutPP_window_en#PP_top]]~
&br;&br;

&aname(pp_stop_scale);
LEFT:&size(20){''How to fix the draw range (stop auto scale)''};
----
+ Select ''Setting'' -> ''Window''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start.png);~
&br;
+ Start up ''Window option''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start2.png);~
&br;
+ Select the axis that fixes the range. After that, assign the draw range.~
//範囲を固定する軸を選択.その後,描画範囲を指定してやる.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=scale.png);~
&br;

&br;&br;
CENTER:[[To Page Top>aboutPP_window_en#PP_top]]~
&br;&br;


&aname(pp_add_window);
LEFT:&size(20){''How to add the draw window''};
----
+ Select ''Setting'' -> ''Window''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start.png);~
&br;
+ Start up ''Window option''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start2.png);~
&br;
+ Press ''Add New Window''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=add.png);~
&br;
+ Added new Window.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=add2.png);~
&br;
+ Configure the newly generated window.
//After that, press 新しく生成された Window の設定を行い OK.


&br;&br;
CENTER:[[To Page Top>aboutPP_window_en#PP_top]]~
&br;&br;


&aname(pp_change_size_line);
LEFT:&size(20){''How to change the line width''};
----
+ Select ''Setting'' -> ''Window''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start.png);~
&br;
+ Start up ''Window option'' ~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start2.png);~
&br;
+ Configure the line width from ''Line'' -> ''width'' in the panel. The default configuration is 0.5 pt. Change the value of the pt.~
//で線の太さを設定.Default 設定は 0.5 pt.pt の数値を変更する.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=line.png);~
&br;
+ The following example is the line width from 0.5 pt to 3 pt.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=line2.png);~
&br;
(a) Default configuration(''0.5 pt'')~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=line3.png);~
&br;
(b) ''3 pt''~

&br;&br;
CENTER:[[To Page Top>aboutPP_window_en#PP_top]]~
&br;&br;

&aname(pp_change_size_point);
LEFT:&size(20){''How to change the point size''};
----
+ Select ''Setting'' -> ''Window''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start.png);~
&br;
+ Start up ''Window option''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start2.png);~
&br;
+ Configure the point size from ''Point'' -> ''size'' in the panel. The default configuration is 6 pt. Change the value of the pt.~
//パネル内の ''Point'' -> ''size'' で点の大きさを設定.Default 設定は 6 pt.pt の数値を変更する.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=point.png);~
&br;
+ The following example is the point size from 6 pt to 20 pt.
//以下は,点の大きさを 6 pt から 20 pt に変更した場合の例.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=point2.png);~
&br;
(a) Default configuration (''6 pt'')~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=point3.png);~
&br;
(b) ''20 pt''~


&br;&br;
CENTER:[[To Page Top>aboutPP_window_en#PP_top]]~
&br;&br;


&aname(pp_change_color);
LEFT:&size(20){''How to change the color of lines/points in a figure''};
----
+ Select ''Setting'' -> ''Window''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start.png);~
&br;
+ Start up ''Window option''.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=start2.png);~
&br;
+ Click on &color(blue){''line color''}; or &color(red){point color}; on the panel to start the color palette.
//パネル上の &color(blue){''line color''}; または &color(red){point color}; をクリックするとカラーパレットが起動する.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=color.png);~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=color2.png);~
&br;
+ Select the color to change to on the color palette. Direct input of RGB values is also acceptable. In this case, input the appropriate values in each field. In the following example, the line color is changed from &color(blue){blue}; to &color(magenta){magenta};.~
//変更したいカラーパレット上の色を選択すればよい.また,直接RGB値を指定することもできる.その場合は,各欄に対応する数値を記入する.以下は,line color を&color(blue){''青''};から&color(magenta){''マゼンタ''};に変更した場合の例.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=color3.png);~
&br;
+ Figure when the line color is changed from blue to magenta.~
+ Figure where the line color is changed from blue to magenta.~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=color4.png);~
&br;
(a) Default configuration(''Blue line'')~
&br;
CENTER:&ref(http://bunki.sat.iis.u-tokyo.ac.jp:50080/BUNKI/index.php?plugin=attach&refer=aboutPP_window&openfile=color5.png);~
&br;
(b) After the change (''Magenta line'')~


&br;&br;
CENTER:[[To Page Top>aboutPP_window_en#PP_top]]~
&br;&br;


LEFT:[[aboutPP>aboutPP_en]]
CENTER:[[PP>PP_en]]
RIGHT:[[User's Guide>users_guide_en]]

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