https://cyana.org/w/index.php?action=history&feed=atom&title=INCLAN_Graphics%3A_plot_curve 2026-05-20T18:29:41Z Revision history for this page on the wiki MediaWiki 1.45.1 https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7556&oldid=prev 2009-09-09T16:36:05Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:36, 9 September 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10">Line 10:</td> <td colspan="2" class="diff-lineno">Line 10:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve.jpg|<del style="font-weight: bold; text-decoration: none;">100px</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve.jpg|<ins style="font-weight: bold; text-decoration: none;">250px</ins>]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td></tr> </table>

Miki https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7555&oldid=prev 2009-09-09T16:35:48Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:35, 9 September 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10">Line 10:</td> <td colspan="2" class="diff-lineno">Line 10:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve<del style="font-weight: bold; text-decoration: none;">-s</del>.jpg|100px]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve.jpg|100px]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td></tr> </table>

Miki https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7554&oldid=prev 2009-09-09T16:35:31Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:35, 9 September 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10">Line 10:</td> <td colspan="2" class="diff-lineno">Line 10:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve-s.jpg]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve-s.jpg<ins style="font-weight: bold; text-decoration: none;">|100px</ins>]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td></tr> </table>

Miki https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7553&oldid=prev 2009-09-09T16:34:56Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:34, 9 September 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10">Line 10:</td> <td colspan="2" class="diff-lineno">Line 10:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve-<del style="font-weight: bold; text-decoration: none;">sjpg</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve-<ins style="font-weight: bold; text-decoration: none;">s.jpg</ins>]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td></tr> </table>

Miki https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7552&oldid=prev 2009-09-09T16:34:47Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:34, 9 September 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10">Line 10:</td> <td colspan="2" class="diff-lineno">Line 10:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve<del style="font-weight: bold; text-decoration: none;">.jpg</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve<ins style="font-weight: bold; text-decoration: none;">-sjpg</ins>]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td></tr> </table>

Miki https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7550&oldid=prev 2009-09-09T16:33:41Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:33, 9 September 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10">Line 10:</td> <td colspan="2" class="diff-lineno">Line 10:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Image:<del style="font-weight: bold; text-decoration: none;">plot </del>curve.jpg]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Image:curve.jpg]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:&lt;br&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td></tr> </table>

Miki https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7539&oldid=prev 2009-09-09T16:16:32Z

<p><span class="autocomment">Synopsis</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:16, 9 September 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Synopsis ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Synopsis ==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''plot curve ''x''&lt;sub&gt;1&lt;/sub&gt; ''y''&lt;sub&gt;1&lt;/sub&gt; ''x''&lt;sub&gt;2&lt;/sub&gt; ''y''&lt;sub&gt;2&lt;/sub&gt; ''x''&lt;sub&gt;3&lt;/sub&gt; ''y''&lt;sub&gt;3&lt;/sub&gt; ''x''&lt;sub&gt;4&lt;/sub&gt; ''y''&lt;sub&gt;4&lt;/sub&gt; ...<del style="font-weight: bold; text-decoration: none;">''' </del>(normal mode)</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''plot curve<ins style="font-weight: bold; text-decoration: none;">''' </ins>''x''&lt;sub&gt;1&lt;/sub&gt; ''y''&lt;sub&gt;1&lt;/sub&gt; ''x''&lt;sub&gt;2&lt;/sub&gt; ''y''&lt;sub&gt;2&lt;/sub&gt; ''x''&lt;sub&gt;3&lt;/sub&gt; ''y''&lt;sub&gt;3&lt;/sub&gt; ''x''&lt;sub&gt;4&lt;/sub&gt; ''y''&lt;sub&gt;4&lt;/sub&gt; ... (normal mode)</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''plot curve [[''x''] ''y''&lt;sub&gt;1&lt;/sub&gt;...]<del style="font-weight: bold; text-decoration: none;">'''</del>(list mode)</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''plot curve<ins style="font-weight: bold; text-decoration: none;">''' </ins>[[''x''] ''y''&lt;sub&gt;1&lt;/sub&gt;...](list mode)</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Description ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Description ==</div></td></tr> </table>

Masayo https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7486&oldid=prev 2009-08-19T08:50:10Z

<p><span class="autocomment">Description</span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 10:50, 19 August 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Line 7:</td> <td colspan="2" class="diff-lineno">Line 7:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Description ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Description ==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Normal mode:  </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Normal mode:<ins style="font-weight: bold; text-decoration: none;">&lt;br&gt; </ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws a Bézier spline curve defined by the points (&#039;&#039;&#039;x&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;i&lt;/sub&gt;). The total number of points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039; ≥ 1. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and reaches (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) along the direction of the straight line connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (x4,y4). The lengths of the lines connecting (&#039;&#039;x&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;2&lt;/sub&gt;) and (&#039;&#039;x&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;3&lt;/sub&gt;) with (&#039;&#039;x&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;,&#039;&#039;y&#039;&#039;&lt;sub&gt;4&lt;/sub&gt;) represent, in a sense, the “velocity” of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>List mode:</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Image:plot curve.jpg]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>List mode:<ins style="font-weight: bold; text-decoration: none;">&lt;br&gt;</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The command draws Bézier spline curves through the points of the given vector expressions &#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the &#039;&#039;x&#039;&#039;-expression is omitted (i.e. if only a single expression, &#039;&#039;y&#039;&#039;&lt;sub&gt;1&lt;/sub&gt;, is given), the &#039;&#039;x&#039;&#039;-coordinates are taken from the &#039;&#039;x&#039;&#039;-column of the list. The number of list points must be 3&#039;&#039;n&#039;&#039; + 1, with integer &#039;&#039;n&#039;&#039;.</div></td></tr> </table>

Masayo https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7255&oldid=prev 2009-08-13T10:24:40Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:24, 13 August 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l11">Line 11:</td> <td colspan="2" class="diff-lineno">Line 11:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The command draws <del style="font-weight: bold; text-decoration: none;">Bezier </del>spline curves through the points of the given vector</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The command draws <ins style="font-weight: bold; text-decoration: none;">Bézier </ins>spline curves through the points of the given vector expressions <ins style="font-weight: bold; text-decoration: none;">''</ins>x<ins style="font-weight: bold; text-decoration: none;">''</ins>, <ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;1&lt;/sub&gt;</ins>,... If no vector expressions are specified, splines are drawn through the points of all list columns. If the <ins style="font-weight: bold; text-decoration: none;">''</ins>x<ins style="font-weight: bold; text-decoration: none;">''</ins>-expression is omitted (i.e. if only a single expression, <ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;1&lt;/sub&gt;</ins>, is given), the <ins style="font-weight: bold; text-decoration: none;">''</ins>x<ins style="font-weight: bold; text-decoration: none;">''</ins>-coordinates are taken from the <ins style="font-weight: bold; text-decoration: none;">''</ins>x<ins style="font-weight: bold; text-decoration: none;">''</ins>-column of the list. The number of list points must be <ins style="font-weight: bold; text-decoration: none;">3''n'' </ins>+ 1, with integer <ins style="font-weight: bold; text-decoration: none;">''</ins>n''.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>expressions x, <del style="font-weight: bold; text-decoration: none;">y1</del>,... If no vector expressions are specified, splines</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>are drawn through the points of all list columns. If the x-expression</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>is omitted (i.e. if only a single expression, <del style="font-weight: bold; text-decoration: none;">y1</del>, is given), the</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>x-coordinates are taken from the x-column of the list. The number of</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>list points must be <del style="font-weight: bold; text-decoration: none;">3n</del>+1, with integer n''<del style="font-weight: bold; text-decoration: none;">0</del>.</div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

Admin https://cyana.org/w/index.php?title=INCLAN_Graphics:_plot_curve&diff=7254&oldid=prev 2009-08-13T10:22:00Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:22, 13 August 2009</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l8">Line 8:</td> <td colspan="2" class="diff-lineno">Line 8:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Normal mode:  </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Normal mode:  </div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The command draws a <del style="font-weight: bold; text-decoration: none;">Bezier </del>spline curve defined by the <del style="font-weight: bold; text-decoration: none;">given </del>points. The total</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The command draws a <ins style="font-weight: bold; text-decoration: none;">Bézier </ins>spline curve defined by the points <ins style="font-weight: bold; text-decoration: none;">('''x''&lt;sub&gt;i&lt;/sub&gt;,''y''&lt;sub&gt;i&lt;/sub&gt;)</ins>. The total number of points must be <ins style="font-weight: bold; text-decoration: none;">3''n'' </ins>+ 1, with integer <ins style="font-weight: bold; text-decoration: none;">''</ins>n'' <ins style="font-weight: bold; text-decoration: none;">≥ 1</ins>. The resulting curve passes through the points 1, 4, 7,...; the other points guide the curve. Four points define the shape of each segment of the curve: The curve segment leaves (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;1&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;1&lt;/sub&gt;</ins>) along the direction of the straight line connecting (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;1&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;1&lt;/sub&gt;</ins>) with (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;2&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;2&lt;/sub&gt;</ins>) and reaches (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;4&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;4&lt;/sub&gt;</ins>) along the direction of the straight line connecting (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;3&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;3&lt;/sub&gt;</ins>) with (x4,y4). The lengths of the lines connecting (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;1&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;1&lt;/sub&gt;</ins>) with (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;2&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;2&lt;/sub&gt;</ins>) and (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;3&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;3&lt;/sub&gt;</ins>) with (<ins style="font-weight: bold; text-decoration: none;">''x''&lt;sub&gt;4&lt;/sub&gt;</ins>,<ins style="font-weight: bold; text-decoration: none;">''y''&lt;sub&gt;4&lt;/sub&gt;</ins>) represent, in a sense, the <ins style="font-weight: bold; text-decoration: none;">“velocity” </ins>of the path at the endpoints. The curve segment is always enclosed by the convex quadrilateral defined by the four points.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>number of points must be <del style="font-weight: bold; text-decoration: none;">3n</del>+1, with integer n''<del style="font-weight: bold; text-decoration: none;">0</del>. The resulting curve passes</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>through the points 1, 4, 7,...; the other points guide the curve. Four points</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>define the shape of each segment of the curve: The curve segment</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>leaves (<del style="font-weight: bold; text-decoration: none;">x1</del>,<del style="font-weight: bold; text-decoration: none;">y1</del>) along the direction of the straight line connecting (<del style="font-weight: bold; text-decoration: none;">x1</del>,<del style="font-weight: bold; text-decoration: none;">y1</del>)  </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>with (<del style="font-weight: bold; text-decoration: none;">x2</del>,<del style="font-weight: bold; text-decoration: none;">y2</del>) and reaches (<del style="font-weight: bold; text-decoration: none;">x4</del>,<del style="font-weight: bold; text-decoration: none;">y4</del>) along the direction of the straight line  </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>connecting (<del style="font-weight: bold; text-decoration: none;">x3</del>,<del style="font-weight: bold; text-decoration: none;">y3</del>) with (x4,y4). The lengths of the lines connecting (<del style="font-weight: bold; text-decoration: none;">x1</del>,<del style="font-weight: bold; text-decoration: none;">y1</del>)</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>with (<del style="font-weight: bold; text-decoration: none;">x2</del>,<del style="font-weight: bold; text-decoration: none;">y2</del>) and (<del style="font-weight: bold; text-decoration: none;">x3</del>,<del style="font-weight: bold; text-decoration: none;">y3</del>) with (<del style="font-weight: bold; text-decoration: none;">x4</del>,<del style="font-weight: bold; text-decoration: none;">y4</del>) represent, in a sense, the <del style="font-weight: bold; text-decoration: none;">"velocity" </del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>of the path at the endpoints. The curve segment is always enclosed by the  </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>convex quadrilateral defined by the four points.</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>List mode:</div></td></tr> </table>

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