File:RationalDegree2byXedi.svg
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Summary
Rational function of degree 2 defined by <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f34422d5e504da2510ad790b946b2af8d5515976" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.171ex; width:16.9ex; height:6.009ex;" alt="y={\frac {x^{2}-3x-2}{x^{2}-4}}">. Created in <a href="https://en.wikipedia.org/wiki/python_(programming_language)" class="extiw" title="w:python (programming language)">python</a>.
<span class="kn">from</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">import</span> <span class="o">*</span>
<span class="kn">from</span> <span class="nn">numpy</span> <span class="kn">import</span> <span class="n">linspace</span>
<span class="kn">from</span> <span class="nn">mpl_toolkits.axisartist</span> <span class="kn">import</span> <span class="o">*</span>
<span class="n">xlim</span><span class="p">,</span> <span class="n">ylim</span> <span class="o">=</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">15</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">linspace</span><span class="p">(</span><span class="o">-</span><span class="n">xlim</span><span class="p">,</span><span class="n">xlim</span><span class="p">,</span><span class="mi">301</span><span class="p">)</span>
<span class="n">y</span> <span class="o">=</span> <span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">-</span><span class="mf">3.</span><span class="o">*</span><span class="n">x</span><span class="o">-</span><span class="mf">2.</span><span class="p">)</span><span class="o">/</span><span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">-</span><span class="mf">4.</span><span class="p">)</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">))</span>
<span class="n">ax</span> <span class="o">=</span> <span class="n">Subplot</span><span class="p">(</span><span class="n">fig</span><span class="p">,</span><span class="s2">"111"</span><span class="p">)</span>
<span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">ax</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[:]</span><span class="o">.</span><span class="n">set_visible</span><span class="p">(</span><span class="bp">False</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"x"</span><span class="p">]</span> <span class="o">=</span> <span class="n">ax</span><span class="o">.</span><span class="n">new_floating_axis</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"y"</span><span class="p">]</span> <span class="o">=</span> <span class="n">ax</span><span class="o">.</span><span class="n">new_floating_axis</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"y"</span><span class="p">]</span><span class="o">.</span><span class="n">set_axis_direction</span><span class="p">(</span><span class="s2">"right"</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">y</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=</span><span class="mf">1.</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">],[</span><span class="o">-</span><span class="n">ylim</span><span class="p">,</span><span class="n">ylim</span><span class="p">],</span><span class="s1">'k--'</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=.</span><span class="mi">5</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="o">-</span><span class="mi">2</span><span class="p">],[</span><span class="o">-</span><span class="n">ylim</span><span class="p">,</span><span class="n">ylim</span><span class="p">],</span><span class="s1">'k--'</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=.</span><span class="mi">5</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">],[</span><span class="o">-</span><span class="n">ylim</span><span class="p">,</span><span class="n">ylim</span><span class="p">],</span><span class="s1">'k--'</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=.</span><span class="mi">5</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="o">-</span><span class="n">xlim</span><span class="p">,</span><span class="n">xlim</span><span class="p">],[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span><span class="s1">'k--'</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=.</span><span class="mi">5</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="bp">False</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">(</span><span class="o">-</span><span class="n">ylim</span><span class="p">,</span><span class="n">ylim</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">(</span><span class="o">-</span><span class="n">xlim</span><span class="p">,</span><span class="n">xlim</span><span class="p">)</span>
<span class="n">ax</span><span class="o">.</span><span class="n">minorticks_on</span><span class="p">()</span>
<span class="n">fig</span><span class="o">.</span><span class="n">savefig</span><span class="p">(</span><span class="s2">"RationalDegree2byXedi.svg"</span><span class="p">,</span><span class="n">bbox_inches</span><span class="o">=</span><span class="s2">"tight"</span><span class="p">,</span>\
<span class="n">pad_inches</span><span class="o">=.</span><span class="mi">15</span><span class="p">)</span>
Licensing
Lua error in package.lua at line 80: module 'strict' not found.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:34, 17 January 2017 | | 398 × 398 (32 KB) | 127.0.0.1 (talk) | Rational function of degree 2 defined by <span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>y</mi><mo>=</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><mrow><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−<!-- − --></mo><mn>3</mn><mi>x</mi><mo>−<!-- − --></mo><mn>2</mn></mrow><mrow><msup><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup><mo>−<!-- − --></mo><mn>4</mn></mrow></mfrac></mrow></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle y={\frac {x^{2}-3x-2}{x^{2}-4}}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f34422d5e504da2510ad790b946b2af8d5515976" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.171ex; width:16.9ex; height:6.009ex;" alt="y={\frac {x^{2}-3x-2}{x^{2}-4}}"></span>. Created in <a href="https://en.wikipedia.org/wiki/python_(programming_language)" class="extiw" title="w:python (programming language)">python</a>. <div class="mw-highlight mw-content-ltr" dir="ltr"><pre><span class="kn">from</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">import</span> <span class="o">*</span> <span class="kn">from</span> <span class="nn">numpy</span> <span class="kn">import</span> <span class="n">linspace</span> <span class="kn">from</span> <span class="nn">mpl_toolkits.axisartist</span> <span class="kn">import</span> <span class="o">*</span> <span class="n">xlim</span><span class="p">,</span> <span class="n">ylim</span> <span class="o">=</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">15</span> <span class="n">x</span> <span class="o">=</span> <span class="n">linspace</span><span class="p">(</span><span class="o">-</span><span class="n">xlim</span><span class="p">,</span><span class="n">xlim</span><span class="p">,</span><span class="mi">301</span><span class="p">)</span> <span class="n">y</span> <span class="o">=</span> <span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">-</span><span class="mf">3.</span><span class="o">*</span><span class="n">x</span><span class="o">-</span><span class="mf">2.</span><span class="p">)</span><span class="o">/</span><span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="o">-</span><span class="mf">4.</span><span class="p">)</span> <span class="n">fig</span> <span class="o">=</span> <span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">5</span><span class="p">))</span> <span class="n">ax</span> <span class="o">=</span> <span class="n">Subplot</span><span class="p">(</span><span class="n">fig</span><span class="p">,</span><span class="s2">"111"</span><span class="p">)</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="n">ax</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[:]</span><span class="o">.</span><span class="n">set_visible</span><span class="p">(</span><span class="bp">False</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"x"</span><span class="p">]</span> <span class="o">=</span> <span class="n">ax</span><span class="o">.</span><span class="n">new_floating_axis</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"y"</span><span class="p">]</span> <span class="o">=</span> <span class="n">ax</span><span class="o">.</span><span class="n">new_floating_axis</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">axis</span><span class="p">[</span><span class="s2">"y"</span><span class="p">]</span><span class="o">.</span><span class="n">set_axis_direction</span><span class="p">(</span><span class="s2">"right"</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="n">y</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=</span><span class="mf">1.</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">],[</span><span class="o">-</span><span class="n">ylim</span><span class="p">,</span><span class="n">ylim</span><span class="p">],</span><span class="s1">'k--'</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=.</span><span class="mi">5</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="o">-</span><span class="mi">2</span><span class="p">],[</span><span class="o">-</span><span class="n">ylim</span><span class="p">,</span><span class="n">ylim</span><span class="p">],</span><span class="s1">'k--'</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=.</span><span class="mi">5</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">],[</span><span class="o">-</span><span class="n">ylim</span><span class="p">,</span><span class="n">ylim</span><span class="p">],</span><span class="s1">'k--'</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=.</span><span class="mi">5</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">([</span><span class="o">-</span><span class="n">xlim</span><span class="p">,</span><span class="n">xlim</span><span class="p">],[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span><span class="s1">'k--'</span><span class="p">,</span><span class="n">linewidth</span><span class="o">=.</span><span class="mi">5</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">grid</span><span class="p">(</span><span class="bp">False</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">set_ylim</span><span class="p">(</span><span class="o">-</span><span class="n">ylim</span><span class="p">,</span><span class="n">ylim</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">set_xlim</span><span class="p">(</span><span class="o">-</span><span class="n">xlim</span><span class="p">,</span><span class="n">xlim</span><span class="p">)</span> <span class="n">ax</span><span class="o">.</span><span class="n">minorticks_on</span><span class="p">()</span> <span class="n">fig</span><span class="o">.</span><span class="n">savefig</span><span class="p">(</span><span class="s2">"RationalDegree2byXedi.svg"</span><span class="p">,</span><span class="n">bbox_inches</span><span class="o">=</span><span class="s2">"tight"</span><span class="p">,</span>\ <span class="n">pad_inches</span><span class="o">=.</span><span class="mi">15</span><span class="p">)</span> </pre></div> |
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