{"id":107373,"date":"2026-09-19T13:16:38","date_gmt":"2026-09-19T05:16:38","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/107373.html"},"modified":"2026-09-19T13:16:38","modified_gmt":"2026-09-19T05:16:38","slug":"%e5%bc%80%e6%ba%90%e5%85%89%e7%ba%a4%e9%80%9a%e4%bf%a1%e4%bb%bf%e7%9c%9f%e8%bd%af%e4%bb%b6opticalsimulation","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/107373.html","title":{"rendered":"\u5f00\u6e90\u5149\u7ea4\u901a\u4fe1\u4eff\u771f\u8f6f\u4ef6OpticalSimulation"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>\n<ul>\n<li>\u7b80\u4ecb\u548c\u5b89\u88c5<\/li>\n<li>\u53c2\u6570\u8bbe\u7f6e<\/li>\n<li>\u8fd0\u884c<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3>\u7b80\u4ecb\u548c\u5b89\u88c5<\/h3>\n<p>OptiCommPy\u4f5c\u4e3a\u4e00\u4e2a\u4e13\u4e1a\u5e93&#xff0c;\u548c\u7269\u7406\u8054\u7cfb\u975e\u5e38\u5bc6\u5207&#xff0c;\u4ece\u800c\u6a21\u5757\u4f17\u591a&#xff0c;\u5982\u679c\u6709\u4e00\u4e2aGUI\u754c\u9762&#xff0c;\u53ef\u4ee5\u52a0\u901f\u5bf9\u5149\u7ea4\u901a\u4fe1\u7684\u7406\u89e3\u548c\u8ba4\u8bc6\u3002\u4e3a\u6b64&#xff0c;\u6377\u514b\u5e03\u5c14\u8bfa\u7406\u5de5\u5927\u5b66\u7684Martin Jurkovi\u010d\u7855\u58eb\u57fa\u4e8eOptiCommPy\u5199\u4e86\u4e2a\u5149\u7ea4\u901a\u4fe1\u4eff\u771f\u7a0b\u5e8fOpticalSimulation\u3002<\/p>\n<p>\u8be5\u9879\u76ee\u7684\u6838\u5fc3\u7269\u7406\u8fc7\u7a0b\u57fa\u4e8eOptiCommPy&#xff0c;\u754c\u9762\u5219\u57fa\u4e8ecustomtikinter&#xff0c;\u5982\u679c\u6ca1\u88c5&#xff0c;\u9700\u8981\u4e8b\u5148\u5b89\u88c5\u4e00\u4e0b\u3002\u8003\u8651\u5230\u8fd9\u4e2a\u8f6f\u4ef6\u7f16\u5199\u4e8e2024\u5e745\u6708&#xff0c;\u540e\u7eed\u6ca1\u518d\u66f4\u65b0&#xff0c;\u800cOptiCommPy\u53c8\u662f\u4e2a\u51b7\u95e8\u5e93&#xff0c;\u66f4\u65b0\u6bd4\u8f83\u4efb\u6027&#xff0c;\u4e0d\u600e\u4e48\u8003\u8651\u517c\u5bb9\u6027&#xff0c;\u65b9\u4fbf\u8d77\u89c1&#xff0c;\u8fd9\u91cc\u65b0\u5efa\u4e00\u4e2aconda\u73af\u5883&#xff0c;\u5b89\u88c52023\u5e74\u7684OptiCommPy0.7.0\u3002<\/p>\n<p>pip install OptiCommPy&#061;&#061;0.7.0 -i https:\/\/pypi.tuna.tsinghua.edu.cn\/simple<br \/>\npip install customtkinter -i https:\/\/pypi.tuna.tsinghua.edu.cn\/simple<\/p>\n<p>\u7136\u540e\u514b\u9686\u9879\u76ee&#xff0c;\u8fd0\u884c\u5c31OK\u4e86\u3002<\/p>\n<p>git clone https:\/\/github.com\/jurkovicmartin\/OpticalSimulation<br \/>\ncd OpticalSimulation<br \/>\npython app.py<\/p>\n<p>\u754c\u9762\u5982\u4e0b<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260919051636-6aae1ab489b6e.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>\u53c2\u6570\u8bbe\u7f6e<\/h3>\n<p>\u8fd9\u4e2a\u8f6f\u4ef6\u5e76\u6ca1\u6709\u63d0\u4f9b\u9ed8\u8ba4\u8bbe\u7f6e&#xff0c;\u751a\u81f3\u4ee3\u7801\u4e2d\u5199\u4e86\u4e2a\u53c2\u6570\u68c0\u67e5\u529f\u80fd&#xff0c;\u5982\u679c\u68c0\u6d4b\u5230\u53c2\u6570\u548c\u521d\u59cb\u53c2\u6570\u76f8\u540c&#xff0c;\u4f1a\u62a5\u9519\u3002\u4e0b\u9762\u6309\u7167\u622a\u56fe\u4e2d\u7684\u53c2\u6570\u9010\u4e2a\u8bbe\u7f6e\u3002<\/p>\n<table>\n<tr>\u7c7b\u522b\u53c2\u6570\u5355\u4f4d\u6570\u503c\u8303\u56f4<\/tr>\n<tbody>\n<tr>\n<td>General<\/td>\n<td>Modulation format<\/td>\n<td>&#8211;<\/td>\n<td>OOK \/ PAM \/ PSK \/ QAM<\/td>\n<\/tr>\n<tr>\n<td>General<\/td>\n<td>Order of modulation<\/td>\n<td>&#8211;<\/td>\n<td>Depends on format<\/td>\n<\/tr>\n<tr>\n<td>General<\/td>\n<td>Symbol rate<\/td>\n<td>symbols\/s<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           (<\/p>\n<p>            10<\/p>\n<p>            6<\/p>\n<p>           )<\/p>\n<p>           ,<\/p>\n<p>           G<\/p>\n<p>           (<\/p>\n<p>            10<\/p>\n<p>            9<\/p>\n<p>           )<\/p>\n<p>          \\\\text(10^6), G(10^9)<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">(<\/span><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">G<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Source<\/td>\n<td>Power<\/td>\n<td>dBm<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           20<\/p>\n<p>           \u2a7d<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           50<\/p>\n<p>          -20 \\\\leqslant x \\\\leqslant 50<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7811em;vertical-align: -0.1367em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">20<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">50<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Source<\/td>\n<td>Central frequency<\/td>\n<td>THz<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           170<\/p>\n<p>           \u2a7d<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           250<\/p>\n<p>          170 \\\\leqslant x \\\\leqslant 250<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7811em;vertical-align: -0.1367em\"><\/span><span class=\"mord\">170<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">250<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Source<\/td>\n<td>Linewidth<\/td>\n<td>MHz \/ kHz \/ Hz<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           1<\/p>\n<p>           Hz<\/p>\n<p>           \u2a7d<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           1<\/p>\n<p>           GHz<\/p>\n<p>          1 \\\\text{Hz} \\\\leqslant x \\\\leqslant 1 \\\\text{GHz}<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.82em;vertical-align: -0.1367em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord text\"><span class=\"mord\">Hz<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord text\"><span class=\"mord\">GHz<\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Source<\/td>\n<td>Relative intensity noise<\/td>\n<td>dB\/Hz<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           \u2212<\/p>\n<p>           250<\/p>\n<p>           \u2a7d<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           0<\/p>\n<p>          -250 \\\\leqslant x \\\\leqslant 0<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7811em;vertical-align: -0.1367em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">250<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Modulator<\/td>\n<td>Type<\/td>\n<td>&#8211;<\/td>\n<td>PM \/ MZM \/ IQM<\/td>\n<\/tr>\n<tr>\n<td>Communication channel<\/td>\n<td>Length<\/td>\n<td>km<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           0<\/p>\n<p>           &lt;<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           1000<\/p>\n<p>          0 &lt; x \\\\leqslant 1000<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1000<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Communication channel<\/td>\n<td>Attenuation<\/td>\n<td>dB\/km<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           0<\/p>\n<p>           \u2a7d<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           5<\/p>\n<p>          0 \\\\leqslant x \\\\leqslant 5<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7811em;vertical-align: -0.1367em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">5<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Communication channel<\/td>\n<td>Chromatic dispersion<\/td>\n<td>ps\/nm\/km<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           0<\/p>\n<p>           \u2a7d<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           200<\/p>\n<p>          0 \\\\leqslant x \\\\leqslant 200<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7811em;vertical-align: -0.1367em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">200<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Detector<\/td>\n<td>Type<\/td>\n<td>&#8211;<\/td>\n<td>Photodiode \/ coherent<\/td>\n<\/tr>\n<tr>\n<td>Detector<\/td>\n<td>Bandwidth<\/td>\n<td>GHz \/ MHz \/ kHz \/ Hz<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           0<\/p>\n<p>           H<\/p>\n<p>           z<\/p>\n<p>           &lt;<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>          0 Hz &lt; x \\\\leqslant<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7224em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">0<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><\/span><\/span><\/span><\/span> \u53d6\u51b3\u4e8esymbol rate<\/td>\n<\/tr>\n<tr>\n<td>Detector<\/td>\n<td>Responsivity<\/td>\n<td>A\/W<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           0<\/p>\n<p>           &lt;<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           10<\/p>\n<p>          0 &lt; x \\\\leqslant 10<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">10<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Amplifier<\/td>\n<td>Position in channel<\/td>\n<td>&#8211;<\/td>\n<td>start \/ middle \/ end<\/td>\n<\/tr>\n<tr>\n<td>Amplifier<\/td>\n<td>Gain<\/td>\n<td>dB<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           0<\/p>\n<p>           &lt;<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           50<\/p>\n<p>          0 &lt; x \\\\leqslant 50<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6835em;vertical-align: -0.0391em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&lt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: -0.1367em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">50<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td>Amplifier<\/td>\n<td>Noise figure<\/td>\n<td>dB<\/td>\n<td><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>           0<\/p>\n<p>           \u2a7d<\/p>\n<p>           x<\/p>\n<p>           \u2a7d<\/p>\n<p>           100<\/p>\n<p>          0 \\\\leqslant x \\\\leqslant 100<\/p>\n<p>       <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7811em;vertical-align: -0.1367em\"><\/span><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u2a7d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7733em;vertical-align: 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