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/> <script src="/ScriptResource.axd?d=qph9tUZ6hGN40iYsKE0yGuGgreKzEQjpoaLKayB8JajnMGDI7DPjiDSJU0VTAnUq_VNKR_Vy2C9fLg0x9MFlE1l0hfx43n49hHl6QrcWzqA1&t=34140337" type="text/javascript"></script> <script src="services/VoteService.asmx/js" type="text/javascript"></script> <script src="services/MemberService.asmx/js" type="text/javascript"></script> <script src="services/TagService.asmx/js" type="text/javascript"></script> <script src="services/PageServices.asmx/js" type="text/javascript"></script> <script src="services/EditorService.asmx/js" type="text/javascript"></script> <input type="hidden" name="__VIEWSTATEGENERATOR" id="__VIEWSTATEGENERATOR" value="CA0B0334" /> <span></span> <div id="ctl00_MainContent__home__pnlAnnouncement"> <div class="sidebarblock" style="margin-bottom: 0px;"> <h3 style="background-color: #0083c1;">MaplePrimes Announcement</h3> </div> <div id="ctl00_MainContent__home_front_announcement" class="post"> <div id="ctl00_MainContent__home_announcement_summary" class="post"> <div id="ctl00_MainContent__home_AnnouncementHeader_header" class="post newAnnouncementHeader"> <div class="call"> <div class="post"> <div class="wrap-ut pull-left"> <div class="userinfo pull-left"> <div id="ctl00_MainContent__home_AnnouncementHeader_photo_photoPanel" class="photo"> <a id="ctl00_MainContent__home_AnnouncementHeader_photo_photoLink" href="/users/Samir%20Khan"> <div class="avatar"> <img src="https://www.maplesoft.com/content/MemberPhotos/\94426_samir_lg.jpg" id="ctl00_MainContent__home_AnnouncementHeader_photo_memberPhoto" width="75" height="75" /> </div> </a> <div id="editImage" style="background:rgba(0, 0, 0, .6) 70%; display:none; position:absolute; font-size:medium; font-weight: 700; text-align:center; color:White; width:75px; height:75px; top:0; left:25px; z-index:1"> <a href="/account/settings" id="ctl00_MainContent__home_AnnouncementHeader_photo_Edit" style=""><div style="padding-top:26px; color:White;">Edit</div></a> </div> <div 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</span></span> <label id="ctl00_MainContent__home_AnnouncementHeader_productLabel" style="padding-left:15px;"></label> <!-- display products here--> <label id="ctl00_MainContent__home_AnnouncementHeader_relatedProducts_productLabel">Product:</label> <a href="/products/Maple Flow/Maple Flow 2024"> Maple Flow 2024</a> <div class="time" style="text-align: left;"> <div class="tagList pull-left"> <div class="tagList"> <a href="/tags/engineering"> engineering</a> <a class="addNewTagLink" style="display:none">+ Manage Tags</a> </div> </div> </div> </div> <div class="clearfix"></div> </div> <div class="postinfo pull-right"> <div class="comments"> <div class="commentbg"> <span id="ctl00_MainContent__home_AnnouncementHeader_dateAsked">May 15 2024</span> <div class="mark"></div> </div> </div> <div class="views"><i class="fa fa-thumbs-up" style="color:rgba(108,160,194,1.00)"></i> 4 <i class="fa fa-comment" style="color:rgba(109,194,108,1.00)"></i> 0</div> </div> </div> </div> </div> <div class="postfull" style="height: 250px !important; overflow: hidden;"> <div id="ctl00_MainContent__home_announcementSummary" styles="padding: 10px !important;"> <span id="ctl00_MainContent__home_ann_summary"><p>We've just launched Maple Flow 2024!</p> <p>You're in the driving seat with Maple Flow - each new feature has a straight-line connection to a user-driven demand to work faster and more efficiently.</p> <p>Head on over <a href="https://www.maplesoft.com/products/Mapleflow/new-features/">here</a> for a rundown of everything that's new, but I thought I'd share my personal highlights here.</p> <p>If your result contains a large vector or matrix, you can now scroll to see more data. You can also change the size of the matrix to view more or fewer rows and columns.</p> <p><img src="/view.aspx?sf=225643_post/scrollable_matrix.gif"></p> <p>You can resize rows and columns if they're too large or small, and selectively enable row and column headers.</p> <p><img src="/view.aspx?sf=225643_post/scrollable_matrix_size.gif"></p> <p>If the vector or matrix in your result contains a unit, you can now rescale units with the Context Panel (for the entire matrix) or inline (for individual entries).</p> <p><img src="/view.aspx?sf=225643_post/change_units_in_matrix.gif"></p> <p>A few releases ago, we introduced the Variables palette to help you keep track of all the user-defined parameters at point of the grid cursor.</p> <p>You can now insert variables into the worksheet from the Variables palette. Just double-click on the appropriate name.</p> <p><img src="/view.aspx?sf=225643_post/Insert_variables_from_variables_palette.gif"></p> <p>Maple Flow already features command completion - just type the first few letters of a command, and a list of potential completions appears. Just pick the completion you need with a quick tap of the Tab key.</p> <p>We've supercharged this feature to give potential arguments for many popular functions. Type a function name followed by an opening bracket, and a list appears.</p> <p><img src="/view.aspx?sf=225643_post/Automatic_Argument_Completion.gif"></p> <p>In case you've missed it, the argument completion list also features (when they make sense) user-defined variables.</p> <p><img src="/view.aspx?sf=225643_post/fsolve_argument_completion.gif"></p> <p>You can now link to different parts of the same worksheet. This can be used to create a table of contents that lets you jump to different parts of larger worksheets.</p> <p><img src="/view.aspx?sf=225643_post/hyperlinks_and_bookmarks.gif"></p> <p><a href="https://www.maplesoft.com/products/Mapleflow/new-features/">This page </a>lists everything that's new in the current release, and all the prior releases. You might notice that we have three releases a year, each featuring many user-requested items. Let me know what you want to see next - you might not have to wait that long!</p> </span> </div> </div> <div class="row text-center top2footerBG top2footer" style="position: inherit; width: 100%; margin: 0;"> <a id="ctl00_MainContent__home_announcementLink" href="/maplesoftblog/225643-Announcing-Maple-Flow-2024">Read Full Post</a> </div> </div> </div> </div> <!-- Featured Posts Start --> <div id="ctl00_MainContent__home_pnlFeaturedPost"> <!-- Top 2 Posts --> <div id="topPosts"> <div class="sidebarblock" style="margin-bottom: 0px;"> <h3>Featured Post</h3> </div> <div class="post" style="height: 350px !important; overflow: hidden; position: relative;"> <div class="wrap-ut pull-left"> <div class="userinfo pull-left"> <div id="ctl00_MainContent__home_topPosts_ctrl0_photo_photoPanel" class="photo"> <a id="ctl00_MainContent__home_topPosts_ctrl0_photo_photoLink" href="/users/C_R"> <div class="avatar"> <img src="https://www.maplesoft.com/content/MemberPhotos/\651764_C_R_20230101074926.GIF" 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class="time"><span id="ctl00_MainContent__home_topPosts_ctrl0_photo_userReputation">2120</span></div> </div> </div> </div> <div class="posttext pull-left"> <div class="details"> <div class="upper"> <h3> <a href='/posts/225391-Interrupting-Maple--Evaluating-Forever'>Interrupting Maple –...</a></h3> </div> <div class="summary" style="overflow: auto"> <p><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">It can happen when an operation is interrupted by </span></span><img src="data:image/png;base64,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" style="width:35px; height:35px"><span><span style="font-family:"Calibri",sans-serif"> that Maple does not return to </span></span><img src="data:image/png;base64,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" style="width:81px; height:33px"><span style="font-family:"Calibri",sans-serif"> and still shows </span><img src="data:image/png;base64,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" style="width:126px; height:32px"><span><span style="font-family:"Calibri",sans-serif">. </span></span></span></span></p> <p><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">This can give the false impression that the Maple server in charge of the evaluation did not get the message to stop whatever it was doing.</span></span></span></span></p> <p><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">By giving Maple an impossible task to solve analytically</span></span></span></span></p> <pre class="prettyprint"> f1 := x1 - x1*sin(x1 + 5*x2) - x2*cos(5*x1 - x2); f2 := x2 - x2*sin(5*x1 - 3*x2) + x1*cos(3*x1 + 5*x2); solve({f1, f2});</pre> <p><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">I have noticed in the Windows Task Manager that freeing allocated memory can take much longer than one might think.</span></span></span></span></p> <p><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><img src="data:image/png;base64,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" style="width:605px; height:30px"></span></span></p> <p><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">In one case it took 30 minutes to free 24 Gb of total allocated memory (21 Gb of it in RAM/physical memory). In this case the interrupt button became active (turned from grey </span></span></span></span><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACYAAAAfCAYAAACLSL/LAAADh0lEQVRYR+2XV0ssQRCFa80ZzII5J4y/wFfF8Kr+QPXVgL75E8w5RxAT5qx7+Qp6mJk7rDs6XIRrw7DsTPfU6VPVp86Erq6uwvIDR+gXmM+sfJmx19dXWV1dlfX1dXl/f48YNhQKCVddXZ3U19dLfHz8pzC/BOzx8VF2d3fl+PhYLi8v5ePj49NAMTExkpmZKYWFhVJRUSHJycmRN+O3xgB1cnIic3Nzcnt7K0lJSRokLi5OCA4z4XDY+gX029ubsO75+VlSU1Olra1NCgoKIoLzxRgBNjY2NH0vLy8aMCMjQ5qamiQrK0sSEhIkNjZWAQKIFJNyWF1YWJCbmxvdAPNqamqktrZW/3uNqIDBwNPTk6Zvb29Pzs/PFUBubq4UFxdLWVmZtfutrS25u7tTZqqqqpQ52Nrf35eDgwM5OztTwDk5ObquvLxcWWeefUQF7OLiQoPNzMxo+hITEyUlJUUDV1dXW7tmzvj4uLLHmp6eHklPT9d4MLe9vS2bm5vy8PCgaeUZaeU3OzvbP7DJyUmtGwLb05efn++ok/v7e5mYmNB7sNTd3a3MmcG909NTR1p5Tuq7urr8AxsaGlKqeQFsFBUVOdJn3ggwNoEcUIMES0tLcwQEHOVwdHRknWg2PTg46B/Y8PCwAuNChxoaGjyLNhpgRKfGlpeXVQcBxTUwMOAf2MjIiC6GMU4gwLxGtMBYu7KyIouLi3p62XB/f//3gLW0tKiCfxfY2tqazM/PBwcsKMb+H2DNzc16ALwGcjI2NqbiiQjbdcw9/58yhhRMT0+ruAKuo6NDhdhrBFL8brlobGzUluQenFwU3jRx9MzdagKVC4AxkAtaBwJbWlr6lzsAFOJJy4Ep+qC7SRuBxTLBrLFMX9KxqakpFUV0yrQkai0vL88BjhobHR3V+7Se3t5eq1eyMdOS0K/r62sFTWdgw52dnf51jEIm6OzsrKOJ08ArKystR+oG1tfXZ7Uk08RxH2zQNPH29nbtp9SkfUTlLliA7cEdYF/stqekpMSRVvwagUklnstuew4PD5VJt+3xcrNRAwOcMYocdRggAJaFtNLcKXbSY1ws85lHLS0tLVnpwyhiEgH+LaNop9jLWsOOAWQ/haZBA9B4MGqqtbU1WGttAJLWnZ0dx8eIkQgvCTGWiY8RTjSnNfCPERP4R36+eUp5wDd9FX/AsSO+7heYX7b/ACF5+0+gwCvhAAAAAElFTkSuQmCC"><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif"> to red </span></span><img src="data:image/png;base64,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" style="width:35px; height:35px"><span><span style="font-family:"Calibri",sans-serif">) two times and memory continued piling up again.</span></span></span></span></p> <p><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">Lessons learned for me:</span></span></span></span></p> <ul> <li><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">The task manager is not only a valuable indicator for task activity but also for the interruption/memory freeing process.</span></span></span></span></li> <li><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">Before killing a whole Maple session and potentially losing the last state of a worksheet it can pay off to wait and repeatedly interrupt an operation.</span></span></span></span></li> </ul> <p> </p> <p><span style="font-size:16px;"><span style="font-family:"Times New Roman",serif"><span><span style="font-family:"Calibri",sans-serif">Suggestion: When the maple server gets an interrupt request, it could report to the GUI that it is in an interruption state and is no longer evaluating input. For example changing the message in the status bar from Evaluating... to Interrupting... </span></span></span></span></p> </div> </div> </div> <div class="clearfix"> </div> </div> <div class="postinfo pull-left"> <div class="comments"> <div class="commentbg"> April 28 <div class="mark"> </div> </div> </div> <div class="views"> <i class="fa fa-thumbs-up" style="color: rgba(108,160,194,1.00)"></i> 9 <i class="fa fa-comment" style="color: rgba(109,194,108,1.00)"></i> 3 </div> <div class="time"> <div class="tagList"> <div class="tagList"> <a href="/tags/interrupt"> interrupt</a> <a href="/tags/gui"> gui</a> <a class="addNewTagLink" style="display:none">+ Manage Tags</a> </div> </div> </div> </div> <div class="clearfix"> </div> <div class="row text-center top2footerBG top2footer"><a href='/posts/225391-Interrupting-Maple--Evaluating-Forever'>Read Full Post</a></div> </div> <div class="sidebarblock" style="margin-bottom: 0px;"> <h3>Featured Post</h3> </div> <div class="post" style="height: 350px !important; overflow: hidden; position: relative;"> <div class="wrap-ut pull-left"> <div class="userinfo pull-left"> <div id="ctl00_MainContent__home_topPosts_ctrl1_photo_photoPanel" class="photo"> <a id="ctl00_MainContent__home_topPosts_ctrl1_photo_photoLink" href="/users/Paras31"> <div class="avatar"> <img src="https://www.maplesoft.com/content/MemberPhotos/\4065368_Paras31_20240422174152.jpeg" id="ctl00_MainContent__home_topPosts_ctrl1_photo_memberPhoto" width="75" height="75" /> </div> </a> <div id="editImage" style="background:rgba(0, 0, 0, .6) 70%; display:none; position:absolute; font-size:medium; font-weight: 700; text-align:center; color:White; width:75px; height:75px; top:0; left:25px; z-index:1"> <a href="/account/settings" id="ctl00_MainContent__home_topPosts_ctrl1_photo_Edit" style=""><div style="padding-top:26px; color:White;">Edit</div></a> </div> <div id="ctl00_MainContent__home_topPosts_ctrl1_photo_nameDiv" class="icons"> <div class="views"><a href="/users/Paras31" id="ctl00_MainContent__home_topPosts_ctrl1_photo_memberName"><span id="ctl00_MainContent__home_topPosts_ctrl1_photo_userName">Paras31</span></a></div> <div class="time"><span id="ctl00_MainContent__home_topPosts_ctrl1_photo_userReputation">25</span></div> </div> </div> </div> <div class="posttext pull-left"> <div class="details"> <div class="upper"> <h3> <a href='/posts/225528-Exploring-The-SIR-Model-With-Vaccination'>Exploring the SIR Model...</a></h3> </div> <div class="summary" style="overflow: auto"> <p>In our recent project, we're diving deep into understanding the SIR model—a fundamental framework in epidemiology that helps us analyze how diseases spread through populations. The SIR model categorizes individuals into three groups: <strong>Susceptible (S)</strong>, <strong>Infected (I)</strong>, and <strong>Recovered (R)</strong>. By tracking how people move through these categories, we can predict disease dynamics and evaluate interventions.</p> <p><strong>Key Points of the SIR Model:</strong></p> <ul> <li><strong>Susceptible (S):</strong> Individuals who can catch the disease.</li> <li><strong>Infected (I):</strong> Those currently infected and capable of spreading the disease.</li> <li><strong>Recovered (R):</strong> Individuals who have recovered and developed immunity.</li> </ul> <p><strong>Vaccination Impact:</strong> One of the critical interventions in disease control is vaccination, which moves individuals directly from the susceptible to the recovered group. This simple action reduces the number of people at risk, thereby lowering the overall spread of the disease.</p> <p>We're experimenting with a simple model to understand how different vaccination rates can significantly alter the dynamics of an outbreak. By simulating scenarios with varying vaccination coverage, students can observe how herd immunity plays a crucial role in controlling diseases. Our goal is to make these abstract concepts clear and relatable through practical modeling exercises.</p> <form name="worksheet_form"> <table align="center" width="768"> <tbody> <tr> <td> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><br> </p> <input name="md.ref" type="hidden" value="3F36FF5B3B5627886CD31DC4B1DB89D7"> <table align="center" width="768"> <tbody> <tr> <td> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">In this exercise, we are going back to the simple SIR model, without births or deaths, to look at the effect of vaccination. The aim of this activity is to represent vaccination in a very simple way - we are assuming it already happened before we run our model! By changing the initial conditions, we can prepare the population so that it has received a certain coverage of vaccination.</span><br> <span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;"></span><br> <span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">We are starting with the transmission and recovery parameters </span><img alt="b = .4/days" height="27" src="/ViewTemp.ashx?f=4065368_1715086171/10b7704c9449348a300f4404ee84b713.gif" style="vertical-align:-6px" width="91"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">and </span><img alt="c = .1/days" height="27" src="/ViewTemp.ashx?f=4065368_1715086171/38695221cd7387896081017366d3eae3.gif" style="vertical-align:-6px" width="90"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;"> . To incorporate immunity from vaccination in the model, we assume that a proportion p of the total population starts in the recovered compartment, representing the vaccine coverage and assuming the vaccine is perfectly effective. Again, we assume the epidemic starts with a single infected case introduced into the population.</span><br> <span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">We are going to model this scenario for a duration of 2 years, assuming that the vaccine coverage is 50%, and plot the prevalence in each compartment over time.</span></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;"> </span></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="restart" height="41" src="/ViewTemp.ashx?f=4065368_1715086171/603c4423640b9c2f5a5a3fee00133a40.gif" style="vertical-align:-24px" width="768"><br> <img alt="with(plots)" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/5cfb6200ea37c2e95ac5f2dd68037b9d.gif" style="vertical-align:-6px" width="87"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="b := .4; c := .1; n := 10^6; p := .5" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/7e6d23b1553e305d280056f8e0bd88cd.gif" style="vertical-align:-6px" width="259"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="deS := diff(S(t), t) = -b*S(t)*I0(t); deI := diff(I0(t), t) = b*S(t)*I0(t)-c*I0(t); deR := diff(R(t), t) = c*I0(t)" height="59" src="/ViewTemp.ashx?f=4065368_1715086171/215897707516d0f520a7a73845376269.gif" style="vertical-align:-42px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="diff(R(t), t) = .1*I0(t)" height="42" src="/ViewTemp.ashx?f=4065368_1715086171/a1b90f4e8f1df5a5a8289f2b910b0592.gif" style="vertical-align:-16px" width="175"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(1)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="F := dsolve([deS, deI, deR, S(0) = 1-p, I0(0) = 1/n, R(0) = p], [S(t), I0(t), R(t)], numeric, method = rkf45, maxfun = 100000)" height="60" src="/ViewTemp.ashx?f=4065368_1715086171/bb62cf651b0d15960b0760855d5fafef.gif" style="vertical-align:-43px" width="768"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="odeplot(F, [[t, S(t)], [t, I0(t)], [t, R(t)]], t = 0 .. 730, colour = [blue, red, green], legend = ["S(t)", "I0(t)", "R(t)"], labels = ["Time (days)", " Proportion\nof Population "], title = "SIR Model with vaccine coverage 50 %", size = [500, 300])" height="78" src="/ViewTemp.ashx?f=4065368_1715086171/5fcd361697397080a89b97e1256cca90.gif" style="vertical-align:-61px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" height="300" src="/ViewTemp.ashx?f=4065368_1715086171/fd044f4c3265bdab03204be826567ec7.gif" style="border:none" width="500"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"> </td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="F(100)" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/96b22a72b1c9687cddbb890e10903a8d.gif" style="vertical-align:-6px" width="62"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="[t = 100., S(t) = HFloat(0.46146837378273076), I0(t) = HFloat(0.018483974421123688), R(t) = HFloat(0.5200486517961457)]" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/dd4f4b385a71564d7d6589a1b0419995.gif" style="vertical-align:-6px" width="593"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(2)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="eval(S(:-t), F(100))" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/a8b1c6815d462e0b584a8bf542a2cabb.gif" style="vertical-align:-6px" width="133"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="HFloat(0.46146837378273076)" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/717363ab8bd250ff705b840b900be2fd.gif" style="vertical-align:-6px" width="129"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(3)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="Reff := proc (s) options operator, arrow; b*(eval(S(:-t), F(s)))/(c*n) end proc; Reff(100)" height="41" src="/ViewTemp.ashx?f=4065368_1715086171/c22c20ee36cd398eb906e445ac26f3e1.gif" style="vertical-align:-24px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="HFloat(1.845873495130923e-6)" height="25" src="/ViewTemp.ashx?f=4065368_1715086171/90f4344cd0a8d0016079265865fd748f.gif" style="vertical-align:-6px" width="171"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(4)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="plot(Reff, 0 .. 730, size = [500, 300])" height="6" src="/ViewTemp.ashx?f=4065368_1715086171/9fc1be11dbb7485bfc3f8c481496be09.gif" style="vertical-align:-6px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" height="300" src="/ViewTemp.ashx?f=4065368_1715086171/cb99149f86c70eeff9d1ee65c5b7e0d2.gif" style="border:none" width="500"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"> </td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:8px; padding-bottom:4px"><span style="color:#ff0000;font-size: 150%;font-family: Times New Roman,serif;font-weight:bold;font-style:normal;">Increasing the vaccine coverage to 75%</span></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="NULL" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/3544960b7ecae790e58bc4ca3442a159.gif" style="vertical-align:-6px" width="9"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="restart" height="41" src="/ViewTemp.ashx?f=4065368_1715086171/754f90bd82ca78996ebba2ad1df6ea6d.gif" style="vertical-align:-24px" width="768"><br> <img alt="with(plots)" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/98f256e7c67319ad6f88290daa8aa4bd.gif" style="vertical-align:-6px" width="87"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="b := .4; c := .1; n := 10^6; p := .75" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/1c7a5370e5686dbca9f9a8d683c1c634.gif" style="vertical-align:-6px" width="270"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="deS := diff(S(t), t) = -b*S(t)*I0(t); deI := diff(I0(t), t) = b*S(t)*I0(t)-c*I0(t); deR := diff(R(t), t) = c*I0(t)" height="59" src="/ViewTemp.ashx?f=4065368_1715086171/215ddd2a764c8a88bfa1d9bebc07e8f5.gif" style="vertical-align:-42px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="diff(R(t), t) = .1*I0(t)" height="42" src="/ViewTemp.ashx?f=4065368_1715086171/7826ec0ae1ae1a98fbd8225b28ebf224.gif" style="vertical-align:-16px" width="175"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(5)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="NULL" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/3faa437923a950daf57391dcf74b3529.gif" style="vertical-align:-6px" width="9"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="F1 := dsolve([deS, deI, deR, S(0) = 1-p, I0(0) = 1/n, R(0) = p], [S(t), I0(t), R(t)], numeric, method = rkf45, maxfun = 100000)" height="60" src="/ViewTemp.ashx?f=4065368_1715086171/5b619ea17bf17ed64bf9f853136e9553.gif" style="vertical-align:-43px" width="768"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="odeplot(F1, [[t, S(t)], [t, I0(t)], [t, R(t)]], t = 0 .. 730, colour = [blue, red, green], legend = ["S(t)", "I0(t)", "R(t)"], labels = ["Time (days)", " Proportion\nof Population "], title = "SIR Model with vaccine coverage 75%", size = [500, 300])" height="78" src="/ViewTemp.ashx?f=4065368_1715086171/f4ed8f22bdf3f78061994e33f65caea0.gif" style="vertical-align:-61px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" height="300" src="/ViewTemp.ashx?f=4065368_1715086171/92b161e04704d08fff480fbb2cc05014.gif" style="border:none" width="500"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"> </td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="F(1100)" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/c858b3bd3ff97937055710890b2a5f76.gif" style="vertical-align:-6px" width="73"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="eval(S(:-t), F1(100))" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/a242d8f5792ea0e5ed6f7f11e1678a79.gif" style="vertical-align:-6px" width="140"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="HFloat(0.249990000844159)" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/6bab395f89e8874533ce3d6fd7f4ba4a.gif" style="vertical-align:-6px" width="129"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(6)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="Reff := proc (s) options operator, arrow; b*(eval(S(:-t), F1(s)))/(c*n) end proc; Reff(100)" height="41" src="/ViewTemp.ashx?f=4065368_1715086171/8293c33ebb71d843f42cb6fac784f8b1.gif" style="vertical-align:-24px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="HFloat(9.99960003376636e-7)" height="25" src="/ViewTemp.ashx?f=4065368_1715086171/1321de9c67513972a68ae59f72faeae7.gif" style="vertical-align:-6px" width="171"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(7)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="plot(Reff, 0 .. 730, size = [500, 300])" height="6" src="/ViewTemp.ashx?f=4065368_1715086171/d34bf093abbe78899e18e149365d1d68.gif" style="vertical-align:-6px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" height="300" src="/ViewTemp.ashx?f=4065368_1715086171/f0473f68d0246f5fd3927071a1a3834f.gif" style="border:none" width="500"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"> </td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:8px; padding-bottom:4px"><span style="color:#ff0000;font-size: 150%;font-family: Times New Roman,serif;font-weight:bold;font-style:normal;">Does everyone in the population need to be vaccinated in order to prevent an epidemic?What do you observe if you model the infection dynamics with different values for p?</span></p> <p align="left" style="margin:0 0 0 0; padding-top:8px; padding-bottom:4px"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">No, not everyone in the population needs to be vaccinated in order to prevent an epidemic . In this scenario, if p equals 0.75 or higher, no epidemic occurs - 75 % is the critical vaccination/herd immunity threshold . Remember,, herd immunity describes the phenomenon in which there is sufficient immunity in a population to interrupt transmission . Because of this, not everyone needs to be vaccinated to prevent an outbreak .</span></p> <p align="left" style="margin:0 0 0 0; padding-top:8px; padding-bottom:4px"><span style="color:#ff0000;font-size: 150%;font-family: Times New Roman,serif;font-weight:bold;font-style:normal;">What proportion of the population needs to be vaccinated in order to prevent an epidemic if </span><img alt="b = .4" height="33" src="/ViewTemp.ashx?f=4065368_1715086171/82ff1e76e2c60ac4a8d7e910fcf055f4.gif" style="vertical-align:-8px" width="78"><span style="color:#ff0000;font-size: 150%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">and </span><img alt="c = .2/days" height="46" src="/ViewTemp.ashx?f=4065368_1715086171/6386d4708b41f42afbcfdee72a805657.gif" style="vertical-align:-8px" width="142"><span style="color:#ff0000;font-size: 150%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">? What if </span><img alt="b = .6" height="33" src="/ViewTemp.ashx?f=4065368_1715086171/21e9ca1ea5df69afdc2557f7fa2123ff.gif" style="vertical-align:-8px" width="69"><span style="color:#ff0000;font-size: 150%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;"> and </span><img alt=""c=0.1 days^(-1)?"" height="46" src="/ViewTemp.ashx?f=4065368_1715086171/29908a8eeafced78040f198ee5f98db8.gif" style="vertical-align:-8px" width="151"></p> <p align="left" style="margin:0 0 0 0; padding-top:8px; padding-bottom:4px"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">In the context of the SIR model, the critical proportion of the population that needs to be vaccinated in order to prevent an epidemic is often referred to as the "herd immunity threshold" or "critical vaccination coverage."</span></p> <table style="margin-left:0px;margin-right:0px"> <tbody> <tr valign="baseline"> <td><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">• </span></td> <td> <p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:bold;font-style:normal;">Scenario 1:</span><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;"> </span><img alt="b = .4" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/06450aa43093a64f6726f2383a31b70c.gif" style="vertical-align:-6px" width="50"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">and </span><img alt="c = .2/days" height="27" src="/ViewTemp.ashx?f=4065368_1715086171/e304b164c68093e7cab7a2e8893c2a4e.gif" style="vertical-align:-6px" width="90"><br> <img align="middle" height="40" src="/ViewTemp.ashx?f=4065368_1715086171/7c9f6f438f7d975e856fcb7479e8db39.gif" style="vertical-align:-23px" width="600"><br> <img alt="``" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/3e35d2a6920fe27dcb1b3f1bd640f72a.gif" style="vertical-align:-6px" width="11"></p> </td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="restart" height="41" src="/ViewTemp.ashx?f=4065368_1715086171/e3d2a1ff7ae84a200c85eeaa1f9956ee.gif" style="vertical-align:-24px" width="768"><br> <img alt="with(plots)" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/7d59568fd5c2b80f6aec6e2f88a5e738.gif" style="vertical-align:-6px" width="87"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="b := .4; c := .2; n := 10^6; p := .5" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/51607858102e98ad67b22e674f9e81fc.gif" style="vertical-align:-6px" width="259"><img alt="``" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/f3bb933b18ba41dd65dda0f97cea90b6.gif" style="vertical-align:-6px" width="11"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="deS := diff(S(t), t) = -b*S(t)*I0(t); deI := diff(I0(t), t) = b*S(t)*I0(t)-c*I0(t); deR := diff(R(t), t) = c*I0(t)" height="59" src="/ViewTemp.ashx?f=4065368_1715086171/9a458e77dce925da5b8a2a9a69bfb365.gif" style="vertical-align:-42px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="diff(R(t), t) = .2*I0(t)" height="42" src="/ViewTemp.ashx?f=4065368_1715086171/6ec4056a1b6005b64967d1f408488afa.gif" style="vertical-align:-16px" width="175"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(8)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="F1 := dsolve([deS, deI, deR, S(0) = 1-p, I0(0) = 1/n, R(0) = p], [S(t), I0(t), R(t)], numeric, method = rkf45, maxfun = 100000)" height="60" src="/ViewTemp.ashx?f=4065368_1715086171/c75a6ac3880d28c53783591b9e503230.gif" style="vertical-align:-43px" width="768"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="odeplot(F1, [[t, S(t)], [t, I0(t)], [t, R(t)]], t = 0 .. 730, colour = [blue, red, green], legend = ["S(t)", "I0(t)", "R(t)"], labels = ["Time (days)", " Proportion\nof Population "], title = "SIR Model with vaccine coverage 50 %", size = [500, 300])" height="6" src="/ViewTemp.ashx?f=4065368_1715086171/f81a053cc39f86e78c963b97d40d2db2.gif" style="vertical-align:-6px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" height="300" src="/ViewTemp.ashx?f=4065368_1715086171/d09666048b0468b3c0d98084ca83f447.gif" style="border:none" width="500"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"> </td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><br> <span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">The required vaccination coverage is around 50% .</span></p> <table style="margin-left:0px;margin-right:0px"> <tbody> <tr valign="baseline"> <td><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">• </span></td> <td> <p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:bold;font-style:normal;">Scenario 1:</span><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;"> </span><img alt="b = .6" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/74f400b29ebab2234d44fec97b517565.gif" style="vertical-align:-6px" width="50"><span style="color:#000000;font-size: 100%;font-family: Times New Roman,serif;font-weight:normal;font-style:normal;">and </span><img alt="c = .1/days" height="27" src="/ViewTemp.ashx?f=4065368_1715086171/d4b1f1eab5a684c6ccfe5b0fe9cb79ad.gif" style="vertical-align:-6px" width="90"></p> </td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="restart" height="41" src="/ViewTemp.ashx?f=4065368_1715086171/5930790690b668b3bf71f7d8a9f3c4ef.gif" style="vertical-align:-24px" width="768"><br> <img alt="with(plots)" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/ccb8b74b3591e29f8cafd257d99a8a71.gif" style="vertical-align:-6px" width="87"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="b := .6; c := .1; n := 10^6; p := .83" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/c5b85c9d5dab63748ba4b0948261a268.gif" style="vertical-align:-6px" width="267"><img alt="NULL" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/dee6080122ad01db8265a56a46940658.gif" style="vertical-align:-6px" width="11"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="deS := diff(S(t), t) = -b*S(t)*I0(t); deI := diff(I0(t), t) = b*S(t)*I0(t)-c*I0(t); deR := diff(R(t), t) = c*I0(t)" height="59" src="/ViewTemp.ashx?f=4065368_1715086171/dc22d32d17999d10b58dbecaf7136b32.gif" style="vertical-align:-42px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="diff(R(t), t) = .1*I0(t)" height="42" src="/ViewTemp.ashx?f=4065368_1715086171/ee21aa6534a6023a9422b0748b55226c.gif" style="vertical-align:-16px" width="175"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;">(9)</td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="NULL" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/898f746449741b886cf588f96b7641e8.gif" style="vertical-align:-6px" width="9"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" alt="F1 := dsolve([deS, deI, deR, S(0) = 1-p, I0(0) = 1/n, R(0) = p], [S(t), I0(t), R(t)], numeric, method = rkf45, maxfun = 100000)" height="60" src="/ViewTemp.ashx?f=4065368_1715086171/f77cf54f60ca2be78b6377c581a8e79c.gif" style="vertical-align:-43px" width="768"></p> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt="odeplot(F1, [[t, S(t)], [t, I0(t)], [t, R(t)]], t = 0 .. 730, colour = [blue, red, green], legend = ["S(t)", "I0(t)", "R(t)"], labels = ["Time (days)", " Proportion\nof Population "], title = "SIR Model with vaccine coverage 83% ", size = [500, 300])" height="6" src="/ViewTemp.ashx?f=4065368_1715086171/b6adfa27befe03121b351993a9630e75.gif" style="vertical-align:-6px" width="768"></p> <table> <tbody> <tr valign="baseline"> <td> <p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img align="middle" height="300" src="/ViewTemp.ashx?f=4065368_1715086171/40b3c9b31642d57f403ed3b8bb44a4ea.gif" style="border:none" width="500"></p> </td> <td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"> </td> </tr> </tbody> </table> <p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"><img alt=""The required vaccination coverage is around 83 `%` ."" height="23" src="/ViewTemp.ashx?f=4065368_1715086171/9895560c5ae19a7bca43a0e58b604c48.gif" style="vertical-align:-6px" width="309"></p> </td> </tr> </tbody> </table> <input name="sequence" type="hidden" value="1"> <input name="cmd" type="hidden" value="none"> <p><br> <a href="/ViewTemp.ashx?f=4065368_1715086171/SIR_simple_vaccination_example.mw">Download SIR_simple_vaccination_example.mw</a></p> </td> </tr> </tbody> </table> </form> </div> </div> </div> <div class="clearfix"> </div> </div> <div class="postinfo pull-left"> <div class="comments"> <div class="commentbg"> May 07 <div class="mark"> </div> </div> </div> <div class="views"> <i class="fa fa-thumbs-up" style="color: rgba(108,160,194,1.00)"></i> 0 <i class="fa fa-comment" style="color: rgba(109,194,108,1.00)"></i> 2 </div> <div class="time"> <div class="tagList"> <div class="tagList"> <a href="/tags/ode"> ode</a> <a href="/tags/differential-equations"> differential-equations</a> <a href="/tags/epidemiology"> epidemiology</a> <a class="addNewTagLink" style="display:none">+ Manage Tags</a> </div> </div> </div> </div> <div class="clearfix"> </div> <div class="row text-center top2footerBG top2footer"><a href='/posts/225528-Exploring-The-SIR-Model-With-Vaccination'>Read Full Post</a></div> </div> </div> <!-- Top 2 posts end --> <br /> <!-- more posts --> <div id="morePosts"> <div class="listDoc" id='225303'> <div id="ctl00_MainContent__home_morePosts_ctrl0_PostHeader_header" class="post"> <div class="call"> <div class="post"> <div class="wrap-ut pull-left"> <div class="userinfo pull-left"> <div id="ctl00_MainContent__home_morePosts_ctrl0_PostHeader_photo_photoPanel" class="photo"> <a id="ctl00_MainContent__home_morePosts_ctrl0_PostHeader_photo_photoLink" href="/users/Paras31"> <div class="avatar"> <img src="https://www.maplesoft.com/content/MemberPhotos/\4065368_Paras31_20240422174152.jpeg" id="ctl00_MainContent__home_morePosts_ctrl0_PostHeader_photo_memberPhoto" width="75" height="75" /> </div> </a> <div id="editImage" style="background:rgba(0, 0, 0, .6) 70%; 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Please try again.</p> </div> </div> <div id="middle"> <table> <tr> <td> <label> E-Mail Address:</label> </td> <td> <input style="width: 200px; color: Black; margin-left: 3px;" type="text" id="userPanelEmail" name="userPanelEmail" /> </td> </tr> <tr> <td> <label style="padding-right: 40px;" for="userPass"> Password:</label> </td> <td> <input style="width: 200px; color: Black; margin-left: 3px;" type="password" id="userPanelPass" name="userPanelPass" autocomplete="false" /> </td> </tr> <tr> <td> <label> Remember Me:</label> </td> <td> <input type="checkbox" name="persistLogin" id="persistPanelLogin" checked="checked" />Automatically sign in on future visits </td> </tr> </table> <br /> </div> <div id="bottom"> <br /> <a href="http://www.maplesoft.com/members/member_center_passwordreset.aspx" target="_blank" style="float: right;">Forgot your password?</a> <a href="/register" target="_blank" style="float: left;">Create a New Account</a> </div> </div> </div> <div id="ctl00_sidebar" class="col-lg-3 col-md-3"> <!-- Sidebar Content Before Buttons--> <div class="hidden-sm hidden-xs" style="padding-bottom:20px;"> <!-- ask question --> <a href="/questions/new" style="color:#FFFFFF"><div class="sidebarblockquestion"> <h3><i class="fa fa-question-circle"></i> Ask a Question</h3> </div></a> <!-- create a post --> <a href="/posts/new" id="ctl00_aNewCategoryPost" style="color:#FFFFFF"><div class="sidebarblockcreatepost"> <h3><i class="fa fa-pencil"></i> Create a Post</h3> </div></a> </div> <!-- Sidebar Content After Buttons--> <div id="sidebarHolder"> </div> </div> </div> </div> </div> </section> <!-- footer nav --> <div class="shadow v4"> </div> <div id="footer"> <div class="container" style="padding-top: 30px;"> <div class="col-md-12" style="padding-bottom:10px;"> <div class="row" style="border-bottom: 1px solid #ececec;"> <div class="blocktxt center-block" style="padding-bottom:10px;"> <span style="font-size:16px; color:#ffffff;">Connect with Maplesoft:</span> <a href="http://www.facebook.com/Maplesoft" target="_blank"><i class="fa fa-facebook-square" style="font-size: 30px; padding-right:5px; color:#ffffff"></i></a> <a href="http://www.twitter.com/maplesoft" target="_blank"><i class="fa fa-twitter-square" style="font-size: 30px; padding-right:5px; color:#ffffff"> </i></a> <a href="http://www.linkedin.com/groups?home=&gid=1782256" target="_blank"><i class="fa fa-linkedin-square" style="font-size: 30px; padding-right:5px; color:#ffffff"> </i></a> <a href="http://www.youtube.com/MaplesoftVideo" target="_blank"><i class="fa fa-youtube-square" style="font-size: 30px; padding-right:5px; color:#ffffff"></i></a> </div> </div> </div> <div class="col-md-8"> <div class="row"> <a href="/questions">Questions</a> | <a href="/posts">Posts</a> | <a href="/tags">Tags</a> | <a href="/users">Users</a> | <a href="/unanswered">Unanswered</a> | <a href="/maplesoftblog">Maplesoft Blog</a> | <a href="/badges">Badges</a> | <a href="/recent"> Recent</a> </div> </div> <div class="col-md-4"> <div class="row"> <a href="/help/about">About</a> | <a href="/help">MaplePrimes Help</a> | <a href="https://faq.maplesoft.com/s/article/Maple-Primes-Support">Support</a><br> </div> </div> <div class="col-md-12"> <div class="row"> <div class="blocktxt" style="font-size: smaller;"> © Maplesoft, a division of Waterloo Maple Inc. <script type="text/javascript"> document.write(dateObject.getFullYear()); </script> . | <a href="http://www.maplesoft.com">maplesoft.com</a> | <a href="http://www.maplesoft.com/terms/">Terms of Use</a> | <a href="http://www.maplesoft.com/privacy/"> Privacy</a> | <a href="#" class="termly-display-preferences">Consent Preferences</a> | <a href="http://www.maplesoft.com/trademark/">Trademarks</a></p> <br> </div> </div> </div> </div> </div> <!-- end footer nav --> </div> <script src="/js/BadgeNotify.js" type="text/javascript"></script> <!-- PDF Generate Dialog Box Starts--> <div id="GeneratePDF" title="Save Page as PDF" style="display: none;"> <div id="top"> <div id="generatingPDF"> <h3 style="text-align: center;"> Generating PDF…</h3> <img alt="loading" style="display: block; margin-left: auto; margin-right: auto" src="/images/ajax-loader.gif" /> </div> <div id="downloadPDF" style="display: none; text-align: center;"> <span style="display: block; margin-left: auto; margin-right: auto" class='fa fa-file-pdf-o fa-2x'> <a href="" target="_blank" id="PDFLink">PDF ready for download.</a></span> </div> <div id="pdfGenerateError" style="display: none"> <p style="color: Red; text-align: center;"> Error occurred during PDF generation. Please refresh the page and try again</p> </div> </div> </div> <!-- PDF Generate Dialog Box Ends--> <!-- New Login Dialog box starts --> <!-- Modal --> <div id="loginModel" class="modal fade" role="dialog"> <div class="modal-dialog "> <!-- Modal content--> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal">×</button> <h4 class="modal-title text-center">Login to Your MaplePrimes Account</h4> </div> <div class="modal-body"> <div class="form-horizontal"> <div id="userModelLoginError" class="row" style="display:none;"> <div class="col-md-offset-2 col-md-10"> <p class="text-danger">Wrong Email/Password. Please try again.</p> </div> </div> <div class="row form-group"> <div class="col-md-4">E-Mail Address:</div> <div class="col-md-6"> <input type="email" class="form-control" required id="userModelEmail" name="userEmail" onkeydown = "if (event.keyCode == 13) document.getElementById('btnLogin').click()"/> </div> <div class="col-md-2"></div> </div> <div class="row form-group"> <div class="col-md-4">Password:</div> <div class="col-md-6"> <input class="form-control" type="password" required id="userModelPass" name="userPass" onkeydown = "if (event.keyCode == 13) document.getElementById('btnLogin').click()" autocomplete="false" /> </div> <div class="col-md-2"></div> </div> <div class="row form-group"> <div class="col-md-4">Remember Me:</div> <div class="col-md-6"> <input type="checkbox" name="persistLogin" id="userPersistLogin" checked="checked" />Automatically sign in on future visits </div> <div class="col-md-2"></div> </div> <div class="row form-group"> <div class="col-md-2"></div> <div class="col-md-4"><a href="http://www.maplesoft.com/members/member_center_passwordreset.aspx" target="_blank" class="btn-link btn-primary">Forgot your password?</a></div> <div class="col-md-4"> <a href="/register" target="_blank" class="btn-link btn-primary">Create a New Account</a> </div> <div class="col-md-2"></div> </div> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-default btn-sm" data-dismiss="modal">Close</button> <button type="button" class="btn btn-primary btn-sm" onclick="memberlogin()" id="btnLogin">Login</button> </div> </div> </div> </div> <!-- New Login dialog box ends --> <!-- Focus email field when login modal is shown --> <script> $('#loginModel').on('shown.bs.modal', function() { $('#userModelEmail').focus(); }) </script> <script src="/ckeditor/ckeditor.js" type="text/javascript"></script> <script src="/ckeditor/adapters/jquery.js" type="text/javascript"></script> <script src="/js/newEditor.js?v=1" type="text/javascript"></script> </body> </html>
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