MaplePrimes - Questions and Posts tagged with model
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Nonlinear regression (2)
http://www.mapleprimes.com/questions/204468-Nonlinear-Regression-2?ref=Feed:MaplePrimes:Tagged With model
<div style="padding: 10px 0px 10px 0px; overflow: auto;">
<p>Hello everyone,</p>
<p>I have an nx2 matrix of (x,w) , I need to fit a curve of the form of w = a*( ((x/b)-1)/c+1)^c to the data. since there is a (1/c)^c factor inside the model, I couldn't use any of the regression models that I knew. I'd greatly appreciate any comments that could help me to find the optimum values for a, b and c through regression methods.</p>
<p>Thanks a lot,</p>
<p>Haley</p>
</div>204468Fri, 12 Jun 2015 19:16:18 ZHaley_VSRCHaley_VSRCPicking the right model by min
http://www.mapleprimes.com/questions/204394-Picking-The-Right-Model-By-Min?ref=Feed:MaplePrimes:Tagged With model
<p>loock i have 3 models and a Matrix<br>>m3:=importmatrix("loslobos.txt");<br>>model[1]:=a*x;<br>>model[2]:=a^2*x+b;<br>>model[3]:=C-x^2+a;<br><br>so i apply a command named DataFit and it gives me <br>>g:=Datafit(matrix,model[1]);<br><br>and that throws<br> g:=[3,[a:=5],33];<br>so <br> >g[1];<br>3<br> >g[2];<br>5<br> >g[3];<br>33<br>the variable that i care about is g[1] so every 3 models have differents g[1] so i need to pick the smallest g[1] and then use his model.<br>Example:=<br>>g:=Datafit(matrix,model[1]);<br>g:=[3,[a:=5],33];<br>>gg:=Datafit(matrix,model[2]);<br>gg:=[10,[a:=5,b:=10],44];<br>>G:=Datafit(matrix,model[3]);<br>G:=[1.1,[C:=5,a:=2],88];<br><br>then <br><br>>plots:-display(plot(m3, style = point, symbol = diamond, symbolsize = 9), plot(eval("<strong>MODEL THAT SHOULD BE PLOT"</strong>, <strong>THE G[2] OF THE MODEL</strong>), x = 0 .. 27, color = black));<br><br>The right one here would be <br><br>>plots:-display(plot(m3, style = point, symbol = diamond, symbolsize = 9), plot(eval(model[3], G[2]), x = 0 .. 27, color = black));<br><br>so how do i select the model[3] for my plot? i knnow how the eval works so the problem here is to pick the right model please Help i hope that i isn't that Hard thnx<br> </p><p>loock i have 3 models and a Matrix<br>>m3:=importmatrix("loslobos.txt");<br>>model[1]:=a*x;<br>>model[2]:=a^2*x+b;<br>>model[3]:=C-x^2+a;<br><br>so i apply a command named DataFit and it gives me <br>>g:=Datafit(matrix,model[1]);<br><br>and that throws<br> g:=[3,[a:=5],33];<br>so <br> >g[1];<br>3<br> >g[2];<br>5<br> >g[3];<br>33<br>the variable that i care about is g[1] so every 3 models have differents g[1] so i need to pick the smallest g[1] and then use his model.<br>Example:=<br>>g:=Datafit(matrix,model[1]);<br>g:=[3,[a:=5],33];<br>>gg:=Datafit(matrix,model[2]);<br>gg:=[10,[a:=5,b:=10],44];<br>>G:=Datafit(matrix,model[3]);<br>G:=[1.1,[C:=5,a:=2],88];<br><br>then <br><br>>plots:-display(plot(m3, style = point, symbol = diamond, symbolsize = 9), plot(eval("<strong>MODEL THAT SHOULD BE PLOT"</strong>, <strong>THE G[2] OF THE MODEL</strong>), x = 0 .. 27, color = black));<br><br>The right one here would be <br><br>>plots:-display(plot(m3, style = point, symbol = diamond, symbolsize = 9), plot(eval(model[3], G[2]), x = 0 .. 27, color = black));<br><br>so how do i select the model[3] for my plot? i knnow how the eval works so the problem here is to pick the right model please Help i hope that i isn't that Hard thnx<br> </p>204394Wed, 03 Jun 2015 02:35:30 Z8595197185951971How do I solve s systems of pdes in maple
http://www.mapleprimes.com/questions/204321-How-Do-I-Solve-S-Systems-Of-Pdes-In-Maple?ref=Feed:MaplePrimes:Tagged With model
<p>The model of fixed-bed adsorption column</p>
<p><strong>Fluid phase:</strong></p>
<p>PDE:= diff(U(x, tau),tau)+ psi*Theta*diff(U(x, tau),x)-(1/Pe)*psi*Theta*diff(U(x, tau),$(x, 2))=-3*psi*xi*(U(x, tau)-Q/K);</p>
<p> </p>
<p>IBC:={U(x, 0) = 0,U(0, tau) = 1+(1/Pe)*(D[1](U))(0, tau),(D[1](U))(1, tau)=0};</p>
<p><strong>Particle:</strong></p>
<p>PDE:= diff(Q(r, tau), tau) = diff(Q(r, tau), $(r, 2))+(2/r)*diff(Q(r, tau),r);</p>
<p>IBC:={Q(r, 0) = 0,(D[1](Q))(0, tau) = 0,(1/K)*(D[1](Q))(1, tau)=xi*(U-Q(1, tau)/K)};</p>
<p>Pe:=0.01:</p>
<p>psi:=6780:</p>
<p>Theta:=3.0:</p>
<p>xi:=10000:</p>
<p>I will really appreciate your help. Thanks in anticipation.</p><p>The model of fixed-bed adsorption column</p>
<p><strong>Fluid phase:</strong></p>
<p>PDE:= diff(U(x, tau),tau)+ psi*Theta*diff(U(x, tau),x)-(1/Pe)*psi*Theta*diff(U(x, tau),$(x, 2))=-3*psi*xi*(U(x, tau)-Q/K);</p>
<p> </p>
<p>IBC:={U(x, 0) = 0,U(0, tau) = 1+(1/Pe)*(D[1](U))(0, tau),(D[1](U))(1, tau)=0};</p>
<p><strong>Particle:</strong></p>
<p>PDE:= diff(Q(r, tau), tau) = diff(Q(r, tau), $(r, 2))+(2/r)*diff(Q(r, tau),r);</p>
<p>IBC:={Q(r, 0) = 0,(D[1](Q))(0, tau) = 0,(1/K)*(D[1](Q))(1, tau)=xi*(U-Q(1, tau)/K)};</p>
<p>Pe:=0.01:</p>
<p>psi:=6780:</p>
<p>Theta:=3.0:</p>
<p>xi:=10000:</p>
<p>I will really appreciate your help. Thanks in anticipation.</p>204321Wed, 27 May 2015 09:37:14 ZOloyemikeOloyemikeError occurred when I simulate a build-in model
http://www.mapleprimes.com/questions/204119-Error-Occurred-When-I-Simulate-A-Buildin-Model?ref=Feed:MaplePrimes:Tagged With model
<p>The following error occurred when I simulate a build-in model, anyone could help me to solve this problem? Thanks first</p>
<p><img src="http://www.packme.cn/forum.php?mod=attachment&aid=NDM3NXxkOTYwYzVmYnwxNDMwNDc5MjA5fDIzNTZ8MjUxMg%3D%3D" alt=""></p><p>The following error occurred when I simulate a build-in model, anyone could help me to solve this problem? Thanks first</p>
<p><img src="http://www.packme.cn/forum.php?mod=attachment&aid=NDM3NXxkOTYwYzVmYnwxNDMwNDc5MjA5fDIzNTZ8MjUxMg%3D%3D" alt="" /></p>204119Fri, 01 May 2015 11:21:16 Zzhong chenzhong chen[MapleSim7] Setting the direction of "prismatic joint"
http://www.mapleprimes.com/questions/203819-MapleSim7-Setting-The-Direction-Of?ref=Feed:MaplePrimes:Tagged With model
<p>I want to make the model which moves along the specific direction (translational), So I used the "prismatic joint" to give the direction that I want to enforce. However, "Prismatic joint" only offers the direction along the "X", "Y", and "Z" axes though I want to give other direction.</p>
<p> </p>
<p>Is there any way to give the specific direction (vector) to make my model move in that way ?</p><p>I want to make the model which moves along the specific direction (translational), So I used the "prismatic joint" to give the direction that I want to enforce. However, "Prismatic joint" only offers the direction along the "X", "Y", and "Z" axes though I want to give other direction.</p>
<p> </p>
<p>Is there any way to give the specific direction (vector) to make my model move in that way ?</p>203819Thu, 26 Mar 2015 03:39:14 ZRNHRNHCompute and display isoclines (nullclines) for an ODE system
http://www.mapleprimes.com/questions/203159-Compute-And-Display-Isoclines-nullclines?ref=Feed:MaplePrimes:Tagged With model
<p>Hi there,</p>
<p>I would like to compute and display the nullclines of a set of ordinary differential equations.</p>
<p>AFAIK, I can compute the nullclines in Maple by defining the equations and solving the system</p>
<p>e.g.:</p>
<p><strong># Define the equations</strong><br><strong>eq1 := u(t)*(1-u(t)/kappa)-u(t)*v(t) = 0;</strong><br><strong>eq2 := g*(u(t)-1)*v(t) = 0;</strong><br><br><strong># Solve the system (i.e. compute the nullclines)</strong><br><strong>sol := solve({eq1, eq2}, {u(t), v(t)})</strong>;</p>
<p>However, I am not quite able to imagine how to display them over a <strong>dfieldplot</strong> or a <strong>phaseportrait</strong>.</p>
<p>Attached is an example with some differential equations, and their vector field and trajectories: <a href="/view.aspx?sf=203159_question/MaplePrimes_Predator_prey_model_nullclines.mw">MaplePrimes_Predator_prey_model_nullclines.mw</a>.</p>
<p>It can be use to illustrate how to (compute and) display the nullclines.</p>
<p> </p>
<p>Thank you,</p>
<p>jon</p><p>Hi there,</p>
<p>I would like to compute and display the nullclines of a set of ordinary differential equations.</p>
<p>AFAIK, I can compute the nullclines in Maple by defining the equations and solving the system</p>
<p>e.g.:</p>
<p><strong># Define the equations</strong><br><strong>eq1 := u(t)*(1-u(t)/kappa)-u(t)*v(t) = 0;</strong><br><strong>eq2 := g*(u(t)-1)*v(t) = 0;</strong><br><br><strong># Solve the system (i.e. compute the nullclines)</strong><br><strong>sol := solve({eq1, eq2}, {u(t), v(t)})</strong>;</p>
<p>However, I am not quite able to imagine how to display them over a <strong>dfieldplot</strong> or a <strong>phaseportrait</strong>.</p>
<p>Attached is an example with some differential equations, and their vector field and trajectories: <a href="/view.aspx?sf=203159_question/MaplePrimes_Predator_prey_model_nullclines.mw">MaplePrimes_Predator_prey_model_nullclines.mw</a>.</p>
<p>It can be use to illustrate how to (compute and) display the nullclines.</p>
<p> </p>
<p>Thank you,</p>
<p>jon</p>203159Mon, 29 Dec 2014 17:20:25 Zjonlgjonlg