Re: eliminate all the occurrences of "theta ->" and "lambda ->"
- To: mathgroup at smc.vnet.net
- Subject: [mg85596] Re: eliminate all the occurrences of "theta ->" and "lambda ->"
- From: Raj <rajanikanth at gmail.com>
- Date: Thu, 14 Feb 2008 06:28:48 -0500 (EST)
- References: <fp0m2u$5v7$1@smc.vnet.net>
On Feb 13, 11:11 pm, "Richard Hofler" <rhof... at bus.ucf.edu> wrote: > Hello All, > > I'm relatively new to Mathematica. Here's my problem. > > I have this list that I generated from FindMaximum: > > results = {{-5933.0186,{q*4.5785,l*1.0231}}, > {-5960.3876,{q*5.0002,l*1.0085}}, > {-5929.7166,{q*3.9758,l*1.0951}}, > {-5929.4666,{q*3.9308,l*1.3277}}, > {-5933.7226,{q*4.7088,l*1.1294}}, > {-5928.0464,{q*3.6767,l*1.1019}}}; > > How do I eliminate all the occurrences of "q*" and "l*" > to transform it into this list? > > {{4.5785,1.0231},{5.0002,1.0085},{3.9758,1.0951}, > {3.9308,1.3277},{4.7088,1.1294},{3.6767,1.1019}} > > BTW, I can evaluate this function > > Take[Partition[Flatten[results],3],All,2;;3] > > to get to this point: > > {{q*4.5785,l*1.0231},{q*5.0002,l*1.0085},{q*3.9758,l*1.0951},{q*3.9308,l > *1.3277},{q*4.7088,l*1.1294},{q*3.6767,l*1.1019}} > > $Version > 6.0 for Microsoft Windows (32-bit) (June 19, 2007) > > Thanks very much for any help that you may offer. > Richard > > Richard Hofler > Professor > Department of Economics > College of Business Administration > P.O. Box 161400 > University of Central Florida > Orlando, FL 32816-1400 > 407-823-2606 Hope this helps: In[1]:= results = {{-5933.0186,{q*4.5785,l*1.0231}}, {-5960.3876,{q*5.0002,l*1.0085}}, {-5929.7166,{q*3.9758,l*1.0951}}, {-5929.4666,{q*3.9308,l*1.3277}}, {-5933.7226,{q*4.7088,l*1.1294}}, {-5928.0464, {q*3.6767,l*1.1019}}}; In[2]:= results Out[2]= {{-5933.02, {4.5785 q, 1.0231 l}}, {-5960.39, {5.0002 q, 1.0085 l}}, > {-5929.72, {3.9758 q, 1.0951 l}}, {-5929.47, {3.9308 q, 1.3277 l}}, > {-5933.72, {4.7088 q, 1.1294 l}}, {-5928.05, {3.6767 q, 1.1019 l}}} In[3]:= Rest/@results Out[3]= {{{4.5785 q, 1.0231 l}}, {{5.0002 q, 1.0085 l}}, > {{3.9758 q, 1.0951 l}}, {{3.9308 q, 1.3277 l}}, {{4.7088 q, 1.1294 l}}, > {{3.6767 q, 1.1019 l}}} In[4]:= Out[3]/.{q->1,l->1} Out[4]= {{{4.5785, 1.0231}}, {{5.0002, 1.0085}}, {{3.9758, 1.0951}}, > {{3.9308, 1.3277}}, {{4.7088, 1.1294}}, {{3.6767, 1.1019}}} In[5]:= ?Flatten Flatten[list] flattens out nested lists. Flatten[list, n] flattens to level n. Flatten[list, n, h] flattens subexpressions with head h . Flatten[list, {{s , s , ...}, {s , s , ...}, ...}] 11 12 21 22 flattens list by combining all levels s ij to make each level i in the result. In[6]:= Flatten[Out[4],2] Out[6]= {4.5785, 1.0231, 5.0002, 1.0085, 3.9758, 1.0951, 3.9308, 1.3277, > 4.7088, 1.1294, 3.6767, 1.1019} In[7]:= Flatten[Out[4],3] Out[7]= {4.5785, 1.0231, 5.0002, 1.0085, 3.9758, 1.0951, 3.9308, 1.3277, > 4.7088, 1.1294, 3.6767, 1.1019} In[8]:= Flatten[Out[4],1] Out[8]= {{4.5785, 1.0231}, {5.0002, 1.0085}, {3.9758, 1.0951}, > {3.9308, 1.3277}, {4.7088, 1.1294}, {3.6767, 1.1019}} Cheers, Raj