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en-us2014 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSat, 25 Oct 2014 14:28:12 GMTSat, 25 Oct 2014 14:28:12 GMTMaple 15 Questions and Posts on MaplePrimeshttp://www.mapleprimes.com/images/mapleprimeswhite.jpgMaplePrimes - Maple 15 Posts and Questions
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optimal control problem
http://www.mapleprimes.com/questions/202665-Optimal-Control-Problem?ref=Feed:MaplePrimes:Version Maple 15
<p>Hi there,</p>
<p>Is there a way in which i can solve the following optimal control problem numerically with Maple?</p>
<p> dH/dt=λ-µ H-(1-u1)β H V+δ I,</p>
<p>dI/dt=(1-u1)β H V-σ I,</p>
<p>‎dV/dt=(1-u2)k I-γ‎V,</p>
<p>dλ1/dt=-1+λ1µ+β‎‎V(1-u1)(λ1-λ2),‎</p>
<p>dλ2/dt=λ1δ+λ2σ-λ3(1-u2)k‎,‎</p>
<p>‎dλ3/dt=β H(λ1-λ2)(1-u1)‎‎+λ3γ.</p>
<p>where</p>
<p>u1=βHV(λ1-λ2)/A1,</p>
<p>u2=-λ3kI/A2,</p>
<p><span>σ </span><span>= </span><span>α </span><span>+ </span><span>δ,</span></p>
<p><span>and</span></p>
<p>H(0)=1.7*10^8, I(0)=0, V(0)=400.</p>
<p> </p>
<p>λ=5*10^5, µ=0.003, β=4*10^(-10), α=0.043, δ= 0.2 k=6.24, γ‎=0.65.</p>
<p>A1=900, A2=1000.</p>
<p> </p>
<p>Answers and advice are very appreciated. </p>
<p>Thank you all for reading.</p>
<p>Aylin</p><p>Hi there,</p>
<p>Is there a way in which i can solve the following optimal control problem numerically with Maple?</p>
<p> dH/dt=λ-µ H-(1-u1)β H V+δ I,</p>
<p>dI/dt=(1-u1)β H V-σ I,</p>
<p>‎dV/dt=(1-u2)k I-γ‎V,</p>
<p>dλ1/dt=-1+λ1µ+β‎‎V(1-u1)(λ1-λ2),‎</p>
<p>dλ2/dt=λ1δ+λ2σ-λ3(1-u2)k‎,‎</p>
<p>‎dλ3/dt=β H(λ1-λ2)(1-u1)‎‎+λ3γ.</p>
<p>where</p>
<p>u1=βHV(λ1-λ2)/A1,</p>
<p>u2=-λ3kI/A2,</p>
<p><span data-mce-mark="1">σ </span><span data-mce-mark="1">= </span><span data-mce-mark="1">α </span><span data-mce-mark="1">+ </span><span data-mce-mark="1">δ,</span></p>
<p><span data-mce-mark="1">and</span></p>
<p>H(0)=1.7*10^8, I(0)=0, V(0)=400.</p>
<p> </p>
<p>λ=5*10^5, µ=0.003, β=4*10^(-10), α=0.043, δ= 0.2 k=6.24, γ‎=0.65.</p>
<p>A1=900, A2=1000.</p>
<p> </p>
<p>Answers and advice are very appreciated. </p>
<p>Thank you all for reading.</p>
<p>Aylin</p>202665Wed, 22 Oct 2014 21:49:53 ZaylinaylinEvaluating a function at a number of points at once, is it possible?
http://www.mapleprimes.com/questions/202595-Evaluating-A-Function-At-A-Number-Of?ref=Feed:MaplePrimes:Version Maple 15
<p>Is it possible to evaluate a function at multiple points described by an array or something of that sort and have Maple return the evaluations as an array. I need approximations of a function at various values of its argument so it would be nice to do it with a single command.</p>
<p>Thanks</p><p>Is it possible to evaluate a function at multiple points described by an array or something of that sort and have Maple return the evaluations as an array. I need approximations of a function at various values of its argument so it would be nice to do it with a single command.</p>
<p>Thanks</p>202595Tue, 14 Oct 2014 22:38:00 ZVesnogVesnogStepwise solution to the intgeral?
http://www.mapleprimes.com/questions/202572-Stepwise-Solution-To-The-Intgeral?ref=Feed:MaplePrimes:Version Maple 15
<p>How can I find stepwise solution of the following integral?</p>
<p>Int(exp(-xi^2*b^2)*cos(xi^2*a*t)*cos(xi*x), xi = 0 .. infinity)</p>
<p>where xi greek letter.. </p><p>How can I find stepwise solution of the following integral?</p>
<p>Int(exp(-xi^2*b^2)*cos(xi^2*a*t)*cos(xi*x), xi = 0 .. infinity)</p>
<p>where xi greek letter.. </p>202572Sun, 12 Oct 2014 05:53:50 ZharkiratharkiratMaple 15 Packages not loaded when `Execute all` command is used
http://www.mapleprimes.com/questions/202569-Maple-15-Packages-Not-Loaded-When-Execute?ref=Feed:MaplePrimes:Version Maple 15
<p>I am Maple 15 student edition user and the packages is not loaded when I use the execute all command from the GUI. I have to manually press the enter key to have by package loaded before I use a function defined in the package. How can I work around this issue?</p>
<p>Thanks</p>
<p>P.S: You can see the Maple document attached to this post.</p>
<p><a href="/view.aspx?sf=202569_question/NumericalSimulation.mw">NumericalSimulation.mw</a></p><p>I am Maple 15 student edition user and the packages is not loaded when I use the execute all command from the GUI. I have to manually press the enter key to have by package loaded before I use a function defined in the package. How can I work around this issue?</p>
<p>Thanks</p>
<p>P.S: You can see the Maple document attached to this post.</p>
<p><a href="/view.aspx?sf=202569_question/NumericalSimulation.mw">NumericalSimulation.mw</a></p>202569Sat, 11 Oct 2014 11:42:31 ZVesnogVesnogDifferentiation with respect to a function
http://www.mapleprimes.com/questions/202563-Differentiation-With-Respect-To-A-Function?ref=Feed:MaplePrimes:Version Maple 15
<p>In Maple 15 is it possible to differentiate with respect to say <strong>x - y </strong>instead of <strong>x</strong> ? </p>
<p> </p>
<p>Thanks</p><p>In Maple 15 is it possible to differentiate with respect to say <strong>x - y </strong>instead of <strong>x</strong> ? </p>
<p> </p>
<p>Thanks</p>202563Fri, 10 Oct 2014 21:38:01 ZVesnogVesnogHow to see the command executed in Maple when right-click menu is used
http://www.mapleprimes.com/questions/202534-How-To-See-The-Command-Executed-In-Maple?ref=Feed:MaplePrimes:Version Maple 15
<p>Greetings,</p>
<p>I am a Maple 15 Student Edition user on both Windows and Linux. I wonder if it is possible to see the actual command send to Maple when I click on a particular entry in the right click context menu. If it is possible to do so, how can I have it displayed in document/worksheet mode? Does it matter if I am inputting in 1D or 2D?</p>
<p>Thanks in advance</p><p>Greetings,</p>
<p>I am a Maple 15 Student Edition user on both Windows and Linux. I wonder if it is possible to see the actual command send to Maple when I click on a particular entry in the right click context menu. If it is possible to do so, how can I have it displayed in document/worksheet mode? Does it matter if I am inputting in 1D or 2D?</p>
<p>Thanks in advance</p>202534Tue, 07 Oct 2014 00:07:12 ZVesnogVesnogHow to draw 3D graph from 4 variables
http://www.mapleprimes.com/questions/202371-How-To-Draw-3D-Graph-From-4-Variables-?ref=Feed:MaplePrimes:Version Maple 15
<p>How can I plot a volume (many surfaces) in X,Y, Z axis where X,Y,Z are functions in 4 variables (a,b,c,d), and the domain for the 4 variables are </p>
<p>-90<=a>=90, -10<=b>=10, -12<=c>=12, -90<=d>=0,</p>
<p> </p>
<p>X := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end proc<img class="math" src="../images/mathml.png" alt="X := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end proc"></p>
<p>Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc</p>
<p><img class="math" src="../images/mathml.png" alt="Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc"></p>
<p>Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc</p>
<p><img class="math" src="../images/mathml.png" alt="Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc"></p><p>How can I plot a volume (many surfaces) in X,Y, Z axis where X,Y,Z are functions in 4 variables (a,b,c,d), and the domain for the 4 variables are </p>
<p>-90<=a>=90, -10<=b>=10, -12<=c>=12, -90<=d>=0,</p>
<p> </p>
<p>X := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end proc<img class="math" src="../images/mathml.png" alt="X := proc (a, b, c, d) options operator, arrow; 324.*cos(b)*sin(c)*cos(d)+324.*sin(b)*sin(d)+323.5*cos(b)*sin(c) end proc" /></p>
<p>Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc</p>
<p><img class="math" src="../images/mathml.png" alt="Y := proc (a, b, c, d) options operator, arrow; (324*1.*sin(a)*sin(b)*sin(c)+324*1.*cos(a)*cos(c))*cos(d)+(-1)*324.*sin(a)*cos(b)*sin(d)+323.5*sin(a)*sin(b)*sin(c)+323.5*cos(a)*cos(c)-100 end proc" /></p>
<p>Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc</p>
<p><img class="math" src="../images/mathml.png" alt="Z := proc (a, b, c, d) options operator, arrow; (324*cos(a)*sin(b)*sin(c)-324*sin(a)*cos(c))*cos(d)-324*cos(a)*cos(b)*sin(d)+323.5*cos(a)*sin(b)*sin(c)+(-1)*323.5*sin(a)*cos(c)+150 end proc" /></p>202371Tue, 16 Sep 2014 15:36:40 ZkfodakfodaPrime sum question
http://www.mapleprimes.com/questions/202342-Prime-Sum-Question-?ref=Feed:MaplePrimes:Version Maple 15
<p>According to this site,"It is known that every even number can be written as a sum of at most six primes". </p>
<p>http://www.theage.com.au/national/education/christians-goldbachs-magic-sum-20140903-3es2t.html</p>
<p>i wanted to test this using maple.</p>
<p>restart:<br>> PF := proc (a::integer)</p>
<p>> local cst,obj,res; <br>> cst := add(x[i], i = 1 .. numtheory:-pi(prevprime(a))) <= 6; <br>> obj := add(x[i]*ithprime(i), i = 1 .. numtheory:-pi(prevprime(a)))-a; <br>> res := Optimization:-LPSolve(obj, {cst ,obj>=0}, assume={nonnegative,integer}); end proc:<br>> PF(30);<br>[0, [x[1] = 0, x[2] = 0, x[3] = 6, x[4] = 0, x[5] = 0, x[6] = 0,x[7] = 0, x[8] = 0, x[9] = 0, x[10] = 0]]</p>
<p>the third prime is 5 and 6 of them make 30. as an aside, it would be nice to know how to get maple to output "30 = 6x5".</p>
<p>this is obviously pretty limited, because 30 can be written as the sum of two primes (7+23 and 11+19) [GOLDBACH], but using DS's GlobalSearch for all solutions takes a long time to compute. also I have to nominate the highest prime.</p>
<p>any suggestions?</p><p>According to this site,"It is known that every even number can be written as a sum of at most six primes". </p>
<p>http://www.theage.com.au/national/education/christians-goldbachs-magic-sum-20140903-3es2t.html</p>
<p>i wanted to test this using maple.</p>
<p>restart:<br>> PF := proc (a::integer)</p>
<p>> local cst,obj,res; <br>> cst := add(x[i], i = 1 .. numtheory:-pi(prevprime(a))) <= 6; <br>> obj := add(x[i]*ithprime(i), i = 1 .. numtheory:-pi(prevprime(a)))-a; <br>> res := Optimization:-LPSolve(obj, {cst ,obj>=0}, assume={nonnegative,integer}); end proc:<br>> PF(30);<br>[0, [x[1] = 0, x[2] = 0, x[3] = 6, x[4] = 0, x[5] = 0, x[6] = 0,x[7] = 0, x[8] = 0, x[9] = 0, x[10] = 0]]</p>
<p>the third prime is 5 and 6 of them make 30. as an aside, it would be nice to know how to get maple to output "30 = 6x5".</p>
<p>this is obviously pretty limited, because 30 can be written as the sum of two primes (7+23 and 11+19) [GOLDBACH], but using DS's GlobalSearch for all solutions takes a long time to compute. also I have to nominate the highest prime.</p>
<p>any suggestions?</p>202342Thu, 11 Sep 2014 14:44:03 Zbrian bovrilbrian bovrilInterpolate Polar Coordinates
http://www.mapleprimes.com/questions/202175-Interpolate-Polar-Coordinates?ref=Feed:MaplePrimes:Version Maple 15
<p>Hello,</p>
<p>How do I interpolate using polar coordinates? I have a series with non-uniform spacing, that I want to map onto a uniform space polar grid.</p>
<p>Any assistance would be appreciated.</p><p>Hello,</p>
<p>How do I interpolate using polar coordinates? I have a series with non-uniform spacing, that I want to map onto a uniform space polar grid.</p>
<p>Any assistance would be appreciated.</p>202175Sat, 16 Aug 2014 09:18:56 ZAndrew LindsayAndrew Lindsaysolve system symbolic
http://www.mapleprimes.com/questions/202032-Solve-System-Symbolic?ref=Feed:MaplePrimes:Version Maple 15
<p>Hello every one,</p>
<p>I had a 3 equations with 3 unknown (X,Y,Z, conjugate(Y),conjugate(Z))</p>
<p>this is the code:</p>
<p>solve( {ao*x + a1*y + conjugate(a1)*conjugate(y)+a2*z+conjugate(a2)*conjugate(z) = 0.5, conjugate(a1)*x + bo*y + conjugate(a2)*conjugate(y)+a1*z = 0, 10*x + 10*y/4 + 10*z = 10}, {x, y, z});</p>
<p>where the coefficients are complex numbers</p>
<p>Is thee any simple way to solve it</p>
<p>thanks</p><p>Hello every one,</p>
<p>I had a 3 equations with 3 unknown (X,Y,Z, conjugate(Y),conjugate(Z))</p>
<p>this is the code:</p>
<p>solve( {ao*x + a1*y + conjugate(a1)*conjugate(y)+a2*z+conjugate(a2)*conjugate(z) = 0.5, conjugate(a1)*x + bo*y + conjugate(a2)*conjugate(y)+a1*z = 0, 10*x + 10*y/4 + 10*z = 10}, {x, y, z});</p>
<p>where the coefficients are complex numbers</p>
<p>Is thee any simple way to solve it</p>
<p>thanks</p>202032Wed, 23 Jul 2014 00:38:14 Zadel-00adel-00Exporting Contourplot with higher resolution then 72 dpi?
http://www.mapleprimes.com/questions/202000-Exporting-Contourplot-With-Higher-Resolution?ref=Feed:MaplePrimes:Version Maple 15
<p>Hi experts,</p>
<p>the standard resolution for maple contourplots is 72 dpi wich is not suitable for publication purposes. I need at least a resolution between 500 - 1000 dpi. How do I get better resolutions for my contourplots when exporting them to .bmp or .jpg-files?<br>Somebody any ideas?</p><p>Hi experts,</p>
<p>the standard resolution for maple contourplots is 72 dpi wich is not suitable for publication purposes. I need at least a resolution between 500 - 1000 dpi. How do I get better resolutions for my contourplots when exporting them to .bmp or .jpg-files?<br />Somebody any ideas?</p>202000Thu, 17 Jul 2014 18:55:12 ZzippozippoVector math and conditional functions
http://www.mapleprimes.com/questions/201998-Vector-Math-And-Conditional-Functions?ref=Feed:MaplePrimes:Version Maple 15
<p>Level: Idiot (Me)</p>
<p>I have a matrix of 3 columns and lots of rows M</p>
<ul>
<li><span style="font-size: 10px;">First column is latitude in degrees</span></li>
<li><span style="font-size: 10px;">Second column is longitude in degrees</span></li>
<li><span style="font-size: 10px;">Third column is data</span></li>
</ul>
<p>So I set lambda:=M(..,1) and phi_g:=M(..,2) giving me two column vectors.</p>
<p>I want to convert lambda and phi_g to polar coordinates theta and phi</p>
<p>theta:=90-lambda produces "Error, (in rtable/Sum) invalid arguments"</p>
<p>WHY?</p>
<p>I also want to convert phi_g to phi where phi=phi_g when phi_g is 0...180 and phi=phi_g +360 when phi_g <0</p>
<p>How do I create a conditional function like this?</p><p>Level: Idiot (Me)</p>
<p>I have a matrix of 3 columns and lots of rows M</p>
<ul>
<li><span style="font-size: 10px;">First column is latitude in degrees</span></li>
<li><span style="font-size: 10px;">Second column is longitude in degrees</span></li>
<li><span style="font-size: 10px;">Third column is data</span></li>
</ul>
<p>So I set lambda:=M(..,1) and phi_g:=M(..,2) giving me two column vectors.</p>
<p>I want to convert lambda and phi_g to polar coordinates theta and phi</p>
<p>theta:=90-lambda produces "Error, (in rtable/Sum) invalid arguments"</p>
<p>WHY?</p>
<p>I also want to convert phi_g to phi where phi=phi_g when phi_g is 0...180 and phi=phi_g +360 when phi_g <0</p>
<p>How do I create a conditional function like this?</p>201998Thu, 17 Jul 2014 14:04:29 ZJAndJAndexport plot as gif file empty
http://www.mapleprimes.com/questions/201839-Export-Plot-As-Gif-File-Empty?ref=Feed:MaplePrimes:Version Maple 15
<p>i am trying to export an animated gif file but the export windows freezes and exports an empty file with zero bytes</p>
<p>the animation was created by: display(map(p, convert(A(() .. (), 2), list)), insequence = true)</p>
<p>i have tried to give maple some time (2-3 hours) and i even tried to restart the computer and lauch maple and try to export it but it didnt worked</p>
<p>how can i export it or how can i plot the using commands</p>
<p> </p><p>i am trying to export an animated gif file but the export windows freezes and exports an empty file with zero bytes</p>
<p>the animation was created by: display(map(p, convert(A(() .. (), 2), list)), insequence = true)</p>
<p>i have tried to give maple some time (2-3 hours) and i even tried to restart the computer and lauch maple and try to export it but it didnt worked</p>
<p>how can i export it or how can i plot the using commands</p>
<p> </p>201839Mon, 23 Jun 2014 20:29:30 Zmkj256mkj256how to convert a ODE/DAE system to a real system
http://www.mapleprimes.com/questions/201730-How-To-Convert-A-ODEDAE-System-To-A-Real-System?ref=Feed:MaplePrimes:Version Maple 15
<p>I am using Maple 15 to numerically solve a system of differential algebraic euqations (DAE) with given initial conditions, and I've tried rfk45_dae and rosenbrock_dae solver, but both solver responded in error like this</p>
<p> </p>
<p>Error, (in dsolve/numeric) cannot numerically solve complex DAE initial value problems, the system must be converted to a real system</p>
<p> </p>
<p>I don't understand what is a real system, and how could i convert it to a real system.</p>
<p> </p><p>I am using Maple 15 to numerically solve a system of differential algebraic euqations (DAE) with given initial conditions, and I've tried rfk45_dae and rosenbrock_dae solver, but both solver responded in error like this</p>
<p> </p>
<p>Error, (in dsolve/numeric) cannot numerically solve complex DAE initial value problems, the system must be converted to a real system</p>
<p> </p>
<p>I don't understand what is a real system, and how could i convert it to a real system.</p>
<p> </p>201730Wed, 04 Jun 2014 04:47:42 Zxmmoodxmmoodhow to solve differential equations with variables interdependent
http://www.mapleprimes.com/questions/201703-How-To-Solve-Differential-Equations?ref=Feed:MaplePrimes:Version Maple 15
<p> </p>
<p>i am using maple to solve a system of ordinary differential equations , 3 unknows (x,y, x ), and 3 equations (dx/dt,dy/dt,dz/dt)</p>
<p>there is one known variable denpendent on x and z</p>
<p># code begins here</p>
<p>if x(t) <= z(t) then Q(t) := 8 end if;</p>
<p>if x(t) > z(t) then Q(t) := 10 end if;</p>
<p> </p>
<p>eq1 := diff(x(t), t) = 3*x(t)-1;</p>
<p>eq2 := diff(y(t), t) = y(t)+Q(t);</p>
<p>eq3 := diff(z(t), t) = z(t);</p>
<p>eqs := {eq1, eq2, eq3};</p>
<p> </p>
<p># code ends here</p>
<p> </p>
<p>above i put the system of ODEs, the code maybe illegal in maple, but i wrote in this way to make it clear.</p>
<p>Q is dependent on x and z.</p>
<p> </p>
<p>in the past, when i was trying to solve ODEs, normally, eqs contains with only x,y,z as unknowns. but in this eqs, clearly, Q is included as an unknown. </p>
<p> </p>
<p>i've tried to use piecewise function to express Q(t), but failed.</p>
<p> </p>
<p>how could i solve a system like this? thanks </p>
<p> </p>
<p> </p><p> </p>
<p>i am using maple to solve a system of ordinary differential equations , 3 unknows (x,y, x ), and 3 equations (dx/dt,dy/dt,dz/dt)</p>
<p>there is one known variable denpendent on x and z</p>
<p># code begins here</p>
<p>if x(t) <= z(t) then Q(t) := 8 end if;</p>
<p>if x(t) > z(t) then Q(t) := 10 end if;</p>
<p> </p>
<p>eq1 := diff(x(t), t) = 3*x(t)-1;</p>
<p>eq2 := diff(y(t), t) = y(t)+Q(t);</p>
<p>eq3 := diff(z(t), t) = z(t);</p>
<p>eqs := {eq1, eq2, eq3};</p>
<p> </p>
<p># code ends here</p>
<p> </p>
<p>above i put the system of ODEs, the code maybe illegal in maple, but i wrote in this way to make it clear.</p>
<p>Q is dependent on x and z.</p>
<p> </p>
<p>in the past, when i was trying to solve ODEs, normally, eqs contains with only x,y,z as unknowns. but in this eqs, clearly, Q is included as an unknown. </p>
<p> </p>
<p>i've tried to use piecewise function to express Q(t), but failed.</p>
<p> </p>
<p>how could i solve a system like this? thanks </p>
<p> </p>
<p> </p>201703Sat, 31 May 2014 05:51:12 Zxmmoodxmmood