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I wonder if someone could help explain to me how to use Matrix equations. Suppose A is a 3x3 matrix of constants, b a 3 vector of variables (x,y,z) and c a 3 vector of constants. The equation A.b = c is really 3 equations in x y z. Is it possible to extract those equations from the matrix equation A.b = c? I explain my question more clearly in the uploaded worksheet. Thanks The link can be found in the File Manager Vie

 

NEWEST VERSION OF MAPLESOFT’S FLAGSHIP PRODUCT DRAMATICALLY IMPROVES USER EXPERIENCE

Maple 11 is the Ideal Tool for Engineers and Scientists to Streamline and Increase Quality of Analytical Work

WATERLOO, CANADA, January 8, 2007 — Maplesoft™, the leading provider of high-performance software tools for engineering, science and mathematics, announced a major release of Maple™, the company’s flagship product. Maple 11 features enhancements to its smart document interface, strong computation engine, and connectivity capabilities. The result is a product that provides users the necessary technology to reduce error and dramatically increase analytical productivity.

With Maple 11, the company is advancing the revolutionary technical document interface technology it introduced two years ago. The new release combines the world’s most powerful mathematical computation engine with an intuitive user-interface that eliminates the learning curve so common with other mathematical software. Its smart document environment automatically captures all technical knowledge in an electronic form that seamlessly integrates calculations, explanatory text and math, graphics, images and sound, and more. These concise live documents can be reused or shared across the organization.

“We initiated a radical change in the industry when we launched Maple 10 with its superior technical document and knowledge sharing capabilities”, said Maplesoft CEO Jim Cooper. “It changed the way people worked and Maple 11 represents another important leap forward in this direction. It is the leading tool for engineers and scientists to streamline and increase the quality of their analytical work. It also represents Maplesoft’s commitment to transforming the way our customers use technology.”

Maple 11 is supported by an extensive range of products for various industrial applications including automotive, aerospace, electronics, energy and finance. Companion products include automatic model generation, optimal design tools, intelligent control design, reference e-books, and more.

 

 

MAPLESOFT’S LATEST TESTING SOLUTIONS PRODUCT OFFERS MAJOR ADVANCEMENTS IN ASSESSMENT TECHNOLOGY

Maple T.A. 3.0 is the only system designed specifically for courses using mathematics

 

Waterloo, Canada, January 8, 2007: Maplesoft™, the leading provider of high-performance software tools for engineering, science and mathematics, today announced significant enhancements to Maple T.A.™, its Web-based testing and assessment system. The new version, Maple T.A. 3.0, features increased flexibility in content creation, an enhanced user interface, and improved grading and assessment capabilities. The product supports complex, free-form entry of mathematical equations and intelligent evaluation of responses, making it the only system designed for mathematics, science, or any course requiring mathematics.

“Maplesoft’s decades of experience in the academic market, expertise in creating dynamic technology solutions, and our collaboration with leading institutions in math education have resulted in a product that instructors can place their full trust in,” said Jim Cooper, Maplesoft CEO. “The latest release of Maple T.A. is a more intelligent and integrated product, and is the system of choice for creating content, testing, and assessment in the math education world.”

Built on the power of Maple™, Maplesoft’s software product for solving complex mathematical problems, Maple T.A. 3.0 provides new benefits that make the product more adaptable and easier to use.

Hello, I'm trying to export a worksheet in LaTeX format. It gives me a .tex file which requires a package maplestd2e.sty (not maple2e.sty) which I don't have. I found a file called maple2e.sty at http://www.maplesoft.com/support/downloads/latex_patch.aspx and it works up to a point. Firstly I had to change the output tex file to require package maple2e.sty and more importantly it has equations running off of the edge of the page. Please help, Regards, A. Carmichael
Hello! I upload my file which has a problem. I am not an expert on MAPLE v10.05. The file name is "mapleprime-2". I try to get a solution of four equations with the symmetric assumption for time variables. Anyone could change the assumption to get a result. Or, anyone could add just two more time variables: t[6] with minus sign amplitude and t[7] with plus sign amplitude. So, the entire number of time variables are still odd number which can not be changed. The current code is following as: restart: eq1:=expand(sum((-1)^(i+1)*cos(w*t[i]),i=1..5)=0): eq2:=expand(sum((-1)^(i+1)*sin(w*t[i]),i=1..5)=0):
I would like to know how to print a matrix using the TextBox command from Maplets, because always print a message "Matrix(3, 3, [ [ 1,1,1],[1,1,1],[1,1,1 ] ], datatype = anything, storage = rectangular, order = Fortran_order, shape = [])", for example. Another doubt is if it's possible to print text and equations using the MAthMLViewer without erasing the previous print in the Maplets (to each program output a line is added in the MathViewer). I would be grateful for any hint. Adriene Pfeifer restart:with(LinearAlgebra):with( Maplets[Elements] ): test:=proc() local M; M:=Matrix(3,3,1);
hello? I wrote the following equations to be solved. restart; eq1:=expand(sum((-1)^(i+1)*cos(omega*t[i]),i=1..5)=0): eq2:=expand(sum((-1)^(i+1)*sin(omega*t[i]),i=1..5)=0): eq3:=expand(sum((-1)^(i+1)*cos(r*omega*t[i]),i=1..5)=0): eq4:=expand(sum((-1)^(i+1)*sin(r*omega*t[i]),i=1..5)=0): t[1]=0;t[4]:=2*t[3]-t[2];t[5]:=2*t[3]; _EnvAllSolutions:=true: _EnvExplicit:=true: s1:=solve({eq1,eq2,eq3,eq4},{t[2],t[3],r}); Do I have to specify t[3]>t[2], t[2]>0 in the code? where t[1] to t[5] are time variables starting from t[1]=0 and omega and r are constants. How can I get the solutions for t[2] and t[3]?
how do i solve a set of coupled differential equations like these for x(t) and y(t) eqn1 := (D,2)(x)(t) = -a*sqrt(D(x)(t)^2+D(y)(t)^2)*D(x)(t), eqn2 := (D,2)(y)(t) = g-a*sqrt(D(x)(t)^2+D(y)(t)^2)*D(y)(t)
i'm trying to solve a set of coupled differential equations and need help eqn1 := (D,2)(x)(t) = -a*sqrt(D(x)(t)^2+D(y)(t)^2)*D(x)(t), eqn2 := (D,2)(y)(t) = g-a*sqrt(D(x)(t)^2+D(y)(t)^2)*D(y)(t)
Hi, Im using the display command to plot 3d surefaces/projections (which the also overlap on different occasions)on the same graph coming from different equations. My question is how can i colour the surfaces with a command (its too hard to do it onthe graph)so i know to which equation each surface corresponds to? Is there an additional way offered from maple to distinuish the graphs from each other. Finaly, I use the command labels=[x,y,z] to call my axis "Time of Fault Clearance,s" , "Magnitude of Fault Current" , "Parametr".How do i syntax a string? Thanks for your time
Hi, I am trying to solve these 6 equations with 6 unknowns. Unfortunately, "fsolve" does not give numerical results. Please let me know if there are other commands that I can use. I am using Maple 10.06 (Build ID 255401). restart; C := 2; TY := .9; Y := Vector(1 .. C, TY/C); TM := 1; DL := 5; eq1 := X1 = (Y[1]+Z2)/TM; eq2 := X2 = (Y[2]-Z2)/M2; TX := X1+X2; eq3 := M2 = (1-X1)*TM+X1/(1/TM+W1); W0 := Y[1]/TM^2+Y[2]/M2^2; EF := W0/(1-TX); eq4 := W2 = EF+X1*min(W2, DL); eq5 := W1 = (TX*EF-X2*W2)/X1; eq6 := Z2 = Y[2]*max(0, W2-DL)/W2; fsolve({eq2, eq5, eq1, eq3, eq6, eq4}, {M2, X1, X2, Z2, W1, W2});
I have these equations.
Hi, I've solved a system of nonlinear equations by hand, but I'm not sure if my answer is correct. I would like to verify my results with maple's output. However, I am having some trouble using maple: Here's my code: > eq1:=2*(x*r) + 2*(y*s) + 2*(z*t)-(t^2) + (r^2)=0: > eq2:=3*(x*(r^2)) + 3*(y*(s^2)) + 3*(z*(t^2))-(t^3)+(r^3) =0: > eq3:=4*(x*(r^3)) + 4*(y*(s^3)) + 4*(z*(t^3))-(t^4)+(r^4)=0: > fsolve({eq1, eq2, eq3}); Error, (in fsolve) number of equations, 3, does not match number of variables, 6 where r, s, and t are coefficients/constants and x, y, and z are variables.
Hello all, I'm looking into visualizing/solving the Lotka-Volterra equations in Maple 10. In doing so I've run into a few problems: 1) When executing the following commands > odeqs:= {diff(N(t),t) = a*N(t) - b*N(t)*P(t), diff(P(t),t)=c*N(t)*P(t) - d*P(t)}: > # Growth rate of prey > a:= 3; > # Predatation rate > b:= 2; > # Growth of predators as a consequence of predation > c:= 1; > # Mortality rate of predators > d:= 1/2; > # Initial Conditions > initConds:=[N(0)=(5/3),P(0)=(10/9)]]; > > # Display number of prey as a function of time > DEplot(odeqs, [N(t),P(t)], t=0..100, N=0..7, P=0..7, initConds,
Hi, I would like to project the 3D surface generated from the following equation to the xy plane (2D): Itouch50 := -0.4058074876e13*sqrt(1.+h)/(sqrt(ts)*(-500000000.0*ln((625.+125.*h+25.*h^2+5.*h^3)/h)*sqrt(1.+h)+587311661.7)) where x=Itouch50 y= ts and z= h Moreover, if possible, I would like to calculate the equation of the projection or the equations giving the upper and lower side of the projection. Finally, if I had multiple equations as the initial one, would it be possible to create their accumulated projections on the same plane. I know that Im asking for too much, but any help would be extremely appreciated.
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