Fourteen year old Lazar Paroski is an exceptional student. Not only is he an overachiever academically, but he has a passion to help struggling students, and to think of innovative ways to help them learn. Lazar is particularly fond of Math, and in his interactions with other students, he noticed how students have a hard time with Math.

Putting on his creative cap, Lazar came up with the idea of an easily accessible “Math Wall” that explains simple math concepts for students in a very visual way.

“The Music Wall on Pinterest was my inspiration,” says Lazar. “I thought I can use the same idea for Math, and why not a Math Wall”?

"The math wall is basically all the tools you'll have on the wall in your classroom outside," said Lazar. Making the Math Wall and getting it set up, took time and effort. But he had help along the way, which, fueled by his passion and enthusiasm, helped turn his creative dream into reality. Lazar received a grant of $6000 from the local government to implement the project; his teachers, principal and family helped promote it; and the community of parents provided encouragement.

The Math Wall covers fundamental math concepts learnt in grades 1 to 6. Lazar engaged with over 450 students in the community to understand what would really be helpful for students to see in this Math Wall, and then he carefully picked the top themes he wanted to focus on.

The three meter Math Wall is located in the Morrison community park, and was officially inaugurated by the Mayor of Kitchener in July 2018. Many students have already found it to be useful and educative. Parents who bring their children to the park stop by to give their kids a quick math lesson.

At Maplesoft, we love a math story like this! And that too in our backyard! We wanted to appreciate and encourage Lazar and his efforts in making math fun and easy and accessible to students. So we invited Lazar to our offices, gifted him a copy of Maple, and heard more about his passion and future plans. “In many ways, Lazar embodies the same qualities that Maplesoft stands for – making it easy for students to understand and grasp complex STEM concepts,” said Laurent Bernardin, Maplesoft’s Chief Operating Officer. “We try to impress upon students that math matters, even in everyday life, and they can now use advanced, sophisticated technology tools to make math learning fun and efficient.”

We wish Lazar all the very best as he thinks up new and innovative ways to spread his love for math to other kids. Well done, Lazar!

I have a matrix 50*500000 was computed through a loop. when I double click on it I faced with the following error.

Rtable browser error

unable to display structured data

What the problem is?

Hi,

I would like to translate a set of ODEs from Maple to FORTRAN and optimize them. The problem is that even I have all the equations in one file the maple uses some names in optimizations same as what it has used before. How can I fixed it?

for Example:

with(codegen, optimize, makeproc, cost, prep2trans):

Fortran(eq_dP_5, optimize, resultname = fp1);
      t2 = int(z5 ** 2)
      t3 = int(t2 ** 2)
      t5 = int(z4 ** 2)
      t6 = int(x ** 2)
      t8 = x - 1
      t9 = t8 ** 2
      t10 = 1 / t9
      t11 = t10 * t6 * t5
      t13 = int(mTh ** 2)
      t23 = 2 * z2 * x + z4 * x - 2 * z2
      t26 = 1 / z4
      t32 = Az5 ** 2
      t38 = int(z6 ** 2)
      fp1 = -dble(z4) / dble(t23) / dble(t8) * (dble(t11 * t3 * LmdSF) +
     # dble(2 * t11 * t13 * t2) + dble(2 * t26 / Az5 * t23 * Bz5 * z6 *
     #t8) - 0.16D2 * dble(t10) * t32 * z1 * dble(t6) * dble(t5) * 0.3141
     #592654D1 - dble(2 * t26 * t38 * t23 * t9 * x) + dble(4 / x * t26 *
     # t8 * z2)) * (z1 + valrho) / 0.4D1

Fortran(eq_dmu_5, optimize, resultname = fmu2);
      t1 = z6 ** 2
      t2 = z4 / 0.2D1
      t5 = x ** 2
      t6 = t5 ** 2
      t28 = z5 ** 2
      t29 = t28 ** 2
      t32 = Az5 ** 2
      t35 = mTh ** 2
      t39 = z4 ** 2
      t49 = (x - 1) ** 2
      t50 = t49 ** 2
      fmu2 = (t1 * (z2 + t2) * t6 * dble(x) - 0.5D1 * t1 * (z2 + 0.2D1 /
     # 0.5D1 * z4) * t6 + 0.10D2 * (z2 + 0.3D1 / 0.10D2 * z4) * t1 * t5
     #* dble(x) - 0.10D2 * (z2 + z4 / 0.5D1) * t1 * t5 + ((0.5D1 * z2 +
     #t2) * t1 + 0.4D1 * (LmdSF * t29 / 0.16D2 + t32 * 0.3141592654D1 *
     #valrho + t35 * t28 / 0.8D1) * t39 * z4) * dble(x) - z2 * t1) * dbl
     #e(x) / dble(t50)

I get this message everytime I am trying to open my worksheet: "Recover Corrupt File and Save As"

2.G_anden_aflevering.mw

Is there a simple (i.e. without using of op( ), coeff( ), etc.)  way to force Maple to put a common constant out of brackets in the expression like 2*a+2*b -> 2(a+b)? The task seems as very simple. But I can't find a solution

I've tried alot, but nothing seems to work. The problem occurres whenever im trying to use multiple SI Units in caculations that require division. Example:

Download Maple_prob1.mw

I am trying to find the positive integer numbers a, b, c, d, e, f so that the function y =  (a x^2 + b x + c)/(d x^2 + e x + f) is increasing function and the equation  (a x^2 + b x + c)/(d x^2 + e x + f) = x has three integer solutions. I tried
restart;
ListTools[Categorize];
L := [];
for a to 10 do
for b to 10 do
for c to 10 do
for d to 10 do
for e to 10 do
for f to 10 do
if a*e-b*d > 0 and a^2*f^2-a*b*e*f-2*a*c*d*f+a*c*e^2+b^2*d*f-b*c*d*e+c^2*d^2 < 0 and igcd(a, b, c) = 1 and igcd(d, e, f) = 1 and igcd(a, b, c, d, e, f) = 1 and x = (a*x^2+b*x+c)/(d*x^2+e*x+f) then L := [op(L), [a, b, c, d, e, f, x]]

L:=[op(L), [a, b, c, d,e,f,x]]; fi; 
od: od: od: od:od:od: 
nops(L);  

I did not get the result. 
With Mathematica, I got like this picture (a, b, c, d, e, f, x1, x2, x3)

How can I get the correct results?

Is it possible to save table settings (and set a new default), so I dont have to manually change the "indent" number in every table i make in a document?

Its not possible to save the settings in the table menu itself, and there is no "table" option under preferences.

Almost Happy maple user on macbook pro 18

Here I put two functions defined by piece-wise command and then using int(...,numeric) to take their integration but Maple computes only one while for the other one just gives the expression back. The integration domain is bounded, the function is bounded too so I don't think the reason is being divergent in the one that Maple is not computing it.

Is there any prepared command or package for Maple which computes the integrals like this or is better than just int(...,numeric)? Or I have to write an algorithm an force Maple to compute my integral using an algorithm given by myself?
--
The codes in plain text:
 

int(piecewise(0 < -k5*x1*x2+k1*x1 < 1, 1, -k5*x1*x2+k1*x1 <= 0 and 1 <= -k5*x1*x2+k1*x1, 0)*piecewise(0 < -k5*x1*x2+k2*x2 < 1, 1, -k5*x1*x2+k2*x2 <= 0 and 1 <= -k5*x1*x2+k2*x2, 0), k1 = 0 .. 1, k2 = 0 .. 1, k5 = 0 .. 1, x1 = 0 .. 1, x2 = 0 .. 1, numeric);

int(piecewise(0 < x+y < 1, 1, x+y <= 0 and 1 <= x+y, 0)*piecewise(0 < y*x^2 < 1, 1, y*x^2 <= 0 and 1 <= y*x^2, 0), x = 0 .. 1, y = 0 .. 1, numeric);

I have a file consisting of

a b

b a

I want to read it into Maple and convert to a 2x2 matrix.  This will be trivial to most of you, but it isn't to me!  Thanks for some help.  .........Edgar

Hi

I need your help, to find all possible leading behavior of the following curves as x ->infinity of the following curves  defined using the implicit equation:

restart;
with(plots);
implicitplot(x^2*y^2-2*x*y^3+y^4-y^3+x^2 = 1, x = 100 .. 1000, y = 0 .. 1000);
 

Maybe we must change the range of y or x to conclude and obtain all possibles behavior.

I hope have any idea to conclude.

many thanks

I want to solve system of nonlinear ordinary differential equations numerically using the variational finite
element method (FEM). is it possible to solve on Maple? If anybody have a idea please share with me. I attach the image of my problem which I am tryimng to solve.

Below is a picture of my code and the errors that have arisen when I have tried to use a 2-level indice within a loop and dsolve. I will also paste in the code below.

restart;

with(PDEtools); umain := 1-exp(-y)+sum(A^i*u[i](y, z), i = 1 .. 4); vmain := -1+sum(A^i*v[i](y, z), i = 1 .. 4); wmain := sum(A^i*w[i](y, z), i = 1 .. 4); pde[main] := diff(vmain, y)+diff(wmain, z); pde[main[2]] := vmain*(diff(wmain, y))+wmain*(diff(wmain, z))-(diff(wmain, y$2));

for i to 1 do pde[i] := coeff(pde[main[2]], A^i) = 0; w[i](y, z) := sum(sol[i, k](y)*sin(k*z), k = 1 .. i); for j to i do sys__i__j := [-(diff(sol__i__j(y), y))-(diff(sol__i__j(y), y$2)) = coeff(pde[main[2]], sin(j*z)), sol__i__j(0) = 0, sol__i__j(infinity) = 0]*dsolve([-(diff(sol__i__j(y), y))-(diff(sol__i__j(y), y$2)) = coeff(pde[main[2]], sin(j*z)), sol__i__j(0) = 0, sol__i__j(infinity) = 0]); assign(op(0, sol__i__j*y)) = unapply(dsolve(sys__i__j), op(dsolve(sys__i__j))) end do end do

I have learned that the eigenvectors of an solid object's Inertial Tensor are its principal axes and are an orthonormal set, however two of the eigenvectors in the cube in the uploaded worksheet are not orthogonal.

Where is my error?

CubePrincipalAxes.mw

Hi,

Let a in ] 0, 1[  and  x real

Let  f := sin(x) / ( ( sin(a*x) )^a * ( sin((1-a)*x) )^(1-a) );

How can I find the limit of f as x goes to 0 ?
(limit, series, taylor don't work, wether I set or not assumptions on "a" [assume/assuming])

PS 1:  the limit is found once a numeric value is given to alpha

PS 2:  By simple calculations:
           sin(x) ~x  ;  sin(a*x) ~ ax  ; sin((1-a)*x) ~(1-a)x and thus
          ==>  f(x->0) ~ x / ( -a*x)^a * ((1-a)*x)^(1-a) )
                              = x / ( -a^a * (1-a)^(1-a) * x^(a+1-a)
                              = 1 /  ( -a^a * (1-a)^(1-a)  )