Consider the following code:

van_der_Waals := (p + a / V[m]^2) * (V[m] - b) = R * T:
expand(van_der_Waals);

The objective of the exercise is express the equation in a cubic form. Obvious solution is to take the output of the code above and multiplie both sides by V[m]^2. However, I would like to know if there exists a different aproach to get the same result.

How can I write a decimal number with period in maple? For example, in the following code;

restart;
number := 3.123123123123:
convert(number, rational);

I got 1040 / 333. However if number := 3.123123 then output is 76123 / 24374, so, in order to solve the exercise assign to the variable number a value of 3.123123123123123123123123123... How can I do it in abreviate form?

simplify is a procedure in Maple that have as parameter an assumption ¿Have the assumption a default value? For example, if we consider the following code:

restart;
f:= (x^3 - 27) / (x^2 - 3 * x):
print(f = simplify(f));

The output of that code assume that denominator is not zero, so I think the procedure have a default value for assume parameter.

I am working with expressions resulting from maple calculations that are 3-4 lines long, but I have to make a term-by-term comparison between one calculation and another. I would like to interweave the results of the two calculation so that one is above the other allowing direct comparison. It would also be nice to break up the expressions into pieces.  Unfortunately, I have gone as far as I can using maple directly.  The only solution I have come up with is to convert the expressions into Tex, copy them to a Tex editor and manipulate the expressions.  Unfortunately, Tex markup makes it difficult interpret the terms. 

Has anyone come up with another method to manually manipulate the output from maple calculations.

eval.mw This is the maple worksheet The regions are u<=-1, -1<=u<=1,u>=1

I want to plot a number created in a loop to monitor how it varies while keeping all previous ones on the figure. This is simply done in Matlab by hold on command, but I dont know how it is possible in Maple?

for i to 22 do
plot([i], [i^.5], style = point) :
end do

Note I want to monitor points during the loop running not after it finishes.

how to write 

-a2/3 + a3 - (2*a4)/3 - (2*a5)/3

into the form 

-(-3*a3 + a2 + 2*a4 + 2*a5)/2

No simplify works. Please help. 

test.mw

How to collect the coefficient of epsilon^(1/2) from A.

Actually, I want to write A as A=c1*epsilon^(1/2) +c2*epsilon+c3*epsilon^(3/2)

How to do that? My collect command failed to do this. 

A:=-epsilon^(3/2)*a2^3/4 - (5*epsilon^(3/2)*a4^3)/3 - (5*epsilon^(3/2)*a5^3)/3 + a3*sqrt(epsilon) - sqrt(epsilon)*a2/3 - (2*sqrt(epsilon)*a4)/3 - (2*sqrt(epsilon)*a5)/3 - (5*epsilon^(3/2)*a2)/36 + (5*epsilon^(3/2)*a4)/9 + (5*epsilon^(3/2)*a5)/9 + epsilon/12 + (4*epsilon^(3/2)*a2*a4*a5)/3 - (7*epsilon^(3/2)*a2*a3*a4)/12 - (7*epsilon^(3/2)*a2*a3*a5)/12 + 5*epsilon^(3/2)*a3*a4*a5 - (3*epsilon^(3/2)*a2^2*a4)/4 - (3*epsilon^(3/2)*a2^2*a5)/4 + (2*epsilon^(3/2)*a2*a4^2)/3 + (2*epsilon^(3/2)*a2*a5^2)/3 - 5*epsilon^(3/2)*a4^2*a5 - 5*epsilon^(3/2)*a4*a5^2 + epsilon^(3/2)*a2^2*a3/12 + (5*epsilon^(3/2)*a3*a4^2)/2 + (5*epsilon^(3/2)*a3*a5^2)/2

 Kind help Please It will be acknownoleged please please help

The conditions given the below PDF file link Please help it will be greatly acknowleged

to_maple.pdf

Hello im an amateur using maple for my hidraulics machines course at engineering school. Does anyone know how to use the degrees package on maple 2021, i called it out by using the short form. with(Degrees): and then try to use sind but it doesnt recognice the command.

Also when using RPMs the units that should be giving me m/s appear as m²/m*s(radious). I know that the software recognice it as angular speed but is there anyway to eliminate the (radious) so i can work with the speed as lineal?

We have the system with one discrete variable along x-axis (i.e. 'i' is discrete in the attached file) and other variable 't' is continuous. But maple return error.

CD.mw

Good day everyone,

Please, I need help on how to optimize the function above. I actually wanted to plot the function with respect to "eta", but, I need the optimum value(s) for "alpha". Anyone with useful information should please help.

Thanking you in anticipation for your help.                                                             

how to plot multivalued function in the region from  -a to a solving 2nd order ode in maple ?

d^x/du^2+1/2sech^2(u)*x(u)=0  . I have to find out the analytical value in three different regions like u<=-a , -a<=u<=a , u>=a . How to find out ? 

with(geometry):
_EnvHorizontalName := x:
_EnvVerticalName := y:
a := 7:
b := a*(1/2 + 1/6*sqrt(45 - 24*sqrt(3)))^2:
r := b*sqrt(b)/(sqrt(a + b) + sqrt(a)):
point(A, -a, b): point(B, -a, -b):
point(C, a, -c): point(F, a, b):
Sq := square(Sq, [A, B, C, F]):
circle(C1, [point(P1, [r, 0]), r]):
circle(C2, [point(P2, [(1 + sqrt(3))*r, r]), r]):
circle(C3, [point(P3, [(1 + sqrt(3))*r, -r]), r]):
ellipse(E, x^2/a^2 + y^2/b^2 = 1, [x, y]):
solve({Equation(C1), x^2/a^2 + y^2/b^2 = 1}, {x, y}):
point(T, [5.349255162, 2.829908743]):
IsOnCircle(T, C1);
draw([E(color = cyan), C1(color = yellow, filled = true), T(symbol = solidcircle, symbolsize = 20, color = red), Sq, C2(color = red), C3(color = red),Sq(color=blue)], axes = normal, view = [-a .. a, -b .. b], scaling = constrained);
square: (196+(7*(1/2+(1/6)*(45-24*3^(1/2))^(1/2))^2+c)^2)^(1/2)-(196+196*(1/2+(1/6)*(45-24*3^(1/2))^(1/2))^4)^(1/2) = 0
square: (7/2)*(1/2+(1/6)*(45-24*3^(1/2))^(1/2))^2-(1/2)*c = 0
Error, (in geometry:-square) not enough information to define a square
                             false

Error, (in geometry:-draw) cannot determine the vertices for drawing .Why all these errors ? Thank you.

Dear all

i am a very new user of Maple. 
is there an equivalent Mathematica function of

Transpose@Partition[BinaryReadList["Namefile","UnsignedInteger16"],8]

thank you very much and best regards

bruno