hey everyone
i got a little problem here i really dont get it why my fsolve give me this error

Error, (in sqrfree) argument must be a polynomial or a rational function in {cf[-2], cf[-1], cf[0], cf[1]}
these are my variables :

cf[-2], cf[-1], cf[0], cf[1]}

thats part of my code :

res1;
(34.30563197 cf[-1] - 10.13498047 cf[0] + 5.197134649 cf[1]

   - 0.4714805434) (0.3095515346 cf[-2] + 0.3822521253) - (cf[-1](2.466022067

  ) + cf[0](-0.6605923783) + cf[1](1.076415647))^2

   - cf[-1](2.466022067) - cf[0](-0.6605923783)

   - cf[1](1.076415647) - 333.1166471 cf[-1] + 186.8672744 cf[0]

   - 128.6145289 cf[1] + 0.8737683108, (-39.73727883 cf[-1]

   + 26.25682759 cf[0] - 7.289811219 cf[1] - 0.3506934780)

  (0.4161980514 cf[-1] + 0.4402863507) - (cf[-1](0.3227083347)

   + cf[0](2.517826949) + cf[1](-0.7889944208))^2

   - cf[-1](0.3227083347) - cf[0](2.517826949)

   - cf[1](-0.7889944208) - 15.03436409 cf[-1]

   - 129.5665191 cf[0] + 68.25827819 cf[1] + 0.5888637790,

  (17.36111111 cf[-1] - 29.80788311 cf[0] + 17.36111111 cf[1]

   - 0.2500000000) (0.5000000000 cf[0] + 0.5000000000)

                                                            2
   - (cf[-1](-1.833333334) + cf[0](0.) + cf[1](2.333333334))

   - cf[-1](-1.833333334) - cf[0](0.) - cf[1](2.333333334)

   + 38.17276297 cf[-1] + 34.00261850 cf[0] - 77.23526300 cf[1]

   + 0.3750000000, (-3.548332053 cf[-1] + 12.78057007 cf[0]

   - 19.34221012 cf[1] - 0.1707008416) (0.5290914191 cf[1]

   + 0.5597136492) - (cf[-1](1.060931345) + cf[0](-1.540306477)

   + cf[1](-0.2297630675))^2 - cf[-1](1.060931345)

   - cf[0](-1.540306477) - cf[1](-0.2297630675)

   - 20.59209188 cf[-1] + 28.27859544 cf[0] + 40.45630289 cf[1]

         -10                      
   + 1 10    cf[-2] + 0.2254717519

fsolve({seq(res1[v] = 0, v = 1 .. 2*N+2)})     ( N here is 1 )

why i cant get the awenser and if you can plz solve it for me

i would be happy that anyone can give me an explanation with details

tnX a lot

Arian
 

I'm trying to figure out how to plot the following: if I have a region G in R^2, and two functions f <= g on G, I would like to plot the projection on the XY-plane in say one colour and the volume between f and g in another. For example, consider G the region between the parabolae y=x^2 and y=2-x^2, and f(x,y) = x+y+4 and g(x,y) = 25-x^2-y^2, just to name something. I'd also prefer the plot to be easy adaptable to other functions, e.g. with a different region G, different function descriptions for f and g but also, if possible, projection on one of the other two coordinate planes. Is there an easy way to do this?

I wonder - would it be possible to automate the following way of adding a legend to plots? If so - how?

plot([f(x), g(x), 7], legend = ['f(x)' = f(x), 'g(x)' = g(x), y = 7]);

In my opinion such a legend makes the plot much more readable - but most students (and others) will usually be too lazy to type this out, hence the wish for it be to automated.

Any help will be much appreciated.

Hello,

I would like to ask you for a help with solving a differencial equations for oscillator damped by a constant friction force (no damping force proportional to the velocity!)

General solultion:

Where 

The amplituce A is decreasing by C at each turning point and center of the ascillatory motion moves: x = -C/2 or x = C/2

Moving:

where

How to create a graphic output of movement according to equation x(t) similar to graph mentioned below?

Thank a lot for your help. I have been working on this task for several weeks without success.

Tom

Hi,

Although i can evaluate speed, displacement and accelleration, i can't plot these functions.

The error message is:

What am i doing wrong in my definitions?

Thank you in advance.

Download Berechnungen.mw

Hi,

I am wondering how we can edit a diagram plotted in maple. for example in editdiagram.mw I want name tips of diagram as "a", "b",.... and write them besides the tips on diagram.

Another question is how we can make color different parts of a single diagram by various colors? for example in above diagram we want make blue vertical line, make green horizontal line and make black the curve line?

Thanks a lot

In Maple 2017.2:

solve(x^3+x*a+2 > 0, [a, x]);
           [[a = -3, x < 1, -2 < x], [a = -3, 1 < x]]

solve(x^4+x*a+1 > 0, [a, x]);
Error, (in rootbound) 1st argument must be a polynomial with numeric coefficients

The first one clearly doesn't give the complete set of solutions. It can be made to work by adding conditions on a such as a>0.

I'm not sure if symbolic operations take index=real[i] into account or just silently ignore it:

limit(RootOf(_Z^3+a*_Z+2, index = real[1]), a = -infinity);
                               0

In fact the root grows as sqrt at -infinity.

Hello,

When starting Maple, i get an error message like:

All Drivers are up to date, Im running a system Win10-64Bit on a notebook.

Has anybody had the same problem?

Thanks in Advance

hi every one,i want to create some kind of numbering for index, how can i generate them using "seq" command or "for loop" ?
 

Download problem.mw

In my code I'm trying to catch the case when a certain limit doesn't exist:

limit(exp(-I*a*z)/a, a = infinity) assuming Im(z) > 0;
                               0

Doesn't work. Strangely, this works:

limit(exp(-I*a*z)/a, a = infinity) assuming Im(z) > 0, z::complex;
                           undefined

But this again doesn't:

limit(cos(a*z)/a, a = infinity) assuming Im(z) > 0, z::complex;
                               0

(because the limit of cos(a*z) returns -1..1).

So then I decide to check the exponents directly:

is(a*Im(z) > 0) assuming a > 0, Im(z) > 0;
                             false

Doesn't work, even though it works for arbitrary f:

is(a*f(z) > 0) assuming a > 0, f(z) > 0;
                              true

I found a construct that works:

signum(Im(a*z)) assuming a > 0, Im(z) > 0;
                               1

Would it be possible to improve the handling of the assumptions on Re/Im though?

In Maple 17, the following expression needs to be integrated with respect to q3, p3 and q. Here, mu is a real, positive scalar. 

a := 1/(sqrt(mu^2+(px-p3x-q3x)^2)*sqrt(mu^2+(-p3x+qx-q3x)^2)*sqrt(mu^2+q3x^2)*(sqrt(mu^2+(-p3x+qx-q3x)^2)+sqrt(mu^2+q3x^2)))

However, the integration will not work with the "int" command (e.g. wrt q3). The indefinite integration will work if the integral is evaluated using the steps: highlight expression -> right click -> Integrate -> wrt q3 command.

The output of the integral (using the above method) is very long, it's impossible to manipulate the answer (on my i5, 8GB machine running Maple 17) because it is very tough to copy such a long output. Also, there is no way to specify that mu is a positive scalar. 

Is there a better way to perform the integration, e.g. between 0 and lambda, -1 through 1, or -infinity to +infinity?  

I was asked if I would put together a list of top resources to help students who are using Maple for the first time.  An awful lot of students will be cracking Maple open in the next few weeks (the ones who are keeping up with their assignments, at least – for others, it sometimes takes little longer :-), so it seemed like a good idea.

So then I had to decide what to do. I know Top N lists are very popular (Ten Things that Will Shock You about Your Math Software!), and there are tons of Maple training resources available to fill such a list without any difficulties.  But personally, I don’t always like Top N lists. What are the chances that there are exactly N things you need to know, for nice values of N? And how often you are really interested in all N items? I just want to get straight to the points I care about.

I decided I’d try a matrix. So here you go: a mini “choose your own adventure” guide for getting to know Maple.  Pick the row that corresponds to what you want to do, and the column for how you want to do it.  All on a single, page, and ad-free!

And best of luck for the new school year.

We have the following sequence of natural numbers
1, 2, 4, 7, 11, 16, 67, 83, 46, 73, 47, 85, 70, 20, 16, 76, 83, 55, 73, 56, 85, 79, 119, 934, 463, 389, 1009, 9028, 8237, 7357, 7567, 7688, 8899, 10021, 12035, 53056, 65071, 17093, 39109, 90232, 23249, 94273, 37291, 19316, 61435, 53461, 16481, 18508, 80629, 92657, 75679, 97708, 80831, 13861, 16885, 58916, 62041, 14083, 38099, 99142, 24259, 95303, 30421, 12466, 66485, 58531, 13651, 15698, 89719, 91867, 76889, 98938, 84061, 16121, 12235, 53296, 69311, 11473, 37489, 98552, 25669, 96733, 33851, 15916, 62035, 53111, 11221, 12298, 89309, 90487, 78499, 99578, 87691, 19771, 17885, 58966, 67081, 18173, 37279, 97372, 27479, 97573, 37681, 18776, 67885, 58981, 19091, 19198, 89299, 99407, 70609, 90718, 81821, 12931, 14035, 53156, 65251, 15373, 37469, 96592, 29689, 98813, 32011, 11146, 64235, 53371, 17461, 16598, 89689, 98827, 73019, 91168, 86251, 15401, 10585, 58636, 63821, 12973, 38059, 95222, 22399, 99463, 36641, 14806, 60985, 59051, 15241, 14398, 89489, 98647, 74839, 93998, 90091, 19162, 26345, 54517, 71701, 10874, 47959, 96133, 33329, 92494, 49591, 19757, 75955, 56122, 22331, 13489, 98599, 99758, 85969, 97129, 92351, 15502, 20725, 52877, 78001, 10264, 46379, 97543, 34759, 95924, 43141, 14317, 71525, 52702, 20911, 12089, 98209, 90478, 87599, 99769, 96991, 20162, 26296, 69457, 75692, 29854, 46090, 9263, 3829, 9484, 5051, 1708, 8275, 5933, 3601, 1270, 929, 1138, 8521, 1469, 9853, 3802, 2297, 8137, 7534, 4574, 4972, 3013, 3323, 3454, 4765, 5897, 8209, 9253, 3755, 5800, 313, 542, 475, 805, 740, 280, 316, 848, 1084, 5038, 8543, 3697, 8203, 3269, 9865, 5932, 2639, 9607, 7315, 5384, 5083, 4054, 4754, 4825, 5536, 6608, 8320, 493, 650, 313, 571, 434, 694, 757, 1019, 9364, 4903, 3359, 9799, 10246, 64469, 96715, 52039, 93296, 69511, 11869, 97085, 58354, 45661, 16931, 14239, 93520, 2819, 9463, 3931, 1676, 7045, 5692, 3251, 1810, 469, 1253, 3811, 1474, 5033, 3598, 9247, 7724, 4573, 4051, 1802, 2380, 1132, ... .
 What is the next term? Is it possible to find that with Maple? The Lagrange polynomial is not taken into account. I'd like to recall a great answer by Carl Love to a similar question.  However, the current situation seems to be different. The Predict command of Mma fails here.

Download New_ReportGeneration_with_ExcelData.mw

Dear Users,

I have received a congratulations from a Mapleprime user for my post (on Finite Element Analysis - Basics) posted two years earlier. I  did not touch that subject for two years for obvious reasons. Now that a motivation has come, I have decided to post my second application using embedded components. This I was working for the past two years and with the support from Maplesoft technical support team and Dr.RobertLopez. I thank them here for this workbook has come out well to my satisfaction and has given me confidence to post it public.

About the workbook

I have tried to improve the performance of a 2-Stroke gasoline engine to match that of a four stroke engine by using exhaust gas recirculation. Orifice concept is new and by changing the orifice diameter and varying the % of EGR, performance was monitored and data stored in Excel workbook. These data can be imported to Maple workbook by you as you want for each performance characteristic. The data are only my experimental and not authentic for any commercial use.

This Maple workbook generates curves from data for various experiments conducted by modifying the field variables namely Orifice diameter, % Exhaust gas Recirculation and Heat Exchanger Cooling. Hence optimum design selection is possible for best performance.

Thanks for commenting, congratulating or critisising!! All for my learning and improving my Maple understanding!! 

In this app you can use from the creation of curve, birth of the position vector and finally applied to the displacement and the distance traveled. All this application revolves around the creation of a path and the path of a particle over this generated by vectors. You will only have to insert the vector components and the times to evaluate. Designed for engineering students guided through Maple. In Spanish.

Displacement_and_distance_traveled_with_vectors.mw Updated

Displacement_and_distance_traveled_with_vectors_updated_2020.mw 

Video

https://www.youtube.com/watch?v=jOcKYZ5EEM0

Lenin Araujo C

Ambassador of Maple