@nm Hi nm

The rules are how the Government rules, so to say! All students have to upload their papers in pdf format. It makes good sense, when you are doing things digitally, because it means that everything stays fixed, whatever it is: language, math, biology, etc.. Beside: Not every censor is using Maple. Texas, GeoGebra and other systems are being used. 

LATEX is fine, but something for the classes after high school.

Kind regards,

Erik

@Kitonum  Thank you! Good idea to first realize that s different from t means s = -t. Then it reduces to a problem with one parameter only in the current situation. And better with k instead of _Zn. Also an ingenious geometric display of solutions! 

An additional question, when confronted with similar system of equations of two variables, where it might not be possible easily to use ad hoc arguments to reduce the equations: Is there a more general way to solve these kind of equations involving trigonometric functions numerically in given intervals? I was looking at the command Roots from the package Student[Calculus1]. It works for one equation with one variable, but it seems not to work for 2 equations ...

Regards,

Erik

@Carl Love WOW! Very fast indeed. Although I do not need the speed in my current situation, it is goog to know for future operations ...

Erik

@mmcdara Thanks a lot! The code is indeed short, and it seems fast. I really appreciate your effort!

Regards,

Erik

Thanks Thomas Richard and tomleslie

My file path doesn't contain special International characters (just English). It is strange, because I can open the file in all of the other versions 2019, 2018, 2017, but not 2020. I really hope it has to do with an issue in version 2020 and can be resolved in Maple 2020.1. Else it will be a definite problem, for me and for my students (if they experince the same problem). I just wonder why it works in the recent versions and not in 2020?

Regards,

Erik 

Big thanks to both of you.

Carl Love: I didn't know about using the sprintf command in connection with the textplot commnd. Works perfectly! 

Kitonum: Very illustrative! The animation will clearly show how the points are created one by one, using the golden angle. It also gave me the idea to add an animated gif to my webpage. 

My original idea was to somehow paint the solidcircles with different colors in order to more clearly illustrate the spirals going in one direction and the other spirals going in the opposite direction. I guess this is not easy in one figure, because every solidcircle needs both colors then. Another way could be to first create a figure showing the spirals going in positive direction by applying one color to every second spiral and another color for the spirals going in negative direction. Similar for a second figure displaying the spirals going in negative direction. From the numbering I can now identify the points on the indidual spirals. Not surprisingly the difference in numbering is 34 and 55 (Fibonacci Numbers!) for points on either kind of spiral. I will look into that. 

I wish you a happy New Year!

@mmcdara Thanks to both of you. I think the ColumnGraph is the appropriate command here, because I am not going to produce a Histogram by having something counted. I have the height of the columns already. Your file was however valuable afterall, mmcdara! I have tried writing the appropriate command for my easy purpose (see attached file).  I am however surprised that it cannot be done in a more easy default way - if that is the case. I have to fiddle with an offset option. I was expecting Maple to be able to easily produce a default plot with columns just by having the letters on the x-axis and the frequencies - and producing equally spaced columns with the letters in the middle. Or maybe I have overlooked something?

The help page for ColumnGraph wasn't to much help. In contrast to what is usually seen in the help pages, it started out with some very difficult scene, and it was hard for me to deduce anything at all for my easy situation - which again then doesn't seem to be that easy afterall. 

Erik

ColumnGraphs.mw

@tomleslie Yes it works that way, but still is using the properties of the normal distribution, i. e. the mean can be put "outside" which makes it possible to accomplish the job by just creating one single sample. Maybe I have confused the situation by connecting my more general question to this specific problem, which can be solved more easily. I think I will close my question here and get back if I later stumble upon a situation where this shortcut is not possible. 

Erik

Thanks to both of you, Carl Love and Acer. Very valuable information indeed.

Erik

@Daniel Skoog Thanks for the information, Daniel. 

@Kitonum Thanks a lot, Kitonum. I appreciate it!

Regards,

Erik

@Carl Love Indeed very compact. Just what I was looking for. Thanks a lot!

Erik

@acer For the sake of completeness in this specific situation it would however be appropriate to have all possible values of X listed. Obviously the difference only show up for small sample sizes, where a frequency might turn out to be 0. 

@acer Thanks to both of you. It is also apparent that when choosing big samples, your code is qite a lot faster!

Erik

@acer In addition to your fine histograms, I wanted to calculate the actual sample frequencies. With your list M of possible values for the Random Variable X I did it this way:

Isn't there an even more simple way of doing it? I mean I was surprised not to be able to find a command in the Statistics package which could give the frequencies of a list of numbers right away. Maybe I overlooked something?

Erik