@Thomas Dean You can use until testeq(...)=FAIL instead of the overly complicated 
until evalb(testeq(...)=FAIL).

@Thomas Dean Sorry, you were right; there is a difference. I think that the presence of a difference in how while and until handle FAIL should be considered a bug in the implementation of until.

@Thomas Dean There is no difference in how if, while, and until interpret FAIL! They all interpret it the same as false.

@Preben Alsholm You can also do

TypeTools:-AddType(ID, ()-> try type(args) catch: false end try);

@tim_finks Sorry that I didn't notice that this was about Maple Flow instead of Maple.

@nm Yes, you're right about numelems. I'll correct the Answer. I did know this, but I was momentarily fooled by the coincidence of both values being 3. Thank you for spotting that.

@eithne I have the correct Build ID. Nonetheless it confusied me because it's dated Nov 24, 2023. I see now that's a later date than the announcement of Maple 2023.2, but that was not obvious at first.

@nm I think this is what happened: I installed my Maple (on a brand new computer) yesterday at about 1:30 PM (EST). As usual, I had it check for updates during the install. The Post at the head of this thread was made at 2:06 PM (EST), after I installed. But I guess the update was already available some short time before the Post, so I got it with my install.

Yes, this whole confusion could be avoided if Maple just said the complete version number.

@nm I tried the menu option Tools => Check for Update, but it said that I already had the latest version.

@mmcdara It's easy to make this mistake given the Question's title. I made it myself,.but I noticed it while posting my tentative Answer. The OP wants to know the values of beta and f for which there are three (or more?) extrema. I don't know what "consecutive" means in this context.

I downloaded the update, and tried to install it, but it refused, saying "You've already upgraded to Maple 2023.2".

This isn't your fault, but MaplePrimes doesn't correctly upload ".maple" workbooks. Would you please put the files together in a ".zip" file and upload that? Let me know if you don't know what a ".zip" file is (or a websearch will tell you and lead you to a free utility for making them).

Please put any followups to this Question in this thread. Below, I've copied your new Question here, and I'll delete the new Question itself. OP's writing from here on:

I am an ophthalmologist and a novice in programing. I am having a problem obtaining the x-y coordinate equations for each of the fitted Splines in Maple.  Attached is the raw data and the Maple Data2_12_5_2023.xlsx Spline_Fits_12_5_2023.maple worksheet for which I need the individual spline equations and to learn how to obtain them.  I will pay you for the service. Can you please obtain the x-y Cartesian equations , not parametric, for each of the fitted Splines, give me a step-wise method for obtaining them and how to plot the Spline fits on the raw data plot?  

Your assistance is most appreciated.

Ron

Ronald A Schachar, MD, PhD

Cell: (858) 784-1705

Email: ron@2ras.com

@delvin The Jacobi functions require two arguments. Your math-paper transcription shows the 2nd argument as a fancy-script L, which I've duplicated below. Also, the parameter of Xi is phi, not psi or Psi.

Download J03.mw

This is an open-ended question; I don't have a definite opinion about it: Is something as crude as the empirical rule worth studying to the extent implied by the above Post when one has Maple, which has much more sophisticated functions for assessing whether data come from a Normal distribution?

That being said, I think that everyone should learn and memorize the central probabilities for 1, 2, and 3 standard deviations. That can help in everyday life or help one to understand nearly any research that uses statistics.