I would have bet, that I have checked it.. This was the problem. Thanks. 


To answer your rhetorical question I do not find it illogical to assume that the magnitude is used in every calculations just as the magnitude is plotted for a complex waveform. It seems to me rather intuitive to return the smallest Y-axis value of a plot for the ymax() function. Anyway, I see the logic behind it. I just wish that the error message would have given a more useful message.

The xy-limits consist of four numbers, separated by commas. These are the xmin, xmax,ymin, and ymax values that will be used in the corresponding input boxes when the functionis graphed on the Main Screen. Note that they are not the domain and range of the function.They merely specify what region of the xy-plane is displayed on the Main Screen by default.The type of function is one of the words "expression", "table", or "graph".Again, xFunctions will actually only look at the first character, so you can abbreviatethese to "e", "t", and "g". The name of the function can be any sequence ofletters and digits, as long as it begins with a letter. You cannot redefine a functionthat is already defined. The letters can be either upper or lower case. (When names areused in expressions, xFunctions doesn't distinguish between upper and lower case.However, when it places functions in the list on the Main Screen, it will orderupper case letters before lower case letters. You can make the functions that you defineeasier to find if you start their names with upper case letters, so that they appearat the top of the list.)


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To define an example for one of the seven utilities, you have to say what goes intoeach of the inputs on that utility screen. In all cases, this includes a set of valuesfor xmin, xmax, ymin, ymax, and possibly for other numerical values. It also includesone or more expressions to define the functions that the utility will use. There mightbe other inputs, such as the checkbox labeled "Loop back and forth" in the Animate Utilityor the radio buttons for controlling the style of graph in the Graph 3D Utility.I'll describe the exact format you need in order to specify the inputs for each of theutilities. In all cases, the first item in the example is the name of the utility,which can be abbreviated to as little as one letter. This is followed by a menu entry,which is the string that will appear in the pop-up menu in xFunctions to describe thisexample to the user. (It has to be short enough to fit into this menu.)Next comes a list of numbers, separated by commas, that go into thenumerical input boxes in the utility.This is followed by one or more expressions, separated by semicolons. Any furtherinputs are specified after that.

For the animate utility, the list of numbers has seven entries. In addition to xmin, xmax, ymin, and ymax, there are kmin and kmax, which give the limits on the parameterk, and the number of intervals in theanimation. The number of intervals must be between 1 and 1000, inclusive.The expression to be animated uses the variables x and k. There is a final itemthat specifies whether the "Loop back and forth" checkbox should be on.The value of this item must be specified as "true" or "false". (As usual, you canabbreviate to one character.) When the user selects an animation example, theanimation will start playing automatically after a second or two. So, an AnimateUtility example consists of: 9af72c28ce

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