Can't remember the right word

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The discussion revolves around identifying the correct terminology for the peaks and troughs in a graph of non-linear functions, specifically in the context of an assignment. The term "amplitude" is suggested as it refers to the height difference between peaks and troughs, divided by two. Additionally, "local maxima" and "local minima" are clarified as the actual peaks and troughs of the graph. The conversation highlights the importance of precise language in mathematical contexts. Overall, understanding these terms is crucial for accurately commenting on findings in mathematical assignments.
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I'm doing an assignment that involves changing constants in various non-linear functions (EG: f(x) = asin x.) Its come to commenting on my findings and I find myself struggling to find the word that describes the peaks and troughs in my graph (The graph looks like a graph of an AC current). I know everyone is going to think I am a complete idiot for asking this but I can't remember and thought that there is no harm in asking...
 
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That's the amplitude. Was this the word? :confused:


Daniel.
 
Cheers mate, you are a champ!
 
Maybe amplitude is the word you're looking for, but they are the difference in height between the peaks and troughs divided by two. Actual peaks and troughs, however, are local maxima and minima.
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...

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