Function notation minus one exponent?

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The discussion focuses on the meaning of function notation involving a power of minus one, particularly in the context of the logistic function. It clarifies that an exponent of -1 indicates the reciprocal of the base, such as 2^{-1} equating to 1/2. The notation is used to express functions in a compact form, emphasizing the inverse relationship. The conversation highlights the importance of understanding this notation for proper application in mathematical problems. Overall, grasping the concept of negative exponents is crucial for interpreting various functions correctly.
bangthatdrum
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Hi !

What does the notation mean exactly when a function has power minus one ?

For example i have seen the logistic function written as:

f(x) = f0[1 + exp(−βx)]^-1
 
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z^{-1} = \frac{1}{z}

For instance:

2^{-1} = \frac{1}{2}

Applying this to your problem...
 
oh ok, thanks 4 the help.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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