



Define the highest value of a function on an interval.
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what is the extreme value theorem Informational
- Explain the connection to Morse functions. What are some examples of functions where the location of the absolute extrema depends on a parameter?
- What are the conditions for a critical point in higher dimensions?
- Discuss applications in network analysis. How does the Extreme Value Theorem connect to the idea of a Kähler manifold in differential geometry?
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- Explain its role in machine learning optimization. What are some historical controversies or interesting facts related to the Extreme Value Theorem?
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- Discuss the boundaries of the Extreme Value Theorem's applicability. How does the Extreme Value Theorem help in understanding the behavior of functions?
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- What is the connection to the least upper bound and greatest lower bound?
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