In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems that are solvable by a deterministic Turing machine in exponential time, i.e., in O(2p(n)) time, where p(n) is a polynomial function of n. EXPTIME is one intuitive class in an exponential hierarchy of complexity classes with increasingly more complex oracles or quantifier alternations. For example, the class 2-EXPTIME is defined similarly to EXPTIME but with a doubly exponential time bound. This can be generalized to higher and higher time bounds. EXPTIME can also be reformulated as the space class APSPACE, the set of all problems that can be solved by an alternating Turing machine in polynomial space. EXPTIME relates to the other basic time and space complexity classes in the following way: P ⊆ NP ⊆ PSPACE ⊆ EXPTIME ⊆ NEXPTIME ⊆ EXPSPACE. Furthemore, by the time hierarchy theorem and the space hierarchy theorem, it is known that P ⊊ EXPTIME, NP ⊊ NEXPTIME and PSPACE ⊊ EXPSPACE. (Wikipedia).
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Transcendental Functions 20 The properties of exp x.mp4
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Transcendental Functions 20 The properties of exp x Example.mp4
Example problems using exponent x.
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What Makes P vs. NP So Hard? (P ≠ EXPTIME, Time Hierarchy, Baker-Gill-Solovay)
There are a lot of unsolved problems in complexity theory, but there are a few things we do know. We look at the Time Hierarchy Theorem, and also why the proof techniques don't transfer to P vs NP. Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen, Zachary Greenber
From playlist P vs NP
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P vs. NP is one of the greatest unsolved problems. Just what is it, and why is it so important? Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen, Brandon Chen, Elaine Chang, Zachary Greenberg Twitter: https://twitter.com/UBehavior — Extra Resources: hackerdashe
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What is an Injective Function? Definition and Explanation
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NP-Complete Explained (Cook-Levin Theorem)
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From playlist P vs NP