What are the different types of complexity theory?
Best, worst and average case complexity
Best-case complexity: This is the complexity of solving the problem for the best input of size n.
Average-case complexity: This is the complexity of solving the problem on an average.
This complexity is only defined with respect to a probability distribution over the inputs..
What are the elements of complexity theory?
The basic tenets of complexity theory are non-linear dynamics, chaos theory, and adaptation/evolution [15]; others include emergence, self-organization, feedback, and chaos [21].
Complexity theory views systems as being non-linear, thus future states are unpredictable..
What is complexity and why is it important?
Complexity helps determine the difficulty of a problem, often measured by how much time and space (memory) it takes to solve a particular problem.
For example, some problems can be solved in polynomial amounts of time and others take exponential amounts of time, with respect to the input size..
What is complexity theory in theoretical computer science?
Computational complexity theory is a mathematical research area in which the goal is to quantify the resources required to solve computational problems.
It is concerned with algorithms, which are computational methods for solving problems..
What is complexity theory in TOC?
Computational complexity theory is a mathematical research area in which the goal is to quantify the resources required to solve computational problems.
It is concerned with algorithms, which are computational methods for solving problems..
- Best, worst and average case complexity
Best-case complexity: This is the complexity of solving the problem for the best input of size n.
Average-case complexity: This is the complexity of solving the problem on an average.
This complexity is only defined with respect to a probability distribution over the inputs. - Computability Theory is what you can compute and with what language you can compute.
Complexity Theory is what is the running time of what you can compute - especially decision problems and differentials of decision problems. - Computational complexity theory is a mathematical research area in which the goal is to quantify the resources required to solve computational problems.
It is concerned with algorithms, which are computational methods for solving problems.
