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Monotonic answer sets refer to a concept in logic programming and non-monotonic reasoning, particularly within the framework of answer set programming (ASP). In this context, a monotonic answer set is one in which the addition of new knowledge or rules does not invalidate previously established conclusions. This contrasts with non-monotonic reasoning, where adding new information can change the set of conclusions drawn. Monotonic reasoning is typically associated with classical logic, where the truth of statements remains stable as more information is added.
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Is a monotonic function a bijection?
No. For example, y = 7 is monotonic. It may be a degenerate case, but that does not disallow it. It is not a bijection unless the domain and range are sets with cardinality 1. Even a function that is strictly monotonic need not be a bijection. For example, y = sqrt(x) is strictly monotonic [increasing] for all non-negative x. But it is not a bijection from the set of real numbers to the set of real numbers because it is not defined for negative x.
Define monotonic preferences?
Your preferences are said to be monotonic if more is preferred to less
Are monotonic relationships positive or negative?
They can be either, but not together. y = x and y = -x are both monotonic.
What is monotonic preference?
monotonic preference means that a rational consumer always prefers more of a commodity as it offers him a higher level of satisfaction.
How does a monotonic transformation affect the shape of a function's graph?
A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
What are some adjectives for the math term function?
Here are some: odd, even; periodic, aperiodic; algebraic, rational, trigonometric, exponential, logarithmic, inverse; monotonic, monotonic increasing, monotonic decreasing, real, complex; discontinuous, discrete, continuous, differentiable; circular, hyperbolic; invertible.
How are linear and exponential functions alike?
They have infinite domains and are monotonic.
Is a strictly monotonic function absolutely continuous?
No, they can only be jump continuous.
Why argon exists as a monotonic atom?
Argon is nonreactive, including with itself.
How does a monotonic transformation affect a utility function?
A monotonic transformation does not change the preferences represented by a utility function. It only changes the scale or units of measurement of the utility values, but the ranking of preferences remains the same.
What is the difference between monotonic and Non-monotonic logic?
Monotonic reasoning is what a knowledge base is of fixed size and can not be updated as in prolog file that is fixed during the clause checking and do not update that automatically but in Non Monotonic reasoning,A Machine got a capability to learn self by getting possible operations on it so when u give some clauses to it ,It does update database if it doesn't create conflicting situations with the database otherwise it would demoted from current set and moved to update set that is not being in use and checked further for its positive clause of fact..
Which series is arranged in order from smallest to largest in size?
A monotonic increasing series.
