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For example, the expression ′, (,) might denote the action of sampling from the generative model where and are the current state and action, and ′ and are the new state and reward. Compared to an episodic simulator, a generative model has the advantage that it can yield data from any state, not only those encountered in a trajectory.
Examples include: Simplification of algebraic expressions, in computer algebra; Simplification of boolean expressions i.e. logic optimization; Simplification by conjunction elimination in inference in logic yields a simpler, but generally non-equivalent formula; Simplification of fractions
In propositional logic, conjunction elimination (also called and elimination, ∧ elimination, [1] or simplification) [2] [3] [4] is a valid immediate inference, argument form and rule of inference which makes the inference that, if the conjunction A and B is true, then A is true, and B is true.
In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1.
[49] Some proofs of the uniqueness of prime factorizations are based on Euclid's lemma : If p {\displaystyle p} is a prime number and p {\displaystyle p} divides a product a b {\displaystyle ab} of integers a {\displaystyle a} and b , {\displaystyle b,} then p {\displaystyle p} divides a {\displaystyle a ...
In the second step, the distributive law is used to simplify each of the two terms. Note that this process involves a total of three applications of the distributive property. In contrast to the FOIL method, the method using distributivity can be applied easily to products with more terms such as trinomials and higher.
The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3. In mathematics, especially historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.
Examples of social information include information about the behavior of a social entity or the properties of a social system, while nonsocial information is information about something physical. Contexts in which an organism may use social heuristics can include "games against nature" and "social games".