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In mathematics, a hereditary property is a property of an object that is inherited by all of its subobjects, where the meaning of subobject depends on the context. These properties are particularly considered in topology and graph theory , but also in set theory .
The successor function is part of the formal language used to state the Peano axioms, which formalise the structure of the natural numbers.In this formalisation, the successor function is a primitive operation on the natural numbers, in terms of which the standard natural numbers and addition are defined. [1]
In probability theory, the rule of succession is a formula introduced in the 18th century by Pierre-Simon Laplace in the course of treating the sunrise problem. [1] The formula is still used, particularly to estimate underlying probabilities when there are few observations or events that have not been observed to occur at all in (finite) sample data.
In mathematical genetics, a genetic algebra is a (possibly non-associative) algebra used to model inheritance in genetics.Some variations of these algebras are called train algebras, special train algebras, gametic algebras, Bernstein algebras, copular algebras, zygotic algebras, and baric algebras (also called weighted algebra).
The first form of inheritance is the inheritance of cultural capital (i.e. linguistic styles, higher status social circles, and aesthetic preferences). [30] The second form of inheritance is through familial interventions in the form of inter vivos transfers (i.e. gifts between the living), especially at crucial junctures in the life courses.
Paying inheritance tax: Only a few states in the U.S. impose an inheritance tax: Iowa, Kentucky, Maryland, Nebraska, New Jersey and Pennsylvania. Each state has different rules and exemption amounts.
A fixed mapping between an initial state and a final state. Starting from an initial condition and moving forward in time, a deterministic process always generates the same trajectory, and no two trajectories cross in state space. Difference equations/Maps – discrete time, continuous state space.
In inheritance, a hereditary successor is a person who inherits an indivisible title or office after the death of the previous title holder. The hereditary line of succession may be limited to heirs of the body, or may pass also to collateral lines, in case of extinction of heirs of the body, depending on the succession rules. These concepts ...