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In mathematics, the remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient (integer division).
In common law countries a remainderman is a person who inherits or is entitled to inherit property upon the termination of the estate of the former owner. [1] Usually, this occurs due to the death or termination of the former owner's life estate, but this can also occur due to a specific notation in a trust passing ownership from one person to another.
In property law of the United Kingdom and the United States and other common law countries, a remainder is a future interest given to a person (who is referred to as the transferee or remainderman) that is capable of becoming possessory upon the natural end of a prior estate created by the same instrument. [1]
In mathematics, a property is any characteristic that applies to a given set. [1] Rigorously, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or, equivalently, as the subset of X for which p holds; i.e. the set {x | p(x) = true}; p is its indicator function.
The main property of closed sets, which results immediately from the definition, is that every intersection of closed sets is a closed set. It follows that for every subset Y of S , there is a smallest closed subset X of S such that Y ⊆ X {\displaystyle Y\subseteq X} (it is the intersection of all closed subsets that contain Y ).
The least-upper-bound property states that every nonempty subset of real numbers having an upper bound (or bounded above) must have a least upper bound (or supremum) in the set of real numbers. The rational number line Q does not have the least upper bound property. An example is the subset of rational numbers
In mathematics, more specifically in category theory, a universal property is a property that characterizes up to an isomorphism the result of some constructions. Thus, universal properties can be used for defining some objects independently from the method chosen for constructing them.
Today the commutative property is a well-known and basic property used in most branches of mathematics. The first recorded use of the term commutative was in a memoir by François Servois in 1814, [1] [10] which used the word commutatives when describing functions that have what is now called the commutative property.