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In mathematics, the capacity of a set in Euclidean space is a measure of the "size" of that set. Unlike, say, Lebesgue measure , which measures a set's volume or physical extent, capacity is a mathematical analogue of a set's ability to hold electrical charge .
create_with_capacity(n): creates a new set structure, initially empty but capable of holding up to n elements. add(S,x): adds the element x to S, if it is not present already. remove(S, x): removes the element x from S, if it is present. capacity(S): returns the maximum number of values that S can hold.
The containers are defined in headers named after the names of the containers, e.g. set is defined in header <set>.All containers satisfy the requirements of the Container concept, which means they have begin(), end(), size(), max_size(), empty(), and swap() methods.
Various rules in the C standard make unsigned char the basic type used for arrays suitable to store arbitrary non-bit-field objects: its lack of padding bits and trap representations, the definition of object representation, [7] and the possibility of aliasing. [12] The actual size and behavior of floating-point types also vary by implementation.
Bin-packing with fragmentation or fragmentable object bin-packing is a variant of the bin packing problem in which it is allowed to break items into parts and put each part separately on a different bin. Breaking items into parts may allow for improving the overall performance, for example, minimizing the number of total bin.
If C is an arbitrary category, the contravariant functors from C to Set are often an important object of study. If A is an object of C, then the functor from C to Set that sends X to Hom C (X,A) (the set of morphisms in C from X to A) is an example of such a functor. If C is a small category (i.e. the collection of its objects forms a set ...
The algorithm has O(1) amortized performance when appending a series of objects to the end of a hashed array tree. In a 1999 paper, [ 18 ] Brodnik et al. describe a tiered dynamic array data structure, which wastes only n 1/2 space for n elements at any point in time, and they prove a lower bound showing that any dynamic array must waste this ...
A functor F : C → Set is said to be representable if it is naturally isomorphic to Hom(A,–) for some object A of C. A representation of F is a pair (A, Φ) where Φ : Hom(A,–) → F. is a natural isomorphism. A contravariant functor G from C to Set is the same thing as a functor G : C op → Set and is commonly called a presheaf.