Search results
Results from the WOW.Com Content Network
Note that fmap, join, append and bind are well-defined, since they're applied to progressively deeper arguments at each recursive call. The list type is an additive monad, with nil as the monadic zero and append as monadic sum. Lists form a monoid under the append operation. The identity element of the monoid is the empty list, nil.
Collection implementations in pre-JDK 1.2 versions of the Java platform included few data structure classes, but did not contain a collections framework. [4] The standard methods for grouping Java objects were via the array, the Vector, and the Hashtable classes, which unfortunately were not easy to extend, and did not implement a standard member interface.
The cross product operation is an example of a vector rank function because it operates on vectors, not scalars. Matrix multiplication is an example of a 2-rank function, because it operates on 2-dimensional objects (matrices). Collapse operators reduce the dimensionality of an input data array by one or more dimensions. For example, summing ...
> x <-1: 6 # Create a numeric vector in the current environment > y <-x ^ 2 # Create vector based on the values in x. > print (y) # Print the vector’s contents. [1] 1 4 9 16 25 36 > z <-x + y # Create a new vector that is the sum of x and y > z # Return the contents of z to the current environment.
In Perl, the push function is equivalent to the append method, and can be used in the following way. my @list ; push @list , 1 ; push @list , 2 , 3 ; The end result is a list containing [1, 2, 3]
In a vector space, the null vector is the neutral element of vector addition; depending on the context, a null vector may also be a vector mapped to some null by a function under consideration (such as a quadratic form coming with the vector space, see null vector, a linear mapping given as matrix product or dot product, [4] a seminorm in a ...
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 vector-valued function, also referred to as a vector function, is a mathematical function of one or more variables whose range is a set of multidimensional vectors or infinite-dimensional vectors. The input of a vector-valued function could be a scalar or a vector (that is, the dimension of the domain could be 1 or greater than 1); the ...