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v = [3 x ^ 2 + 2 y ^ 2 for x in 1: 7 for y in 1: 7 if x % y == 0] And just changing square brackets to the round one, we get a generator: g = ( 3 x ^ 2 + 2 y ^ 2 for x in 1 : 7 for y in 1 : 7 if x % y == 0 )
The nested set model is a technique for representing nested set collections (also known as trees or hierarchies) in relational databases. It is based on Nested Intervals, that "are immune to hierarchy reorganization problem, and allow answering ancestor path hierarchical queries algorithmically — without accessing the stored hierarchy relation".
Expressing the example as a partially ordered set by its Hasse diagram. Using a set of atomic elements, as the set of the playing card suits: B = {♠, ♥, ♦, ♣}; B 1 = {♠, ♥}; B 2 = {♦, ♣}; B 3 = {♣}; C = {B, B 1, B 2, B 3}. The second condition of the formal definition can be checked by combining all pairs:
nested blocks of imperative source code such as nested if-clauses, while-clauses, repeat-until clauses etc. information hiding: nested function definitions with lexical scope; nested data structures such as records, objects, classes, etc. nested virtualization, also called recursive virtualization: running a virtual machine inside another ...
Let C be a category with finite products and a terminal object 1. A list object over an object A of C is: an object L A, a morphism o A : 1 → L A, and; a morphism s A : A × L A → L A; such that for any object B of C with maps b : 1 → B and t : A × B → B, there exists a unique f : L A → B such that the following diagram commutes:
While the map x ↦ x.class coincides on terminal objects, it differs in the restriction to classes. As already mentioned above, for a class x, the Ruby expression x.class evaluates constantly to Class. In Smalltalk-80, if x is a class then the expression x class corresponds to the Ruby's x.singleton_class – which evaluates to the eigenclass ...
The pattern is useful when exactly one object is needed to coordinate actions across a system. More specifically, the singleton pattern allows classes to: [2] Ensure they only have one instance; Provide easy access to that instance; Control their instantiation (for example, hiding the constructors of a class)
Then, objects located at the same index in each array are implicitly the fields of a single record. Pointers from one object to another are replaced by array indices. This contrasts with the normal approach of storing all fields of each record together in memory (also known as array of structures or AoS). For example, one might declare an array ...