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Rational Real <, <=, ==, !=, >=, >, +, -, *, /, fractionsFraction, //, %, abs(), bool(), complex(), int conjugate(), divmod(), float(), mathceil(), mathfloor(), round(), trunc(); also real, imag, numerator, and denominator properties

Rational <, <=, ==, !=, >=, >, +, -, *, /, //, int %, <<, >>, ~, &, ^, |, abs(), bool(), complex(), conjugate(), divmod(), float(), mathceil(), mathfloor(), pow(), round(), trunc(); also real, imag, numerator, and denominator

properties Abstract base classes are classes that have at least one abstract method or property Abstract methods can be de ned with no implementation (ie, their suite is pass, or if we want to force reimplementation in a subclass, raise NotImplementedError()), or with an actual (concrete) implementation that can be invoked from subclasses, for example, when there is a common case They can also have other concrete (ie, nonabstract) methods and properties Classes that derive from an ABC can be used to create instances only if they reimplement all the abstract methods and abstract properties they have inherited For those abstract methods that have concrete implementations (even if it is only pass), the derived class could simply use super() to use the ABC s ver-

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#include <omph> #define N 4 // Assume this equals the number of UEs #define M 1000 extern double work(int, int); // a time-consuming function int main() { int i, j; double A[N] = {00}; // Initialize the array to zero // method one: a loop with false sharing from A since the elements // of A are likely to reside in the same cache line #pragma omp parallel for private(j,i) for(j=0; j<N; j++){ for(i=0; i<M; i++){

In our opinion, too many people abuse the ability to give things longer names these days This isn t limited to databases by any stretch In Windows, files can have extremely long names, and SQL Server is no different A short but descriptive name is always a better alternative to a long, more human-readable name Long names don t cause syntax problems, but they cause frustration and can cause developers to write some ugly-looking code Imagine a database where stored procedures have names such as proc_select_all_customer_data_by_company_grouped_by_month Although this doesn t break any of our other rules no spaces or dashes, and no keywords it is a little long to deal with Imagine trying to type that in each script you write It would be time consuming, not to mention causing great difficulty in locating a typo if one should occur Now imagine a whole script filled with table and view names similar to this one It is always best to keep it short In this case, a name like proc_monthly _custdata_by_company, though still a little long, would be a much better alternative In addition to being short, the name should be descriptive Don t go too far to the other extreme and start calling views something like mtcusdat This name could mean almost anything Make sure you follow both aspects of this rule: short and simple, but long enough to have meaning

sion Any concrete methods or properties are available through inheritance as usual All ABCs must have a metaclass of abcABCMeta (from the abc module), or from one of its subclasses We cover metaclasses a bit further on Python provides two groups of abstract base classes, one in the collections module and the other in the numbers module They allow us to ask questions about an object; for example, given a variable x, we can see whether it is a sequence using isinstance(x, collectionsMutableSequence) or whether it is a whole number using isinstance(x, numbersIntegral) This is particularly useful in view of Python s dynamic typing where we don t necessarily know (or care) what an object s type is, but want to know whether it supports the operations we want to apply to it The numeric and collection ABCs are listed in Tables 83 and 84 The other major ABC is ioIOBase from which all the le and stream-handling classes derive To fully integrate our own custom numeric and collection classes we ought to make them t in with the standard ABCs For example, the SortedList class is a sequence, but as it stands, isinstance(L, collectionsSequence) returns False if L is a SortedList One easy way to x this is to inherit the relevant ABC:

class SortedList(collectionsSequence):

A[j] += work(i,j);

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