Set Theory In C++
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A class in C++ maps to a set in set theory.
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Set Theory In C++
- 1. Set Theory in C++ Andrew Zhuang [email_address] Aug.7, 2008
- 31. Thank You!
Notas del editor
- The first method of enumeration is not applicable in C++, and the second method defining commonality of the elements is used to declare and define a class in C++.
- A class is not discerned or classified by its private or protected members, but by its public ones which are visible.
- This basically restates the rules for member access (§15.3) [1]. We choose access for bases in the same way as for members. [1]
- Question: When should a composition class or a derived class be used? Answer: Composition is used to describe the relationship that “A is part of B” while the single inheritance is used to represents the relationship that “A is a kind (or subset) of B” . And the multiple inheritances represent the relationship that “A is a kind of B in the same time A is a kind C” or “A is the intersection of set B and set C”.
- By default, C++ matches a function call with the correct function definition at compile time. This is called static binding . You can specify that the compiler match a function call with the correct function definition at run time; this is called dynamic binding .
- By default, C++ matches a function call with the correct function definition at compile time. This is called static binding . You can specify that the compiler match a function call with the correct function definition at run time; this is called dynamic binding .
- Actually we can change Singleton a little bit to permit it to have some number of elements.
- For example, we can think A0 represents flower , A1 represents rose , and A2 represents red rose .
- For example, A_0 is integer , A1 is odd number , and A_2 is even numbe r. When A_1 has 2 more public functions compared to its base class A_0, then we can defined the below complete subclasses from A_0. class A_1: public A_0 { public: move(); draw(); }; class A_2: public A_0 { public: unmove(); draw(); }; class A_3: public A_0 { public: move(); undraw(); }; class A_4: public A_0 { public: unmove(); undraw(); };
- A_0 can be an abstract class or not.
- Actually we can pick up the two arbitrary classes and then derive a new class from them in C++, however we need to think of the semantics of what we are doing. For example, 1) the class of TCP process can be derived from the two classes: Process and TCP ; 2) some guy is a scientist and musician . class C: public A, protected B { … }; Only the friends of B, the derived classes of B and the friends of the derived classes of B think C is a kind of A and B. class C: public A, private B { … }; Only the friends of B think C is a kind of A and B.
- From above figure, we can understand why class window is declared as the virtual base of class window_with_menu and class window_with_border.
- 老子道德经：第一章 无名，天地之始；有名，万物之母。 故常无欲，以观其妙；常有欲，以观其徼。 此两者，同出而异名，同谓之玄。玄之又玄，众妙之门。 “ 无”可以用来表述天地浑沌未开之际的状况；而“有”，则是宇宙万物产生之本原的命名。 因此，要常从“无”中去观察领悟“道”的奥妙；要常从“有”中去观 察体会“道”的端倪。 无与有这两者，来源相同而名称相异，都可以称之为玄妙、深远。 它不是一般的玄妙、深奥，而是玄妙又玄妙、深远又深远，是宇宙天地万物之奥妙的总门 ( 从“有名”的奥妙到达无形的奥妙，“道”是洞悉一切奥妙变化的门径 ) 。