Applications
The theory has found a great deal of applications, besides cardinal arithmetic. The original survey by Shelah, Cardinal arithmetic for skeptics, includes the following topics: almost free abelian groups, partition problems, failure of preservation of chain conditions in Boolean algebras under products, existence of Jónsson algebras, existence of entangled linear orders, equivalently narrow Boolean algebras, and the existence of nonisomorphic models equivalent in certain infinitary logics.
In the meantime, many further applications have been found in Set Theory, Model Theory, Algebra and Topology.
Read more about this topic: PCF Theory
Other articles related to "applications, application":
Transistor - Comparison With Vacuum Tubes - Advantages
... that have allowed transistors to replace their vacuum tube predecessors in most applications are Small size and minimal weight, allowing the development of miniaturized electronic devices ... operating voltages, making transistors suitable for small, battery-powered applications ... period for cathode heaters required after power application ...
... that have allowed transistors to replace their vacuum tube predecessors in most applications are Small size and minimal weight, allowing the development of miniaturized electronic devices ... operating voltages, making transistors suitable for small, battery-powered applications ... period for cathode heaters required after power application ...
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... Microelectronics This application, mainly applied to silicon wafers/silicon integrated circuits is the most developed of the technologies and the most ...
... Microelectronics This application, mainly applied to silicon wafers/silicon integrated circuits is the most developed of the technologies and the most ...
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... The first genetically modified food product was a tomato which was transformed to delay its ripening ... Researchers in Indonesia, Malaysia, Thailand, Philippines and Vietnam are currently working on delayed-ripening papaya in collaboration with the University of Nottingham and Zeneca ...
... The first genetically modified food product was a tomato which was transformed to delay its ripening ... Researchers in Indonesia, Malaysia, Thailand, Philippines and Vietnam are currently working on delayed-ripening papaya in collaboration with the University of Nottingham and Zeneca ...
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... The idea was to use OpenStep code as a basis for network-wide applications running across different platforms, as opposed to using CORBA or some other system ... which defined an operating system that applications would run in, under PDO the libraries were compiled into the application itself, creating a stand-alone "native" application for a ... amount of supporting code (Objective-C and the libraries), PDO applications were nevertheless considerably smaller than similar CORBA solutions, typically about one-half to one-third the size ...
... The idea was to use OpenStep code as a basis for network-wide applications running across different platforms, as opposed to using CORBA or some other system ... which defined an operating system that applications would run in, under PDO the libraries were compiled into the application itself, creating a stand-alone "native" application for a ... amount of supporting code (Objective-C and the libraries), PDO applications were nevertheless considerably smaller than similar CORBA solutions, typically about one-half to one-third the size ...
X Servers - Limitations and Criticism - Network
... manner similar to GNU Screen in relation to terminals), and other applications and toolkits provide related facilities ... allows the user interface (mouse, keyboard, monitor) of a running application to be switched from one location to another without stopping and restarting the application ... This can be important in some applications, such as process monitoring and control ...
... manner similar to GNU Screen in relation to terminals), and other applications and toolkits provide related facilities ... allows the user interface (mouse, keyboard, monitor) of a running application to be switched from one location to another without stopping and restarting the application ... This can be important in some applications, such as process monitoring and control ...
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