For example, erosion and dilation are duals in the sense that (72.47)(I⊖S)c=Ic⊕S⌣ as are opening and closure: (72.48)(I•S)c=Ic○S⌣ View chapter Book 1994, Principles of Electron Optics (Third Edition), Volume 3P.W. HAWKES, E. KASPER Chapter Handbook of Algebra 2.3 Pri...
Idempotence, in programming and mathematics, is a property of some operations such that no matter how many times you execute them, you achieve the same result. For example, pressing the “stop” button on your alarm clock is idempotent. Whether you press it once or five times, the alarm re...
Magma IdempotentElements return the set of idempotents in a magma Calling Sequence Parameters Description Examples Compatibility Calling Sequence IdempotentElements( m ) Parameters m - Array representing the Cayley table of a finite magma Description...
Saving memory state is an example of checkpointing. In general, checkpointing is any activity that is done during normal processing to reduce the amount of work to redo after a recovery. Saving memory state is a kind of checkpointing, because it ensures that when the server recovers, it ...
When configuring a new server with an existing recipe, one would ideally like to ignore details specific to, for example, the distribution or version of the operating system. Perhaps more importantly for the system’s maintainer, however, the details of whether certain aspects of the software ...
Example: In contrast, a function that flips the sign of a number is not idempotent: Then: Example: 2.2. Update Address Another practical example of an idempotent operation would be to update the contact details of a user in the system. Let’s say we update only the telephone number. The...
In this example, the final action has two properties. First, the request for the action (from the LLcom 220) is identified by a request identifier that is deterministically fixed at the time the exploratory procedure 210 of the method 240 is first invoked. This request identifier does not de...
As used in this application, the terms “component,”“handler,”“model,”“system,” and the like are intended to refer to a computer-related entity, either hardware, a combination of hardware and software, software, or software in execution. For example, a component may be, but is not...
Applications of weakly idempotent bilattices in multi-valued logic is to appear. 1. Introduction There exist various extensions of the concept of a lattice. For example, in [14], [13], weakly associative lattices were introduced and in [2], [20], [21], [23], the lattices with a ...
Pat. No. 9,578,130, which is hereby incorporated by reference herein in its entirety. Implementing computing systems that manage large quantities of data and/or service large numbers of users often presents problems of scale. For example, as demand for various types of computing services grows,...