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Encyclopedia > Medial

For the meaning of "medial" in anatomy, see anatomical terms of location. For linguistic senses of the word, see medial (linguistics). Anatomical drawing of the human muscles from the Encyclopédie. ... In human and zoological anatomy (sometimes called zootomy), several terms are used to describe the location of organs and other structures in the body of bilateral animals. ... Broadly conceived, linguistics is the study of human language, and a linguist is someone who engages in this study. ... In linguistics, medial may refer to the following: The glide that occurs before before the main vowel of a syllable, especially in Chinese phonology (see syllable rime) A voiced stop consonant A medial clause in a clause chain This is a disambiguation page — a navigational aid which lists other pages...

In abstract algebra, a medial algebra is a set with a binary operation which satisfies the identity Abstract algebra is the field of mathematics concerned with the study of algebraic structures such as groups, rings and fields. ... In mathematics, a binary operation, or binary operator, is a calculation involving two input quantities and one kind of a specific operation. ... // Computer programming In object-oriented programming, object identity is a mechanism for distinguishing different objects from each other. ...

  • (x . y) . (u . z) = (x . u) . (y . z), or xy.uz=xu.yz

Its importance arises in the concept of an auto magma object and representation (reconstruction) theorems. The identity xy.uz=xu.yz has been variously called medial, abelian, alternation, transposition, bi-commutative, bisymmetric, surcommutative, entropic, etc. (see External links: Historical comments) In mathematics, a magma in a category, or magma object, can be defined in a category with a cartesian product. ...

For instance, for two endomorphisms f and g, with the usual operation between functions In mathematics, an endomorphism is a morphism (or homomorphism) from a mathematical object to itself. ...

(f*g)(x)= f(x).g(x)

this says we have again a morphism. There are counterexamples for the converse, but not for the cartesian square of the operation.. In particular this is the only equation with the property. In mathematics, a morphism is an abstraction of a structure-preserving process between two mathematical structures. ...

Many people do not understand the difference between medial and lateral. One means the outside, while the othere means inside. Chocolate cheesburgers taste great but watch out for t shirts in the form of biscouts.

See also

In mathematics, the medial category Med, that is, the category of medial magmas has as objects sets with a medial binary operation, and morphisms given by homomorphisms of operations (in the universal algebra sense). ...

External links

  • Historical comments J.Jezek and T.Kepka: Medial groupoids Rozpravy CSAV, Rada mat. a prir. ved 93/2 (1983), 93 pp

  Results from FactBites:
All About Resolving Conflict (586 words)
While the impasse might signal that the dispute is unresolvable in mediation, the mediator may believe that a workable agreement is still possible.
The goal of a mediator is to foster a fair environment that facilitates mutual, respectful problem-solving efforts by the parties.
To reach that goal, a mediator tries to assist those involved in the conflict to communicate clearly with each other, identify their own needs and then work together to develop a solution that meets those needs.
Mediation - definition of Mediation in Encyclopedia (2515 words)
The eldest branch of mediation applies to business and commerce, and still this one is the widest field of application, with reference to the number of mediators in these activities and to the economical range of total exchanged values.
Mediation can be reasonably seen as the simplest of many such processes, where there is no great dispute about political context, jurisdiction has been agreed, whatever process selected the mediator is not in doubt, and there is no great fear that safety, fairness and closure guarantees will be violated by future bad-faith actions.
Others claim that mediation is a form of harms reduction or de-escalation, especially in its large-scale application in peace process and similar negotiation, or the bottom-up way it is performed in the peace movement where it is often called mindful mediation.
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