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

• Medial category

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