# Definitions for **medial**ˈmi di əl

### This page provides all possible meanings and translations of the word **medial**

### Random House Webster's College Dictionary

me•di•alˈmi di əl(adj.)

in or pertaining to the middle.

pertaining to a mean or average; average.

(of a sound or letter) occurring within a word, syllable, or other linguistic unit, as the sounds (i) and (t) in city; not initial or final.

**Category:**Phonetics(n.)a medial sound or letter. .

**Category:**Phonetics**Ref:**media2 (def. 2) 1 2 1

#### Origin of **medial**:

1560–70; < LL mediālis; see medium , -al1

me′di•al•ly(adv.)

### Princeton's WordNet

medial, median(adj)

dividing an animal into right and left halves

median, medial(adj)

relating to or situated in or extending toward the middle

### Wiktionary

medial(Noun)

One or more letters that occur in the middle of a word.

medial(Noun)

Any of various things that occur in the middle.

medial(Adjective)

Of or pertaining to a mean or average.

medial allegation

medial(Adjective)

Pertaining to the inside; closer to the midline.

The medial side of the knee faces the other knee, while the outer side of the knee is lateral.

**Origin:** From medialis.

### Webster Dictionary

Medial(adj)

of or pertaining to a mean or average; mean; as, medial alligation

Medial(noun)

see 2d Media

### Freebase

Medial

In abstract algebra, a medial magma is a set with a binary operation which satisfies the identity using the convention that juxtaposition denotes the same operation but has higher precedence. This identity has been variously called medial, abelian, alternation, transposition, interchange, bi-commutative, bisymmetric, surcommutative, entropic etc. Any commutative semigroup is a medial magma, and a medial magma has an identity element if and only if it is a commutative monoid. Another class of semigroups forming medial magmas are the normal bands. Medial magmas need not be associative: for any nontrivial abelian group and integers m ≠ n, replacing the group operation with the binary operation yields a medial magma which in general is neither associative nor commutative. Using the categorial definition of the product, one may define the Cartesian square magma M × M with the operation The binary operation ∙ of M, considered as a function on M × M, maps to x∙y, to u∙v, and to ∙ . Hence, a magma M is medial if and only if its binary operation is a magma homomorphism from M × M to M. This can easily be expressed in terms of a commutative diagram, and thus leads to the notion of a medial magma object in a category with a Cartesian product.

# Translation

#### Find a translation for the **medial** definition in other languages:

Select another language:

#### Discuss these medial definitions with the community:

# Citation

## Use the citation below to add this definition to your bibliography:

"medial." *Definitions.net.* STANDS4 LLC, 2014. Web. 18 Sep. 2014. <http://www.definitions.net/definition/medial>.