# simplex

## English

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English Wikipedia has an article on:
Wikipedia

### Etymology

From Latin simplex (simple).

In the mathematical sense, apparently first used (in German) in 1902, Pieter Hendrik Schoute, Mehrdimensionale Geometrie[1], where Schoute first suggests the term Simplicissimum, but then from the next page decides to use simplex "for short".[1] In his pioneering works on algebraic topology, Henri Poincaré had previously introduced the concept, but not the actual term simplex.

### Pronunciation

• IPA(key): /ˈsɪmplɛks/
•  Audio (Southern England) (file)

simplex (not comparable)

1. Single, simple; not complex.
2. Unidirectional.

#### Coordinate terms

(unidirectional):

### Noun

simplex (plural simplexes or simplices or simplicia)

1. (geometry, algebraic topology) An analogue in a space of arbitrary dimensionality of the triangle or tetrahedron; the convex hull of n+1 linearly independent points in n-dimensional space; in other words, the triangle, tetrahedron etc., generalized to an arbitrary number of dimensions.
2. A monomorphemic word, one without affixes.
-ology” is usually a suffix, but it can be used on its own as a simplex as well.
• 1978, Helga Harries-Delisle, “Contrastive Emphasis and Cleft Sentences”, in Universals of Human Language, edited by Joseph H. Greenberg, →ISBN, page 460:
The only indication that 139. is a simplex is the sentence intonation and the absence of a break between the verb and the subject.

## Latin

 I1 10[a], [b], [c], [d] 2  → [a], [b] 10  → [a], [b], [c], [d] Cardinal: ūnus     Ordinal: prīmus     Adverbial: semel     Multiplier: simplex, simplus     Distributive: singulī     Collective: ūniō     Fractional: integer

### Etymology

From Proto-Italic *sempleks, from the same root as semel +‎ -plex.

### Pronunciation

simplex (genitive simplicis, comparative simplicior, superlative simplicissimus, adverb simpliciter); third-declension one-termination adjective

1. single
2. simple, plain, uncompounded
3. pure, unmixed
4. sincere, naive, frank, open, without guile, guileless, unsuspecting
• 43 BCEc. 17 CE, Ovid, Fasti 2.225-226:
male crēditis hostī: simplex nōbilitās, perfida tēla cave!
You do wrong to trust the enemy: Guileless nobles, beware of treacherous weapons!

#### Declension

Number Singular Plural Case / Gender Masc./Fem. simplex simplicēs simplicia simplicis simplicium simplicī simplicibus simplicem simplex simplicēs simplicia simplicī simplicibus simplex simplicēs simplicia

### References

• simplex”, in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
• simplex”, in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
• simplex in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition with additions by D. P. Carpenterius, Adelungius and others, edited by Léopold Favre, 1883–1887)
• simplex in Gaffiot, Félix (1934) Dictionnaire illustré latin-français, Hachette

## Romanian

### Noun

simplex n (uncountable)

1. simplex