| Webster's Online Dictionary |
| Part of Speech | Definition | |
| Adjective | 1. Patterned after one's self.[Websters]. | |
| Top | ||
|
Date "Automorphic" was first used in popular English literature: sometime before 1914. (references) |
|
Etymology:Automorphic \Au`to*mor"phic\, adjective. [Auto- Greek expression for, shape.]. (references) |
| Domain | Definition | ||
| Mining | A. Said of the holocrystalline texture of an igneous or metamorphic rock, characterized by crystals bounded by their own rational faces. Also said of a rock with such a texture. The term idiomorphic is more common in U. S.usage. Cf: xenomorphic b. A synonym of euhedral, obsolete in U. S.usage, but generally preferred in European usage. Syn: automorphic-granular; euhedral. (references) | ||
|
Source: compiled by the editor from various references; see credits. | Top | ||
| Expressions | Definition | ||
| Automorphic form | In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2(R) of modular forms, and a discrete group Γ in G, to generalise the modular group, or one of its congruence subgroups. The formulation requires the general notion of factor of automorphy j for Γ, which is a type of 1-cocycle in the language of group cohomology. The values of j may be complex numbers, or in fact complex square matrices, corresponding to the possibility of vector-valued automorphic forms. The cocycle condition imposed on the factor of automorphy is something that can be routinely checked, when j is derived from a Jacobian matrix, by means of the chain rule. (references) | ||
| Automorphic number | In mathematics an automorphic number is a number whose square "ends" in the number itself. For example, 52 = 25, 762 = 5776, and 8906252 = 793212890625. (references) | ||
|
Source: compiled by the editor from various references; see credits. | Top | ||
Extended Definition: AUTOMORPHICAutomorphicAutomorphic in mathematics may apply to
Source: adapted by the editor from Wikipedia, the free encyclopedia; from the article "Automorphic". Image Credit. |
Topics by Level of Interest: AUTOMORPHIC | ||||
| Topics sorted by level of Interest | Level (1=low, 600=high) | Topics sorted Alphabetically | Level (1=low, 600=high) | |
| Automorphic form | 11 | Automorphic | 2 | |
| Automorphic factor | 7 | Automorphic factor | 7 | |
| Automorphic number | 6 | Automorphic form | 11 | |
| Automorphic | 2 | Automorphic number | 6 | |
|
Source: the editor, created by/for EVE to gauge likely levels of human interest in linguistically triggered topics (compiled across various sources, such as Wikipedia and specialty expression glosses). | ||||
|
| ||
| Position | Synonyms (sorted by strength) | |
Other |
automorphous, idiomorphic. | |
| Source: Eve, based on meta analysis. | Top | |
Computed Synonyms: automorphic
| ||||||||||||||||||||||
| Language | Translations (or nearest inflections or synonyms, in parentheses) | |||
| Bohemian | automorfan (automorphic). Additional references: Bohemian, Czech Republic, automorphic. (volunteer & more translations) | |||
| Cestina | automorfan (automorphic). Additional references: Cestina, Czech Republic, automorphic. (volunteer & more translations) | |||
| Chinese Simplified | 自形的 (automorphic, idiomorphic). Additional references: Chinese Simplified, China, Brunei, automorphic. (volunteer & more translations) | |||
| Croatian | automorfan (automorphic). Additional references: Croatian, Croatia, automorphic. (volunteer & more translations) | |||
| Czech | automorfan (automorphic). Additional references: Czech, Czech Republic, automorphic. (volunteer & more translations) | |||
| Français | idiomorphique (automorphic, euhedral, idiomorphic), automorphique (automorphic, euhedral, idiomorphic). Additional references: Français, France, Algeria, automorphic. (volunteer & more translations) | |||
| French | idiomorphique (automorphic, euhedral, idiomorphic), automorphique (automorphic, euhedral, idiomorphic). Additional references: French, France, Algeria, automorphic. (volunteer & more translations) | |||
| Greek | αυτόμορφος (automorphic), ιδιόμορφο (automorphic, euhedral, idiomorphic), εύεδρο (automorphic, euhedral, idiomorphic), αυτόμορφο (automorphic, euhedral, idiomorphic). Additional references: Greek, Greece, Albania, automorphic. (volunteer & more translations) | |||
| Greek (transliteration) | aitomorfos (automorphic), idhiomorfo (automorphic, euhedral, idiomorphic), euedhro (automorphic, euhedral, idiomorphic), aitomorfo (automorphic, euhedral, idiomorphic). Additional references: Greek, Greece, Albania, automorphic. (volunteer & more translations) | |||
| Japanese | 自形の (automorphic), 自己モルヒネだ (automorphic), 自形 (automorphic). Additional references: Japanese, Japan, Taiwan, automorphic. (volunteer & more translations) | |||
| Slovak | idiomorfný (automorphic, euhedral, idiomorphic), automorfný (automorphic). Additional references: Slovak, Slovakia, Hungary, automorphic. (volunteer & more translations) | |||
| Slovakian | idiomorfný (automorphic, euhedral, idiomorphic), automorfný (automorphic). Additional references: Slovakian, Slovakia, Hungary, automorphic. (volunteer & more translations) | |||
| Spanish | idiomórfico (automorphic), euhedral (automorphic, idiomorphic), automórfico (automorphic). Additional references: Spanish, Spain, Mexico, automorphic. (volunteer & more translations) | |||
| Source: Eve, based on a combination of meta analysis and graph theory (for near and back translations). | Top | |||
| Language | Translations for “automorphic” or closest synonym(s); back translations in parentheses. | |||
| Athag | athagautathagomathagorphathagic (automorphic). Additional references: Athag, automorphic. (volunteer) | |||
| Double Dutch | agautagomagorphagic (automorphic). Additional references: Double Dutch, automorphic. (volunteer) | |||
| Leet | ^(_)7¤^^¤|z|?<~>1< (automorphic). Additional references: Leet, automorphic. (volunteer) | |||
| Oppish | opautopomoporphopic (automorphic). Additional references: Oppish, automorphic. (volunteer) | |||
| Pig Latin | automorphicway (automorphic). Additional references: Pig Latin, automorphic. (volunteer) | |||
| Terran B | automorfiyq (automorphic). Additional references: Terran B, automorphic. (volunteer) | |||
| Ubbi Dubbi | ubautubomuborphubic (automorphic). Additional references: Ubbi Dubbi, automorphic. (volunteer) | |||
| Source: compiled by the editor. | Top | |||
|
|
