projection

Angol

Főnév

projection (tsz. projections)

1. (matematika) vetület
2. In set theory, a projection is one of two closely related types of functions or operations, namely:
   1. A set-theoretic operation typified by the $j$^th projection map, written $\mathrm {proj} _{j},$ that takes an element ${\vec {x}}=(x_{1},\ \dots ,\ x_{j},\ \dots ,\ x_{k})$ of the Cartesian product $(X_{1}\times \cdots \times X_{j}\times \cdots \times X_{k})$ to the value $\mathrm {proj} _{j}({\vec {x}})=x_{j}.$
   2. A function that sends an element $x$ to its equivalence class under a specified equivalence relation $E,$ or, equivalently, a surjection from a set to another set. The function from elements to equivalence classes is a surjection, and every surjection corresponds to an equivalence relation under which two elements are equivalent when they have the same image. The result of the mapping is written as $[x]$ when $E$ is understood, or written as $[x]_{E}$ when it is necessary to make $E$ explicit.

Szókapcsolatok

• axonometric projection

További információk

• projection - Szótár.net (en-hu)
• projection - Sztaki (en-hu)
• projection - Merriam–Webster
• projection - Cambridge
• projection - WordNet
• projection - Яндекс (en-ru)
• projection - Google (en-hu)
• projection - Wikidata
• projection - Wikipédia (angol)

Francia

Kiejtés

• IPA: /pʁɔ.ʒɛk.sjɔ̃/

Főnév

projection nn (plural projections)

1. dobás, hajítás, elröpítés, kilövés; kilökés

További információk

• projection - Szótár.net (fr-hu)
• projection - Reverso (fr-en)
• projection - Robert
• projection - Larousse
• projection - TLFI
• projection - Google (fr-en)
• projection - Яндекс (fr-ru)
• projection - Wikidata
• projection - Wikipédia (francia)