vetítése

Vetítés is a Hungarian term that denotes the act or result of projecting or displaying something onto a surface or along a medium. It is used in several contexts, including film and media, slide presentations, and mathematics. Etymology: from the verb vetíteni, meaning to cast or throw forward; with the noun form vetítés meaning projection or screening.

In cinema and audiovisual contexts, vetítés refers to the screening of a film or video for an audience. It encompasses the technical process of projecting images via a projector (vetítőgép) onto a screen (vetítővászon), and may specify the format (analog film, digital cinema) and the screening time. The term is common in cinemas, theatres, and home entertainment when referring to scheduled screenings.

In the context of presentations and slides, "diavetítés" or "vetítés" can describe the projection of slides or images during a talk, lecture, or conference. Modern use often overlaps with digital display and screen sharing.

In mathematics, vetítés denotes a projection operation: a linear projection is a linear transformation P of a vector space V onto a subspace W such that P^2 = P. It formalizes the idea of “dropping” components along a complementary subspace. Projections are fundamental in geometry, linear algebra, and functional analysis, and lead to concepts such as orthogonal projections when a chosen inner product is available.