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A faithful functor need not be injective on objects or morphisms. That is, two objects X and X′ may map to the same object in D (which is why the range of a full and faithful functor is not necessarily isomorphic to C), and two morphisms f : X → Y and f′ : X′ → Y′ (with different domains/codomains) may map to the same morphism in D.
Texture atlas. In computer graphics, a texture atlas (also called a spritesheet or an image sprite in 2D game development) is an image containing multiple smaller images, usually packed together to reduce overall dimensions. [1] An atlas can consist of uniformly-sized images or images of varying dimensions. [1]
In the visual arts, texture refers to the perceived surface quality of a work of art. It is an element found in both two-dimensionaland three-dimensionaldesigns, and it is characterized by its visualand physical properties. The use of texture, in conjunction with other design elements, can convey a wide range of messages and evoke various emotions.
Dune. (novel) Dune is a 1965 science fiction novel by American author Frank Herbert, originally published as two separate serials (1963–64 novel Dune World and 1965 novel Prophet of Dune) in Analog magazine. It tied with Roger Zelazny 's This Immortal for the Hugo Award for Best Novel and won the inaugural Nebula Award for Best Novel in 1966.
In music, texture is how the tempo, melodic, and harmonic materials are combined in a musical composition, determining the overall quality of the sound in a piece. The texture is often described in regard to the density, or thickness, and range, or width, between lowest and highest pitches, in relative terms as well as more specifically ...
Faithful representation. In mathematics, especially in an area of abstract algebra known as representation theory, a faithful representation ρ of a group G on a vector space V is a linear representation in which different elements g of G are represented by distinct linear mappings ρ(g) . In more abstract language, this means that the group ...
Soil texture. Soil texture is a classification instrument used both in the field and laboratory to determine soil classes based on their physical texture. Soil texture can be determined using qualitative methods such as texture by feel, and quantitative methods such as the hydrometer method based on Stokes' law.
Texture filtering. In computer graphics, texture filtering or texture smoothing is the method used to determine the texture color for a texture mapped pixel, using the colors of nearby texels (ie. pixels of the texture). Filtering describes how a texture is applied at many different shapes, size, angles and scales.