In many contexts in mathematics the term inverse indicates the opposite of something. This word and its derivatives are used widely in mathematics, as illustrated below. Inverse element of an element x with respect to a binary operation * with identity element e is an element y such that x * y = y * x = e. In particular, the additive inverse of x is ¿x; the multiplicative inverse or reciprocal of x is x.
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Texture mapping
Texture mapping is a method for adding detail, surface texture, or color to a computer-generated graphic or 3D model. Its application to 3D graphics was pioneered by Dr Edwin Catmull in his Ph.D. thesis of 1974.
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Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early as Thales (6th Century BC).
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Model theory
In mathematics, model theory is the study of (classes of) mathematical structures using tools from mathematical logic. It has close ties to abstract algebra, particularly universal algebra. Objects of study in model theory are models for formal languages which are structures that give meaning to the sentences of these formal languages.
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Compact space
In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness property, which has many important implications not valid in general spaces.
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Image resolution
Image resolution is an umbrella term that describes the detail an image holds. The term applies to raster digital images, film images, and other types of images. Higher resolution means more image detail. Image resolution can be measured in various ways. Basically, resolution quantifies how close lines can be to each other and still be visibly resolved. Resolution units can be tied to physical sizes (e.g.
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