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Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions , to describe the sizes or locations of objects in the everyday world.
The Nuova Cronica, a 14th-century history of Florence by the Florentine banker and official Giovanni Villani, includes much statistical information on population, ordinances, commerce and trade, education, and religious facilities and has been described as the first introduction of statistics as a positive element in history, [3] though neither ...
4D (software), a complete programming environment including database and web server 4D SAS, developers of 4D and Wakanda; 4D Inc, a US-based subsidiary of 4D SAS; 4D BIM, a term used in computer aided design; 4D printing; Cinema 4D, a commercial cross platform 3D graphics application; SGI IRIS 4D, a line of workstations from Silicon Graphics
The Fourth Dimension (Hypocrisy album), 1994; The Fourth Dimension (Jack McDuff album), 1974; Fourth Dimension (Stratovarius album), 1995; Fourth Dimension (Radiophonic album), by Paddy Kingsland
Data assimilation is a mathematical discipline that seeks to optimally combine theory (usually in the form of a numerical model) with observations. There may be a number of different goals sought – for example, to determine the optimal state estimate of a system, to determine initial conditions for a numerical forecast model, to interpolate sparse observation data using (e.g. physical ...
It is sometimes referred to as "4D Gaussian splatting"; however, this naming convention implies the use of 4D Gaussian primitives (parameterized by a 4×4 mean and a 4×4 covariance matrix). Most work in this area still employs 3D Gaussian primitives, applying temporal constraints as an extra parameter of optimization.
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Like the 3D polyhedral groups, the names of the 4D polychoric groups given are constructed by the Greek prefixes of the cell counts of the corresponding triangle-faced regular polytopes. [12] Extended symmetries exist in uniform polychora with symmetric ring-patterns within the Coxeter diagram construct.