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4 results about "Spherical design" patented technology
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A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere Sᵈ such that the average value of any polynomial f of degree t or less on the set equals the average value of f on the whole sphere (that is, the integral of f over Sᵈ divided by the area or measure of Sᵈ). Such a set is often called a spherical t-design to indicate the value of t, which is a fundamental parameter. The concept of a spherical design is due to Delsarte, Goethals, and Seidel (1977), although these objects were understood as particular examples of cubature formulas earlier.
1. Name of the product in this design: Toothbrush holder (spherical design). 2. Purpose of this design: For placing toothbrushes, tooth cups, etc. 3. The key design feature of this product is its shape. 4. The image or photograph that best illustrates the design's key points: a 3D model.