biharmonic problem - определение. Что такое biharmonic problem
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Что (кто) такое biharmonic problem - определение

Biharmonic Bezier surface

Biharmonic equation         
FUNCTION F SATISFYING Δ²F=0
Bilaplacian; Biharmonic operator; Biharmonic; Biharmonic function; Bilaplacian operator; Bi-Laplacian operator; Bi-Laplacian; Bilaplace operator; Bilaplace; Bi-Laplace operator; Bi-Laplace
In mathematics, the biharmonic equation is a fourth-order partial differential equation which arises in areas of continuum mechanics, including linear elasticity theory and the solution of Stokes flows. Specifically, it is used in the modeling of thin structures that react elastically to external forces.
Biharmonic Bézier surface         
A biharmonic Bézier surface is a smooth polynomial surface which conforms to the biharmonic equation and has the same formulations as a Bézier surface. This formulation for Bézier surfaces was developed by Juan Monterde and Hassan Ugail.
Knapsack problem         
  • multiple constrained problem]] could consider both the weight and volume of the boxes. <br />(Solution: if any number of each box is available, then three yellow boxes and three grey boxes; if only the shown boxes are available, then all except for the green box.)
  • A demonstration of the dynamic programming approach.
PROBLEM IN COMBINATORIAL OPTIMIZATION
0/1 knapsack problem; 0-1 knapsack problem; Unbounded knapsack problem; Unbounded Knapsack Problem; Binary knapsack problem; Napsack problem; Backpack problem; 0-1 Knapsack problem; Integer knapsack problem; Knapsack Problem; Algorithms for solving knapsack problems; Methods for solving knapsack problems; Approximation algorithms for the knapsack problem; Bounded knapsack problem; Multiple knapsack problem; Rucksack problem; Computational complexity of the knapsack problem
The knapsack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. It derives its name from the problem faced by someone who is constrained by a fixed-size knapsack and must fill it with the most valuable items.

Википедия

Biharmonic Bézier surface

A biharmonic Bézier surface is a smooth polynomial surface which conforms to the biharmonic equation and has the same formulations as a Bézier surface. This formulation for Bézier surfaces was developed by Juan Monterde and Hassan Ugail. In order to generate a biharmonic Bézier surface four boundary conditions defined by Bézier control points are usually required.

It has been shown that given four boundary conditions a unique solution to the chosen general fourth order elliptic partial differential equation can be formulated. Biharmonic Bézier surfaces are related to minimal surfaces. i.e. surfaces that minimise the area among all the surfaces with prescribed boundary data.