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Dimensional weight, also known as volumetric weight, is a pricing technique for commercial freight transport (including courier and postal services), which uses an estimated weight that is calculated from the length, width and height of a package. The shipping fee is based upon the dimensional weight or the actual weight, whichever is greater.
Dimensioners are weighing and volume measuring systems for measuring three-dimensional or cuboid-shaped objects such as packages, parcels, pallets, cartons and boxes. They are frequently used as part of a much larger logistical system in a distribution center , warehouse or trucking terminal facility.
Here, the weight of knapsack item is given by a D-dimensional vector ¯ = (, …,) and the knapsack has a D-dimensional capacity vector (, …,). The target is to maximize the sum of the values of the items in the knapsack so that the sum of weights in each dimension d {\displaystyle d} does not exceed W d {\displaystyle W_{d}} .
Three dimensional extent of an object m 3: L 3: extensive, scalar Volumetric flow rate: Q: Rate of change of volume with respect to time m 3 ⋅s −1: L 3 T −1: extensive, scalar Wavelength: λ: Perpendicular distance between repeating units of a wave m L: Wavenumber: k: Repetency or spatial frequency: the number of cycles per unit distance ...
A simple application of dimensional analysis to mathematics is in computing the form of the volume of an n-ball (the solid ball in n dimensions), or the area of its surface, the n-sphere: being an n-dimensional figure, the volume scales as x n, while the surface area, being (n − 1)-dimensional, scales as x n−1.
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A weight on a Lie algebra g over a field F is a linear map λ: g → F with λ([x, y]) = 0 for all x, y in g. Any weight on a Lie algebra g vanishes on the derived algebra [g,g] and hence descends to a weight on the abelian Lie algebra g/[g,g]. Thus weights are primarily of interest for abelian Lie algebras, where they reduce to the simple ...
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