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Roughly speaking, each vertex represents a 3-jm symbol, the graph is converted to a digraph by assigning signs to the angular momentum quantum numbers j, the vertices are labelled with a handedness representing the order of the three j (of the three edges) in the 3-jm symbol, and the graph represents a sum over the product of all these numbers ...
One cubic metre, one kilolitre or one stère—volume of a large domestic fridge-freezer (external dimensions) 3.85 × 10 1: External volume of a standard 20-foot ("TEU") cargo container, which has a capacity of 33.1 cubic metres 7.7 × 10 1: External volume of a standard 40-foot ("FEU") cargo container, which has a capacity of 67.5 cubic metres
Tucker cubic (cubic K011 in the Catalogue) of triangle ABC drawn using the GeoGebra command Cubic(A,B,C,11). GeoGebra, the software package for interactive geometry, algebra, statistics and calculus application has a built-in tool for drawing the cubics listed in the Catalogue. [3] The command Cubic( <Point>, <Point>, <Point>, n)
This is a list of well-known dimensionless quantities illustrating their variety of forms and applications. The tables also include pure numbers, dimensionless ratios, or dimensionless physical constants; these topics are discussed in the article.
The derivative of a cubic function is a quadratic function. A cubic function with real coefficients has either one or three real roots (which may not be distinct); [1] all odd-degree polynomials with real coefficients have at least one real root. The graph of a cubic function always has a single inflection point.
According to Brooks' theorem every connected cubic graph other than the complete graph K 4 has a vertex coloring with at most three colors. Therefore, every connected cubic graph other than K 4 has an independent set of at least n/3 vertices, where n is the number of vertices in the graph: for instance, the largest color class in a 3-coloring has at least this many vertices.
The Darboux cubic is the locus of a point X such that X* is on the line LX, where L is the de Longchamps point. Also, this cubic is the locus of X such that the pedal triangle of X is the cevian triangle of some point (which lies on the Lucas cubic).
As a result, every smooth cubic surface over the complex numbers is diffeomorphic to the connected sum # (), where the minus sign refers to a change of orientation. Conversely, the blow-up of P 2 {\displaystyle \mathbf {P} ^{2}} at 6 points is isomorphic to a cubic surface if and only if the points are in general position, meaning that no three ...