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In a hydrocarbon molecule with all carbon atoms making up the backbone in a tetrahedral molecular geometry, the zigzag backbone is in the paper plane (chemical bonds depicted as solid line segments) with the substituents either sticking out of the paper toward the viewer (chemical bonds depicted as solid wedges) or away from the viewer ...
[3] [4] This diagram style is an alternative to a sawhorse projection, which views a carbon–carbon bond from an oblique angle, or a wedge-and-dash style, such as a Natta projection. These other styles can indicate the bonding and stereochemistry , but not as much conformational detail.
These fragments were then used as building blocks in the structure generator. This structure generator was part of a CASE system, ESESOC. [23] Breadth-first search generation. Molecular structure generation is explained step by step. Starting from a set of atoms, bonds are added between atom pairs until reaching saturated structures.
The wedge product was introduced originally as an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogues: the magnitude of a 2-blade is the area of the parallelogram defined by and , and, more generally, the magnitude of a -blade is the (hyper)volume of the parallelotope defined by the ...
In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that of a smaller set of objects, together with a set of operations that can be applied to it, that result in the creation of a larger collection of objects, called the generated set .
Symplectic geometry arose from the study of classical mechanics and an example of a symplectic structure is the motion of an object in one dimension. To specify the trajectory of the object, one requires both the position q and the momentum p , which form a point ( p , q ) in the Euclidean plane R 2 {\displaystyle \mathbb {R} ^{2}} .
In geometry, a double wedge is the (closure of) the symmetric difference of two half-spaces whose boundaries are not parallel to each other. For instance, in the Cartesian plane, the union of the positive and negative quadrants forms a double wedge, and more generally in two dimensions a double wedge consists of the set of points within two vertical angles defined by a pair of lines.
The company was founded in 1995 by Stéphane Ratel and is now considered the global leader in GT racing. [1] SRO also organises the multi-disciplinary FIA Motorsport Games, as well as e-sports events and touring car categories. As of 2020 it keeps offices in London, Paris, Liège and Hong Kong, while Ratel continues to act as CEO. [2]