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Shear mapping. Horizontal shearing of the plane, transforming the blue into the red shape. The black dot is the origin. In fluid dynamics a shear mapping depicts fluid flow between parallel plates in relative motion. In plane geometry, a shear mapping is an affine transformation that displaces each point in a fixed direction by an amount ...
The mathematical model representing simple shear is a shear mapping restricted to the physical limits. It is an elementary linear transformation represented by a matrix. The model may represent laminar flow velocity at varying depths of a long channel with constant cross-section. Limited shear deformation is also used in vibration control, for ...
Jakarta XML Binding. Jakarta XML Binding (JAXB; formerly Java Architecture for XML Binding) is a software framework that allows Java EE developers to map Java classes to XML representations. JAXB provides two main features: the ability to marshal Java objects into XML and the inverse, i.e. to unmarshal XML back into Java objects.
Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...
In this shear mapping the red arrow changes direction, but the blue arrow does not. The blue arrow is an eigenvector of this shear mapping because it does not change direction, and since its length is unchanged, its eigenvalue is 1. A 2×2 real and symmetric matrix representing a stretching and shearing of the plane.
Below is a shear mapping with infinite order. Below that are their compositions, which both have order 3. In mathematics, an iterated function is a function that is obtained by composing another function with itself two or several times. The process of repeatedly applying the same function is called iteration. In this process, starting from ...
ConcurrentSkipListMap. For ordered access as defined by the java.util.NavigableMap interface, java.util.concurrent.ConcurrentSkipListMap was added in Java 1.6, [1] and implements java.util.concurrent.ConcurrentMap and also java.util.concurrent.ConcurrentNavigableMap. It is a Skip list which uses Lock-free techniques to make a tree.
In computing and data management, data mapping is the process of creating data element mappings between two distinct data models. Data mapping is used as a first step for a wide variety of data integration tasks, including: [1] Data transformation or data mediation between a data source and a destination. Identification of data relationships as ...