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Polygon decomposition is applied in several areas: [1] Pattern recognition techniques extract information from an object in order to describe, identify or classify it. An established strategy for recognising a general polygonal object is to decompose it into simpler components, then identify the components and their interrelationships and use this information to determine the shape of the object.
An example of their use is given by Meha Agrawal: "Starting from the center, I would add tier after tier of blocks to build my pattern — it was an iterative process, because if something didn't look aesthetically appealing or fit correctly, it would require peeling off a layer and reevaluating ways to fix it.
In the breakdown of a compound into its constituent parts, the generalized reaction for chemical decomposition is: AB → A + B (AB represents the reactant that begins the reaction, and A and B represent the products of the reaction) An example is the electrolysis of water to the gases hydrogen and oxygen: 2 H 2 O(l) → 2 H 2 (g) + O 2 (g)
In physics and engineering, a free body diagram (FBD; also called a force diagram) [1] is a graphical illustration used to visualize the applied forces, moments, and resulting reactions on a free body in a given condition. It depicts a body or connected bodies with all the applied forces and moments, and reactions, which act on the body(ies).
Any such diagram (given that the vertices are labeled) uniquely determines a partial order, and any partial order has a unique transitive reduction, but there are many possible placements of elements in the plane, resulting in different Hasse diagrams for a given order that may have widely varying appearances. Knot diagram.
Consequently, dead animals decompose more rapidly than dead leaves, which themselves decompose more rapidly than fallen branches. [64] As organic material in the soil ages, its quality decreases. The more labile compounds decompose quickly, leaving an increasing proportion of recalcitrant material called humus.
A classical example is the decomposition of mercuric oxide to give oxygen and mercury metal. The reaction was used by Joseph Priestley to prepare samples of gaseous oxygen for the first time. When water is heated to well over 2,000 °C (2,270 K; 3,630 °F), a small percentage of it will decompose into OH, monatomic oxygen, monatomic hydrogen, O ...
The simplest rectilinear polygon is an axis-aligned rectangle - a rectangle with 2 sides parallel to the x axis and 2 sides parallel to the y axis. See also: Minimum bounding rectangle . A golygon is a rectilinear polygon whose side lengths in sequence are consecutive integers.
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