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Superposed order of the Colosseum. Superposed order (also superimposed) [1] is one where successive storeys of a building have different orders. [2] The most famous ancient example of such an order is the Colosseum at Rome, which had no less than four storeys of superposed orders. [3]
For example, a beam can be modeled as a linear system where the input stimulus is the load on the beam and the output response is the deflection of the beam. The importance of linear systems is that they are easier to analyze mathematically; there is a large body of mathematical techniques, frequency-domain linear transform methods such as ...
is the linear combination of vectors and such that = +. In mathematics, a linear combination or superposition is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).
Another column can now be observed up close in the St. Peter's Treasury Museum. Other columns from this set of twelve have been lost over the course of time. If these columns really were from one of the Temples in Jerusalem, the spiral pattern may have represented the oak tree which was the first Ark of the Covenant, mentioned in Joshua 24:26. [3]
To compare the shapes of two or more objects, the objects must be first optimally "superimposed". Procrustes superimposition (PS) is performed by optimally translating, rotating and uniformly scaling the objects. In other words, both the placement in space and the size of the objects are freely adjusted. The aim is to obtain a similar placement ...
In mathematics, and more specifically in homological algebra, a resolution (or left resolution; dually a coresolution or right resolution [1]) is an exact sequence of modules (or, more generally, of objects of an abelian category) that is used to define invariants characterizing the structure of a specific module or object of this category.
Some descriptions of entasis [10] state simply that the technique was an enhancement applied to the more primitive conical columns to make them appear more substantial. Other descriptions argue that the technique emphasizes the substantiality of, not the columns, but rather, of some other part or of the building while being viewed as a whole.
A geometry is a pregeometry in which the closure of singletons are singletons and the closure of the empty set is the empty set. Independence, bases and dimension [ edit ]