This variant is developed in terms of polynomials in a more general context including also the usual "local" variant of ECT. An essential concept is GM stability of C∞ unfoldings (i.e. families) Φ of functions and a criterion for this property is derived. It is shown that, near every...
Decision Tree Classification of Spatial Data Patterns from Videokeratography using Zernicke Polynomials (SDM 2003) Michael D. Twa, Srinivasan Parthasarathy, Thomas W. Raasch, Mark Bullimore [Paper]2002Multiclass Alternating Decision Trees (ECML 2002) Geoffrey Holmes, Bernhard Pfahringer, Richard Kirkby...
As mentioned above, the feature expression of different arrhythmias is obtained by a bidirectional feature extraction mechanism. Combined with relationships among those features, we can employ a graphG(V,A,W,X)to model the inter-class dependency between different arrhythmias.V={v1,…,vN}is the ...
The topological classification of a family of quadratic differential systems in terms of affine invariant polynomials Buletinul Academiei de tiine a Republicii Moldova: MatematicaSchlomiuk, DanaVulpe, Nicolae
piecewise cubic polynomials are employed to model each subinterval of the data while smooth transitions are ensured by enforcing the equality of function values, slopes, and curvatures at each designated knot. Considering that knots are positioned at each time point, there aren−1intervals to analyz...
[9]. As well, the infection affects elevated WBC in terms of WBC count, which is increased by overproduction. Some reasons to increase WBC counts are pregnancy, infections, cancers, asthma, inflammation, allergy, exercise, and Trauma [10,11]. WBC plays an important role in the immune ...
This class of functions includes: Polynomials: For some positive integer p, G(x1,x2) = (1 + x1′x2)p. (3) Radial basis function (Gaussian): G(x1,x2) = exp(–∥x1–x2∥2). (4) Multilayer perceptron or sigmoid (neural network): For a positive number p1 and a negative number...
An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. an extension to the algebraic expressions are the polynomials. Order of operationcan be defined as a standard procedure that guides you on wh...
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This representation allows also to include two-sided polynomials which contain several terms of the same degree. We applied Newton's method to P ( z ) = 0. This method turned out to be a very effective tool in finding the zeros. This method allowed also to prove, that the essential ...