We know that by means of extended euclidean algorithmxandycan be calculated fromax + by = gcd(a, b).The formula is: x=prev_y;y=prev_x-(a/b)*x; and the code is: intgcd(inta,intb,int&x,int&y){if(b==0){x=1;y=0;returna;}intx1,y1;intd=gcd(b,a%b,x1,y1);x=y1;y=...
The fundamental concept and formula of the extended finite element method (X-FEM) are introduced in this chapter, like partition of unity and the level set method, as well as the technical process of program implementation. The expressions for enriched shape functions of the element are provided...
2. Let Y be the Poincaré half-plane and let X⊂Y be the half disk {x∈Y:|x|<1} where |x| is the euclidean norm, equipped with the metric inherited from Y. Then ∂GY is the extended real line, ∂GX=[-1,1], and the inclusion f:X→Y induces the inclusion ∂f:∂GX...
EUCLIDEAN algorithmMATHEMATICAL modelsThe analysis of algebraic invariants of algebras induced by appropriated multiset systems called Brauer configurations is a Brauer analysis of the data defining the multisets. Giving a complete description of such algebraic invariants (e.g., giving a clo...
Algorithm 9 fills a cell [i,c] in dTable that closely follows the steps from the original formulae of EDR and LCSS in eqs. (3), (4). Notation Im(Qai-bi,Paj-bj) denotes whether the MBR of Qai-bi and Paj-bj intersect each other and corresponds to value at cell [i,c] of matc...
In the PREKR method, we notice that when the iterative formula is used for calculation xk+1, it updates xk+1 with the old vector zk, although the new vector zk+1 has been obtained at the k-th step. Obviously, it reduces the computational efficiency of the method. Therefore, we conside...
The approximation by the LBP algorithm dramatically improves the efficiency of the Poisson Multi-Bernoulli Mixture (PMBM) filter and promotes its application. Although graphical models perform well in MPTT, they do not perform so well in METT due to some challenges. Because an extended target can...
Garg and Kaur (2018) also defined the distance between two PDHFEs, but from the definition of distance, the distance calculated according to this distance formula will be smaller than the real distance. At present, the research on PDHF operator is limited to these documents. Therefore, there ...
Moving Target Location Method Based on Euclidean Distance and Camshift Algorithm. In Proceedings of the 2018 Eighth International Conference on Instrumentation & Measurement, Computer, Communication and Control (IMCCC), Harbin, China, 19–21 July 2018; pp. 558–563. [Google Scholar] Li, X.R.; ...
The Levenberg–Marquardt algorithm combines the steepest descent method with the Gauss–Newton algorithm to update the weights of the network during the training process. To be more precise, the updating rule in the 𝑘k iteration is given by the following formula [52]: 𝑊𝑘+1=𝑊𝑘−...