Wave diffraction by relatively small bodies located in a multimode waveguide is analyzed on the basis of the decomposition of the primary wave into quasi-p... IA Kravtsov,VM Kuzkin,VG Petnikov - 《Izvestiya Vysshikh Uchebnykh Zavedenij Radiofizika》 被引量: 7发表: 1983年 Problems in Discre...
It was also used with regard to the interview questions that were posed to students with the purpose of identifying possible difficulties with linear dependence/independence and observing the adequacy of the relations that students might form between different elements of the genetic decomposition of ...
All of the major algorithms make use of lexicographic Groebner bases. Below we will factor the polynomial system into its prime components. Because the ideal is zero-dimensional, each component corresponds to a finite set of points in affine space. > P:=PrimeDecompositioncyclic5: > ...
It can be hard to stay up-to-date on the published papers in the field of adversarial examples, where we have seen massive growth in the number of papers written each year. I have been somewhat religiously keeping track of these papers for the last few years, and realized it may be ...
Mathematics : Calculus : Integration : Elliptic Example Worksheet 2Elliptic Integration in Maple > restart Introduction Integrals of the form ∫abaxbx yx ⅆx, with ax, bx, and yx polynomials, often return answers in closed form. For example, when yx has degree 1 or 2, the...
Partial fraction decomposition of \frac{(16x+126)}{((x+9)(x+7))} could you explain in as much detail as possible how to calculate the numerators? Interchange the order of integration. \int_{0}^{\pi}(\int_{sin(\frac{x}{2})}^{sin(x)}f(x, ...
Maplets[Examples][LinearAlgebra][QRDecomposition](M); > Maplets[Examples][LinearAlgebra][SingularValues](M); > Maplets[Examples][LinearAlgebra][VectorNorm](V); See Also Help Page Message This example runs the following Maple routine and displays the result in a message box. ...
it within the framework of linear algebra and explic- itly solve this problem. We will see how and why PCA is intimately related to the mathematical tech- nique of singular value decomposition (SVD). This understanding will lead us to a prescription for how to apply PCA in the real world...
It can be computed using various algorithms, such as Gaussian elimination or the Singular Value Decomposition (SVD). In mathematics, the two famous methods to find the rank of a matrix is shown hereunder. Minor method Echelon form How to Find Rank of a Matrix by Minor Method (i) If a ...
In the case of $rk(F^\\prime)\\leq 2$ with no global derivations increasing the $\\mathbb Z$-degree by $2$, the complete cohomological information of a supermanifold structure associated with $E$ is given in terms of cohomologies compatible with the decomposition of $E$. Details on ...