We present a symmetry reduction for the flow near relative equilibria in S 1 -equivariant Hamiltonian systems; our approach is based on the idea of [M. Krupa, Bifurcations of relative equilibria. SIAM J. Math.
An involution is a permutation of elements that is its own inverse. Such a permutation must decompose into cycles of length one or two. You can count the involutions on n distinct elements. > involution := {inv = Set(Cycle(Z, card <= 2))}: > count([inv, involution,labeled], size=...
First we decompose the system into a sequence of zero-dimensional ideals, some of which live in an extension ring where some of the the variables are considered to be part of the coefficient field. > zdd:=ZeroDimensionalDecompositionK zdd:=xy−z,−z+yz2,...
The fast Fourier transform can be used to decompose the signal from the time domain to the frequency domain. As shown in Figure 3-8, it is a kind of square wave f, which consists of many sine waves. The components of the sine wave are shown in Figure 3-9, and after the FFT, the...
With IPP 7.0, I have (a) called ippmQRDecomp_m_64f() to QR-decompose the matrix A, (b) stored the resulting decomposition, and (c) repeatedly used the decomposition afterwards (calling ippmQRBackSubst_mv_64f()) to solve for specific vectors b. For performance reasons, ...
When describing an ODU following the Phenotype Knowledge Graph approach, one first must decompose the ODU into the constituent parts one wants to cover in the description. Each part belongs to a specific kind of anatomical entity and is therefore represented as an instance of the corresponding onto...
yes but I think the problem is on the FIBO side not the BigAdd. In the algorithm I used above it worked fine because all the math was being done using BigAdd and YES the WHOLE point of BigAdd is to convert all the "numbers" to text so Excel won't truncate them. By putting FIBO...
When describing an ODU following the Phenotype Knowledge Graph approach, one first must decompose the ODU into the constituent parts one wants to cover in the description. Each part belongs to a specific kind of anatomical entity and is therefore represented as an instance of the corresponding onto...
February 14th Valentine’s Day Parties Thursday, March 9th Open House at CES Our Learning •Reading: Readers Pursue Interests •Writing: Reviewing Procedures Expectations of the Writing Workshop •Math: Compose Decompose Numbers 1-10 •Science: Exploring Observing Types of Weather •Social Stu...
Now, however, we decompose the residuals as a function of G(•) and try to build a more precise mathematical model of the data, (1), combining Equations (4) and (5). The optimal model of (5) can reduce the unexplainable part in the regression, so the criterion determining the most...