The standard construction of upwind diierence schemes for hyper-bolic systems of conservation laws requires the full eigensystem of the Jacobian matrix. This system is used to deene the transformation into and out of the characteristic scalar elds, where upwind diierencing is meaningful. When the Jacobian has a repeated eigenvalue, the associated normalized eigenvectors are not uniquely determi...

Thus white noise is uniform in Fourier space, at least for frequencies below the inverse correlation time. Another way of looking at this is that the distribution of white noise is smooth in real space. Therefore it is also uniform with the same distribution under any linear transformation whose Jacobian is 1. The Jacobian of a symmetric Fourier transform (using the prefactor 1/ √ 2π) must have...

It was recently shown that vocal tract postures assumed during pauses in read speech are significantly different from those assumed at absolute rest. This paper examines whether the former category of “articulatory settings” are more mechanically advantageous than absolute rest postures with respect to speech articulation. Appropriate task and articulator variables are extracted from real-time ...

To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than t...

This paper addresses the approximation problem of Jacobian inverse kinematics algorithms for redundant robotic manipulators. Specifically, we focus on the approximation of the Jacobian pseudo inverse by the extended Jacobian algorithm. The algorithms are defined as certain dynamic systems driven by the task space error, and identified with vector field distributions. The distribution correspond...

Voxel-based morphometry (VBM) and tensor-based morphometry (TBM) both rely on spatial normalization to a template and yet have different requirements for the level of registration accuracy. VBM requires only global alignment of brain structures, with limited degrees of freedom in transformation, whereas TBM performs best when the registration is highly deformable and can achieve higher registra...

We investigate the stability of a dynamic brain model using conventional techniques of linearization of the state space equations of motion for two nearby solutions followed by solution via expansion in the eigenvectors of the Jacobian matrix with eigenvalues λ1, λ2, ..., λn. The fundamental stability condition for brains is then |λk| ≅ 1. By equating terms in two versions of the characteristic...

Newton-Raphson State Estimation method using bus admittance matrix remains as an efficient and most popular method to estimate the state variables. Elements of Jacobian matrix are computed from standard expressions which lack physical significance. In this paper, elements of the state estimation Jacobian matrix are obtained considering the power flow measurements in the network elements. These ...

For a legged robot such as a humanoid, balancing its body during a given motion is natural but the most important problem. Recently, a motion given to a humanoid is more and more complicated, and thus the balancing problem becomes much more critical. This paper suggests a real-time motion generation algorithm that guarantees a humanoid to be balanced during the motion. A desired motion of each ...

In the present paper, we have analyzed nonlinear harmonic response in microwave, photonic devices, and waveguides, applications. Based on Frobenius power series expansions, a special software has been cast and applied with very small truncation error (less than 10 -8 ). Four basic sets of nonlinear harmonic response systems have been processed: i) New algorithms for computing twelve Jacobian el...