This paper presents a practical and effective novel approach to curve fit electromechanical EM overcurrent OC relay characteristics. Based on singular value decomposition SVD , the curves are fitted with equation in state space under modal coordinates. The relationships between transfer function and Markov parameters are adopted in this research to represent the characteristic curves of EM OC r...

We introduce the new price probability measure, which entirely depends on measures of value and volume market trades. define nth statistical moment as ratio to all trades performed during an averaging time interval Δ. The set moments determines characteristic function its Fourier transform defines measure. volatility 1st 2nd prediction requires a description sums squares Δ we call it second-ord...

1. Let M be a complex manifold with a smooth boundary which will be denoted bM , dim C M = n. Let us denote M = M ∪ bM and assume for simplicity that M ⊂ ˜ M where˜M is a complex neighbourhood of M , dim C ˜ M = n, so that every point z ∈ bM is an interior point of˜M. Let us take a C ∞-function ρ : ˜ M → R such that M = z | ρ(z) < 0 , bM = z | ρ(z) = 0 ; dρ(z) = 0 for all z ∈ bM. (0.1) For any ...

`=1 ∫ |x|>ε |x| μn`(dx) = 0 for all ε > 0, where x 7→ |x| denotes a fixed homogeneous norm on the Heisenberg group. Professor E. Siebert suggested a way to prove similar results for a Lie group G. The main step is the generalization of Lemma 1 in Pap [4] for an arbitrary Lie group G, which gives an estimation for the Fourier transform of a probability measure on G in terms of integrals of local...

Homogeneous coordinates are often used in computer graphics and computer vision applications especially for the representation of geometric transformations. The homogeneous coordinates enable us to represent translation, rotation, scaling and projection operations in a unique way and handle them properly. Today’s graphics hardware based on GPU offers a very high computational power using pixel ...

Multivariate data sets exist in a wide variety of fields and parallel coordinates visualizations are commonly used for analysing such data. This paper presents a usability evaluation where we compare three types of parallel coordinates visualization for exploratory analysis of multivariate data. We use a standard parallel coordinates display with manual permutation of axes, a standard parallel ...