Error Analysis for the Numerical Evaluation of the Diagonal Forms of the Scalar Spherical Addition Theorem

AbstractThis paper endeavors to formulate a stable and fast algorithm for the first time that is quite accurate and fast for numerical evaluation of the Hankel transform using wavelets which are usually difficult to solve analytically so it is required to obtain the approximate solution. So we have proposed an approach depending on separating the integrand $rf(r){J_\nu}(pr)$ into two components, the slowly varying components $rf(r)$ and the rapidly oscillating component ${J_\nu}(pr)$. Then either $rf(r)$ is expanded into wavelet series using wavelets orthonormal basis which are first derived and truncating the series at an optimal level or approximating $rf(r)$ by a quadratic over the subinterval using the Filon quadrature philosophy. A good covenant between the obtained solution and some well-known results has been obtained. The solutions obtained by proposed wavelet method indicate that the approach is easy to implement and computationally very attractive. The novelty of our method is that we give error analysis for wavelet method for the first time in literature.

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The O–C diagrams of minor planets − a new approach to modelling the rotation

International Astronomical Union Colloquium ◽

10.1017/s0252921100031407 ◽

1999 ◽

Vol 173 ◽

pp. 185-188

Author(s):

Gy. Szabó ◽

K. Sárneczky ◽

L.L. Kiss

Keyword(s):

Error Analysis ◽

Time Dependence ◽

Theoretical Work ◽

Minor Planet ◽

Minor Planets ◽

New Approach ◽

Preliminary Results ◽

Ccd Observations

AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.

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Error Analysis in Neuropsychological Assessment of Verbal Memory and Learning

European Journal of Psychological Assessment ◽

10.1027/1015-5759.11.1.21 ◽

1995 ◽

Vol 11 (1) ◽

pp. 21-28 ◽

Cited By ~ 5

Author(s):

Dietmar Heubrock

Keyword(s):

Error Analysis ◽

Verbal Memory ◽

Verbal Learning ◽

Learning Disorders ◽

Memory And Learning ◽

Auditory Verbal Learning Test ◽

Additional Information ◽

Auditory Verbal Learning ◽

Accurate Picture ◽

Learning Test

Performance on a German version of the Rey Auditory-Verbal Learning Test (AVLT) was investigated for 64 juvenile patients who were subdivided in 6 clinical groups. In addition to standard evaluation of AVLT protocols which is usually confined to items recalled correctly, an error analysis was performed. Differentiating between total errors (TE), repetition errors (RE), and misnamings (ME), substantial differences between clinical groups could be demonstrated. It is argued that error analysis of verbal memory and learning enriches the understanding of neuropsychological syndromes, and provides additional information for diagnostic and clinical use. Thus, it is possible to gain a more accurate picture so that patients can be appropriately retrained, and research into the functional causes of memory and learning disorders can be intensified.

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