In statistical pattern recognition, class conditional probability distribution is estimated and used for classification. Since it is impossible to estimate the true distribution, usually the distribution is assumed to be a certain parametric model like normal distribution and the parameters that represent the distribution are estimated from training data. However there is no guarantee that the ...

In this paper, a system consisting of single multi-state element (MSE) with performance rates and transition intensities presented as fuzzy values is introduced. Due to the lack, inaccuracy or fluctuation of collected data, it is often too difficult to evaluate the performance rates and transition intensities of multi-state element/system with precise value, especially in the continuous degrada...

Tubular KT-joints are quite common in offshore structural design and despite the crucial role of stress concentration factors (SCFs) in evaluating the fatigue performance of tubular joints. However, the SCF distribution in internally ring-stiffened KT-joints have not been investigated and no design equation is currently available to determine the SCFs for this type of joint. In the present pape...

This paper is a continuation of 161 whose notations and references we shall preserve. 6 Let 1 be a prime number, (I, q) = 1, and let 8, be an algebraic closure of 0,. Let .9(G) be the Grothendieck group of virtual G-modules over a,. for any finite-dimensional G-module E over 8,. Let T be a maximal torus of G, defined over F, and let T be the group of its F,-rational points. For any one dimensio...

A set of parametric equations of an algebraic curve or surface is called normal, if all the points of the curve or the surface can be given by the parametric equations. In this paper, we present a method to decide whether a set of parametric equations is normal. In addition, we give some simple criteria for a set of parametric equations to be normal. As an application, we present a method to fi...

In the present research, data extracted from the stress analysis of 46 finite element models, verified using test results obtained from an experimental investigation, were used to study the effect of geometrical parameters on the chord-side stress concentration factors (SCFs) of central and outer braces in uniplanar tubular KT-joints of offshore structures subjected to four different types of i...