Typically, the diagnosis of a tumor is done through surgical sampling, which is more precise with existing methods. The difference is that this is an aggressive, time consuming and expensive way. In the statistical method, due to the complexity of the brain tissues and the similarity between the cancerous cells and the natural tissues, even a radiologist or an expert physician may also be in er...

Abstract. In this paper, we will show the existence and uniqueness of a real-time, time-sliced Feynman path integral for quantum systems with vector potential. Our formulation of the path integral will be derived on the L transition probability amplitude via improper Riemann integrals. Our formulation will hold for vector potential Hamiltonian for which its potential and vector potential each c...

Symbol Definition Ai awareness parameter value of the household i Acti = {Acti,j} discrete set with all the activities of each household i Appli = {Appli,k} discrete set with all the appliances of each household i CTOU electricity cost after adopting a TOU tariff Cinitial initial electricity cost d Cohen’s d coefficient G = {G1, .., Gk} the set of the clusters created by CSN i household number ...

Some data on the ratio of vector to vector + pseudoscalar mesons, V/(V + P ), and the probability of helicity zero vector states, ρ00(V ), are now available from LEP. A possible relation between these two quantities and their interpretation in terms of polarized fragmentation functions are discussed; numerical estimates are given for the relative occupancies of K and K, D and D, B and B states....

In this paper, we study the perturbation bound for the Perron vector of an mth-order n-dimensional transition probability tensor P = (pi1,i2,...,im) with pi1,i2,...,im ≥ 0 and ∑ n i1=1 pi1 ,i2,...,im = 1. The Perron vector x associated to the largest Z-eigenvalue 1 of P , satisfies Pxm−1 = x where the entries xi of x are nonnegative and ∑i=1 xi = 1. The main contribution of this paper is to sho...

Morphological features are used to estimate the state of a random pattern (set) governed by a multivariate probability distribution. The feature vector is composed of granulometric moments and pattern estimation involves feature-based estimation of the parameter vector governing the random set. Under such circumstances, the joint density of the features and parameters is a generalized function ...

Robust automatic language identification (LID) is the task of identifying the language from a short utterance spoken by an unknown speaker. The mainstream approaches include parallel phone recognition language modeling (PPRLM), support vector machine (SVM) and the general Gaussian mixture models (GMMs). These systems map the cepstral features of spoken utterances into high level scores by class...

t=1 Xt ≤ 2 max { 2 √ σ, √ ln( 1δ ) }√ ln( 1δ ) = Õ( √ σ), by choosing δ 1 log2(T ) . This implies inequality (2). Inequality (3) is proved similarly. Note that these high probability bounds are conditioned on the internal randomness of WL. By taking an expectation of this conditional probability over the internal randomness of WL, we conclude that inequalities (2) and (3) hold with high probabi...

The existence of uncertainty in classified remotely sensed data necessitates the application of enhanced techniques for identifying and visualizing the various degrees of uncertainty. This paper, therefore, applies the multidimensional graphical data analysis technique of parallel coordinate plots (PCP) to visualize the uncertainty in Landsat Thematic Mapper (TM) data classified by the Maximum ...

This is the second of two papers that introduce a deformation theoretic framework to explain and broaden a link between homotopy algebra and probability theory. This paper outlines how the framework can assist in the development of homotopy probability theory, where a vector space of random variables is replaced by a chain complex of random variables. This allows the principles of derived mathe...