A confusion matrix (Kohavi and Provost, 1998) contains information about actual and predicted classifications done by a classification system. Performance of such systems is commonly evaluated using the data in the matrix. The following table shows the confusion matrix for a two class classifier. The entries in the confusion matrix have the following meaning in the context of our study: ● a is ...

CID map (similar results obtained for CIR and inclination maps) obtainable in as little as one minute following CA injection, compared to (b) T2w and (c) SSFP imaging that visualize a more homogeneous lesion. (d) Delayed enhancement imaging acquired many minutes post-contrast injection demonstrate similar lesion core and border regions after subtraction with pre-contrast data. a b c d VISUALIZA...

a b c d e f Bhavita Patel , Dilip Taviad , Brahmareddy Malapati , Ruchi Gokani ,Nadeem Shaikh , Rita Shah a,c Research Scholar, Dept. of Biochemistry, S.B.K.S MI & RC, Sumandeep Vidyapeeth, Piparia, Gujarat, India. b Tutor, Dept of Pathology, Govt. Medical College, Vadodara, Gujarat, India d,e Resident, Dept. of Biochemistry, S.B.K.S MI & RC, Sumandeep Vidyapeeth, Piparia, Gujarat, India. f Pro...

The main result of this paper is the derivation of the probability density function of the cross ratio k a b c d c a d b d a c b when the numbers a, b, c and d are independent stochastic variables with identical rectangular distribution. The probability density function of the cross ratio is needed to study the effectiveness of invariant based recognition systems. A short background into invari...

These notes supplement the discussion of linear fractional mappings presented in a beginning graduate course in complex analysis. The goal is to prove that a mapping of the Riemann sphere to itself is a rotation if and only if the corresponding map induced on the plane by stereographic projection is a linear fractional whose (two-by-two) coefficient matrix is unitary. 1. Spheres, points, and su...

The automorphic representation associated to an eigenform will be described, as well as its local factors at the places of F. The statement that the local factor of the automorphic representation determines the local Galois representation (after F-semisimplification) will be explained, and an explicit description will be given in at least the case of a principal series local representation. The...

Let X ⊂ R d be a set of n points in general position (i.e. no d + 1 points of X lie on the same hyperplane.) For a positive 0 < ε < 1, we define A finite set S ⊂ R d is called a (weak) ε-net of X if S ∩ F = ∅ for any F ∈ F ε. We note that S is called a strong ε-net if, in addition, it also satisfies S ⊂ X. Since we are only going to discuss weak ε-nets, we will simply call these ε-nets. Our goa...

We investigate the one-dimensional(1D) d-p model, simulating a Cu-O linear chain with strong Coulomb repulsion, by using the numerical diagonalization method. Using the Luttinger liquid theory, we obtained phase diagrams of the ground state on U d − U pd plane, where U d and U pd represent on-site interaction at d-sites and the nearest-neighbor interaction between p-and d-sites respectively. In...

d A c i d a i r o ( g h d 2 c d g BSTRACT t is the position of the American Dieetic Association (ADA), School Nutriion Association (SNA), and Society for utrition Education (SNE) that comrehensive, integrated nutrition serices in schools, kindergarten through rade 12, are an essential component of oordinated school health programs nd will improve the nutritional status, ealth, and academic perf...