Evaluate the performance of companies on the Stock Exchange using non-parametric methods is very important. DEA and DEA-R with the strategies for piecewise linear frontier production function and use of available data, assess the stock company. In this study, using a neural network algorithm DEA and DEA-R is suggested to classify the first companies in the stock exchange; Secondly, using the...

Supersymmetric quantum mechanics is constructed in a new non-Hermitian representation. Firstly, the map between the partner operators H(±) is chosen antilinear. Secondly, both these components of a super-Hamiltonian H are defined along certain topologically nontrivial complex curves r(±)(x) which spread over several Riemann sheets of the wave function. The non-uniqueness of our choice of the ma...

Firstly, the second term v of (4) in [1] is zero-mean complex Gaussian with v∼N c (0, σ 2 v I NM), where σ v = (1/ √ L)σ w. Also, the σ 2 w in (8) should be changed to σ 2 v. Secondly, if we have Q-independent pulses, the Fisher information matrix in (9) should be [2] J(ξ) = Qtr R −1 η (ξ) ∂R η (ξ) ∂ξ R −1 η (ξ) ∂R η (ξ) ∂ξ. (1) The corresponding formulas of CRB in the appendix should be revise...

Bent functions are important cryptographic Boolean functions. In order to enumerate eight-variable bent functions, we solve the following three key problems. Firstly, under the action of AGL(7, 2), we almost completely classify R(4, 7)/R(2, 7). Secondly, we construct all seven-variable plateaued functions from the orbits of R(4, 7)/R(2, 7). Thirdly, we present a fast algorithm to expand plateau...

In this paper, we introduce the diagonal of the modified Riesz distribution defined in 2 , IR  r r . We propose the estimators of different parameters of this new distribution by two method, firstly by the moment method and secondly by the maximum likelihood method. The performance of the both estimators are studied by calculating the Mean Square Error (MSE). KeywordsDiagonal of the modified R...

We develop a theory for filamentary molecular clouds including the effects of ordered magnetic fields, and external pressure. We first derive a new virial equation appropriate for filamentary clouds. By comparing with observational results collected from the literature, we find that the fields are likely helical. Secondly, we construct numerical, MHD models of filamentary clouds that agree with...

R, a dynamic scripting language designed for statistical computing, has grown in popularity in recent years. However, the low performance of R, due to inefficiencies in the interpretation, limits its usability. Our previous study classifies R programs into three types, including Type I (looping over data), Type II (vector programming), and Type III (glue codes). The most serious performance pro...

We consider the break minimization problem for fixing home-away assignments in round-robin sports tournaments. First, we show that for an opponent schedule with n teams and n− 1 rounds, there always exists a home-away assignment with at most 1 4n(n−2) breaks. Secondly, for infinitely many n, we construct opponent schedules for which at least 6n(n−1) breaks are necessary. Finally, we prove that ...

Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on (0,1). Let mst(G) be the expected length of a minimum spanning tree. We show that mst(G) can be estimated quite accurately under two distinct circumstances. Firstly, if r is large and G has a modest edge expansion property then mst(G) ∼ r ζ(3), where ζ(3) = ∑∞ j=1 j −3 ∼ 1.202. Se...

In crisp production inventory problem, let q, a, b, d, R and r be the quantity produced per cycle, the holding cost, production cost, production quantity per day, the total demand quantity and the demand quantity per day, respectively. We consider three fuzzification methods. Firstly, we fuzzify q, a, b, d, R and r to triangular fuzzy numbers. Secondly, we fuzzify d and r to triangular fuzzy nu...