Multiple Solutions: A Key to Strengthening the Generalization Skill in Mathematic-Like Thinking   Z. Rahimi* E. Talaa'ee, Ph.D.** E. Reyhaani, Ph.D.*** H. Fardaanesh, Ph.D.****   Emphasizing multiple solutions can help with the strengthening of the generalization skill. To test this hypothesis, a group of high school students in math and experimental sciences was selected in or...

In the present paper, we introduce some Stancu type generalization of Szász-Mirakyan-Baskakov type operators. We estimate the moments for these operators using the hypergeometric series, which can be related to Laguerre polynomials. We estimate point wise convergence, asymptotic expansion and error estimate in terms of higher order modulus of continuity of function in simultaneous approximation...

A formal definition of position in networks is proposed. Based on the conceptualization of networks as data on intersecting dyads, it leads to integrated means of analysis for various kinds of relational and attribute data and to a simultaneous unification and generalization of a wide range of network-analytic methods. In fact, by defining network positions explicitly, various methods can be br...

In this chapter, a new rotation-invariant generalization of the analytic signal will be presented to analyze intrinsic 1D and 2D local image structures. By combining differential geometry and Clifford analysis, the monogenic curvature tensor can be derived to perform a split of identity and to enable simultaneous estimation of local amplitude, phase, main orientation and angle of intersection i...

[9] H. Nagaoka, \A generalization of the simultaneous diagonalization of hermitian matrices and its relation to quantum estimation theory," Trans. [12] H. Nagaoka, \On the relation Kullback divergence and Fisher information-from classical systems to quantum systems-," (1992)(in Japanese). reconstructuin and detection of quantum coherences on deierent observation levels", From the assumption, fo...

The widespread use of artificial neural networks and the difficult work regarding the correct specification (tuning) of parameters for a given problem are the main aspects that motivated the approach purposed in this paper. This approach employs an evolutionary search to perform the simultaneous tuning of initial weights, transfer functions, architectures and learning rules (learning algorithm ...

The ordered weighted `1 (OWL) norm is a newly developed generalization of the Octogonal Shrinkage and Clustering Algorithm for Regression (OSCAR) norm. This norm has desirable statistical properties and can be used to perform simultaneous clustering and regression. In this paper, we show how to compute the projection of an n-dimensional vector onto the OWL norm ball in O(n log(n)) operations. I...

Multi-adjoint logic programs has been recently introduced [9, 10] as a generalization of monotonic logic programs [2, 3], in that simultaneous use of several implications in the rules and rather general connectives in the bodies are allowed. This paper discusses abductive reasoning—that is, reasoning in which explanatory hypotheses are formed and evaluated. To model uncertainty in human cogniti...

This paper presents a novel method for simultaneous feature selection and classification by incorporating a robust L1-norm into the objective function of Minimax Probability Machine (MPM). A fractional programming framework is derived by using a bound on the misclassification error involving the mean and covariance of the data. Furthermore, the problems are solved by the Quadratic Interpolation...

In this paper a method of internal alignment of HERA-B OTR PC chambers is discussed. The method is based on simultaneous ˇt of the track and alignment parameters using Millepede matrix reduction and singular value decomposition. Software which implements this idea has been developed, the method has been studied on Monte Carlo models with different levels of simulation. A method generalization f...