Shiraishi functor and non-Kerov deformation of Macdonald polynomials

We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function. Moreover, this generalization is valid for the entire Shiraishi series, not only for its Noumi–Shiraishi part. The theta function needed in the recently suggested description of the double-elliptic systems [Awata et al. JHEP 2020:150, arXiv:2005.10563, (2020)], 6d N = 2* SYM instanton calculus and the doubly-compactified network models, is a very particular member of this huge family. The series depends on two kinds of variables, $$\vec {x}$$ x → and $$\vec {y}$$ y → , and on a set of parameters, which becomes infinitely large now. Still, one of the parameters, p is distinguished by its role in the series grading. When $$\vec {y}$$ y → are restricted to a discrete subset labeled by Young diagrams, the series multiplied by a monomial factor reduces to a polynomial at any given order in p. All this makes the map from functions to the hypergeometric-like series very promising, and we call it Shiraishi functor despite it remains to be seen, what are exactly the morphisms that it preserves. Generalized Noumi–Shiraishi (GNS) symmetric polynomials inspired by the Shiraishi functor in the leading order in p can be obtained by a triangular transform from the Schur polynomials and possess an interesting grading. They provide a family of deformations of Macdonald polynomials, as rich as the family of Kerov functions, still very different from them, and, in fact, much closer to the Macdonald polynomials. In particular, unlike the Kerov case, these polynomials do not depend on the ordering of Young diagrams in the triangular expansion.

THE INFLUENCE OF MINIMUM INVESTMENT CAPITAL, RISK PERCEPTION OF STUDENTS INVESTMENT IN INDONESIA CAPITAL MARKET

This study aims to assess the minimum investment capital to start investing, and minimize the risk of loss and business instinct to analyze what effects are good to buy and of course it will be profitable in investing in the capital market. The approach used in this research is quantitative explanative research. In this study, there are two kinds of variables used, namely the dependent variable and the independent variable. The dependent variable used for this study is student investment interest in the capital market, while the independent variable used in this study consists of minimum investment capital (X1), and risk perception (X2). The data collection technique in this study is to use primary data, namely a questionnaire (questionnaire). The analytical method used in this study is to use multiple linear regression analysis using calculations through SPSS version 20. The results show that there is a positive and significant effect of minimal investment capital and risk perception on student investment interest simultaneously at the Faculty of Economics, University of Muhammadiyah Ponorogo. The contribution of these two variables contributed 44.3% and the remaining 55.7% was influenced by other variables not examined in the study. Keywords: Minimum Investment Capital, Risk Perception, and Investment Interest

Two Kinds of Finite Element Variables Based on B-Spline Wavelet on Interval for Curved Beam

Curved beam structure has been widely used in engineering, due to its good load-bearing and geometric characteristics. More common methods for analyzing and designing this structure are the finite element methods (FEMs), but these methods have many disadvantages. Fortunately, the multivariable wavelet FEMs can solve these drawbacks. However, the multivariable generalized potential energy functional of curved beam, used to construct this element, has not been given in previous literature. In this paper, the generalized potential energy functional for curved beam with two kinds of variables is derived initially. On this basis, the B-spline wavelet on the interval (BSWI) is used as the interpolation function to construct the wavelet curved beam element with two kinds of variables. In the end, several typical numerical examples of thin to thick curved beams are given, which show that the present element is more effective in static and free vibration analysis of curved beam structures.

Metode Mitigasi Longsorlahan di Kecamatan Gumelar Kabupaten Banyumas Provinsi Jawa Tengah

This research aims to find formulating to mitigation of dangser of landslide, by observe on the classes of landslise dangser, the risk of landslide and the landslide disaster. The method used in the research is survey with two kinds of variables, the dependent variable includes the classes of dangser and the classes risk for the landslide, and the independent variable is the effart of mitigation. The classes of dangser and risk for the landslide are obfained from the secondary data, white the efforts of mitigation for the landslide are determined in accordance with the classes of landslide danser and risk landslide by considery the supporting factors. The result of the research shows that the field studied is the area with high risk of landslide. The dominant factors for the risk are the type of litology, and the weatering. The classes of landslide risk ranges from the low to the high. Hence, the efforts of mitigation should be tayseted first to those areas with the high risk of landslide. The efforts of mitigation to put into practive should consider. The dominant factors in the area, its can be underfaken by desighing a priovity, based on its terms covering shout ferm, medium term and long term.

Complex Genetic Algorithm for Structure Shape Optimization Design of Mixed Discrete Variables

Discrete complex method is used in genetic algorithm(GA) and a mixed genetic algorithm called complex genetic algorithm(CGA) is formed. The complex method used here increases the quality of species groups, and improves the searching efficiency. The mixed genetic algorithm method is used in the shape optimization for mixed discrete variables. The integration and coding of the shape variables and the cross-section variables in genetic algorithm can not only solve the coupling problem of two kinds of variables, but also avoid the partial optimum solution resulting from the separation of the two kinds of variables. The result of the exemplification indicates that the complex genetic algorithm for structure shape optimization design of mixed discrete variables is effective.

Generalized Quasi-Variational Principles and Application in Nonlinear Non-Conservative Elasto-Dynamics

The generalized quasi-variational principles with two kinds of variables of time initial value problem were established in nonlinear non-conservative elasto-dynamics. Then, the analytic solution of time initial value problem of a typical non-conservative elasto-dynamics was studied by applying the obtained quasi-complementary variational principle.

The Generalized Quasi-Variational Principles of NCS and Its Application in Mechanical Vibration

According to the corresponding relations between generalized forces and generalized displacements, the basic equations of elasto-dynamics in phase space are multiplied by corresponding virtual quantities, integrated and then added algebraically. By considering the character of fellow body and surface forces, the generalized quasi-variational principles of non-conservative systems are established in elasto-dynamics in phase space. By doing inverse Laplace transformation, the convolutional generalized quasi-variational principles of non-conservative systems of elasto-dynamics are established in original space. Applying the generalized quasi-complementary energy principle to the mechanical vibration problem of two kinds of variables, the authors of this paper present a calculation method for solving two kinds of variables simultaneously: the internal force and the displacement of a typical fellow force system.