scholarly journals Simple necessary conditions for Hadamard factorizability of Hurwitz polynomials

2021 ◽  
Vol 37 ◽  
pp. 671-679
Author(s):  
Stanisław Białas ◽  
Michał Góra
Keyword(s):  
Necessary Conditions ◽  
Necessary Condition ◽  
Factorization Problem ◽  
Stable Polynomials ◽  
Hurwitz Polynomials

In this paper, we focus the attention on the Hadamard factorization problem for Hurwitz polynomials. We give a new necessary condition for Hadamard factorizability of Hurwitz stable polynomials of degree $n\geq 4$ and show that for $n= 4$ this condition is also sufficient. The effectiveness of the result is illustrated during construction of examples of stable polynomials that are not Hadamard factorizable.

Certain Fourier Transforms of Distributions: II

1954 ◽  
Vol 6 ◽  
pp. 186-189 ◽  
Author(s):  
Eugene Lukacs ◽  
Otto Szász
Keyword(s):  
Characteristic Function ◽  
Fourier Transforms ◽  
Necessary Conditions ◽  
Laplace Transforms ◽  
Characteristic Functions ◽  
Necessary Condition ◽  
Multiple Roots ◽  
Not Given ◽  
Class Of Functions

In an earlier paper (1), published in this journal, a necessary condition was given which the reciprocal of a polynomial without multiple roots must satisfy in order to be a characteristic function. This condition is, however, valid for a wider class of functions since it can be shown (2, theorem 2 and corollary to theorem 3) that it holds for all analytic characteristic functions. The proof given in (1) is elementary and has some methodological interest since it avoids the use of theorems on singularities of Laplace transforms. Moreover the method used in (1) yields some additional necessary conditions which were not given in (1) and which do not seem to follow easily from the properties of analytic characteristic functions.

Eccentricity in irregular multistory buildings

1986 ◽  
Vol 13 (1) ◽  
pp. 46-52 ◽  
Author(s):  
V. W.-T. Cheung ◽  
W. K. Tso
Keyword(s):  
Dynamic Analysis ◽  
Necessary Conditions ◽  
Vertical Axis ◽  
Building Code ◽  
Necessary Condition ◽  
Practical Procedure ◽  
Multistory Buildings ◽  
Plane Frame ◽  
Code Procedure ◽  
Code Provisions

To evaluate the seismic torsional effect on multistory buildings, the concept of eccentricity is extended from single-story buildings to multistory buildings by defining the locations of the centers of rigidity at each floor. A practical procedure to locate the centers of rigidity and hence floor eccentricity is introduced. This procedure depends on the use of plane frame computer programs only and is suitable for use in design offices. The seismic torsional provisions in the National Building Code of Canada 1985 (NBCC 1985) explicitly emphasize that the code provisions apply to buildings where the centres of rigidity lie on a vertical axis only. By means of examples, it verifies the claim of NBCC 1985. Also, it shows that, for buildings with centers of rigidity scattered from a vertical axis, the code procedure may or may not apply. Therefore, one should interpret the condition of centers of rigidity located along a vertical axis to be a sufficient, but not a necessary, condition for the NBCC 85 code provisions to be applicable. Until the necessary conditions are known, dynamic analysis remains the most reliable method to assign the torsional effects to various portions of the building. Key words: building code, center of rigidity, dynamic analysis, eccentricity, irregular, multistory, seismic, torsion.

scholarly journals Syarat Perlu dan Cukup untuk Keterbatasan Potensial Riesz di Ruang Morrey Klasik

2013 ◽  
Vol 14 (3) ◽  
pp. 227
Author(s):  
Mohammad Imam Utoyo ◽  
Basuki Widodo ◽  
Toto Nusantara ◽  
Suhariningsih Suhariningsih
Keyword(s):  
Characteristic Function ◽  
Morrey Space ◽  
Necessary Conditions ◽  
Riesz Potential ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Research Results ◽  
Necessary And Sufficient

This script was aimed to determine the necessary conditions for boundedness of Riesz potential in the classical Morrey space. If these results are combined with previous research results will be obtained the necessary and sufficient condition for boundedness of Riesz potential. This necessary condition is obtained through the use of characteristic function as one member of the classical Morrey space.

scholarly journals PEMENUHAN ELEMEN NECESSARY CONDITIONS KECAMATAN DALAM PENYELENGGARAAN PEMERINTAHAN UMUM DI KABUPATEN PANDEGLANG

2020 ◽  
Vol 4 (2) ◽  
pp. 129-146
Author(s):  
Arif Nugroho ◽  
Delly Maulana
Keyword(s):  
Government Regulation ◽  
Necessary Conditions ◽  
Transitional Period ◽  
Necessary Condition ◽  
Research Approach ◽  
Regional Government ◽  
National Unity ◽  
General Government ◽  
The Government ◽  
Technical Basis

 Artikel ini mengulas Pemenuhan Elemen Necessary Conditions Kecamatan dalam penyelenggaraan pemerintahan umum baik secara nasional dan spesifik diperdalam dengan fakta empiris di Kabupaten Pandeglang, hal itu sebagai konsekuansi dari pelaksanaan Undang – Undang Nomor 23 Tahun 2014. Penelitian dilakukan dengan menggunakan pendekatan kualitatif. Hasil penelitian diketahui, penyelenggaraan pemerintahan umum Kecamatan baik fakta secara nasional serta pendalaman fakta empiris di Kabupaten Pandeglang menunjukan belum cukup tertopang oleh elemen necessary condition diantaranya kepastian atas kewenangan legalnya serta anggaran yang menyertainya. Oleh sebab itu dipandang perlu ada kemauan politik baik itu dari Presiden untuk segera mengundangkan Peraturan – Pemerintah sebagai landasan teknis bagi pemerintah daerah selaku kepala wilayah maupun dari Kepala Daerah Kabupaten/Kota untuk melakukan terobosan agar supaya di masa peralihan implementasi Undang – Undang Nomor 23 Tahun 2014 kewenangan – kewenangan pada bidang kesatuan bangsa, keamanan dan keteriban umum dapat dilimpahkan pada Kecamatan serta Elemen Necessary Conditions lain yang menyertainya diperkuat.     This article discusses the fulfillment of the elements of the sub-district's necessary conditions in the administration of general government both nationally and specifically and deepened by empirical facts in Pandeglang Regency, this is a consequence of the implementation of Law Number 23 of 2014. The research approach used is qualitative. The results showed that in the administration of district general government both the facts nationally and the deepening of empirical facts in Pandeglang district were not sufficiently supported by elements of necessary conditions, including certainty of legal authority and budget. Therefore, there needs to be political will, both from the president, to immediately ratify the Government Regulation as a technical basis for the regional government (Territory) as well as from the Head of Regency / City to make breakthroughs so that in the transitional period the implementation of Law Number 23 Year 2014 powers in the areas of national unity, security and public order can be transferred to the District and the accompanying elements of necessary conditions are strengthened.

Necessary Conditions for Multistationarity and Stable Periodicity

1998 ◽  
Vol 06 (01) ◽  
pp. 3-9 ◽  
Author(s):  
El Houssine Snoussi
Keyword(s):  
Differential System ◽  
Jacobian Matrix ◽  
Necessary Conditions ◽  
Formal Proof ◽  
Necessary Condition ◽  
Constant Sign ◽  
Interaction Graph ◽  
Partial Derivatives

We show in this paper that, for a differential system defined by a quasi-monotonous function f (with constant sign partial derivatives) the existence of a positive loop in the interaction graph associated to the Jacobian matrix of f is a necessary condition for multistationarity, and the existence of a negative loop comprising at least two elements is a necessary condition for stable periodicity. This gives a formal proof of R.Thomas's conjectures.

Optimal Trajectories and the Accessory Minimum Problem

1965 ◽  
Vol 16 (3) ◽  
pp. 205-220 ◽  
Author(s):  
D. J. Bell
Keyword(s):  
Necessary Conditions ◽  
Sounding Rocket ◽  
Necessary Condition ◽  
Minimum Problem ◽  
Multiplier Rule ◽  
Variation Of A Function ◽  
Accessory Minimum Problem ◽  
The First Variation ◽  
The Second Variation

SummaryThe necessary conditions of Clebsch and Weierstrass and of the multiplier rule in the calculus of variations, which arise from the study of the first variation of a function, are summarised. A further necessary condition associated with the second variation is stated. The latter condition is applied to two problems: (i) the determination of the thrust-time programme which maximises the altitude of a sounding rocket, (ii) the determination of the thrust direction programme for a rocket with a known propellant expenditure programme which yields a maximum range. In both problems it is found that the additional necessary condition is satisfied.

On the Elusiveness of ββ0ν Decay

1998 ◽  
Vol 07 (03) ◽  
pp. 405-418
Author(s):  
Tsan Ung Chan
Keyword(s):  
Neutral Particle ◽  
Necessary Conditions ◽  
Lepton Number ◽  
Necessary Condition ◽  
Experimental Fact ◽  
Neutral Particles ◽  
Zero Mass ◽  
Number Conservation

To date, no evidence of ββ0ν decay has been found despite tremendous experimental efforts. In contrast, ββ2ν decay has been clearly and definitely observed in several nuclei. These experimental facts question the reality of ββ0ν decay. This ββ0ν decay which violates lepton number conservation can only occur if the neutrino is massive and is its own antiparticle or in other words is a truly neutral particle. The observation of this decay implies then that the neutrino is a truly neutral particle and it has a non-zero mass. But the absence of ββ0ν decay implies only that at least one of the two necessary conditions is not fulfilled. Since the truly neutral character of neutrino is a necessary condition, it is important to provide objective criteria of truly neutral particles. We propose a generalized Gell-Mann and Nishijima formula which provides naturally the criteria of truly neutral particles. According to these criteria n and ν are different from their antiparticles for symmetric reason. The absence of ββ0ν decay could then be simply understood. Indeed a truly neutral particle could be more generally defined as a neutral particle with respect to all charges and is its own antiparticle. The Dirac character of the neutrino does not contradict any experimental fact.

Necessary conditions for Hadamard factorizations of Hurwitz polynomials

Automatica ◽  
2011 ◽  
Vol 47 (7) ◽  
pp. 1409-1413 ◽  
Author(s):  
Carlos Arturo Loredo-Villalobos ◽  
Baltazar Aguirre-Hernández
Keyword(s):  
Necessary Conditions ◽  
Hurwitz Polynomials

scholarly journals Engaging visitors of science festivals using augmented reality: asymmetrical modelling

2020 ◽  
Vol 32 (2) ◽  
pp. 769-796 ◽  
Author(s):  
Hossein Olya ◽  
Timothy Hyungsoo Jung ◽  
Mandy Claudia Tom Dieck ◽  
Kisang Ryu
Keyword(s):  
Augmented Reality ◽  
Empirical Study ◽  
Necessary Conditions ◽  
Qualitative Comparative Analysis ◽  
Configuration Model ◽  
Necessary Condition ◽  
Experience Economy ◽  
Content Type ◽  
Visitor Satisfaction ◽  
The Uk

Purpose This paper aims to explore a complex combination of four realms of the experience economy in formulating memories and satisfaction among festival visitors by using augmented reality (AR), thus engaging visitors in the physical science experience. This study also identifies necessary conditions to achieve desired responses from visitors. Design/methodology/approach Asymmetrical modelling with fuzzy set qualitative comparative analysis (fsQCA) was used to investigate causal recipes of two configurations of the experience economy and evaluation of experience leading to both high and low scores from visitor engagement. Necessary condition analysis was applied to examine necessary predictors in visitor engagement. The proposed configuration model was tested by using data obtained from visitors to science festivals in the UK. Findings Five causal recipes explained the complex conditions in which visitors were more likely engaged in AR. Aesthetics, education, entertainment and satisfaction were necessary for high engagement among festival visitors. Research limitations/implications The results from fsQCA and analyses of necessary conditions help festival organizers improve visitor satisfaction and engagement in a memorable AR experience. Originality/value This empirical study deepens current festival understanding of how visitors experience AR by exploring combinations of complex configurations of the experience economy and evaluations of visitor experience based on memories and satisfaction. Unlike symmetrical approaches, asymmetrical modelling by using fsQCA can explore recipes for both high and low scores of visitor satisfaction and engagement. This is the first empirical study investigating necessary predictors of festival visitor behaviour.

Flexible Regression

1988 ◽  
Vol 25 (1) ◽  
pp. 10-24 ◽  
Author(s):  
Roland T. Rust
Keyword(s):  
Multiple Regression ◽  
Density Estimation ◽  
Necessary Conditions ◽  
Asymptotic Properties ◽  
Significance Test ◽  
Nonparametric Density Estimation ◽  
New Method ◽  
Necessary Condition ◽  
Significance Tests ◽  
Standard Regression

Marketing researchers who want to do multiple regression often have data in which some of the standard regression assumptions are violated. Flexible regression is a new method for performing a nonparametric multiple regression while relaxing several of the standard assumptions of regression. In particular the assumptions of linearity, normal errors, and homoskedasticity are relaxed. The approach is based on nonparametric density estimation, which results in a more synergistic and less parametrically constrained method of analysis. Asymptotic properties of estimators are explored and necessary conditions are established for the rejection of significance tests that correspond to the major tests of regression. In addition, a necessary condition for rejection of a significance test is provided to determine whether or not to use flexible regression instead of conventional multiple regression. The advantages of the method are illustrated with several examples.

Sign in / Sign up

Export Citation Format

Share Document