scholarly journals The Role of Sister Cities’ Staff Exchanges in Developing “Learning Cities”: Exploring Necessary and Sufficient Conditions in Social Capital Development Utilizing Proportional Odds Modeling

2015 ◽  
Vol 12 (7) ◽  
pp. 7133-7153 ◽  
Author(s):  
Patrick Buckley ◽  
Akio Takahashi ◽  
Amy Anderson
Keyword(s):  
Social Capital ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Proportional Odds ◽  
Capital Development ◽  
Necessary And Sufficient ◽  
Sister Cities ◽  
Learning Cities

Rado's theorem for polymatroids

1975 ◽  
Vol 78 (2) ◽  
pp. 263-281 ◽  
Author(s):  
Colin J. H. McDiarmid
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Rank Function ◽  
Fundamental Importance ◽  
Matroid Theory ◽  
Continuous Analogue ◽  
Finite Set ◽  
Necessary And Sufficient ◽  
Transversal Theory

The theorem of R. Rado (12) to which I refer by the name ‘Rado's theorem for matroids’ gives necessary and sufficient conditions for a family of subsets of a finite set Y to have a transversal independent in a given matroid on Y. This theorem is of fundamental importance in both transversal theory and matroid theory (see, for example, (11)). In (3) J. Edmonds introduced and studied ‘polymatroids’ as a sort of continuous analogue of a matroid. I start this paper with a brief introduction to polymatroids, emphasizing the role of the ‘ground-set rank function’. The main result is an analogue for polymatroids of Rado's theorem for matroids, which I call not unnaturally ‘Rado's theorem for polymatroids’.

scholarly journals The Oscillation of a Class of the Fractional-Order Delay Differential Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Qianli Lu ◽  
Feng Cen
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Delay Differential Equations ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Analysis Method ◽  
Constant Coefficients ◽  
Delay Differential ◽  
Necessary And Sufficient

Several oscillation results are proposed including necessary and sufficient conditions for the oscillation of fractional-order delay differential equations with constant coefficients, the sufficient or necessary and sufficient conditions for the oscillation of fractional-order delay differential equations by analysis method, and the sufficient or necessary and sufficient conditions for the oscillation of delay partial differential equation with three different boundary conditions. For this,α-exponential function which is a kind of functions that play the same role of the classical exponential functions of fractional-order derivatives is used.

SPROUSE'S WHAT-YOU-MAY-CALL-ITS: FUNDAMENTAL INSIGHT OR MONUMENTAL MISTAKE?

2010 ◽  
Vol 37 (1) ◽  
pp. 121-148 ◽  
Author(s):  
Sudipta Basu ◽  
Gregory B. Waymire
Keyword(s):  
Balance Sheet ◽  
Security Analysis ◽  
Financial Analysts ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Primary Role ◽  
Accounting Systems ◽  
Fundamental Insight ◽  
Necessary And Sufficient

We critically evaluate Sprouse's 1966 Journal of Accountancy article, which prodded the FASB towards a balance-sheet approach. We highlight three errors in this article. First, Sprouse confuses necessary and sufficient conditions by arguing that good accounting systems must satisfy the balance-sheet equation. Second, Sprouse's insinuation that financial analysts rely on balance-sheet analysis is contradicted by contemporary and current security-analysis textbooks, analysts' written reports, and interviews with analysts. Third, and most crucially, Sprouse does not recognize that the primary role of accounting systems is to help managers discover and exploit profitable exchange opportunities, without which firms cannot survive.

scholarly journals Extensions of orthomorphisms

1980 ◽  
Vol 29 (1) ◽  
pp. 87-98 ◽  
Author(s):  
A. W. Wickstead
Keyword(s):  
Sufficient Conditions ◽  
Riesz Space ◽  
Necessary And Sufficient Conditions ◽  
Linear Operators ◽  
Sufficient Condition ◽  
Necessary And Sufficient

AbstractWe consider, on an Archimedean Riesz space, the spaces of all linear operators lying between two multiples of the identity (for the order), those leaving all ideals invariant and the order bounded orthomorphisms. We find, if E is uniformly complete, necessary and sufficient conditions for all such operators defined on sublattices of E to extend to the whole of E. Examples are given to show the role of uniform completeness. For the space of all orthomorphisms we give a sufficient condition on E for such an extension to exist.

scholarly journals Oscillation of a class of differential equations with generalized phi-Laplacian

2013 ◽  
Vol 143 (3) ◽  
pp. 493-506 ◽  
Author(s):  
Mariella Cecchi ◽  
Zuzana Došlá ◽  
Mauro Marini
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Nonlinear Differential Equation ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Integral Type ◽  
Image Position ◽  
Necessary And Sufficient

The oscillation of the nonlinear differential equationwhere Φ is an increasing odd homeomorphism, is considered when the weight b is not summable near infinity. We extend previous results, stated for equations with the classical p-Laplacian, by obtaining necessary and sufficient conditions of integral type for the oscillation. The role of the boundedness of Im Φ [Dom Φ] is analysed in detail. Our results includes the case Φ* ◦ F linear near zero or near infinity, where Φ* is the inverse of Φ. Several examples, concerning the curvature or relativity operator, illustrate our results.

ARTICLE 23 OF THE BRUSSELS I REGULATION: A COMPREHENSIVE CODE FOR JURISDICTION AGREEMENTS?

2009 ◽  
Vol 58 (3) ◽  
pp. 545-564 ◽  
Author(s):  
Louise Merrett
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Exclusive Jurisdiction ◽  
Necessary And Sufficient ◽  
Precise Role

AbstractArticle 23 of the Brussels I Regulation gives effect to exclusive jurisdiction agreements and also sets out certain requirements which must be satisfied in relation to such agreements. The precise role of these formality requirements, however, remains controversial. In particular, the extent to which Article 23 itself sets out an exclusive and comprehensive code is unclear. The purpose of this article is to argue that the requirements of Article 23 are both necessary and sufficient conditions for the material validity of jurisdiction agreements in Brussels I Regulation cases.

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

Nonlinear boundary-value problems for degenerate differential-algebraic systems

2020 ◽  
Vol 17 (3) ◽  
pp. 313-324
Author(s):  
Sergii Chuiko ◽  
Ol'ga Nesmelova
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Algebraic System ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Weakly Nonlinear ◽  
Differential Algebraic System ◽  
Linear Differential ◽  
Necessary And Sufficient

The study of the differential-algebraic boundary value problems, traditional for the Kiev school of nonlinear oscillations, founded by academicians M.M. Krylov, M.M. Bogolyubov, Yu.A. Mitropolsky and A.M. Samoilenko. It was founded in the 19th century in the works of G. Kirchhoff and K. Weierstrass and developed in the 20th century by M.M. Luzin, F.R. Gantmacher, A.M. Tikhonov, A. Rutkas, Yu.D. Shlapac, S.L. Campbell, L.R. Petzold, Yu.E. Boyarintsev, V.F. Chistyakov, A.M. Samoilenko, O.A. Boichuk, V.P. Yacovets, C.W. Gear and others. In the works of S.L. Campbell, L.R. Petzold, Yu.E. Boyarintsev, V.F. Chistyakov, A.M. Samoilenko and V.P. Yakovets were obtained sufficient conditions for the reducibility of the linear differential-algebraic system to the central canonical form and the structure of the general solution of the degenerate linear system was obtained. Assuming that the conditions for the reducibility of the linear differential-algebraic system to the central canonical form were satisfied, O.A.~Boichuk obtained the necessary and sufficient conditions for the solvability of the linear Noetherian differential-algebraic boundary value problem and constructed a generalized Green operator of this problem. Based on this, later O.A. Boichuk and O.O. Pokutnyi obtained the necessary and sufficient conditions for the solvability of the weakly nonlinear differential algebraic boundary value problem, the linear part of which is a Noetherian differential algebraic boundary value problem. Thus, out of the scope of the research, the cases of dependence of the desired solution on an arbitrary continuous function were left, which are typical for the linear differential-algebraic system. Our article is devoted to the study of just such a case. The article uses the original necessary and sufficient conditions for the solvability of the linear Noetherian differential-algebraic boundary value problem and the construction of the generalized Green operator of this problem, constructed by S.M. Chuiko. Based on this, necessary and sufficient conditions for the solvability of the weakly nonlinear differential-algebraic boundary value problem were obtained. A typical feature of the obtained necessary and sufficient conditions for the solvability of the linear and weakly nonlinear differential-algebraic boundary-value problem is its dependence on the means of fixing of the arbitrary continuous function. An improved classification and a convergent iterative scheme for finding approximations to the solutions of weakly nonlinear differential algebraic boundary value problems was constructed in the article.

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