scholarly journals Truth-table Unoids Satisfying the Urzyczyn's Conditions

2021 ◽  
pp. 59-70
Author(s):  
Дмитрий Ольгердович Дадеркин
Keyword(s):  
Sufficient Conditions ◽  
Truth Table

В работах П. Ужичина [1-3] были предложены достаточные условия табличности уноидов, однако эти алгебраические условия Ужичина трудно проверяемы на практике и не дают возможности строить нетривиальные примеры табличных уноидов. В данной работе вводятся понятия локально-заданных и разделённых уноидов и доказывается, что разделённые уноиды удовлетворяют условиям Ужичина. Таким образом, получены просто проверяемые достаточные условия, при выполнении которых уноид, в том числе и с достаточно сложно заданным связным множеством, является табличным. In the works of P. Urzyczyn [1-3] were suggested sufficient conditions of truth-table property of unoids, however, these algebraic conditions of Urzyczyn are difficult to be checked in practice and leave no possibilities to build non-trivial examples of truth-table unoids. In this work concepts of locally-given and divided unoids are proposed, and it is proved that divided unoids satisfy the conditions of Urzyczyn. Thus, simply verifiable sufficient conditions are achieved, on the basis of which unoid, including with enough complicated specified connected underlying set, is truth-table.

scholarly journals Truth-table Unoids not Satisfying the Urzyczyn's Conditions

2021 ◽  
pp. 33-43
Author(s):  
Дмитрий Ольгердович Дадеркин
Keyword(s):  
Algebraic System ◽  
Sufficient Conditions ◽  
Truth Table

Достаточные условия табличности, одного из важных свойств, характеризующих работу программы в алгебраической системе, были предложены в работах П. Ужичина \cite {U1,U2,U3}. В данной работе описываются такие достаточные условия табличности, которые позволяют строить табличные уноиды,не удовлетворяющие условиям Ужичина. Sufficient conditions of truth-table property, one of the important properties that characterize the work of a program in an algebraic system, were proposed in the works of P. Urzyczyn \cite {U1,U2,U3}. In this work such sufficient conditions of truth-table property are described, that allow constructing truth-table unoids that not satisfy the conditions of Urzyczyn.

Some Contributions to the Theory of Near-Critical Bisexual Branching Processes

2007 ◽  
Vol 44 (02) ◽  
pp. 492-505
Author(s):  
M. Molina ◽  
M. Mota ◽  
A. Ramos
Keyword(s):  
Branching Process ◽  
Branching Processes ◽  
Sufficient Conditions ◽  
Positive Probability ◽  
Limit Laws ◽  
Bisexual Branching Processes ◽  
Probabilistic Evolution

We investigate the probabilistic evolution of a near-critical bisexual branching process with mating depending on the number of couples in the population. We determine sufficient conditions which guarantee either the almost sure extinction of such a process or its survival with positive probability. We also establish some limiting results concerning the sequences of couples, females, and males, suitably normalized. In particular, gamma, normal, and degenerate distributions are proved to be limit laws. The results also hold for bisexual Bienaymé–Galton–Watson processes, and can be adapted to other classes of near-critical bisexual branching processes.

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.

Normal approximations to discrete unimodal distributions

1986 ◽  
Vol 23 (04) ◽  
pp. 1013-1018
Author(s):  
B. G. Quinn ◽  
H. L. MacGillivray
Keyword(s):  
Stationary Distribution ◽  
Sufficient Conditions ◽  
Random Variables ◽  
Hypergeometric Distribution ◽  
Death Process ◽  
Normal Approximations ◽  
Discrete Random Variables ◽  
Birth Death

Sufficient conditions are presented for the limiting normality of sequences of discrete random variables possessing unimodal distributions. The conditions are applied to obtain normal approximations directly for the hypergeometric distribution and the stationary distribution of a special birth-death process.

Budgeting in Socio-economic Development Strategies (Raising a Problem)

2008 ◽  
pp. 134-151
Author(s):  
A. Shastitko ◽  
M. Ovchinnikov
Keyword(s):  
Economic Policy ◽  
Economic Development ◽  
Social Change ◽  
Eastern Europe ◽  
Statistical Data ◽  
Sufficient Conditions ◽  
Transitional Period ◽  
Socio Economic Development ◽  
Necessary And Sufficient ◽  
Economic Development Strategies

The article proposes an approach to the analysis of social change and contributes to the clarification of concepts of economic policy. It deals in particular with the notion of "change of system". The author considers positive and normative aspects of the analysis of capitalist and socialist systems. The necessary and sufficient conditions for the system to be changed are introduced, their fulfillment is discussed drawing upon the historical and statistical data. The article describes both economic and political peculiarities of the transitional period in different countries, especially in Eastern Europe.

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