A New Method for Generating a Function of Two Independent Variables

1957 ◽  
Vol EC-6 (3) ◽  
pp. 167-169 ◽  
Author(s):  
Lazarus G. Polimerou
Keyword(s):  
New Method ◽  
Independent Variables ◽  
Two Independent Variables

Generalizations to several variables of Lagrange's expansion, with applications to stochastic processes

1960 ◽  
Vol 56 (4) ◽  
pp. 367-380 ◽  
Author(s):  
I. J. Good
Keyword(s):  
Stochastic Processes ◽  
Arbitrary Number ◽  
Branching Processes ◽  
Inverse Function ◽  
New Method ◽  
Independent Variables ◽  
Several Variables ◽  
Convenient Form ◽  
Enumeration Problems ◽  
Two Independent Variables

ABSTRACTA generalization to two independent variables of Lagrange's expansion of an inverse function was given by Stieltjes and proved rigorously by Poincaré. A new method of proof is given here that also provides a new and sometimes more convenient form of the generalization. The results are given for an arbitrary number of independent variables. Applications are pointed out to random branching processes, to queues with various types of customers, and to some enumeration problems.

scholarly journals Construction Solutions of PDE in Parametric Form

2009 ◽  
Vol 2009 ◽  
pp. 1-17 ◽  
Author(s):  
Alexandra K. Volosova ◽  
Konstantin Alexandrovich Volosov
Keyword(s):  
Exact Solutions ◽  
Unique Solution ◽  
Wide Class ◽  
New Method ◽  
Parametric Form ◽  
Algebraic Equations ◽  
Independent Variables ◽  
Linear Algebraic Equations ◽  
New Variables ◽  
Two Independent Variables

The new important property of wide class PDE was found solely by K. A. Volosov. We make an arbitrary replacement of variables. In the case of two independent variables , then it always gives the possibility of expressing all PDE second and more order as . This is a linear algebraic equations system with regards derivatives to old variables , on new variables . This system has the unique solution. In the case of three and more independent variables then it gives the possibility of expressing PDE second order as , if we do same compliment proposes. In the present paper, we suggest a new method for constructing closed formulas for exact solutions of PDE, then support on this important new property.

New generalized 2D Ostrowski type inequalities on time scales with k2 points using a parameter

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3155-3169 ◽  
Author(s):  
Seth Kermausuor ◽  
Eze Nwaeze
Keyword(s):  
Numerical Analysis ◽  
Time Scales ◽  
Type Inequality ◽  
Dimensional Case ◽  
Multiple Points ◽  
Quantum Calculus ◽  
Independent Variables ◽  
Ostrowski Type Inequality ◽  
Two Independent Variables

Recently, a new Ostrowski type inequality on time scales for k points was proved in [G. Xu, Z. B. Fang: A Generalization of Ostrowski type inequality on time scales with k points. Journal of Mathematical Inequalities (2017), 11(1):41-48]. In this article, we extend this result to the 2-dimensional case. Besides extension, our results also generalize the three main results of Meng and Feng in the paper [Generalized Ostrowski type inequalities for multiple points on time scales involving functions of two independent variables. Journal of Inequalities and Applications (2012), 2012:74]. In addition, we apply some of our theorems to the continuous, discrete, and quantum calculus to obtain more interesting results in this direction. We hope that results obtained in this paper would find their place in approximation and numerical analysis.

Explaining Peaceful Change in Central and Eastern Europe

2020 ◽  
Author(s):  
Alexander Tabachnik ◽  
Benjamin Miller
Keyword(s):  
Eastern Europe ◽  
Central And Eastern Europe ◽  
State Capacity ◽  
The State ◽  
National Identities ◽  
Great Power ◽  
Soviet System ◽  
The Balkans ◽  
Independent Variables ◽  
Two Independent Variables

This chapter explains the process of peaceful change in Central and Eastern Europe following the demise of the Soviet system. It also explains the failure of peaceful change in the Balkans and some post-Soviet countries, such as the Ukrainian conflict in 2014. The chapter accounts for the conditions for peaceful change and for the variation between peaceful and violent change by the state-to-nation theory. The two independent variables suggested by the theory are the level of state capacity and congruence—namely the compatibility between state borders and the national identities of the countries at stake. Moreover, according to the theory, great-power engagement serves as an intervening variable and in some conditions, as explained in the chapter, may help with peaceful change.

scholarly journals New dynamic Hilbert-type inequalities in two independent variables involving Fenchel–Legendre transform

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
A. A. El-Deeb ◽  
Saima Rashid ◽  
Zareen A. Khan ◽  
S. D. Makharesh
Keyword(s):  
Time Scales ◽  
Legendre Transform ◽  
Independent Variables ◽  
Hilbert Type ◽  
Two Independent Variables ◽  
New Inequalities

AbstractIn this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel–Legendre transform. We also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as particular cases. Our results give more general forms of several previously established inequalities.

Online viewers’ choices over advertisement number and duration

2020 ◽  
Vol 14 (2) ◽  
pp. 215-238
Author(s):  
Stephen Nettelhorst ◽  
Laura Brannon ◽  
Angela Rose ◽  
Whitney Whitaker
Keyword(s):  
Exposure Time ◽  
Design Methodology ◽  
Persuasive Messages ◽  
Content Type ◽  
Independent Variables ◽  
Research Designs ◽  
Total Exposure Time ◽  
Online Simulations ◽  
Independent Variable ◽  
Two Independent Variables

Purpose The purpose of this study is to investigate online viewers’ preferences concerning the number and duration of video advertisements to watch during commercial breaks. The goal of the investigations was to assess whether online viewers preferred watching a fewer number of advertisements with longer durations or a greater number of advertisements with shorter durations. Design/methodology/approach Two studies used experimental research designs to assess viewers’ preferences regarding advertisements. These designs used two independent variables and one dependent variable. The first independent variable manipulated the type of choice options given to online viewers (e.g. one 60 s or two 30 s advertisements). The second independent variable manipulated when the choice was given to online viewers (i.e. at the beginning of the viewing experience or in the middle of the experience). The dependent variable measured viewers’ choices concerning their preferred advertisement option. Findings The results across both studies found that participants made choices that minimized total advertisement exposure time when possible. When minimizing total exposure time was not possible, participants made choices that minimized the number of exposures instead. Originality/value These investigations extend the literature on advertisement choice by examining online viewers’ preferences about the format of their advertising experience rather than the content of the persuasive messages themselves. In addition, these investigations provide value by investigating viewers’ responses to stimuli within realistic online simulations rather than abstract hypotheticals.

Institutional Misconducts and Anxiety Levels Among Jailed Inmates

1980 ◽  
Vol 7 (2) ◽  
pp. 203-214 ◽  
Author(s):  
James L. Bonta ◽  
Geoff Nanckivell
Keyword(s):  
Anxiety Level ◽  
Demographic Differences ◽  
Independent Variables ◽  
History Of ◽  
Anxiety Levels ◽  
Two Independent Variables

The present investigation reports upon various aspects of incarceration within a jail setting. In the first study, variables that were associated with the occurrence of institutional misconducts were documented by comparing a group of inmates committing misconducts with inmates having no history of misconducts. A number of personal and demographic differences were observed between the groups, but no relationship between crowding and the occurrence of a misconduct was found. The second study investigated the effect of incarceration and sentencing upon the inmates' anxiety level. Sixty-one inmates formed four groups varying on two independent variables: pretest and sentence. Significant effects due to incarceration and sentencing were absent.

Individualism and Collectivism: What Differences between Portuguese and Romanian Adolescents?

2009 ◽  
Vol 12 (2) ◽  
pp. 555-564 ◽  
Author(s):  
Laura Ciochinã ◽  
Luísa Faria
Keyword(s):  
Cultural Context ◽  
Cultural Factors ◽  
Educational Systems ◽  
Cultural Dimension ◽  
Cultural Contexts ◽  
Independent Variables ◽  
Anonymous Questionnaire ◽  
Confirmatory Factor ◽  
Individualism And Collectivism ◽  
Two Independent Variables

This article presents the results of a series of preliminary comparisons, between the Portuguese and Romanian cultural contexts, on the individualism-collectivism (IND/COL) cultural dimension. The IND/COL was evaluated with the Individualism-Collectivism Questionnaire – ICQ –, constructed in New Zealand by Shulruf, Hattie and Dixon (2003, Anonymous Questionnaire of Self-Attitudes –AQSA), and adapted to the Portuguese and Romanian contexts by Ciochină and Faria (2007), using studies of confirmatory factor analysis. The ICQ composed by 26 items, 15 evaluating the IND scale– with three subscales (Uniqueness, Competition and Responsibility) –, and 11 evaluating the COL scale – with two subscales (Harmony and Advice) –, was administered to 395 subjects, 200 Portuguese and 195 Romanian, 10th and 12th graders. On the whole, in the Portuguese and Romanian samples, the multivariate and univariate statistical analyses evidenced the existence of two independent variables – gender and cultural context –, with significant effects, main and of interaction, on the scales and subscales of the ICQ. The results were discussed taking into consideration the specificities of the educational systems in the two cultural contexts, which are inevitably shaped by socio-cultural factors characteristic of the two countries considered in the present study – Portugal and Romania.

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