Fundamental Formula

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Ali E. Abbas - One of the best experts on this subject based on the ideXlab platform.

  • Moments of utility functions and their applications
    European Journal of Operational Research, 2007
    Co-Authors: Ali E. Abbas
    Abstract:

    This paper presents moments and cross-moments of utility functions and measures of utility dependence. We start with an interpretation of the nth moment of a utility function, and describe methods for its assessment in practice and consistency checks that need to be satisfied for any assessed moments. We then show how moments of a utility function (i) provide a new method to determine the parameters of a given functional form of a utility function and (ii) to derive the functional form of a utility function that satisfies some given moment assessments. Next, we derive a Fundamental Formula that relates the expected utility of a joint distribution to the expected utility of the marginal distributions for multiattribute utility functions. We use this Formulation to provide an intuitive interpretation for cross-moments of utility functions and illustrate their use in (i) constructing multiattribute utility functions that incorporate utility dependence and (ii) in providing necessary conditions for utility independence in decisions with multiple attributes. We end with a new measure of utility dependence for multiattribute utility functions and work through several examples to illustrate the approach.

  • Decision Support Moments of utility functions and their applications
    2007
    Co-Authors: Ali E. Abbas
    Abstract:

    This paper presents moments and cross-moments of utility functions and measures of utility dependence. We start with an interpretation of the nth moment of a utility function, and describe methods for its assessment in practice and consistency checks that need to be satisfied for any assessed moments. We then show how moments of a utility function (i) provide a new method to determine the parameters of a given functional form of a utility function and (ii) to derive the functional form of a utility function that satisfies some given moment assessments. Next, we derive a Fundamental Formula that relates the expected utility of a joint distribution to the expected utility of the marginal distributions for multiattribute utility functions. We use this Formulation to provide an intuitive interpretation for cross-moments of utility functions and illustrate their use in (i) constructing multiattribute utility functions that incorporate utility dependence and (ii) in providing necessary conditions for utility independence in decisions with multiple attributes. We end with a new measure of utility dependence for multiattribute utility functions and work through several examples to illustrate the approach. � 2006 Elsevier B.V. All rights reserved.

George S. Spais - One of the best experts on this subject based on the ideXlab platform.

  • A Fundamental Formula for Leadership Efficiency - Weighting the Contribution of 'Marketing Paideia'
    Social Science Research Network, 2008
    Co-Authors: George S. Spais
    Abstract:

    Building businesses-leaders is the pathway to increase competitiveness in a micro- and macro-economic level. That is why marketing (a word of ancient Greek origin) and leadership are two linked concepts. So, it seems that there is a highest research priority on how higher levels of marketing productivity can be achieved. A "good" leadership (productive leadership efforts) seems to be expressed from the known Formula of management science. A ratio between: effectiveness (degree of achieving goals) to efficiency (degree of exploitation of entered information). In such frames, the in depth examination of Ancient Sparta's case during the period of king Agesilaos will be proven valuable. Agesilaos, after a long decline period had succeeded to lead Sparta in leadership levels for more than 40 years. The case becomes more interesting, if we consider that Sparta's external environment (the other Greek states-poleis: Athens, Theba, Corinth etc.) was highly competitive, as the nowadays-global economic environment. The aim of the study is to examine if there is a potent relation among leaders' educational background (paideia), their personality traits and their ability to Formulate winning grand strategies for leadership. But it seems that the most important factor is not related leader's personality characteristics but the characteristics of the "mathematically" reengineered "Spartan system". A system designed by Lycurgus, probably the first successful systemic reform process. In continuous, we have conducted an in-depth literature review on the modern empirical evidence from academic journals in marketing, in order to Formulate safe scientific arguments and the Fundamental leadership efficiency Formula. We strongly believe that this conceptual analysis will provide not only valuable findings, but also significantly research implications to the academic community of marketing.

Antonio Nardelli - One of the best experts on this subject based on the ideXlab platform.

Naoto Ishii - One of the best experts on this subject based on the ideXlab platform.

  • A harmonic compensation brushless synchronous condenser using a cascade induction machine
    Electrical Engineering in Japan, 2001
    Co-Authors: Tadashi Fukami, Naoto Ishii
    Abstract:

    In this paper, a new brushless synchronous condenser termed the BSC-Filter is presented. It consists of two wound-rotor induction machines connected in a cascade, and acts not only as a synchronous condenser but also as a passive filter with a capacitor connected to its stator field winding. An equivalent circuit model seen from the sixth harmonic in the field system is illustrated using the method of symmetrical coordinates. Based on this equivalent circuit model, a Fundamental Formula is derived to select the capacitor value properly. The validity of the theoretical analysis is verified through experiments, and basic characteristics of the BSC-Filter are clarified. In addition to phase compensation, this new machine is capable of reducing low-order fifth and seventh harmonics in power lines. © 2001 Scripta Technica, Electr Eng Jpn, 138(2): 71–78, 2002

  • A Harmonic Compensation Brushless Synchronous Condenser Using a Cascade Induction Machine
    IEEJ Transactions on Industry Applications, 2000
    Co-Authors: Tadashi Fukami, Naoto Ishii
    Abstract:

    In this paper, a new brushless synchronous condenser termed the BSC-Filter is presented. It consists of two wound-rotor induction machines connected in a cascade, and acts not only as a synchronous condenser but also as a passive filter with a capacitor connected to its stator field winding. An equivalent circuit model seen from the 6th harmonic in the field system is illustrated using the method of symmetrical coordinates. Based on this equivalent circuit model, a Fundamental Formula is derived to select the capacitor value properly. The validity of the theoretical analysis is verified through experiments, and basic characteristics of the BSC-Filter are clarified. In addition to phase compensation, this new machine is capable of reducing low-order 5th and 7th harmonics in power lines.

Zuo Wei-heng - One of the best experts on this subject based on the ideXlab platform.