A RIESZ-TYPE DEFINITION OF THE DENJOY INTEGRAL

1985 ◽  
Vol 11 (1) ◽  
pp. 221 ◽  
Author(s):  
Yee ◽  
Seng
2021 ◽  
pp. 44-49
Author(s):  
S. I. Dobrydnev ◽  
T. S. Dobrydneva

The article appeals to the problem of designing motivation model for the labor behavior of company stuff. Human behavior is one of the key areas of research in many fields of knowledge. The main forms of human behavior in economics are consumer and labor behavior. For each of them, extensive theoretical and practical material has been developed, a significant variety of behaviors has been proposed. Moreover, in the absence of general models of human behavior that would be applicable in any field of his activity, each science develops its own methodological apparatus and builds models based on its own approaches. Models of consumer behavior describe a clearly defined object (purchasing act), are specific and practically oriented. Patterns of labour behaviour are more general and relate to conduct in general, but not to a specific act of activity. The article attempts to apply the principles of building models of consumer behavior to modeling labor behavior. The model of type “Definition of target actions — Stimulus selection — Information and desire — Choice and location — Check and preference — Confirmation and relation” is proposed. The content of these stages for the task of changing labor behavior is shown. A methodological feature of the model is the isolation of rational and emotional aspects in some elements of labor behavior.


1971 ◽  
Vol 23 (3) ◽  
pp. 557-561 ◽  
Author(s):  
G. E. Cross

In 1955 Taylor [6] constructed an AP-integral sufficiently strong to integrate Abel summable series with coefficients o(n). He showed that the AP-integral includes the special Denjoy integral and further that, when applied to trigonometric series, the AP-integral is more powerful than the SCP-integral of Burkill [1] and the P2-integral of James [3]. The present paper shows that the AP-integral includes the SCP-integral, and, under natural assumptions, the P2-integral.After completing this manuscript I was advised by Skvorcov that he had shown [5] under more general conditions that the P2-integral is included in the AP-integral. The proof in the present paper seems to have some value in its own right and is considerably shorter.Since the definition of the AP-integral is essentially for a function defined in (0, 2π] and elsewhere by 2π-periodicity, we shall consider SCP-integrable and P2-integrable functions defined similarly.


1975 ◽  
Vol 18 (1) ◽  
pp. 7-17 ◽  
Author(s):  
O. S. Bellamy ◽  
H. W. Ellis

In this note our principal interest is in using nets to give spaces of non-absolutely convergent integrals as extensions of the spaces of absolutely convergent Riemann and Lebesgue integrals. For this purpose we develop a general theory of extensions, by nets, of functions defined on the open intervals with closures in the complement of a fixed closed set, the nets being directed by inclusion for finite disjoint collections of such intervals. Two cases are considered leading to open extension (OE-) and conditional open extension (COE-) nets, the latter being subnets of the former. Necessary and sufficient conditions for the convergence of the OE- and COE-nets are given, those for the COE-nets being similar to conditions that arise in the definition of the restricted Denjoy integral. Properties of inner continuity, weak additivity and the existence of a continuous integral are defined and studied. These relate to the more specialized nets that are suitable for the extension of integrals.


Author(s):  
Myrsini Mamoli

AbstractThis paper presents in detail a parametric shape grammar for the generation of ancient Greek and Roman library plans. Ancient Libraries showcase a significant variability of scale, monumentality, and design with the use of different architectural components, and researchers cannot identify them as easily as other building types. The grammar is in 2D and captures all the variability of libraries from the simpler forms of the Hellenistic period to the more monumental of the Roman period, creating a vast range of designs. The paper presents the grammar-generated plans of the known libraries based on the evidence in the archaeological record. A frequency analysis of the occurrence of the rules in the derivations ranks the different characteristics of libraries and the architectural forms with which they occur in the corpus, to determine the probability of specific rules and to interpret them as mandatory or optional. The contribution of this work is that the shape grammar summarizes the design principles of ancient libraries visually and helps establish the building type of the ancient library. The frequency analysis assists tremendously in the reconstruction of fragmentarily preserved ancient libraries by providing a system in the reconstruction of the missing parts, when ambiguity is involved.


Author(s):  
DING CHUAN SONG ◽  
ZHAO QIANG ◽  
LEE PENG YEE

1970 ◽  
Vol 27 (3) ◽  
pp. 887-894 ◽  
Author(s):  
David N. Walker ◽  
Donald L. Mosher

Sociometric ratings by sorority women were used reliably to nominate women who were altruistic and nonaltruistic. Evidence for convergent validity was found through high correlations between sociometric altruism and sociometric friendliness and trust while evidence for discriminate validity was inferred when sociometric altruism was unrelated to sociometric independence and physical attractiveness. The top and bottom 20% of the 207 sorority women were individually interviewed. The women responded to five altruism situations and to questions in 12 areas relevant to altruism. Sociometric altruism was strongly correlated with interview altruism measures. However, the responses of the altruistic women in the interview did not correspond completely to the ideal-type definition of altruism used in the nominating procedure. Rather than being motivated to help another through intrinsic satisfaction experienced when aiding another, the altruistic women appear to be motivated by conceptions of reciprocity and mutuality in friendly interpersonal relations. Less altruistic women are more concerned with a contractual reciprocity.


Sign in / Sign up

Export Citation Format

Share Document