scholarly journals Dynamic power price problem: An inverse variational inequality approach

2008 ◽  
Vol 4 (4) ◽  
pp. 673-684 ◽  
Author(s):  
Junfeng Yang ◽  
2019 ◽  
Vol 2019 (1) ◽  
pp. 95-98
Author(s):  
Hans Jakob Rivertz

In this paper we give a new method to find a grayscale image from a color image. The idea is that the structure tensors of the grayscale image and the color image should be as equal as possible. This is measured by the energy of the tensor differences. We deduce an Euler-Lagrange equation and a second variational inequality. The second variational inequality is remarkably simple in its form. Our equation does not involve several steps, such as finding a gradient first and then integrating it. We show that if a color image is at least two times continuous differentiable, the resulting grayscale image is not necessarily two times continuous differentiable.


2016 ◽  
Vol 7 (2) ◽  
pp. 138-168
Author(s):  
Andrew Tobolowsky

Scholars are increasingly aware of the dynamic nature of the interaction between the nine-chapter-long genealogy that begins the book of Chronicles and its source material. However, little attention has been paid to the role this interaction might have played in the creation of some key biblical ideas, particularly in the “eponymous imagination” of the tribes as literally the sons of Jacob. Through comparison with scholarly approaches to the pseudo-Hesiodic Catalogue of Women and an investigation into the ramifications for biblical studies of ethnic theory and historical memory on the fluidity of ethnicity and memory over time, this article seeks to reassess the dynamic power of the Chronicles genealogy as an ethnic charter for the elites of Persian Yehud. Focus on the distinctive imagination of Israel in the crucial narratives in the book of Genesis, as compared with narratives elsewhere in the primary history, and the contributions of the Chronicles genealogy to their redefinition, allows us to address the Bible’s dependence upon the lens the Chronicles genealogy imposes upon it.


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