Weierstrass multiple points and ramification points of smooth projective curves

1998 ◽  
Vol 174 (1) ◽  
pp. 241-251
Author(s):  
E. Ballico ◽  
C. Keem ◽  
S. J. Kim
Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3155-3169 ◽  
Author(s):  
Seth Kermausuor ◽  
Eze Nwaeze

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.


Author(s):  
Sarah Parkhouse
Keyword(s):  

The theme of eschatology is not usually identified by exegetes as particularly emphasized in the Gospel of Mary, though it should be. The two primary teachings, the dialogue between the Saviour and his disciples and Mary’s recollection of her vision, are predominantly eschatological in nature, the former being concerned with the earthly realm and the latter the heavenly. The earthly realm is the created cosmos made of ‘matter’, destined for dissolution owing to its inherent instability, whereas the heavenly is the home of the ‘Soul’, the goal of its perilous post-mortem journey past hostile spiritual powers that seek to bar its way. Despite obvious differences with the Olivet Discourse of Matthew 24 and parallels, there are multiple points of convergence with the eschatological teachings within the canonical gospels. Starting from the Gospel of Mary, this chapter explores connections between eschatological thinking on both sides of the canonical boundary.


2021 ◽  
pp. 000313482110111
Author(s):  
Ryan C. Pickens ◽  
Angela M. Kao ◽  
Mark A. Williams ◽  
Andrew C. Herman ◽  
Jeffrey S. Kneisl

Background In response to the COVID-19 pandemic, children’s hospitals across the country postponed elective surgery beginning in March 2020. As projective curves flattened, administrators and surgeons sought to develop strategies to safely resume non-emergent surgery. This article reviews challenges and solutions specific to a children’s hospital related to the resumption of elective pediatric surgeries. We present our tiered reentry approach for pediatric surgery as well as report early data for surgical volume and tracking COVID-19 cases during reentry. Methods The experience of shutdown, protocol development, and early reentry of elective pediatric surgery are reported from Levine’s Children’s Hospital (LCH), a free-leaning children’s hospital in Charlotte, North Carolina. Data reported were obtained from de-identified hospital databases. Results Pediatric surgery experienced a dramatic decrease in case volumes at LCH during the shutdown, variable by specialty. A tiered and balanced reentry strategy was implemented with steady resumption of elective surgery following strict pre-procedural screening and testing. Early outcomes showed a steady thorough fluctuating increase in elective case volumes without evidence of a surgery-associated positive spread through periprocedural tracking. Conclusion Reentry of non-emergent pediatric surgical care requires unique considerations including the impact of COVID-19 on children, each children hospital structure and resources, and preventing undue delay in intervention for age- and disease-specific pediatric conditions. A carefully balanced strategy has been critical for safe reentry following the anticipated surge. Ongoing tracking of resource utilization, operative volumes, and testing results will remain vital as community spread continues to fluctuate across the country.


2015 ◽  
Vol 9 (2) ◽  
pp. 258-283
Author(s):  
Alison Ross

This article defends the thesis that there are multiple points of exchange between the categories of “word” and “image” in Walter Benjamin’s Arcades Project. Benjamin describes the truth of the articulate wish of the past as “graphically perceptible” and the image as “readable.” In this respect the vocabulary of “word” and “image” that Benjamin’s early work had opposed are not just deployed in concert, but specific features of the vocabulary of “word” and “image” become exchangeable. The distinctive features of this exchange can be used to expound on Benjamin’s peculiar understanding of revolutionary experience and the significance of the break that it marks with his early way of opposing the word and the image. In particular, the exchange of features between word and image can explain the mechanics and intended effect of his idea that the meaning of history can be perceived in an image. The study of this exchange also shows that although the framework of “graphic perception” entails an experience of motivating meaning that is epistemologically grounded, the citation model of history is unable to secure the extension of the sought after legibility of the nineteenth century to a recipient.


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