scholarly journals Some New Graceful Lobsters with Pendant Vertices with Central Paths

2017 ◽  
Vol 10 (6) ◽  
pp. 1-9
Author(s):  
Debdas Mishra ◽  
Purna Chandra Nayak ◽  
Shushant Kumar Rout ◽  
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1957 ◽  
Vol 41 (2) ◽  
pp. 297-306 ◽  
Author(s):  
David P. C. Lloyd

Observations have been made upon a typical flexor reflex with the aim of disclosing the changes in amount, latency, and temporal configuration of reflex discharge that take place as afferent input is varied from zero to maximal for the band of cutaneous myelinated afferent fibers that extends upward from approximately 6 µ in diameter (group II fibers). Reflex threshold is reached at 6 to 12 per cent maximal afferent input. From threshold to maximal input the relation between input and amount of output is essentially linear, latency on the average decreases, the shorter central paths in general gain preference, but the known minimum pathway, one of three neurons, does not transmit unless aided by convergent activity. Flexor reflex discharge may occur in several bursts suggesting the existence of closed chain connections in the internuncial pools of the spinal cord. At any given input there is, in successively elicited reflexes, little correlation between latency and amount of discharge, at first sight a surprising result for each variable can be taken as a measure of excitability status of the motoneuron population. However, latency of discharge indicates excitability at the beginning of the reflex event whereas amount of discharge is an expression of excitability over the entire period of discharge. Given a constantly and rapidly fluctuating excitability absence of correlation between these variables would be an anticipated result.


2004 ◽  
Vol 103 (1) ◽  
pp. 63-94 ◽  
Author(s):  
J. Charles Gilbert ◽  
Clovis C. Gonzaga ◽  
Elizabeth Karas

2005 ◽  
Vol 15 (03) ◽  
pp. 827-839 ◽  
Author(s):  
JEAN-PIERRE DEDIEU ◽  
MIKE SHUB

We study the geometry of the central paths of linear programming theory. These paths are the solution curves of the Newton vector field of the logarithmic barrier function. This vector field extends to the boundary of the polytope and we study the main properties of this extension: continuity, analyticity, singularities.


Equilibrium ◽  
2017 ◽  
Vol 12 (2) ◽  
pp. 295 ◽  
Author(s):  
Karolina Tura-Gawron

Research background: The Central Bank of Sweden declared in years 1999–2006 the implementation of the Svensson’s concept of inflation forecast targeting (IFT). It means that the repo rate decision-making process depends on the inflation fore-casts. The concept evolved from the strict IFT with the decision-making algorithm called ‘the rule of thumb’ to the flexible IFT.Purpose of the article: The aim of the article is to: (1) analyze the influence of the inflation rate and GDP growth rate on the repo rate decisions, (2) analyze the influence of the inflation rate and GDP growth rate forecasts (in two year horizon) on the repo rate decisions in Sweden in years 1999–2006.Methods: The analysis encompasses the repo rates decisions, CPI inflation rate, GDP growth rate, central paths of CPI inflation forecasts and central paths of GDP growth rate forecasts (the mode values) in the two years horizon published by The Central Bank of Sweden in years 1999–2006. The studies are based on the Taylor-type instrument rule and forecast-based Taylor-type instrument rule. The methodology used is multiple linear regression models.Findings & Value added: The Central Bank of Sweden in years 1999–2006 implemented direct inflation forecast targeting (DIFT) rule. The decision-making algorithm was based on the CPI inflation forecasts and the rule of the thumb algorithm. The exact rule of the thumb was as follow: if the inflation forecast, in the two year forecast’s horizon exceeded the infla-tion target by 1 p.p., then the central bank raised the repo rate by 0.4 p.p; if it was below it, then the central bank reduced the repo rate by 0.4 p.p. If the inflation forecast was equal to the inflation target, then the repo rate remained unchanged. The historical repo rates differ from the theoretical estimated rule of the thumb’s repo rates by +/-0.28 p.p.


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