We establish a relationship between HP(Y), the Abouzaid–Manolescu sheaf-theoretic SL(2,C) Floer cohomology for surgery Y on small knot in S3 and Curtis’ Casson invariant. use this to compute HP most surgeries two-bridge knots. also two nonsmall knots, granny square provide partial calculation of framed HP#(Y) knots apply data we obtain show nonexistence exact triangle HP#.

In this paper, we present a geometric method for describing the effects of the delay induced uncertainty on the stability of a standard Smith Predictor control scheme. The method consists of deriving the stability crossing curves in the parameter space defined by the nominal delay, and delay uncertainty, respectively. More precisely, we start by computing the crossing set, which consists of all...

Smith was a pioneer epidemiologist, bacteriologist, and pathologist who made many contributions to medical science that were of far-reaching importance. He is best known for his work on Texas cattle fever, in which he and his colleagues discovered the protozoan agent and its means of transmission by ticks. This was the ¿ rst time that an arthropod had been de¿ nitively linked with the transmiss...

The problem discussed in this paper is the effect of latency time on the OGY chaos control methodology in multi chaotic systems. The Smith predictor, rhythmic and memory strategies are embedded in the OGY chaos control method to encounter loop latency. A comparison study is provided and the advantages of the Smith predictor approach are clearly evident from the closed loop responses. The comple...

In an open-ended contingent valuation (CV) survey, a respondent can state any non-negative valuation for a given good. As the set of possible responses is infinite, the GibbardSatterthwaite theorem implies that such a survey cannot be incentive-compatible. That is, participants in an open-ended CV survey have an incentive to increase their utility by misrepresenting their preferences. This natu...

In this study, Black, Macklem, and Rose thoroughly describe the outcomes when a wide range of reaction functions are set in CPAM, the Canadian Policy Analysis Model developed at the Bank of Canada. The reaction functions for monetary policy influence the short-term interest rate relative to the long-term rate. The analysis begins with the CPAM reaction function, which targets the expected diffe...

Given a knot K we may construct a group Gn(K) from the fundamental group of K by adjoining an nth root of the meridian that commutes with the corresponding longitude. These “generalised knot groups” were introduced independently by Wada and Kelly, and contain the fundamental group as a subgroup. The square knot SK and the granny knot GK are a well known example of a pair of distinct knots with ...