Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that take values in the tangent bundle instead of the cotangent bundle. Given a vector bundle on P, we find necessary and sufficient conditions on its Grothendieck splitting for it to admit a stable Higgs field. We characterize the rank-2, odd-degree moduli space as a universal elliptic curve with a globally-defin...

Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that take values in the tangent bundle instead of the cotangent bundle. Given a vector bundle on P, we find necessary and sufficient conditions on its Grothendieck splitting for it to admit a stable Higgs field. We characterize the rank-2, odd-degree moduli space as a universal elliptic curve with a globally-defin...

We present a novel simplest fuzzy PID controller using a modified Takagi – Sugeno (TS) rule base. Mathematical model of the controller is derived and analyzed. The unique features of the controller are: (i) the consequent part of the rule base is closely related to the rule base of Mamdani type controller, and (ii) the proportional, integral and derivative gains vary as the output of the system...

in this paper, we give some characterizations for legendre spherical, legendre normal and legendre rectifying curves in the 3-dimensional sasakian space. furthermore, we show that legendre spherical curves are also legendre normal curves. in particular, we prove that the inverse of curvature of a legendre rectifying curve is a non-constant linear function of the arclength parameter.

The objective of this manuscript is to find area under the plasma concentrationtime curve (AUC) for multiple doses of salbutamol sulphate sustained release tablets (Ventolin oral tablets SR 8 mg, GSK, Pakistan) in the group of 18 healthy adults by using computational mathematics techniques. Following the administration of 4 doses of Ventolin tablets 12 hourly to 24 healthy human subjects and bi...

Rule learning is typically used in solving classification and prediction tasks. However, learning of classification rules can be adapted also to subgroup discovery. This paper shows how this can be achieved by modifying the CN2 rule learning algorithm. Modifications include a new covering algorithm (weighted covering algorithm), a new search heuristic (weighted relative accuracy), probabilistic...

This paper presents Garss, a new algorithm for rule subset selection based on genetic algorithms, which uses the area under the ROC curve – AUC – as fitness function. Garss is a post-processing method that can be applied to any rule learning algorithm. In this work, Garss is analysed in the context of associative classification, where an association rule algorithm generates a set rules to be us...

The writhe of a space curve fragment is considered for various boundary conditions. An expression for the writhe as a function of arclength for an arbitrary space curve is obtained. The formula is built on the base of closing the tangent indicatrix with a geodesic. The corresponding closure of a curve in 3-space is explicitly constructed. The addition rule for writhe is formulated. A relationsh...

At the zero lower bound, expected duration of interest rate policy has two dimensions which are key to understanding stance monetary policy: (i) actual communicated by central bank or private sector, and (ii) prescribed underlying rule—the rule that is in place normal times. In a small open economy, depends part on foreign economic conditions. including policy. A tightening abroad depreciates e...

An offset algorithm is important to the contour-parallel tool path generation process. Usually, it is necessary to offset with islands. In this paper a new offset algorithm for a 2D point-sequence curve (PS-curve) with multiple islands is presented. The algorithm consists of three sub-processes, the islands bridging process, the raw offset curve generation and the global invalid loops removal. ...