The following inequality relating to the ratio of the gamma functions α logx x− Γ(x) Γ ( x+ x ) , where α is a suitable constant, is established for every x > 0 . This inequality gives a contribution to the recent results, proved by several authors, involving the functions Γ(x) and Γ ( 1 x ) . It also gives an alternative proof of a conjecture formulated by D. Kershaw and recently proved by G.J...

We present a novel technique to identify emerging or important topics mentioned on social media. A sudden increase in related posts can indicate an occurrence of an external event. Assuming that the sequence of posts is a homogeneous Poisson process, this sudden change can be modeled using the Gamma distribution. Our Gamma curve fitter is used to return a set of emerging topics. We demonstrate ...

We investigate LIBOR-based derivatives using a parsimonious field theory interest rate model capable of instilling imperfect correlation between different maturities. Delta and Gamma hedge parameters are derived for LIBOR Caps and Floors against fluctuations in underlying forward rates. An empirical illustration of our methodology is also conducted to demonstrate the influence of correlation on...

The Gamma associative classifier is among the most used classifiers of the alpha-beta associative approach. It had been used successfully to solve many Pattern Recognition tasks, including environmental applications. However, as most classifiers, Gamma suffers with the presence of noisy or mislabeled instances in the training sets. This paper evaluates the impact of using instance selection tec...

Introduction: Scatter radiation is one of the major sources of error in nuclear medicine data processing. Different methods of scatter correction have been introduced in order to improve the quality of data. However the best method is to avoid recording of scatter photons in acquisition. The only difference between scattered and non-scattered photons is the energy. Pulse height analyzer i...

The branching ratio of the structure dependent (SD) radiative $K^{+} \to e^{+} \nu_{e} \gamma$ decay relative to that $K^+\rightarrow e^+ (\gamma)$ including internal bremsstrahlung (IB) process ($K_{e2(\gamma)}$) has been measured in J-PARC E36 experiment using plastic scintillator/lead sandwich detectors. In analysis, effect IB was also taken into account SD as $K_{e2\gamma(\gamma)}^{\rm SD}$...

We investigate the avalanche dynamics of the Bak-Tang-Wiesenfeld sandpile model on scale-free (SF) networks, where the threshold height of each node is distributed heterogeneously, given as its own degree. We find that the avalanche size distribution follows a power law with an exponent tau. Applying the theory of the multiplicative branching process, we obtain the exponent tau and the dynamic ...