p-Adic Invariant Summation of Some p-Adic Functional Series

We consider summation of some finite and infinite functional p-adic series with factorials. In particular, we are interested in the infinite series which are convergent for all primes p, and have the same integer value for an integer argument. In this paper, we present rather large class of such p-adic functional series with integer coefficients which contain factorials. By recurrence relations, we constructed sequence of polynomials A_k(n;x) which are a generator for a few other sequences also relevant to some problems in number theory and combinatorics.Comment: 11 page

Optimization of Lithium Iron Phosphate Battery Charging and Performance

The goal of this project is to efficiently and safely charge a 5kWh battery pack in 15 minutes. Since the project is still in progress, this report describes experiments on a 56Wh battery. Experiments were performed to investigate various charging algorithms (Section 5.2.3), temperature effects (Sections 5.1.1-5.1.3 and 5.2.2) and long term health of the battery pack (Section 5.2.4). An introduction describing the motivation for the project is given in Section 1. Section 2 gives a detailed description of the equipment used including: cells, data acquisition devices, software, sensors, power sources and temperature control. Calculations performed on the data using Matlab are explained in Section 3. The methods for running experiments are described in Section 4. Section 5.1 gives the results for single cell experiments while Section 5.2 gives results for the battery pack. Some conclusions are drawn in Section 6. The report is followed by a few appendices which contain extra graphs.Award N00014-13-1-039

Data Lifetime Estimation in a Multicast-Based CoAP Proxy

In this work we consider kernel-based record lifetime estimation in a proactive Internet of Things (IoT) proxy with multicast based cache management. Multicast refreshment requests were based on lifetime expiration for a predefined number of records. To reduce the traffic volume in the IoT domain, we assume that only nodes where the observed physical variable has changed its value will respond to the multicast request. For estimating the data lifetime at the proxy, we use Gaussian kernels, assuming that the intrinsic data lifetime probability distribution was taken from Erlang-k family of sub-exponential distributions. In this setup, we consider that the proxy connects to the IoT domain using an IEEE 802.15.4-compatible wireless network. Results indicate that narrow and symmetrical lifetime probability distributions require more frequent multicasting refreshments compared to wider and asymmetric ones. This increases traffic intensity and energy consumption in IoT domain. We quantify finding with numerical results

Bosnia and Herzegovina and the new Government Strategy

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Discourse Functions of Certain Fronting Constructions in English

Following the assumption that similarities in syntactic form may correspond to discourse-functional similarities in the use of those forms, the paper examines English declarative sentences with initial non-subject nominals and initial adverbials. The identified discourse functions (additional elements of meaning introduced in the propositional content of sentences with canonical word order and the contribution of frontings to the context) were divided into prominence-giving pragmatic ones and text-development ones. The parameters influencing these discourse functions include: a/syntactic ones (form, definiteness, functional category), b/semantic and pragmatic ones (referring to information status), and c/ semantic and textual ones (dealing with formal, functional and semantic similarities between the initial element and other elements and structures in the relevant language segment)

Has the Introduction of Bitcoin Futures on Regulated Exchanges Decreased Price Volatility?

Master's thesis Business Administration BE501 - University of Agder 2019Bitcoin is a tremendously debated phenomenon in the world of finance and in recent the scientific literature on the topic has expanded. In this thesis,the bitcoin to US dollar exchange rate is examined through various conditional variance models to describe its highly volatile nature. We examine whether the introduction of bitcoin futurescontractsin late 2017 has had a decreasing impact on price volatility by estimatingthe unconditional variance. The log-return of the bitcoin exchange rate is analysed,and there is evidence of volatility clustering and time-varying volatility. Consequently, the variance is modelled through the GARCH(1,1), EGARCH(1,1) and GJR-GARCH(1,1) modelswith innovations followingthree distributions. The in-sample selection method selectedthe EGARCH(1,1) model where innovation terms follow a generalizederror distribution as the most parsimonious model. The findings show that volatilityhas not decreased after the introduction of bitcoin futures on regulated exchanges. Keywords: Bitcoin, conditional variancemodelling, bitcoin futures, price volatility exchange rate, statistical analysi