Miracle-dz/UniFAR-FTUs huggingface dataset:
Three Ehrhart quasi-polynomials

Let $P(b)\subset R^d$ be a semi-rational parametric polytope, where $b=(b_j)\in R^N$ is a real multi-parameter. We study intermediate sums of polynomial functions $h(x)$ on $P(b)$, $$ S^L (P(b),h)=\sum_{y}\int_{P(b)\cap (y+L)} h(x) \mathrm dx, $$ where we integrate over the intersections of $P(b)$ with the subspaces parallel to a fixed rational subspace $L$ through all lattice points, and sum the integrals. The purely discrete sum is of course a particular case ($L=0$), so $S^0(P(b), 1)$ counts the integer points in the parametric polytopes. The chambers are the open conical subsets of $R^N$ such that the shape of $P(b)$ does not change when $b$ runs over a chamber. We first prove that on every chamber of $R^N$, $S^L (P(b),h)$ is given by a quasi-polynomial function of $b\in R^N$. A key point of our paper is an analysis of the interplay between two notions of degree on quasi-polynomials: the usual polynomial degree and a filtration, called the local degree. Then, for a fixed $k\leq d$, we consider a particular linear combination of such intermediate weighted sums, which was introduced by Barvinok in order to compute efficiently the $k+1$ highest coefficients of the Ehrhart quasi-polynomial which gives the number of points of a dilated rational polytope. Thus, for each chamber, we obtain a quasi-polynomial function of $b$, which we call Barvinok's patched quasi-polynomial (at codimension level $k$). Finally, for each chamber, we introduce a new quasi-polynomial function of $b$, the cone-by-cone patched quasi-polynomial (at codimension level $k$), defined in a refined way by linear combinations of intermediate generating functions for the cones at vertices of $P(b)$. We prove that both patched quasi-polynomials agree with the discrete weighted sum $b\mapsto S^0(P(b),h)$ in the terms corresponding to the $k+1$ highest polynomial degrees.
LECTURE NOTES ON LINEAR QUADRATIC CONTROL VERSION OF 02-07-2010

1. Unconstrained finite horizon linear quadratic problem 2 1.1. Critical points of quadratic functionals 2 1.2. Shooting function and Hamiltonian flow 6 1.3. Riccati equation 8 1.4. Expression of the critical value 9 1.5. Legendre forms and minima of quadratic functions 9 1.6. Spectral analysis 12 2. Infinite horizon problems 13 2.1. Setting 13 2.2. Kalman state space theory 13 2.3. The algebraic Riccati equation 18 2.4. Computation of the solution of the ARE 21 2.5. Illustration 22 3. Notes 23 References 24 Index 25
EN SAMMENLIGNING AF KONVERTERINGSSTRATEGIER FOR KONVERTERBARE REALKREDITLÅN

Et konverterbart l̊an kan opfattes som en kombination af et tilsvarende inkonverterbart l̊an og en konverteringsret. Konverteringsretten kan sidestilles med en amerikansk calloption med det inkonverterbare l̊an som underliggende aktiv. Konverteringsretten giver l̊antager ret men ikke pligt til at (tilbage-)købe ydelsesrækken p̊a det inkonverterbare l̊an mod at betale de p̊aløbne renter frem til førstkommende termin og den til det tidspunkt tilbageværende restgæld. Optionen er amerikansk, da konverteringsretten kan udnyttes i hele l̊anets løbetid.
Multi-hop Communication in Bluetooth Low Energy Ad Hoc Network Seminar I Study Programme: Information and Communication Technologies

In this paper an overview of Bluetooth and Bluetooth low energy (BLE) standard is presented which is making a great impact as the lead communication standard in the field of internet of things in home automation. Paper is divided into three parts: in the first part the problem of multi hop data transfer in Bluetooth and BLE is presented. In the second part Bluetooth and BLE are reviewed and ad hoc networks using Bluetooth and BLE are described. In the third part the problems in BLE multi hop data transfer are addressed and possible solutions are indicated. In the last chapters further work is given and some conclusions are drawn.
Comparison of morphological and RAPD markers in evaluation of red clover (Trifolium pratense L.) changes caused by natural selection

Accurate assessment of the levels and patterns of genetic variability and identification of differences for response to natural selection can be invaluable in red clover breeding for diverse applications. The study was conducted to compare the efficiency of morphological and random amplified polymorphic DNA (RAPD) markers in evaluation of changes in red clover (Trifolium pratense L.) cultivars caused by natural selection. Three red clover cultivars and their selections, which had survived for three years growing in an upland region, provided the basic material. Morphological and RAPD data were analysed by NTSYS-pc software. Number of markers detected, values and ranges of distances calculated and 2D Principal Coordinate Analyses (2D PCoA) based on both marker techniques were compared. Although both marker methods indicated the differences among cultivars and selections, parameters differed in values. The number of loci detected by RAPD markers was much higher than that determined with morphological traits. The values and ranges of morphological distances were higher and wider than those of molecular distances. The eigenvectors of 2D PCoA based on morphological data explained more of the total variation observed in the whole data set. Each of the data sets has its own strengths and constraints. For reasonably accurate estimates of genetic variability and its changes under natural selection, adequate attention has to be devoted to both marker methods.
Large-Scale Asset Purchases by the Federal Reserve: Did They Work?

Since December 2008, the Federal Reserve's traditional policy instrument, the target federal funds rate, has been effectively at its lower bound of zero. In order to further ease the stance of monetary policy as the economic outlook deteriorated, the Federal Reserve purchased substantial quantities of assets with medium and long maturities. In this paper, we explain how these purchases were implemented and discuss the mechanisms through which they can affect the economy. We present evidence that the purchases led to economically meaningful and long-lasting reductions in longer-term interest rates on a range of securities, including securities that were not included in the purchase programs. These reductions in interest rates primarily reflect lower risk premiums, including term premiums, rather than lower expectations of future short-term interest rates.
Identification des Facteurs de Succès de la Technologie Web : Approche par la Qualité du Système , de l’Information et du Service : Cas de la Faculté de Droit d’Agadir

This paper proposes a model to test the web technology success in an academic context based on the updated Delone and McLean (2003) original success model. It aims to study the influence of the quality dimensions (system quality, information quality and service quality) on the web technology success. This success is measured by user satisfaction and organizational benefits. A quantitative study was conducted in the faculty of law in Agadir to validate the hypotheses derived from the research model. The results show a significant and positive relationship between the three dimensions of quality and web technology success. They also show the importance of quality dimensions to reduce the cost and time of information diffusion and research.
PRIORITY-BASED NETWORK QUALITY OF SERVICE

Providing Quality of Service (QoS) [1][2] in the Internet has been a significant research area in recent years. QoS provisions can be achieved through the functioning of several network entities which control the buffer and bandwidth allotment to competing traffic flows, such as scheduling algorithms. Scheduling algorithms control one way end-to-end delay, throughput, packet loss, and bandwidth management by deciding which packet to forward next from several queues containing traffic from different incoming flows. The Diffserv [3] QoS architecture, defined by the Internet Engineering Task Force (IETF) to provide service differentiation among Internet traffic, uses Fair Queuing [2] and WFQ [1] scheduling algorithms. WFQ is a static scheduling algorithm, in which every flow/queue is associated with a fixed weight and packets are scheduled based on the Type of Service (ToS) level priorities. We propose a congestion-reactive VWFQ algorithm which is a dynamic QoS provisioning scheduling algorithm,
Birkhoff on Aesthetic Measure

Every reader of this Bulletin will find this work thought-provoking. Its first appeal is to the analytically-minded aesthetician ; but there are questions and implications far beyond any specialist's domain. The reviewer will therefore examine Aesthetic Measure, firstly, as to how well it solves its self-imposed problem, and, secondly, as to the relevance of its contribution to aesthetics, this term being used in its broadest sense. In Chapter 1, Professor Birkhoff presents the following mathematical formulation of the fundamental problem: "Within each class of aesthetic objects, to define the order O and the complexity C so that their ratio M—O/C yields the aesthetic measure of any object in the class. " In subsequent chapters, this problem is solved for various simple classes of aesthetic objects in great detail. The author distinguishes between "formal" and "connotative" associations, and explains that "our attention will be directed almost exclusively toward the formal side of art, to which alone the basic formula of aesthetic measure can be quantitatively applied," but with "no intention of denying the transcendent importance of the connotative side in all creative art." In Chapters 2, 3, and 4, the author elaborately applies his theory to poly-gonal forms, ornaments and tilings, and vases—that is, to the more elementary fields. The reader stands amazed at the author's thoroughness. Here minor criticisms are beside the point; for the author does seem to establish the validity of his formula. In Chapter 2, there is recorded the aesthetic measure of 90 polygonal forms, pictured in colored plates. In Chapter 3, five interesting full-page plates illustrate species of one-and two-dimensional ornaments. But the discussion preliminary to application of the theory, though a neat piece of analysis, is sufficiently mathematical to become formidable reading. In Chapter 4, we meet a difficulty. That the theory "here is to be regarded as more questionable than the theories of polygons and ornaments" suggests that the more abstract vase form has higher expressiveness. And we sense trouble ahead in dealing with an art so abstract as music. The author himself concedes, in closing the chapter on vases: "It is an interesting question as to how the explicit knowledge that these simple relations exist in a given case affects the aesthetic judgment. In my opinion, the effect is slightly adverse, for, in all fields of art, it is the intuitively felt relationships which are the most enjoyed. " In Chapters 5, 6, and 7, …
Practical Aspects of Mobility in Wireless Self-organizing Networks

Introduction Mobile ad hoc networks consist of mobile devices communicating over wireless links without any support from a fixed infrastructure. Originally envisioned for a vast set of applications , such as disaster recovery or tactical communication , mobile ad hoc networks also provide attractive opportunities to connect mobile users in urban areas at a low cost, based on portable devices like PDAs, mobile phones, media players , and so on. We expect that these kinds of ad hoc networks will enable a multitude of new useful applications in the near future. For example, users could exchange music files, photos, or pod-casts directly when they are in proximity without the necessity to detour through an intermediate fixed infrastructure. Although many have acknowledged the potential benefits of mobile ad hoc networks of
Effet de l’acclimatation thermique à jeune âge associée à la restriction alimentaire quantitative chez le poulet de chair de souche lourde (Hubbard Classic)

The aim of this study was to determine the effect of early heat acclimatization applied to broiler restricted to 50% ad libitum on growth performances, mortality rate and meat yields of chickens exposed at the age of 56 days to heat stress during 10 hours. The experiment was conducted on 800 chicks divided into 4 groups: T (fed ad libitum and not acclimatized), R (restricted to 50% ad libitum from 21 to 35 days and not acclimatized), RAC (exposed to 39°C ± 1°C during 24 hours and restricted to 50% ad libitum from 21 to 35 days) and AC (exposed to 39 °C±1°C during 24 hours at 5 days). Mortality rates of RAC group (10%) and AC (12%) were lower during heat stress (40C°±1 during 10 hours) at the age of 56 days compared to other groups T (34%) and R (26%). Results of this study confirm that thermal conditioning reduces mortality at finishing period and increases thermotolerance in chickens during heat stress. Internal rectal temperatures of acclimatized groups taken at 56 days were significantly higher (p <0.05) than not acclimatized groups. Blood T3 (triiodothyronine) rate is reduced during heat stress of RAC and AC groups. Restricted chickens expressed compensatory growth. During refeeding until 56 days the RAC chickens have expressed a similar average daily gain to that of T and AC groups. During the second week of restriction the best feed efficiency correspond to that of RAC (2,06 ±0,4)chickens and R(1,91±0,19). Abdominal fat deposition of chickens slaughtered at 42 days and 60 days of age, is not affected by food restriction not by thermal conditioning. Thigh, breast and cold carcass weights are not affected neither by thermal conditioning nor by the feed restriction nor by the combination of both of them. In conclusion, early acclimatization associated with feed restriction to 50 % ad libitum improves growth performance during the restriction and the refeeding period and reduce mortality at finishing period.
BOGDANOV-TAKENS BIFURCATION FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity. Then, by employing the method based on center manifold reduction and normal form theory due to Faria and Magalhães [4], a concrete reduced form for the parameterized NFDEs is obtained and the bifurcation behavior of the parameterized NFDEs is described. This result extend the B-T bifurcation analysis reported in [16]. Finally, two examples ilustrate the theoretical results.
Individual Differences Predict Patterns in Spontaneous Involuntary Musical Imagery

Involuntary musical imagery (INMI) describes the everyday phenomenon of having a tune stuck in the head. Research has established the ubiquity of this form of spontaneous cognition but the predictive role of individual differences is still debated. This study examines the impact of everyday musical behaviors and subclinical obsessive compulsive attributes on INMI experiences. In total 1,536 participants completed three online questionnaires; a novel inventory of musical behavior and INMI, and a standardized obsessive compulsion (OC) inventory. Exploratory factor analysis (N = 512) and structural equation modelling (N = 1,024) were applied. Everyday singing and music listening positively predict length and frequency of reported INMI episodes, respectively. No relationships were found with musical training. High OC was positively related to INMI frequency and disturbance, but only indirectly to INMI episode length and unpleasantness. The identified contributory factors of INMI experiences are discussed in the context of musical memory and spontaneous mental activity.
Lecture Notes on Microeconomics

2016 This publication is the result of the project M lodzi projektuj a zarz adzanie co-financed by the European Social Fund within Human Capital Operational Programme, Priority IV " Higher education and science, " Measure 4.1 " Strengthening and development of didactic potential of universities and increasing the number of graduates from faculties of key importance for knowledge-based economy, " Sub-measure 4.1. 1 " Strengthening and development of didactic potential of universities. " Publisher: Szkoo la G lówna Handlowa w Warszawie (SGH) Preface These notes are prepared for the Microeconomic courses I teach at the Warsaw School of Economics. They are aimed to serve as a supplementary material for Microeco-nomic course at the introductory or intermediate level. The material covers canonical first level microeconomic topics including: consumer and producer choice, as well as competitive and monopolistic (partial) equilibrium analysis. If time allows (and it usually did during 15 meetings, hour and a half each) I also recommend to cover additional topics including: choice under uncertainty, introduction to non-cooperative games, selected issues from industrial organization or externalities (including analysis of public goods). Finally to introduce the reader to more advanced microeconomic topics I have prepared two short chapters on general equilibrium analysis as well as economics of asymmetric information. These are, however, only sketched here. The selection of material covered can depend also on major taught, and can vary between economics, finance or management. Each chapter includes a separate section with (subjectively selected) references to some important further readings. Finally, although material presented here is usually more than enough to cover during a standard one semester course, some important economic topics / disciplines are missing here (including public choice, mechanism design, cooperative game theory to mention just a few). Clearly, the notes are far from being complete and cannot compensate for reading a full textbook on Microeconomics. One reason is that some (important) details are missing here. Firstly, whenever not restrictive to present the main argument I use standard tools from constrained optimization for differentiable objectives and constraining functions, hence " non-smooth " /discrete case is not covered here. Secondly, as the exposition is mainly aimed to show the basic trade-offs but not solve all the problems, I only occasionally discuss the second order optimality conditions. Thirdly, when presenting some theorems or statements I miss their proofs but give a reference for such or sketch an argument when necessary. I tried to …
Challenging Conventional Wisdom about Farm Input Credit in Sub-saharan Africa the Issue: How Are Farmers in Ssa Financing Modern Input Use?

Findings:  The use of traditional credit (formal, informal, tied and untied) for financing modern inputs is extremely low. This applies in all countries, and for all crops and farm sizes.  Farmers primarily finance modern input purchases with cash from nonfarm activities and crop sales.  Tied output-factor market arrangements play a very minor role in financing external inputs, but appear to be relatively widely used for labor credit.  “Traditional” cash crop farmers selling to processors rarely receive credit from processors, except in a few enclaves such as larger tobacco farmers in Tanzania
Uso da glicerina bruta na alimentação animal

Resumo A glicerina bruta ao ser absorvida pelo rúmen ou intestino delgado, torna-se um precursor de glicose para as vias gliconeogênicas e produção de ácidos graxos voláteis. Esta revisão tem por objetivo descrever as vantagens e desvantagens do uso da glicerina bruta na alimentação animal, visando diminuir o impacto ambiental, causado pelo acúmulo de resíduos na natureza. Palavras-chave: biodiesel, frangos, glicerol, ruminantes, subprodutos
A FAMILY OF SEQUENCES OF BINOMIAL TYPE

For a delta operator aD − bD p+1 we find the correspond- ing polynomial sequence of binomial type and relations with Fuss numbers. In the case of D − 1 D 2 we show that the corresponding Bessel-Carlitz polynomials are moments of the convolution semigroup of inverse Gaus- sian distributions. We also find probability distributions t, t > 0, for which {yn(t)}, the Bessel polynomials at t, is the moment sequence.
Extended affine root system IV (simply-laced elliptic lie algebras)

Let (R, G) be a pair consisting of an elliptic root system R and a marking G of R. Assume that the attached elliptic Dynkin diagram F(R, G) is simply-laced. To the simply-laced elliptic root system, we associate three Lie algebras, explained in 1), 2) and 3) below. The main result of the present paper is to show that all three algebras are isomorphic. 1) The first one, studied in §3, is the subalgebra &(R) generated by the highest vector e for all a £ R in the quotient Lie algebra VQ(R^ / DVQ(p^ of the lattice vertex algebra attached to the elliptic root lattice Q(R). 2) The second algebra e(reii), studied in §4, is presented by the Chevalley generators and the generalized Serre relations attached to the elliptic Dynkin diagram 3) The third algebra fjff * 0af , studied in §5, is defined as an amalgamation of an affine Heisenberg algebra and an affine Kac-Moody algebra together with the finite amalgamation relations.
SU(2)-Donaldson invariants of the complex projective plane

There are two families of Donaldson invariants for the complex projective plane, corresponding to the SU(2)-gauge theory and the SO(3)-gauge theory with non-trivial Stiefel-Whitney class. In 1997 Moore and Witten conjectured that the regularized u-plane integral on the complex projective plane gives the generating functions for these invariants. In earlier work the second two authors proved the conjecture for the SO(3)-gauge theory. Here we complete the proof of the conjecture by confirming the claim for the SU(2)-gauge theory. As a consequence, we find that the SU(2) Donaldson invariants for CP^2 are explicit linear combinations of the Hurwitz class numbers which arise in the theory of imaginary quadratic fields and orders.
OSCILLATION CRITERIA OF CERTAIN THIRD ORDER NEUTRAL DIFFERENTIAL EQUATIONS

This paper deals with the oscillation of the following third order neutral delay differ- ential equation (r(t)|z �� (t)| α−1 z �� (t)) � +q(t)|x(τ(t))| α−1 x(τ(t)) = 0, where t t0, α > 0a ndz(t )= x(t)+p(t)x(δ(t)). We will establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero. Two examples are also provided to illustrate the relevance of the main results. (A1) p(t),q(t) ∈C((t0, ∞),R) with −μ p(t) p 0f or allt Tx.
Assouad's Method 3.1 the Method 3.1.1 Well-separated Problems

Assouad’s method provides a somewhat different technique for proving lower bounds. Instead of reducing the estimation problem to a multiple hypothesis test or simpler estimation problem, as with Le Cam’s method and Fano’s method from the preceding lectures, here we transform the original estimation problem into multiple binary hypothesis testing problems, using the structure of the problem in an essential way. Assouad’s method applies only problems where the loss we care about is naturally related to identification of individual points on a hypercube.
Aufdecken und Konfrontieren

Spektakuläre Aktionen haben Greenpeace weltweit bekannt gemacht. Seit 1971 setzt sich die internationale Umweltorganisation für den Schutz der Lebensgrundlagen ein. Das oberste Prinzip ist dabei Gewaltfreiheit. Die Organisation ist politisch und wirtschaftlich unabhängig von Regierungen, politischen Parteien und wirtschaftlichen Interessengruppen. Greenpeace arbeitet global, denn Umweltzerstörung kennt keine Grenzen.
A FINANCIAL SERVICES CASE STUDY OF SOA BASED ON CEP

With the growing amount of information in various domains, real-time retrieval and analysis is the most frequently used operation. The integration of service-oriented architecture (SOA) and Event-Driven Architecture (EDA) known as event-driven SOA (ED-SOA) has been widely adopted for developing various kinds of real-time applications. We describe a generic approach with an ability to perform complex event publishing, querying, analysis, processing and integration with SOA. Finally, a financial services case of SOA based on complex event processing (CEP) is provided in this paper. Our study shows that it is beneficial not only in reducing the development complexity, but also in coping with dynamic changes at all abstraction levels.