Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms

The two-dimensional harmonic polylogarithms \G(\vec{a}(z);y), a generalization of the harmonic polylogarithms, themselves a generalization of Nielsen's polylogarithms, appear in analytic calculations of multi-loop radiative corrections in quantum field theory. We present an algorithm for the numerical evaluation of two-dimensional harmonic polylogarithms, with the two arguments $y,z$ varying in the triangle $0\le y \le 1$, $0\le z \le 1$, $\ 0\le (y+z) \le 1$. This algorithm is implemented into a {\tt FORTRAN} subroutine {\tt tdhpl} to compute two-dimensional harmonic polylogarithms up to weight 4.Comment: 22 pages, LaTe

Patient Monitor for SpO2 and Temperature Parameters

Patient monitor is an apparatus used to monitor the patient\u27s condition in real-time, hence the patient\u27s physiological conditions can be identified at that time. The purpose of this study is to design a patient monitor for SpO2 and temperature parameters based on computer with Delphi progaming. In this work, the author developed  patient monitor with two parameters (SpO2 and Temperature). The workings of this tool are very simple by installing the finger sensor on the finger and the temperature sensor in the armpit area will then be detected by the two sensors that will be displayed on the PC and LCD Characters, analog data from the ADC Atmega is received by the personal computer (PC) via Bluetooth HC -05 and values ​​per parameter are also displayed on the Character LCD. After measuring, get an error in the tool, the biggest SpO2 error of this tool is 1.02% and get the smallest error of 0.8%. And for the biggest error of Temperature of 1.02% and the smallest error of 0.8%

Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions

The three-loop form factors in massless QCD can be expressed as a linear combination of master integrals. Besides a number of master integrals which factorise into products of one-loop and two-loop integrals, one finds 16 genuine three-loop integrals. Of these, six have the form of a bubble insertion inside a one-loop or two-loop vertex integral. We compute all master integrals with these insertion topologies.Comment: 12 pages, 1 figur

- XSummer - Transcendental Functions and Symbolic Summation in Form

Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums,where the harmonic sums and their generalizations appear as building blocks, originating for example from the expansion of generalized hypergeometric functions around integer values of the parameters. In this Letter we discuss the implementation of several algorithms to solve these sums by algebraic means, using the computer algebra system Form.Comment: 21 pages, 1 figure, Late

Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation

We compute the two-loop corrections to the massless quark form factor $\gamma^* \to q\bar q$ and gluon form factor $H\to gg$ to all orders in the dimensional regularisation parameter $\epsilon=(4-d)/2$. The two-loop contributions to the form factors are reduced to linear combinations of master integrals, which are computed in a closed form, expressed as $\Gamma$-functions and generalised hypergeometric functions of unit argument. Using the newly developed HypExp-package, these can be expanded to any desired order, yielding Laurent expansions in $\epsilon$. We provide expansions of the form factors to order $\epsilon^2$, as required for ultraviolet renormalisation and infrared factorisation of the three-loop form factors.Comment: 9 pages, latex, references update

Hubungan Gaya Kepemimpinan Dengan Kualitas Pelayanan Pada Badan Penanaman Modal Dan Perijinan Kabupaten Lamongan

SI Moch. Tivian Ifni Rizal, Program Studi Ilmu Pemerintahan, Fakultas Ilmu Sosial dan Ilmu Politik, Universitas Brawijaya, Malang, Tahun 2014, Hubungan Gaya Kepemimpinan dengan Kualitas Pelayanan Pada Badan Penanaman Modal dan Perijinan Kabupaten Lamongan, Dosen Pembimbing : Restu Karlina Rahayu, S.IP., M.Si. dan Dr. M. Lukman Hakim, S.IP., M.Si. Fenomena masalah pelayanan publik di Instuitusi pemerintahan bukan menjadi hal baru. Masalah-masalah seperti mekanisme yang masih cenderung berbelit-belit dan rumit menjadi masalah vital pelayanan. Oleh karena itu institusi dituntut harus mereformasi pelayanan publik sesuai dengan Standar Pelayanan Minimal dan Standar Pelayanan Publik yang telah ditetapkan. Badan Penanaman Modal dan Perijinan (BPMP) Kabupaten Lamongan telah mereformasi pelayanan namun tidak cukup berdampak baik bagi kualitas pelayanan mengingat masih banyak permasalahan pelayanan yang terjadi, yang didukung dari faktor pemimpin yang merupakan faktor terpenting dalam reformasi pelayanan tidak bersifat pemimpin pelayan melainkan lebih cenderung bersifat patrimonial. Faktor pemimpin tersebut yang memiliki hubungan dalam menentukan kualitas pelayanan yang ada di BPMP Lamongan. Oleh karena itu untuk mengetahui hubungan antar kepemimpinan dengan kualitas pelayanan tersebut, maka dilakukan penelitian kuantitatif dengan analisis korelasi. Data diperoleh dari hasil kuesioner sebanyak 36 responden penelitian yang ditentukan dengan teknik probability sampling, sebagai data primer dan analisis terhadap wawancara, dokumen dan buku-buku sebagai data sekunder. Variabel yang digunakan yaitu gaya kepemimpinan yang melayani dan kualitas pelayanan. Berdasarkan dari hasil penelitian dapat disimpulkan bahwa responden menilai gaya kepemimpinan sudah mencerminkan pemimpin pelayanan sebesar 75% dan kualitas pelayanan sudah baik dengan penilaian sebesar 75%. Sedangkan untuk hubungan antara gaya kepemimpinan dengan kualitas pelayanan terjadi hubungan yang signifikan dan sangat kuat dengan nilai korelasi sebesar 0.9043 serta hubungannya bersifat positif dalam artian bahwa semakin kuat gaya kepemimpinan maka semakin baik pula kualitas pelayananny

Numerical Evaluation of Harmonic Polylogarithms

Harmonic polylogarithms $\H(\vec{a};x)$, a generalization of Nielsen's polylogarithms ${S}_{n,p}(x)$, appear frequently in analytic calculations of radiative corrections in quantum field theory. We present an algorithm for the numerical evaluation of harmonic polylogarithms of arbitrary real argument. This algorithm is implemented into a {\tt FORTRAN} subroutine {\tt hplog} to compute harmonic polylogarithms up to weight 4.Comment: 16 pages, LaTeX, minor changes, to appear in Comp. Phys. Com

Four-loop results on anomalous dimensions and splitting functions in QCD

We report on recent progress on the flavour non-singlet splitting functions in perturbative QCD. The~exact four-loop (N^3LO) contribution to these functions has been obtained in the planar limit of a large number of colours. Phenomenologically sufficient approximate expressions have been obtained for the parts not exactly known so far. Both cases include results for the four-loop cusp and virtual anomalous dimensions which are relevant well beyond the evolution of non-singlet quark distributions, for which an accuracy of (well) below 1% has now been been reached.Comment: 11 pages, LaTeX (PoS style), 4 eps-figures. Contribution to the proceedings of `RADCOR 2017', St. Gilgen (Austria), September 201

BSAURUS- A Package For Inclusive B-Reconstruction in DELPHI

BSAURUS is a software package for the inclusive reconstruction of B-hadrons in Z-decay events taken by the DELPHI detector at LEP. The BSAURUS goal is to reconstruct B-decays, by making use of as many properties of b-jets as possible, with high efficiency and good purity. This is achieved by exploiting the capabilities of the DELPHI detector to their extreme, applying wherever possible physics knowledge about B production and decays and combining different information sources with modern tools- mainly artificial neural networks. This note provides a reference of how BSAURUS outputs are formed, how to access them within the DELPHI framework, and the physics performance one can expect.Comment: 52 pages, 24 figures, added author Z.

Scattering amplitudes for e^+e^- --> 3 jets at next-to-next-to-leading order QCD

We present the calculation of the fermionic contribution to the QCD two-loop amplitude for e^+e^- --> q qbar g.Comment: 5 pages, 4 figures, espcrc2.sty (included), Talk given at QCD '02, Montpellier, France, 2-9th July 200