Kepemimpinan dalam Peningkatan Kualitas Pelayanan Publik di Daerah

Garbage as a elementary problem of human life in forward territory, raises the handling urgency through providing performance of public service in hygine which is the success depends on leadership of a leader. This research uses quantitative methods with descriptive approach. Determination of research sample through multistages random sampling method and formulating them into Slovin formula. Research results show that the measurement of service quality in hygiene in the Jatinangor District Sumedang Regency is 65.30% or 3918 with good predicate. Measurement of Head of Subdistrict’s leadership in Jatinangor Subdistrict Sumedang Regency is 65.30% or 3918 with good predicate. As well as there is assosiation of Head of Subdistrict’s leadership towards service quality of hygiene in managing waste at the Jatinangor District with τ = np-nn/C(n,2) = 0.56.

Microscale solute flow probed with rotating microbead trapped in optical vortex

The dynamics of solute flow in the microscopic chamber can be studied with optical tweezers. A method based on the metallic microbeads trapped in the focused optical vortex beam is proposed. This annular beam of a twisted wavefront exerts torque on a reflective object placed inside the dark core of the vortex. The induced rotational movement of the bead is sensitive to local viscosity changes in the surrounding medium, for example, during the ongoing dissolution process. Two experimental configurations are described, both relying on tracing the angular velocity of the bead in time. In one-bead configuration, the dynamics of local solute concentration can be studied. In two-bead case, the direction and speed of solute flow can be probed with a spatial resolution of single micrometers. We approach the elementary problem of sucrose dissolution and diffusion in water. The surprising impression of the reverse solute flow was observed. Further experimental investigation led to the discovery that this phenomenon originates from the sucrose stream-like diffusion in the mid-depth of the measurement chamber. The rotating microbead method applies for various solid and liquid substances and may become a useful technique for microfluidics research. Graphic abstract

Representation of Integers as Sums of Fibonacci and Lucas Numbers

Motivated by the Elementary Problem B-416 in the Fibonacci Quarterly, we show that, given any integers n and r with n≥2, every positive integer can be expressed as a sum of Fibonacci numbers whose indices are distinct integers not congruent to r modulo n. Similar expressions are also dealt with for the case of Lucas numbers. Symmetric and anti-symmetric properties of Fibonacci and Lucas numbers are used in the proofs.

Unendliche Reihen im Mathematikunterricht

A radically new propaedeutic way of cognition to infinite series. Convergence is not a starting point but the result of a longer and detailed notional construction. In the beginning a series and its „sum” is considered as a symbolic alternative formula for an elementary problem of a certain type and its known solution respectively. Classification: B10, B15, B19; C30, C35, C39; I30, I35, I39. Keywords: Infinite series, propaedeutics to infinite series, Convergence, pursuit processes, psychological-genetic method.

Comprehensive Analysis of the Failure of Intuition in Elementary Rigid Body Dynamics

<p class="1Body">This article provides a thorough and comprehensive analysis of an elementary problem in rigid body dynamics, involving a projectile and a rod on a smooth table. The problem presented is an extension of a problem taken from an undergraduate physics textbook. This paper presents some generalisations to the problem, namely the unevenness (non-uniformity) of the rod’s mass distribution, the elasticity of the collision, and the case where the rod is pivoted. This paper presents nice analytical steps that address some misconceptions in students’ way of thinking as well as the failure of intuition when it comes to solving physics problems which necessarily require mathematical approach. The result is quite surprising and counterintuitive as it goes against our intuition with daily experience involving doors and levers.</p>

Design of Electron Beam Polishing Equipment on Mould

The electron beam polishing equipment technology is brought forward and its characteristic is explained because general processing method can’t obtain preferable machining efficiency and product quality. The theory of electronic beam machining is explained in detail, which include electronic beam come into being. The structural drawing is bring brought by this study. The drive principle of worktable movement and the procedure control of electronic beam machining is describe detailedly. The elementary problem is solved on electronic beam machining in theory.

Application of full and simplified acoustic analogies to an elementary problem

The axisymmetric impulse-heating case used by Tam in a critique of Lighthill's acoustic analogy is revisited. Linear and nonlinear sound levels are considered, as are three versions of the acoustic analogy: full; linearized; and one with the quadrupoles frozen at their initial distribution. Numerical solutions confirm that the full version reproduces the Euler solution and, in our analysis but contrary to Tam's, correctly identifies both the source of sound and nonlinear steepening. The linearized version is somewhat inaccurate at high sound levels, near 175 dB. The frozen version is almost as accurate as the linearized version at these levels, and identical at linear levels. In this admittedly artificial problem, it provides the radiated sound from the initial conditions only, i.e. without using the Euler solution. This is in contrast with the full acoustic analogy, which can be viewed as ‘circular’ in the sense of taking the history of all the Euler variables and returning the density.