SỬ DỤNG PHẦN MỀM DATA STUDIO VÀ GIAO DIỆN SCIENCE WORKSHOP TRONG DẠY HỌC BÀI “SUẤT ĐIỆN ĐỘNG CẢM ỨNG” VẬT LÍ 11 THEO HƯỚNG PHÁT TRIỂN NĂNG LỰC GIẢI QUYẾT VẤN ĐỀ CỦA HỌC SINH

In teaching physics in general and teaching experiments in particular, the use of Data Studio software and the Science Workshop interface will assist teachers and students in collecting data and processing results quickly, help teachers save time, strengthen other students' thinking activities such as: proposing predictions, building hypotheses. In addition, Data Studio software and Science Workshop interface are also used to collect data of many physical quantities that need to be measured and transferred to the computer through corresponding transforming equipment (mechanical - electrical, optical - electricity, heat - electricity ....). With its large data storage conpetence and high processing speed, it can record a lot of measurement results in a short time and store them in long term memory, these values ​​can be used over and over again later, after the experiment was finished. With the Faraday-law experiment set connected to Data Studio software and the Science Workshop interface, in addition to assisting students in collecting data, these softwares also help students in calculating, experimental graphing. Based on those graphs, students can make predictions about the law of the investigated electromagnetic induction phenomenon.Dạy học theo hướng tiếp cận năng lực (NL) là một trong những định hướng quan trọng trong chương trình giáo dục phổ thông mới. Vì thế, việc phát triển NL nói chung và năng lực giải quyết vấn đề (NL GQVĐ) nói riêng của học sinh (HS) trở thành một nhiệm vụ quan trọng trong dạy học ở trường phổ thông hiện nay. Vật lí học là môn khoa học thực nghiệm, do đó thí nghiệm và phương tiện trực quan luôn đóng một vai trò quan trọng trong dạy học theo hướng phát triển NL của HS nói chung và NL GQVĐ nói riêng. Do đó, khai thác thí nghiệm và phương tiên trực quan trong dạy học vật lí là một trong những biện pháp nhằm góp phần đổi mới dạy học vật lí theo hướng tiếp cận NL. Trong bài viết này đề cập đến việc sử dụng kết hợp phần mềm Data Studio và giao diện Science Workshop vào dạy học định luật Fa-ra-đây theo hướng phát triển NL GQVĐ của HS

On bisectors for convex distance functions in 3-space

We investigate the structure of the bisector of point sites under arbitrary convex distance functions in three dimensions. Our results show that it is advantageous for analyzing bisectors to consider their central projection on the unit sphere, thereby reducing by one the dimension of the problem. From the concept of “silhouettes ” and their intersections we obtain simple characterizations of important structural properties like the number of connected components of the bisector of three sites. Furthermore, we prove that two related bisectors of three sites may intersect in permuted order

An interface between physics and number theory

We extend the Hopf algebra description of a simple quantum system given previously, to a more elaborate Hopf algebra, which is rich enough to encompass that related to a description of perturbative quantum field theory (pQFT). This provides a mathematical route from an algebraic description of non-relativistic, non-field theoretic quantum statistical mechanics to one of relativistic quantum field theory. Such a description necessarily involves treating the algebra of polyzeta functions, extensions of the Riemann Zeta function, since these occur naturally in pQFT. This provides a link between physics, algebra and number theory. As a by-product of this approach, we are led to indicate inter alia a basis for concluding that the Euler gamma constant γ may be rational

B-fields and Dust in Interstellar Filaments Using Dust Polarization (BALLAD-POL). I. The Massive Filament G11.11–0.12 Observed by SOFIA/HAWC+

We report the first measurement of polarized thermal dust emission toward the entire infrared dark cloud G11.11−0.12 taken by the polarimeter SOFIA/HAWC+ at 214 μ m. The obtained magnetic fields ( B -fields) from the polarized emission of the early-stage and massive filament tend to be perpendicular to its spine. We produce a map of B -field strengths for the center region of the filament. The strengths vary in the range of 100–600 μ G and are strongest along the filament's spine. The central region is sub-Alfvénic and mostly subcritical, meaning that B -fields dominate over turbulence and are strong enough to resist gravitational collapse. The alignment and properties of dust grains in the filament are studied using radiative torque (RAT) theory. We find the decrease of polarization degree P with emission intensity I , i.e., depolarization effect, of the form P ∝ I ^− ^α with α ∼ 0.8–0.9, implying a significant loss of grain alignment in the filament's spine. The depolarization can be explained by the decrease in RAT alignment efficiency toward the denser regions with weaker radiation field, which cannot be explained by B -field tangling. We study the effect of the enhanced magnetic relaxation by embedded iron inclusions on RAT alignment and find that the high polarization fraction P ∼ 20%–30% in the outer layer of the filament is potential evidence for the magnetically enhanced RAT alignment mechanism. This is the first time this effect is evaluated in a filament. Based on the polarization fraction and RAT alignment theory, we also find evidence for grain growth in the filament