We construct a very general family of characteristic functions describing random matrix ensembles (RME) having a global unitary invariance, and containing an arbitrary, one-variable probability measure, which we characterize by a "spread function." Various choices of the spread function lead to a variety of possible generalized RMEs, which show deviations from the well-known Gaussian RME origin...

1 Abstract The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Gini-bre RME), are applied to following quantum statistical systems: nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum integr...

1 Abstract The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Gini-bre RME), are applied to following quantum statistical systems: nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum integr...

This study examines the development of learning designs based on Realistic Mathematics Education (RME) probability topic at eighth-grade junior high school level. Probability abounds in everyday life, and RME approach is believed to develop students’ mathematical communication skills. design used Plomp model combined with Gravemeijer Cobb model. The research phase includes preliminary research,...

This paper presents a case study about employing Realistic Mathematics Education (RME)-approach to teach mathematics in Indonesian primary schools. Many obstacles, such as the very dependent attitude of the pupils, the pupils who were not used to working in groups, lack of reasoning capability and lack of understanding of basic concepts, were found when the pupils, who were used to the traditio...

This paper reports on results of the final phase of a four-year study called CASCADE-IMEI. The project aims at designing, evaluating and implementing a learning environment (LE) which intends to introduce Realistic Mathematics Education (RME) to (prospective) mathematics teachers in Indonesia. This paper, first, describes mathematics education reform in Indonesia since Soeharto's regime was des...

Rapeseed oil methyl ester (RME) and (bio)ethylene are converted into biofuel with an evenly rising boiling point curve, which fulfills the strict boiling specifications prescribed by the fuel standard EN 590 for modern (petro)diesel engines. Catalyzed by a Pd/Ru system, RME undergoes isomerizing metathesis in a stream of ethylene gas, leading to a defined olefin, monoester, and diester blend. T...

The random matrix ensembles (RME) of quantum statistical Hamiltonian operators, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applied to following quantum statistical systems: nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum integrability with...

Since the late 1960s, a reform in mathematics education, which is currently known under name Realistic Mathematics Education (RME), has been taking place Netherlands. Characteristic for this approach to education that not seen as ready-made knowledge but an activity of learner. Although much written about big ideas and intentions RME, multiple RME-oriented textbooks have published, up now devel...

The random matrix ensembles (RME) of quantum statistical Hamiltonians, e.g. Gaussian random matrix ensembles (GRME) and Ginibre random matrix ensembles (Ginibre RME), are applied in literature to following quantum statistical systems: molecular systems, nuclear systems, disordered materials, random Ising spin systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Me...