In this paper we propose a new efficient interpolation tool, extremely suitable for large scattered data sets. The partition of unity method is used and performed by blending Radial Basis Functions ...(RBFs) as local approximants and using locally supported weight functions. In particular we present a new space-partitioning data structure based on a partition of the underlying generic domain in blocks. This approach allows us to examine only a reduced number of blocks in the search process of the nearest neighbour points, leading to an optimized searching routine. Complexity analysis and numerical experiments in two- and three-dimensional interpolation support our findings. Some applications to geometric modelling are also considered. Moreover, the associated software package written in Matlab is here discussed and made available to the scientific community.
Significance and peculiarity of the appearance and influence that Friedrich Hölderlin had with his poetic work, both on the whole thematic-motive structure of later poetry (indications of this turn ...were already present in theoretical form with Diderot, but completely deprived of their true poetic articulation until Lamartine), as well as the character of the philosophical foundation of the new dialectical reversal of thought, brought by German classical philosophy, are thematised in this paper as an organically consistent and continuous process within the framework of the indicated problem, from attempts to enter the world of Hellenism, as a fundamental source of creative unity of poetry and reality, thought and action, battle and truth, to the disappointment in the possibility of objectifying the poetic experience into a coherent basis for reconciling the contradictions of the then social and political situation, which was expressed in the existential gap between alienated everyday life and his spiritual essence, which, in the end, led to Hölderlin's insight into the futility of his own poetic testimony and the role of poetry as a harbinger of the oncoming deduction-out-of-the-oblivion of the being of the existent in its original unity.
Nonfullerene solar cells have increased their efficiencies up to 13%, yet quantum efficiencies are still limited to 80%. Here we report efficient nonfullerene solar cells with quantum efficiencies ...approaching unity. This is achieved with overlapping absorption bands of donor and acceptor that increases the photon absorption strength in the range from about 570 to 700 nm, thus, almost all incident photons are absorbed in the active layer. The charges generated are found to dissociate with negligible geminate recombination losses resulting in a short-circuit current density of 20 mA cm
along with open-circuit voltages >1 V, which is remarkable for a 1.6 eV bandgap system. Most importantly, the unique nano-morphology of the donor:acceptor blend results in a substantially improved stability under illumination. Understanding the efficient charge separation in nonfullerene acceptors can pave the way to robust and recombination-free organic solar cells.
Carbon quantum dots (CQDs) feature bright and tunable photoluminescence, solution processability, and low toxicity, showing great potential in optoelectronics. However, the large‐scale synthesis of ...CQDs with near‐unity photoluminescence quantum yield (PLQY) has not been achieved so far. In this study, we perform radical‐assisted synthesis of hexagon‐shaped CQDs (H‐CQDs) delivering near‐unity PLQY (96 %). Experimental and theoretical analyses revealed that the large vertically oriented transition dipole moment of H‐CQDs originating from high symmetry results in nearly 100 % PLQY. The H‐CQDs also exhibited a high electron mobility of up to 0.07 cm2 V−1 s−1. These properties enable the H‐CQD‐based light‐emitting diodes with a high external quantum efficiency of 4.6 % and a record maximum brightness of over 11 000 cd m−2. This study represents a significant advance that CQDs‐based electroluminescent device can be utilized for potential display and lighting applications.
We perform radical‐assisted synthesis of hexagon‐shaped carbon quantum dots (H‐CQDs) delivering near‐unity photoluminescence quantum yield as well as a high electron mobility of up to 0.07 cm2 V−1 s−1. The H‐CQD‐based light‐emitting diodes show a high external quantum efficiency of 4.6 % and a record maximum brightness of over 11 000 cd m−2.
Detector and event visualization are essential parts of the software used in high-energy physics (HEP) experiments. Modern visualization techniques and multimedia production platforms such as Unity ...provide impressive display effects and professional extensions for visualization in HEP experiments. In this study, a method for automatic detector description transformation is presented, which can convert the complicated HEP detector geometry from GDML in offline software to 3D modeling in Unity. The method was successfully applied in the BESIII experiment and can be further developed into applications such as event displays, data monitoring, or virtual reality. It has great potential in detector design, offline software development, physics analysis, and outreach for next-generation HEP experiments as well as applications in nuclear techniques for the industry.
We define Wiener amalgam spaces of (quasi)analytic ultradistributions whose local components belong to a general class of translation and modulation invariant Banach spaces of ultradistributions and ...their global components are either weighted Lp or weighted C0 spaces. We provide a discrete characterisation via so called uniformly concentrated partitions of unity. Finally, we study the complex interpolation method and we identify the strong duals for most of these Wiener amalgam spaces.
•Extends the applicability of boundary integral methods to inhomogeneous PDEs.•A simple to implement and efficient algorithm for numerical function extension.•The most computationally costly part can ...be precomputed and reused.•The extended function has compact support and user specified regularity.•Solution to the Poisson equation converges as a tenth order method to round off.
We introduce an efficient algorithm, called partition of unity extension or PUX, to construct an extension of desired regularity of a function given on a complex multiply connected domain in 2D. Function extension plays a fundamental role in extending the applicability of boundary integral methods to inhomogeneous partial differential equations with embedded domain techniques. Overlapping partitions are placed along the boundaries, and a local extension of the function is computed on each patch using smooth radial basis functions; a trivially parallel process. A partition of unity method blends the local extrapolations into a global one, where weight functions impose compact support. The regularity of the extended function can be controlled by the construction of the partition of unity function. We evaluate the performance of the PUX method in the context of solving the Poisson equation on multiply connected domains using a boundary integral method and a spectral solver. With a suitable choice of parameters the error converges as a tenth order method down to 10−14.
Salah satu permasalahan pembelajaran matematika yaitu anggapan siswa tentang pelajaran matematika yang menakutkan dan kurang menarik dalam kegiatan pembelajarannya sehingga mempengaruhi hasil belajar ...siswa. Salah satu upaya untuk mengatasi hal tersebut adalah penggunaan media pembelajaran yang menarik. Dalam penelitian ini, digunakan game edukasi matematika dengan memanfaatkan teknologi smartphone android sebagai sebagai media pembelajaran. Permasalahan utama yang diangkat dalam penelitian ini adalah (1) Bagaimana membuat game edukasi unsur dan sifat segi empat berbasis android? (2) Bagaimana hasil penerapan pada perangkat sebagai simulasi game edukasi unsur dan sifat segi empat berbasis android?. Dari permasalahan tersebut mendorong penulis untuk melakukan penelitian dengan membuat game edukasi unsur dan sifat segi empat berbasis android menggunakan unity 3D dengan menggunakan metode pengembangan aplikasi multimedia yang terdiri dari konsep, perancangan, pengumpulan bahan, pembuatan, pengujian dan distribusi. Pembuatan aplikasi menggunakan unity 3D, hasil dari penelitian ini adalah dihasilkannya game edukasi unsur dan sifat segi empat berbasis android menggunakan unity 3D sebagai media pembelajaran variatif yang dapat mebantu guru dalam mengajar.
The “metaverse” and non-fungible tokens (NFTs), though not necessarily “new” terms or technologies, have risen to mainstream prominence post-2020. This paper, based on survey data obtained from Unity ...Technologies, examines the metaverse, NFTs, and the future of development within the Unity engine from the perspective of current Unity users. Specifically, the paper examines how users define the metaverse, their goals in metaverse and NFT development, and their future questions and concerns concerning these concepts. This data is then used to place the metaverse and NFTs into broader historical, present, and future contexts. The paper ultimately argues: (1) the metaverse and NFTs follow previous historical trends in communication technology development, (2) development within Unity will continue to be split between game development and non-game development, and (3) arguments of the “newness,” “uniqueness,” or “future-facing” of the metaverse and NFTs help to obfuscate legitimate concerns about these technologies.
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