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Application of MATLAB in the teaching of probability theory and mathematical statistics
\"Probability theory and mathematical statistics\" is an important public compulsory course of arithmetical foundation. MATLAB software is introduced into the teaching process to make some abstract concepts and theorems expressed in the form of graphics to achieve visualization effect. This method makes it easy for students to understand, improve their learning enthusiasm and achieve twice the result with half the effort.
Journal Article
Van Hiele's Theory: Transforming And Gender Perspective of Student's Geometrical Thinking
The purpose of this study was to identify the level of geometrical thinking of junior high school students in Bantul District using the Van Hiele test. The research approach was descriptive qualitative. The research subjects were students in grades VII and VIII in 4 junior high schools in Bantul district. The supporting instruments in this study were tests consisting of 25 multiple choice questions developed by Usiskin. Data were analyzed descriptively and qualitatively through several basic statistics. The results showed that there were 59.15% of students at the visualization level, 8.62% of students at the analysis level, and 1.42% of students at the informal deduction level. While the remaining 30.81% is in the previsualization category. In addition to the above categories, there were several students whose geometric thinking level was in the transition level category. The number of students who meet the criteria for the pre-analysis level and pre informal deduction level was 9.33% and 2.72% respectively. While viewed from a gender perspective. In general, Van Hiele's geometrical thinking level of male and female respondents did not differ much but male respondents had the potential to increase their geometry thinking level more than female respondents.
Journal Article
The shift operators related to the Fourier cosine and sine transforms and visualization of their action
We consider the shift operators generalized by the convolutions for the Fourier cosine and sine transforms. Three out of four considered operators are not the generalized shift operator of the Levitan's type. The basic properties of the shift operators are presented. The GeoGebra applets have been created to visualize the actions of the shift operators.
Journal Article
Advances in real-time multispectral optoacoustic imaging and its applications
Optoacoustic imaging, or photoacoustic imaging, is insensitive to photon scattering within biological tissue and, unlike conventional optical imaging methods, makes high-resolution optical visualization deep within tissue possible. Recent advances in laser technology, detection strategies and inversion techniques have led to significant improvements in the capabilities of optoacoustic systems. A key empowering feature is the development of video-rate multispectral imaging in two and three dimensions, which offers fast, spectral differentiation of distinct photoabsorbing moieties. We review recent advances and capabilities in the technology and its corresponding emerging biological and clinical applications.
Journal Article
In situ real-time imaging of self-sorted supramolecular nanofibres
Self-sorted supramolecular nanofibres-a multicomponent system that consists of several types of fibre, each composed of distinct building units-play a crucial role in complex, well-organized systems with sophisticated functions, such as living cells. Designing and controlling self-sorting events in synthetic materials and understanding their structures and dynamics in detail are important elements in developing functional artificial systems. Here, we describe the in situ real-time imaging of self-sorted supramolecular nanofibre hydrogels consisting of a peptide gelator and an amphiphilic phosphate. The use of appropriate fluorescent probes enabled the visualization of self-sorted fibres entangled in two and three dimensions through confocal laser scanning microscopy and super-resolution imaging, with 80 nm resolution. In situ time-lapse imaging showed that the two types of fibre have different formation rates and that their respective physicochemical properties remain intact in the gel. Moreover, we directly visualized stochastic non-synchronous fibre formation and observed a cooperative mechanism.
Journal Article
Visualization of O-O peroxo-like dimers in high-capacity layered oxides for Li-ion batteries
Lithium-ion (Li-ion) batteries that rely on cationic redox reactions are the primary energy source for portable electronics. One pathway toward greater energy density is through the use of Li-rich layered oxides. The capacity of this class of materials (>270 milliampere hours per gram) has been shown to be nested in anionic redox reactions, which are thought to form peroxo-like species. However, the oxygen-oxygen (O-O) bonding pattern has not been observed in previous studies, nor has there been a satisfactory explanation for the irreversible changes that occur during first delithiation. By using Li₂IrO₃ as a model compound, we visualize the O-O dimers via transmission electron microscopy and neutron diffraction. Our findings establish the fundamental relation between the anionic redox process and the evolution of the O-O bonding in layered oxides.
Journal Article
Storytelling with data
Don't simply show your data—tell a story with it!Storytelling with Data teaches you the fundamentals of data visualization and how to communicate effectively with data. You'll discover the power of storytelling and the way to make data a pivotal point in your story. The lessons in this illuminative text are grounded in theory, but made accessible through numerous real-world examples—ready for immediate application to your next graph or presentation.Storytelling is not an inherent skill, especially when it comes to data visualization, and the tools at our disposal don't make it any easier. This book demonstrates how to go beyond conventional tools to reach the root of your data, and how to use your data to create an engaging, informative, compelling story. Specifically, you'll learn how to:Understand the importance of context and audienceDetermine the appropriate type of graph for your situationRecognize and eliminate the clutter clouding your informationDirect your audience's attention to the most important parts of your dataThink like a designer and utilize concepts of design in data visualizationLeverage the power of storytelling to help your message resonate with your audienceTogether, the lessons in this book will help you turn your data into high impact visual stories that stick with your audience. Rid your world of ineffective graphs, one exploding 3D pie chart at a time. There is a story in your data—Storytelling with Data will give you the skills and power to tell it!
eBook
Bayesian Optimization for Materials Design with Mixed Quantitative and Qualitative Variables
Although Bayesian Optimization (BO) has been employed for accelerating materials design in computational materials engineering, existing works are restricted to problems with quantitative variables. However, real designs of materials systems involve both qualitative and quantitative design variables representing material compositions, microstructure morphology, and processing conditions. For mixed-variable problems, existing Bayesian Optimization (BO) approaches represent qualitative factors by dummy variables first and then fit a standard Gaussian process (GP) model with numerical variables as the surrogate model. This approach is restrictive theoretically and fails to capture complex correlations between qualitative levels. We present in this paper the integration of a novel latent-variable (LV) approach for mixed-variable GP modeling with the BO framework for materials design. LVGP is a fundamentally different approach that maps qualitative design variables to underlying numerical LV in GP, which has strong physical justification. It provides flexible parameterization and representation of qualitative factors and shows superior modeling accuracy compared to the existing methods. We demonstrate our approach through testing with numerical examples and materials design examples. The chosen materials design examples represent two different scenarios, one on concurrent materials selection and microstructure optimization for optimizing the light absorption of a quasi-random solar cell, and another on combinatorial search of material constitutes for optimal Hybrid Organic-Inorganic Perovskite (HOIP) design. It is found that in all test examples the mapped LVs provide intuitive visualization and substantial insight into the nature and effects of the qualitative factors. Though materials designs are used as examples, the method presented is generic and can be utilized for other mixed variable design optimization problems that involve expensive physics-based simulations.
Journal Article