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A rapidly expanding research area involves the development of routes to shape programmable three-dimensional (3D) structures with feature sizes in the mesoscopic range (that is, between tens of nanometres and hundreds of micrometres). A goal is to establish methods to control the properties of materials systems and the function of devices, through not only static architectures, but also morphable structures and shape-shifting processes. Soft matter equipped with responsive components can switch between designed shapes, but cannot support the types of dynamic morphing capabilities needed to reproduce continuous shape-shifting processes of interest for many applications. Challenges lie in the establishment of 3D assembly/fabrication techniques compatible with wide classes of materials and 3D geometries, and schemes to program target shapes after fabrication.
In this talk, Prof. HUANG Yonggang will introduce a mechanics-guided assembly approach that exploits controlled buckling for constructing complex 3D micro/nanostructures from patterned two-dimensional (2D) micro/nanoscale precursors that can be easily formed using established semiconductor technologies. This approach applies to a very broad set of materials (e.g., semiconductors, polymers, metals, and ceramics) and even their heterogeneous integration, over a wide range of length scales (e.g., from 100 nm to 10 cm). To allow realisation of 3D mesostructures that are capable of qualitative shape reconfiguration, Prof. HUANG devises a loading-path controlled strategy that relies on elastomer platforms deformed in different time sequences to elastically alter the 3D geometries of supported mesostructures via nonlinear buckling. Prof. HUANG will also introduce a recent work on shape programmable soft surface, constructed from a matrix of filamentary metal traces, driven by programmable, distributed electromagnetic forces that follow from the passage of electrical currents in the presence of a static magnetic field. Under the guidance of a mechanics model-based strategy to solve the inverse problem, the surface can morph into a wide range of 3D target shapes and shape-shifting processes. The compatibility of these approaches with the state-of-the-art fabrication/processing techniques, along with the versatile capabilities, allow transformation of diverse existing 2D microsystems into complex configurations, providing unusual design options in the development of novel functional devices.
Event date: 08/08/2024
Speaker: Prof. HUANG Yonggang (Northwestern University)
Hosted by: PolyU Academy for Interdisciplinary Research
- Keywords:
- Buckling (Mechanics) Materials science Elastomers Microstructure
- Resource Type:
- Video
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Video
The seminar commenced with a welcome speech and speaker introduction by Prof. WANG Zuankai, Associate Vice President (Research and Innovation) of PolyU. This was followed by Prof. Leng’s presentation. He first provided a brief background about shape memory polymers (SMP), pointing out that these smart materials can reversibly change between permanent and temporary shapes in response to changes in external stimuli such as temperature. Next, he gave an overview of the researchers from different scientific research institutions and universities around the world who specialise in SMP research, and the types of SMP materials that HIT researchers focus on. He said that SMP are hard to actuate and their recovery strength and speed are low, and so relevant solutions to these challenges are important for the development of SMP composites (SMPC). Prof. Leng then gave examples demonstrating how SMPC can be prepared through actuation methods involving different stimuli such as heat, electricity, magnetism, radio frequency, solution/water, light, etc. He mentioned that SMPC can be used to prepare various structures for aerospace, smart manufacturing, photoelectric applications, microelectromechanical systems applications, and smart clothing. After that, Prof. Leng introduced 4D printing, a novel additive manufacturing process for producing printed objects that can adaptively change their configurations/properties in response to external stimuli. He mentioned that 4D printing is important for producing a range of SMPC-based materials for biomedical applications. To conclude, Prof. Leng said that SMP research is a fast-growing emerging research field. He anticipated that shape memory smart structures incorporated with sensors, actuators, and controllers, would be widely used in aerospace, civil aviation, automotive, energy and daily life.
Event date: 15/07/2024
Speaker: Prof. LENG Jinsong
Hosted by: PolyU Academy for Interdisciplinary Research
- Keywords:
- Shape memory polymers Polymeric composites Additive manufacturing Smart materials
- Resource Type:
- Video
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Video
The lecture commenced with a welcome speech and speaker introduction by Prof. CHEN Qingyan, Director of PAIR, followed by a presentation by Prof. Cui. He first shared his scientific journey by reminiscing about the old days when he moved abroad to develop an academic career after graduating in China and gradually became a highly successful scientist. Next, he explained the importance of interdisciplinary research and shared how the combination of medical science and engineering enables the development of health technologies such as imaging, keyhole surgery, in vitro diagnostics, in vitro fertilisation, etc. Prof. Cui emphasised that scientists are to “discover” and find out “how a thing happens” whereas engineers are to “create” and “make things happen”. He then gave some advice on how to do well in interdisciplinary research and shared some innovations in microbioreactor and point-of-care testing developed by him and his team which has achieved great success in research commercialisation and made significant contributions to drug discovery and public health. To conclude, Prof. Cui shared that scientific success is based on many factors, including team, facilities, timing, luck, etc., and encouraged the next generation of engineers and scientists to consider a career in biomedical engineering, an exciting and rewarding domain.
Following the lecture, a lively and insightful question-and-answer session was moderated by Ir Prof. ZHANG Ming, Director of the Research Institute for Sports Science and Technology (RISports), Head of the Department of Biomedical Engineering and Chair Professor of Biomechanics. The audience had fruitful discussions with Prof. Cui.
Event date: 23/04/2024
Speaker: Prof. Zhanfeng CUI (University of Oxford)
Hosted by: PolyU Academy for Interdisciplinary Research
- Keywords:
- Interdisciplinary research Interdisciplinary approach in education
- Resource Type:
- Video
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Video
The lecture commenced with a welcome speech and speaker introduction by Prof. WANG Zuankai, Associate Vice President (Research and Innovation). In his presentation, Prof. Chen first gave a brief introduction to the United Nations’ 17 Sustainable Development Goals (SDGs) as well as the SDG monitoring practices in Mainland China. He pointed out that the Nation has adopted the high quality sustainable development concept, which emphasises harmonising the social, economic and environmental aspects in national development. Next, he elaborated on a pilot project that he led to measure Deqing County’s progress towards SDGs using geospatial and statistical information. The project was selected by the UN Department of Economic and Social Affairs as one of the first 16 good SDGs’ practices in 2020. After that, Prof. Chen shared that the achievement of sustainable development requires holistic and systematic research to build a digital governance system that can provide the basis for the scientific and orderly development of national territorial space. He also explained how territorial space sustainability studies can help unveil and analyse various patterns, such as the distributions of population, enterprises and public service facilities, and the relationships between them. To conclude, Prof. Chen introduced the national program on the development of the Realistic Geospatial Landscape Model (3dRGLm), which can generate digital description and representation of the real 3D geospatial spaces. This new geographic information system can support the Nation in achieving natural resources management and high quality sustainable development.
A question-and-answer session moderated by Prof. DING Xiaoli, Director of the Research Institute for Land and Space (RILS) and Prof. WENG Qihao, Associate Director of RILS, followed. The online and on-site audience engaged in a productive discussion with Prof. Chen.
Event date: 27/03/2024
Speaker: Prof. Jun CHEN (National Geomatics Center of China)
Hosted by: PolyU Academy for Interdisciplinary Research
- Keywords:
- Sustainable development Geospatial data China Sustainable Development Goals Geographic information systems
- Resource Type:
- Video
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Video
The lecture commenced with a warm welcome address by Prof. CHEN Qingyan, Director of PAIR, followed by a brief speaker introduction by Prof. WANG Zuankai, Associate Vice President (Research and Innovation) of PolyU. In his presentation, Prof. Yang highlighted that urgent need for tissue/organ biomanufacturing owing to the shortage of donation for organ transplantation. He pointed out some challenges in the in vitro manufacturing of tissues/organs, particularly in relation to accurate design, precise fabrication, and functional induction, which underscore the imperative need for new methods for tissue/organ manufacturing. Next, Prof. Yang outlined the development roadmap of biomanufacturing and shared specific examples demonstrating the research progress in 3D bioprinting. In concluding his presentation, Prof. Yang shared his insights on the future direction for biomanufacturing, as well as some significant accomplishments by him and his team at Zhejiang University in the field.
A question-and-answer session moderated by Prof. Wang was followed. Both the online and on-site audience had a fruitful discussion with Prof. Yang.
Event date: 2/1/2024
Speaker: Prof. Huayong Yang (Zhejiang University)
Moderator: Prof. Zuankai Wang (Hong Kong Polytechnic University)
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Biomedical Engineering and Biology
- Keywords:
- Biomedical engineering Tissue engineering Regenerative medicine Three-dimensional printing
- Resource Type:
- Video
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Video
Water shortage is one of the biggest challenges that humanity faces. Novel technologies to tackle the challenge of water scarcity are urgently needed. However, all the existing studies are based on bare fibers with diameter in the order of mm. This talk introduces a novel fog collection technology using microfibers fabricated by near-field electrospinning. The collection efficiency reaches a record high level. Systematic investigation reveals that the waterdrops are “visible” to fog droplets in the incoming air flow because of the relatively small size of the microfibers. Thus, the large waterdrops deflect the fog-carrying airflow to the satellite small waterdrops, which effectively intercept the fog droplets.
Event Date: 12/10/2023
Speaker: Prof. TAN Zhongchao (Founding Chair Professor, Vice Provost and Dean of Academic Affairs of the Eastern Institute of Technology in Ningbo, China)
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Environmental Sciences and Mechanical Engineering
- Keywords:
- Fog Hydrology Water harvesting Water-supply
- Resource Type:
- Video
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Video
In the presentation, Prof. Chan shared Singapore’s long-term energy plan and research focus, as well as a few major initiatives on hydrogen application. He then introduced turquoise hydrogen and the catalytic decomposition of methane for hydrogen production, followed by an overview of the research activities on hydrogen and fuel cells at NTU over the last 30 years.
Event Date: 13/6/2023
Speaker: Prof. CHAN Siew Hwa (Nanyang Technological University)
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Electrical Engineering
- Keywords:
- Clean energy Hydrogen as fuel
- Resource Type:
- Video
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Video
香港理工大學高等研究院於2023年4月21日成功舉辦以「綠色化工與分子篩催化」為題的公開講座(混合模式)。講座由中國工程院院士、中國石化上海石油化工研究院院長楊為民教授主講,吸引了來自亞洲、歐洲、北美10多個國家和地區的120多名現場及網上參加者。講座亦在嗶哩嗶哩、微博等多個社交媒體平台進行直播,在線觀看人數超過11,000人次。
講座由理大協理副校長(研究與創新)王鑽開教授以歡迎辭及講者介紹揭開序幕。楊教授介紹了其團隊在綠色化工領域的研究進展,包括基於分子篩催化材料的綠色化工技術開發與實踐,以及新型分子篩催化材料的應用,並分享了他對行業未來趨勢的展望。 隨後的問答環節由應用物理系客座教授曾適之教授主持,一眾參加者與楊教授進行了富有成果的交流。
- Subjects:
- Chemistry
- Keywords:
- Zeolites Catalysis Zeolite catalysts Green chemistry
- Resource Type:
- Video
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Video
In this lecture I consider the fundamental, challenging and largely unsolved problem of deriving rigorously the most popular kinetic equations, starting from the laws governing the dynamics of microscopic systems. I plan to present classical and recent results, discussing also some present perspectives.
Event date: 30/3/2023
Speaker: Prof. Mario Pulvirenti (University of Roma La Sapienza)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematical models Kinetic theory of gases -- Mathematical models
- Resource Type:
- Video
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Video
We investigate reversal and recirculation for the stationary Prandtl equations. Reversal describes the solution after the Goldstein singularity, and is characterized by regions in which u > O and u < 0. The classical point of view of regarding the Prandtl equations as an evolution equation in x completely breaks down since u changes sign. Instead, we view the problem as a quasilinear, mixed-type, free-boundary problem. This is a joint work with Sameer Iyer.
Event date: 14/3/2023
Speaker: Prof. Nader Masmoudi (New York University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Fluid dynamics -- Mathematical models
- Resource Type:
- Video
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Video
In the context of hyperbolic systems of balance laws with dissipative source manifesting relaxation, recent pr"Ogress will be reported in the program of passing to the limit, in 1he BV setting, as the relaxation lime tends to zero.
Event date: 16/2/2023
Speaker: Prof. Constantine Dafermos (Brown University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Equilibrium -- Mathematical models Relaxation Differential equations Hyperbolic
- Resource Type:
- Video
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Video
Models arising in biology are often written in terms of Ordinary Differential Equations. The celebrated paper of Kermack-McKendrick (19271, founding mathematical epidemiology, showed the necessity to include parameters in order to describe the state of the individuals, as time elapsed after infection. During the 70s, many mathematical studies were developed when equations are structured by age, size, more generally a physiological trait. The renewal, growth-fragmentation are the more standard equations. The talk will present structured equations, show that a universal generalized relative entropy structure is available in the linear case, which imposes relaxation to a steady state under non-degeneracy conditions. In the nonlinear cases, it might be that periodic solutions occur, which can be interpreted in biological terms, e.g., as network activity in the neuroscience. When the equations are conservation laws, a variant of the Monge-Kantorovich distance (called Fortet-Mourier distance) also gives a general non-expansion property of solutions.
Event date: 19/1/2023
Speaker: Prof. Benoît Perthame (Sorbonne University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Biology and Mathematics and Statistics
- Keywords:
- Biomathematics Equations
- Resource Type:
- Video
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Video
Universities conduct research for three reasons: to educate students, to contribute to society, and to understand the world. While society often holds a view of the scholar as a solitary and singular genius, in reality scholars today participate in a highly collaborative, worldwide search for shared understandings that stand the test of time and the scrutiny of others. The problems in the 21st century often demand effort by teams of researchers with resources at scale: laboratories and equipment, compute resources, and expert staffing. Working with faculty, students, and other stakeholders to identify the greatest opportunities and the resources needed to address them is both a privilege and a challenge for modern academic administrators. In this talk, I will share three examples: fostering collaborative proposal-writing; planning for shared capabilities in experimental facilities, data, and computation; and transforming academic structures.
Event date: 12/4/2023
Speaker: Prof. Kathryn Ann Moler
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Statistics and Research Methods
- Keywords:
- Research Science
- Resource Type:
- Video
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Video
More than one hundred years ago, Albert Einstein published his Theory of General Relativity (GR). One year later, Karl Schwarzschild solved the GR equations for a non-rotating, spherical mass distribution; if this mass is sufficiently compact, even light cannot escape from within the so-called event horizon, and there is a mass singularity at the center. The theoretical concept of a 'black hole' was born, and was refined in the next decades by work of Penrose, Wheeler, Kerr, Hawking and many others. First indirect evidence for the existence of such black holes in our Universe came from observations of compact X-ray binaries and distant luminous quasars. I will discuss the forty-year journey, which my colleagues and I have been undertaking to study the mass distribution in the Center of our Milky Way from ever more precise, long-term studies of the motions of gas and stars as test particles of the space time. These studies show the existence of a four million solar mass object, which must be a single massive black hole, beyond any reasonable doubt.
Event date: 09/02/2023
Speaker: Prof. Reinhard GENZEL
Hosted by: PolyU Academy for Interdisciplinary Research
- Subjects:
- Cosmology and Astronomy and Physics
- Keywords:
- Astrophysics Astronomy Deep space -- Milky Way Nobel Prize winners General relativity (Physics) Black holes (Astronomy)
- Resource Type:
- Video
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Courseware
This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
- Course related:
- AP10005 Physics I
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Courseware
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Video
In this lesson, we'll be looking at the cell cycle. This is the lifespan of a eukaryotic somatic cell. A somatic cell is any cell in the body of an organism, except for sex cells such as sperm and egg cells. The cell cycle describes the sequence of cell growth and division. A cell spends most of its life a state called interphase. Interphase has three phases, the G1, S, and G2 phases. Interphase is followed by cell division, which has one phase, the M phase. Together these four phases make up the entire cell cycle. G1 of interphase is sometimes called growth 1 or gap phase 1. In G1, a cell is busy growing and carrying out whatever function it's supposed to do. Note that some cells, such as muscle and nerve cells, exit the cell cycle after G1 because they do not divide again. A cell enters the S phase after it grows to the point where it's no longer able to function well and needs to divide. The S stands for synthesis, which means to make, because a copy of DNA is being made during this phase. Once DNA replication is complete, the cell enters the shortest and the last part of interphase called G2, also known as growth 2 or gap phase 2. Right now, it's enough to know that further preparations for cell division take place in the G2 phase. Now that interphase is over, the cell is ready for cell division, which happens in the M phase. The M phase has two events. The main one is mitosis, which is division of the cell's nucleus, followed by cytokinesis, a division of the cytoplasm. So, at the end of M phase, you have two daughter cells identical to each other and identical to the original cell. Let's review. The cell cycle describes the life cycle of an individual cell. It has four phases, three in interphase and one for cell division. Most cell growth and function happen during G1. The cell enters the S phase when it needs to divide. In this phase the cell replicates its DNA. Replication just means the cell makes a copy of its DNA. In G2, the cell undergoes further preparations for cell division. Finally, we have cell division in the M phase. The M phase consists of mitosis, which is nuclear division, and cytokinesis, or division of the cytoplasm. We'll explore the details of mitosis and cytokinesis separately
- Subjects:
- Biology
- Keywords:
- Cell cycle
- Resource Type:
- Video
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Video
Stanford Electrical Engineering Course on Convex Optimization.
- Course related:
- AMA4850 Optimization Methods
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematical optimization Convex functions
- Resource Type:
- Video
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Others
Welcome to the Coding Train with Daniel Shiffman! A community dedicated to learning creative coding with beginner-friendly tutorials and projects on YouTube and more.
- Subjects:
- Computing
- Keywords:
- Coding theory Computer programming
- Resource Type:
- Others
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Others
Linear programming, mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints. This technique has been useful for guiding quantitative decisions in business planning, in industrial engineering, and—to a lesser extent—in the social and physical sciences.
- Course related:
- AAE3009 Operations Research and Computational Analytics in Air Transport Operations
- Subjects:
- Mathematics and Statistics
- Keywords:
- Linear programming
- Resource Type:
- Others
-
Others
MyScope was developed by Microscopy Australia to provide an online learning environment for those who want to learn about microscopy. The platform provides insights into the fundamental science behind different microscopes, explores what can and cannot be measured by different systems and provides a realistic operating experience on high end microscopes.
We sincerely hope you find the website an enjoyable environment where you can explore the microscopy space and leave ready to undertake your own exciting experiments.
- Course related:
- CE620 Research Methods
- Subjects:
- Laboratory Techniques and Safety
- Keywords:
- Microscopy
- Resource Type:
- Others
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Others
Learn to code, design, and more—all on your own time
- Subjects:
- Computing
- Keywords:
- Coding theory Mobile apps Computer programming
- Resource Type:
- Others
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Courseware
This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include:
A complete set of Lecture Videos by Professor Gilbert Strang.
Summary Notes for all videos along with suggested readings in Prof. Strang’s textbook Linear Algebra.
Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor.
Problem Sets to do on your own with Solutions to check your answers against when you’re done.
A selection of Java® Demonstrations to illustrate key concepts.
A full set of Exams with Solutions, including review material to help you prepare.
- Course related:
- AMA1120 Basic Mathematics II
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Courseware
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Video
With calculus well behind us, it's time to enter the next major topic in any study of mathematics. Linear Algebra! The name doesn't sound very intimidating, but there are some pretty abstract concepts in this subject. Let's start nice and easy simply by learning about what this subject covers and some basic terminology.
- Course related:
- COMP4434 Big Data Analytics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Video
-
Others
In these comprehensive video courses, created by Santiago Basulto, you will learn the whole process of data analysis. You'll be reading data from multiple sources (CSV, SQL, Excel), process that data using NumPy and Pandas, and visualize it using Matplotlib and Seaborn, Additionally, we've included a thorough Jupyter Notebook course, and a quick Python reference to refresh your programming skills.
- Course related:
- AMA1600 Fundamentals of AI and Data Analytics and AMA1751 Linear Algebra
- Subjects:
- Mathematics and Statistics and Computing
- Keywords:
- Computer programming Computer science Python (Computer program language)
- Resource Type:
- Others
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MOOC
The Machine Learning Specialization is a foundational online program created in collaboration between DeepLearning.AI and Stanford Online. This beginner-friendly program will teach you the fundamentals of machine learning and how to use these techniques to build real-world AI applications.
This Specialization is taught by Andrew Ng, an AI visionary who has led critical research at Stanford University and groundbreaking work at Google Brain, Baidu, and Landing.AI to advance the AI field.
This 3-course Specialization is an updated version of Andrew’s pioneering Machine Learning course, rated 4.9 out of 5 and taken by over 4.8 million learners since it launched in 2012.
It provides a broad introduction to modern machine learning, including supervised learning (multiple linear regression, logistic regression, neural networks, and decision trees), unsupervised learning (clustering, dimensionality reduction, recommender systems), and some of the best practices used in Silicon Valley for artificial intelligence and machine learning innovation (evaluating and tuning models, taking a data-centric approach to improving performance, and more.) By the end of this Specialization, you will have mastered key concepts and gained the practical know-how to quickly and powerfully apply machine learning to challenging real-world problems. If you’re looking to break into AI or build a career in machine learning, the new Machine Learning Specialization is the best place to start.
- Course related:
- AAE5103 Artificial Intelligence in Aviation Industry
- Subjects:
- Computing
- Keywords:
- Machine learning Artificial intelligence
- Resource Type:
- MOOC
-
Others
All resources and notes from the Complete Web Developer in 2022: Zero to Mastery course
- Course related:
- COMP3421 Web Application Design and Development, LGT3109 Introduction to Coding for Business with Python, COMP3211 Software Engineering, and COMP1001 Problem Solving Methodology in Information Technology
- Subjects:
- Computing
- Keywords:
- Web sites -- Design Web site development
- Resource Type:
- Others
-
Others
Kaggle offers a no-setup, customizable, Jupyter Notebooks environment. Access GPUs at no cost to you and a huge repository of community published data & code. Inside Kaggle you’ll find all the code & data you need to do your data science work. Use over 50,000 public datasets and 400,000 public notebooks to conquer any analysis in no time.
- Subjects:
- Computing
- Keywords:
- Machine learning Artificial intelligence Big data
- Resource Type:
- Others
-
Others
We offer mathematics in an enjoyable and easy-to-learn manner, because we believe that mathematics is fun.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics
- Resource Type:
- Others
-
Video
Lecture videos from Gilbert Strang's course on Linear Algebra at MIT.
- Course related:
- AMA1120 Basic Mathematics II - Calculus and Linear Algebra
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebras Linear
- Resource Type:
- Video
-
Video
This course is an introduction to game theory and strategic thinking. Ideas such as dominance, backward induction, Nash equilibrium, evolutionary stability, commitment, credibility, asymmetric information, adverse selection, and signaling are discussed and applied to games played in class and to examples drawn from economics, politics, the movies, and elsewhere.
- Subjects:
- Mathematics and Statistics and Economics
- Keywords:
- Game theory
- Resource Type:
- Video
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Video
Before the advent of computers around 1950, optimization centered either on small-dimensional problems solved by looking at zeroes of first derivatives and signs of second derivatives, or on infinite-dimensional problems about curves and surfaces. In both cases, "variations" were employed to understand how a local solution might be characterized. Computers changed the picture by opening the possibility of solving large-scale problems involving inequalities, instead of only equations. Inequalities had to be recognized as important because the decisions to be optimized were constrained by the need to respect many upper or lower bounds on their feasibility. A new kind of mathematical analysis, beyond traditional calculus, had to be developed to address these needs. It built first on appealing to the convexity of sets and functions, but went on to amazingly broad and successful concepts of variational geometry, subgradients, subderivatives, and variational convergence beyond just that. This talk will explain these revolutionary developments and why there were essential.
Event date: 1/11/2022
Speaker: Prof. Terry Rockafellar (University of Washington)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex functions Convex sets Mathematical optimization Computer science -- Mathematics
- Resource Type:
- Video
-
Video
Adaptive computation is of great importance in numerical simulations. The ideas for adaptive computations can be dated back to adaptive finite element methods in 1970s. In this talk, we shall first review some recent development for adaptive methods with some application. Then, we will propose a deep adaptive sampling method for solving PDEs where deep neural networks are utilized to approximate the solutions. In particular, we propose the failure informed PINNs (FI-PINNs), which can adaptively refine the training set with the goal of reducing the failure probability. Compared with the neural network approximation obtained with uniformly distributed collocation points, the proposed algorithms can significantly improve the accuracy, especially for low regularity and high-dimensional problems.
Event date: 18/10/2022
Speaker: Prof. Tao Tang (Beijing Normal University-Hong Kong Baptist University United International College)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Sampling (Statistics) Differential equations Partial -- Numerical solutions Mathematical models Adaptive computing systems
- Resource Type:
- Video
-
MOOC
Operations management deals with operational planning and control issues, and is needed in all sectors of the society. One of the challenges to operations manager is how to make use of the available resources in the best way for meeting a certain objective. Quantitative approaches are inevitably needed in tackling many of such problems. Operations Research (OR) deals with problem formulation and application of analytical methods to assist in decision-making of operational problems in planning and control. The techniques of OR are useful quantitative tools to assist operations managers, and has a wide applicability in engineering, manufacturing, construction, financial and various service sectors. Operations Research is an applied mathematics subject and is also a course in many engineering and management programmes. This course is designed for both students learning OR and learners who are practitioners in their respective professionals. The mathematical procedures for the OR techniques are introduced in details in the examples provided in the course. This helps learners to master the methodology and the techniques and apply them to achieve their goals through active learning. This course introduces two prominent OR techniques and their extended topics. The Simplex Method for Linear Programming (LP) has been considered one of the top 10 algorithms of the 20th century. LP is an optimization technique for solving problems such as finding the optimal product mix, production plan, and shipment allocation, in order to maximize the profir or minimize the cost. The Critical Path Method (CPM) is a popular technique employed by project managers in scheduling project activities. Some extended topics of CPM are also introduced to deal with certain special situations in project management. In reality, many systems operate under stochastic environment and the operational problems cannot be solved by the known analytical methods. To this end, the simulation approach is introduced in the last chapter of this course. Simulation is a powerful technique for tackling OR problems under such situations.
- Subjects:
- Statistics and Research Methods
- Keywords:
- Operations research
- Resource Type:
- MOOC
-
Video
Convex Matrix Optimization (MOP) arises in a wide variety of applications. The last three decades have seen dramatic advances in the theory and practice of matrix optimization because of its extremely powerful modeling capability. In particular, semidefinite programming (SP) and its generalizations have been widely used to model problems in applications such as combinatorial and polynomial optimization, covariance matrix estimation, matrix completion and sensor network localization. The first part of the talk will describe the primal-dual interior-point methods (IPMs) implemented in SDPT3 for solving medium scale SP, followed by inexact IPMs (with linear systems solved by iterative solvers) for large scale SDP and discussions on their inherent limitations. The second part will present algorithmic advances for solving large scale SDP based on the proximal-point or augmented Lagrangian framework In particular, we describe the design and implementation of an augmented Lagrangian based method (called SDPNAL+) for solving SDP problems with large number of linear constraints. The last part of the talk will focus on recent advances on using a combination of local search methods and convex lifting to solve low-rank factorization models of SP problems.
Event date: 11/10/2022
Speaker: Prof. Kim-Chuan Toh (National University of Singapore)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex programming Semidefinite programming
- Resource Type:
- Video
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Video
We introduce a Dimension-Reduced Second-Order Method (DRSOM) for convex and nonconvex (unconstrained) optimization. Under a trust-region-like framework, our method preserves the convergence of the second-order method while using only Hessian-vector products in two directions. Moreover; the computational overhead remains comparable to the first-order such as the gradient descent method. We show that the method has a local super-linear convergence and a global convergence rate of 0(∈-3/2) to satisfy the first-order and second-order conditions under a commonly used approximated Hessian assumption. We further show that this assumption can be removed if we perform one step of the Krylov subspace method at the end of the algorithm, which makes DRSOM the first first-order-type algorithm to achieve this complexity bound. The applicability and performance of DRSOM are exhibited by various computational experiments in logistic regression, L2-Lp minimization, sensor network localization, neural network training, and policy optimization in reinforcement learning. For neural networks, our preliminary implementation seems to gain computational advantages in terms of training accuracy and iteration complexity over state-of-the-art first-order methods including SGD and ADAM. For policy optimization, our experiments show that DRSOM compares favorably with popular policy gradient methods in terms of the effectiveness and robustness.
Event date: 19/09/2022
Speaker: Prof. Yinyu Ye (Stanford University)
Hosted by: Department of Applied Mathematics
- Subjects:
- Mathematics and Statistics
- Keywords:
- Convex programming Nonconvex programming Mathematical optimization
- Resource Type:
- Video
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Video
This mini lecture gives an overview on the principles underlying food spoilage and introduces different unit operations of food processing.
- Subjects:
- Food Science
- Keywords:
- Food industry trade Processed foods Food science
- Resource Type:
- Video
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Video
An online lecture on the topic of "Ultrasound: Application in Food Science and Technology". The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Food Science
- Keywords:
- Ultrasonic imaging Food science
- Resource Type:
- Video
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Video
An online lecture on the topic of "Chemical Reaction in Atmosphere".The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Environmental Sciences
- Keywords:
- Environmental chemistry Atmospheric chemistry
- Resource Type:
- Video
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Video
This mini-lecture discusses the science of global warming, impact of greenhouse gases (GHGs) emission to life on earth, and the mitigation strategies for climate change. The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Chemistry and Environmental Sciences
- Keywords:
- Greenhouse gases Global warming
- Resource Type:
- Video
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Video
This mini-lecture introduces the future battery. The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Physics and Chemistry
- Keywords:
- Storage batteries
- Resource Type:
- Video
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Video
This mini-lecture on the topic of "Tailoring The Smallest Machinery into Future Robotic Systems". The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Nanotechnology
- Keywords:
- Robotics Robots -- Design construction Nanotechnology
- Resource Type:
- Video
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Video
This mini-lecture introduces different types of microorganisms that are commonly found in food. The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Food Science
- Keywords:
- Bacteria Foodborne diseases -- Microbiology
- Resource Type:
- Video
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Video
This mini-lecture focuses on basic analytical chemistry and the science behind Crime Scene Investigation (CSI). The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Chemistry
- Keywords:
- Forensic sciences Analytical chemistry Crime laboratories
- Resource Type:
- Video
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Video
This mini-lecture gives an overview on how scientists have applied biotechnology techniques to develop medical treatment and food production through the manipulation of DNA. The Faculty of Applied Science and Textiles (FAST) and the Institute of Textiles & Clothing (ITC) organized the mini-lecture series for more than three years. The lectures aim to enrich students' knowledge in creative perspectives and arouse their interest in Sciences, Fashion and Textiles. In view of the unpredictable development of the COVID-19 pandemic, the upcoming mini-lecture Series will be switched from face-to-face mode to online mode.
- Subjects:
- Biology
- Keywords:
- Biotechnology Genetic engineering DNA
- Resource Type:
- Video
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Video
In this video, it covers the topic of (1).2D layered transition metal dichalcogenides; (2) Theoretical study on opto-electronic properties of 2D materials; and (3) Molecularly thin 2D quantum ruddlesden-popper perovskites.FAST is organizing the Research at FAST Seminar Series 2021/22 in the coming months to explore collaboration opportunities within PolyU community. The series also serve as a platform for colleagues to get to know FAST researchers.
- Subjects:
- Electronic Engineering and Materials Science
- Keywords:
- Two-dimensional materials Quantum chemistry
- Resource Type:
- Video
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Video
An online lecture on the topic of "What is Microgravity? Discovering Interesting Phenomena in Microgravity".This lecture of “Science World: Exploring Space to Benefit Mankind” Education Programme in the 2021/22 school year for secondary students, which aims to cultivate the interest of local youth in space science and elevate their enthusiasm for participating in the development of space technology.
- Subjects:
- Physics and Aeronautical and Aviation Engineering
- Keywords:
- Gravity Reduced gravity environments
- Resource Type:
- Video
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Video
An online lecture on the topic of "The Magic of Light".This lecture is suitable for secondary school and university students as well as the general public.
- Subjects:
- Physics
- Keywords:
- Light Reflection (Optics)
- Resource Type:
- Video
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Video
Dr. Bustamante begins his talk by explaining why one would wish to study biochemical reactions at the level of a single molecule. He explains that many processes within the cell are carried out by very few molecules. By studying single molecules, it is possible to obtain details about the mechanism of a reaction that cannot be ascertained by studying a population of molecules. Bustamante goes on to describe the technique of optical tweezers and how it can be used to manipulate single molecules. His lab has successfully used this method to follow DNA transcription one molecule at a time and RNA translation one codon at a time. In both cases, single molecule studies provided detailed information about complex biochemical processes.
- Subjects:
- Biochemistry
- Keywords:
- Biomolecules Molecular biology
- Resource Type:
- Video
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Video
Synthetic biology can be used in industrial biotechnology to engineer metabolic pathways to create high-value chemicals using model microorganisms such as yeast. During the Synthetic Biology in Action course, participants engineered yeast to produce beta-caretone for industrial biotechnology purposes. In this talk, they describe the steps they took to engineer an existing yeast pathway to produce the new chemical. These steps include modeling the metabolic pathway outputs, DNA design, amplification, and assembly, and analysis of the final result.
- Subjects:
- Electronic and Information Engineering, Biochemistry, and Biology
- Keywords:
- Synthetic biology Biochemistry Yeast fungi -- Biotechnology
- Resource Type:
- Video
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Video
Inventor, entrepreneur and visionary Ray Kurzweil explains in abundant, grounded detail why, by the 2020s, we will have reverse-engineered the human brain and nanobots will be operating your consciousness.
- Subjects:
- Technology
- Keywords:
- Technological innovations Bioengineering Information Technology
- Resource Type:
- Video