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課程簡介:微分表切線斜率,積分表曲線下圍出的面積,兩截然不同的東西透過微積分基本定理連結在一起。
- Course related:
- AMA1007 Calculus and Linear Algebra
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus
- Resource Type:
- Video
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Video
This video explain the concept of Celestial coordinate system.
- Course related:
- LSGI2224 Geo-Referencing System
- Subjects:
- Cosmology and Astronomy
- Keywords:
- Celestial mechanics Orbital mechanics
- Resource Type:
- Video
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Video
Section III Wave Motion 3.1.2 Properties of Waves Diffraction
- Course related:
- AP10006 Physics II
- Subjects:
- Physics
- Keywords:
- Physical sciences Sound-waves Diffraction
- Resource Type:
- Video
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Video
Hidden truths permeate our world; they're inaccessible to our senses, but math allows us to go beyond our intuition to uncover their mysteries. In this survey of mathematical breakthroughs, Fields Medal winner Cédric Villani speaks to the thrill of discovery and details the sometimes perplexing life of a mathematician. "Beautiful mathematical explanations are not only for our pleasure," he says. "They change our vision of the world."
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics
- 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
Physics and marketing don't seem to have much in common, but Dan Cobley is passionate about both. He brings these unlikely bedfellows together using Newton's second law, Heisenberg's uncertainty principle, the scientific method and the second law of thermodynamics to explain the fundamental theories of branding.
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Video
All over the planet, giant telescopes and detectors are looking (and listening) for clues to the workings of the universe. At the INK Conference, science writer Anil Ananthaswamy tours us around these amazing installations, taking us to some of the most remote and silent places on Earth.
- Subjects:
- Physics and Cosmology and Astronomy
- Keywords:
- Astrophysics -- Research Dark matter (Astronomy)
- Resource Type:
- Video
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Video
Learners read a description of torque and study the factors that cause its magnitude to change.
- Subjects:
- Physics
- Keywords:
- Torque -- Measurement
- Resource Type:
- Video
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Video
"We've been promised a future of chrome -- but what if the future is fleshy?" asks biological designer Christina Agapakis. In this awe-inspiring talk, Agapakis details her work in synthetic biology -- a multidisciplinary area of research that pokes holes in the line between what's natural and artificial -- and shares how breaking down the boundaries between science, society, nature and technology can lead us to imagine different possible futures.
- Subjects:
- Technology and Biology
- Keywords:
- Synthetic biology Sci9ence -- Social aspects
- Resource Type:
- Video
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Video
The fruits and vegetables we buy from the grocery story have been bred to grow bigger and faster — but at the cost of flavor and nutrition, says John C. Trimble, co-founder of Foodscaping Utah. Instead of wasting precious water to maintain the grass in our yards, he suggests we "foodscape" them instead. Not only will our produce taste better, but they'll be grown as locally as possible.
- Subjects:
- Food Science
- Keywords:
- Vegetable gardening Horticulture
- Resource Type:
- Video
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Video
In this screencast, you'll observe two vehicles moving across the screen at different rates then describe the motion. Additionally, you'll select the corresponding graphs of distance vs. time, velocity vs. time, and acceleration vs. time for each vehicle.
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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
In this screencast, we review the positions of metals, metalloids, and nonmetals in the Periodic Table and the general characteristics of each.
- Subjects:
- Chemistry
- Keywords:
- Periodic table of the elements Chemical elements
- 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
You're on an airplane when you feel a sudden jolt. Outside your window nothing seems to be happening, yet the plane continues to rattle you and your fellow passengers as it passes through turbulent air in the atmosphere. What exactly is turbulence, and why does it happen? Tomás Chor dives into one of the prevailing mysteries of physics: the complex phenomenon of turbulence.
- Subjects:
- Physics
- Keywords:
- Turbulence Atmospheric turbulence
- Resource Type:
- Video
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Video
Mohamad Jebara loves mathematics -- but he's concerned that too many students grow up thinking that this beautiful, rewarding subject is difficult and boring. His company is experimenting with a bold idea: paying students for completing weekly math homework. He explores the ethics of this model and how it's helping students -- and why learning math is crucial in the era of fake news.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
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Video
Between you and the rest of the world lies an interface that makes up 16% of your physical weight. This is your skin, the largest organ in your body: laid out flat, it would cover close to 1.7 square metres of ground. But besides keeping your organs in, what is its purpose? Emma Bryce takes us into the integumentary system to find out. Lesson by Emma Bryce, animation by Augenblick Studios.
- Course related:
- BME1D04 Subject Title Skin-Care Technologies: Principles, Applications and Safety
- Subjects:
- Health Sciences and Human Biology
- Keywords:
- Body covering (Anatomy) Skin
- Resource Type:
- Video
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Video
Consider the following sentence: "This statement is false." Is that true? If so, that would make the statement false. But if it's false, then the statement is true. This sentence creates an unsolvable paradox; if it's not true and it's not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel's Incompleteness Theorem.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Incompleteness theorems Gödel's theorem
- Resource Type:
- Video
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Video
Masterpieces of microengineering, kinesins are motorized transport machines that move cellular materials to their correct locations in the cell so they can perform their functions. Kinesins have two feet, or "globular heads," that literally walk, one foot over another. Known as the "workhorses of the cell," kinesins can carry cargo many times their own size.
- Course related:
- ABCT2103 Cell Biology
- Subjects:
- Biology
- Keywords:
- Kinesin
- Resource Type:
- Video
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Video
In this screencast, learners examine the function and location of the motor neurons and the damage that can result when they are injured.
- Subjects:
- Health Sciences, Rehabilitation Science, and Biology
- Keywords:
- Motor neurons Brain -- Anatomy
- Resource Type:
- Video
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Video
Origami, which literally translates to "folding paper," is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding. The same simple concepts yield everything from a paper crane with about 20 steps, to a dragon with over 1,000 steps. Evan Zodl explores the ancient art form.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Origami -- Mathematics
- Resource Type:
- Video
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Video
Physicist Werner Heisenberg said, "When I meet God, I am going to ask him two questions: why relativity? And why turbulence? I really believe he will have an answer for the first." As difficult as turbulence is to understand mathematically, we can use art to depict the way it looks. Natalya St. Clair illustrates how Van Gogh captured this deep mystery of movement, fluid and light in his work.
- Subjects:
- Physics
- Keywords:
- Turbulence Starry night (Gogh Vincent van)
- Resource Type:
- Video
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Video
Hydrogen fuel cell cars and lithium-ion battery powered cars, which is more energy efficient and cost effective? This video shows you some facts from perspectives of production, storage of fuels, and infrastructure set up for charging.
- Subjects:
- Electrical Engineering, Chemistry, Environmental Engineering, and Transportation
- Keywords:
- Hydrogen cars Hydrogen as fuel Electric vehicles Fuel cells Hydrogen -- Storage
- Resource Type:
- Video
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Video
In this animated and interactive object, learners examine the properties of liquids, solids, and gases.
- Subjects:
- Chemistry
- Keywords:
- Matter -- Properties
- Resource Type:
- Video
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Video
As we move through the world, we have an innate sense of how things feel -- the sensations they produce on our skin and how our bodies orient to them. Can technology leverage this? In this fun, fascinating TED-Ed lesson, learn about the field of haptics, and how it could change everything from the way we shop online to how dentists learn the telltale feel of a cavity.
- Subjects:
- Electronic and Information Engineering and Biology
- Keywords:
- Haptic devices Touch
- Resource Type:
- Video
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Video
Physicist Geoffrey West has found that simple, mathematical laws govern the properties of cities -- that wealth, crime rate, walking speed and many other aspects of a city can be deduced from a single number: the city's population. In this mind-bending talk from TEDGlobal he shows how it works and how similar laws hold for organisms and corporations.
- Subjects:
- Environmental Engineering and Mathematics and Statistics
- Keywords:
- Cities towns -- Growth -- Econometric models Sustainable urban development
- Resource Type:
- Video
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Video
In this screencast, the learner identifies the kidney's internal and external structures.
- Subjects:
- Health Sciences and Biology
- Keywords:
- Kidneys -- Anatomy Kidneys -- Physiology
- Resource Type:
- Video
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Video
In this screencast, we'll view the 10 major bones of the skull and read a description of each bone.
- Subjects:
- Health Sciences and Biology
- Keywords:
- Head -- Anatomy Scalp
- Resource Type:
- Video
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Video
So you've heard about Global Climate Change, and how it's causing our sea level to rise, but do you know the real reasons why? Find out how the properties of water make it susceptible to changes in temperature, and how this can change the globe.
- Course related:
- LSGI1D03 Living on a Dynamic Earth
- Subjects:
- Environmental Sciences
- Keywords:
- Expansion (Heat) Sea level -- Environmental aspects Climatic changes
- Resource Type:
- Video
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Video
Speaking one month after the massive Gulf of Mexico oil spill, Lisa Margonelli shows how drilling moratoriums and executive ousters make for good theater, but distract us from the issue at heart: our unrestrained oil consumption. She shares her bold plan to wean America off oil -- by confronting consumers with its real cost.
- Subjects:
- Environmental Sciences
- Keywords:
- Fossil fuels -- Environmental aspects Petroleum industry trade -- Political aspects Petroleum
- Resource Type:
- Video
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Video
In the third act of "Swan Lake", the Black Swan pulls off a seemingly endless series of turns, bobbing up and down on one pointed foot and spinning around and around and around ... thirty-two times. How is this move — which is called a fouetté — even possible? Arleen Sugano unravels the physics of this famous ballet move.
- Subjects:
- Physics
- Keywords:
- Ballet dancing Physics
- Resource Type:
- Video
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Video
Whether or not you realize it, surfers are masters of complicated physics. The science of surfing begins as soon as a board first hits the water. Surfers may not be thinking about weather patterns in the Pacific, tectonic geology or fluid mechanics, but the art of catching the perfect wave relies on all these things and more. Nick Pizzo dives into the gnarly physics that make surfing possible.
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Video
Traveling is extremely arduous for microscopic sperm -- think of a human trying to swim in a pool made of...other humans. We can compare the journey of a sperm to that of a sperm whale by calculating the Reynolds number, a prediction of how fluid will behave, often fluctuating due to size of the swimmer. Aatish Bhatia explores the great (albeit tiny) sperm's journey.
- Subjects:
- Physics
- Keywords:
- Fluid dynamics Sperm whale Spermatozoa
- Resource Type:
- Video
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Video
Nearly every other year the transistors that power silicon computer chip shrink in size by half and double in performance, enabling our devices to become more mobile and accessible. But what happens when these components can't get any smaller? George Tulevski researches the unseen and untapped world of nanomaterials. His current work: developing chemical processes to compel billions of carbon nanotubes to assemble themselves into the patterns needed to build circuits, much the same way natural organisms build intricate, diverse and elegant structures. Could they hold the secret to the next generation of computing?
- Subjects:
- Nanotechnology and Electric and information Engineering
- Keywords:
- Nanoelectromechanical systems Nanotechnology
- Resource Type:
- Video
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Video
By analyzing raw data on violent incidents in the Iraq war and others, Sean Gourley and his team claim to have found a surprisingly strong mathematical relationship linking the fatality and frequency of attacks.
- Subjects:
- Mathematics and Statistics
- Keywords:
- War -- Mathematical models
- Resource Type:
- Video
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Video
Finding the right mate is no cakewalk -- but is it even mathematically likely? In a charming talk, mathematician Hannah Fry shows patterns in how we look for love, and gives her top three tips (verified by math!) for finding that special someone.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematical statistics Online dating
- Resource Type:
- Video
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Video
What can mathematics say about history? According to TED Fellow Jean-Baptiste Michel, quite a lot. From changes to language to the deadliness of wars, he shows how digitized history is just starting to reveal deep underlying patterns.
- Subjects:
- Mathematics and Statistics
- Keywords:
- History -- Mathematical models
- Resource Type:
- Video
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Video
Jim Simons was a mathematician and cryptographer who realized: the complex math he used to break codes could help explain patterns in the world of finance. Billions later, he's working to support the next generation of math teachers and scholars. TED's Chris Anderson sits down with Simons to talk about his extraordinary life in numbers.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Stocks -- Mathematical models Simons James Harris Mathematics -- Study teaching
- Resource Type:
- Video
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Video
Pascal's triangle, which at first may just look like a neatly arranged stack of numbers, is actually a mathematical treasure trove. But what about it has so intrigued mathematicians the world over? Wajdi Mohamed Ratemi shows how Pascal's triangle is full of patterns and secrets.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Pascal's triangle
- Resource Type:
- Video
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Video
Robert Lang is a pioneer of the newest kind of origami -- using math and engineering principles to fold mind-blowingly intricate designs that are beautiful and, sometimes, very useful.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Origami -- Mathematics
- 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
Ever wondered how your smartphone works? Take a journey down to the atomic level with scientist Cathy Mulzer, who reveals how almost every component of our high-powered devices exists thanks to chemists -- and not the Silicon Valley entrepreneurs that come to most people's minds. As she puts it: "Chemistry is the hero of electronic communications."
- Subjects:
- Chemistry
- Keywords:
- Photolithography Chemistry Smartphones Telecommunication
- Resource Type:
- Video
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Video
In this screencast, learners identify the parts of the cardiovascular system and examine blood flow.
- Subjects:
- Health Sciences and Human Biology
- Keywords:
- Heart Cardiovascular system
- Resource Type:
- Video
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Video
When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He'd published articles in international journals and his textbooks were required reading. Yet his application was firmly rejected for one simple reason: Nicolas Bourbaki did not exist. How is that possible? Pratik Aghor digs into the mystery.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- History Bourbaki Nicolas Functions
- Resource Type:
- Video
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Video
Physics doesn't just happen in a fancy lab -- it happens when you push a piece of buttered toast off the table or drop a couple of raisins in a fizzy drink or watch a coffee spill dry. Become a more interesting dinner guest as physicist Helen Czerski presents various concepts in physics you can become familiar with using everyday things found in your kitchen.
- Subjects:
- Physics
- Keywords:
- Physics -- Popular works
- Resource Type:
- Video
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Video
On March 17, 2014, a group of physicists announced a thrilling discovery: the “smoking gun” data for the idea of an inflationary universe, a clue to the Big Bang. For non-physicists, what does it mean? TED asked Allan Adams to briefly explain the results, in this improvised talk illustrated by Randall Munroe of xkcd.
- Subjects:
- Physics and Cosmology and Astronomy
- Keywords:
- Inflationary universe Gravitational waves
- Resource Type:
- Video
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Video
You stick cookie dough into an oven, and magically, you get a plate of warm, gooey cookies. Except it's not magic; it's science. Stephanie Warren explains via basic chemistry principles how the dough spreads out, at what temperature we can kill salmonella, and why that intoxicating smell wafting from your oven indicates that the cookies are ready for eating.
- Subjects:
- Chemistry and Food Science
- Keywords:
- Food -- Composition Food -- Analysis
- Resource Type:
- Video
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Video
Explore what passive transport diffusion is and how it moves water through a membrane.
- Subjects:
- Biology
- Keywords:
- Biological transport Cell -- Physiology
- Resource Type:
- Video
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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
Margaret Wertheim leads a project to re-create the creatures of the coral reefs using a crochet technique invented by a mathematician -- celebrating the amazements of the reef, and deep-diving into the hyperbolic geometry underlying coral creation.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Crocheting Coral reef ecology
- Resource Type:
- Video
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Video
Scott Rickard set out to engineer the ugliest possible piece of music, devoid of repetition, using a mathematical concept known as the Costas Array. In this surprisingly entertaining talk, he shares the math behind musical beauty ... and its opposite.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Repetition in music Mathematics Composition (Music)
- Resource Type:
- Video
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Video
In this screencast, learners examine the bones of the appendicular skeleton.
- Subjects:
- Health Sciences, Rehabilitation Science, and Biology
- Keywords:
- Human skeleton Human anatomy
- Resource Type:
- Video
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Video
We are two sisters on a mission to demystify science with humor and relevance by creating videos, GIFs, comics, and resources. Our content is focused on high school biology (Pinky is a former high school biology teacher), though we do receive comments that some of our content is useful for intro biology courses at the college level as well. We're for anyone wanting to learn biology! We frequently remind viewers that we cannot include all of the fascinating exceptions and details in a video under 10 minutes. We like to create memorable visuals to the content, but they're not scientific illustrations. Meaning, nitrogen and carbon don't tap dance. Our illustrated cell and molecule cartoons are definitely not to scale. DNA is usually a right-handed double helix (well...there are exceptions) and it doesn't have eyes...a face...or a top hat...
- Subjects:
- Health Sciences and Biology
- Keywords:
- Biology
- 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
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Video
In this wide-ranging, thought-provoking talk, Kevin Kelly muses on what technology means in our lives -- from its impact at the personal level to its place in the cosmos.
- Subjects:
- Technology
- Keywords:
- Technology -- Social aspects Technological innovations -- Social aspects
- Resource Type:
- Video
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Video
In our tech-driven, interconnected world, we've developed new ways and rules to court each other, but the fundamental principles of love have stayed the same, says anthropologist Helen Fisher. Our faster connections, she suggests, are actually leading to slower, more intimate relationships. At 12:20, couples therapist and relationship expert Esther Perel steps in to make an important point -- that while love itself stays the same, technology has affected the way we form and end relationships.
- Subjects:
- Anthropology, Sociology, and Technology
- Keywords:
- Love Courtship Communication technology Interpersonal communication
- Resource Type:
- Video
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Video
From rockets to stock markets, many of humanity's most thrilling creations are powered by math. So why do kids lose interest in it? Conrad Wolfram says the part of math we teach -- calculation by hand -- isn't just tedious, it's mostly irrelevant to real mathematics and the real world. He presents his radical idea: teaching kids math through computer programming.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- 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
Students read brief descriptions of atoms, molecules, elements, and compounds, and complete a matching exercise that pictures these particles and molecules as pieces of taffy.
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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
Statistics, Machine Learning and Data Science can sometimes seem like very scary topics, but since each technique is really just a combination of small and simple steps, they are actually quite simple. My goal with StatQuest is to break down the major methodologies into easy to understand pieces. That said, I don't dumb down the material. Instead, I build up your understanding so that you are smarter.
- Course related:
- HTI34016 Introduction to Clinical Research
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Statistics Mathematical analysis Data mining Machine learning
- Resource Type:
- Video
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Video
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
- Course related:
- AMA1110 Basic Mathematics I – Calculus and Probability & Statistics and BRE2031 Environmental Science
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential calculus
- Resource Type:
- Video
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Video
In this animated and interactive object, learners observe how two, three, or four groups of electrons around the central atom cause the shape of the molecule to be linear, trigonal planar, bent, tetrahedral, or pyramidal. Seven examples and eight interactive questions are provided.
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Video
In this lecture, we consider strategies for adversarial games such as chess. We discuss the minimax algorithm, and how alpha-beta pruning improves its efficiency. We then examine progressive deepening, which ensures that some answer is always available.
- Course related:
- COMP4431 Artificial Intelligence
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Artificial intelligence
- Resource Type:
- Video
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Video
Naming science as his chief inspiration, Mathieu Lehanneur shows a selection of his ingenious designs -- an interactive noise-neutralizing ball, an antibiotic course in one layered pill, asthma treatment that reminds kids to take it, a living air filter, a living-room fish farm and more.
- Keywords:
- Creative ability in science Creative ability in technology Inventions
- Resource Type:
- Video
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Video
In this screencast we are introduced to the lab equipment used to contain and dispense chemicals.
- Subjects:
- Laboratory Techniques and Safety and Chemistry
- Keywords:
- Chemical laboratories Laboratories
- Resource Type:
- Video
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Video
Every week, SciShow Psych digs into the science of...us! SciShow Psych is all about the human brain and how we humans interact with the world. Hosts Anthony Brown, Brit Garner, and Hank Green explain ground-breaking studies, contextualize psychology throughout history, and help us understand how we understand the world. For more science, check out SciShow and SciShow Space as well. And for young thinkers, visit SciShow Kids!
- Course related:
- ITC4206M Fashion Advertising and Promotion
- Subjects:
- Psychology
- Keywords:
- Psychology
- Resource Type:
- Video
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Video
Learners examine the meaning of theoretical yield, actual yield, and percent yield. They test their knowledge by solving two problems.
- Subjects:
- Chemistry
- Keywords:
- Chemical reactions
- 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
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
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
-
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
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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
-
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
-
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
-
Video
In this archival footage from BBC TV, celebrated physicist Richard Feynman explains what fire, magnets, rubber bands (and more) are like at the scale of the jiggling atoms they're made of. This accessible, enchanting conversation in physics reveals a teeming nano-world that's just plain fun to imagine.
- Subjects:
- Physics
- Keywords:
- Physics -- Popular works Atoms
- Resource Type:
- Video
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Video
Learners examine the method used to calculate the mass percent of an element in a compound. Three examples and one problem illustrate the method.
- Subjects:
- Chemistry
- Keywords:
- Chemistry -- Notation Chemical elements
- Resource Type:
- Video
-
Video
This video playlist covers the topic of: 1. PDE 1 | Introduction 2.PDE 2 | Three fundamental examples 3.PDE 3 | Transport equation: derivation 4.PDE 4 | Transport equation: general solution 5. PDE 5 | Method of characteristics 6. PDE 6 | Transport with decay and nonlinear transport 7.PDE 7 | Wave equation: intuition 8.PDE 8 | Wave equation: derivation 9.PDE 9 | Wave equation: general solution 10.PDE 10 | Wave equation: d'Alembert's formula 11.PDE 11 | Wave equation: d'Alembert examples 12.PDE 12 | Wave equation: characteristics 13.PDE 13 | Wave equation: separation of variables 14.FA 1 | Fourier series introduction 15.FA 2 | Computing Fourier series 16.PDE | Heat equation: intuition 17.PDE | Finite differences: introduction
- Course related:
- AMA3723 Further Mathematical Methods for Finance
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations Partial
- Resource Type:
- Video
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
Video
Learners conduct an experiment to illustrate how a greater number of particles in a "vessel" increases osmotic pressure.
- Subjects:
- Medical Laboratory Science and Biology
- Keywords:
- Cytology Osmoregulation
- Resource Type:
- Video
-
Video
Easy access to nutrients has contributed to the increase in obesity in the human population. But, what is obesity and why isn’t everybody fat? Dr. Stephen O’Rahilly provides a biomedical perspective of obesity, and evaluates which genes could potentially shift the balance towards obesity. As he explains, one becomes obese when the balance between energy intake and energy spent is shifted. Surprisingly, mutations that lead to obesity in humans aren’t in genes involved in metabolism and energy storage, but failure in satiety signals in the brain that result in people eating too much. The excess of energy intake over energy expenditure leads to obesity. What is the consequence of obesity in human health? Physically, obesity can result in lower mobility and sleeping disorders. But, in humans, the link between obesity and metabolic diseases isn’t straightforward. For example, not everyone that’s obese becomes insulin resistant. As O’Rahilly explains, the probability of an obese individual to have a metabolic disease is linked to the capacity of adipose tissue to store the extra fat. Mutations that decrease fat storage in adipose tissue increase the chance of metabolic diseases, like insulin resistance, even when the person is not obese.
- Subjects:
- Health Sciences and Biology
- Keywords:
- Obesity -- Genetic aspects
- Resource Type:
- Video
-
Video
In this learning activity you'll examine Newton's Third Law: for every action, there is an equal but opposite reaction.
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Video
In this learning activity you'll examine force, mass, and acceleration to understand this "Law of Acceleration."
- Subjects:
- Physics
- Keywords:
- Acceleration (Mechanics) Motion
- Resource Type:
- Video
-
Video
The learner views several animations to study Newton's First Law of Motion, also known as "The Law of Inertia."
- Subjects:
- Physics
- Keywords:
- Inertia (Mechanics)
- Resource Type:
- Video
-
Video
In this animated object, learners examine how the sensory, motor, mixed, and reflex nerves work in the human body.
- Subjects:
- Health Sciences and Human Biology
- Keywords:
- Neuroanatomy Perceptual-motor processes Reflexes
- Resource Type:
- Video
-
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
-
Video
This channel contains a complete list of physics videos, as well as hundreds of chemistry, astronomy, math, and mechanical engineering videos. The physics videos explain the fundamental concepts of physics with some easy to follow examples on how to solve physics problems. The chemistry videos cover all the basic topics of chemistry, the astronomy videos explain the wonders of Earth and our Universe, and the math videos cover many topics in algebra, trigonometry, pre-calculus, calculus and differential equations.
- Subjects:
- Chemistry, Mathematics and Statistics, Cosmology and Astronomy, Physics, Mechanical Engineering, and Electrical Engineering
- Keywords:
- Chemistry Astronomy Electrical engineering Physics Mathematics Mechanical engineering Kalman filtering
- Resource Type:
- Video
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Video
Throughout his life, Hrabowski has loved the intersection of math and language. The challenge of finding clear, simple language to explain complex math problems to others is part of what drove his decision to focus on teaching math. Hrabowski points out that math and statistics provide the tools for not only for engineers and scientists to do their work, but also for physicians, accountants, social scientists, business owners and even university administrators!
- Subjects:
- Mathematics and Statistics
- Keywords:
- Applied mathematics
- Resource Type:
- Video
-
Video
Unlock the mysteries and inner workings of the world through one of the most imaginative art forms ever -- mathematics -- with Roger Antonsen, as he explains how a slight change in perspective can reveal patterns, numbers and formulas as the gateways to empathy and understanding.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics
- Resource Type:
- Video
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Video
With humor and charm, mathematician Eduardo Sáenz de Cabezón answers a question that's wracked the brains of bored students the world over: What is math for? He shows the beauty of math as the backbone of science — and shows that theorems, not diamonds, are forever. In Spanish, with English subtitles.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics
- Resource Type:
- Video
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Video
Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. Dan Meyer shows classroom-tested math exercises that prompt students to stop and think.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
-
Video
Irina Kareva translates biology into mathematics and vice versa. She writes mathematical models that describe the dynamics of cancer, with the goal of developing new drugs that target tumors. "The power and beauty of mathematical modeling lies in the fact that it makes you formalize, in a very rigorous way, what we think we know," Kareva says. "It can help guide us to where we should keep looking, and where there may be a dead end." It all comes down to asking the right question and translating it to the right equation, and back.
- Subjects:
- Health Sciences and Mathematics and Statistics
- Keywords:
- Cancer -- Mathematical models Cancer cells -- Mathematical models
- Resource Type:
- Video
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