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.
Have you ever come across times when you get particularly nervous, say during a presentation, you find it extra hard to speak smoothly? Most of us may stop at times when we talk, so how do we differentiate between Normal Dysfluency and Stuttering? Are kids struggling with words due to language ability or are they stuttering? Will they naturally outgrow stuttering? How do speech therapists help adults and children who stutter? 大家有否試過在某些時間特別緊張，例如在發佈會中，你覺得難以流暢地說話? 其實每一個人說話時也會有停頓的時候，到底我們如何分辨「口吃」和正常的不流暢呢？ 孩子到底是口吃還是因語言能力較弱而在找字呢？是否長大後自然會沒有口吃的問題？ 言語治療師可以如何幫助受口吃困擾的小孩和成人呢？
What happens when technology knows more about us than we do? Poppy Crum studies how we express emotions -- and she suggests the end of the poker face is near, as new tech makes it easy to see the signals that give away how we're feeling. In a talk and demo, she shows how "empathetic technology" can read physical signals like body temperature and the chemical composition of our breath to inform on our emotional state. For better or for worse. "If we recognize the power of becoming technological empaths, we get this opportunity where technology can help us bridge the emotional and cognitive divide," Crum says.
Can technology make people safer from threats like violent extremism, censorship and persecution? In this illuminating talk, technologist Yasmin Green details programs pioneered at Jigsaw (a unit within Alphabet Inc., the collection of companies that also includes Google) to counter radicalization and online harassment -- including a project that could give commenters real-time feedback about how their words might land, which has already increased spaces for dialogue. "If we ever thought that we could build an internet insulated from the dark side of humanity, we were wrong," Green says. "We have to throw our entire selves into building solutions that are as human as the problems they aim to solve."
Tech that can decode your brain activity and reveal what you're thinking and feeling is on the horizon, says legal scholar and ethicist Nita Farahany. What will it mean for our already violated sense of privacy? In a cautionary talk, Farahany warns of a society where people are arrested for merely thinking about committing a crime (like in "Minority Report") and private interests sell our brain data -- and makes the case for a right to cognitive liberty that protects our freedom of thought and self-determination.
How do we make sense of a world that doesn't? By looking in unexpected places, says mathematician Eugenia Cheng. She explains how applying concepts from abstract mathematics to daily life can lead us to a deeper understanding of things like the root of anger and the function of privilege. Learn more about how this surprising tool can help us to empathize with each other.
In this engaging talk, high school math teacher and YouTube star Eddie Woo shares his passion for mathematics, calling it an extra sense that we can all access. Using real-world examples of geometry, he encourages everyone to seek out the patterns around them for "a whole new way to see the world."
What would a sustainable, universally beneficial economy look like? "Like a doughnut," says Oxford economist Kate Raworth. In a stellar, eye-opening talk, she explains how we can move countries out of the hole -- where people are falling short on life's essentials -- and create regenerative, distributive economies that work within the planet's ecological limits.
Stephen Trzeciak was at the top of his game as a research scientist until an unexpected question from his 12-year-old son transformed his life's work. "What is the most pressing problem of our time? Do we really know? And what would happen if we actually did?" In this talk, Trzeciak discusses the erosion of compassion in healthcare, and proposes a new methodology: "compassionomics."
We may not be as deeply divided as we think -- at least when it comes to health, says Rebecca Onie. In a talk that cuts through the noise, Onie shares research that shows how, even across economic, political and racial divides, Americans agree on what they need to live good lives -- and asks both health care providers and patients to focus on what makes us healthy, not what makes us angry.