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？
A short video on autism for the general public. 近期，我們經常會聽到有關自閉症的案例， 知道自閉症對於患者及家人都會帶來很大的影響和困擾，究竟什麼是自閉症？(0:45) 有什麼病癥會與自閉症會同時出現？(1:21) 自閉症對於語言有影響嗎？(3:06) 如何可以及早發現自閉症傾向？(4:10) 有沒有藥物可以治療自閉症？(5:20) 對於高功能自閉症，大家也有不同的迷思 (2:24)，一起聽聽專家的解說吧！
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.