Moments with Laplace
This is a quick note to mention a connection between two recent posts, namely today’s post about moments and post from a few days ago about the Laplace transform. Let f(t) be a function on [0, ∞) and F(s) be the Laplace transform of f(t). Then the nth moment of f, is
Read moreChris’ Corner: Lists
Sometimes a good ol’ list is what we need. I know, I know, this is forever true. But as my friend Dave is wont to say: eliminate nuance. The world doesn’t need nuance on if you should label your inputs by matching the for attribute of the label with the
Read moreThe impossible puzzle
It’s fascinating that there’s such a thing as the World Jigsaw Puzzle Championship. The winning team of the two-person thousand-piece puzzle round can assemble a Ravensburger puzzle in less than an hour—that’s about 3 -1/2 seconds per piece. It makes you wonder, how could you measure the hardness of a
Read moreResearch roadmap update: November 2024
An update to the research that the User Experience team is running over the next quarter.
Read moreWhen do moments determine a function?
The use of the word “moment” in mathematics is related to its use in physics, as in moment arm or moment of inertia. For a non-negative integer n, the nth moment of a function f is the integral of xn over the function’s domain. Uniqueness If two continuous functions f
Read moreFloating point: Everything old is new again
In the early days of computing hardware (and actually before) mathematicians put a lot of effort into understanding and mitigating the limitations of floating point arithmetic. They would analyze mundane tasks such as adding a list of numbers and think carefully about the best way to carry out such tasks
Read moreNavigating bias in the AI era: A conversation with Dr. Clementine Collett
From gender stereotypes, to gravitating towards people like yourself, to overvaluing first impressions, humans undoubtedly have bias. These biases can have major impacts on hiring at your organization and hinder your ability to hire the right people with the right skills for the job. To combat this, many companies have
Read moreHow a creator of React is rethinking IDEs
Tom Occhino, now Chief Product Officer at Vercel, tells Ben about how he contributed to the development of React at Facebook and the contentious decision to make React open-source. They also talk about what community feedback has been like on Next.js 15, Vercel’s GenAI web development tool, and how Vercel
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