If something does a quantum jump, what causes it to decide doing so at a particular time and not another? It is expected that a continuous cause would have continuous effects.
This concern was raised immediately by Rutherford while reviewing the Bohr model in 1913 as mentioned in The Quantum Story by Jim Baggott (2011) page 32.
CSS flex by Ciro Santilli 40 Updated 2025-07-16
  • css/flex.html: illustrates basic flex usage, including:
  • flex-grow: if there's space left, this determines how much extra space will be given to each.
  • flex-basis: the size the items want to be. But if there isnt' enough space, this can be cut up.
    Note that the minimal space required by children of the flex children cannot be necessarily cut up, and might lead things to overflow out of the container.
  • flex-shrink: if there's space missing, this determines how much extra space will be removed from each flex-basis
Other examples include:
That example calculates and displays the final widths via JavaScript, making it easier to understand the calculations being done.
The more of their syntax gets merged into mainline Cascading Style Sheets, the better the world will be.
Sugar by Ciro Santilli 40 Updated 2025-07-16
We define a "sugar" as either of:because these are small carbohydrates, and they taste sweet to humans.
Fundação Estudar by Ciro Santilli 40 Updated 2025-07-16
Video 1.
What I learned in Harvard part 1 by Jorge Paulo Lemann (2012)
Source. Portuguese talk about his experiences. A bit bably, but has a few good comments:
  • You don't learn the Harvard experience, you absorb it.
  • Being amongst excellent people makes you learn what excelent people are like, just like only by tasting many different types of wine can you know what good wine is like.
    This one does have bias danger though. But detecting greatness, is as type of bias arguably.
Ciro Santilli studied there for a few years starting in 2007.
In retrospect, doing electrical engineering (and likey the other engineering degrees) felt like taking a trip to the 60s in the United States, due to both the subject matter, and how old the concrete buildings were!
This does not need to be a bad thing. It is in that era (and earlier) that much of the exciting foundations of the field were set, and there is great value in there is value in tutorials written by early pioneers of the field. Not that they were amazing at excting history lessons as they should be. But the course outline suggested that intent.
But that point of view must also be accompanied by the excitement of the great ongoing advances of technology (and impact they had in the past). And on that, they failed.
One day, one day, we will fix that.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact