IDEs are absolutely essential for developing complex software.
The funny thing is that you don't notice this until someone shows it to you. But once you see it, there is not turning back, just like Steve Jobs customers don't know what they want quote.
Unfortunately, after the Fall of Eclipse (archive), the IDE landscape in 2019 is horrible and split between:
  • highly buggy but still feature rich Eclipse
  • many may many other feature lacking options using possibly more trendy and forward lasting implementations like Electron
  • awesome cross-platform proprietary JetBrains IDEs
  • the God-like Windows-only proprietary language-lacking Visual Studio
Programmers of the world: unite! Focus on one IDE, and make it work for all languages and all build systems. Give it all the features that Eclipse has, but none of the bugginess. Work with top project to make sure the IDE works for all top projects.
Projects of the world: support one IDE, with in-tree configuration. Complex integration is often required between the IDE and the build system, and successful projects must to that once for all developers. Either do this, or watch you complex project wither away.
Build tool maintainers: make it possible for IDEs to support your tool! E.g., implement JSON Compilation Database output so that IDEs can read the exact compiler commands from that, in order to automatically determine how files should be parsed! Or better, just use libllvm in your IDE itself as the main parser.
Ciro is evaluating some IDEs at: github.com/cirosantilli/ide-test-projects
SQL TRIGGER by Ciro Santilli 37 Updated 2025-07-16
SQL's implementation of database triggers.
This feature is really cool, as it allows you to keep caches up to date!
In particular, everything that happens in a trigger happens as if it were in a transaction. This way, you can do less explicit transactions when you use triggers. It is a bit like the advantages of SQL CASCADE.
ISO SQL TRIGGER syntax by Ciro Santilli 37 Updated 2025-07-16
TODO what is the standard compliant syntax?
SQLite does not support SQL stored procedures at all, so maybe that's why they can't be standard compliant here: stackoverflow.com/questions/3335162/creating-stored-procedure-in-sqlite
SQL:1999 11.38 covers "Trigger definition". The Abstract syntax tree starts with the CREATE TRIGGER and ends in:
<triggered SQL statement> ::=
  <SQL procedure statement>
This is defined at 13.5 "SQL procedure statement", but that is humongous and I'm not sure what it is at all.
In this example we cache track the number of posts per user on a cache column.
UNION (SQL) by Ciro Santilli 37 Updated 2025-07-16
Basic example tested on SQLite 3.40.1, Ubuntu 23.04:
sqlite3 :memory: 'select 1 union select 2'
output:
1
2
Two columns two rows:
sqlite3 :memory: <<EOF
select * from (values (1, 2), (2, 3))
union
select * from (values (2, 3), (3, 4))
EOF
output:
1|2
2|3
3|4
Note how duplicates are removed, to keep them we UNION ALL instead:
sqlite3 :memory: <<EOF
select * from (values (1, 2), (2, 3))
union all
select * from (values (2, 3), (3, 4))
EOF
output:
1|2
2|3
2|3
3|4
DELETE with JOIN (SQL) by Ciro Santilli 37 Updated 2025-07-16
NO way in the SQL standard apparently, but you'd hope that implementation status would be similar to UPDATE with JOIN, but not even!
SQL standard by Ciro Santilli 37 Updated 2025-07-16
A quick look at PostgreSQL's compliance notes: www.postgresql.org/docs/13/features.html shows the complete utter mess that this standard is. Multiple compliance levels that no one fully implements and optional features everywhere.
SQL histogram by Ciro Santilli 37 Updated 2025-07-16
Let's try it on SQLite 3.40.1, Ubuntu 23.04. Data setup:
sqlite3 tmp.sqlite 'create table t(x integer)'
sqlite3 tmp.sqlite <<EOF
insert into t values (
  0,
  2,
  2,
  3,

  5,
  6,
  6,
  8,
  9,

  17,
)
EOF
sqlite3 tmp.sqlite 'create index tx on t(x)'
For a bin size of 5 ignoring empty ranges we can:
sqlite3 tmp.sqlite <<EOF
select floor(x/5)*5 as x,
       count(*) as cnt
from t
group by 1
order by 1
EOF
which produces the desired:
0|4
5|5
15|1
And to consider empty ranges we can use SQL genenerate_series + as per stackoverflow.com/questions/72367652/populating-empty-bins-in-a-histogram-generated-using-sql:
sqlite3 tmp.sqlite <<EOF
select x, sum(cnt) from (
  select floor(x/5)*5 as x,
         count(*) as cnt
    from t
    group by 1
  union
  select *, 0 as cnt from generate_series(0, 15, 5)
)
group by x
EOF
which outputs the desired:
0|4
5|5
10|0
15|1
Mean Absolute Error (MAE) is a common metric used to evaluate the performance of regression models. It measures the average magnitude of the errors in a set of predictions, without considering their direction (i.e., it takes the absolute values of the errors).
The term "spin representation" is commonly used in the context of quantum mechanics and refers to a mathematical framework for describing the intrinsic angular momentum (spin) of quantum particles. Spin is a fundamental property of quantum particles like electrons, protons, neutrons, and other elementary and composite particles. ### Key Elements of Spin Representation: 1. **Quantum States**: Spin states are represented as vectors in a Hilbert space.
Euclidean symmetries refer to the transformations that preserve the structure of Euclidean space, which is the familiar geometry of flat spaces (typically two-dimensional and three-dimensional spaces). These symmetries encompass various operations that can be applied to geometric figures without altering their fundamental properties, such as distances and angles. The main types of Euclidean symmetries include: 1. **Translations**: Shifting a figure from one location to another without rotation or reflection.
The affine symmetric group, often denoted as \( \text{Aff}(\mathbb{Z}/n\mathbb{Z}) \) or \( \text{Aff}(n) \), is an extension of the symmetric group that includes not only permutations of a finite set but also affine transformations. Specifically, it refers to a group of transformations that act on a finite cyclic group, typically represented as \( \mathbb{Z}/n\mathbb{Z} \).
In geometry, axiality refers to a property or characteristic related to axes, particularly concerning symmetry and orientation. While the term isn't frequently used in mainstream geometry literature, it often relates to how certain objects or shapes are organized around an axis. In the context of geometry, axiality can describe: 1. **Symmetry**: An object is said to have axiality if it exhibits symmetry about an axis.

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