A noise curve, often referred to in contexts such as acoustics, electronics, or statistics, describes the relationship between the level of noise and some other variable, such as frequency or time. The concept can vary depending on its application: 1. **In Acoustics**: A noise curve can represent how sound intensity varies across different frequencies.
Amplifier by Ciro Santilli 40 Updated 2025-07-16
Main implementations: the same as electronic switches: vacuum tubes in the past, and transistors in the second half of the 20th century.
Video 1.
How to make an LM386 audio amplifier circuit by Afrotechmods (2017)
Source. Builds the circuit on a breadboard from minimal components, including one discrete transistor. Then plays music from phone through headset cables into a speaker.
Capacitor by Ciro Santilli 40 Updated 2025-07-16
The fundamental intuition about capacitors is that they never let electrons through.
They can only absorb electrons up to a certain point, but then the pushback becomes too strong, and current stops.
Therefore, they cannot conduct direct current long term.
For alternating current however, things are different, because in alternating current, electrons are just jiggling back and forward a little bit around a center point. So you can send alternating current power across a capacitor.
The key equation that relates Voltage to electric current in the capacitor is:
So if a voltage Heavyside step function is applied what happens is:
  • the capacitor fills up instantly with an infinite current
  • the current then stops instantly
More realistically, one may consider the behavior or the series RC circuit to see what happens without infinities when a capacitor is involved as in the step response of the series RC circuit.
Figure 1.
Electronic symbol of a capacitor
. Source.
Video 1.
Finding capacitance with an oscilloscope by Jacob Watts (2020)
Source. Good experiment.
Video 2.
Capacitors Explained by The Engineering Mindset
. Source. 2019.
This is what happens when you apply a step voltage to a series RC circuit: TODO graph.
Semiconductor diode by Ciro Santilli 40 Updated 2025-07-16
Figure 1.
I-V curve of a diode
. Source. This image shows well how the diode is only an approximation of the ideal one way device. Notably, there is this non-ideal voltage drop across the device, which can be modelled as constant. It is however an exponential in fact.
Video 1.
Diodes Explained by The Engineering Mindset (2020)
Source. Good video:
Crystal radio by Ciro Santilli 40 Updated 2025-07-16
This was the first generation of commercially successful radios.
It uses a crystal detector as its diode, which is a crucial element of the radio, thus its name.
They were superseded by transistor radios, which were much more reliable, portable and could amplify the signal received.
Video 1.
How a Crystal radio Works by RimstarOrg
. Source.
Pulse width modulation by Ciro Santilli 40 Updated 2025-07-16
GPIO generally only supports discrete outputs.
But for some types of hardware, like LEDs and some motors, the system has some inertia, and if you switch on and off fast enough, you get a result similar to having an intermediate voltage.
So with pulse width modulation we can fake analog output from digital output in a good enough manner.
Engineering analysis is a systematic process used to evaluate and solve problems in engineering contexts. It involves applying mathematical and scientific principles to understand the behavior of systems, materials, and processes, helping engineers to design, optimize, and improve products and systems. Key components of engineering analysis include: 1. **Problem Definition**: Clearly identifying the problem to be solved or the question to be answered. 2. **Modeling**: Creating mathematical or computational models that represent the physical system or process.
Hydrogen pinch refers to a situation in the hydrogen economy or hydrogen supply chain where there is a significant imbalance between hydrogen supply and demand. This can occur when demand for hydrogen exceeds the available supply, leading to increased prices and potential shortages. The concept of a "pinch" is commonly used in resource and energy economics to describe constraints on supply that can impact pricing and availability.
Psychopolitical validity is a concept that merges psychological insights with political theory to evaluate how personal experiences and identities intersect with broader political contexts. It emphasizes understanding how individual psychological factors—such as emotions, motivations, and beliefsinform and are informed by political beliefs and actions. The term reflects a recognition of the interplay between the psyche and political systems, suggesting that personal experiences of oppression, identity formation, and social interactions can shape political attitudes and behaviors.
In philosophy, the term "state of affairs" refers to the way the world is at a particular time, often in relation to the existence or non-existence of certain facts, conditions, or situations. The concept is primarily associated with the fields of metaphysics and philosophy of language. A state of affairs comprises a specific arrangement of objects and their properties, as well as the relationships that hold between them.
Jump wire by Ciro Santilli 40 Updated 2025-07-16
Notably used to connect:
You can buy large sets of them in combitation of male/male, male/female, female/female. Male/male is perhaps the most important
Video 1.
Making Jumper Wires by PCBurn! (2018)
Source.
Pin header by Ciro Santilli 40 Updated 2025-07-16
These often come pre-soldered on devboards, e.g. and allow for easy access to GPIO pins. E.g. they're present on the Raspberry Pi 2.
Why would someone ever sell a devboard without them pre-soldered!
Figure 2.
Underside of a Raspberry Pi 2
. Source. At the top of this image we can clearly see how the usually pre-soldered pin header connectors go through the PCB and are soldered on both sides.
Jumper (computing) by Ciro Santilli 40 Updated 2025-07-16
Allows you to connect two adjacent pins of a pin header. Sometimes used as a hardware configuration interface!

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