The Method of Matched Asymptotic Expansions is a mathematical technique used to solve certain types of differential equations, particularly in the context of boundary value problems and singular perturbation problems. This method is useful when the solution behaves differently in different regions of the domain, especially when there are small parameters involved that can lead to layer effects or other complexities.
The Tilted Large Deviation Principle (TLDP) is a concept in probability theory, particularly in the area of large deviation theory. It extends the classical large deviation principles, which usually provide asymptotic estimates of probabilities of rare events in stochastic processes or sequences of random variables. In general, large deviation principles are concerned with understanding how the probabilities of certain rare events behave as an associated parameter (often the sample size) grows.
E-learning websites must allow students to create learning content by 
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01The Slowly Varying Envelope Approximation (SVEA) is a concept commonly used in the fields of optics, nonlinear physics, and signal processing. It simplifies the analysis of wave phenomena, especially when dealing with pulse propagation in optical fibers, laser pulses, and other systems where the envelope of a wave packet evolves slowly compared to its carrier frequency. ### Key Features of SVEA: 1. **Envelope vs.
E-learning websites must keep content free, only charge for certification by Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01Another thing that is fine charging for is dedicated 1-to-1 tutor time. This is something Udacity is doing as of 2022.
www.investopedia.com/articles/investing/042815/how-coursera-works-makes-money.asp has a good mention:and it links to: www.freecodecamp.org/news/massive-open-online-courses-started-out-completely-free-but-where-are-they-now-1dd1020f59/, very good article!
MOOCs were first created by people with utopian visions for the internet. This means the idea for platforms like Coursera was likely conceived without a business plan in mind. Nonetheless, Coursera has managed to monetize its platform. It is worth noting, however, that monetization has lead to the effective elimination of the original MOOC idea, which is predicated on ideals like free and open access, as well as the building of online communities.
That is a fundamental guiding principle of OurBigBook.com. The educational content must be licensed CC BY-SA!
Perhaps the most reliable way of reaching this state is E-learning websites must allow students to create learning content.
Bibliography:
- academia.stackexchange.com/questions/86179/is-it-financially-worth-it-to-teach-a-mooc-e-g-coursera Is it financially worth it to teach a MOOC (e.g. Coursera)?
- www.classcentral.com/about amazing, they can make money just from ads! I wouldn't expect that they could scale like TripAdvisor, because travelling means very local knowledge, I would expect there to be much fewer MOOCs and for them to be more easily findable on Google. Good thing though, this website.
Ciro Santilli distinctly remembers being taught that at basic electrical engineering school during Ciro Santilli's undergrad studies at the University of São Paulo.
It really allows you to do alternating current calculations much as you'd do DC calculations with resistors, quite poweful. It must have been all the rage in the 1950s.
Varadhan's lemma is a fundamental result in probability theory, particularly in the field of large deviations. It provides a way to evaluate the asymptotic behavior of certain probabilities as a parameter goes to infinity, often in the context of sequences of random variables or stochastic processes.
In the context of Maxwell's equations, it is vector field that is one of the inputs of the equation.
Section "Maxwell's equations with pointlike particles" asks if the theory would work for pointlike particles in order to predict the evolution of this field as part of the equations themselves rather than as an external element.
Measured in amperes in the International System of Units.
See also some remarks of Ciro Santilli's thoughts on the instrument Ciro Santilli's musical education.
Arca Noë, also known as Noah's Ark, refers to a significant biblical story found in the Book of Genesis. In this narrative, God instructs Noah to build an ark to save himself, his family, and pairs of every animal species from a great flood that God would unleash to cleanse the earth of wickedness. The story symbolizes themes of salvation, divine judgment, and the covenant between God and humanity.
"Ars Magnesia" refers to a concept associated with alchemy and philosophical traditions, particularly in the context of Western esoteric thought. The term itself can be translated as "the art of magnesium" or "the art of magic." It's often used in the context of the broader study of magical practices, spiritual transformation, and the pursuit of knowledge that transcends the material world.
The term "cat organ" can refer to a couple of different concepts. One notable reference is the musical instrument known as the "cat organ," which is a historical novelty instrument made using live cats. In this construction, live cats were placed in a series of boxes, and their vocalizations were used to create music, often likened to a type of organ.
A hollow-cathode lamp (HCL) is a type of gas discharge lamp that is widely used as a light source in atomic spectrometry, specifically for atomic absorption spectroscopy (AAS) and atomic emission spectroscopy (AES). The lamp is designed to emit characteristic spectral lines of a specific element or elements when an electric current is passed through the gas inside it.
A different and more elegant way to express Maxwell's equations by using the:instead of the:
"Historia Eustachio Mariana" is a work attributed to the 17th-century Jesuit scholar and historian, Eustachio Mariana (sometimes referred to as Justus Mariana). The title translates to "The History of Eustachio Mariana." Mariana was known for his historical writings and his critical views on political authority, particularly regarding the monarchy in Spain.
Pinned article: ourbigbook/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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.
Figure 3. Visual Studio Code extension installation.
Figure 5. . 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. 
- Infinitely deep tables of contents:
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