In the context of functional spaces in mathematics, "S" and "L" typically refer to certain types of spaces of functions with particular properties. Here are the common definitions: 1. **S Spaces**: Often, "S spaces" refer to the **Schwartz Space** (denoted as \( \mathcal{S} \)). This space consists of rapidly decreasing smooth functions that, along with all their derivatives, vanish faster than any polynomial as their argument goes to infinity.
As of my last knowledge update in October 2023, it appears that there is no widely recognized individual or concept specifically associated with the name "Carlos Segers." It is possible that it could refer to a private individual, a lesser-known figure, or a name associated with a specific context not covered in the information available up to that date.
"Carmen Suites" refers to a series of orchestral arrangements extracted from the famous opera "Carmen," composed by Georges Bizet. The opera, which premiered in 1875, is based on a story by Prosper Mérimée and is well-known for its captivating melodies and dramatic narrative. The term "Carmen Suites" often specifically refers to the orchestration and arrangements made by various composers, with one notable version by French composer Ernest Guiraud.
As of my last knowledge update in October 2021, there is no well-known public figure, organization, or concept by the name "Boris Shapiro." It’s possible that the name could refer to a private individual, a lesser-known local figure, or someone who gained prominence after my last update.
Cartography and Geographic Information Science (GIScience) are closely related fields focused on the representation, analysis, and understanding of geographical information. ### Cartography Cartography is the art and science of creating maps. It involves the design, production, and use of maps to communicate spatial information effectively. Cartographers employ various techniques to convey data about geographical features, such as topography, population density, land use, and transportation networks.
Cascade refrigeration is a refrigeration cycle that uses two or more refrigeration cycles in series to achieve lower temperatures than what a single cycle can achieve. This method is often employed in applications that require very low temperatures, such as in cryogenics or for the preservation of biological samples. **How it Works:** 1. **Two or More Cycles**: In a cascade refrigeration system, there are typically two or more refrigeration systems.
Casimir Marie Gaudibert does not appear to be widely recognized or discussed in historical or contemporary sources. It is possible that there may be an individual by that name who has not garnered significant public attention or may be known within a specific field or region.
Pseudoelasticity refers to a property of certain materials, particularly shape memory alloys (SMAs), that exhibit a unique behavior under stress. In pseudoelastic materials, the stress-strain response can show a reversible transformation between different phases (like austenite and martensite in SMAs) without a change in temperature.
Cathérine Jami is a French historian and scholar known for her research on the history of science in China, particularly during the Ming and Qing dynasties. She has made significant contributions to understanding the interactions between Eastern and Western scientific practices and ideas, as well as the development of scientific knowledge in China. Jami’s work often explores the complexities of cultural exchange and the translation of scientific texts between different languages and traditions.
Chang Heng is a lunar impact crater located on the far side of the Moon. It is situated in an area characterized by several large impact features and craters. The crater is named after Chang Heng, an ancient Chinese astronomer known for his contributions to the study of celestial bodies. The diameter of Chang Heng is approximately 80 kilometers (about 50 miles).
Statistical inference is a branch of statistics that focuses on drawing conclusions about a population based on data collected from a sample. It involves using sample data to make generalizations or predictions about a larger group, while also quantifying the uncertainty associated with these conclusions. There are two main types of statistical inference: 1. **Estimation**: This involves estimating population parameters (such as means or proportions) based on sample statistics.
Stokes's law of sound attenuation refers to the mathematical relationship that describes how sound waves are absorbed and attenuated as they travel through a medium. This law is particularly relevant in the context of sound propagation in viscous fluids, where the influence of viscosity plays a significant role in the attenuation of sound. In general terms, Stokes's law states that the attenuation of sound (the decrease in sound intensity) is proportional to the square of the frequency of the sound wave and the viscosity of the medium.
In the context of computer science, particularly in compiler design and formal language theory, "First" and "Follow" sets are concepts used in the analysis of context-free grammars. The **First set** of a symbol (which can be a terminal or non-terminal) is a set of terminals that begin the strings derivable from that symbol. More formally: - For a terminal symbol, the First set is simply the terminal itself.
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!
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 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. - 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





