The Busemann–Petty problem is a classic question in the field of convex geometry. It asks whether, in Euclidean space, the volume of a convex body can be deduced solely from the volumes of its orthogonal projections onto a hyperplane. More specifically, if two convex bodies have the same volume for all orthogonal projections, do they necessarily have to be congruent (that is, identical up to rigid motion)?
The Calgary Corpus refers to a collection of linguistic data that was originally compiled for research purposes, particularly in the field of linguistics and sociolinguistics. It typically contains samples of spoken and written language, which researchers analyze to study language use, variation, and change within different communities or contexts. One notable example is the Calgary English Language Corpus, which focuses on the English spoken in Calgary, Canada.
The California Mathematics Project (CMP) is an educational initiative designed to enhance mathematics education across California. It typically encompasses collaborative efforts among educators, researchers, and mathematicians to improve the teaching and learning of mathematics in K-12 schools. The CMP focuses on several key areas: 1. **Curriculum Development**: The project works on developing and implementing effective mathematics curricula that align with state standards and frameworks.
Zinc oxide is a chemical compound that consists of zinc and oxygen, with the formula ZnO. It is a white powder that is odorless and insoluble in water. Zinc oxide has several important properties and applications: 1. **Physical Properties**: Zinc oxide can appear as a white solid or a powder. It has a melting point of about 1,975 °C (3,587 °F) and is known for its high thermal conductivity and low expansion coefficient.
The California State Railroad Museum (CSRM) is located in Sacramento, California, and is one of the largest and most celebrated railroad museums in the United States. Established to showcase the role of railroads in California's history and development, the museum features a vast collection of locomotives, rolling stock, and railroad artifacts. Visitors can explore beautifully restored trains, learn about the history of railroads in California, and understand their impact on the state's economy and transportation system.
Christ Community Church is a name that can refer to various Christian congregations worldwide, as many churches adopt similar names. Generally, these churches are part of the evangelical tradition and emphasize community involvement, spiritual growth, worship, and outreach. One notable example is Christ Community Church in Olathe, Kansas, which is a large evangelical church that offers a variety of services, programs, and outreach initiatives for its congregation and the surrounding community.
The "Canadian Internet Handbook" typically refers to a resource or guide that provides information about navigating the internet in Canada. It may cover various topics such as internet safety, privacy, digital citizenship, online resources, and tools that are relevant to Canadians. Depending on the specific edition or context, it might also include information about internet policies in Canada, the landscape of internet service providers, and tips for using digital tools effectively and responsibly.
Vacuum energy refers to the underlying energy present in empty space, or "vacuum." In quantum field theory, even in a perfect vacuum devoid of matter, there are still fluctuations due to the Heisenberg uncertainty principle. These oscillations happen because pairs of virtual particles can spontaneously form and annihilate within very short time periods.
The term "vertex function" can refer to different concepts based on the context in which it is used, particularly in mathematics, computer graphics, and physics. Here are some common interpretations: 1. **Graph Theory**: In graph theory, a "vertex function" may refer to a function that assigns values or properties to the vertices (or nodes) of a graph.
Quaternary structure refers to the highest level of protein organization. It involves the assembly of multiple polypeptide chains, known as subunits, that come together to form a functional protein complex. Each subunit in a quaternary structure can be identical or different, and the interactions between these subunits are crucial for the protein's overall functionality. The interactions that stabilize quaternary structures include hydrogen bonds, ionic bonds, hydrophobic interactions, and disulfide bridges.
The protests against SOPA (Stop Online Piracy Act) and PIPA (Protect IP Act) were significant events that took place in early 2012 in response to proposed legislation in the United States aimed at combating online copyright infringement. **Background:** - **SOPA:** Introduced in the House of Representatives, SOPA aimed to give copyright holders the ability to take down infringing content and block access to foreign websites that hosted or linked to pirated content.
Canwarn, or the Canadian Weather Amateur Radio Network, is a program in Canada that involves amateur radio operators who help to monitor and report severe weather conditions. This initiative is primarily aimed at enhancing public safety by providing timely information about severe weather events such as thunderstorms, tornadoes, and floods.
Capacity-achieving codes are a class of error-correcting codes that can theoretically approach the maximum possible efficiency for data transmission over a noisy communication channel. The term "capacity" refers to the channel capacity, which is the maximum rate at which information can be transmitted over a communication channel with an arbitrarily low probability of error, as defined by Shannon's channel capacity theorem.
Asymptotic geometric analysis is a branch of mathematics that combines techniques from geometry, functional analysis, and asymptotic analysis to study the geometric properties of spaces, particularly in the context of high-dimensional analysis. It often focuses on how geometric structures behave as dimensions grow large or as certain parameters tend to infinity.
George Clinton and His Gangsters of Love is a musical project led by George Clinton, a prominent figure in funk music known for his work with bands like Parliament and Funkadelic. Clinton is famed for his eclectic style, vibrant performances, and innovative contributions to the genre. The Gangsters of Love is one of the various iterations of his musical endeavors, often characterized by their funky sound and playful lyrics.
Species distribution modeling (SDM) is a set of statistical and computational techniques used to predict the geographic distribution of species based on environmental and ecological data. The primary goal of SDM is to understand the relationships between species and their environments, allowing researchers to map and predict where species are likely to occur under current and future conditions. Here are the key components and methods associated with species distribution modeling: 1. **Data Collection**: SDM relies on occurrence data (i.e.
Carbon-13 (C-13) is a stable isotope of carbon, which has an atomic mass of approximately 13 atomic mass units (amu). It consists of six protons and seven neutrons in its nucleus, distinguishing it from the more common carbon isotope, Carbon-12 (C-12), which has six protons and six neutrons. Carbon-13 makes up about 1.1% of all naturally occurring carbon in the environment.
CD90, also known as Thymocyte Differentiation Antigen 1 (Thy-1), is a cell surface glycoprotein that is primarily expressed on T cells, but it can also be found on neurons, fibroblasts, and several other cell types. It is involved in a variety of biological processes, including cell adhesion, signaling, and immune response regulation.
Functional design refers to a design approach that emphasizes the functionality and usability of a product or system. This approach prioritizes the specific requirements and functions that a product must fulfill, ensuring that it meets user needs effectively. Functional design can be applied across various fields, including software development, product design, architecture, and engineering. Key characteristics of functional design include: 1. **User-Centric Focus**: It starts with understanding the end users and their requirements, which guides the design process.
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





