Theta solvent refers to a specific type of solvent condition in polymer science that is used to describe the behavior of polymers in solution. In the context of polymer chemistry, the concept of theta solvents is related to the way solvent molecules interact with polymer chains. When a polymer is dissolved in a solvent, the interaction between the solvent and the polymer can vary based on the properties of the solvent and the polymer.
Time-domain thermoreflectance (TDTR) is a sophisticated optical technique used to measure the thermal properties of materials, particularly thermal conductivity, thermal diffusivity, and heat capacity at the nanoscale. This method is especially valuable for characterizing thin films, nanostructures, and other materials where traditional thermal measurement techniques may not be applicable.
Waste heat is the thermal energy that is generated as a byproduct of various industrial processes, power production, and other activities but is not used for any productive purpose. Instead, it is released into the environment, typically through exhaust gases, cooling water, or other means.
Puzz 3D is a brand of three-dimensional jigsaw puzzles that were popularized in the 1990s. Unlike traditional flat jigsaw puzzles, Puzz 3D allows you to build structures in three dimensions, adding a new layer of complexity and engagement to puzzle solving. The puzzles typically consist of plastic pieces that interlock to create various architectural or landscape designs, such as famous landmarks, castles, or scenes from nature.
The Arens–Fort space is a specific topological space that provides an insightful example in the study of various properties of spaces, particularly in relation to convergence, continuity, and compactness. It is defined as follows: ### Construction of Arens–Fort Space 1.
Andrew Casson is a mathematician known for his work in the field of topology, particularly in the study of 3-manifolds and geometric topology. He has made significant contributions to the understanding of the structure of 3-manifolds through various techniques, including the development of Casson invariant, which is an important concept in the study of knots and links in 3-dimensional spaces.
Topological tensor products are a concept in functional analysis and topology that extends the notion of tensor products to include topological vector spaces. In a basic sense, the tensor product of two vector spaces combines them into a new vector space, and when we consider topological vector spaces (which are vector spaces equipped with a topology), we want to create a tensor product that also respects the topological structure.
The small boundary property is a concept in the field of functional analysis and operator theory, particularly in the study of operator algebras and their representations. It is often discussed in relation to the behavior of operator algebras on Hilbert spaces and can have implications in quantum mechanics and other areas of mathematics. In a more specific context, the small boundary property refers to the behavior of certain sets or algebras when embedded in larger structures.
Divisor topology is a concept in the realm of algebraic geometry and topology, specifically dealing with the study of "divisors" on algebraic varieties. A divisor is a formal sum of irreducible subvarieties, typically associated with some function or a line bundle. Divisor topology can also relate to the topology induced by the divisors on a given variety.
The Menger sponge is a well-known example of a fractal and a mathematical object that is constructed through an iterative process. It was introduced by the mathematician Karl Menger in 1926. The Menger sponge is defined in three dimensions and is created starting with a solid cube. Here’s how the construction works: 1. **Start with a Cube:** Begin with a solid cube.
Alejandro Adem is a prominent mathematician known for his contributions to the fields of topology and algebraic geometry. He has worked in areas such as homotopy theory, algebraic topology, and the study of algebraic varieties. Additionally, Adem has held various academic positions and has been involved in research and education in mathematics.
Andrey Tikhonov was a prominent Russian mathematician known for his significant contributions to several areas of mathematics, including functional analysis, mathematical physics, and numerical analysis. He is perhaps best known for developing the Tikhonov regularization method, which is a technique used to stabilize the solution of ill-posed problems, especially in the field of inverse problems and optimization. This method has applications in various fields, including statistics, machine learning, image reconstruction, and engineering.
Clifford Hugh Dowker (born July 18, 1924 - January 24, 2021) was a notable British mathematician known for his contributions to the fields of topology and category theory. He is particularly recognized for Dowker spaces and Dowker's theorem, which are important concepts in topology. Dowker's work had a significant influence on various areas of mathematics, and he was also known for his role in mathematics education and mentorship throughout his career.
John L. Kelley was an American mathematician and statistician known for his contributions to the fields of statistics and operations research. He is particularly noted for his work in queuing theory and the development of the Kelly criterion, which is a formula used in gambling and investment for determining the optimal size of a series of bets. The Kelly criterion aims to maximize the logarithm of wealth over time, balancing the risks and rewards of various betting or investment strategies.
De Witt Sumners is a mathematical researcher known for his work in the fields of topology and geometric knot theory. He has contributed to the understanding of knot invariants and the mathematical properties of knots and links. Additionally, he is known for his collaborations and research involving computer applications in mathematics.
Deane Montgomery (1909–2002) was an American mathematician known primarily for his contributions to topology and geometry. He is particularly recognized for his work on fixed-point theorems and for his influence in the fields of algebraic topology and geometric topology. Montgomery is also known for his collaboration with fellow mathematician John L. Kelley, and they wrote the influential book "Topology," which served as a foundational text in the subject.
As of my last knowledge update in October 2021, "Dona Strauss" may refer to different things depending on the context, but I don't have specific information about a widely recognized entity or product by that name. It could potentially refer to a person's name, a brand, or a concept that has emerged more recently.
Elon Lages Lima is a Brazilian entrepreneur and technology enthusiast known for his work in the field of artificial intelligence and computer technology. He is a prominent figure associated with various tech startups and ventures, particularly in the areas of innovation, business development, and technological advancement. However, detailed and specific information about him and his activities may vary, and he may not be as widely recognized as some other tech entrepreneurs.
Frederick R. Cohen is a prominent figure known primarily for his contributions to the field of computer science, particularly in cybersecurity and computer forensics. He is noted for his work on the mathematical foundations of computer security, including the conceptualization of various types of computer viruses and malware. Cohen is perhaps best known for his early research on computer viruses, which he conducted in the 1980s.
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





