Crack tip opening displacement (CTOD) is a measure used in materials science and fracture mechanics to describe the amount of separation or displacement of the crack faces at the tip of a crack under loading conditions. It is an important parameter in understanding the behavior of materials when they are subjected to stress and is particularly useful in assessing the toughness and resistance to crack propagation in materials.
Fractography is the study of fracture surfaces in materials, typically metals, polymers, ceramics, and composites. It involves the detailed examination and analysis of the features and characteristics of fracture surfaces to determine the cause of failure and to gain insights into the material's properties and behaviors. Key aspects of fractography include: 1. **Fracture Surface Features**: Fractographs can reveal various features such as dimples, cleavage planes, river patterns, and fatigue striations.
Microvoid coalescence is a phenomenon observed in materials, particularly metals and polymers, during the process of deformation and fracture. It involves the formation and growth of small voids (or microvoids) within the material's microstructure, which ultimately leads to a coalescence, or merging, of these voids. This mechanism is significant in understanding how materials fail under stress, especially in ductile fracture mechanisms.
Foxing refers to the yellowish-brown spots or discoloration that can appear on paper, particularly in books, due to age, humidity, and exposure to light. This phenomenon is often caused by the breakdown of the paper's fibers, mold, or chemical reactions involving impurities in the paper or ink. Foxing is commonly seen in older books, particularly those that are not stored properly. Collectors often seek to minimize or remove foxing to preserve the integrity and aesthetic of the printed work.
Widespread Fatigue Damage (WFD) is a term primarily used in the context of structural engineering and materials science, particularly in the assessment of aircraft and other structures that experience cyclic loading. WFD refers to the accumulation of microstructural damage in materials due to repeated loading and unloading — a phenomenon known as fatigue. In the aerospace industry, for instance, aircraft components are subjected to numerous cycles of stress during their operational life.
Ablation generally refers to the process of removing or destroying tissue or material through various methods. The term is used in several contexts, each with its own specific meaning: 1. **Medical Context**: In medicine, ablation refers to the removal of tissue, often using techniques such as surgery, laser treatment, radiofrequency, or cryotherapy. For example, cardiac ablation is a procedure used to treat arrhythmias by destroying small areas of heart tissue that cause abnormal electrical signals.
The Melvin Mooney Distinguished Technology Award is an honor presented by the Rubber Division of the American Chemical Society (ACS). Established in 1942, the award recognizes outstanding achievement in the field of rubber technology. It is named after Melvin Mooney, who was a prominent figure in rubber technology and made significant contributions to the industry. The award is typically given to individuals or teams for their innovative advancements or contributions that have had a substantial impact on the science and technology of rubber and elastomers.
The Israel Journal of Mathematics is a peer-reviewed academic journal that publishes research papers in various areas of mathematics. Established in 1963, the journal is known for its high-quality publications and covers a wide range of topics within pure and applied mathematics, including analysis, algebra, geometry, topology, and mathematical physics. The journal aims to promote the dissemination of significant mathematical research, support the mathematics community, and provide a platform for mathematicians to share their findings.
The "Journal d'Analyse Mathématique" is a mathematical journal that publishes research articles in the field of mathematical analysis. It covers a wide range of topics within this discipline, including real analysis, complex analysis, functional analysis, and more. The journal is known for its rigorous peer-review process and aims to present high-quality, original research contributions. The journal is published in a variety of formats, often featuring articles that advance the understanding of mathematical theories, techniques, and applications.
"Mathematics" is an open-access academic journal that publishes research articles covering all areas of mathematics. It is designed to provide a platform for the dissemination of high-quality research and to promote collaboration within the mathematical community. The journal aims to facilitate the sharing of knowledge and advancements in mathematical theories and practices across a wide range of topics. Being an open-access journal means that all published articles are freely accessible to readers, which increases the visibility and impact of the research.
Mathematics of Computation, often abbreviated as MoC, is a field that focuses on the theoretical and practical aspects of mathematical algorithms and numerical methods for solving mathematical problems using computers. This area of study encompasses various disciplines, including numerical analysis, algorithm design, and complexity theory.
The Journal of Group Theory is an academic publication focused on the field of group theory, which is a branch of mathematics that studies algebraic structures known as groups. The journal publishes original research articles, review papers, and sometimes survey articles that contribute to the theoretical understanding of groups and their applications in various areas of mathematics and science.
The Journal of Modern Dynamics is a scholarly journal that focuses on various areas of mathematics, particularly in the field of dynamical systems and related topics. It publishes research articles, reviews, and papers that contribute to the understanding of the behavior of complex systems over time. The journal seeks to cover both theoretical and applied aspects of dynamical systems, often fostering the interaction between different areas of mathematics.
A **partition matroid** is a specific type of matroid that arises from a partition of a finite set. To understand it, we need to start with a few definitions: 1. **Matroid**: A matroid is a combinatorial structure that generalizes the concept of linear independence in vector spaces.
The category of manifolds, often denoted as **Man**, is a mathematical structure in category theory that focuses on differentiable manifolds and smooth maps between them. Here are the key components of this category: 1. **Objects**: The objects in the category of manifolds are differentiable manifolds. A differentiable manifold is a topological space that is locally similar to Euclidean space and has a differentiable structure, meaning that the transition maps between local coordinate charts are differentiable.
The LMS Journal of Computation and Mathematics is a peer-reviewed academic journal that publishes research articles in the fields of computational mathematics and numerical analysis. It is associated with the London Mathematical Society (LMS), a prominent learned society in the United Kingdom that promotes research in pure and applied mathematics. The journal covers a wide range of topics, including but not limited to numerical methods, algorithms, computational modeling, and applications of mathematics in various scientific fields.
"Mathematica Applicanda" might not be a widely recognized term or product in the realm of mathematics or computer software as of my last knowledge update in October 2023. However, it could be a specific project, a type of application, or even a term used in academic contexts related to the use of Mathematica, which is a computational software program developed by Wolfram Research.
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





