A Sound Speed Profile (SSP) is a representation of how sound speed varies with depth in a particular body of water, such as an ocean, sea, or large lake. This profile is essential in marine acoustics, underwater sound propagation, and oceanography. The speed of sound in water is influenced by several factors, including: 1. **Temperature**: Generally, sound speed increases with increasing temperature. Warmer water allows sound to travel faster.
Hamiltonian decomposition is a concept in graph theory, particularly concerned with the decomposition of graphs into Hamiltonian cycles or paths. A **Hamiltonian cycle** is a cycle that visits every vertex of a graph exactly once and returns to the starting vertex, while a **Hamiltonian path** visits every vertex exactly once but does not return to the starting vertex. In Hamiltonian decomposition, the objective is to represent a given graph as a collection of Hamiltonian cycles or paths.
Reinsurance is a financial arrangement in which an insurance company (the "ceding company") transfers a portion of its risk to another insurance company (the "reinsurer"). The primary purpose of reinsurance is to reduce the risk exposure of the ceding company by spreading risk among multiple parties, thereby enhancing the stability of the insurance market and ensuring that insurers can meet their financial obligations to policyholders.
The Quillen spectral sequence is a tool used in homotopy theory and algebraic topology, specifically in the context of derived categories and model categories. It arises from the study of the homotopy theory of categories and is used to compute derived functors. ### Context In general, spectral sequences are a method for computing a sequence of groups or abelian groups that converge to the expected group, effectively allowing one to break down complex problems into simpler parts.
A Weierstrass point is a special type of point on a compact Riemann surface (or algebraic curve) that has particular significance in the study of algebraic geometry and the theory of Riemann surfaces. To understand Weierstrass points, we need to consider a few key concepts: 1. **Compact Riemann Surface/Algebraic Curve**: A compact Riemann surface can be thought of as a one-dimensional complex manifold.
The clustering coefficient is a measure used in network theory to quantify the degree to which nodes in a graph tend to cluster together. It provides a way to understand the local structure of a network. There are two main types of clustering coefficients: the local clustering coefficient and the global clustering coefficient.
In the context of topology, a **join** is an operation that combines two topological spaces into a new space. Given two topological spaces \( X \) and \( Y \), the join of \( X \) and \( Y \), denoted \( X * Y \), is constructed in a specific way. The join \( X * Y \) can be visualized as follows: 1. **Take the Cartesian product** \( X \times Y \).
A branched covering is a concept in topology, specifically in the study of covering spaces. It refers to a specific type of continuous surjective map between two topological spaces, typically between manifolds or Riemann surfaces, which behaves like a covering map except for certain points, called branch points, where the behavior is more complicated.
Jan-Erik Roos could refer to different individuals, as the name might be shared by several people in various fields. Without additional context, it’s difficult to determine which Jan-Erik Roos you are referring to.
**Algorithms** and **Combinatorics** are two important branches of mathematics and computer science, each focusing on different aspects of problem-solving and counting. ### Algorithms An **algorithm** is a step-by-step procedure or formula for solving a problem. It is a finite sequence of instructions or rules designed to perform a task or compute a function. Algorithms can be expressed in various forms, including natural language, pseudocode, flowcharts, or programming languages.
Iteration is the process of repeating a set of instructions or operations until a specific condition is met or a desired outcome is achieved. It is a fundamental concept in mathematics and computer science, commonly used in algorithms, programming, and software development. In programming, iteration is often implemented using loops, such as: 1. **For loops**: Execute a block of code a specific number of times. 2. **While loops**: Continue to execute as long as a given condition remains true.
Beth A. Cunningham is an influential figure in the field of science education, particularly known for her work in improving science literacy and education practices. She has served in various capacities, including as an educator, administrator, and advocate for science education reforms. Throughout her career, she has focused on enhancing the quality of science instruction, promoting equitable access to science learning, and supporting the professional development of educators.
"Jack Goldman" could refer to different individuals or entities, depending on the context. Without specific details, it's difficult to pinpoint exactly what you're asking about. Here are a few possibilities: 1. **A Person**: Jack Goldman might be a common name, and there could be several notable individuals with that name in various fields, such as academia, business, or entertainment.
Amie Thomasson is a prominent philosopher known for her work in metaphysics, particularly in areas such as ontology, the philosophy of art, and the philosophy of language. She has contributed to the discussion of fictional objects, abstract entities, and the nature of truth. Thomasson's research often explores the implications of these topics for understanding reality and how we relate to various forms of existence, including fictional characters and artifacts.
J. L. Mackie (James Lauraine Mackie) was a prominent Australian philosopher, particularly known for his work in ethics and metaethics. He was born on September 25, 1917, and passed away on April 15, 1981. Mackie is best known for his argument for moral skepticism, particularly in his influential book "Ethics: Inventing Right and Wrong," published in 1977.
John McDowell is a prominent contemporary philosopher known for his work in epistemology, metaphysics, and the philosophy of mind. He was born on June 16, 1942, and has been influential in discussions surrounding topics such as the nature of experience, the relationship between perception and reality, and the implications of these issues for understanding knowledge. One of McDowell's key contributions is his critique of the dichotomy between the empirical and the conceptual.
Laurence BonJour is an American philosopher, particularly known for his work in epistemology, the philosophy of language, and the philosophy of religion. He is best recognized for his contributions to foundationalism and coherentism in epistemology, where he explores the nature and justification of knowledge and belief systems. BonJour has defended various positions regarding the relationship between belief and evidence, and he has engaged with issues related to skepticism and the nature of rational justification.
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





