The Gompertz–Makeham law of mortality is a mathematical model used to describe the age-specific mortality rates, particularly in humans and other organisms. It combines two components: the Gompertz function, which accounts for the increasing mortality risk due to aging, and a constant term that represents the background or external risk of death that does not depend on age.
A **graded poset** (partially ordered set) is a specific type of poset that has an additional structure related to its elements' ranks or levels. Here are the key characteristics of a graded poset: 1. **Partially Ordered Set**: A graded poset is first and foremost a poset, meaning it consists of a set of elements paired with a binary relation that is reflexive, antisymmetric, and transitive.
The term "harmonic" can refer to several concepts depending on the context in which it is used. Here are some common meanings: 1. **Music**: In music, "harmonic" refers to the relationship between notes that are played simultaneously (harmony) or in sequence (melody). Harmonics are also overtones or multiples of fundamental frequencies that contribute to the richness of sounds in musical instruments.
Grazer Philosophische Studien is a philosophical journal that publishes articles and papers in the field of philosophy. It is named after the city of Graz in Austria, where it was established. The journal typically features contributions from various areas of philosophy, including but not limited to metaphysics, ethics, epistemology, and political philosophy. It serves as a platform for scholars to share their research and engage with contemporary philosophical discussions.
A Hahn series is a formal power series that arises in the context of ordered groups and valuation theory. Specifically, it is used to describe a way to represent elements of certain fields, particularly in relation to ordered abelian groups.
Group theorists are mathematicians who specialize in the study of group theory, a branch of abstract algebra that focuses on the algebraic structures known as groups. A group is a set accompanied by an operation that combines any two elements to form a third element, satisfying certain axioms: closure, associativity, the existence of an identity element, and the existence of invertible elements.
Hao Huang is a mathematician known for his work in areas such as combinatorics and graph theory. He gained attention for his contributions to various mathematical problems and theories. His research often involves complex combinatorial structures and their properties, along with applications in computer science and related fields.
The term "Heinz" can refer to different things based on the context: 1. **Heinz (Company)**: The H.J. Heinz Company is a well-known American food processing company famous for its tomato ketchup and a wide variety of other condiments, sauces, and food products. The company was founded by Henry John Heinz in 1869 and has grown to become a global brand. 2. **Heinz (Name)**: Heinz can also be a German given name or surname.
Hisashi Okamoto is not a widely recognized figure or concept in popular culture or historical records as of my last knowledge update in October 2023. It's possible he could be a less-known individual in a specific field, such as academia, business, or entertainment.
The history of computing in the United Kingdom is rich and varied, with several significant developments that have had a profound impact on both the evolution of technology and the broader field of computer science. Here’s an overview of some key milestones and figures: ### Early Developments 1. **First Mechanical Computers**: - Charles Babbage, often referred to as the "father of the computer," conceptualized the Analytical Engine in the 1830s.
The history of numerical weather prediction (NWP) is a fascinating journey that intertwines advancements in mathematics, computing, and meteorology. Below is a summary of its evolution: ### Early Concepts (1900s-1940s) - **Mathematical Foundations**: The theoretical groundwork for numerical weather prediction began in the early 20th century with advancements in partial differential equations and fluid dynamics, which are essential for modeling atmospheric processes.
In algebraic topology, homotopy groups are algebraic invariants that classify topological spaces up to homotopy equivalence. Typically, the most commonly discussed homotopy groups are the homotopy groups of a space \( X \), denoted \( \pi_n(X) \), which for a given integer \( n \) represent the \( n \)-th homotopy group of \( X \).

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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