Alan Lindsay Mackay is a prominent Australian mathematician known for his work in the field of mathematics, particularly in relation to partial differential equations and mathematical analysis. He has contributed significantly to various areas within mathematics and has published numerous papers throughout his career.
Berge equilibrium is a concept in game theory, particularly in the context of dynamic games with incomplete information. It is named after the French mathematician Claude Berge. The equilibrium represents a strategy profile where players choose their strategies optimally, given their beliefs about other players' types (or strategies), and where these strategies are consistently chosen based on the structure of the game.
Alan Cottrell is a notable figure in the field of materials science and engineering, particularly known for his work in the study of the physical properties of metals and the mechanisms of deformation and fracture. He made significant contributions to the understanding of dislocations in crystalline solids and the behavior of materials under stress. Cottrell's research has implications for various industries, including aerospace, automotive, and structural engineering, where material properties are crucial for performance and safety.
Alex Hankey is a physicist and a scholar known for his work in the field of theoretical physics, particularly in the areas of quantum theory, mind-body connection, and the intersection of science and spirituality. He has been active in exploring topics related to consciousness, perception, and the relationship between science and ancient wisdom traditions. Hankey has also contributed to discussions on the implications of modern physics for our understanding of reality.
Bernard Eastlund was an American physicist and inventor, best known for his work related to high-frequency active auroral research programs. He is often associated with the HAARP (High-Frequency Active Auroral Research Program) project, which has been the focus of various scientific, conspiracy, and popular culture debates.
Bernice Weldon Sargent does not appear to be a widely recognized figure in public records or history based on the information available up to October 2023. It is possible that she is a private individual or someone with a localized significance not covered in mainstream sources.
The Berry–Esseen theorem is a result in probability theory that provides an estimate of the convergence rate of the distribution of a sum of independent random variables to a normal distribution. Specifically, it quantifies how closely the distribution of the standardized sum of independent random variables approaches the normal distribution as the number of variables increases.
The Bertrand Russell Professorship of Philosophy is a prestigious academic position at the University of Cambridge, established to honor the renowned philosopher and logician Bertrand Russell. This professorship is aimed at fostering philosophical research and teaching within the university, reflecting Russell's significant contributions to philosophy, mathematics, and other fields. The position typically involves overseeing the study of philosophy at Cambridge, mentoring students, and conducting original research.
Best practice refers to a method or technique that has consistently shown superior results in a given field or industry. It is recognized as the most efficient and effective way to achieve a desired outcome, based on repeatable procedures that have proven over time to lead to successful results. Here are some key characteristics of best practices: 1. **Evidence-Based**: Best practices are often grounded in data and research, showing that they produce better outcomes than alternative methods.
Bhargav Bhatt is an Indian-American mathematician known for his work in algebraic geometry and number theory. He is a professor at the University of Michigan and has made significant contributions to the understanding of the interplay between algebraic geometry and arithmetic. Bhatt is particularly recognized for his work on perfectoid spaces, a concept that has become increasingly important in modern math, especially in the context of p-adic geometry and the study of higher-dimensional algebraic varieties.
Max Born (1882–1970) was a distinguished physicist and mathematician known for his foundational contributions to quantum mechanics and crystallography. He was awarded the Nobel Prize in Physics in 1954 for his work in the statistical interpretation of quantum mechanics. Below is a bibliography highlighting some of his notable works: ### Books 1. **"Principles of Optics"** (with Emil Wolf) - A foundational text in optical theory, discussing both classical and modern optics.
Significant wave height (often abbreviated as Hs) is a measure used in oceanography and meteorology to quantify the height of waves in a body of water. Specifically, it is defined as the average height of the highest one-third of the waves observed over a specific period. This metric provides a useful representation of the wave conditions because it tends to give a more accurate portrayal of the sea state than simply taking the average of all wave heights.
Wind-wave dissipation refers to the process by which energy from wind-generated waves is lost due to various physical mechanisms. When waves are generated by wind, they carry energy across the surface of the water. However, this energy does not remain indefinitely; it dissipates over time and distance due to several factors, including: 1. **Frictional Losses**: As waves move through the water, they encounter friction against the water surface and the seabed, resulting in energy loss.
Wind stress refers to the force exerted by the wind on the surface of a body of water or land. This force arises from the wind’s speed and direction and plays a crucial role in the movement of water bodies, influencing ocean currents, waves, and weather patterns.
The Fiber Volume Ratio (FVR) is a measure used in composite materials science to express the proportion of the volume of fibers to the total volume of the composite material. It is typically used to characterize composite materials that consist of reinforcing fibers embedded in a matrix, such as polymer, metal, or ceramics.
In physics, elasticity refers to the property of a material to deform when a force is applied and then return to its original shape when the force is removed. This behavior is observed in various materials, such as rubber bands, metals, and many other elastic substances. The fundamental concept of elasticity can be defined using Hooke's Law, which states that the strain (deformation) in a solid material is directly proportional to the applied stress (force) within the elastic limit of that material.
Admittance, in electrical engineering, refers to a measure of how easily a circuit or component allows the flow of alternating current (AC) when a voltage is applied. It is the reciprocal of impedance (Z) and is a complex quantity, encompassing both conductance (G) and susceptance (B). Mathematically, admittance (Y) is expressed as: \[ Y = \frac{1}{Z} \] where \( Z \) is the impedance of the circuit.

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