A function tree is a visual representation that illustrates how various functions or components of a system relate to one another. It is often used in project management, software development, and organizational contexts to break down complex tasks, processes, or systems into simpler components or functions.
Highly Optimized Tolerance (HOT) is a theoretical framework related to complex systems, particularly in the fields of statistical physics and complex networks. The concept refers to systems that exhibit a balance between stability and adaptability, allowing them to endure a high degree of variability and external perturbations while maintaining their core functionalities. In HOT systems, a high level of tolerance to flaws, errors, or disruptions is achieved through optimization of the underlying structures or processes.
Hyperstability is a concept often discussed in control theory and dynamical systems, primarily in the context of system stability and robustness. It generally refers to a system's ability to maintain stable behavior under a wider set of conditions than traditional stability concepts would account for. In mathematical terms, hyperstability typically implies that a system can tolerate certain types of perturbations or variations in parameters while still returning to a stable equilibrium.
L-stability is a concept related to numerical analysis, particularly in the context of solving ordinary differential equations (ODEs) and partial differential equations (PDEs) using numerical methods. It is a property of a numerical method that ensures stable behavior when applied to stiff problems. In essence, L-stability refers to the ability of a numerical method to dampen apparent oscillations or instabilities that arise from stiff components of the solution, particularly as the step size tends to zero.
The Monodomain model is a mathematical representation used in cardiac electrophysiology to simulate the electrical activity of heart tissue. It simplifies the complex, three-dimensional structures of cardiac cells and tissues into a more manageable framework. In the Monodomain model, the heart tissue is treated as a continuous medium through which electrical impulses can propagate. Key features of the Monodomain model include: 1. **Continuity**: Cardiac tissue is treated as a continuous medium rather than a collection of discrete cells.
Numerical dispersion refers to a phenomenon that occurs in numerical simulations of wave propagation, particularly in the context of finite difference methods, finite element methods, and other numerical techniques used to solve partial differential equations. It arises from the discretization of wave equations and leads to inaccuracies in the wave speed and shape. ### Key Characteristics of Numerical Dispersion: 1. **Wave Speed Variations**: In an ideal situation, wave equations should propagate waves at a constant speed.
A self-concordant function is a specific type of convex function that has properties which make it particularly useful in optimization, especially in the context of interior-point methods.
John Canton (1718-1772) was an English physicist and a prominent figure in the study of electricity during the 18th century. He is best known for his experiments with electrical phenomena, particularly static electricity. Canton made significant contributions to the understanding of electrical charge and conducted several notable experiments, including the invention of the first known electrical pendulum. He was also one of the founding members of the Royal Society, an esteemed scientific organization in England.
John Nye is a notable British scientist known for his contributions to the fields of geophysics and climate science. He has been involved in research related to ice, glaciers, and sea level rise, playing a significant role in understanding the dynamics of ice sheets and their impact on global sea levels in the context of climate change. Nye is perhaps best known for introducing models that describe the flow of ice, including the mechanics of how glaciers move over time.
As of my last knowledge update in October 2023, there is no widely recognized or notable figure named Marjorie Williamson. It’s possible that she could refer to a private individual or a less prominent person, or she could have gained recognition after my last update.
Robert J. Mears is a prominent American sociologist known for his work in criminology and criminal justice. He is particularly recognized for his contributions to the study of social control, the relationship between sentencing and crime rates, and issues related to juvenile delinquency. Mears has published numerous articles and books addressing these topics and has been involved in research that informs policy and practice in criminal justice.
Roger Cashmore is a prominent physicist known for his work in the field of particle physics and cosmology. He has contributed significantly to research related to the Large Hadron Collider (LHC) at CERN and has been involved in various scientific endeavors that explore the fundamental properties of matter and the universe. Cashmore has also engaged in science communication and education, sharing insights about physics with a broader audience.
Victor Alessandro Mundella does not appear to be a widely recognized name or term as of my last knowledge update in October 2021. It is possible that he is a private individual, a fictional character, or a figure who has gained prominence or relevance after that date.
William Astbury (1898–1961) was a British biologist and physicist known for his significant contributions to the field of X-ray crystallography. He is particularly recognized for his pioneering work in studying the structure of biological macromolecules, especially proteins and nucleic acids. Astbury's research laid foundational principles for understanding the molecular structure of these biological materials, which would later be crucial in the field of molecular biology.
Albert Fert is a French physicist who is renowned for his work in the field of magnetism and spintronics. He was awarded the Nobel Prize in Physics in 2007, shared with Peter Grünberg, for their discovery of giant magnetoresistance (GMR), a phenomenon that has significant applications in modern data storage technology, including in hard drives. Their research has contributed to the development of more efficient data storage devices and has had a profound impact on the electronics industry.
Boubacar Kanté is a name that may refer to different individuals, but one well-known figure bearing that name is a Malian politician. He has served in various political capacities within Mali. There may also be athletes or other public figures with the same name, so the context is important in determining which Boubacar Kanté you are referring to.
Daniel Kaplan is a physicist known for his contributions to the fields of particle physics and astrophysics. Though specific details about his work and accomplishments may vary, he is likely to be involved in research that explores the fundamental aspects of matter, energy, and the universe.
Guy F. de Téramond is a prominent figure known primarily for his work in the fields of literature, philosophy, and education. He is recognized as an author and has written extensively on various topics, including the philosophy of education and the intersection of science and spirituality. His insights often explore the relationship between human consciousness and the universe. If you're looking for more specific information or context regarding Guy F.
Jacques Lewiner is a prominent French physicist known for his work in various fields, including condensed matter physics, material science, and nanotechnology. He has also made contributions to the development of different experimental techniques. In addition to his research, Lewiner is involved in academia and has held positions as a professor and administrator in various institutions.

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