Heterostasis is a concept from cybernetics that refers to the ability of a system to maintain stability through adaptation and change. Unlike homeostasis, which focuses on maintaining equilibrium or stability within a system by counteracting disturbances, heterostasis acknowledges that systems must sometimes adjust or change their functioning in response to varying external conditions in order to maintain overall stability. In cybernetic terms, heterostasis emphasizes the dynamic interactions and feedback loops that allow a system to respond effectively to external influences and changes.
Derrick's theorem is a result in the field of mathematical physics, particularly in the study of field theories and solitons. It concerns the stability of soliton solutions to certain field equations, specifically addressing the stability under small perturbations of the solutions. The theorem states that if a field configuration (such as a soliton) is localized and satisfies certain energy conditions, then it is stable against small perturbations if and only if its energy does not decrease under rescaling of the spatial variables.
Γ-convergence is a concept in the field of mathematical analysis, particularly in the study of functional analysis, calculus of variations, and optimization. It provides a way to analyze the convergence of functionals (typically a sequence of functions or energy functionals) in a manner that is particularly useful when studying minimization problems and variational methods.
The Sørensen–Dice coefficient (also known simply as the Dice coefficient or Dice similarity coefficient) is a statistical measure used to gauge the similarity between two sets. It is particularly useful in fields such as biology, natural language processing, and image analysis, where it helps in comparing the similarity and diversity of sample sets.
As of my last update in October 2023, "Gigapackets" isn't a widely recognized term in technology or networking. However, it can segment into two familiar concepts: "giga" which often refers to a billion (10^9) and is used in contexts related to data measurement (like gigabytes or gigabits), and "packets" which refers to units of data formatted for transmission over network protocols.
Computed tomography (CT) of the thyroid refers to the use of computed tomography imaging techniques to obtain detailed cross-sectional images of the thyroid gland and surrounding structures in the neck. This diagnostic imaging modality provides information about the anatomy and pathologies of the thyroid, such as nodules, tumors, cysts, and inflammatory conditions.
The Society of Cardiovascular Computed Tomography (SCCT) is a professional organization dedicated to advancing the field of cardiovascular imaging, particularly through the use of computed tomography (CT) technology. Founded in 2005, SCCT focuses on improving patient care and healthcare outcomes by promoting education, research, and collaboration in cardiovascular CT.
Alan Turing was a British mathematician, logician, cryptanalyst, and computer scientist, widely regarded as one of the fathers of computer science and artificial intelligence. Born on June 23, 1912, Turing made significant contributions to various fields, including mathematics, logic, and computer science. One of his most notable accomplishments during World War II was his work at Bletchley Park, where he played a crucial role in breaking the German Enigma code.
Anne Condon is a notable computer scientist known for her work in computational complexity theory, algorithms, and bioinformatics. She has made significant contributions to various areas of computer science, particularly in understanding the computational limits of problems and the design of efficient algorithms. Condon has held academic positions, including being a faculty member at institutions like the University of British Columbia. Her research often explores the intersection of computer science and biology, particularly in developing algorithms for analyzing biological data and understanding biological processes through a computational lens.
James D. Murray is a prominent figure in the field of applied mathematics and mathematical biology. He is best known for his contributions to mathematical modeling in biological systems, including ecology, epidemiology, and the spread of diseases. His work often involves using differential equations to describe dynamic systems in biology. Murray is also the author of the influential textbook "Mathematical Biology," which has been used widely in academia to teach the principles of applying mathematical techniques to biological problems.
Joel E. Cohen is a distinguished mathematician and researcher known for his work in various fields, including mathematical biology, ecological modeling, and applied mathematics. He is recognized for his contributions to understanding population dynamics, demographics, and resource management through quantitative methods. Cohen has held academic positions at institutions such as Columbia University, where he has engaged in interdisciplinary research that intersects science, mathematics, and social issues. His work often focuses on complex systems and how mathematical models can inform our understanding of biological and ecological processes.
Michael Turelli is an American biologist and professor known for his work in evolutionary biology, particularly in the fields of population genetics and evolutionary theory. His research often focuses on the genetic and ecological dynamics of species, including studies on speciation, the role of genetic variation in adaptation, and the maintenance of genetic diversity in populations. He has made contributions to our understanding of how evolutionary processes shape biological diversity.
Nicholas Humphrey is a British psychologist and a prominent figure in the fields of psychology and philosophy of mind. He is known for his work on consciousness, perception, and the evolutionary basis of human thought. Humphrey has proposed various theories about the nature of consciousness, suggesting that it plays a crucial role in social interaction and self-awareness. He is also noted for his ideas on how consciousness may have evolved as an adaptive trait that enhances social functioning and survival.
Steven S. Andrews could refer to various individuals or a specific person, but without additional context, it is difficult to provide a precise answer. If you are referring to a notable figure in a particular field such as science, literature, business, or another area, please provide more details or context to help identify which Steven S.
Stuart Kauffman is an American theoretical biologist, complex systems researcher, and author known for his work in the fields of biology, evolution, and the origins of life. He is a prominent figure in complexity science and is known for his concepts related to self-organization, emergent behavior in biological systems, and the origins of biological complexity.
The Cox-Ingersoll-Ross (CIR) model is a mathematical model used to describe the dynamics of interest rates. It is part of the class of affine term structure models and is particularly known for its ability to capture the behavior of interest rates in a way that ensures non-negative rates. The CIR model was introduced by economists David Cox, Jonathan Ingersoll, and Stephen Ross in the early 1980s.
The Ho–Lee model is a mathematical model used in finance to describe the dynamics of interest rates. Developed by Thomas Ho and Sang-Bin Lee in 1986, this model is notable for its simplicity and ability to handle the term structure of interest rates, making it useful for pricing various interest rate derivatives and managing interest rate risk.
The Malliavin derivative is a fundamental concept in stochastic analysis, specifically in the theory of stochastic calculus, particularly in the context of the Malliavin calculus. This calculus is used to analyze the properties of random variables defined on a probability space, which can be influenced by stochastic processes like Brownian motion. ### Key Features of the Malliavin Derivative: 1. **Definition**: The Malliavin derivative is an operator that allows the differentiation of random variables with respect to a Wiener process.
The phrase "All models are wrong, but some are useful" is a concept in statistics and scientific modeling that highlights the inherent limitations of models. It was popularized by the statistician George E.P. Box. The idea behind this statement is that no model can perfectly capture reality; every model simplifies complex systems and makes assumptions that can lead to inaccuracies. However, despite their imperfections, models can still provide valuable insights, help us understand complex phenomena, and aid in decision-making.
A Completely Randomized Design (CRD) is a type of experimental design used in statistics where all experimental units are randomly assigned to different treatment groups without any constraints. This design is typically used in experiments to compare the effects of different treatments or conditions on a dependent variable. ### Key Features of Completely Randomized Design: 1. **Random Assignment**: All subjects or experimental units are assigned to treatments randomly, ensuring that each unit has an equal chance of receiving any treatment.
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





