SimThyr is a mathematical model used for simulating the dynamics of thyroid hormone levels in the human body. It is primarily used in medical research and endocrinology to understand and predict how various factors affect thyroid hormone regulation and metabolism. The model typically incorporates parameters such as hormone production, feedback mechanisms involving the hypothalamus and pituitary gland, and the body's response to different physiological states.
Kuhn's theorem can refer to several concepts in different fields, but one of the most prominent is related to game theory and social choice theory, specifically "Kuhn's theorem" regarding extensive form games and backward induction. In the context of game theory, Kuhn's theorem states that in certain types of complete information games represented in extensive form, rational players will make choices that can be predicted based on the backward induction method.
Quantum economics is a relatively new interdisciplinary field that applies concepts and principles from quantum mechanics to economic theories and models. It seeks to understand economic phenomena using the frameworks and insights derived from quantum theory, which traditionally deals with the behavior of very small particles at the atomic and subatomic levels. The incorporation of quantum concepts aims to address limitations in classical economic theories that often assume rational behavior and deterministic outcomes.
The Ramsey problem is a foundational issue in the field of economics, particularly in the area of optimal growth theory. It is named after the British economist Frank P. Ramsey, who introduced the concept in his 1928 paper on intertemporal economic planning. In essence, the Ramsey problem involves determining the optimal way to allocate resources over time to maximize overall welfare or utility.
Short-rate models are a class of mathematical models used in finance to describe the evolution of interest rates over time. In these models, the short rate, which is the interest rate for a very short period (often taken to be instantaneous), serves as the key variable. The models often aim to capture the dynamics of interest rates to assist in pricing fixed income securities, managing interest rate risk, and understanding the term structure of interest rates.
A bid-ask matrix is a tool used in trading and finance to represent the relationship between the bid prices (the prices buyers are willing to pay) and ask prices (the prices sellers are willing to accept) for a particular asset, such as stocks, currencies, or commodities. This matrix provides a visual way to understand the spread between the bid and ask prices across a range of quantities or orders. ### Components of a Bid-Ask Matrix 1.
The Carr–Madan formula is a method used in financial mathematics, specifically in the pricing of options and other derivatives. It provides a way to compute the price of an option by using Fourier transform techniques and is particularly useful for options with complex payoff structures. The formula relates the price of a European call or put option to the characteristic function of the underlying asset's log return distribution.
A correlation swap is a financial derivative that allows two parties to exchange cash flows based on the correlation between the prices of different underlying assets, typically equities or equity indices. In a correlation swap, one party pays a fixed correlation rate, while the other party pays a floating rate that is typically tied to the observed correlation between the returns of a specified set of assets over a predetermined period.
Girsanov's theorem is a fundamental result in the theory of stochastic processes, particularly in the field of stochastic calculus and quantitative finance. It provides a way to change the probability measure under which a stochastic process is defined, transforming it into another process that may have different characteristics. This is particularly useful in financial mathematics for pricing derivatives and in risk management. ### Key Concepts: 1. **Stochastic Processes**: A stochastic process is a collection of random variables indexed by time or space.
The International Association for Quantitative Finance (IAQF) is a professional organization dedicated to promoting the field of quantitative finance. Established to foster research, education, and the exchange of ideas among professionals and academics in this domain, the IAQF serves as a platform for networking and collaboration. Key activities of the IAQF may include hosting conferences, seminars, and workshops that cover various aspects of quantitative finance, such as risk management, analytics, financial modeling, and algorithmic trading.
A Master of Quantitative Finance (MQF) is a graduate-level degree program that focuses on the application of quantitative techniques, mathematical modeling, and statistical analysis to solve problems in finance and investment. The program combines principles from finance, mathematics, statistics, and computer science to prepare students for careers in financial analysis, risk management, investment banking, asset management, and other areas of the financial industry.
Negative probability is a concept that arises in some theoretical contexts in probability theory, but it is not part of standard probability theory where probabilities are defined to be non-negative and sum up to one for a given probability space. In classical probability theory, a probability value must lie within the range of 0 to 1, inclusive. However, the idea of negative probabilities has been discussed in areas such as quantum mechanics, information theory, and some branches of statistical physics.
PCLake is a platform designed for the analysis and management of Point Cloud data, which is often generated by 3D scanning technologies such as LiDAR (Light Detection and Ranging). Point clouds consist of a large number of points that represent the surfaces of objects in a three-dimensional space. PCLake enables users to visualize, manipulate, and analyze this data for various applications, such as geographic information systems (GIS), urban planning, environmental monitoring, and more.
Statistical finance is an interdisciplinary field that combines statistics, mathematics, and finance to analyze financial data and make informed decisions regarding investment and risk management. It employs statistical methods and models to evaluate financial markets, assess risks, and forecast future price movements of stocks, bonds, derivatives, and other financial instruments. Key aspects of statistical finance include: 1. **Data Analysis**: Statistical finance involves the analysis of historical financial data to identify trends, patterns, and relationships that can inform investment strategies.
A Stochastic Partial Differential Equation (SPDE) is a type of differential equation that involves random processes. It combines the concepts of partial differential equations (PDEs) with stochastic processes, allowing for the modeling of systems that exhibit uncertainty or randomness in their dynamics. ### Key Characteristics: 1. **Partial Differential Equations (PDEs)**: - PDEs are equations that involve multivariable functions and their partial derivatives.
Structured criticality is a concept that arises in the context of complex systems and theoretical physics, particularly in the study of phase transitions and self-organized criticality. It refers to systems that exhibit critical behavior or critical phenomena that is organized or structured, rather than random or purely chaotic. In systems exhibiting structured criticality, certain patterns, correlations, or structures can emerge as the system approaches a critical point.
Systems medicine is an interdisciplinary field that integrates systems biology, computational modeling, and clinical practice to better understand complex diseases and develop personalized treatment strategies. It employs a holistic approach that takes into account the interactions between various biological systems, including genetic, epigenetic, proteomic, metabolomic, and environmental factors.
Evaluation is a systematic process of assessing the value, quality, or effectiveness of a program, project, product, or policy. It involves the collection and analysis of information to determine how well something is working and to identify areas for improvement. Evaluation can take many forms, such as formative (conducted during the development or implementation of a project to improve its design), summative (conducted after implementation to assess its outcomes and impacts), and developmental (focused on understanding and improving processes over time).
Media analysis is a systematic examination and evaluation of various forms of media content, including print, broadcast, and digital media. The objective is to understand how media messages are constructed, how they influence public opinion, and the impact they have on society and culture. It can involve the study of various elements, including: 1. **Content Analysis**: This involves quantitatively or qualitatively analyzing media content to identify patterns, themes, and trends.
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





