Herbert Enderton (1935–2019) was a prominent mathematician known for his work in mathematical logic, particularly in set theory and model theory. He is perhaps best known for his textbook "A Mathematical Introduction to Logic," which is widely used in undergraduate courses on logic and has been influential in the field. Enderton's contributions to mathematical logic include topics such as computability theory, the foundations of mathematics, and formal systems.
Marian Pour-El is a mathematician known for her contributions to logic, particularly in areas related to computability and the foundations of mathematics. She has worked on recursive functions and the relationship between mathematical logic and computer science. Her work often explores the implications of these areas for the understanding of computability and algorithmic processes.
Daniel Siewiorek is a prominent figure in the fields of computer science and engineering, particularly known for his contributions to human-computer interaction, assistive technologies, and wearable computing. He is a professor at Carnegie Mellon University and has been involved in various research projects that focus on the interaction between humans and machines, including robotics and the design of user-friendly systems.
Juliette Kennedy is a mathematician known for her work in the fields of mathematical logic and set theory, particularly in areas related to large cardinals and determinacy. She has contributed to the understanding of descriptive set theory and has collaborated on various research projects within mathematical logic.
Moshe Vardi is a prominent computer scientist and professor known for his contributions to fields such as computational logic, formal methods, and database theory. He is a faculty member at Rice University and has served as the director of the university's Ken Kennedy Institute for Information Technology. Vardi's research often focuses on the intersection of computer science and other disciplines, including his work on logic, databases, and artificial intelligence.
Peter B. Andrews is a distinguished mathematician known for his work in the fields of mathematical logic and the foundations of mathematics, particularly in relation to proof theory and type theory. He made significant contributions to the development of proof-theoretic semantics and has been influential in the study of constructive mathematics.
Verena Huber-Dyson is a mathematician known for her work in the fields of logic, set theory, and the foundations of mathematics. She has made contributions to various areas, including the study of computability and the philosophy of mathematics. Huber-Dyson has also written on topics related to the intersections of mathematics and its philosophical implications. Her research often explores the cognitive and linguistic aspects of mathematical thought.
Warren Goldfarb is a professor of philosophy, known for his work in logic and the philosophy of language. He has contributed to various philosophical discussions and has written extensively on topics related to these fields.
Formal specification languages are mathematically-based languages used to specify and describe the behavior, properties, and requirements of software systems or hardware designs. These languages provide a precise and unambiguous way to express system specifications, making it easier to analyze, verify, and reason about systems before implementation. ### Key Features: 1. **Mathematical Foundations**: Formal specification languages are grounded in mathematics, which helps in providing a clear and unambiguous description of system behavior.
Sensitivity analysis is a powerful tool used in environmental sciences to assess the behavior of models under varying conditions and inputs. It helps scientists, researchers, and policymakers understand how changes in parameters can influence outcomes in complex environmental systems. Here are some key applications of sensitivity analysis in environmental sciences: 1. **Model Calibration and Validation**: Sensitivity analysis helps identify which parameters significantly affect model outputs, facilitating more effective calibration and validation of environmental models. By focusing on the most sensitive parameters, researchers can improve model accuracy.
Charles Taylor is a physicist known for his contributions to various fields within physics. However, there may be some confusion as there are multiple individuals with that name associated with different areas of research. One notable Charles Taylor in the realm of physics is a British physicist known for his work in theoretical physics and for his contributions to the understanding of particle physics and cosmology.
A Cumulative Accuracy Profile (CAP) is a graphical representation used in the field of predictive modeling and classification to evaluate the performance of a model. It helps to visualize how well a model can identify or rank instances within a dataset, typically with regard to a binary outcome (success/failure, yes/no, etc.). ### Key Concepts 1.
The calculus of voting is a theoretical framework used to understand the decision-making process of individuals when participating in elections. The concept is associated with the work of political scientist Anthony Downs, particularly in his influential book "An Economic Theory of Democracy" published in 1957. The calculus of voting posits that individuals weigh the costs and benefits of voting to determine whether or not to participate in the electoral process.
A complex system is a system composed of many interconnected parts or agents that interact with each other in multiple ways, leading to behaviors and properties that are not easily predictable from the behavior of the individual parts alone. These systems are characterized by the following features: 1. **Interconnectedness**: The components of a complex system interact in various ways, and the state of one component can significantly influence the state of others.
A grey box model is a type of modeling approach that combines both empirical data and theoretical knowledge. In contrast to a black box model, where the internal workings of the system are not visible or understood, and a white box model, where everything about the internal processes is known and utilized, a grey box model occupies a middle ground. Key characteristics of grey box models include: 1. **Combination of Knowledge**: Grey box models utilize both qualitative and quantitative data.
Historical dynamics is an interdisciplinary study that examines the processes and patterns of historical change over time. It seeks to understand how various factors—social, economic, political, environmental, and cultural—interact and influence the development of societies and civilizations. Key aspects of historical dynamics include: 1. **Causation and Change**: Investigating how specific events, decisions, or movements lead to significant changes in history, as well as how broader trends influence individual events.
The Effective Selfing Model (ESM) is a theoretical framework used in population genetics and evolutionary biology to understand the dynamics of mating systems in plants, particularly in relation to self-fertilization versus outcrossing. The key components of this model include the effects of self-fertilization on genetic diversity, the potential for inbreeding depression, and the evolutionary consequences of different mating strategies. ### Key Features of the Effective Selfing Model: 1. **Selfing vs.
Equation-free modeling is a computational approach used in scientific research, particularly in complex systems, where the underlying equations governing the dynamics of the system are either unknown, too complex to solve analytically, or too costly to simulate directly. The focus of equation-free modeling is on the system's emergent behavior rather than on deriving explicit equations that dictate that behavior.
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





