Approximate Bayesian Computation (ABC) is a computational method used in statistics for performing Bayesian inference when the likelihood function of the observed data is intractable or difficult to compute. It is particularly useful in scenarios where we have complex models or simulations, such as in population genetics, ecology, and systems biology. ### Key Concepts of ABC: 1. **Bayesian Framework**: ABC operates within the Bayesian framework, which incorporates prior beliefs about parameters and updates these beliefs based on observed data.
As of my last update in October 2023, the most valuable NBA teams according to Forbes were led by franchises such as the New York Knicks, Los Angeles Lakers, and Chicago Bulls, among others. The list often fluctuates year by year based on factors like team performance, market size, and revenue generation.
The National Basketball Association (NBA) statistical leaders are the players who excel in various statistical categories during the regular season and playoffs. These statistics can include points, rebounds, assists, steals, blocks, field goal percentage, free throw percentage, three-point percentage, and several other metrics related to player performance. Here are some of the key statistical categories and examples of what they measure: 1. **Points Per Game (PPG)**: Measures the average number of points a player scores per game.
Bayes' theorem is a fundamental theorem in probability and statistics that describes how to update the probability of a hypothesis as more evidence or information becomes available. It allows us to calculate the conditional probability of an event based on prior knowledge of conditions related to the event.
Extrapolation Domain Analysis (EDA) is a method used in various fields such as engineering, data analysis, and scientific research to understand and predict the behavior of systems or processes when data is obtained from a limited range of conditions. The fundamental goal of EDA is to extend the understanding of phenomena beyond the range of data where observations have been made. ### Key Aspects of Extrapolation Domain Analysis 1. **Understanding Limitations**: EDA involves recognizing the limitations of the data.
Generalized Likelihood Uncertainty Estimation (GLUE) is a probabilistic framework used for uncertainty analysis in environmental modeling and other fields, particularly in the context of hydrology and ecological modeling. The method provides a way to assess the uncertainty associated with model predictions, which can arise due to various factors such as parameter uncertainty, model structural uncertainty, and stochastic inputs.
Prior probability, often referred to simply as "prior," is a fundamental concept in Bayesian statistics. It represents the probability of an event or hypothesis before any new evidence or data is taken into account. In other words, the prior reflects what is known or believed about the event before observing any occurrences of it or collecting new data.
Johan Gielis is a Belgian mathematician known for his work in the field of mathematical shapes and designs. He is particularly recognized for introducing the Gielis curve, which is a mathematical generalization that encompasses many well-known shapes, including ellipses, circles, and other more complex figures.
Belgrade, the capital of Serbia, is situated at the confluence of two major rivers: the Sava and the Danube. This strategic location at the crossroads of Central and Southeastern Europe has played a significant role in the city’s history and development. ### Geographic Features: 1. **Rivers**: - **Sava River**: Flows from the southwest and meets the Danube in Belgrade. It has been crucial for trade and transportation.
Frans-H. van den Dungen is not widely recognized in popular culture or mainstream media, which suggests he may be a lesser-known or specialized figure in a particular field. Without additional context, it is difficult to determine who he is or his significance. He could be an academic, professional, or expert in a specific area.
Georges Hostelet is not widely recognized in popular culture, academia, or notable historical contexts as of my last update. It is possible that the name could refer to a lesser-known individual, perhaps in a specific field like art, academia, or business, or it may refer to a fictional character or a local figure that hasn't gained broad recognition.
Stefan Langerman is a notable figure in the field of mathematics, particularly known for his work in geometric topology, algebraic topology, and related areas. He has contributed to various mathematical studies, including research on homotopy theory and manifold theory.
"Communication of falsehoods" refers to the act of conveying information that is untrue or misleading. This can occur in various contexts, including spoken or written communication, and can involve outright lies, exaggerations, or misrepresentations of facts. Such communication can take many forms: 1. **Lying**: Intentionally stating something that is not true. 2. **Misinformation**: Sharing information that is incorrect, regardless of intent (e.g., spreading rumors or outdated data).
Credibility refers to the quality of being trusted, believable, and reliable. It is an assessment of a person's or entity's ability to provide accurate information, demonstrate competence, and uphold integrity. Credibility is essential in various fields, including journalism, academia, politics, and business, as it influences how others perceive and accept information or the claims made by individuals or organizations.
Delusion is a belief or an impression that is firmly maintained despite being contradicted by reality or rational argument. It is often found in various psychiatric conditions, such as schizophrenia, delusional disorder, and certain mood disorders. Delusions can take many forms, including: 1. **Paranoid Delusions**: Believing that one is being persecuted or harassed.
Syncretism is the amalgamation or blending of different beliefs, practices, or traditions, often seen in the contexts of religion, culture, and philosophy. It involves the merging of diverse elements, which may include ideas, rituals, symbols, and institutions from distinct systems, leading to new forms of expression or understanding. In religious contexts, syncretism often occurs when two or more religious traditions interact, leading to the incorporation of elements from one religion into another.
Doxastic attitudes refer to an individual's mental states concerning belief or acceptance regarding a proposition. Specifically, they encompass the various ways in which a person might hold beliefs, such as believing, doubting, wondering, or being uncertain about something. In philosophy, particularly in epistemology, doxastic attitudes are important for understanding how people form beliefs, the justification for those beliefs, and how beliefs influence actions and decision-making.

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