Here’s a list of films that focus on mathematicians or explore themes related to mathematics: 1. **A Beautiful Mind (2001)** - A biographical film about John Nash, a Nobel Prize-winning mathematician who struggled with schizophrenia. 2. **The Imitation Game (2014)** - A biopic about Alan Turing, a mathematician and logician who played a key role in cracking the Enigma code during World War II.
Mathematics websites are online platforms that offer resources, tools, and content related to mathematics. These websites can serve various purposes including education, problem-solving, research, and collaboration. Here are some categories and examples of mathematics websites: 1. **Educational Platforms:** - **Khan Academy**: Offers video lessons and practice exercises in various math topics. - **Coursera**: Features online courses from universities and institutions on mathematics topics.
There are several films that explore themes related to mathematics, mathematicians, or the impact of mathematics on the world. Here are some notable examples: 1. **Good Will Hunting (1997)** - This film follows the story of a janitor at MIT, Will Hunting, who is a self-taught mathematical genius. After assaulting a police officer, he avoids jail time by agreeing to therapy, where he begins to confront his past and his extraordinary talents.
Physics is a broad field of study that can be categorized into several branches, each focusing on different aspects of physical phenomena. Here are the main branches of physics: 1. **Classical Mechanics**: This branch deals with the motion of objects and the forces that affect them. It includes concepts such as Newton's laws of motion, energy, momentum, and rotations. 2. **Electromagnetism**: This area studies electric charges, electric and magnetic fields, and their interactions.
Quantum mechanics is a fundamental branch of physics that deals with the behavior of matter and energy at the smallest scales, such as atoms and subatomic particles. It departs significantly from classical mechanics, which describes the motion of macroscopic objects. Here are some key principles and concepts of quantum mechanics: 1. **Wave-Particle Duality**: Particles, such as electrons and photons, exhibit both wave-like and particle-like properties.
Plasma physics is the study of plasma, which is one of the four fundamental states of matter, alongside solid, liquid, and gas. Plasma is a collection of charged particles, including ions and electrons, that are not bound together, allowing it to conduct electricity and respond to electromagnetic fields. Because of these properties, plasma is sometimes referred to as an ionized gas.
Nuclear physics is the branch of physics that deals with the study of atomic nuclei, their constituents (protons and neutrons), and the interactions that occur between them. It encompasses a variety of topics, including: 1. **Structure of the Nucleus**: Understanding the arrangement of protons and neutrons within an atomic nucleus, including models that describe nuclear stability and the forces that hold the nucleus together (strong nuclear force).
Experimental physics is a branch of physics that focuses on the observation, experimentation, and measurement of physical phenomena. It involves the design and execution of experiments to test hypotheses, validate theories, and explore the laws of nature. Experimental physicists use a variety of tools and techniques to gather data, ranging from simple laboratory apparatus to complex systems like particle accelerators, telescopes, and other technological instruments.
Condensed matter physics is a branch of physics that deals with the physical properties of condensed phases of matter, particularly solids and liquids. It focuses on understanding how the collective behavior of large numbers of atoms or molecules gives rise to various physical phenomena. Key areas of research in condensed matter physics include: 1. **Crystallography and Solid State Physics**: Study of the arrangement of atoms in solids and the resulting properties, such as electrical conductivity, magnetism, and optical behaviors.
Classical mechanics is a branch of physics that deals with the motion of objects and the forces that affect that motion. It describes the behavior of macroscopic objects, from everyday objects like cars and projectiles to celestial bodies like planets and stars, under the influence of various forces. Classical mechanics is primarily governed by Newton's laws of motion, which were formulated by Sir Isaac Newton in the 17th century.
Atomic, Molecular, and Optical (AMO) physics is a branch of physics that deals with the study of atoms, molecules, and their interactions with light and other forms of electromagnetic radiation. This field encompasses a variety of processes and phenomena, and it can be divided into three main areas: 1. **Atomic Physics**: This area focuses on the structure and behavior of single atoms. Key topics include atomic energy levels, electron transitions, ionization, and the effects of external fields on atomic systems.
Astrophysics is a branch of astronomy that focuses on understanding the physical properties and underlying phenomena of celestial objects and the universe as a whole. It combines principles from physics and astronomy to study a wide range of topics, including the formation, evolution, and behavior of stars, galaxies, black holes, nebulae, and the overall structure of space-time.
Applied and interdisciplinary physics is a broad field that focuses on the practical application of physical principles and theories to solve real-world problems. It often involves collaboration between physics and other disciplines, integrating concepts and techniques from various areas to address complex issues. Here's a more detailed breakdown: ### Applied Physics **Definition**: Applied physics is the branch of physics that deals with the application of physical principles to develop new technologies, processes, or materials. It often overlaps with engineering disciplines.
In probability theory and statistics, a "realization" refers to a specific outcome or instance of a random variable or stochastic process. When you conduct an experiment or observe a phenomenon that can result in different outcomes, each distinct outcome is a realization of the underlying random variable.
Indigenous statistics refers to the collection, analysis, and interpretation of data that relates specifically to Indigenous peoples and communities. This field recognizes the unique cultural, social, political, and economic contexts of Indigenous populations and emphasizes the importance of using methodologies that are respectful and culturally appropriate. Key aspects of Indigenous statistics include: 1. **Culturally Relevant Frameworks**: Indigenous statistics often draw on traditional knowledge systems and concepts that are relevant to Indigenous communities, integrating these with quantitative and qualitative data.
"Bad control" can refer to several concepts depending on the context in which it is used. Here are a few interpretations: 1. **Management and Leadership**: In organizational behavior, "bad control" may refer to ineffective management practices that lead to poor employee performance, low morale, or an unhealthy workplace culture. This might involve micromanagement, lack of clear communication, or failure to provide adequate support and resources.
Statistical regions are defined areas that are used for the collection, analysis, and presentation of statistical data. These regions are created to facilitate the comparison and aggregation of various demographic, economic, and social statistics across different geographical areas. The characteristics of statistical regions can vary widely based on the purpose of the analysis and the types of data being collected.
The Ξ function, also known as the "Xi" function, is a mathematical function that is closely related to the Riemann zeta function. Specifically, it is defined in terms of the Riemann zeta function and has significance in number theory and the study of prime numbers.
Ε-net typically refers to a specific term or acronym depending on the context in which it is used. However, without additional context, it's challenging to provide a precise definition. In some cases, it could refer to networks involving electronic communication, educational networks, or even specific organizations or services with "E-net" in their name. If you have a specific context or field in which "Ε-net" is used (e.g.
The Zero-One Law is a concept from probability theory that relates to the behavior of certain events in probability spaces, particularly in the context of infinite sequences or trials. The essence of the Zero-One Law is that for a given class of events, some events will occur with probability 0, while others will occur with probability 1. ### Overview: 1. **Definition**: A statement or event \( A \) is said to have a probability of 0 or 1, i.e.

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