Alessandra Buonanno is a prominent physicist known for her work in gravitational wave astronomy and theoretical physics. She is recognized for her contributions to the understanding of gravitational wave signals, particularly in the context of binary systems, such as black hole mergers and neutron star collisions. Buonanno's research often involves developing analytical models and sophisticated data analysis techniques to help interpret signals detected by gravitational wave observatories like LIGO and Virgo.
André LeClair is a Canadian mathematician known for his work in the field of algebraic topology, particularly in relation to operads and their applications in various areas of mathematics. He has contributed to theoretical developments and is associated with collaborative research in mathematics.
Alethic modality refers to the mode of truth regarding propositions, particularly concerning necessity and possibility. The term "alethic" is derived from the Greek word "aletheia," meaning "truth." In philosophical logic, alethic modalities express different ways in which statements can be true or false based on necessity, possibility, and impossibility. There are three primary alethic modalities: 1. **Necessity**: A statement is necessarily true if it cannot be false.
Alexander Pines is a prominent American chemist known for his contributions to the fields of nuclear magnetic resonance (NMR) and magnetic resonance imaging (MRI). He is a professor at the Stanford University Department of Chemistry and has made significant advancements in both fundamental and applied aspects of magnetic resonance technology. His work encompasses various applications, including the development of novel NMR techniques and their use in studying complex molecular systems. Pines is recognized for his influential research and has received numerous awards in recognition of his contributions to science.
Alexander Szameit is a prominent physicist known for his research in the field of photonics, particularly focusing on topics like light propagation in complex media, nonlinear optical phenomena, and integrated optics. He has worked on various applications of these areas, including waveguides, photonic crystals, and solitons. Szameit has published numerous scientific papers and has contributed significantly to advancements in both theoretical and experimental aspects of optics and photonics.
Kleene's algorithm is a method for determining whether a given regular expression (or finite automaton) captures a certain language, often used in the context of formal language theory and automata theory. It is named after Stephen Kleene, who made significant contributions to the field of theoretical computer science.
Alexis-Marie de Rochon was a French astronomer and scientist known for his contributions to the field of astronomy in the 18th century. He is particularly noted for his work in observational astronomy, where he made significant observations of celestial bodies and contributed to the understanding of planetary movements. Rochon is also known for his involvement in the scientific community of his time, participating in discussions and projects related to astronomy. His studies often focused on the measurement of celestial distances and the improvement of observational techniques.
Alfvén's theorem is a principle in plasma physics, specifically within the context of magnetohydrodynamics (MHD). It describes the behavior of plasma in the presence of a magnetic field and is named after the Swedish physicist Hannes Alfvén, who received the Nobel Prize in Physics in 1970 for his work in this area.
Algebra and Number Theory are two fundamental branches of mathematics, each with distinct focus areas but also with some interconnections. ### Algebra Algebra is the branch of mathematics that deals with symbols and the rules for manipulating these symbols. It encompasses a wide variety of topics, but some key elements include: 1. **Expressions, Equations, and Inequalities**: In algebra, you work with mathematical expressions and solve equations and inequalities involving variables.
Algebraic surfaces are a central topic in algebraic geometry, a branch of mathematics that studies the solutions to polynomial equations and their geometric properties. Specifically, an algebraic surface is defined as the locus of points in three-dimensional space \(\mathbb{C}^3\) (or a projective space) that satisfy a polynomial equation in two variables, typically over the complex numbers \(\mathbb{C}\).
Galileo's Leaning Tower of Pisa experiment is an anecdotal account of a famous thought experiment demonstrating that the acceleration due to gravity is the same for all objects, regardless of their mass. The story suggests that Galileo dropped two spheres of different masses (often described as a heavier metal ball and a lighter wooden ball) from the Leaning Tower of Pisa in the late 16th century.
Allvar Gullstrand was a Swedish ophthalmologist and a Nobel Prize laureate born on June 5, 1862, and he passed away on July 28, 1930. He is best known for his work in the field of vision and optics.
Polyptoton is a rhetorical device that involves the repetition of a word in different forms or grammatical cases within the same sentence or passage. This technique often emphasizes a particular concept or theme by showcasing the versatility of the word and its meanings. It can also create a pleasing rhythmic effect in the text.
Alice Bean is a significant figure in the field of physics, known primarily for her work in experimental particle physics. She has contributed to various research efforts, particularly in the study of neutrinos and other fundamental particles. Her work often involves large-scale experiments and collaboration with international research teams at institutions such as CERN or Fermilab.
Alice Burks is a notable figure in the history of computer science, particularly recognized for her contributions to the development of early computing concepts and technologies. She was a key member of the team that worked on the ENIAC (Electronic Numerical Integrator and Computer), one of the first general-purpose digital computers, during the 1940s.
Alice White was an American physicist known for her significant contributions to the fields of nuclear physics and radiochemistry. Born in 1900, she was one of the early female scientists in a predominantly male field, and she played an important role in the development of nuclear science. White is perhaps best known for her work at the Massachusetts Institute of Technology (MIT) and the U.S. Atomic Energy Commission.
Precision and recall are two important metrics used to evaluate the performance of classification models, particularly in settings where the classes are imbalanced or when the cost of false positives and false negatives differs significantly. ### Precision - **Definition**: Precision is the ratio of true positive predictions to the total number of positive predictions made by the model. It answers the question: "Of all the instances that were predicted as positive, how many were actually positive?
As of my last knowledge update in October 2021, Allan Birnbaum is not a widely recognized public figure or term in mainstream discourse. It's possible that he might be an individual known within specific contexts, such as academia, local community, arts, or other fields, but detailed information about him isn't readily available.
Shashikumar Chitre is a notable Indian astrophysicist known for his contributions to the field of astrophysics and astronomy. He has made significant advancements in areas such as stellar dynamics and cosmic structure. In addition to his scientific work, Chitre has been involved in various educational and public outreach initiatives to promote scientific understanding and interest in astronomy.
Paul Callaghan may refer to different individuals, but one notable figure is the New Zealand physicist and biophysicist who was known for his work in the field of science and his contributions to advancing science education in New Zealand. He was also a prominent advocate for science communication and public understanding of science. Callaghan received various awards for his research and was well-respected in the scientific community.

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