Charles Drummond Ellis, often referred to in databases and literature, is not a universally recognized figure like many public figures or historical personalities. It is possible you might be referring to a lesser-known individual, a niche expert in a specific field, or a character from a story or text.
A qubit, or quantum bit, is the fundamental unit of quantum information in quantum computing. Unlike a classical bit, which can represent a value of either 0 or 1, a qubit can exist in a superposition of both states at the same time. This property allows quantum computers to perform complex calculations more efficiently than classical computers for certain problems.
Thomas Harriot (1560–1621) was an English mathematician, astronomer, and explorer, known for his contributions to various fields of science and for being one of the first to use a telescope for astronomical observations in England. He is perhaps best known for his work "A Brief and True Report of the New Found Land of Virginia," in which he documented the flora, fauna, and indigenous peoples of the region during his time as a member of an expedition to the Americas.
As of my last update in October 2021, there isn't a recognized figure, product, or concept widely known as "Vincenzo Mollame." It's possible that it's a name related to a specific individual, perhaps in arts, sciences, or another field, or it could be a term that has emerged more recently. If it's a recent development or individual, I may not have that information.
Wallace Smith Martindale was an American biologist and geneticist known for his contributions to the study of genetics and evolution. He is particularly recognized for his work in the fields of cytogenetics and plant breeding. Martindale's research involved the study of polyploid organisms and how genetic changes can influence the characteristics of these organisms over time.
Computer algebra, also known as symbolic computation or algebraic computation, refers to the study and development of algorithms and software that perform algebraic manipulations in a symbolic rather than numeric form. This field allows for the manipulation of mathematical expressions, solving equations, and performing other algebraic tasks using symbols rather than numerical approximations.
Here is a list of notable textbooks in thermodynamics and statistical mechanics that are widely used in academia: ### Classical Thermodynamics 1. **"Thermodynamics: An Engineering Approach" by Yunus Çengel and Michael Boles** - This book focuses on thermodynamics principles with an engineering application perspective. 2. **"Fundamentals of Thermodynamics" by Richard E. Sonntag, Claus Borgnakke, and Gordon J.
The bane of multicellularity.
In mathematical physics, particularly in the context of quantum field theory and string theory, a "loop integral" refers to an integral over a loop in momentum space, which arises when calculating certain types of Feynman diagrams during the process of evaluating quantum amplitudes. ### Key Points about Loop Integrals: 1. **Feynman Diagrams**: Loop integrals occur in Feynman diagrams that contain loops, indicating virtual particles that propagate between interactions.
The Bareiss algorithm is an efficient method used in numerical linear algebra for the computation of the determinant of a matrix. Developed by Hans Bareiss in the 1960s, this algorithm is particularly notable for its use of rational arithmetic, which helps in reducing numerical errors associated with floating-point computations.
Concurrent estimation is a statistical or computational method used to estimate multiple parameters or quantities simultaneously rather than sequentially. This approach can be applied in various fields such as statistics, machine learning, control systems, and more. The core idea is to leverage the relationships and dependencies among the parameters being estimated to improve the accuracy and efficiency of the estimation process.
What does it mean that photons are force carriers for electromagnetism? by 
Ciro Santilli 37 Updated 2025-06-17 +Created 1970-01-01
Ciro Santilli 37 Updated 2025-06-17 +Created 1970-01-01TODO find/create decent answer.
I think the best answer is something along:
- local symmetries of the Lagrangian imply conserved currents. gives conserved charges.
- OK now. We want a local symmetry. And we also want:Given all of that, the most obvious and direct thing we reach a guess at the quantum electrodynamics Lagrangian is Video "Deriving the qED Lagrangian by Dietterich Labs (2018)"
- Dirac equation: quantum relativistic Newton's laws that specify what forces do to the fields
- electromagnetism: specifies what causes forces based on currents. But not what it does to masses.
A basic non-precise intuition is that a good model of reality is that electrons do not "interact with one another directly via the electromagnetic field".
A better model happens to be the quantum field theory view that the electromagnetic field interacts with the photon field but not directly with itself, and then the photon field interacts with parts of the electromagnetic field further away.
The more precise statement is that the photon field is a gauge field of the electromagnetic force under local U(1) symmetry, which is described by a Lie group. TODO understand.
This idea was first applied in general relativity, where Einstein understood that the "force of gravity" can be understood just in terms of symmetry and curvature of space. This was later applied o quantum electrodynamics and the entire Standard Model.
From Video "Lorenzo Sadun on the "Yang-Mills and Mass Gap" Millennium problem":
- www.youtube.com/watch?v=pCQ9GIqpGBI&t=1663s mentions this idea first came about from Hermann Weyl.
- youtu.be/pCQ9GIqpGBI?t=2827 mentions that in that case the curvature is given by the electromagnetic tensor.
Bibliography:
- www.youtube.com/watch?v=qtf6U3FfDNQ Symmetry and Quantum Electrodynamics (The Standard Model Part 1) by ZAP Physics (2021)
- www.youtube.com/watch?v=OQF7kkWjVWM The Symmetry and Simplicity of the Laws of Nature and the Higgs Boson by Juan Maldacena (2012). Meh, also too basic.
A Q-ball is a theoretical concept in the field of particle physics and cosmology. It refers to a type of non-topological soliton, which is a stable, localized solution of field equations in certain scalar field theories. Q-balls can arise in models that involve scalar fields with a global U(1) symmetry and are characterized by a conserved charge, denoted as \(Q\).
Bibliograpy:
- Losing Track by Channel 4 (1984), especially episode 5
- www.theguardian.com/uk/2013/mar/02/beeching-wrong-about-britains-railwaysToday the makeup of UK transport looks very different from the one envisaged by Dr Beeching. Rail passenger figures have almost doubled over the past 10 years; commuter trains are crammed; young people are deserting the car for the train; and Britain's railway bosses are struggling to meet soaring demands for seats. The legacy of Beeching - dug-up lines, sold-off track beds and demolished bridges - has only hindered plans to revitalise the network, revealing the dangers of having a single, inflexible vision when planning infrastructure."The crucial lesson to take from the Beeching anniversary is that you have to be flexible when planning transport infrastructure. Beeching was not," says Colin Divall, professor of rail history at York University. "Yes, many loss-making lines did need closing down, but nowhere near the number earmarked by Beeching, as we can now see with terrible hindsight."
Factorization of polynomials is the process of breaking down a polynomial into a product of simpler polynomials, often called "factors." This process is similar to factoring numbers into their prime components. The goal of factorization is to express the polynomial as a product that is easier to work with or to solve equations involving the polynomial.
The Journal of Symbolic Computation is an academic journal that focuses on the area of symbolic computation, which involves the manipulation of mathematical expressions in symbolic form rather than in numerical form. Symbolic computation encompasses a wide range of topics, including but not limited to algebraic computation, computer algebra systems, automated reasoning, formal verification, and logic. The journal publishes original research articles, surveys, and reviews that contribute to the development and application of symbolic computation techniques and methodologies.
Pinned article: ourbigbook/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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.
Figure 3. Visual Studio Code extension installation.
Figure 5. . 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. 
- 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