As of my last knowledge update in October 2023, "Bullet Group" may refer to a few different entities or concepts depending on the context. It's important to clarify your question for accurate information, but potential interpretations include: 1. **Business or Corporate Entity**: There may be a company or organization called Bullet Group operating in various industries, such as marketing, technology, or logistics.
A "dark-energy star" is a hypothetical astrophysical object that has been proposed in theories discussing the nature of dark energy, which is thought to be responsible for the accelerated expansion of the universe. In the context of these theories, dark-energy stars are envisioned as stellar objects that can exhibit properties influenced by dark energy, in contrast to ordinary stars that are primarily governed by electromagnetic and gravitational forces. The concept is largely theoretical and may involve exotic physics beyond the Standard Model of cosmology.
As of my last knowledge update in October 2023, "Axino" could refer to a few different things depending on context. However, it's not widely recognized as a specific term or entity in mainstream discussions. Here are a couple of possibilities: 1. **Axino Technology**: It could refer to a company or product in the technology sector. There are various companies with similar names, so it would be important to have more context to identify which one you're asking about.
Axion can refer to different concepts depending on the context: 1. **Physics**: In particle physics, an axion is a hypothetical elementary particle that is proposed as a solution to the strong CP (Charge Parity) problem in quantum chromodynamics (QCD). It is a lightweight, neutral particle that could help explain why strong interactions do not seem to violate CP symmetry.
Experiments for dark matter search are scientific endeavors aimed at detecting and understanding dark matter, a mysterious form of matter that makes up about 27% of the universe's mass-energy content but does not emit, absorb, or reflect light, making it invisible and detectable only through its gravitational effects. ### Types of Dark Matter Experiments 1. **Direct Detection Experiments**: - These experiments attempt to detect dark matter particles directly interacting with regular matter.
Fuzzy Cold Dark Matter (FCDM) is a theoretical model in cosmology that seeks to address some challenges associated with cold dark matter (CDM) models, particularly at small scales. In the standard cosmological model, cold dark matter is envisioned as non-relativistic particles that interact only via gravity. Traditional CDM models have been successful in explaining large-scale structures of the universe, such as the distribution of galaxies and galaxy clusters.
This step is genius because sequencing is basically a signal-to-noise problem, as you are trying to observe individual tiny nucleotides mixed with billions of other tiny nucleotides.
With bridge amplification, we group some of the nucleotides together, and multiply the signal millions of times for that part of the DNA.
Johan Ludvig Heiberg (1791–1860) was a Danish historian, playwright, and literary figure. He was an influential figure in 19th-century Denmark and played a significant role in the cultural and intellectual life of his time. Heiberg is known for his contributions to historical writing, literature, and theater, often focusing on topics related to Danish history and culture. Heiberg was part of the Romantic movement and was associated with various literary and artistic circles.
Jesper Lützen is a mathematician known for his work in the field of mathematical logic, particularly in category theory and topology. He has contributed to the understanding of various mathematical concepts and frameworks.
Notation used in quantum mechanics.
Ket is just a vector. Though generally in the context of quantum mechanics, this is an infinite dimensional vector in a Hilbert space like .
Bra is just the dual vector corresponding to a ket, or in other words projection linear operator, i.e. a linear function which can act on a given vector and returns a single complex number. Also known as... dot product.
For example:is basically a fancy way of saying:that is: we are taking the projection of along the direction. Note that in the ordinary dot product notation however, we don't differentiate as clearly what is a vector and what is an operator, while the bra-ket notation makes it clear.
The projection operator is completely specified by the vector that we are projecting it on. This is why the bracket notation makes sense.
It also has the merit of clearly differentiating vectors from operators. E.g. it is not very clear in that is an operator and is a vector, except due to the relative position to the dot. This is especially bad when we start manipulating operators by themselves without vectors.
This notation is widely used in quantum mechanics because calculating the probability of getting a certain outcome for an experiment is calculated by taking the projection of a state on one an eigenvalue basis vector as explained at: Section "Mathematical formulation of quantum mechanics".
Making the projection operator "look like a thing" (the bra) is nice because we can add and multiply them much like we can for vectors (they also form a vector space), e.g.:just means taking the projection along the direction.
Ciro Santilli thinks that this notation is a bit over-engineered. Notably the bra's are just vectors, which we should just write as usual with ... the bra thing makes it look scarier than it needs to be. And then we should just find a different notation for the projection part.
Maybe Dirac chose it because of the appeal of the women's piece of clothing: bra, in an irresistible call from British humour.
But in any case, alas, we are now stuck with it.
Jens Høyrup is a Danish mathematician known for his work in the fields of mathematics education, history of mathematics, and the philosophy of mathematics. He has been active in exploring concepts related to mathematical thinking and the ways in which mathematics is taught and understood. His contributions often emphasize the social and cultural dimensions of mathematics, as well as the importance of historical context in understanding mathematical concepts.
Hieronymus Georg Zeuthen (1839–1920) was a Danish mathematician known for his contributions to various fields, particularly geometry and mathematical education. He is notable for his work on projective geometry and for his role in the development of mathematical teaching methods. Zeuthen made significant contributions to the understanding of the foundations of geometry and had an influence on the study of the history of mathematics.
Asger Aaboe is a Danish mathematician known for his work in the history of mathematics and the development of mathematical education. He is particularly noted for his contributions to the study of ancient Greek mathematics and the history of arithmetic. Aaboe has written extensively on the history of mathematics, including the influence of Babylonian and Greek mathematics on the development of modern mathematical thought. He has also been involved in various educational initiatives, emphasizing the importance of a historical perspective in understanding mathematics.
Anders Hald is best known for his work in statistics and is particularly recognized for his contributions to statistical theory and methods. He was a Danish mathematician and statistician, and one of his notable contributions is the book "A History of Statistical Concepts," which traces the development of statistical ideas over time. Hald's work has significantly influenced the field of statistics, especially in areas involving the foundations of statistical inference and design of experiments.
As of my last knowledge update in October 2023, there isn't a widely known figure or concept primarily associated with the name Alexander Lerner. It's possible that he could be a person of interest in specific fields, such as academia, literature, or another area, but without additional context, it's difficult to provide specific information.
Alfred Inselberg is a notable mathematician recognized for his contributions to various fields, particularly in mathematics and computer science. He is best known for developing the concept of "axis-parallel" and "parallel coordinates," which are techniques for visualizing high-dimensional data. His work in visualization has had significant implications in data analysis, scientific computing, and information visualization. In addition to his work on parallel coordinates, Inselberg has contributed to other areas, including algebra, geometry, and computer graphics.
Anatoly Morozov is a name associated with a prominent Russian scientist known for his work in various scientific fields, including physics, mathematics, or engineering. However, specific details about his contributions, research areas, and achievements may not be widely available or documented in public databases.
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