The Double Fourier Sphere Method (DFSM) is an advanced computational technique employed primarily in the fields of signal processing, acoustics, and electromagnetic scattering. This method is particularly useful for solving problems related to wave propagation, scattering, and imaging in complex and three-dimensional environments. ### Key Concepts: 1. **Fourier Transforms**: The method utilizes the principles of Fourier transforms, which decompose functions (such as waveforms) into their constituent frequencies.
In ancient Egyptian mythology, Nu (or Nun) is the personification of the primordial waters of chaos that existed before creation. He is often depicted as a male figure who embodies the dark, chaotic, and formless waters that were believed to be the source of all life. Nu is frequently associated with the concept of the god Atum, who emerged from the waters of Nu during the process of creation.
The Van Cittert–Zernike theorem is a fundamental result in the field of imaging and optics, particularly relevant to the theory of image formation in astronomy and other fields where diffraction-limited imaging is important. The theorem provides a mathematical framework for understanding how the intensity distribution of a diffraction-limited image can be reconstructed from the visibility of spatial frequencies in an observed object.
The G-dwarf problem is a phenomenon in astrophysics and astronomy related to the abundance of certain types of stars, specifically G-type main-sequence stars (often referred to as "G-dwarfs"). These stars are similar to our Sun and are characterized by certain characteristics, such as their temperature and luminosity. The problem arises when astronomers try to account for the number of G-dwarf stars in the Milky Way galaxy.
Ultra-high-energy cosmic rays (UHECRs) are extremely energetic particles originating from outer space that strike Earth with energies exceeding \(10^{18}\) electron volts (eV). To put this into perspective, these energies are several orders of magnitude greater than those produced in the most powerful man-made particle accelerators on Earth. UHECRs are primarily composed of protons, although they can also include heavier nuclei and possibly other types of particles.
Chaos deities are supernatural entities that embody the concept of chaos, disorder, and unpredictability within various mythologies, religions, and fictional universes. The interpretation of chaos deities can vary widely, but they often represent forces that disrupt the established order, challenge norms, and promote change through upheaval and transformation.
A dark photon is a hypothetical particle that arises in certain extensions of the Standard Model of particle physics, particularly in theories involving dark matter and hidden sectors. Essentially, a dark photon is a massive vector boson similar to the ordinary photon, but it interacts very weakly with ordinary matter and only couples to the so-called "dark sector" particles. ### Key Features: 1. **Mass**: Unlike the ordinary photon, which is massless, dark photons can have a small mass.
MACS J0416.1-2403 is a galaxy cluster located in the constellation of Centaurus. It is part of the Massive Cluster Survey (MACS), which is a project aimed at identifying and studying massive galaxy clusters at high redshifts. This particular cluster is notable for its significant mass and lensing properties. One of the key features of MACS J0416.
Mirror matter is a hypothetical form of matter that is proposed to exist in a "mirror" version of the ordinary matter we encounter every day. The concept arises from certain theories in particle physics and cosmology, particularly in relation to symmetries in nature. In the context of particle physics, mirror matter would consist of particles that correspond to the known particles but with opposite chirality or "handedness.
Vera Rubin was a renowned American astronomer known for her groundbreaking work in the field of astrophysics, particularly in the study of galaxy rotation curves. Born on July 23, 1928, she made significant contributions to our understanding of dark matter, a form of matter that does not emit light or energy and is not directly observable, yet is believed to make up a substantial portion of the total mass in the universe. Rubin's most notable work involved observing the rotational speeds of galaxies.
The De Sitter universe is a solution to Einstein's field equations of general relativity that describes a particular type of cosmological model. Named after the Dutch mathematician Willem de Sitter, this solution represents a universe that is both homogeneous and isotropic (the same in all directions) but with a positive cosmological constant, which is often associated with a form of dark energy driving an accelerated expansion of the universe.
Photochromism is the phenomenon in which a chemical compound reversibly changes its color when exposed to light, typically ultraviolet (UV) radiation or visible light. This change in color is due to a structural transformation in the molecules of the compound, often involving a shift between two different forms (isomers) that have distinct light-absorbing properties.
Solarization in physics, particularly in the context of optical materials and solar energy, refers to the phenomenon where certain materials change their optical properties when exposed to intense light or radiation over time. This can occur due to various processes, including the formation of color centers or defects in the material's structure that absorb light at specific wavelengths, leading to a change in color or transparency.
"Spectroscopy stubs" are not a widely recognized term in the field of spectroscopy, which is the study of the interaction between matter and electromagnetic radiation. However, it’s possible you are referring to one of the following: 1. **Spectroscopy Sample Stubs**: These are the platforms or holders used to secure samples during spectroscopy experiments. In techniques like infrared (IR) or Raman spectroscopy, samples need to be placed on a stable surface that can withstand analysis conditions without interfering with the spectrum.
The Janzen–Connell hypothesis is an ecological theory that explains the maintenance of biodiversity in tropical forests. Proposed independently by ecologists Dan Janzen and Joseph Connell in the 1970s, the hypothesis suggests that plant species, particularly trees, tend to experience higher mortality rates when they grow close to their own kind due to herbivory, disease, and competition.
Tim Roughgarden is a prominent computer scientist and professor known for his work in algorithm design, game theory, and the intersection of computer science and economics. He has made significant contributions to algorithmic game theory, including concepts related to pricing, network routing, and auction design. Roughgarden has held academic positions at institutions such as Stanford University and Columbia University. He is also recognized for his efforts in educating others about algorithms and game theory through his teaching and writing.
Yuri Ofman is a notable figure in the fields of mathematics, physics, and computer science, particularly known for his work related to the theory of algorithms and computational complexity. However, specific information on his contributions may be limited, given that he is not as widely recognized as some other scientists in these areas.
Brian Goodwin may refer to multiple individuals, but one prominent figure by that name is an American professional baseball outfielder. He was born on September 2, 1990, and has played in Major League Baseball (MLB) for teams such as the Kansas City Royals and the Los Angeles Angels. Known for his athleticism and power potential, Goodwin has had a notable career in the minors and has made contributions to the teams he has played for in the major leagues.
Gerd B. Müller is a prominent German biologist and evolutionary developmental biologist known for his work in the fields of evolutionary biology and the philosophy of biology. He has made significant contributions to understanding the role of developmental processes in evolution, a field often referred to as "evo-devo." Müller's research focuses on how developmental regulations and mechanisms influence evolutionary change and diversification in organisms. Müller has authored various papers and books that explore the intersection of evolutionary theory and developmental biology.
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!
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 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. - 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





