A Nearly Kähler manifold is a specific type of almost Kähler manifold, which is a manifold equipped with a Riemannian metric and a compatible almost complex structure. More formally, if \( M \) is a manifold, it is said to be nearly Kähler if it possesses the following structures: 1. **Riemannian Metric**: A Riemannian metric \( g \) on \( M \), which provides a way to measure distances and angles.
"Polar action" typically refers to actions or activities that are directly related to the polar regions of the Earth, including the Arctic and Antarctic. This can encompass a range of topics, including climate change and its impact on polar ecosystems, scientific research conducted in these regions, conservation efforts, and issues related to indigenous communities living in polar areas.
The Rizza manifold is a specific example of a 5-dimensional smooth manifold that is characterized by having a nontrivial topology and a certain geometric structure. It was introduced by the mathematician Emil Rizza in a paper exploring exotic differentiable structures. One key feature of the Rizza manifold is that it is a counterexample in the study of differentiable manifolds, particularly in the context of 5-manifolds and their properties related to smooth structures.
Diffraction in time typically refers to the phenomenon where waves spread out and bend around obstacles or through openings, but instead of focusing on spatial dimensions, it considers how these waves behave over time.
"Discoveries" by János Kelemen is likely a reference to a work by the Hungarian author, though specific details about a publication by this name are not widely recognized in mainstream literature as of my last update in October 2023. János Kelemen may have contributed to various fields, including science or literature, but without additional context, it's challenging to pinpoint a specific work titled "Discoveries.
Schaefer–Bergmann diffraction refers to a specific phenomenon related to the diffraction of light or waves when they encounter a periodic structure. This term is often associated with studies in the field of optics or materials science, particularly in the context of understanding how waves interact with different types of materials or surface structures. In general, diffraction occurs when waves, such as light, encounter an obstacle or a slit that is comparable in size to their wavelength.
Märklin Digital refers to the digital control system developed by Märklin, a well-known German manufacturer of model trains and accessories. This system enables model train enthusiasts to control their trains and layouts with more flexibility and precision compared to traditional analog systems.
Bandlimiting refers to the process of restricting the range of frequencies that a signal or a system can process or transmit. This concept is important in various fields, such as signal processing, telecommunications, and audio engineering. ### Key Points About Bandlimiting: 1. **Frequency Domain Limitation**: Bandlimiting inherently involves defining a maximum frequency (often called the cutoff frequency) beyond which signals are either attenuated or removed.
The Goertzel algorithm is an efficient digital signal processing algorithm used to detect the presence of specific frequencies within a signal. It is particularly useful when analyzing signals in applications like tone detection, DTMF (Dual-Tone Multi-Frequency) decoding, and other frequency-domain processes where only a few specific frequencies are of interest, rather than performing a full Fourier transform.
Instantaneous phase and instantaneous frequency are concepts primarily used in the analysis of signals, particularly in the context of time-varying signals in fields like signal processing, communications, and wave analysis. ### Instantaneous Phase - **Definition**: The instantaneous phase of a signal refers to the phase of the signal at any given point in time. It can be derived from the complex representation of a signal, typically expressed in terms of sine or cosine functions.
The Whittaker–Shannon interpolation formula, also known simply as the Shannon interpolation formula, is a mathematical formula used for reconstructing a continuous signal from its discrete samples. It is a fundamental result in signal processing and relates to the reconstruction of signals from its sampled data, especially within the context of the Nyquist-Shannon sampling theorem.
Former electronic trading platforms refer to trading systems and software that have been used to facilitate the buying and selling of financial assets like stocks, bonds, commodities, and derivatives but may no longer be in operation or have been replaced by newer technologies. These platforms enabled traders to execute trades electronically through the internet rather than through traditional methods, such as phone calls or in-person transactions.
Johann Gottfried Galle (1812–1910) was a German astronomer best known for his role in the discovery of the planet Neptune. In 1846, he was the first to observe Neptune based on predictions made by mathematicians Urbain Le Verrier and John Couch Adams, who had calculated the planet's position based on irregularities in the orbit of Uranus. Galle's observational work at the Berlin Observatory confirmed the existence of Neptune, marking a significant milestone in astronomy.
WordStar is a word processing software that was widely popular in the 1980s and early 1990s, particularly known for its use on DOS (Disk Operating System) computers. Developed by MicroPro International, WordStar was one of the first word processors to gain widespread acceptance in the personal computing market. It featured a variety of functions that allowed users to create, edit, and format text documents.
"Discoveries" by Anthony J. Cecce is a work that explores themes of personal growth, self-discovery, and the journey of understanding oneself and the world around us. While specific details about the book's plot or content might not be widely known, it typically focuses on the insights and revelations that can emerge from life experiences.
"Discoveries" is a work by Claes-Ingvar Lagerkvist, a Swedish author known for exploring themes related to science, philosophy, and the human experience. While I may not have specific details about "Discoveries," it generally aligns with Lagerkvist's interests in how scientific advancements intersect with human understanding and existential reflections.
"Discoveries" is a book by David J. Asher that explores the concept of discovery in various forms, particularly in the context of personal growth, scientific inquiry, and creativity. Asher delves into how discoveries can reshape our understanding of the world and ourselves, offering insights and reflections based on his experiences and research. The book may include anecdotes, philosophical musings, and practical advice for fostering a mindset conducive to discovering new ideas and perspectives.
"Discoveries" by Edgar Rangel Netto is a work that focuses on exploring various themes related to human experience, science, and perhaps philosophical reflections. However, there may not be extensive information available on this particular work, depending on the context in which it is discussed, such as its genre or publication details.
"Discoveries" by Mario Jurić is a book that focuses on scientific advancements and astronomical discoveries, emphasizing the human curiosity about the universe and our place within it. The author explores various topics related to astronomy and science, providing insights into both historical and contemporary discoveries.
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 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