The Cube Root Law, often referred to in the context of acoustics and other fields, states that the intensity of sound (or another phenomenon) emanating from a point source is inversely proportional to the cube of the distance from the source.
Wavelet packet decomposition is a technique used in signal processing and data analysis that extends the principles of traditional wavelet decomposition. Here’s a breakdown of the concept: ### Basics of Wavelet Decomposition 1. **Wavelets**: A wavelet is a mathematical function that can be used to represent signals at different scales or resolutions. Unlike traditional Fourier transform methods, wavelets can localize signals both in time (or space) and frequency.
Curiosity is a fundamental human drive characterized by a desire to learn, explore, and understand new things. It motivates individuals to seek out new experiences, ask questions, and pursue knowledge. Curiosity can manifest in numerous forms, including intellectual curiosity, which drives people to explore academic subjects, and personal curiosity, which promotes exploration of one's surroundings, relationships, and experiences. In psychology, curiosity is often viewed as an essential component of cognition and learning.
Cyclone Kyarr was a powerful tropical cyclone that formed in the Arabian Sea during late October 2019. It was one of the most intense storms in that region for several years. Kyarr rapidly intensified into a very severe cyclonic storm, reaching its peak strength with sustained winds of approximately 140 mph (220 km/h) and a minimum central pressure of about 950 hPa.
"Dali's Mustache" is a reference to the iconic mustache of the surrealist artist Salvador Dalí. Known for his eccentric personality and distinctive style, Dalí's mustache became almost as famous as his artwork. It is often characterized by its elaborate, twisted points and was part of his theatrical persona.
The Darwin–Fowler method is a statistical approach used primarily in the analysis of time-to-event data, particularly in the context of survival analysis. It is named after the British mathematicians Charles Darwin and William Fowler. This method is particularly influential in the field of biostatistics and epidemiology, where researchers often need to understand the time until certain events occur, such as death, disease progression, or failure of an experiment.
David Bernard is a meteorologist known for his work as a broadcast meteorologist in the United States. He has been involved in weather reporting and forecasting, primarily in the southeastern region. Bernard is recognized for his expertise in meteorology, particularly in relation to tropical weather systems and hurricanes, given the prominence of such events in that area. He has worked for various television stations and has been involved in community outreach and education related to weather safety and preparedness.
David Chilton Phillips is an American biophysicist best known for his work in the field of cryobiology, which studies the effects of low temperatures on living organisms. He has contributed significantly to understanding how cells respond to freezing and thawing, which has implications for areas such as organ preservation, fertility treatments, and food preservation.
Decolonization of knowledge refers to the process of critically examining, challenging, and transforming the dominant frameworks and narratives that shape knowledge production, dissemination, and intellectual discourse, particularly those rooted in colonial histories and power dynamics. It seeks to address and redress the imbalances and biases in knowledge systems that have often marginalized or erased Indigenous, local, and non-Western perspectives.
The deferred-acceptance auction is a mechanism used in markets where participants submit bids for items, and the allocation of items to bidders is determined based on those bids. This approach is often used to achieve an efficient allocation of resources and can be designed to ensure specific fairness or efficiency criteria are met. ### Key Features of Deferred-Acceptance Auctions: 1. **Bidding Process**: Participants submit bids for one or more items in a round-based system.
Queries per second (QPS) is a metric used to measure the number of queries a system can handle or process in one second. It is commonly used in various computing and database contexts to assess the performance and scalability of a system, such as: - **Databases:** In the context of a database, QPS refers to the number of read or write operations (queries) that the database can efficiently process each second.
A racemic mixture is a type of mixture that contains equal amounts of two enantiomers, which are molecules that are mirror images of each other but cannot be superimposed. Enantiomers have the same chemical formula and, in many cases, the same physical properties, but they can exhibit different biological activities. Since racemic mixtures contain both enantiomers in equal proportions, their optical activity is canceled out—the mixture does not rotate plane-polarized light.
Discrete symmetry refers to a type of symmetry that involves distinct, separate transformations rather than continuous transformations. In physics and other scientific disciplines, symmetry is often related to invariance under specific transformations, and discrete symmetry encompasses situations where certain operations map a system onto itself in a non-continuous way. There are several types of discrete symmetries, including: 1. **Parity (P)**: This is the symmetry of spatial inversion, where the coordinates of a system are inverted (e.g.
In syntax, dislocation refers to a construction where a constituent, such as a noun phrase or a clause, is moved away from its canonical position in a sentence, often to the periphery, while still maintaining a clear link to the rest of the sentence. Dislocation is commonly used to highlight, emphasize, or provide additional information about the dislocated element.
Order summability is a concept in the field of summability theory, which deals with the summation of sequences and series, particularly when the usual methods fail to produce a finite limit. It is a generalization of the notion of convergence for series and sequences. In essence, a sequence is said to be **order summable** if it can be summed in a particular way that accounts for the arrangement of its terms, often by weighting or structuring them.
A dogcart is a type of lightweight vehicle or cart that is specifically designed to be pulled by dogs, typically one or more. This mode of transportation was historically used for purposes such as carrying goods or passengers, particularly in rural areas. The design of a dogcart generally includes a platform or a simple cart structure with wheels, which is hitched to the dog or dogs.
The Erdős–Turán inequality is a result in combinatorial number theory that deals with the distribution of sums in sequences of integers.
An ergodic process is a type of stochastic (random) process in which the long-term average of a function of the process can be approximated by the average over time for a single realization of the process. In simpler terms, ergodicity implies that time averages and ensemble averages are equivalent. ### Key Characteristics of Ergodic Processes: 1. **Time Average vs. Ensemble Average**: - **Time Average**: Calculated from a single sample path of the process over time.
Eric Allender is a prominent computer scientist known for his work in the field of theoretical computer science. He is particularly noted for his research in computational complexity theory, particularly on topics such as the complexity classes within the context of Boolean circuits, algorithms, and the relationships between different complexity classes. Allender has contributed to understanding the power and limitations of various computational models, including the analysis of problems that can be solved efficiently versus those that are believed to be intractable.
The Zimm–Bragg model is a statistical mechanical model used to describe the conformational behavior of polymer chains, particularly in the context of helix-coil transitions. It provides a framework for understanding how polypeptides can exist in different structural forms—typically as alpha-helices or random coils—under varying conditions, such as temperature and solvent environment. Developed by William H. Zimm and David R.
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





