Rendezvous hashing, also known as highest random weight (HRW) hashing, is a technique used in distributed systems for load balancing and resource allocation. The primary goal of Rendezvous hashing is to efficiently distribute keys (or objects) across a set of nodes (or servers) while minimizing the need to redistribute keys when there are changes in the system, such as adding or removing nodes.
Reservoir sampling is a family of randomized algorithms used to sample a fixed number of elements from a population of unknown size. It's particularly useful when the total number of items is large or potentially infinite, and it allows you to select a representative sample without needing to know the size of the entire dataset. ### Key Characteristics of Reservoir Sampling: 1. **Stream Processing**: It allows for sampling elements from a stream of data where the total number of elements is not known in advance.
Run-time algorithm specialization refers to the process of optimizing algorithms based on specific properties or inputs known at run-time, rather than at compile-time. This approach allows the system to tailor its behavior dynamically based on the characteristics of the data being processed, leading to improved performance and efficiency.
The Sardinas–Patterson algorithm is a procedure used in computer science and mathematics for determining the solvability of a word problem in free groups and, more generally, in certain algebraic structures. Specifically, it's a method that helps decide whether a given set of equations over free groups has a solution in that group. ### Overview The algorithm works by analyzing a set of words (or strings) representing elements of a free group.
Schottky group by Wikipedia Bot 0
A Schottky group is a specific type of group of isometries of hyperbolic space, particularly in the context of hyperbolic geometry. More formally, it can be defined as a free group of isometries of hyperbolic space, which acts on the hyperbolic plane or hyperbolic 3-space.
A super-recursive algorithm is a concept that extends beyond classical recursive algorithms, which are typically defined as algorithms that call themselves to solve a problem. The distinction of super-recursive algorithms lies in their ability to perform computations in ways that are not limited to the traditional recursive framework.
Tarjan's algorithm is a graph theory algorithm used to find strongly connected components (SCCs) in a directed graph. A strongly connected component of a directed graph is a maximal subgraph where every vertex is reachable from every other vertex in that subgraph. The algorithm was developed by Robert Tarjan and operates in linear time, which is O(V + E), where V is the number of vertices and E is the number of edges in the graph.
Subgroup by Wikipedia Bot 0
A subgroup is a subset of a group that itself forms a group under the same operation as the original group. In mathematical group theory, a group is defined as a set equipped with a binary operation that satisfies four properties: closure, associativity, the existence of an identity element, and the existence of inverses.
Latin alphabet by Ciro Santilli 37 Updated +Created
The Algorithm Auction is a concept in the field of algorithmic trading and financial markets, though specific references could vary based on context. Generally, this could refer to auctions or bidding processes where algorithms are used to determine prices, match buyers and sellers, or facilitate transactions in a financial marketplace. In more specialized contexts, The Algorithm Auction might refer to: 1. **Auction Mechanisms**: Platforms where algorithms can bid on assets, shares, or other financial instruments in real-time.
"The Master Algorithm" is a term popularized by Pedro Domingos in his 2015 book titled *The Master Algorithm: How the Quest for the Ultimate Learning Machine Will Remake Our World*. In the book, Domingos describes the pursuit of a universal learning algorithm that can learn from data and improve itself over time, effectively mastering a wide range of tasks without needing to be specifically programmed for each one.
Symmetric set by Wikipedia Bot 0
In mathematics and set theory, a symmetric set is often defined in the context of a set of elements where certain symmetrical properties are present. 1. **General Symmetry**: A set \( S \) could be considered symmetric if for every element \( a \) in \( S \), there exists a corresponding element that reflects a specific symmetry property. This could be under operations such as reflection across a line, rotation in a plane, or an inversion in some metric space.
Time Warp Edit Distance (TWED) is a metric used to measure the similarity between two time series. It is particularly useful in scenarios where time series data may be misaligned in time, allowing for the evaluation of sequences that may have temporal distortions or varying speeds.
Virtually by Wikipedia Bot 0
"Virtually" can refer to a few different concepts depending on the context: 1. **Adverbial Meaning**: In general usage, "virtually" means "almost" or "nearly," suggesting that something is true in effect but not in an absolute sense. For example, if someone says "I virtually finished the project," it implies that they are very close to finishing, but not quite there yet.
Atmospheric Pressure Photoionization (APPI) is an ionization technique commonly used in mass spectrometry. It is particularly useful for the analysis of a wide range of compounds, including those that are non-polar or semi-polar, which often do not ionize well using traditional techniques like electrospray ionization (ESI) or matrix-assisted laser desorption/ionization (MALDI).
Tomasulo's algorithm is a hardware-based algorithm designed to dynamically schedule instructions in a CPU to optimize the use of execution units and improve performance, particularly in pipelined architectures. Developed by Robert Tomasulo in the 1960s for the IBM 360/91, the algorithm helps to overcome issues like instruction latency and hazards by allowing out-of-order execution of instructions while maintaining data dependencies.
Whitehead problem by Wikipedia Bot 0
The Whitehead problem is a classic question in the field of algebraic topology, specifically in the area of group theory relating to homotopy theory. Formulated by the mathematician J.H.C. Whitehead in the 1940s, the problem asks whether a certain type of homomorphism between two groups can be lifted to a homotopy equivalence.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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