An **Iteratee** is a design pattern used in functional programming and data processing, particularly in the context of handling streams of data. The concept is focused on safely and efficiently processing potentially unbounded or large data sources, such as files, network streams, or other sequences, while avoiding issues like memory overconsumption and resource leaks.
In functional programming, a "map" is a higher-order function that applies a given function to each element of a collection (like a list or an array) and produces a new collection containing the results. The original collection remains unchanged, as map typically adheres to the principles of immutability. ### Key Characteristics of Map: 1. **Higher-Order Function**: Map takes another function as an argument and operates on each element of the collection.
The Cyrus–Beck algorithm is a method used in computer graphics for line clipping against convex polygonal regions. It is particularly effective for clipping lines against convex polygons, such as rectangles or any other simple polygons. The algorithm was introduced by John Cyrus and Barbara Beck in 1979 as an extension of the Liang–Barsky algorithm, which is primarily used for line clipping against axis-aligned rectangles.
A Logic Learning Machine (LLM) is a type of artificial intelligence tool or software designed to analyze data and automatically generate logical rules or models based on that data. These machines utilize logic programming and various algorithms to create interpretable models that can describe relationships and patterns within the data.
Q-learning is a type of model-free reinforcement learning algorithm used in the context of Markov Decision Processes (MDPs). It allows an agent to learn how to optimally make decisions by interacting with an environment to maximize a cumulative reward. Here's a breakdown of the key concepts involved in Q-learning: 1. **Agent and Environment**: In Q-learning, an agent interacts with an environment by performing actions and receiving feedback in the form of rewards.
Rprop, or Resilient Backpropagation, is a variant of the backpropagation algorithm used for training artificial neural networks. It was designed to address some of the issues associated with standard gradient descent methods, particularly the sensitivity to the scale of the parameters and the need for careful tuning of the learning rate. ### Key features of Rprop: 1. **Individual Learning Rates**: Rprop maintains a separate learning rate for each weight in the network.
The Wake-Sleep algorithm is a neural network training technique proposed by Geoffrey Hinton and his colleagues, which is specifically designed for training generative models, particularly in the context of unsupervised learning. The algorithm is particularly useful for training models that consist of multiple layers, such as deep belief networks (DBNs) or other types of hierarchical models. The Wake-Sleep algorithm consists of two main phases: the "wake" phase and the "sleep" phase.
LIRS stands for **Low Inter-reference Recency Set**. It is a caching algorithm designed to efficiently manage the replacement of cache entries in systems where the access patterns of cached items exhibit both locality and temporal consistency. The LIRS algorithm is particularly effective in scenarios where certain items are frequently accessed over others and where it is critical to retain popular items in the cache to maximize hit rates.
SLUB is a memory allocator used in the Linux kernel. It is designed to efficiently manage memory in the kernel space, particularly for allocating and freeing memory for objects and data structures used by the kernel. SLUB stands for "SLAB Allocator with Unordered Lists," and it is one of several memory allocation mechanisms in the Linux kernel, the others being SLAB and SLOB. The SLUB allocator was introduced to improve performance, scalability, and memory usage compared to its predecessors.
Mathematical optimization is a branch of mathematics that deals with finding the best solution (or optimal solution) from a set of possible choices. It involves selecting the best element from a set of available alternatives based on certain criteria defined by a mathematical objective function, subject to constraints. Here are some key components of mathematical optimization: 1. **Objective Function**: This is the function that needs to be maximized or minimized.
Numerical software refers to specialized programs and tools designed to perform numerical computations and analyses. These software packages are commonly used in various fields such as engineering, physics, finance, mathematics, and data science. Numerical software often provides algorithms for solving mathematical problems that cannot be solved analytically or are too complex for symbolic computation. ### Key Features of Numerical Software: 1. **Numerical Algorithms**: Implementations of various algorithms for solving mathematical problems, such as: - Linear algebra (e.g.
Parallel task scheduling refers to the method of organizing and managing multiple tasks or processes to be executed simultaneously on multiple processors or cores in a computing environment. This approach optimizes the use of computational resources and can significantly reduce the total execution time of a set of tasks compared to traditional sequential execution. Key concepts related to parallel task scheduling include: 1. **Task Decomposition**: Breaking a larger problem into smaller sub-tasks that can be solved independently and concurrently.
Stigmatism, often misspelled as "stigmatism," refers to a visual defect known as astigmatism. Astigmatism is a common refractive error caused by an irregular shape of the cornea or lens in the eye. Instead of having a perfectly rounded shape, the cornea or lens may be shaped more like a football or an egg, which results in light rays being focused at multiple points, rather than converging at a single point on the retina.
The Great White Spot is a massive storm system located in the atmosphere of Saturn. It is one of the largest and most prominent storms in the solar system and is characterized by its high-speed winds and white appearance, which is a result of the ammonia clouds in its upper atmosphere. The storm can grow to be about the size of Earth and can persist for several months or even years.
The Boundary Particle Method (BPM) is a numerical simulation technique used for solving boundary value problems in various fields of engineering and applied sciences, particularly in fluid dynamics, solid mechanics, and heat transfer. It combines elements of boundary integral methods and particle methods, leveraging the advantages of both approaches. ### Key Concepts of the Boundary Particle Method: 1. **Boundary Integral Equation**: BPM typically starts from boundary integral equations, which are derived from the governing differential equations.
The Closest Point Method (CPM) is a numerical technique primarily used for solving partial differential equations (PDEs) and in various applications such as fluid dynamics, heat transfer, and other physical phenomena. The method is particularly useful for problems involving complex geometries. ### Key Features of the Closest Point Method: 1. **Level Set Representation**: The CPM often employs a level set method to represent the geometry of the problem.
De Boor's algorithm is a computational method used for evaluating B-spline curves and surfaces efficiently. It was developed by Carl de Boor in 1972 and is a generalization of the more specific Cox-de Boor algorithm for evaluating B-splines. B-splines are a family of piecewise-defined polynomials that are used extensively in computer graphics, computer-aided design (CAD), and numerical analysis.
Gal’s accurate tables refer to a set of mathematical tables created by the Danish astronomer and mathematician, Niels Bohr Gal, in the early 20th century. These tables are specifically designed for accurate calculations in celestial mechanics, such as determining the positions of celestial objects or calculating the orbits of planets and moons.
Gradient Discretisation Method (GDM) is a numerical method used in the context of solving partial differential equations (PDEs), particularly those arising in fluid dynamics and other fields of continuum mechanics. The GDM is designed to achieve a balance between accuracy and computational efficiency, especially when dealing with the advection-dominated problems that are common in these fields.
The Iterative Rational Krylov Algorithm (IRKA) is a numerical method used primarily for model order reduction of linear dynamical systems. It is particularly useful in control theory and numerical linear algebra for reducing the complexity of systems while preserving their essential dynamical properties. Here's a brief overview of the concepts and methodology involved in IRKA: ### Background 1. **Model Order Reduction (MOR)**: In many applications, high-dimensional systems (e.g.
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





