Segner wheel by Wikipedia Bot 0
The Segner wheel, also known as the Segner wheel or water wheel, is a type of hydraulic machine invented by the German engineer Jacob Segner in the 18th century. It is primarily a water-driven turbine, designed to convert the kinetic energy of flowing water into mechanical energy. The Segner wheel consists of a horizontal wheel with a series of curved blades or cups attached to its circumference. Water flows over these blades, causing the wheel to rotate.
Segundo Romance by Wikipedia Bot 0
"Segundo Romance" is a famous song by the renowned Argentinian tango composer and singer, Facundo Cabral. Released in 1974, it's known for its poetic lyrics and emotive melodies typical of tango music. The song is a follow-up to Cabral's earlier work, serving as a reflection on love, loss, and the complexities of relationships.
The Chambolle-Pock algorithm is a powerful method for solving optimization problems that involve a combination of convex functions and Bregman distances. It is particularly useful for problems that can be framed as finding a minimizer of a convex function subject to certain constraints.
Column generation by Wikipedia Bot 0
Column Generation is an optimization technique used primarily in solving large-scale linear programming (LP) and integer programming problems. It is especially useful for problems with a large number of variables, where explicitly representing all variables is computationally infeasible.
The Cross-Entropy (CE) method is a statistical technique used for optimization and solving rare-event problems. It is based on the concept of minimizing the difference (or cross-entropy) between two probability distributions: the distribution under which the rare event occurs and the distribution that we sample from in an attempt to generate that event.
Destination dispatch is an advanced elevator control system designed to improve the efficiency and speed of vertical transportation in buildings, particularly in high-rise structures. Unlike traditional elevator control systems that manage cars based on call buttons for up or down, destination dispatch systems take a more integrated approach to optimize elevator trips. ### How It Works 1. **User Input**: When a passenger enters the lobby or any other call area, they enter their desired floor on a touchscreen or similar interface.
The Frank-Wolfe algorithm, also known as the conditional gradient method, is an iterative optimization algorithm used for solving constrained convex optimization problems. It is particularly useful when the feasible region is defined by convex constraints, such as a convex polytope or when the constraints define a non-Euclidean space. ### Key Features: 1. **Convex Problem:** The Frank-Wolfe algorithm is designed for convex optimization problems where the objective function is convex, and the feasible set is a convex set.
Generalized Iterative Scaling (GIS) is an algorithm used primarily in the context of statistical modeling and machine learning, particularly for optimizing the weights of a probabilistic model that adheres to a specified distribution. It is particularly useful for tasks involving maximum likelihood estimation (MLE) in exponential family distributions, which are common in various applications like natural language processing and classification tasks.
The Great Deluge algorithm is a metaheuristic optimization technique inspired by the concept of a flood or deluge used to manage and explore search spaces. It is particularly useful for solving combinatorial optimization problems, where the goal is to find the best solution from a finite set of possible solutions. ### Key Concepts: 1. **Search Space**: The algorithm navigates through a potential solution space, similar to how water would rise and cover terrain, altering the landscape of possible solutions.
A Guillotine partition refers to a method of dividing a geometric space, commonly used in computational geometry, optimization, and various applications such as packing problems and resource allocation. The term is often associated with the partitioning of a rectangular area into smaller rectangles using a series of straight cuts, resembling the action of a guillotine. In a Guillotine partition, the cuts are made either vertically or horizontally, and each cut subdivides the current region into two smaller rectangles.
Negamax by Wikipedia Bot 0
Negamax is a simplified version of the minimax algorithm, used in two-player zero-sum games such as chess, checkers, and tic-tac-toe. It is a decision-making algorithm that enables players to choose the optimal move by minimizing their opponent's maximum possible score while maximizing their own score. The core idea behind Negamax is based on the principle that if one player's gain is the other player's loss, the two can be treated symmetrically.
Lexicographic max-min optimization is a method used in multi-objective optimization problems where multiple criteria are involved. The approach prioritizes the objectives in a lexicographic order, meaning that the most important objective is optimized first. If there are multiple solutions for the first objective, the second most important objective is then optimized among those solutions, and this process continues down the list of objectives.

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