Automatic label placement refers to a set of techniques and algorithms used in graphical design and data visualization to automatically position labels (such as text, icons, or annotations) in a way that maximizes readability and minimizes overlap, clutter, or occlusion. This is particularly important in visual representations such as maps, charts, and diagrams, where clear labeling is necessary for effective communication of information.
The Bin Covering Problem is a combinatorial optimization problem that can be viewed as a variant of the well-known bin packing problem. In this problem, the objective is to find a minimum number of bins (or containers) needed to cover a specific set of items (or elements) while adhering to certain constraints related to how these items can be grouped together. ### Problem Definition: 1. **Items**: You have a set of items, each with a certain size or weight.
William Thurston was an influential American mathematician, renowned for his work in topology, particularly in the field of three-dimensional manifolds. Born on October 30, 1946, and passing away on August 21, 2022, he made significant contributions to the understanding of the structure of 3-manifolds through his groundbreaking ideas and theories.
Shahram Amiri was an Iranian nuclear scientist who became widely known after he defected to the United States in 2009. He was involved in Iran's nuclear program and had access to sensitive information regarding Iran's nuclear activities. Amiri's defection received significant attention, as it was part of broader concerns over Iran's nuclear ambitions. Amiri later returned to Iran in 2010 under controversial circumstances.
William W. Simmons is a physicist known for his contributions to the field of physics, particularly in areas related to materials science, condensed matter physics, and possibly other domains depending on specific research interests. While his name may not be as widely recognized as some other physicists, individuals in academia often make significant contributions through research, publications, and teaching that advance understanding in their respective fields.
Wolfgang Koch is a computer scientist known for his contributions to the fields of computer science and engineering, particularly in areas such as algorithms, computational geometry, and computer graphics. While there may be several individuals with that name, one notable Wolfgang Koch has made significant contributions in the realm of visual computing and optimization.
Wolfram Mathematica is a computational software system developed by Wolfram Research. It is widely used for symbolic computation, numerical calculation, data visualization, and programming. Mathematica provides a versatile environment for various scientific, engineering, mathematical, and educational applications. Key features of Wolfram Mathematica include: 1. **Symbolic Computation**: Mathematica can manipulate mathematical expressions in symbolic form, allowing for algebraic simplifications, differentiation, integration, and solving equations.
Word-sense disambiguation (WSD) is a natural language processing (NLP) task that aims to determine which meaning of a word is used in a given context. Many words in the English language (and other languages) have multiple meanings, known as "senses." For instance, the word "bank" can refer to a financial institution or the side of a river, among other meanings.
A working hypothesis is a preliminary assumption or educated guess that serves as a starting point for further investigation or research. It is not a definitive conclusion but rather a proposed explanation that researchers use to guide their study and experiments. Working hypotheses can be adjusted or refined as new data is gathered and as understanding of the topic deepens. In scientific research, a working hypothesis might lead to the formulation of testable predictions and experiments to validate or refute it.
The MCS (Minimum Cut Set) algorithm is specifically related to the field of reliability analysis and fault tree analysis in engineering and computer science. It is used to identify and analyze the minimum cut sets of a system, which are the smallest combinations of component failures that can cause the system to fail. Here's a brief overview of its purpose and functionalities: ### Purpose 1. **Reliability Assessment**: It helps in determining how reliable a system is and identifying potential weak points that could lead to failure.
Elsagate is a term that refers to a controversy surrounding children's content on platforms like YouTube. It originated in the mid-2010s and primarily involved videos that exploited popular children's characters, particularly Elsa from Disney's "Frozen," along with others from various franchises. These videos often featured inappropriate themes, violence, or adult content disguised as child-friendly content.
Security testing is a type of software testing that aims to identify vulnerabilities, threats, and risks in a software application or system. Its primary goal is to ensure that the software operates securely and that sensitive data remains protected from unauthorized access, breaches, and other security threats. Security testing helps in determining if the application's security measures are sufficient and effective in defending against potential attacks.
Security vulnerability databases are repositories that catalog known vulnerabilities in software applications, operating systems, and hardware systems. These databases serve as a centralized source of information for security professionals, researchers, and organizations to identify, track, and remediate vulnerabilities. Here are some key aspects of security vulnerability databases: 1. **Information Repository**: They provide detailed information about various security vulnerabilities, including descriptions, affected software versions, the nature of the vulnerability (e.g.
Seewarte Seamounts refers to a group of underwater mountains, or seamounts, located in the Atlantic Ocean, specifically within a region of the Mid-Atlantic Ridge. Seamounts are typically formed through volcanic activity and can create unique ecosystems due to their elevation from the sea floor. These underwater features can serve as hotspots for marine biodiversity, attracting various forms of marine life, including fish and other organisms that thrive in such habitats.
Fractional programming is a type of mathematical optimization that involves optimizing a fractional objective function, where the objective function is defined as the ratio of two functions. Typically, these functions are continuous and may be either linear or nonlinear.
The Bregman method, often referred to in the context of Bregman iteration or Bregman divergence, is a mathematical framework used primarily in optimization, signal processing, and machine learning. It is named after Lev M. Bregman, who introduced the concept of Bregman divergence in the 1960s.
Dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems in a recursive manner. It is particularly useful for optimization problems where the solution can be constructed from solutions to smaller instances of the same problem. The key idea behind dynamic programming is to store the results of subproblems to avoid redundant computations, a technique known as "memoization.
An exact algorithm is a type of algorithm used in optimization and computational problems that guarantees finding the optimal solution to a problem. Unlike approximation algorithms, which provide good enough solutions within a certain margin of error, exact algorithms ensure that the solution found is the best possible. Exact algorithms can be applied to various types of problems, such as: 1. **Combinatorial Optimization**: These problems involve finding the best solution from a finite set of solutions (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 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