Square packing refers to the arrangement of objects, particularly in a two-dimensional space, where the items are packed into squares or rectangular grids in a way that optimizes space usage. This concept is commonly applied in various fields, including: 1. **Logistics and Shipping**: In warehousing and transportation, square packing involves organizing packages or pallets in a grid layout to maximize storage efficiency and minimize wasted space.
The Wirtinger sextic refers to a particular type of polynomial that arises in the context of algebraic geometry and is related to the study of algebraic curves. Specifically, the term "Wirtinger sextic" often refers to a degree-six (or sextic) polynomial associated with the geometric properties of certain curves, particularly in relation to their moduli.
Kenneth Steiglitz is an American computer scientist known for his contributions to fields such as computer science, engineering, and applied mathematics. He has made notable advancements in the areas of computer algorithm design, optimization, and the mathematical foundations of computing. Steiglitz is also recognized for his work in control theory and for authoring textbooks that are widely used in education. One of his well-known contributions is the book “A Mathematical Approach to Control Theory.
A kimchi refrigerator is a specialized appliance designed specifically for the storage of kimchi, a traditional Korean fermented vegetable dish. These refrigerators maintain optimal temperature and humidity levels tailored to the fermentation process and preservation of kimchi, ensuring that it remains fresh and flavorful for longer periods. Key features of a kimchi refrigerator often include: 1. **Temperature Control**: Kimchi refrigerators typically offer adjustable temperature settings, allowing users to select the ideal conditions for different stages of fermentation.
The Knight's Tour is a classic problem in chess and combinatorial mathematics that involves moving a knight piece around a chessboard. The goal of the Knight's Tour is to move the knight to every square on the board exactly once. A knight moves in an L-shape: two squares in one direction and then one square perpendicular, or one square in one direction and then two squares perpendicular. This unique movement gives the knight its characteristic capabilities.
Optical lift is a term that can refer to different concepts depending on the context, but it is primarily associated with the field of optics and photonics, particularly in relation to phenomena involving light and electromagnetic waves. 1. **Optical Tweezers**: In the context of optical manipulation, "optical lift" might refer to the lifting or manipulation of microscopic particles, cells, or biological samples using focused laser beams.
Hypothetical particles are theoretical entities in particle physics that have not yet been observed or detected but are predicted to exist based on various theoretical frameworks, models, or extensions of the Standard Model of particle physics. These particles often arise in attempts to explain phenomena that cannot be adequately accounted for by current understanding, such as dark matter, gravitational waves, or certain fundamental interactions.
Ineke De Moortel is an astrophysicist known for her work in the field of solar physics and space science. She has contributed significantly to the understanding of solar phenomena, including the structure and dynamics of the solar atmosphere, particularly in relation to solar flares and coronal mass ejections. De Moortel is also involved in educational outreach and has published numerous research papers on her findings.
The Hausdorff dimension is a concept in fractal geometry that provides a measure of the "size" of a fractal in a way that extends the traditional notion of dimension. Fractals often exhibit non-integer dimensions, which characterizes their complex structure. Here's a list of some well-known fractals and their associated Hausdorff dimensions: 1. **Point**: - Hausdorff Dimension: 0 2.
A Longitudinal Redundancy Check (LRC) is a type of error detection method used in digital communication and data storage to ensure the integrity of transmitted or stored data. It is particularly useful for detecting errors that may occur during data transmission over a noisy communication channel or during storage. The LRC works by calculating a checksum for each row of data, which is then combined to create a single redundancy byte that represents the overall data.
Random priority item allocation is a method used to distribute items or resources among individuals or groups based on randomly assigned priorities. The approach is often used in scenarios where fairness is desired, and it seeks to mitigate biases or inequalities that might arise from other allocation methods. Here are some key points about this concept: 1. **Randomization**: In this method, individuals are assigned a random priority or a rank, which determines the order in which they can select or receive items.
As of my last knowledge update in October 2021, "Rental Harmony" isn't a widely recognized term or concept in the public domain, but it could potentially refer to a variety of ideas related to rental properties or systems that promote balance and ease in rental agreements. If "Rental Harmony" has emerged as a specific concept, service, or platform since then, it would be advisable to check the latest online resources, news, or specific websites that might have detailed information on that term.
Prim's algorithm is a greedy algorithm used to find the Minimum Spanning Tree (MST) of a weighted, undirected graph. A Minimum Spanning Tree is a subset of edges that connects all vertices in the graph without any cycles and with the minimum possible total edge weight. ### How Prim's Algorithm Works: 1. **Initialization**: Start with an arbitrary vertex and mark it as part of the MST.
The "double bond rule" typically refers to a guideline in organic chemistry concerning the formation of covalent bonds, particularly in relation to how carbon and other elements can form multiple bonds between atoms. Here are the key features of the double bond rule: 1. **Definition of Double Bonds**: A double bond occurs when two pairs of electrons are shared between two atoms. This is often represented in chemical structures as two lines connecting the bonded atoms (e.g.
A Hecke character (or Hecke character of the second kind) is a particular type of character associated with algebraic number fields and arithmetic functions. More specifically, these characters arise in the study of modular forms and algebraic K-theory.
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.
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.

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!
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