The Udwadia–Kalaba formulation is a mathematical framework used in the field of mechanics, particularly in the study of constrained motion. It was developed by a pair of researchers, Satya P. Udwadia and D. D. Kalaba, in the late 20th century. This formulation provides a powerful and systematic approach for analyzing the dynamics of mechanical systems with constraints, which can be holonomic or non-holonomic.
Bacterial growth refers to the increase in the number of bacteria in a population over time. This process involves several key aspects, which can be described in the context of microbial biology: 1. **Binary Fission**: Bacteria primarily reproduce through a process called binary fission, where a single bacterial cell divides into two identical daughter cells. This process involves the replication of the bacterial DNA and the subsequent division of the cell's cytoplasm.
An auscultatory gap is a phenomenon observed during the measurement of blood pressure. It refers to a temporary disappearance of Korotkoff sounds between systolic and diastolic pressures when using a sphygmomanometer (blood pressure cuff) and a stethoscope.
Continuous noninvasive arterial pressure (CNAP) is a technique used to continuously monitor a patient's blood pressure without the need for invasive procedures, such as arterial catheterization. This technology typically employs advanced algorithms and devices that use oscillometric measurement methods or photoplethysmography to provide real-time blood pressure readings.
Color constancy is a feature of the visual system that ensures the perceived color of an object remains relatively constant under varying lighting conditions. This means that even if the illumination changes (due to different light sources or times of day), the color of the object appears to the observer as the same. The brain processes the colors we see by taking into account the color of the light illuminating the objects, allowing us to perceive the colors of those objects more consistently.
The history of continuous noninvasive arterial pressure measurement is marked by significant advancements in technology and methodology, aimed at improving the accuracy and reliability of blood pressure monitoring without the need for invasive procedures. Here is an overview of its development: ### Early Concepts 1.
The Median Lethal Dose, commonly abbreviated as LD50, is a standard measure used in toxicology to quantify the toxicity of a substance. Specifically, it represents the dose of a substance that is expected to cause death in 50% of a defined animal population after a specified period of exposure. The LD50 is typically expressed in terms of mass of the substance per body mass of the test subjects (e.g.
"Virtual babies" typically refer to digital simulations or applications that allow users to care for and interact with a virtual infant or child. These can come in various forms, including: 1. **Mobile Apps**: There are many apps available for smartphones and tablets that simulate the experience of raising a baby. Users manage tasks such as feeding, diaper changing, and soothing the baby, often with the aim of teaching responsibility or offering a fun interactive experience.
Mathematical optimization in business refers to the use of mathematical methods and techniques to find the best possible solution or outcome for a given problem, subject to certain constraints. It involves formulating problems in a way that allows for the application of mathematical models to identify optimal solutions that can improve business performance. Here are some key aspects of mathematical optimization in business: 1. **Objective Function**: This is the function that needs to be maximized or minimized.
"Asiatic style" is a term that can refer to various forms of art, architecture, fashion, or cultural expression that originate from or are influenced by Asian cultures.
The EURO Journal on Transportation and Logistics is an academic journal that focuses on research related to various aspects of transportation and logistics. It is part of the EURO (the Association of European Operational Research Societies) series of journals, which are aimed at disseminating high-quality research in operational research and related fields. The journal publishes original research articles, case studies, and review papers that contribute to the theoretical and practical understanding of transportation systems, logistics management, supply chain issues, and related areas.
SEMAT stands for Software Engineering Method and Theory. It is an initiative aimed at improving the software engineering discipline by establishing a solid foundation grounded in theory and universal principles. The SEMAT initiative focuses on creating a common language and framework for software engineering practices, allowing teams and organizations to better understand and communicate about their processes, techniques, and practices.
Synthetic Mycoides refers to a synthetic version of the bacterium Mycoplasma mycoides, which is a species of bacteria that belongs to the Mycoplasma genus. Mycoplasmas are unique in that they are among the smallest known cellular organisms and lack a cell wall, which makes them resistant to many common antibiotics.
Analysis of Boolean functions is a field of study in mathematics and computer science that focuses on the properties and behaviors of Boolean functions, which are functions that take binary inputs (typically 0s and 1s) and produce binary outputs. This area of analysis is particularly useful in theoretical computer science, combinatorics, and various applications in machine learning, economics, and social choice theory.
Topos theory is a branch of category theory in mathematics that provides a unifying framework for different areas of mathematics, particularly in logic, set theory, and geometry. The term "topos" comes from the Greek word for "place," and in the context of mathematics, it refers to a more generalized notion of space or structure. At its core, topos theory is concerned with the study of categories that behave much like the category of sets, but with additional structural and categorical features.
"Computability in Europe" is a series of conferences and workshops focused on the field of computability theory, a branch of mathematical logic dealing with what can be computed or solved using algorithms and machines. The events bring together researchers and practitioners interested in topics related to computability, including theoretical aspects, practical applications, and connections to computer science, mathematics, and related disciplines. The conference series provides a platform for presenting new research, discussing advancements in the field, and fostering collaboration among scientists.
Indirect self-reference occurs when a statement refers to itself in a way that is not straightforward or explicit. This can happen through indirect means, such as using another statement or context that implies self-reference without directly stating it. For example, consider the phrase "This sentence is false." This is a direct form of self-reference. In contrast, an example of indirect self-reference could be a statement that refers to concepts or ideas related to itself rather than naming itself directly.
Promise theory is a conceptual framework used to understand the dynamics of cooperation and trust in relationships, organizations, and systems. Developed by Dr. Mark Burgess, it provides a way to model the interactions and agreements between different agents (which could be individuals, teams, organizations, or even software components) in terms of "promises." Key concepts of promise theory include: 1. **Promises**: These are commitments made by agents to other agents, signifying what they intend to deliver or do.
"Artificial creation" typically refers to the process of making or producing something that is not naturally occurring, often through human intervention or technological means. This can encompass a wide range of contexts, such as: 1. **Artificial Intelligence (AI)**: Creating computer systems that can perform tasks that typically require human intelligence, such as understanding language, recognizing patterns, or making decisions.
Astrochicken is a conceptual project and an internet meme originating from the 1980s that combines elements of humor, futurism, and absurdity. The term is often associated with the idea of genetically engineered chickens capable of surviving and thriving in space, reflecting a satirical take on technological advancements and scientific experimentation. The concept gained prominence in various online discussions, especially around topics related to biotechnology and the potential for genetic manipulation of animals for purposes beyond their natural environments.

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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  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