Wallis's conical edge refers to a concept in the context of the theory of conic sections and geometry, particularly as it relates to the work of the mathematician John Wallis. However, Wallis is primarily known for his contributions to calculus and the Wallis product for π. In mathematics, the term "conical edge" itself does not refer to a widely recognized concept.
Parallax is an effect that describes the apparent shift in the position of an object when viewed from different angles or perspectives. This phenomenon occurs because our viewpoint changes, allowing us to see different aspects of an object. In astronomy, parallax is used to determine the distance of stars and other celestial objects. By observing a star from two different points in Earth's orbit around the Sun (typically six months apart), astronomers can measure the angle of apparent shift against more distant background stars.
Fermat's principle, also known as the principle of least time, is a fundamental concept in optics formulated by the French mathematician Pierre de Fermat in the 17th century. It states that the path taken by a ray of light between two points is the one that can be traversed in the least time.
Hamiltonian optics is a framework for understanding the behavior of light and optical systems using principles derived from Hamiltonian mechanics, a reformulation of classical mechanics. This approach utilizes the mathematical structure and concepts of Hamiltonian systems to analyze optical phenomena, drawing parallels between the evolution of light rays and the motion of particles in classical mechanics. In Hamiltonian optics, light rays are treated as trajectories in a phase space, with the Hamiltonian function representing the energy of the optical system.
Minimum deviation is a concept that can refer to different things depending on the context. Here are a few interpretations: 1. **Statistics and Data Analysis**: In statistics, minimum deviation often refers to the smallest difference between observed values and a central value (like the mean or median). It's used in various statistical calculations and optimization problems to minimize the spread of data points.
In geometry, a normal plane is a concept related to the orientation of a surface or a curve in three-dimensional space. Specifically, it can refer to a plane that is perpendicular (normal) to a given line or surface at a specific point. 1. **Normal Plane to a Curve**: If we have a curve in three-dimensional space, the normal plane at a particular point on the curve is the plane that contains the normal vector at that point.
Pupil magnification refers to the phenomenon in optical systems where the apparent size of the pupil in the eye is altered due to the optics of an instrument, such as a microscope, telescope, or camera. It is particularly relevant in fields like ophthalmology and vision science, where understanding how optical systems interact with the visual system is essential. In practical terms, pupil magnification can be described in the context of how an optical device projects a scene through its optics to the observer's eye.
In optics, "tilt" refers to the angular displacement of a lens or optical component from its intended orientation or alignment with respect to an optical axis. When an optical element is tilted, it can result in several effects, including changes in the path of light rays passing through the element, which may lead to aberrations or distortions in the final image.
Ray transfer matrix analysis, often referred to simply as matrix analysis in optics, is a mathematical technique used to analyze the propagation of rays through optical systems, such as lenses, mirrors, and other optical components. The fundamental idea is to use matrices to describe the transformations that rays undergo as they pass through different optical elements. This approach is particularly useful in understanding and designing complex optical systems.
A hydrocarbon indicator refers to various methods or tools used to detect the presence of hydrocarbons in different environments, such as soil, water, or air. Hydrocarbons are organic compounds consisting entirely of hydrogen and carbon, and they are commonly found in fossil fuels like oil and natural gas.
As of my last knowledge update in October 2021, there does not appear to be any widely recognized figure, event, or term known as "Marie Torhorst." It's possible that it could refer to a lesser-known individual, a fictional character, or a newly emerged concept or event after my last update.
Ground-penetrating radar (GPR) is a non-destructive geophysical method that uses radar pulses to image the subsurface. It operates by emitting high-frequency electromagnetic waves into the ground and measuring the reflected signals that bounce back from subsurface structures or layers. GPR is widely used in various fields, including: 1. **Archaeology**: To detect and map artifacts, structures, and other archaeological features without excavation.
Total internal reflection is a phenomenon that occurs when a wave (such as light) traveling through a medium hits the boundary of a second medium at an angle greater than a critical angle, causing the wave to be completely reflected back into the first medium rather than refracting into the second medium. This phenomenon is most commonly observed when light travels from a denser medium (like water or glass) to a less dense medium (like air).
The Boulder Geomagnetic Observatory is a key research facility operated by the United States Geological Survey (USGS) located in Boulder, Colorado. It plays a significant role in studying the Earth's magnetic field and providing data for various scientific applications, including geomagnetism, space weather, and geophysical research.
Weston Observatory is an astronomical research facility associated with Boston College, located in Weston, Massachusetts. It is primarily used for educational and research purposes, catering to both undergraduate and graduate students in the field of astronomy and physics. The observatory houses several telescopes and equipment for observing astronomical phenomena, and it also serves as a site for public outreach activities, including lectures and star-gazing events.
The Chapman Medal is an award given by the Royal Astronomical Society (RAS) in the United Kingdom. It is named after the astronomer and mathematician, John Chapman, and is presented for distinguished contributions to the field of astronomy and geophysics. The medal is typically awarded to recognize significant achievements in research and development in these scientific disciplines.
The British Geophysical Association (BGA) is a professional association in the United Kingdom that focuses on the promotion and advancement of geophysical research and education. It serves as a platform for geophysicists and related professionals to connect, share knowledge, and collaborate on various aspects of geophysical science. The BGA organizes conferences, workshops, and seminars, providing opportunities for members to present their research, exchange ideas, and stay updated on the latest developments in the field.
Fan Li is a renowned statistician known for his contributions to various fields within statistics, particularly in areas such as statistical theory and methodology. He has published extensively on topics like statistical learning, theoretical statistics, and high-dimensional data analysis. His work often focuses on developing new statistical methods and exploring the theoretical foundations of existing techniques. Li has also been involved in various academic roles, contributing to the education and mentorship of students in statistics and data science.
Garnet Anderson may refer to different entities or individuals, but it is most notably associated with a well-known figure in the field of public health and epidemiology. Garnet Anderson is a researcher whose work has focused on women's health, cancer epidemiology, and the effects of lifestyle factors on health outcomes. She has contributed to various studies and publications in these areas.
Hal V. Barron is a prominent figure in the field of healthcare and pharmaceuticals, known for his leadership roles in various companies and organizations. He has served in executive positions, including as the Chief Executive Officer of GSK (GlaxoSmithKline) R&D and held prominent roles at Stanford University School of Medicine and the Stanford Cancer Institute. Barron has made significant contributions to cancer research and the development of new therapies.

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