The Lippmann electrometer is a type of sensitive instrument used to measure electric potential (voltage). It is based on the principle of measuring the height of a liquid column in a capillary tube, where the liquid is typically mercury. The device is named after the physicist Walter Lippmann. The basic working principle involves the following steps: 1. **Mercury Column**: The Lippmann electrometer uses a column of mercury contained in a glass tube.
Nav1.4, also known as the voltage-gated sodium channel type IV alpha subunit, is a protein that is encoded by the **SCN4A** gene in humans. It is primarily expressed in skeletal muscle and plays a critical role in the generation and propagation of action potentials in muscle fibers. Here are some key points about Nav1.4: 1. **Function**: Nav1.
Single sensillum recording (SSR) is a neurophysiological technique used to study the activity of individual sensory neurons, particularly those found within sensory organs known as sensilla in insects and other arthropods. This technique allows researchers to measure the electrical responses of individual sensory cells when they are stimulated by specific environmental stimuli, such as odors or chemicals.
Schöniger oxidation is a chemical reaction that involves the oxidation of organic compounds, particularly alcohols, to their corresponding carbonyl compounds, such as aldehydes and ketones. This reaction utilizes a mixture of selenium dioxide (SeO₂) and a suitable oxidizing agent, often hydrogen peroxide (H₂O₂), to achieve the oxidation.
Axial symmetry, also known as rotational symmetry or cylindrical symmetry, refers to a property of a shape or object where it appears the same when rotated around a particular axis. In simpler terms, if you can rotate the object about a specific line (the axis), it will look identical at various angles of rotation.
The Carius halogen method is a chemical analytical technique used to determine the halogen content, particularly the amount of chlorine, bromine, or iodine, in organic compounds. Named after the chemist Friedrich Carius who developed the method, it is a useful tool in organic chemistry and materials science for the analysis of halogenated organic compounds.
Voltage-sensitive dyes (VSDs) are specialized fluorescent dyes that can be used to measure the electrical activity of membranes, particularly in neurons and other excitable cells. These dyes change their fluorescence properties in response to changes in membrane potential, allowing researchers to visualize and quantify electrical signals in real-time. ### Key Features of Voltage-Sensitive Dyes: 1. **Mechanism**: VSDs typically contain a hydrophobic moiety that embeds within the lipid bilayer of the cell membrane.
A dodecagon is a twelve-sided polygon. The term comes from the Greek words "dodeca," meaning twelve, and "gonia," meaning angle. A regular dodecagon has all sides and angles equal, while an irregular dodecagon may have sides and angles of differing lengths and measures.
In geometry, a capsule is a three-dimensional shape formed by combining a cylindrical section with two hemispherical ends. Visually, it resembles a capsule or pill, which is where it gets its name. The geometric characteristics of a capsule can be defined based on parameters such as: 1. **Length**: The distance between the flat surfaces of the two hemispheres along the central axis of the cylinder.
Circle packing in an equilateral triangle refers to the arrangement of circles within the confines of an equilateral triangle such that the circles touch each other and the sides of the triangle without overlapping. This geometric configuration is of interest in both mathematics and art due to its elegance and the interesting properties that arise from the arrangement.
An octagon is a polygon that has eight sides and eight angles. The term comes from the Greek words "okto," meaning "eight," and "gonia," meaning "angle." In a regular octagon, all sides and angles are equal, with each internal angle measuring 135 degrees. The sum of the interior angles of an octagon is 1,080 degrees.
A Poncelet point is a concept in projective geometry, named after the French mathematicianJean-Victor Poncelet. It refers to a specific point associated with a pair of conics (typically two ellipses or hyperbolas) that have a certain geometric relationship.
Tarry Point typically refers to a geographic location or area, often used to describe a point along a river or body of water where there is a notable characteristic, such as a scenic overlook, recreational area, or a point where vessels may stop or anchor. One notable example is Tarrytown, New York, which is located near the Tarry Point on the Hudson River. This area is known for its picturesque views of the river and surrounding landscape, as well as historical significance.
A trapezoid (or trapezium, depending on regional terminology) is a type of quadrilateral, which means it is a polygon with four sides. In a trapezoid, at least one pair of opposite sides is parallel. The two parallel sides are referred to as the bases, while the other two sides are called the legs.
Elliptic curves are a specific type of curve defined by a mathematical equation of the form: \[ y^2 = x^3 + ax + b \] where \( a \) and \( b \) are real numbers such that the curve does not have any singular points (i.e., it has no cusps or self-intersections).
The term "Pentagon" can refer to a couple of different things, depending on the context: 1. **Geometric Shape**: A pentagon is a five-sided polygon in geometry. It has five edges and five vertices. Regular pentagons have sides of equal length and equal angles, while irregular pentagons may have sides and angles of varying lengths and measures. The interior angles of a pentagon sum to 540 degrees.
The Dirichlet function is a classic example of a function that is used in real analysis to illustrate concepts of continuity and differentiability.
The Aeronautical Message Handling System (AMHS) is a system designed for the exchange of aeronautical messages between various air traffic management (ATM), air navigation service providers (ANSPs), and other aviation-related organizations. It serves as a critical communication backbone in the aviation industry, facilitating the transfer of important operational data, flight plans, weather information, and other essential messages.
The term "fundamental pair of periods" typically refers to a specific concept in the realm of complex analysis, particularly in the study of elliptic functions and tori. In the context of elliptic functions, a fundamental pair of periods consists of two complex numbers, usually denoted by \(\omega_1\) and \(\omega_2\), which define the lattice in the complex plane that corresponds to an elliptic function. ### Key Points 1.
Jacobi theta functions are a set of complex functions that play a significant role in various areas of mathematics, including number theory, algebraic geometry, and mathematical physics. They are fundamental in the theory of elliptic functions.

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