A wind wave model is a mathematical representation used to simulate and predict the generation, propagation, and decay of wind-generated waves on the surface of oceans and large bodies of water. These models play a crucial role in understanding wave behavior, which is important for various applications, including marine navigation, coastal engineering, and understanding sediment transport or erosion.
The electric dipole moment is a measure of the separation of positive and negative charges within a system. It is a vector quantity that indicates the strength and direction of an electric dipole.
Logarithmic scales are a way of measuring and representing values that can cover a wide range, where each unit increase on the scale corresponds to a multiplication of the quantity rather than a simple addition. This means that on a logarithmic scale, each step represents a power of a base value, typically 10 (common logarithm) or \( e \) (natural logarithm).
Physical constants are quantities in physics that are universally recognized and remain constant in nature, regardless of the conditions or situations in which they are observed. These constants serve as fundamental building blocks in various scientific equations and theories, providing a framework for understanding physical phenomena. Some well-known examples of physical constants include: 1. **Speed of Light (c)**: Approximately \( 3.00 \times 10^8 \) meters per second. It represents the speed at which light travels in a vacuum.
The attenuation coefficient is a measure of how much a particular material reduces the intensity of a beam of electromagnetic radiation, such as light, X-rays, or gamma rays, as it passes through that material. It quantifies the level of attenuation — that is, the decrease in intensity or amplitude of the radiation due to scattering and absorption.
API gravity is a measure of the density of petroleum liquids relative to water. It is expressed in degrees API (°API), which is a specific gravity scale developed by the American Petroleum Institute (API). The API gravity is used to categorize crude oil and other petroleum products based on their density and is an important factor in the oil and gas industry. The formula for calculating API gravity is: \[ \text{API Gravity} = \frac{141.
Characteristic admittance is a parameter used in electrical engineering, particularly in the analysis of transmission lines and wave propagation in circuits. It is defined as the complex ratio of the phasor current to the phasor voltage along a transmission line.
Circular dichroism (CD) is a spectroscopic technique used to measure the differential absorption of left-handed and right-handed circularly polarized light by optically active substances. This property is typically associated with chiral molecules, such as proteins, nucleic acids, and some small organic compounds. In CD spectroscopy, when a chiral molecule interacts with circularly polarized light, it can absorb one polarization more than the other, leading to a measurable difference in the intensity of the transmitted light.
In physics, particularly in fluid dynamics, "circulation" is a measure of the rotation of a fluid around a closed curve. It is defined mathematically as the line integral of the velocity field of the fluid around a closed loop.
Effective dose is a measure used to quantify the health risk associated with exposure to ionizing radiation. It takes into account not only the amount of radiation absorbed by individuals (dose) but also the biological effect of that radiation on different tissues and organs in the body. This is particularly important because various types of radiation (such as alpha, beta, and gamma radiation) and different organs have different sensitivities to radiation damage.
In the context of physics, intensity is generally defined as the amount of energy transferred per unit area per unit time. It is a measure of the power (energy per unit time) received or transmitted through a surface, often associated with waves, such as light waves, sound waves, or other forms of electromagnetic radiation.
Electrical resistance and conductance are two fundamental concepts in electrical engineering and physics that describe how materials respond to the flow of electric current. ### Electrical Resistance **Definition**: Electrical resistance is a measure of the opposition that a material offers to the flow of electric current. It is denoted by the symbol \( R \). **Unit**: The unit of resistance is the ohm (Ω).
The nucleon magnetic moment refers to the magnetic moment associated with nucleons, which include protons and neutrons. The magnetic moment is a vector quantity that represents the magnetic properties of a particle due to its charge and spin. ### Proton Magnetic Moment The magnetic moment of a proton is approximately given as: - **Proton (\(p\))**: \(\mu_p \approx +2.
Huber's equation refers to the **Huber loss function**, which is used in robust regression and is particularly useful when dealing with outliers in data. The Huber loss combines the squared loss and absolute loss, providing a balance between the two.
The Lamb shift is a small difference in energy levels of hydrogen-like atoms, specifically in the electron energy levels of these atoms, that is a result of quantum electrodynamics (QED) effects. More specifically, it refers to the splitting between the 2s and 2p energy levels in hydrogen, which was first observed experimentally by Willis Lamb and Robert Retherford in 1947.
Electromagnetism is a fundamental branch of physics that studies electric and magnetic fields and their interactions with matter.
Relative velocity is the measure of the velocity of an object as observed from another moving object. In simpler terms, it refers to how fast one object is moving in relation to another object.
Quantity calculus is a formalism used in systems theory and related fields that focuses on the quantitative aspects of variables and their relationships in dynamical systems. It provides a way to analyze and manipulate physical quantities, often incorporating integration and differentiation techniques akin to traditional calculus but specifically tailored for quantities that may not have a fixed mathematical form. In essence, quantity calculus can be viewed as a specialized version of calculus applied to systems where measurement values, their interactions, and transformations are of primary interest.
The ion transport number, also known as the transference number, is a measure of the contribution of a particular ion to the total electrical conductivity of an electrolyte solution. It quantifies the fraction of the total current conducted by a specific ion as it migrates in an electric field. In an electrochemical system, when an electric field is applied, ions in solution will move towards the electrodes.
The list of materials properties refers to the specific characteristics or attributes that define how materials behave under various conditions. These properties are essential in materials science and engineering as they influence the selection, performance, and application of materials in different contexts. Below are some key categories of materials properties: ### 1. **Mechanical Properties** - **Strength**: The ability of a material to withstand an applied force without failure (e.g., tensile strength, compressive strength).

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