The International Association for Mathematical Geosciences (IAMG) is an organization dedicated to the application of mathematical and statistical techniques in the geosciences. The IAMG recognizes outstanding contributions in this field through various awards. The primary awards typically include: 1. **The William Christian Krumbein Medal**: This award is presented to individuals who have made significant contributions to mathematical geosciences. 2. **The H.
The Awards of the Committee of Presidents of Statistical Societies (CPSS) are honors given to recognize outstanding contributions to the field of statistics. The Committee of Presidents of Statistical Societies is an organization that includes leaders from various statistical societies, and their awards often highlight significant achievements in statistical research, education, and the application of statistics.
Thin-walled beams are structural elements characterized by their relatively small thickness compared to their other dimensions (length and height). These beams typically have a wall thickness that is significantly smaller than the overall dimensions, which results in a low moment of inertia and distinct structural behavior compared to solid beams.
Statically indeterminate structures are those in which the static equilibrium equations (the conditions for forces and moments to balance) are not sufficient to determine all the internal forces and reactions. In other words, there are more unknowns than available equations from static analysis. In structural engineering and mechanics, a structure is considered statically indeterminate when it has redundant supports or members that do not allow for the complete determination of internal forces and reactions using just the equations of equilibrium (i.e.
The P-delta effect, or P-Δ effect, is a phenomenon in structural engineering that refers to the additional moments and forces in a structure caused by the lateral displacements that occur due to axial loads. The term "P" represents the axial load (typically due to gravity), and "Δ" represents the lateral displacement of the structure, such as from wind or seismic activity. When a vertical load is applied to a structure, it may cause the structure to sway or deform laterally.
The term "neutral plane" can refer to different concepts depending on the context, particularly in fields such as physics, engineering, and structural analysis. Here are a few interpretations: 1. **In Mechanics and Structural Engineering**: The neutral plane is a theoretical line in a beam or structural element where the material is not subjected to tensile or compressive stress during bending. When a beam bends, the top fibers experience compression while the bottom fibers experience tension.
Mechanical equilibrium refers to a state in which the net force and net torque acting on a system are both zero. When a system is in mechanical equilibrium, it is either at rest (static equilibrium) or moving with a constant velocity (dynamic equilibrium). There are two key conditions for mechanical equilibrium: 1. **First Condition - Translational Equilibrium**: The sum of all forces acting on an object must be zero.
The Gömböc is a three-dimensional, convex shape that has the unique property of being a self-righting object. This means that when it is tipped over, it will return to its stable equilibrium position without any external assistance. The Gömböc is characterized by having only one stable equilibrium point and one unstable equilibrium point, a feature that distinguishes it from other shapes.
A beam, in structural engineering, is a fundamental component used to support loads. It is typically a long and sturdy member designed to span distances and transfer loads, such as weight from a roof, floor, or any additional structure, to vertical supports like columns or walls. Beams can be made from various materials, including wood, steel, concrete, or reinforced concrete, depending on the application and structural requirements.
Airy points are specific locations in geophysics and astronomy where gravitational and centrifugal forces are perfectly balanced, allowing for stable orbits of satellite objects. They are closely related to the concept of "Lagrange points," which are positions in space where the gravitational forces of two large bodies, such as Earth and the Moon, allow a smaller object to maintain a stable position relative to the two larger bodies.
A rigid body is a physical object that maintains its shape and size regardless of the forces and torques acting upon it. In other words, the distances between any two points within a rigid body remain constant, even when the body is subjected to external influences such as forces, moments, or impacts. In the context of physics and engineering, the concept of a rigid body is an idealization that simplifies the analysis of motion, forces, and dynamics.
T Tauri winds refer to the strong stellar winds associated with T Tauri stars, which are a class of young, variable stars that are typically in the early stages of stellar evolution. These stars are generally less than a few million years old and are often found in star-forming regions. The winds from T Tauri stars are driven by the intense magnetic activity and convection processes in their outer layers. This results in the ejection of material from the star's surface at high speeds.
A T Tauri star is a type of young, pre-main-sequence star that is in the process of forming. These stars are typically less than a few million years old and are characterized by their variability in brightness and strong stellar winds. T Tauri stars are associated with the early stages of star development, often found in star-forming regions such as molecular clouds. The name "T Tauri" comes from the prototype star of this category, which is located in the constellation Taurus.
The SSPSF model stands for "Stability, Sensitivity, Persistence, Structure, and Function" model. This framework is primarily used in ecological and environmental studies to assess and analyze the stability and resilience of ecosystems or ecological systems. 1. **Stability**: This refers to the ability of an ecosystem to maintain its structure and function over time, even in the face of disturbances or changes.
The Radcliffe wave is a large, undulating structure in the distribution of stars in the Milky Way galaxy. It was discovered in 2021 and is characterized by a wave-like pattern formed by the positions of various stars, especially in the vicinity of the solar system. This wave is thought to be approximately 400 light-years wide and can extend for thousands of light-years across the galaxy.
In astronomy, "quenching" refers to the process that leads to the suppression or cessation of star formation in galaxies. This phenomenon typically occurs in certain types of galaxies, particularly those that transition from being star-forming (or "blue") to quiescent (or "red") galaxies.
A protostar is an early stage in the formation of a star. It forms from a cloud of gas and dust in space, known as a nebula, which undergoes gravitational collapse. As the material in the nebula comes together, it begins to clump and compact, leading to an increase in temperature and pressure at the center of the forming star.
A pre-main-sequence star is a young star that is in the process of forming and has not yet reached the stable state of hydrogen fusion that characterizes main-sequence stars. This phase occurs after a star has formed from a collapsing cloud of gas and dust (a protostar) but before it begins hydrogen burning in its core. During the pre-main-sequence stage, the star is typically still gaining mass as material from the surrounding accretion disk falls onto it.

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