A thermal copper pillar bump is a type of microelectronic interconnect technology used to improve heat dissipation and electrical performance in semiconductor devices, particularly in 3D packaging and flip-chip applications. Here are some key points about thermal copper pillar bumps: 1. **Structure**: A copper pillar bump typically consists of a small vertical column (the pillar) made of copper. It can be formed directly on the chip's surface or on a substrate.
Vortex lift is a phenomenon in aerodynamics, particularly relevant in the context of aircraft wing performance. It refers to the enhanced lift produced by the vortices formed at the leading edges of a wing or airfoil, especially at high angles of attack. When an aircraft wing is at a high angle of attack, the airflow separates from the wing's upper surface, creating a rotating flow of air known as a vortex.
A thermodynamic state describes the condition of a system at a given time, characterized by specific properties such as temperature, pressure, volume, and internal energy. These properties collectively define the state and behavior of the system in thermodynamics. In thermodynamics, a state can be represented by its state variables, which include: 1. **Temperature (T)**: A measure of the thermal energy of the system. 2. **Pressure (P)**: The force exerted per unit area within the system.
The transcritical cycle is a type of thermodynamic cycle used primarily in refrigeration and heat pump applications that operate with carbon dioxide (CO₂) as a refrigerant. This cycle is characterized by its ability to operate above the critical point of the refrigerant, which in the case of CO₂ is about 31°C (88°F) and 73.8 bar (1060 psi).
The Wohl model is a theoretical framework used in the field of chemistry and materials science, particularly for studying phase transitions and the thermodynamic behavior of systems. It is often associated with the way certain materials behave under varying conditions of temperature and pressure.
Working fluid selection refers to the process of choosing the appropriate fluid to act as the working medium in a thermodynamic cycle or system. This selection is crucial in various engineering applications, such as in refrigeration, HVAC (heating, ventilation, and air conditioning) systems, power generation, and heat exchangers. The performance, efficiency, safety, and environmental impact of the respective systems can significantly depend on the selected working fluid.
An anticyclonic storm is a type of weather system characterized by high atmospheric pressure at its center. In meteorology, "anticyclone" refers to a region where the atmospheric pressure is significantly higher than that of the surrounding areas. In an anticyclonic system, air descends and spreads outward, leading to generally clear and stable weather conditions.
Australian High generally refers to the Australian High Commission, which represents Australia in various countries, or it could pertain to Australian higher education institutions that offer university-level education.
The Azores High, also known as the Azores Anticyclone, is a large area of high atmospheric pressure located over the North Atlantic Ocean, near the Azores islands (a group of islands that are part of Portugal). It is a semi-permanent feature that forms primarily because of the warming of the ocean surface and the resulting atmospheric circulation patterns.
The Ridiculously Resilient Ridge (RRR) refers to a persistent high-pressure system in the atmosphere that can influence weather patterns, particularly in the western United States. This phenomenon gained attention starting around 2013 when it became more prominent in discussions about drought conditions and climate patterns in California and the surrounding areas. The RRR is characterized by unusually high atmospheric pressure that can remain stationary for extended periods, leading to dry, warm conditions.
An air vortex cannon is a device that generates and propels a doughnut-shaped vortex of air, which can be used to create a concussive wave of air or to propel small objects. The principle behind a vortex cannon relies on the creation of a rotating column of air that has lower pressure in the center compared to the surrounding air, resulting in a stable vortex that can travel over a distance.
Elmarit is a designation used by the German optics manufacturer Leica for a series of camera lenses, particularly those used with Leica cameras. The designation is often associated with high-quality photographic lenses that provide sharp images and good optical performance. The term "Elmarit" is typically followed by a focal length measurement (e.g., "28mm Elmarit" or "50mm Elmarit"), indicating the specific type or model of the lens.
In fluid dynamics, an "eddy" refers to a localized, swirling flow of fluid that occurs in various types of fluids, be they gases or liquids. Edies develop when the flow of the fluid is disturbed by obstacles, changes in flow velocity, or other discontinuities, leading to a rotational motion of fluid particles.
A post-tropical cyclone is a storm system that has lost its tropical characteristics, typically due to cooler sea surface temperatures or interaction with land. While it may still retain some features of a tropical system, such as a well-defined circulation, it no longer meets the criteria to be classified as a tropical storm or hurricane. Post-tropical cyclones can take on a variety of forms, including extratropical cyclones, which are characterized by fronts and a temperature gradient.
A smoke ring is a vortex of smoke that forms in a circular shape. It is created when a puff of smoke is expelled from a source, such as the mouth, a smoke ring machine, or a cigar, and the motion of the smoke creates a toroidal (doughnut-shaped) formation. The smoke ring is characterized by its circular motion, which is a result of differences in pressure and velocity within the smoke itself.
The angular velocity tensor is a mathematical representation of the angular velocity of a rigid body or a system of particles in three-dimensional space. Unlike the scalar angular velocity, which describes the rate of rotation around a single axis, the angular velocity tensor conveys how an object rotates about multiple axes simultaneously. ### Definitions and Components 1.
The Exterior Angle Theorem is a fundamental principle in triangle geometry that relates the measures of an exterior angle of a triangle to the measures of its remote interior angles. The theorem states that: In any triangle, the measure of an exterior angle is equal to the sum of the measures of the two opposite (or remote) interior angles. To illustrate, consider triangle ABC where angle C is an exterior angle formed by extending side AC.
Hyperbolic orthogonality is a concept that arises in the context of hyperbolic geometry, a non-Euclidean geometry characterized by its unique properties in relation to distances and angles. In Euclidean geometry, orthogonality refers to the notion of two lines being perpendicular to each other, typically in two or three-dimensional spaces. In hyperbolic geometry, the definitions and implications of angles and orthogonality differ from those in Euclidean geometry.
Magnetic declination, also known as magnetic variation, is the angle between magnetic north (the direction a compass points) and true north (the geographic north pole) at a given location on the Earth's surface. This angle is measured in degrees east or west from true north. Because the Earth's magnetic field is not uniform, magnetic declination varies depending on where you are located. It can change over time due to shifts in the Earth’s magnetic field.
The term "subtended angle" refers to the angle formed by two lines or segments that extend from a specific point to the endpoints of a line segment or arc. More commonly, it is used in geometry to describe the angle at a particular point (the vertex) which "sees" a given arc or segment.

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