Cohomology of algebras is a mathematical framework that extends the concepts of cohomology from topological spaces and differential geometry to algebraic structures, such as associative algebras, Lie algebras, and more generally, algebraic structures equipped with an action. At its core, cohomology assigns algebraic invariants (usually in the form of cohomology groups or cohomology spaces) to an algebraic object, which can provide insights into its structure and properties.

"Pumps" can refer to several things depending on the context. Here are a few common interpretations: 1. **Mechanical Pumps**: Devices that move fluids (liquids or gases) by mechanical action. They are used in various applications, such as water supply, heating, and industrial processes. Types of mechanical pumps include centrifugal pumps, positive displacement pumps, and diaphragm pumps.

Surveillance capitalism is a term coined by Shoshana Zuboff in her 2019 book, "The Age of Surveillance Capitalism: The Fight for a Human Future at the New Frontier of Power." It refers to a new economic system that capitalizes on the collection and analysis of vast amounts of personal data generated by individuals through their interactions with digital technologies, particularly the internet, social media, and mobile devices.

The UCLA Henry Samueli School of Engineering and Applied Science (often referred to as UCLA Engineering) is one of the premier engineering schools in the United States, part of the University of California, Los Angeles (UCLA). Established in 1936, the school offers a wide range of undergraduate and graduate programs across various engineering disciplines.

Mixed Hodge modules are a sophisticated mathematical concept that arises in the intersection of algebraic geometry, Hodge theory, and the theory of perverse sheaves. They were introduced by the mathematician Mitsuhiro Shintani in a 2000 paper and are part of the framework for understanding the properties of complex algebraic varieties and their singularities.

The Cartan–Eilenberg resolution is a method in homological algebra that provides a way to resolve certain algebraic structures (such as modules or complexes) using projective or injective resolutions. It is particularly useful in the context of derived functors and in studying the homological properties of chain complexes.

Factorization homology is a concept from the field of algebraic topology and homotopy theory, particularly in the context of homology theories that are associated with topological spaces and manifolds. It is a way of deriving a homology theory from the structure of a space by using "factorization" properties of differentials forms or more general coefficients.

The Eilenberg–Zilber theorem is a result in algebraic topology and homological algebra that provides a way to compute the singular homology of a product of two topological spaces. Specifically, the theorem addresses the relationship between the singular chains on the product of two spaces and the singular chains on the spaces themselves.

The Koszul complex is a construction in algebraic topology and commutative algebra that arises in the study of modules over a ring and their syzygies. It is particularly useful for understanding the structure of modules over a polynomial ring and in computing homological properties.

The Künneth theorem is an important result in algebraic topology that relates the homology groups of a product of two topological spaces to the homology groups of the individual spaces. It is particularly useful in the computation of homology groups for spaces that can be expressed as products of simpler spaces.

Grothendieck's Tôhoku paper, formally titled "Éléments de géométrie algébrique I: La théorie des schémas," is a seminal work published in 1960 in the journal "Tohoku Mathematical Journal." This paper is one of the foundational texts in the field of algebraic geometry and represents a major step forward in the development of the theory of schemes.

As of my last update, there is no widely recognized figure or concept known as "Janez Lawson." It's possible that it may refer to a private individual, a recent event, or a niche topic that has emerged after my last training cut-off in October 2023.

Anne Walker is an American astronomer known for her contributions to observational astronomy, particularly in the study of star clusters and the dynamics of galaxies. Her work often involves the use of advanced astronomical techniques and instruments to better understand the formation and evolution of these celestial objects.

Frances Spence might refer to different topics or individuals, but one prominent figure by that name is a notable computer scientist known for her work in the field of programming languages and software engineering. She is particularly noted for contributions to the development of influential languages and methodologies.

The term "cut-off factor" can refer to different concepts depending on the context in which it is used. Here are a few common interpretations: 1. **In Electrical Engineering**: The cut-off factor may refer to a ratio used to determine the frequency response of a filter or a circuit, specifically relating to the frequency at which the output power is reduced to half its maximum value (usually -3 dB point).

Mary Edwards was one of the early "human computers," a term used to describe individuals who performed complex mathematical calculations by hand before the advent of electronic computers. Human computers were particularly important in fields such as astronomy, engineering, and physics, where precise calculations were essential. Mary Edwards is best known for her work during the early 20th century, particularly at the National Advisory Committee for Aeronautics (NACA), the precursor to NASA.

Nicole-Reine Lepaute (1723–1788) was a French mathematician and astronomer known for her work in the field of celestial mechanics. She is particularly recognized for calculating the orbits of comets and for her contributions to the prediction of the transit of Venus across the Sun in 1761 and 1769.

The Delta Works is a series of construction projects in the Netherlands aimed at protecting the southwestern part of the country from the sea. This extensive system was developed in response to the devastating North Sea Flood of 1953, which caused significant loss of life and damage. The Delta Works includes a combination of dams, sluices, locks, dikes, and levees designed to manage and control water levels in the region.

Hydraulic actuators are devices that utilize the principles of hydraulics to convert hydraulic pressure into mechanical motion. They are commonly used in various applications where controlled, powerful, and precise movements are required. Here’s a breakdown of how they work and their essential characteristics: ### How Hydraulic Actuators Work: 1. **Hydraulic Fluid**: Hydraulic actuators use fluid (often oil) incompressible under pressure. The hydraulic fluid is contained in a system of pipes, valves, and cylinders.

Affinity laws, also known as pump affinity laws or fan affinity laws, are mathematical relationships that describe how the performance of a fan or pump changes with variations in speed, flow rate, and other parameters. These laws are particularly useful in understanding how changes in one variable will affect others, thereby enabling engineers and technicians to predict system performance when making adjustments to equipment.