Holmström's theorem, named after the economist Bengt Holmström, is a result in the field of contract theory. It revolves around the design of contracts in situations where there is asymmetric information, specifically regarding effort or actions taken by agents that cannot be perfectly observed by the principal. The key insights from Holmström's theorem are: 1. **Incentive Compatibility**: The theorem underscores the importance of designing contracts that provide the right incentives for agents (e.g.

A homothetic vector field is a type of vector field in differential geometry and the study of Riemannian manifolds that encodes self-similarity characteristics of the manifold. More precisely, a vector field \( V \) on a Riemannian manifold \( (M, g) \) is said to be homothetic if it generates homotheties of the metric \( g \).

Hooke's Law states that the force \( F \) exerted by a spring is directly proportional to the displacement \( x \) from its equilibrium position, provided that the elastic limit is not exceeded.

The Hopf fibration is a mathematical construction that represents a particular way of decomposing certain spheres into circles. Named after Heinz Hopf, who introduced the concept in 1931, it provides a fascinating connection between topology, geometry, and algebra. Specifically, the Hopf fibration describes a fibration of the 3-sphere \( S^3 \) over the 2-sphere \( S^2 \) with the fibers being circles \( S^1 \).

Horizontal resistance refers to a level in a financial asset's price chart where the price tends to stop rising and may reverse direction. This is often seen as a price level where a significant number of sellers enter the market, causing the price to struggle to move above that level. In technical analysis, horizontal resistance is represented visually by a horizontal line drawn across the peaks in a price chart, indicating areas where the price has historically struggled to break through.

The Howland Will Forgery Trial refers to a legal case involving accusations of will forgery associated with the estate of an individual named Howland.

HTR3E refers to a specific type of serotonin receptor known as the 5-HT3 receptor, subtype E. Serotonin receptors are a class of receptors that bind serotonin (5-HT) and are involved in a variety of physiological and pharmacological processes. The 5-HT3 receptor is a ligand-gated ion channel that, when activated by serotonin, allows the flow of ions, which can lead to neuronal excitation.

Hubert Bray is a mathematician known for his work in the fields of differential geometry and general relativity, particularly in the study of geometric analysis. He has made significant contributions to topics such as minimal surfaces and the study of the topology of manifolds.

A humbucker is a type of electric guitar pickup designed to eliminate the electrical hum and noise that can be picked up by single-coil pickups. The name "humbucker" comes from its primary function: it "bucks" or cancels out the hum that is often introduced by electromagnetic interference. Humbuckers typically consist of two coils of wire wound around a magnetic core, positioned close to each other. These coils are wired in such a way that their outputs are out of phase.

Humiliation is the act of making someone feel ashamed, embarrassed, or degraded, often by putting them in a situation that lowers their dignity or self-esteem. It can occur in various contexts, such as social interactions, workplaces, academic settings, or intimate relationships. The experience of humiliation can be deeply impactful, leading to feelings of inferiority, worthlessness, or distress. It can result from intentional actions by others or can be a consequence of certain social dynamics or environments.

Hurricane Lorenzo was a powerful tropical cyclone that occurred in the Atlantic Ocean in September and October 2019. It was notable for being one of the strongest hurricanes to form in the eastern part of the Atlantic Ocean. Lorenzo originated from a tropical wave that moved off the coast of Africa and developed into a tropical storm on September 28, 2019.

A hybridization probe is a nucleic acid sequence, typically a DNA or RNA strand, that is used to detect the presence of complementary sequences in a sample. These probes are often used in molecular biology techniques such as PCR (polymerase chain reaction), Southern blotting, Northern blotting, and fluorescence in situ hybridization (FISH).

A hybrid market is a marketplace that combines elements of both traditional physical commerce and digital or online commerce. This structure allows businesses and consumers to interact and transact using multiple channels, such as in-person sales, e-commerce, mobile apps, and digital platforms. ### Key Characteristics of Hybrid Markets: 1. **Integration of Channels**: Hybrid markets leverage both online and offline channels, allowing consumers to choose their preferred method of purchasing.

HYDAC is a global company based in Germany that specializes in the development, manufacturing, and distribution of products and systems for fluid power, automation, and environmental technologies. Founded in 1963, HYDAC focuses on hydraulic and lubrication systems, as well as various components such as filters, accumulators, sensors, and cooling systems. The company's products are widely used in various industries, including construction machinery, mobile applications, industrial machinery, and energy technology.

A hygrometer is an instrument used to measure the humidity, or moisture content, in the air. It can provide readings in various units, such as relative humidity percentage, absolute humidity, or dew point temperature. There are several types of hygrometers, including: 1. **Mechanical Hygrometers**: These use materials that expand or contract with moisture levels, often represented by a dial or needle.

A **hyperperfect number** is a generalization of perfect numbers. While a perfect number is defined as a positive integer that is equal to the sum of its proper divisors (excluding itself), hyperperfect numbers extend this concept by introducing a parameter. In particular, a hyperperfect number can be defined in relation to a positive integer \( k \).

I/O scheduling refers to the method by which an operating system determines the order in which I/O operations are processed. It involves managing the access to input/output devices—such as hard drives, network interfaces, and other peripherals—to optimize system performance, resource utilization, and responsiveness. Key objectives of I/O scheduling include: 1. **Maximizing Throughput**: Ensuring the highest number of I/O operations are completed in a given time frame.

"Irish measure" refers to a system of measurement traditionally used in Ireland, often for various agricultural and trade purposes. It includes units for measuring quantities of grain, land, and other goods. Some examples of Irish measures include: 1. **Barley measure**: Used for measuring grain, where a barrel could hold a specific quantity of barley. 2. **Acres and roods**: Traditional units for measuring land area, with an acre being a standard unit.

Magic in fiction refers to the use of supernatural elements, forces, or powers that allow characters to perform actions that defy the laws of nature or reality as understood in the real world. It can manifest in various forms, including: 1. **Magical Systems**: Fiction often establishes a set of rules governing how magic works. This can include the source of magical power (e.g., ancient artifacts, innate abilities, or learned skills) and the limitations or costs associated with its use.

Isabelle Stengers is a Belgian philosopher and a prominent figure in the field of science and technology studies (STS). Born on August 8, 1949, she is known for her work on the philosophy of science, particularly her exploration of the relationships between science, society, and politics.