"Discoveries by astronomers" refers to the various significant findings, observations, and theories developed by astronomers throughout history that have greatly advanced our understanding of the universe. Some key categories and examples of these discoveries include: 1. **Planetary Discoveries**: The discovery of planets such as Uranus by William Herschel in 1781 and Neptune by Johann Galle and Heinrich d'Arrest in 1846.

Edward Roy Pike is not widely recognized in historical or popular contexts, so it's possible that you might be referring to a lesser-known individual or a specific context that isn't widely documented.

Bruria Kaufman is known for her contributions to the field of mathematics, particularly in functional analysis and operator theory. She was an influential mathematician and is recognized for her work in advancing the understanding of various mathematical concepts. Additionally, Kaufman was a member of the Hebrew University of Jerusalem, where she made significant contributions to the academic community. Her legacy also extends to her role as a mentor and advocate for women in mathematics, inspiring many through her work and dedication to the field.

HH-suite is a software tool designed for sensitive sequence searching and protein homology detection. It is particularly focused on finding homologous sequences in large databases using HMM-HMM (Hidden Markov Model - Hidden Markov Model) comparisons. HH-suite builds on the principles of HMMER and allows for the comparison of sequences to HMMs derived from multiple sequence alignments, enabling the identification of distant homologs that might not be detected by traditional sequence alignment methods.

Hideyuki Matsumura does not appear to be a widely recognized figure in contemporary popular culture, history, or notable fields based on the information available up to October 2023. It's possible that he is a lesser-known individual in a specific professional niche or a figure that has become more prominent after that date.

The Hobby–Rice theorem is a result in the field of functional analysis, specifically related to the theory of compact operators on Banach spaces. The theorem provides conditions under which a certain type of operator can be approximated by finite-rank operators, which are often easier to deal with. The theorem is essentially a characterization of weakly compact sets in certain contexts.

Randomized rounding is an algorithmic technique often used in the context of approximation algorithms and integer programming. It is particularly useful for dealing with problems where one needs to convert a fractional solution (obtained from solving a linear relaxation of an integer programming problem) into a feasible integer solution, while maintaining a certain level of optimality. ### Overview: 1. **Linear Relaxation**: In integer programming, the objective is to find integer solutions to certain optimization problems.

Hubert Yockey (1916-2021) was a physicist and information theorist, known primarily for his work on the origin of life and the application of information theory to biological systems. He had an extensive background in physics and computer science and is best recognized for his critiques of neo-Darwinism and contributions to the discourse surrounding the scientific examination of life's origins.

"Limousin" can refer to different things depending on the context: 1. **Region in France**: Limousin is a historic region in south-central France, known for its beautiful landscapes, rural charm, and historical towns. It is characterized by its rolling hills, lakes, and forests. The region is also known for its distinctive cuisine and cultural heritage.

A random number is a value generated in such a way that each possible outcome is equally likely to occur, typically within a specified range. Random numbers can be used in various applications, including statistics, simulations, cryptography, gaming, and more. There are two main types of random number generation: 1. **True Random Numbers (TRNGs)**: These are generated from inherently unpredictable physical processes, such as electronic noise, radioactive decay, or thermal noise.

Spot-future parity is a financial principle that defines the relationship between the spot price of an asset and its futures price in a frictionless and efficient market. According to this concept, the current spot price of an asset and its futures price should be in equilibrium, taking into account the cost of carry. The cost of carry includes factors such as storage costs, financing costs, and any income generated from holding the asset (like dividends or interest).

The Irish Centre for High-End Computing (ICHEC) is a national center in Ireland that provides high-performance computing (HPC) resources and services to researchers and institutions across the country. Established to support scientific research and innovation, ICHEC offers access to advanced computational resources, expertise in high-performance computing techniques, and assistance in using these resources effectively for various applications.

Alice Vrielink may not be a widely recognized figure or concept as of my last training cut-off in October 2023. It's possible that she could be an emerging public figure, a private individual, or a character from a specific work of fiction, art, or media that has gained attention after that date.

Ambient pressure refers to the pressure exerted by the weight of the atmosphere at a given location, as well as the pressure of any surrounding gaseous substances in the environment. It is often considered the baseline pressure that exists in a specific environment, typically measured in units such as Pascals (Pa), atmospheres (atm), or millimeters of mercury (mmHg).

The term "Area Compatibility Factor" is not a widely recognized standard term in any specific field, but it can be interpreted based on the context in which it is used. In general, it may relate to areas such as urban planning, environmental management, or computational modeling, where it might describe how well different areas or regions can function together or how compatible they are based on certain criteria.