Hanna Neumann (1914–1993) was a prominent German mathematician known for her contributions to group theory, particularly in the area of infinite groups. She made significant advances in the understanding of groups and their substructures. Neumann was also known for her work on the algebraic properties of groups and played a key role in the development of certain concepts within group theory.

A good project to see UARTs at work in all their beauty is to connect two Raspberry Pis via UART, and then:

Part of the beauty of this is that you can just connect both boards directly manually with a few wire-to-wire connections with simple jump wire. Its simplicity is just quite refreshing. Sure, you could do something like that for any physical layer link presumably...

Remember that you can only have one GNU screen connected at a time or else they will mess each other up: unix.stackexchange.com/questions/93892/why-is-screen-is-terminating-without-root/367549#367549

On Ubuntu 22.04 you can screen without sudo by adding yourself to the dialout group with:

There is no userland process for it, it is handled directly by the Linux kernel: unix.stackexchange.com/questions/439801/what-linux-process-is-responsible-for-responding-to-pings/768739#768739

By Evan Chen.

800+ page PDF with source on GitHub claiming to try and teach the beauty of modern maths for high schoolers. Fantastic project!!!

The Grothendieck spectral sequence is a powerful tool in algebraic geometry and homological algebra, providing a method for computing the derived functors of a functor that is defined in terms of a different functor. It is commonly used in the context of sheaf cohomology. The context in which the Grothendieck spectral sequence typically arises is in the cohomology of sheaves on a topological space (often a variety or scheme).

Decomposition of spectrum in functional analysis refers to the analysis of the set of values (the spectrum) associated with a linear operator or a bounded linear operator on a Banach space (or a linear operator on a Hilbert space), and it often involves breaking down the spectrum into different components to better understand the operator's behavior. ### Key Concepts 1.

A "starlike tree" refers to a specific structure in graph theory, particularly in the study of trees and networks. A tree is a connected acyclic graph, and when we describe a tree as "starlike," it typically means that the tree has a central node (often referred to as the "root") from which a number of other nodes (or "leaves") radiate.

Sturm–Liouville theory is a fundamental concept in the field of differential equations and mathematical physics. It deals with a specific type of second-order linear differential equation known as the Sturm–Liouville problem. This theory has applications in various areas, including quantum mechanics, vibration analysis, and heat conduction.

Spectral asymmetry refers to the property of a spectral distribution where the spectrum (eigenvalue distribution or frequency spectrum) of a given operator or system does not exhibit symmetry around a particular point, typically zero. In many physical systems, particularly in quantum mechanics or systems described by linear operators, eigenvalues can be distributed symmetrically, meaning if \( \lambda \) is an eigenvalue, then \( -\lambda \) is also an eigenvalue.

Frederick Sumner Brackett (1860-1942) was an American scientist known for his contributions to the field of agronomy and plant physiology. He is particularly noted for his research on plant nutrition and soil chemistry, which helped enhance agricultural practices and improve crop yields. Brackett's work has influenced how scientists and farmers understand the relationship between soil properties and plant growth.

The Tropospheric Emission Spectrometer (TES) is an instrument designed to measure various atmospheric gases, including greenhouse gases, air pollutants, and other trace constituents in the troposphere, which is the lowest layer of Earth's atmosphere. Launched aboard the Aura satellite in July 2004 as part of NASA's Earth Observation System, TES uses infrared spectroscopy to analyze the composition of the atmosphere.