The history of electric power transmission is a fascinating tale of technological innovation, engineering advancements, and changing societal needs. Here's an overview of its evolution: ### Early Developments (1800s) 1. **Experimentation with Electricity**: The study of electricity began in the late 18th century. Pioneers like Alessandro Volta developed the battery (1800), providing a stable source of direct current (DC).

In algebra, the absolute value of a number is a measure of its distance from zero on the number line, regardless of direction. The absolute value of a number is always non-negative. The absolute value is denoted by two vertical bars surrounding the number or expression. For example, the absolute value of \( x \) is written as \( |x| \).

Used in:

Samarium hexaboride (SmB6) is a compound composed of samarium, a rare-earth element, and boron. It crystallizes in a complex cubic structure and is noted for its notable electronic properties. SmB6 is particularly interesting to researchers because it exhibits behavior characteristic of a topological insulator. In its bulk form, SmB6 is an insulator at low temperatures, but it has metallic-like surface states that can conduct electricity.

UPd₂Al₃ is a chemical compound composed of uranium (U), palladium (Pd), and aluminum (Al). It belongs to a class of materials known as intermetallic compounds, which are characterized by the orderly arrangement of two or more different metal atoms in a crystalline structure. In UPd₂Al₃, the composition indicates that there are one uranium atom, two palladium atoms, and three aluminum atoms in the formula.

The Tesla coil, an electrical resonant transformer circuit, was invented by the Serbian-American inventor Nikola Tesla in 1891. Its development marked a significant breakthrough in electrical engineering and has since had lasting implications in various fields, including radio technology, wireless transmission, and even modern entertainment. ### Early Development 1. **Nikola Tesla (1856-1943)**: - Born in what is now Croatia, Tesla moved to the United States in 1884.

Wolfgang Krull is a prominent mathematician, particularly known for his contributions to the field of algebraic geometry and commutative algebra. His work has focused on the theory of rings, ideals, and algebraic structures. Among his notable contributions is the development of Krull dimension, a concept used to define the "size" of a ring in terms of the length of chains of prime ideals.

Surprisingly, it can also become a superfluid even though each atom is a fermion! This is because of Cooper pair formation, just like in superconductors, but the transition happens at lower temperatures than superfluid helium-4, which is a boson.

aps.org/publications/apsnews/202110/history.cfm: October 1972: Publication of Discovery of Superfluid Helium-3 contains comments on the seminal paper and a graph which we must steal.

Also sometimes called helium II, in contrast to helium I, which is the non-superfluid liquid helium phase.

Abstract algebra is a branch of mathematics that studies algebraic structures, which are sets equipped with operations that satisfy certain axioms. The main algebraic structures studied in abstract algebra include: 1. **Groups**: A group is a set equipped with a single binary operation that satisfies four properties: closure, associativity, the existence of an identity element, and the existence of inverses. Groups can be finite or infinite and are foundational in many areas of mathematics.

The history of the electric vehicle (EV) is a fascinating journey that spans more than a century, reflecting changes in technology, societal needs, and environmental awareness. Here’s an overview of key milestones in the development of electric vehicles: ### 19th Century Beginnings - **1830s**: The first known electric vehicles were developed in the early 1830s. Scottish inventor Robert Anderson created a crude electric carriage powered by non-rechargeable batteries.