Problem: The concept of a group arose from the study of polynomial equations, starting with Evariste Galois in the 1830s. After contributions from other fields such as number theory and geometry, the group notion was generalized and firmly established around 1870. Modern group theoryan active mathematical disciplinestudies groups in their own right.a["] To explore groups, mathematicians have devised various notions to break groups into smaller, better-understandable pieces, such as subgroups, quotient groups and simple groups. In addition to their abstract properties, group theorists also study the different ways in which a group can be expressed concretely (its group representations), both from a theoretical and a computational point of view. A theory has been developed for finite groups, which culminated with the classification of finite simple groups announced in 1983.aa["] Since the mid-1980s, geometric group theory, which studies finitely generated groups as geometric objects, has become a particularly active area in group theory.
Where did the idea of a group come from?
The answer is the following: the study of polynomial equations,

Problem: Murdoch found he had such a rapport with Larry Lamb over lunch that other potential recruits as editor were not interviewed and Lamb was appointed as the first editor of the new Sun. He was scathing in his opinion of the Mirror, where he had recently been employed as a senior sub-editor, and shared Murdoch's view that a paper's quality was best measured by its sales, and he regarded the Mirror as overstaffed, and primarily aimed at an ageing readership. Lamb hastily recruited a staff of about 125 reporters, who were mostly selected for their availability rather than their ability.
What position did Lamb formerly hold at the Mirror?
The answer is the following: senior sub-editor

Problem: USB 2.0 High-Speed Inter-Chip (HSIC) is a chip-to-chip variant of USB 2.0 that eliminates the conventional analog transceivers found in normal USB. It was adopted as a standard by the USB Implementers Forum in 2007. The HSIC physical layer uses about 50% less power and 75% less board area compared to traditional USB 2.0. HSIC uses two signals at 1.2 V and has a throughput of 480 Mbit/s. Maximum PCB trace length for HSIC is 10 cm. It does not have low enough latency to support RAM memory sharing between two chips.
What does USB 2.0 High-Speed Inter-Chip eliminate?
The answer is the following: the conventional analog transceivers found in normal USB

Problem: At the end of 1831, Chopin received the first major endorsement from an outstanding contemporary when Robert Schumann, reviewing the Op. 2 Variations in the Allgemeine musikalische Zeitung (his first published article on music), declared: "Hats off, gentlemen! A genius." On 26 February 1832 Chopin gave a debut Paris concert at the Salle Pleyel which drew universal admiration. The critic Francois-Joseph Fetis wrote in the Revue et gazette musicale: "Here is a young man who ... taking no model, has found, if not a complete renewal of piano music, ... an abundance of original ideas of a kind to be found nowhere else ..." After this concert, Chopin realized that his essentially intimate keyboard technique was not optimal for large concert spaces. Later that year he was introduced to the wealthy Rothschild banking family, whose patronage also opened doors for him to other private salons (social gatherings of the aristocracy and artistic and literary elite). By the end of 1832 Chopin had established himself among the Parisian musical elite, and had earned the respect of his peers such as Hiller, Liszt, and Berlioz. He no longer depended financially upon his father, and in the winter of 1832 he began earning a handsome income from publishing his works and teaching piano to affluent students from all over Europe. This freed him from the strains of public concert-giving, which he disliked.
Who did Frederic rely upon financially before earning a great income from his works?
The answer is the following:
his father