Context and question: The Great Exhibition was organised by Prince Albert, Henry Cole, Francis Fuller and other members of the Royal Society for the Encouragement of Arts, Manufactures and Commerce. The Great Exhibition made a surplus of 186,000 used in creating an area in the South of Kensington celebrating the encouragement of the arts, industry, and science. Albert insisted the Great Exhibition surplus should be used as a home for culture and education for everyone. His commitment was to find practical solutions to today's social challenges. Prince Albert's vision built the Victoria and Albert Museum, Science Museum, Natural History Museum, Geological Museum, Royal College of Science, Royal College of Art, Royal School of Mines, Royal School of Music, Royal College of Organists, Royal School of Needlework, Royal Geographical Society, Institute of Recorded Sound, Royal Horticultural Gardens, Royal Albert Hall and the Imperial Institute. Royal colleges and the Imperial Institute merged to form what is now Imperial College London.
What did the Royal colleges and Imperial Institute form when they merged?
Answer: Imperial College London
Context and question: The transistor is the fundamental building block of modern electronic devices, and is ubiquitous in modern electronic systems. First conceived by Julius Lilienfeld in 1926 and practically implemented in 1947 by American physicists John Bardeen, Walter Brattain, and William Shockley, the transistor revolutionized the field of electronics, and paved the way for smaller and cheaper radios, calculators, and computers, among other things. The transistor is on the list of IEEE milestones in electronics, and Bardeen, Brattain, and Shockley shared the 1956 Nobel Prize in Physics for their achievement.
Why were transistors in 1947 easier to practically implement than transistors in 1926?
Answer: unanswerable
Context and question: Sub- and quotient groups are related in the following way: a subset H of G can be seen as an injective map H G, i.e. any element of the target has at most one element that maps to it. The counterpart to injective maps are surjective maps (every element of the target is mapped onto), such as the canonical map G G / N.y["] Interpreting subgroup and quotients in light of these homomorphisms emphasizes the structural concept inherent to these definitions alluded to in the introduction. In general, homomorphisms are neither injective nor surjective. Kernel and image of group homomorphisms and the first isomorphism theorem address this phenomenon.
What is an example of a surjective map?
Answer:
canonical map