Transistor and is ubiquitous in modern electronic systems. Julius Edgar Lilienfeld patented a field-effect transistor in 1926 but it was not possible to actually construct a working device at that time. The first practically implemented device was a point-contact transistor invented 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.
Nobel Prize controversies stated, should be given "to the person who shall have made the most important 'discovery' or 'invention' within the field of physics". Awards committees have historically rewarded discoveries over inventions: 77% of Nobel Prizes in physics have been given to discoveries, compared with only 23% to inventions. In addition, the scientific prizes typically reward contributions over an entire career rather than a single year. No Nobel Prize was established for mathematics and many other scientific and cultural fields. An early theory that jealousy led Nobel to omit a prize to mathematician Gösta Mittag-Leffler was refuted because of timing inaccuracies. Another