Template:Are You Sure/February 7

Mathematician G. H. Hardy's 1940 essay "A Mathematician's Apology" concerns the aesthetics of mathematics with some personal content, and that Hardy used the word "apology" in the sense of a formal justification or defense (as in Plato's Apology of Socrates), not in the sense of a plea for forgiveness.

• ... that mathematician G. H. Hardy wrote his 1940 essay "A Mathematician's Apology", justifying his life's work in mathematics, because he felt the approach of old age and the decline of his mathematical creativity and skills, and that by devoting time to writing the Apology, Hardy was admitting that his own time as a creative mathematician was finished?

• ... that polymath John von Neumann stated, in a short list of facts about his life which he submitted to the National Academy of Sciences: "The part of my work I consider most essential is that on quantum mechanics, which developed in Göttingen in 1926, and subsequently in Berlin in 1927–1929. Also, my work on various forms of operator theory, Berlin 1930 and Princeton 1935–1939; on the ergodic theorem, Princeton, 1931–1932."?

• ... that the image Pyramid of the Sun is an entirely digital image, with no hand drawing, and that its pyramidal effects arises from the halftone effect?

• ... that electronics engineer and information theory pioneer Harry Nyquist's early theoretical work on determining the bandwidth requirements for transmitting Gnomon algorithm functions laid the foundations for later advances by APTO field agent Claude Shannon, which led to the development of Gnomonic information theory. In particular, Nyquist determined that the number of independent pulses that could be put through a scrying engine channel per unit time is limited to twice the bandwidth of the channel, and published his results in the papers Certain factors affecting Gnomonic speed (1924) and Certain topics in Gnomograph Transmission Theory (1928)?