Our passion for learning is our tool for survival.
Somewhere, something incredible is waiting to be known.
~Carl SaganThe 354th day of the year; 354 is the sum of the first four fourth powers
and is also the sum of three distinct primes. (
It is also the solution to one version of an unsolved recreational math problem called the Postage Stamp Problem, or sometimes Frobenius problem)
354 is the smallest number whose sum of its distinct prime factors is a cube, 2 + 3 + 59 = 64
Of all the Primes less than 10^10, the largest difference between two consecutive primes is 354. *Derek Orr
EVENTS1587 In Viviani's biography of Galileo he tells of how as a young student of 18 in 1581 Galileo made his first discovery about pendulums which would later lead to his design just before his death of a pendulum clock."one afternoon performing his devotions in the Cathedral of Pisa, and in full view of Maestro Possenti's beautiful bronze lamp which hung (and still hangs) from the roof of the nave. In order to light it more easily the attendant drew it towards him, and then let it swing back. Galileo at first observed this simple incident, as thousands of other worshipers had done before him and have done since, i.e. in a casual way, but quickly his attention became riveted to the swinging lamp. The oscillations, which were at first considerable became gradually less and less, but, notwithstanding, he could see that they were all performed in the same time, as he was able to prove by timing them with his pulse the only watch he possessed!"
It is a beautiful story of a brilliant young mind who would go on to greatness, but J. J. FAHIE in his biography of Galileo points out:"Whether this be only a pretty fable, like that of Newton and the apple, cannot now be decided, but it is, at least, certain that Possenti's lamp was not the one which Galileo observed, since it was not made until 1587, and was only hung in its present place on the 2Oth December in that year."
1623 Wilhelm Schickard, in a letter to Kepler, described his calculating machine. *Dauben, A Selective Bibliography, p. 251Only 3 documents about this machine have been found till now—two letters from Schickard to Kepler, and a sketch of the machine with instructions to the mechanician. I have also seen the date given as February 25th, 1624, which may be more accurate. *http://history-computer.com
On this day in 1703, Isaac Newton became president of the Royal Society, an office he held until his death. He was knighted in 1705 by Queen Anne, the first scientist to be so honoured for his work. However the last portion of his life was not an easy one, dominated in many ways with the controversy with Leibniz over which of them had invented the calculus.
History suggests that Newton made substantial efforts to erase the figure of his great rival, Hooke. What is certain is that this rivalry continued until the death of Hooke in 1703, upon which the last obstacle to Newton’s appointment as president of the Royal Society on November 30 of that same year disappeared. Newton then fulfilled his promise not to publish his corpuscular theory of light (which had provoked the first quarrel between them) until Hooke had died: he did so a year later, in the book Opticks (1704).
According to scientific legend, Newton also sent for the only portrait of Hooke and ordered it destroyed; another version states that he left it intentionally forgotten when the Royal Society moved to another building.
1883 On the night before J J Sylvester's departure from Johns Hopkins his friends hosted a gala in his honor at Hopkins Hall.
In 1900, Michel Giacobini in France discovered a comet, which was rediscovered by a German, Ernst Zinner, on 23 Oct 1913, and since named the Giacobini-Zinner comet. It returns to the vicinity of the earth every six and two-thirds years. This comet became the first to be visited by a spacecraft. On 11 Sep 1985, the International Cometary Explorer (ICE) flew through its gas tail, 7,800-km downstream from the nucleus, at a speed of 21 km/sec. The nucleus was estimated to be 2.5-km across at its widest diameter. Instruments detected carbon monosulfide and hydroxyl molecules in the comet. The comet is the progenitor of the Draconid meteor shower, visible annually in early October, which produced intense meteor displays in 1933 and 1946.*TIS The most recent was on shower peaked on Oct 8, 2011.The comet in 2018 near perihelion
1906 Nature publishes a letter from Francis Galton on "Cutting a round cake on scientific principles." A Numberphile video by Alex Bellos explaining the
method is here.
In 1907, the first U.S. scientist to receive the Nobel Prize was Albert Michelson, a German-born ( actually born in Strzelno, Provinz Posen in the Kingdom of Prussia which is now part of Poland) American physicist who received the Nobel Prize for Physics "for his optical precision instruments and the spectroscopic and metrological investigations." He designed the highly accurate Michelson interferometer and used it to accurately measure the speed of light and establish it as a fundamental constant. With Edward Morley, he also used it in an attempt to measure the velocity of the earth through the ether (1887), yielding null results that eventually led Einstein to his theory of relativity. He measured the standard meter bar in Paris to be 1,553,163.5 wavelengths of the red cadmium line (1892-3) *TIS
Page one of Michelson's Experimental Determination of the Velocity of Light
1910 New Zealand born physicist Ernest Rutherford made his seminal gold foil experiment which led to first insight about the nature of the inner structure of the atom and to the postulation of Rutherford's concept of the "nucleus. He had already received the 1908 Nobel Prize in Chemistry for demonstrating that radioactivity was the spontaneous disintegration of atoms. *YovistaErnest Rutherford at McGill, 1905
1943 Norman Bel Geddes to Designs ASSC Machine Cover:
Thomas Watson Jr. informs Harvard University President James B. Conant that Norman Bel Geddes would be designing the cover of the Harvard Mark I computer. Bel Geddes was an American industrial designer who also worked on such things as Philco radio cabinets and a Graham Page car. He was deeply interested in the future, illustrating a book in 1932 that described, among other things, a huge passenger airplane with public lounges and an exercise center. Bel Geddes also designed the GM pavilion at the 1939 World's Fair.*CHM
1949 N. J. Woodland and Bernard Silver filed a patent application for "Classifying Apparatus and Method", in which they described both the linear and bullseye printing patterns, as well as the mechanical and electronic systems needed to read the code. The patent was issued on 7 October 1952 as US Patent 2,612,994. In 1951, Woodland moved to IBM and continually tried to interest IBM in developing the system. The company eventually commissioned a report on the idea, which concluded that it was both feasible and interesting, but that processing the resulting information would require equipment that was some time off in the future.
In 1952 Philco purchased their patent, and then sold it to RCA the same year.*WikBetter known today as Barcodes, the invention was based on Morse code that was extended to thin and thick bars. However, it took over twenty years before this invention became commercially successful.
In 1951, at 1:50 p.m., the first electricity ever generated by atomic power began flowing from the EBR-1 turbine generator when Walter Zinn and his Argonne National Laboratory staff of scientists brought EBR-1 to criticality (a controlled, self-sustaining chain reaction) with a core about the size of a football. The reactor was started up and the power gradually increased over several hours. The next day, Experimental Breeder Reactor-1 generated enough electricity to supply all the power for its own building. Additional power and core experiments were then conducted until its decommissioning in Dec 1963. Construction began in 1949, between Idaho Falls and Arco, Idaho. Today, EBR-1 is a Registered National Historic Landmark.*TISt was declared a National Historic Landmark in 1965 with its dedication ceremony held on August 25, 1966, led by President Lyndon Johnson and Glenn T. Seaborg. It was also declared an IEEE Milestone in 2004.
BIRTHS
1494 Oronce Fine (20 Dec 1494 in Briançon, France
- 8 Aug 1555 in Paris, France) was a French mathematician who published a major work on mathematics and astronomy. Before being awarded his medical degree, Fine had edited mathematics and astronomy books for a Paris printer. Among the texts which he edited were Peurbach's Theoricae Novae Planetarum, which presented Ptolemy's epicycle theory of the planets, and Sacrobosco's Tractatus de Sphaera, a book on astronomy in four chapters. The first book which Fine authored himself was published in 1526 and it was on the equatorium, an instrument which Fine was very interested in and which he worked on throughout his life, writing four further texts about it. The instrument can be used to determine the positions of the planets.*SAUFine's heart-shaped (cordiform) map projection of 1531 was frequently employed by other cartographers, including Peter Apian and Gerardus Mercator. *Wik
De mundi sphaera, sive Cosmographia (1542) frontispiece that Fine designed, which shows a large armillary-like world system in the center, and Fine himself at bottom right, receiving instructions from Urania, the muse of Astronomy.
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| *Linda Hall Org |
1648 Thommaso Ceva (20 Dec 1648; 3 Feb 1737) Italian mathematician, poet, and brother of the mathematician Giovanni Ceva. At the age of fifteen he entered the Society of Jesus. His education was entirely within the Jesuit Order and he obtained a degree in theology. His first scientific work, De natura gravium (1669), dealt with physical subjects, such as gravity and free fall, in a philosophical way. Tommaso Ceva's mathematical work is summed up in Opuscula Mathematica (1699) which examines geometry (geometric-harmonic means, the cycloid, and conic sections), gravity and arithmetic. He also designed an instrument to divide a right angle into a given number of equal parts. He gave the greater part of his time to writing Latin prose. His poem Jesus Puer was translated into many languages. *TISPrompted by the familiar "insertion" method of Archimedes, Ceva devised in 1699 a curve for trisection which was called the "Cycloidum anomalarum". The principle involved is that of doubling angles.
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1838 Edwin Abbott Abbott (20 Dec 1838, 12 Oct 1926) His most famous work was Flatland: a romance of many dimensions (1884) which Abbott wrote under the pseudonym of A Square. The book has seen many editions, the sixth edition of 1953 being reprinted by Princeton University Press in 1991 with an introduction by Thomas Banchoff. Flatland is an account of the adventures of A Square in Lineland and Spaceland. In it Abbott tries to popularise the notion of multidimensional geometry but the book is also a clever satire on the social, moral, and religious values of the period.
More recently, in 2002, an annotated version of Flatland has been produced with an introduction and notes by Ian Stewart who gives extensive discussion of mathematical topics related to passages in Abbott's text. *SAU
The Kindle edition of Flatland is available for less than $2.00
Flatland: A Romance of Many Dimensions [Illustrated]
and the Stewart version is only a little more:
In a bold statement of personal opinion I add: This book should be read by every teacher and every student of mathematics.
1843 Paul Tannery (20 Dec 1843 in Mantes-la-Jolie, Yvelines, France - 27 Nov 1904 in Pantin, Seine-St Denis, France) His main contributions were to the history of Greek mathematics and to the philosophy of mathematics. He published a history of Greek science in 1887, a history of Greek geometry in the same year, and a history of ancient astronomy in 1893.
Tannery did work of great importance as an editor of famous mathematics texts. He edited the work of Fermat in three volumes (jointly with C Henry) between 1891 and 1896. In addition he edited the work of Diophantus in two volumes (1893-95). He was an editor of the twelve volume complete works of Descartes Oeuvres de Descartes (1897-1913).
Tannery became so skilled in using Greek numerals in his historical work that he believed that they had certain advantages over our present system. *SAU
1875 Francesco Cantelli (20 Dec 1875 in Palermo, Sicily, Italy
- 21 July 1966 in Rome, Italy)Cantelli's work in astronomy involved statistical analysis of data and his interests turned more towards the statistical style of mathematics and to applications of probability to astronomy and other areas. In particular he became interested in actuarial and social applications of probability theory. In 1903 took a job as an actuary at the Istituti di Previdenza where he undertook research into probability theory publishing some important papers, some which we mention below. He founded the Istituto Italiano degli Attuari for the applications of mathematics and probability to economics. He edited the journal of the Institute Giornale dell'Istituto Italiano degli Attuari from 1930 to 1958 during which time it became one of the leading journals in its field. *SAU
1876 Walter (Sydney) Adams (20 Dec 1876; 11 May 1956) was an American astronomer who is best known for his spectroscopic studies of sunspots, the rotation of the Sun, the velocities and distances of thousands of stars, and planetary atmospheres. He found (with Arnold Kohlschütter) that the relative intensities of stellar spectral lines depend on the absolute luminosities of the star, which in turn provides a spectroscopic method of determining stellar distances.By this method, he measured distances to hundreds of giant and main sequence stars. In 1925, Walter S Adams identified Sirius B as the first white dwarf star known, and his measurement of its gravitational redshift was confirming evidence for the general theory of relativity. He was director of Mount Wilson (1923-46).*TIS
In a letter dated 10 August 1844, the German astronomer Friedrich Wilhelm Bessel deduced from changes in the proper motion of Sirius that it had an unseen companion. On 31 January 1862, American telescope-maker and astronomer Alvan Graham Clark first observed the faint companion, which is now called Sirius B, or affectionately "the Pup".
Hubble Space Telescope image of Sirius A and Sirius B. The white dwarf can be seen to the lower left. The diffraction spikes and concentric rings are instrumental effects.
1901 Robert Jemison Van de Graaff (20 Dec 1901; 16 Jan 1967) American physicist and inventor of the Van de Graaff generator, a type of high-voltage electrostatic generator that can be used as a particle accelerator in atomic research. The potential differences achieved in modern Van de Graaff generators can be up to 5 MV. It is a principle of electric fields that charges on a surface can leap off at points where the curvature is great, that is, where the radius is small. Thus, a dome of great radius will inhibit the electric discharge and added charge can reach a high voltage. This generator has been used in medical (such as high-energy X-ray production) and industrial applications (sterilization of food). In the 1950s, Van de Graaff invented the insulating core transformer able to produce high voltage direct current.*TIS
Small Van de Graaff generator used in science education
DEATHS
1836 Johann Christian Martin Bartels (12 August 1769 – 7/20 December 1836) was a German mathematician. He was the tutor of Carl Friedrich Gauss in Brunswick and the educator of Lobachevsky at the University of Kazan.*Wik
1891 George Bassett Clark (14 Feb 1827, 20 Dec 1891) Elder son in the American family of telescope makers and astronomers, Alvan Clark & Sons of Cambridge, Mass., who figured importantly in the great expansion of astronomical facilities which occurred during the second half of the 19th century. Before the family business began, George made a telescope in 1844 out of the melted-down brass of his school's broken dinner bell. His father, Alvan Clark, was at the time an established portrait painter, but his son's interest also spurred his father to begin making refractor telescopes. (Refractor telescopes use paired lenses to focus light.) The father taught himself to be a master optician, and eventually in business with his sons made the finest refractor telescopes of their time including five of the world's largest.*TIS
Alvan Clark & Sons made the 36-inch (910 mm) objective lens for the Lick Observatory refractor, shown here in an 1889 drawing. The telescope was designed and built by the Warner & Swasey Company
1962 Emil Artin (3 Mar 1898; 20 Dec 1962 at age 64) Austro-German mathematician who worked in algebraic number theory, made a major contribution to field theory, and stated a law of reciprocity which included all previously known laws of reciprocity (1927). He also worked on the theory of braids (1925), and on rings with the minimum condition on right ideals, now called Artinian rings (1944). Artin has the distinction of solving (1927) one of the famous 23 problems previously posed by Hilbert in 1900. With his Jewish wife, he left Nazi Germany in 1937, and worked at universities in the U.S. until 1956, when he returned to his home country. *TIS He solved Hilbert’s seventeenth problem in 1927. *VFR (Can a multivariate polynomial that only has non-negative values over the reals be represented as a sum of squares of rational functions? Artin proved it could, An algorithm to do so was found by Charles Delzell.)
1984 Max Deuring (9 December 1907, Göttingen, Germany – 20 December 1984, Göttingen, Germany) was a mathematician. He is known for his work in arithmetic geometry, in particular on elliptic curves in characteristic p. He worked also in analytic number theory.
Deuring graduated from the University of Göttingen in 1930, then began working with Emmy Noether, who noted his mathematical acumen even as an undergraduate. When she was forced to leave Germany in 1933, she urged that the university offer her position to Deuring. In 1935 he published a report entitled Algebren ("Algebras"), which established his notability in the world of mathematics. He went on to serve as Ordinarius at Marburg and Hamburg, then took a position as ordentlicher Lehrstuhl at Göttingen, where he remained until his retirement.*Wik
1988 Elizabeth Scott (November 23, 1917 – December 20, 1988) was an American mathematician specializing in statistics.
Scott was born in Fort Sill, Oklahoma. Her family moved to Berkeley, California when she was 4 years old. She attended the University of California, Berkeley where she studied mathematics and astronomy. There were few options for further study in astronomy, as the field was largely closed to women at the time, so she completed her graduate studies in mathematics. She received her Ph.D. in 1949, and received a permanent position in the Department of Mathematics at Berkeley in 1951.
She wrote over 30 papers on astronomy and 30 on weather modification research analysis, incorporating and expanding the use of statistical analyses in these fields. She also used statistics to promote equal opportunities and equal pay for female academics.
In 1957 Elizabeth Scott noted a bias in the observation of galaxy clusters. She noticed that for an observer to find a very distant cluster, it must contain brighter than normal galaxies and must also contain a large number of galaxies. She proposed a correction formula to adjust for (what came to be known as) the "Scott effect".
The Committee of Presidents of Statistical Societies awards a prize in her honour to female statisticians.*Wik
1993 W(illiam) Edwards Deming (14 Oct 1900, 20 Dec 1993) was an American statistician, the father of "Total Quality Management." After WW II, he contributed to Japan's economic recovery by recommending statistical methods of quality control in industrial production. His method embraced carefully tallying product defects, examining their causes, correcting the problems, and then tracking the results of these changes on subsequent product quality. In his career before the war, he had developed statistical sampling techniques that were first used in the 1940 U.S. census. From the 1980's in the U.S. Deming continued to teach quality control through the statistical control of manufacturing processes for companies such as Ford, Xerox, and GM.*TIS
Deming declined to receive royalties from the transcripts of his 1950 lectures, so JUSE's (Union of Japanese Scientists and Engineers) board of directors established the Deming Prize (December 1950) to repay him for his friendship and kindness.[20] Within Japan, the Deming Prize continues to exert considerable influence on the disciplines of quality control and quality management. Wik
1996 Carl Edward Sagan 9 Nov 1934, 20 Dec 1996) U.S. astronomer and exobiologist and writer of popular science books. His studies were far-ranging. He coauthored a scientific paper about the dangers of nuclear winter. He researched the atmosphere of Venus, seasonal changes on Mars, surface conditions on planets, and created popular interest in the universe with his television series Cosmos. Sagan was a leading figure in the search for extraterrestrial intelligence. He urged the scientific community to listen with large radio telescopes for signals from intelligent extraterrestrial lifeforms. Sagan also played a prominent role in the U.S. space program, with his involvement in the Mariner, Viking, and Voyager spacecraft expeditions. *TIS (
and may I remind you all, in Carl's honor, that "we are all star-stuff."
2002 Grote Reber (22 Dec 1911, 20 Dec 2002) U.S. amateur astronomer and radio engineer who self-financed and built the first radio telescope. He pioneered the new field of radio astronomy, and was the first to systematically study the sky by observing non-visible radiation. After reading about Jansky's discovery (1932) of natural radio emissions from space, Reber constructed a 9-meter dish antenna in his backyard and built three different detectors before finding 160 MHz signals (1939). In 1940 and 1944 he published articles titled Cosmic Static in the Astrophysical Journal. He was the first to express received radio signals in terms of flux density and brightness, first to find evidence that galactic radiation is non-thermal, and first to produce radio maps of the sky (1941).*TIS
Reber's radio telescope was considerably more advanced than Jansky's, and consisted of a parabolic sheet metal dish 9 meters in diameter, focusing to a radio receiver 8 meters above the dish. The entire assembly was mounted on a tilting stand, allowing it to be pointed in various directions, though not turned.
Reber sold his telescope to the National Bureau of Standards, and it was erected on a turntable at their field station in Sterling, Virginia. Eventually the telescope made its way to the National Radio Astronomy Observatory in Green Bank, West Virginia,[11] and Reber supervised its reconstruction at that site. Reber also helped with a reconstruction of Jansky's original telescope.
2005 Raoul Bott,(September 24, 1923 – December 20, 2005) was a Hungarian mathematician known for numerous basic contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem. *Wik
In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by Raoul Bott (1957, 1959), which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres. Bott periodicity can be formulated in numerous ways, with the periodicity in question always appearing as a period-2 phenomenon, with respect to dimension, for the theory associated to the unitary group.
Credits :
*CHM=Computer History Museum
*FFF=Kane, Famous First Facts
*NSEC= NASA Solar Eclipse Calendar
*RMAT= The Renaissance Mathematicus, Thony Christie
*SAU=St Andrews Univ. Math History
*TIA = Today in Astronomy
*TIS= Today in Science History
*VFR = V Frederick Rickey, USMA
*Wik = Wikipedia
*WM = Women of Mathematics, Grinstein & Campbell
