Tuesday, 19 May 2026

On This Day in Math - May 19

   

"Big Mac", the beautiful Mackinac Bridge



We [he and Halmos] share a philosophy about linear algebra: 
we think basis-free,
 we write basis-free,
but when the chips are down we close the office door
and compute with matrices like fury.

Irving Kaplansky honoring Paul Halmos


The 139th day of the year; 139 and 149 are the first consecutive primes differing by 10.
139 = 9*8+7*6+5*4+3*2-1 *Prime Curios

139 is the sum of five consecutive prime numbers( 19+ 23+ 29 +31+ 37)

139 is also a Happy number, if you square the digits and add, then continue to repeat with each result, you will eventually come to the number one.

139 ---- 91----- 82 ------ 68---- 100 ----- 1 

The happy numbers up to 100 are: 1, 7, 10, 13, 19, 23, 28, 31, 32,44, 49, 68, 70, 79, 82, 86, 91, 94, 97, 100,(The earliest I have ever found this term was in an article in The Arithmetic Teacher, Feb 1974. "Happiness is some Intriguing numbers" by Billie Earl Sparks of George Peabody College in Nashville, Tn.)

 Just found a slightly earlier paper, but it gives no information about origin: 

Happy Numbers
Daniel P. Wensing



EVENTS

1662 Samuel Pepys, Secretary of the Navy Board inspects the new Mint in the Tower of London, but will not be allowed to see the ultra secret "edging" machines that engraved an inscription into the edge of the coins to safeguard against the common practice of "clipping" that was common. It was one of the first "milled" currencies in the world.

The rumor that Newton was the originator of this idea is certainly false as he only became director of the mint in 1696.  The country was still in the process of recalling all unmilled coinage at that time, however.

The common meaning of "milling" often just means coins which are produced by some form of machine, rather than by manually hammering coin blanks between two dies (hammered coinage) or casting coins from dies.  Pressing ridges or writing around the edge is often called reeded.  The U S term is most often "grooved".

image:Milled edge of a German 2 euro coin, embossed with Germany's unofficial national motto "Einigkeit und Recht und Freiheit"  *Wik


 B J Pryor commented, "Queen Elizabeth I produced milled coins in the 1560s, and they are beautiful, but the technique was given up because it proved more expensive than doing it the old-fashioned way. A century later it was bought back. Here's a pretty good replica of a "milled" shilling of 1560 or so."  





1673 Leeuwenhoek's first letter to the Royal Society, is published in Philosophical Transactions number 94, "A Specimen of Some Observations Made by a Microscope, Contrived by M. Leewenhoeck in Holland, Lately Communicated by Dr. Regnerus de Graaf." Over the rest of his life, the Society would publish 116 articles containing excerpts from 113 letters. *lensonleeuwenhoek

The letter included his microscopic observations on mold, bees (stingers, eyes), and lice.




1803 Nicholas Fusss , Permanent Secretary of the St. Petersburg Academy of Sciences, writes to Carl Gauss to offer Gauss a position with a salary of 2400 rubles plus free lodgings and heat.  The title would be board counselor, equal to a colonel in the Army, and the old age pension of half salary after twenty years and full salary after thirty  years.His widow and children would also be paid a pension depending on his length of service.  Gauss had graciously refuse the offer on April 3, and Fuss seemed to be offering a chance to change his mind by reminding him of, "some of the advantages you have apparently renounced.."

Fuss was born in Basel, Switzerland. He moved to Saint Petersburg to serve as a mathematical assistant to Leonhard Euler from 1773–1783, and remained there until his death. From 1800–1826, Fuss served as the permanent secretary to the Imperial Academy of Sciences in Saint Petersburg.




1825 Faraday isolates benzine. In 1825, Faraday started work on a sample of oil that had been sent to him for analysis by the Portable Oil Company of London. He subjected this oil to fractional distillation, a process that proved to be extremely difficult, and it took him some time to resolve the oil into its pure components. By repeated fractional distillation followed by selective fractional freezing, each stage monitored by analysis, he produced a fairly pure sample of what he called bicarburet of hydrogen. Faraday’s notebook records these procedures, which he carried out on 18 and 19 May 1825. Auguste Laurent suggested the name benzene. *Jennifer Wilson, Celebrating Michael Faraday’s Discovery of Benzene, Ambix,Volume 59, Issue 3



1906, the Simplon Tunnel was officially opened as the world's longest railroad tunnel. Cutting through the Alps between Italy and Switzerland, it was officially opened by the King of Italy and the president of the Swiss Republic. The construction of the 12-mile Simplon Tunnel, one of the world's longest rail tunnels was undertaken in the 1890s by Alfred Brandt, head of a German engineering firm, and inventor of an efficient rock drill. The total length of the tunnel is 64,972 feet cut through the solid rock of the Simplon Mountain between the Rhone and the Diveria valley. As a direct route under the mountain, it considerably shortened the surface distance for an important European trade route between Brig, Switzerland and Iselle, Italy. *TIS

The work began on 22 November in 1898.





1910, the Earth passed through the tail of Halley's Comet, the most intimate contact between the Earth and any comet in recorded history. The event was anticipated with dire predictions. Since a few years earlier, astronomers had found the poisonous gas cyanogen in a comet, it was surmised that if Earth passed through the comet's tail everyone would die. Astronomers explained that the gas molecules within the tail were so tenuous that absolutely no ill effects would be noticed. Nevertheless, ignorance bred opportunists selling "comet pills" to the panicked portion of the public to counter the effects of the cyanogen gas. On 20 May, after Earth had passed through the tail, everyone was still alive - with or without taking pills! *TIS New York Times coverage is HALLEY’S COMET BRUSHES EARTH WITH ITS TAIL (banner headline of the newspaper); 350 American astronomers keep vigil; Reactions of fear and prayer repeated; All night services held in many churches; 1881 dire prophecies recalled by comet scare.  

*All That's Interesting



1979 In the Chicago Sun-Times W. F. Buckley wrote “The Rasmussen Report estimates there will be one melt down every 20,000 reactor-years, and one fatality (from cancer) every 50 reactor-years. Conjoin these data (20,000 divided by 50) and you get the figure of 400 deaths per year.” Quoted from the “Hows that again department,” AMM 90 (1983), p 220.*VFR


2006 Apple 'Cube' Shop Opens in Big Apple, NY City:
Apple Computer opened its second retail store in New York City. The 20,000-square foot store is situated in the underground concourse of the General Motors building at 767 Fifth Avenue. New Yorkers stood in line for hours in order to be among the first to enter. Open 24-hours a day, the shop is visible at street level through a 32-foot glass cube. It cost $9 million and was designed by Apple’s CEO Steve Jobs.*CHM


*Wik






BIRTHS

1682 Mei Juecheng (19 May 1681 in Xuangcheng, now Xuanzhou City, Anhui province, China - 20 Nov 1763 in China) published Chishui yizhen (Pearls recovered from the Red River). This contained the infinite series expansion for sin(x) which was discovered by James Gregory and Isaac Newton. In fact the Jesuit missionary Pierre Jartoux (1669-1720) (known in China as Du Demei) introduced the infinite series for the sine into China in 1701 and it was known there by the name 'formula of Master Du'.*SAU



1832 Edmond Bour (19 May 1832 in Gray, Haute-Saône, France - 9 March 1866 in Paris, France)Bour made many significant contributions to analysis, algebra, geometry and applied mechanics despite his early death from an incurable disease. His remarkable achievements were cut short at the age of 33 and as a consequence Bour is hardly known in the history of mathematics whereas one feels that if he had been given the chance to continue his outstanding work he would today be remembered as one of the major figures in the subject. *SAU




1862 Gino Benedetto Loria (19 May 1862 in Mantua, Italy -30 Jan 1954 in Genoa, Italy) In his day, Loria was arguably the pre-eminent historian of mathematics in Italy. A full professor of higher geometry at the University of Genoa beginning in 1891, Loria wrote the history of mathematics as a mathematician writing for other mathematicians. He emphasized this approach repeatedly in his works. For instance, in the introduction to his 'Storia delle matematiche dall'alba della civilità al tramonto del secolo XIX' (History of Mathematics from the Dawn of Civilisation to the End of the 19th Century), he stated that general history of mathematics was written "by a mathematician for mathematicians". *SAU



1865  Flora Philip (19 May 1865 – 14 August 1943) was a Scottish mathematician, one of the first women to receive a degree from the University of Edinburgh and the first female member of the Edinburgh Mathematical Society.

Philip attended at Tain Academy and then moved to Edinburgh in 1883 to continue her education. At the time, the law prevented women from studying at Scottish universities so she enrolled with the Edinburgh Association for the University Education of Women. In 1885 she was awarded the University of Edinburgh Certificate in Arts by University Principal Sir William Muir, for her studies in English literature, ethics, mathematics and physiology.

In 1889 the Universities (Scotland) Act was passed allowing women to be admitted to Scottish universities for the first time. Philip matriculated at the University of Edinburgh and received her degree for her previous studies. On 13 April 1893 she and seven other women graduated from the University, becoming the first women to do so. A report on the graduation ceremony noted "a large attendance of the general public, many of whom were doubtless draw thither to witness the spectacle, seen for the first time in the history of this university, of ladies taking their places (one lady with distinction) among the graduates

In 1943, the University of Edinburgh marked the fiftieth anniversary of that first group of women graduates, and three of eight attended the ceremony as honoured guests on the platform: Flora Philip, Maude Elizabeth Newbigin, Amelia Hutchison Stirling. Philip died later that year.





1918 Abraham Pais (19 May 1918 - 28 Jul 2000 at age 82) Dutch-American physicist and science historian whose research became the building blocks of the theory of elemental particles. He wrote Subtle Is the Lord: The Science and Life of Albert Einstein, which is considered the definitive Einstein biography. In Holland, his Ph.D. in physics was awarded on 9 Jul 1941, five days before a Nazi deadline banning Jews from receiving degrees. Later, during WW II, while in hiding to evade the Gestapo, he worked out ideas in quantum electrodynamics that he later shared when working with Niels Bohr (Jan - Aug 1946). In Sep 1946, he went to the U.S. to work with Robert Oppenheimer at Princeton, where Pais contributed to the foundations of the modern theory of particle physics. *TIS
"To make a discovery is not necessarily the same as to understand a discovery. "  His biography of Einstein is considered one of the finest science biographies written:






1919 Georgii Dmitrievic Suvorov (19 May 1919 in Saratov, Russia - 12 Oct 1984 in Donetske, Ukraine) Suvorov made major contributions to the theory of functions. He worked, in particular, on the theory of topological and metric mappings on 2-dimensional space. Another area on which Suvorov worked was the theory of conformal mappings and quasi-formal mappings. His results in this area, mostly from the late 1960s when he was at Donetsk, are of particular significance. He extended Lavrentev's results in this area, in particular Lavrentev's stability and differentiability theorems, to more general classes of transformations. One of the many innovations in Suvorov's work was new methods which he introduced to help in the understanding of metric properties of mappings with bounded Dirichlet integral. *SAU




1927 Serge Lang  (May 19, 1927 – September 12, 2005) was a French-born mathematician who spent most of his life in the USA. He is best-known for his outstanding undergraduate text-books.*SAU He was a member of the Bourbaki group. Lang was born in Paris in 1927, and moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High School. He subsequently graduated from the California Institute of Technology in 1946, and received a doctorate from Princeton University in 1951. He held faculty positions at the University of Chicago and Columbia University (from 1955, leaving in 1971 in a dispute). At the time of his death he was professor emeritus of mathematics at Yale University. *Wik
Lang's Algebra, a graduate-level introduction to abstract algebra, was a highly influential text that ran through numerous updated editions. His Steele prize citation stated, "Lang's Algebra changed the way graduate algebra is taught...It has affected all subsequent graduate-level algebra books." It contained ideas of his teacher, Artin; some of the most interesting passages in Algebraic Number Theory also reflect Artin's influence and ideas that might otherwise not have been published in that or any form.





1930 Rudolf Emil Kálmán (May 19, 1930 – July 2, 2016) is a Hungarian-American electrical engineer, mathematical system theorist, and college professor, who was educated in the United States, and has done most of his work there. He is currently a retired professor from three different institutes of technology and universities. He is most noted for his co-invention and development of the Kalman filter, a mathematical formulation that is widely used in control systems, avionics, and outer space manned and unmanned vehicles. For this work, U.S. President Barack Obama awarded Kálmán with the National Medal of Science on October 7, 2009. *Wik






1962 Richard Lawrence Taylor (born 19 May 1962) is a British mathematician working in the field of number theory. He is currently the Barbara Kimball Browning Professor in Humanities and Sciences at Stanford University.

Taylor received the 2002 Cole Prize, the 2007 Shaw Prize with Robert Langlands, and the 2015 Breakthrough Prize in Mathematics.One of the two papers containing the published proof of Fermat's Last Theorem is a joint work of Taylor and Andrew Wiles.

In subsequent work, Taylor (along with Michael Harris) proved the local Langlands conjectures for GL(n) over a number field. A simpler proof was suggested almost at the same time by Guy Henniart, and ten years later by Peter Scholze.

Taylor, together with Christophe Breuil, Brian Conrad and Fred Diamond, completed the proof of the Taniyama–Shimura conjecture, by performing quite heavy technical computations in the case of additive reduction.




DEATHS

804 Alcuin of York,(730s or 740s – 19 May 804) was an English scholar, ecclesiastic, poet and teacher from York, Northumbria. He was born around 735 and became the student of Archbishop Ecgbert at York. At the invitation of Charlemagne, he became a leading scholar and teacher at the Carolingian court, where he remained a figure in the 780s and 790s. He wrote many theological and dogmatic treatises, as well as a few grammatical works and a number of poems. He was made Abbot of Saint Martin's at Tours in 796, where he remained until his death. "The most learned man anywhere to be found" according to Einhard's Life of Charlemagne, he is considered among the most important architects of the Carolingian Renaissance. Among his pupils were many of the dominant intellectuals of the Carolingian era. *Wik 
 He was born in 735, the year Bede died. As minister of education under Charlemagne, he attempted to reorganize the educational system by popularizing the study of the seven liberal arts and encouraging the study of mathematics as an aid in determining the date of Easter. He wrote the first book of mathematical recreations, Propositiones ad acuendis juvenas (Problems for Sharpening the Minds of Youths), which contained 53 mathematical puzzles, including: A wolf, a goat, and a cabbage must be moved across a river in a boat holding only one besides the ferryman. How must he carry them across so that the goat shall not eat the cabbage, nor the wolf the goat? *VFR (Singmaster asserts this is the first example of a river-crossing problem)

My "Brief History of the River Crossing Problem" is here




1731 Francis Maseres (15 December 1731 – 19 May 1824) was an English lawyer. He is known as attorney general of the Province of Quebec, judge, mathematician, historian, member of the Royal Society, and cursitor baron of the exchequer. *Wik Maseres wrote many mathematical works which show a complete lack of creative ability. He rejected negative numbers and that part of algebra which is not arithmetic, despite writing 150 years after Viète and Harriot. It is probable that Maseres rejected all mathematics which he could not understand. *SAU




1881 Rev U Jessee Kniseley (March 14, 1838 - May 19, 1881) was born in New Philadelphia, Ohio March 14 1838 He was a self made man and in a very great measure self educated. The degree of MA was conferred on him by Marietta College and that of PhD by Wittenberg College in which latter institution he had formerly been a classical and theological student. He also attended Jefferson College Pa but was not a graduate of any college. He was chosen President and Professor of Mathematics of Luther College, an institution of ephemeral existence. Rev Dr Knisely was a Lutheran preacher of marked ability and great eloquence and for fourteen years previous to his death he was the loved pastor of the church of that denomination at Newcomerstown. He was a very fine mathematician and excelled especially in the solution of algebraic and geometrical problems The elegant solution of a Diophantine problem on pp 105 and 106 of the Mathematical Visitor Vol I No 4 and of the celebrated Malfatti's Problem pp 189 and 190 of No 6 are admirable samples of his superior skill in these departments of analysis. Rev Dr Knisely was also a master of language and the author of several works. Copies of his Parser's Manual and Arithmetical Questions for the Recreation of the Teacher and the Discipline of the Pupil are possessed by the writer. It is stated in the Tuscarawas Chroical from which the substance of a portion of this notice is taken that he was also author of Kniseley's Arithmetic and Mrs Knisely states that he had in preparation a work on the Carculus, but of these works the writer knows nothing. His last work was the revision of Ray's Higher Arithmetic and the Key which he completed but a short time before his death. He died May 19, 1881 at the age of 43 years 2 months and 5 days The disease that caused his death was a general prostration of the nervous system. *Artemas Martin, Mathematical Visitor January 1882


Aviation pioneers Ella and Percy Pilcher with their Hawk glider, Glasgow, 1896. Via Philip Jarrett.*Wik


1939 Ella Sophia Gertrude Pilcher (c. 1865, 19 May, 1939) was a pioneering British aviator, and the first woman in the Britain to fly in a glider. She co-created gliders with her younger brother, Percy Pilcher, in the 1890's. She was made an honorary member of the Royal Aeronautical Society (then called Aeronautical Society of Great Britain) in 1899 shortly after her brother died in a glider crash. He had a powered aeroplane completed and scheduled for exhibition only days afterward. In the period from 1896 to 1899 she was often pictured in photos with her brother, but seldom mentioned. One observer did include: "I hope I may be permitted to remark that Mr. Pilcher has been, fortunately, blessed with the possession of a sister, who not only acted as the presiding goddess of the tea-table on the present occasion, but actually made most of the wing surfaces with her own hands."


1942 Sir Joseph Larmor (11 July 1857 Magheragall, County Antrim, Ireland – 19 May 1942 Holywood, County Down, Northern Ireland) Irish physicist, the first to calculate the rate at which energy is radiated by an accelerated electron, and the first to explain the splitting of spectrum lines by a magnetic field. His theories were based on the belief that matter consists entirely of electric particles moving in the ether. His elaborate mathematical electrical theory of the late 1890s included the "electron" as a rotational strain (a sort of twist) in the ether. But Larmor's theory did not describe the electron as a part of the atom. Many physicists envisioned both material particles and electromagnetic forces as structures and strains in that hypothetical fluid. *TIS




1979 Ralph Duncan James (1909 Liverpool, England – 19 May 1979 Salt Spring Island, British Columbia, Canada) was an English and Canadian mathematician working on number theory and analysis. *Wik James contributed in a major way towards the development of mathematics in North America. He was Editor-in-Chief of the American Mathematical Monthly from 1957 to 1962. For many years he was on the Editorial Boards of the Canadian Journal of Mathematics and of the Pacific Journal of Mathematics. He also served as President of the Canadian Mathematical Society (then called the Canadian Mathematical Congress) from 1961 to 1963. In fact all the previous presidents had served terms of four years, but James felt that this was too long a period to hold the position so it was reduced to a two year term. He served two terms on the Council of the American Mathematical Society. *SAU






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

Monday, 18 May 2026

On This Day in Math - May 18

   




I've dealt with numbers all my life, of course, and after a while you begin to feel that each number has a personality of its own.  A twelve is very different from a thirteen, for example.  Twelve is upright, conscientious, intelligent, whereas thirteen is a loner, a shady character who won't think twice about breaking the law to get what he wants.  Eleven is tough, an outdoorsman who likes tramping through woods and scaling mountains; ten is rather simpleminded, a bland figure who always does what he's told; nine is deep and mystical, a Buddha of contemplation....

  ~Paul Auster, The Music of Chance

The 138th day of the  year; 138 is a sphenic number(the product of three primes from the Greek for "wedge shaped") and is the smallest product of 3 primes, such that in base 10, the third prime is a concatenation of the other two: (2)(3)(23)

138 is the sum of four consecutive primes (29 + 31 + 37 + 41),

138 is a palindrome in base 8 (212)

138 is a congruent number, it is the area of a right triangle with all sides rational.

and 138 can be written in palindromic expression, 138 = 19+2*7*2+91 *@AmbrigrammDesign. 

138 is an Ulam Number, a member of the sequence created by a sieve process by Stan Ulam in 1964.  It begins with the numbers 1, 2, and then each successive term is the smallest larger number that is the sum of two distinct numbers in the sequence, in a single way.  The first few numbers are 1, 2, 3, 4, 6, 8, 11,,, Five is missing because its sum can be created in two different ways, 2+3 or 1+4.

See more math facts at Math Day of the Year Facts



EVENTS
 

1618 Kepler, On how he discovered his Third law:
...and if you want the exact moment in time, it was conceived mentally on 8th March in this year one thousand six hundred an eighteen, but submitted to calculation in an unlucky way, and therefore rejected as false, and finally returning on the 15th of May and adopting a new line of attack, stormed the darkness of my mind. So strong was the support from the combination of my labor of seventeen years on the observations of Brahe and the present study, which conspired together, that at first I believed I was dreaming, and assuming my conclusion among my basic premises. But it is absolutely certain and exact that the proportion between the periodic times of any two planets is precisely the sesquialterate proportion of their mean distances ...
* Harmonice mundi (Linz, 1619) Book 5, Chapter 3, trans. Aiton, Duncan and Field, p. 411.

", as Kepler later recalled, on the 8th of March in the year 1618, something marvelous "appeared in my head". He suddenly realized that

III.  The proportion between the periodic times of any two planets is precisely one and a half times the proportion of the mean distances.

Presumably he used the word “proportion” here to signify the logarithm of the ratio, so he is asserting that log(T1/T2) = (3/2)log(r1/r2), where Tj are the periods and rj are the mean radii of the orbits of any two planets. In the form of a diagram, his insight looks like this:



 At first it may seem surprising that it took a mathematically insightful man like Kepler over twelve years of intensive study to notice this simple linear relationship between the logarithms of the orbital periods and radii. In modern data analysis the log-log plot is a standard format for analyzing physical data. However, we should remember that logarithmic scales had not yet been invented in 1605. A more interesting question is why, after twelve years of struggle, this way of viewing the data suddenly "appeared in his head" early in 1618. (Kepler made some errors in the calculations in March, and decided the data didn't fit, but two months later, on May 15 the idea "came into his head" again, and this time he got the computations right, and thought he was dreaming because the fit is so exact.)

Is it just coincidental that John Napier's "Mirifici Logarithmorum Canonis Descripto" (published in 1614) was first seen by Kepler towards the end of the year 1616? We know that Kepler was immediately enthusiastic about logarithms, which is not surprising, considering the masses of computation involved in preparing the Rudolphine Tables. Indeed, he even wrote a book of his own on the subject in 1621. It's also interesting that Kepler initially described his "Third Law" in terms of a 1.5 ratio of proportions, exactly as it would appear in a log-log plot, rather than in the more familiar terms of squared periods and cubed distances. It seems as if a purely mathematical invention, namely logarithms, whose intent was simply to ease the burden of manual arithmetical computations, may have led directly to the discovery/formulation of an important physical law, i.e., Kepler's third law of planetary motion. (Ironically, Kepler's academic mentor, Michael Maestlin, chided him − perhaps in jest? − for even taking an interest in logarithms, remarking that "it is not seemly for a professor of mathematics to be childishly pleased about any shortening of the calculations".) By the 18th of May, 1618, Kepler had fully grasped the logarithmic pattern in the planetary orbits: 'Now, because 18 months ago the first dawn, three months ago the broad daylight, but a very few days ago the full Sun of a most highly remarkable spectacle has risen, nothing holds me back.' "

*mathpages.com




1772 Euler shows that 

in paper to St. Petersburg Academy (dates in Russia at this time were still on Julian Calendar) 
This value, which Euler approximated to 16 decimal places, 1.2020569031595942, is named Apery'a constant after Roger Apéry, who proved in 1978 that it is irrational. No other odd Zeta(n) has been proven either rational or irrational. It is still not known if it is transcendental. *Wik
1787, Joseph-Louis Lagrange left Berlin to become a member of the Académie des Sciences in Paris, where he remained for the rest of his career. He had worked in Berlin for more than 20 years.   He made significant contributions to the fields of analysis, number theory, and both classical and celestial mechanics.




1825 Faraday isolates benzine. In 1825, Faraday started work on a sample of oil that had been sent to him for analysis by the Portable Oil Company of London. He subjected this oil to fractional distillation, a process that proved to be extremely difficult, and it took him some time to resolve the oil into its pure components. By repeated fractional distillation followed by selective fractional freezing, each stage monitored by analysis, he produced a fairly pure sample of what he called bicarburet of hydrogen. Faraday’s notebook records these procedures, which he carried out on 18 and 19 May 1825. Auguste Laurent suggested the name benzene. *Jennifer Wilson, Celebrating Michael Faraday’s Discovery of Benzene, Ambix,Volume 59, Issue 3




1852 Massachusetts becomes the first state to pass a compulsory attendance law for school children. *VFR

1896, the Supreme Court ruled separate-but-equal facilities constitutional on intrastate railroads. For some fifty years, the Plessy v. Ferguson decision upheld the principle of racial segregation. Across the country, laws mandated separate accommodations on buses and trains, and in hotels, theaters, and schools. 
In a speech delivered in the Ohio House of Representatives in 1886 and later published as The Black Laws, legislator Benjamin W. Arnett described life in segregated Ohio:

"This foe of my race stands at the school house door and separates the children, by reason of 'color,' and denies to those who have a visible admixture of African blood in them the blessings of a graded school and equal privileges... We call upon all friends of 'Equal Rights' to assist in this struggle to secure the blessings of untrammeled liberty for ourselves and posterity. " 
After hearing arguments by NAACP lawyer Thurgood Marshall, the Supreme Court overruled the Plessy decision on May 17, 1954. In Brown v. the Board of Education, a unanimous Court adopted Justice Harlan's position that segregation violated the Thirteenth and Fourteenth Amendments to the Constitution. *Library of  Congress 
Marshall (center), George Edward Chalmer Hayes, and James Nabrit congratulate one another after the Supreme Court's decision in Brown v. Board of Education.



 1901 Charles Sanders Peirce writes George A. Plimpton,  head of Ginn and Company and famous collector of rare mathematical books, describing what the contents of a newly acquired book must be were it indeed the great Liber Abaci (1202) of Fibonacci. In 1949 Carolyn Eisele’s discovery of this letter—still tucked into the back cover of the volume—began her career as a Peirce scholar. [HM 9, 335] *VFR (I have been advised by Adam Shapiro that Plimpton was not head of Ginn & Co until the death of Edwin Ginn in 1914.)
As a student at Columbia University, Eisele took a course in the history of mathematics from David Eugene Smith, but her professional contributions to the subject began in 1947, when she took a sabbatical to prepare for a course in the history of mathematics that she had been asked to teach at Hunter College. While working in the George Arthur Plimpton collection at the Columbia University library, she found the manuscript .
Caroline Eisele was an American mathematician and historian of mathematics.



 In 1910, Halley's Comet was visible from Earth, moving across the face of the sun. *TIS
1910 Halley's comet was big news during its visible period in New York City. Beginning with the Saturday edition of May 14 and continuing on through the Sunday edition of May 22, the comet was given top billing in the New York Times. This was the period when the comet was at the height of its brilliance and activity and the coverage clearly reflected this.
May 18: Earth to pass through come tail for 6 hours; C.B. Harmon invites college deans to join him in viewing comet from balloon. *Joseph M. Laufer, Halley's Comet Society - USA

Colonel Clifford B. Harmon, an early balloonist and aviator, established international trophies to be awarded annually to the world’s outstanding aviator, aviatrix, aeronaut (balloon or dirigible) and astronaut (added in 1969).

Today, the NAA continues to uphold the tradition by giving out the aeronaut (ballooning) trophy, awarded for the most outstanding international achievement in the art and/or science of aeronautics (ballooning) for the previous year.






1933 John Kieran’s Sports of the Times column in the New York Times is entitled “The Coordinate Clash, or Block that Abscissa.” The column was a humorous analogy between football and the upcoming mathematical contest between Harvard and Army. *VFR

It began with a poem called "A Logarithmic Lilt" which read:

"The Harvard horde is plotting, under cover of the dark, A fight to make the Crimson Chord subtend the Army arc. The Coefficient Corps has drilled with sharpened pencil tips And plans to drive the enemy away from the ellipse. The Harvard cry is 'Break the square and take the cube away!

While at the Point 'Abscissa' is the watchword of the day. And high upon the turret top the sentry turns his head And hears the Cambridge legion come with logarithmic tread. 'Advance and give the cosine!' rings the challenge through the air.

The Crimson host advances-and we hope the fight is fair." Later in the article, Kieran mentions the role of Lieutenant C. P. Nicholas, later head of the Mathematics Department, and Lieutenant Robinson as the Army coaches of the Analytics and Calculus, respectively. Other articles in newspapers continued the football analogy as their headlines read "Army Meets Harvard in Mathematical 'Go'," Squads at West Point Begin Contest in Calculus and Analytic Geometry," and "Harvard and West Point Line up on the Geometry Field."

This was the predecessor of the first national Putnam Competition was a mathematics contest between Harvard and the United States Military Academy from William Lowell Putnam's original idea for academic competition between schools in 1921.  For those who wonder, Army creamed Harvard in the Football game on Nov 5 the previous fall, 42-0; and also won the math contest by a much closer score 112-98.

The members of the West Point team were awarded certificates, medals, and mathematics books. They all wrote personal letters to Mrs. Putnam thanking her for supporting the competition and expressing enthusiasm for more contests. However, with Mr. Lowell's retirement from the position of President of Harvard in 1933 and Mrs. Putnam s fading health (she died in 1935), the Harvard-USMA competition was not repeated.

In 1927, Elizabeth Lowell Putnam (Putnam's wife, and Percivell Lowell's sister) had established the William Lowell Putnam Intercollegiate Memorial Fund in order to begin a college-level mathematics competition, the William Lowell Putnam Mathematical Competition. This contest, which continues to this day, began in 1935 under the direction of the Mathematical Association of America.
Elizabeth Lowell Putnam, reading with her sister, Amy:




1952 Prof. Willard F. Libby determined the age of Stonehenge on Salisbury Plain, England, at about 1848 BC (+/- 275 years) through analysis of the carbon-14 radioisotope in charcoal remains excavated there there. Update of C-14 ceases when plants or animals die, and the proportion in the organic remains steadily declines through radioactive decay. Since the half-life of C-14 is about 5,600 years, measurement of the remaining proportion in dead organic matter, indicates the age of that sample. Astronomer Sir Joseph Norman Lockyer had previously calculated that on Midsummer Day, 1680 BC, the sun rose directly over a special marking notch that can still be seen on the Heel Stone. Libby's measurements support that estimate. *TIS



1969, the Apollo 10 was launched to be a complete staging of the Apollo 11 mission without actually landing on the Moon. The mission was the second to orbit the Moon and the first to travel to the Moon with the entire Apollo spacecraft configuration. It made a successful eight-day dress rehearsal for the first manned moon landing. Astronauts Thomas Stafford and Eugene Cernan descended inside the Lunar Module to within 14 kilometers of the lunar surface (achieving the closest approach to the Moon before Apollo 11 landed two months later). Apollo 10 splashed down at 12:52 pm on 26 May, less than 4 miles (6.4 km) from the target point and the recovery ship
The crew poses with their launch vehicle; left to right, Cernan, Young, Stafford.




1993 A headline in the National Enquirer tabloid mocked the National Science Foundation for funding a study by Georgia Southern Professor Jonathon Copeland to study fireflies in Borneo. "Not a bright Idea." It quoted Wisconsin Republican representative (or mis-representative) as saying he didn't think it was a "bright" idea. Ironically, the same week that the article appeared, an article in Time reported that doctors were using luciferase, the light emitting enzyme of the butterfly, in testing drugs against resistant strains of tuberculosis.*Steven Strogatz, Sync




BIRTHS
1048 Omar Khayyam (18 May, 1048–1131)  (his birthdate is sometimes given as 15 May) Persian poet, mathematician, and astronomer. Khayyam, who was born at Nishapur (now in Iran), produced a work on algebra that was used as a textbook in Persia until this century. In geometry, he studied generalities of Euclid and contributed to the theory of parallel lines. Around 1074, he set up an observatory and led work on compiling astronomical tables, and also contributed to the reform of the Persian calendar. His contributions to other fields of science included developing methods for the accurate determination of specific gravity. He is known to English-speaking readers for his "quatrains" as The Rubáiyát of Omar Khayyám, published in 1859 by Edward Fitzgerald, though it is now regarded as an anthology of which little or nothing may be by Omar. *TIS 

"Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras are geometric facts which are proved by propositions five and six of Book two of Elements."
Omar Khayyam
Omar Khayyam's construction of a solution to the cubic x^3 + 2x = 2x^2 + 2. The intersection point produced by the circle and the hyperbola determine the desired segment.




1610 Stefano della Bella, an Italian artist and engraver, was born May 18, 1610. When della Bella was barely twenty-one years old, he was commissioned to design and etch the frontispiece to Galileo’s Dialogue on the Two Chief World Systems (1632). 




1711 Ruggero Giuseppe Boscovich Astronomer and mathematician who gave the first geometric procedure for determining the equator of a rotating planet from three observations of a surface feature and for computing the orbit of a planet from three observations of its position. Boscovich was one of the first in continental Europe to accept Newton's gravitational theories and he wrote 70 papers on optics, astronomy, gravitation, meteorology and trigonometry. Boscovich also showed much ability in dealing with practical problems. He suggested and directed the draining of the Pontine marshes near Rome, and recommended the use of iron bands to control the spread of cracks in the dome of St. Peter's basilica.*TIS  A slightly enlarged description of his life is here

The first page of figures from Theoria Philosophiæ Naturalis from 1763. Figure 1 is the force curve which received so much attention from later natural philosophers such as Joseph Priestley, Humphry Davy, and Michael Faraday. The ordinate is force, with positive values being repulsive, and the abscissa is radial distance. Newton's gravitational attractive force is clearly seen at the far right of figure 1.




1850 Oliver Heaviside (18 May 1850, 3 Feb 1925) English physicist who predicted the existence of the ionosphere. In 1870, he became a telegrapher, but increasing deafness forced him to retire in 1874. He then devoted himself to investigations of electricity. In 1902, Heaviside and Kennelly predicted that there should be an ionised layer in the upper atmosphere that would reflect radio waves. They pointed out that it would be useful for long distance communication, allowing radio signals to travel to distant parts of the earth by bouncing off the underside of this layer. The existence of the layer, now known as the Heaviside layer or the ionosphere, was demonstrated in the 1920s, when radio pulses were transmitted vertically upward and the returning pulses from the reflecting layer were received. *TIS He adapted complex numbers to the study of electrical circuits, invented mathematical techniques to the solution of differential equations (later found to be equivalent to Laplace transforms), reformulated Maxwell's field equations in terms of electric and magnetic forces and energy flux, and independently co-formulated vector analysis. Although at odds with the scientific establishment for most of his life, Heaviside changed the face of mathematics and science for years to come. Among many others, he coined the terms for admittance , conductance , impedance , permeability , and inductance. *Wik
Much later Heaviside was honored in a far more enduring fashion--he became a phrase in an Andrew Lloyd Webber musical. In the climax of Cats the Musical, Grizabella is chosen by Old Deuteronomy to ascend to cat paradise and be reborn, while the feline chorus sings: "Up, up, up, past the Russell Hotel; up, up, up, up to the Heaviside layer" . The Heaviside layer (NOT the Kennelly-Heaviside layer) became for Webber (and Cats) a metaphor for heaven. Linda Hall Org

My favorite Heaviside quote is "Why should I refuse a fine dinner just because I don't understand the digestive processes involved?"
For context on the quote, from Wikipedia: Between 1880 and 1887, Heaviside developed the operational calculus using 𝑝  for the differential operator, (which Boole had previously denoted by 𝐷), giving a method of solving differential equations by direct solution as algebraic equations. This later caused a great deal of controversy, owing to its lack of rigour. He famously said, "Mathematics is an experimental science, and definitions do not come first, but later on. They make themselves, when the nature of the subject has developed itself."  *HT Steve Palzewicz







1853  Albert Badoureau (May 18, 1853, July 20, 1923discovered 37 of the 75 non-prismatic uniform polyhedra in 1878. These were in addition to the 22 known at the time (5 Platonic solids, 13 Archimedean solids, and 4 Kepler-Poinsot polyhedra). He is also famed for his work in geology and for being the mathematical advisor to Jules Verne.
It was at the meetings of the Académie d'Amiens and the Société industrielle d'Amiens that Badoureau met Jules Verne. This resulted in Verne's book Sans dessus dessous Ⓣ (1889) being based on the scientific information supplied by Badoureau. The story involves firing a gigantic cannon to change the axis of rotation of the earth. Badoureau and Verne corresponded about the mathematical details, discussing the size of the cannon, the use of multiple cannons, the force required of the explosive to create the necessary velocity of the cannonball etc. In Verne's story, the mathematician J-T Maston, is distracted and confuses metres and kilometres in the value of the earth's radius with predictable results! We cannot help thinking how Verne anticipated how the Americans lost the Mars Climate Orbiter in September 1999 (at a loss of $125 million) because the Jet Propulsion Laboratory used metric units and Lockheed Martin Astronautics, who designed and built the spacecraft, used Imperial units. Returning to Sans dessus dessous Ⓣ we note that one of the main characters, Alcide Pierdeux, is a slightly fictionalised version of Badoureau himself. Badoureau seemed quite happy with this for often when writing to Verne he signed his letters "Alcide Pierdeux."*SAU



1859 Harry Fielding Reid (18 May 1859; 18 Jun 1944 at age 85) who introduced the term elastic rebound in a report (1910) on the 1906 San Francisco earthquake. His early career was as a glaciologist, but then the study of earthquakes became his most significant work. Reid was the first to establish that it is the fault that causes an earthquake, rather than a fault results from an earthquake. His elastic rebound theory, said that an earthquake occurs upon the sudden release of a large amount of stored energy after a long gradual accumulation of stress along a fault line. Later, modern science explained that Earth's surface consists of huge tectonic plates slowly moving relative to each other, and stress (elastic strain energy) gradually builds along their edges moving against each other. *TIS



1872 Bertrand Russell. 3rd Earl Russell, OM, FRS (18 May 1872 – 2 February 1970), was a British philosopher, logician, mathematician, historian, and social critic. At various points in his life, he imagined himself in turn a liberal, a socialist, and a pacifist, but he also admitted that he had never been any of these things, in any profound sense. He was born in Wales, into one of the most prominent aristocratic families in Britain.
Russell led the British "revolt against idealism" in the early 1900s. He is considered one of the founders of analytic philosophy along with his predecessor Gottlob Frege and his protégé Ludwig Wittgenstein, and is widely held to be one of the 20th century's premier logicians. He co-authored, with A. N. Whitehead, Principia Mathematica, an attempt to ground mathematics on logic. His philosophical essay "On Denoting" has been considered a "paradigm of philosophy." His work has had a considerable influence on logic, mathematics, set theory, linguistics, and philosophy, especially philosophy of language, epistemology, and metaphysics. *Wik  (on page 378 they are able to outline a proof for 1+1=2, but first they need to define the operation of addition.... then along comes  Kurt Godel)
I include here a quote from his autobiography that is often shortened so that, what I believe was the critical last part of it, is not told:
At the age of eleven, I began Euclid, with my brother as my tutor. This was one of the great events of my life, as dazzling as first love. I had not imagined that there was anything so delicious in the world. After I had learned the fifth proposition, my brother told me that it was generally considered difficult, but I had found no difficulty whatever. This was the first time it had dawned upon me that I might have some intelligence. From that moment until Whitehead and I finished Principia Mathematica, when I was thirty-eight, mathematics was my chief interest, and my chief source of happiness. Like all happiness, however, it was not unalloyed. I had been told that Euclid proved things, and was much disappointed that he started with axioms. At first I refused to accept them unless my brother could offer me some reason for doing so, but he said: 'If you don't accept them we cannot go on', and as I wished to go on, I reluctantly admitted them pro tem. The doubt as to the premisses of mathematics which I felt at that moment remained with me, and determined the course of my subsequent work.

 


1889 Thomas Midgley Jr. (May 18, 1889 – November 2, 1944) was an American mechanical and chemical engineer. He played a major role in developing leaded gasoline (tetraethyl lead) and some of the first chlorofluorocarbons (CFCs), better known in the United States by the brand name Freon; both products were later banned from common use due to their harmful impact on human health and the environment. He was granted more than 100 patents over the course of his career.[2]

Midgley contracted polio in 1940 and was left disabled; in 1944, he was found strangled to death by a device he devised to allow him to get out of bed unassisted. It was reported to the public that he had been accidentally killed by his own invention, but his death was privately declared a suicide.

His legacy is one of inventing the two chemicals that did the greatest environmental damage. Environmental historian J. R. McNeill stated that he "had more adverse impact on the atmosphere than any other single organism in Earth's history." Author Bill Bryson remarked that he possessed "an instinct for the regrettable that was almost uncanny." Science writer Fred Pearce described him as a "one-man environmental disaster". *Wik 



1901 Julius Adams Stratton (May 18, 1901 – June 22, 1994) was a U.S. electrical engineer and university administrator. He attended the University of Washington for one year, then transferred to the Massachusetts Institute of Technology (MIT), from which he graduated with a bachelor's degree in 1923 and a master's degree in electrical engineering (EE) in 1926. He then followed graduate studies in Europe and the Technische Hochschule of Zurich (ETH Zurich), Switzerland, awarded him the degree of Doctor of Science in 1927. *Wik He worked with the blind-landing research program during WWII to help develop Glide-slope-approach radar.  He served as the president of MIT between 1959 and 1966, after serving the university in several lesser posts, notably appointments to provost in 1949, vice president in 1951, and chancellor in 1956.



1939 Peter Andreas Grünberg (German pronunciation: [18 May 1939 – 7 April 2018) was a German physicist, and Nobel Prize in Physics laureate for his discovery with Albert Fert of giant magnetoresistance which brought about a breakthrough in gigabyte hard disk drives.
In 1986 he discovered the antiparallel exchange coupling between ferromagnetic layers separated by a thin non-ferromagnetic layer, and in 1988 he discovered the giant magnetoresistive effect (GMR). GMR was simultaneously and independently discovered by Albert Fert from the Université de Paris Sud. It has been used extensively in read heads of modern hard drives. Another application of the GMR effect is non-volatile, magnetic random access memory.

Apart from the Nobel Prize, work also has been rewarded with shared prizes in the APS International Prize for New Materials, the International Union of Pure and Applied Physics Magnetism Award, the Hewlett-Packard Europhysics Prize, the Wolf Prize in Physics and the 2007 Japan Prize. He won the German Future Prize for Technology and Innovation in 1998 and was named European Inventor of the Year in the category "Universities and research institutions" by the European Patent Office and European Commission in 2006.



1941 Malcolm Sim Longair (18 May 1941 - )Scottish astronomer, noted for his scholarship and teaching, who in 1980 was appointed by Royal Warrant Astronomer Royal for Scotland, a post he held until 31 Dec 1990. The title of Astronomer Royal for Scotland was created in 1834. As Jacksonian Professor of Natural Philosophy and head of Cavendish Laboratory at the University of Cambridge, UK, his research interests include the emission from dust in the distant universe, observational cosmology, galaxy formation, and gravitational lensing. He is the current Public Understanding of Physics Fellow of the Institute of Physics. *TIS



1944 James Greig Arthur CC FRSC FRS (born May 18, 1944) is a Canadian mathematician working on automorphic forms, and former President of the American Mathematical Society. He is a Mossman Chair and University Professor at the University of Toronto Department of Mathematics.Arthur taught at Yale from 1970 until 1976. He joined the faculty of Duke University in 1976. He has been a professor at the University of Toronto since 1978.  He was four times a visiting scholar at the Institute for Advanced Study between 1976 and 2002.
Arthur is known for the Arthur–Selberg trace formula, generalizing the Selberg trace formula from the rank-one case (due to Selberg himself) to general reductive groups, one of the most important tools for research on the Langlands program. He also introduced the Arthur conjectures.
Arthur was elected a Fellow of the Royal Society of Canada in 1981 and a Fellow of the Royal Society in 1992. In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin. He was elected a Foreign Honorary Member of the American Academy of Arts and Sciences in 2003. In 2012 he became a fellow of the American Mathematical Society. He was elected as a fellow of the Canadian Mathematical Society in 2019. *Wik




1946 Dame Celia Mary Hoyles, DBE, FAcSS, FIMA (née French; born 18 May 1946) is a British mathematician, educationalist and Professor of Mathematics Education at University College London (UCL), in the Institute of Education (IoE).
Hoyles began her career as a secondary school teacher, later becoming an academic. In the late 1980s she was co-presenter of Fun and Games, a prime time television quiz show about mathematics. With Arthur Bakker, Phillip Kent, and Richard B. Noss she is the co-author of Improving Mathematics at Work: The Need for Techno-Mathematical Literacies.

Hoyles served as president of the Institute of Mathematics and its Applications (IMA) from 2014 to 2015.[1 She served as chief adviser for mathematics to the government of the United Kingdom from 2004 to 2007 and as director of the National Centre for Excellence in the Teaching of Mathematics (NCETM) from 2007 to 2013.

In the 2004 New Year Honours, Hoyles was appointed Officer of the Order of the British Empire (OBE) 'for services to education'. In the 2014 New Year Honours, she was appointed Dame Commander of the Order of the British Empire (DBE) in recognition of her service as director of the National Centre for Excellence in the Teaching of Mathematics. She was elected a Fellow of the Academy of Social Sciences (FAcSS).

In 2003, she was awarded the first Hans Freudenthal Medal by the International Commission on Mathematical Instruction (ICMI) in recognition of 'the outstanding contribution that [she] has made to research in the domain of technology and mathematics education'. In 2010, she was awarded the first Kavli Education Medal by the Royal Society 'in recognition of her outstanding contribution to research in mathematics education'. *SAU






DEATHS


1924 Corrado Segre (20 August 1863 – 18 May 1924) was an Italian mathematician who is remembered today as a major contributor to the early development of algebraic geometry.
Segre developed his entire career at the University of Turin, first as a student of Enrico D'Ovidio. In 1883 he published a dissertation on quadrics in projective space and was named an assistant to professors in algebra and analytic geometry. In 1885 he also assisted in descriptive geometry. He began to instruct in projective geometry, as a stand-in for Giuseppe Bruno, from 1885 to 1888. Then for 36 years, he had the chair in higher geometry following D'Ovidio. Segre and Giuseppe Peano made Turin known in geometry, and their complementary instruction has been noted as follows:

"in the mid 1880s, these two very young researchers, Segre and Peano, both of them only just past twenty and both working at the University of Turin, were developing very advanced points of view on fundamental geometrical issues. Although their positions were quite different from one another, they were in some way more complementary than opposed. So it must come as no surprise that Turin was the cradle of some of the most interesting studies on such issues."

The Erlangen program of Felix Klein appealed early on to Segre, and he became a promulgator. First, in 1885 he published an article on conics in the plane where he demonstrated how group theory facilitated the study. 


1954 Selig Brodetsky ( 10 February 1888 – 18 May 1954) was a Russian-born English mathematician, a member of the World Zionist Executive, the president of the Board of Deputies of British Jews, and the second president of the Hebrew University of Jerusalem.
In 1908, he completed his studies with highest honours being Senior Wrangler, to the distress of the conservative press, which was forced to recognise that a son of immigrants surpassed all the local students. The Newton scholarship enabled him to study at Leipzig University where he was awarded a doctorate in 1913. His dissertation dealt with the gravitational field.
He became a lecturer at Bristol and later lecturer and professor at Leeds. He worked on fluid flow with particular emphasis on aerodynamics.




1965 Eduard Jan Dijksterhuis (28 October 1892 in Tilburg – 18 May 1965 in De Bilt) was a Dutch historian of science.

Dijksterhuis studied mathematics at the University of Groningen from 1911 to 1918. His Ph.d. thesis was entitled "A Contribution to the Knowledge of the Flat Helicoid."

From 1916 to 1953 he was a professor and taught mathematics, physics and cosmography. He advocated changes in the way mathematics was taught to reinforce its formal characteristics. In 1950, he was appointed as a German member of the Royal Netherlands Academy of Arts and Sciences.  In 1953, he was appointed to teach mathematics history and the nature of science at Utrecht University and in 1955 at Leiden University.

His first biography was on the life and work of Archimedes, published in Dutch in 1938. It was translated into English by C. Dikshoorn in 1956, published in Copenhagen by Munksgard. Princeton University Press republished it, with additional commentary, in 1987.

In 1943 he wrote on the life and times of Simon Stevin, again first in Dutch, which Dikshoorn translated for English publication in 1970.

Upon the completion of Huygens Collected Works in 1950, at the annual meeting of the Dutch Society of Sciences at Haarlem, Dijksterhuis spoke on the 60-year project. The text of his speech was published in Centaurus in March 1953, when he gave a "sketch of the position occupied by Huygens in the scientific life of the 17th century."




1996 Stefan Schwarz (18 May 1914 in Nové Mesto nad Váhom, Austria-Hungarian Empire (now Slovakia) - 6 Dec 1996 in Bratislava, Slovak Republic) In addition to his work on semigroups, number theory and finite fields, Schwarz contributed to the theory of non-negative and Boolean matrices.
Schwarz organised the first International Conference on Semigroups in 1968. At this conference setting up the journal Semigroup Forum was discussed and Schwarz became an editor from Volume 1 which appeared in 1970, continuing as editor until 1982. This was not his first editorial role since he had been an editor of the Czechoslovak Mathematical Journal from 1945 and continued to edit this journal until he was nearly 80 years old. He also founded the Mathematico-Physical Journal of the Slovak Academy of Sciences in 1950 and continued as an editor of the mathematics part of the journal when it split from the physics part to become Mathematica Slovaca until 1990. *SAU



2007 Pierre-Gilles de Gennes French physicist who was awarded the 1991 Nobel Prize for Physics for "discovering that methods developed for studying order phenomena in simple systems can be generalized to more complex forms of matter, in particular to liquid crystals and polymers." He described mathematically how, for example, magnetic dipoles, long molecules or molecule chains can under certain conditions form ordered states, and what happens when they pass from an ordered to a disordered state. Such changes of order occur when, for example, a heated magnet changes from a state in which all the small atomic magnets are lined up in parallel to a disordered state in which the magnets are randomly oriented. Recently, he has been concerned with the physical chemistry of adhesion. *TIS





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