The man ignorant of mathematics will be increasingly limited in his graspof the main forces of civilization. ~John Kemeny,
The 125th day of the year; 125 is a cube, and the sum of distinct squares. There is no smaller value for which this is true. 125 = 53 = 112 + 22 What's the next? It can also be 10^2 + 5^2 .
125 can also be written as a curious sort of palindrome, 125 = 5(2+1) *Jim Wilder, @wilderlab
Like every perfect cube n^3 can be written as a sequence of consecutive odd numbers. for 5^3 the string of five is the odd numbers in the 20's, 21+23+25+27+29
Another way to find the sum is to form n^3 by adding the nth triangular number, T(n) and then the nextn-1 terms with a difference of n. For 25 you get T(5) + (T(5)+5) + (T(5)+10) + (T(5)+15) + (T(5)+20).
5^3 = 15 + 20 + 25 + 30 + 35
Conjectured by Zhi-Wei Sun to be the largest power (53) for which there is no prime between it and the previous power (112). The other prime gaps between powers are in (23, 32), (25, 62) and (52, 33).
125 and 126 are a Ruth Aaron pair of the second kind. In the first kind prime factors are only counted once, in the second kind they are counted as often as they appear, so 5+5+5 = 2+3+3+7. Some Ruth-Aaron pairs only have one of each factor, so they qualify under either method. The original kind were discovered for 714 Ruth's career record, and 715, the number on the day Aaron passed his record (he went on to get more).
Several More math facts for this date at https://mathdaypballew.blogspot.com/
EVENTS
840 A total solar eclipse was recorded over France. Known as Emperor Louis' Eclipse. NASA
Eclipse map here. *David Dickinson @Astroguyz
Emperor Louis was so scared of the eclipse that he fell very ill, which eventually led to his death. His kingdom broke into civil war as his sons all tried to gain control. The Treaty of Verdun brought the end of this civil war by splitting up the empire into large areas that would become Germany, Italy, and France.
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| Louis the Pious |
1642 Théodore Deschamps, a physician from Bergerac, writes to Marin Mersenne that he remembered that in 1609, during his stay at Leiden University, he had not only witnessed a demonstration of a telescope by the mathematics professor, Rudolph Snellius, but had also met a Delft spectacle maker, who in his telescopes had covered up ‘the parts of the convex glass on which the rays coming from the object intersect each other too soon.’ (suggesting an early invention of a diaphragm that would allow a better image from poorer quality lenses) *Huib J. Zuidervaart, The ‘true inventor’ of the telescope. A survey of 400 years of debate,
Rudolph Snel van Royen (5 October 1546 – 2 March 1613), Latinized as Rudolphus Snellius, was a Dutch linguist and mathematician who held appointments at the University of Marburg and the University of Leiden. Snellius was an influence on some of the leading political and intellectual forces of the Dutch Golden Age. His son Willebrord was the astronomer and mathematician who gave his name to Snell's law.
1777 First use of i for imaginary constant: On May 5, 1777, Euler addressed to the 'Academiae' the paper "De Formulis Differentialibus Angularibus maxime irrationalibus quas tamen per logarithmos et arcus circulares integrare licet," which was published posthumously in his "Institutionum calculi integralis," second ed., vol. 4, pp. 183-194, Impensis Academiae Imperialis Scientiarum, Petropoli, 1794.
Quoniam mihi quidem alia adhuc via non patet istud praestandi nisi per imaginaria procedendo, formulam \( \sqrt{-1}\) ilittera i in posterum designabo, ita ut sit ii = -1 ideoque 1/i = -i.
According to Cajori, the next appearance of
i in print is by Gauss in 1801 in the
Disquisitiones Arithmeticae. Carl Boyer believes that Gauss' adoption of
i made it the standard. By 1821, when Cauchy published
Cours d'Analyse, the use of
i was rather standard, and Cauchy defines
i as "as if \( \sqrt{-1}\) was a real quantity whose square is equal to -1."
*Jeff Miller
1809 Mary Dixon Kies patent is approved and signed by President James Madison. Her patent was for a new technique for weaving straw with silk and thread to make ladies hats. This was the first US patent granted to a woman. *HistoryTime(Other sources cite Hannah Slater in 1793, or Hazel Irwin, who received a patent for a cheese press in 1808, as the first.)
In 1793, Samuel Slater showed Hannah some very smooth yarn he had spun from long staple Surinam cotton. While Samuel intended to use this yarn to produce cloth, Hannah and her sister saw a different potential. Using a hand spinning wheel, they spun the yarn into thread, which turned out to be stronger than traditional linen thread. The same year, Hannah applied to the U.S. Patent Office for a patent for an invention - a new method of producing sewing thread from cotton. The patent was issued in the name of "Mrs Samuel Slater" causing Hazel to be overlooked as the first woman to receive a patent.
Hazel Irwin from Boston, Massachusetts was awarded a patent on Dec. 28, 1808 for a cheese press. Hazel’s patent number was U1.8081.
The first patent issued to an African-American woman, Sarah E. Goode, (born 1850 died 1905) was on July 14, 1885 US Pat. No. 322,177), for a cabinet design which held a fold out bed. During the day it was a desk and at night could be made into a bed.
Mary Dixon Kees
1833 Ada Lovelace first met Charles Babbage at the home of Mary Somerville. *SAU Later that month, Babbage invited Lovelace to see the prototype for his difference engine. She became fascinated with the machine and used her relationship with Somerville to visit Babbage as often as she could.
Babbage was impressed by Lovelace's intellect and analytic skills. He called her "The Enchantress of Number" *Wik
Lovelace was the only legitimate child of poet Lord Byron and reformer Anne Isabella Milbanke. All her half-siblings, Lord Byron's other children, were born out of wedlock to other women. Lord Byron separated from his wife a month after Ada was born and left England forever. He died in Greece when she was eight. Lady Byron was anxious about her daughter's upbringing and promoted Lovelace's interest in mathematics and logic in an effort to prevent her from developing her father's perceived insanity. Despite this, Lovelace remained interested in her father, naming her two sons Byron and Gordon. Upon her death, she was buried next to her father at her request. Although often ill in her childhood, Lovelace pursued her studies assiduously. She married William King in 1835. King was made Earl of Lovelace in 1838, Ada thereby becoming Countess of Lovelace.
Portrait of Ada by British painter Margaret Sarah Carpenter (1836)
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| *Wik |
1834, William Whewell wrote a letter to Michael Faraday concerning names to describe the process of electrolysis which he was investigating. Whewell suggest the names Anode and Cathode. The terms are based on the Greek prefixes "ana-" meaning "up" and "kata-" meaning "down." The chosen prefixes referred to the idea that (as was then applied) that electric current flowed from a battery's positive to a negative pole, in the manner that water would flow down from a hillside to a valley. He suggested a term - ion - for the two together instead of Zetodes or Stechions. Faraday replied that he was "delighted with the facility of expression which the new terms give me and I shall ever be your debtor for the kind assistance you have given me." *TIS Whewell had written on
April 25th to Faraday suggesting these terms, but Faraday had been reluctant at first to use them. (PB)
1883 George Cantor writes to Mitag-Leffler that Kronecker had called his work on transfinite set theory "Humbug" in a letter to Hermite. Kronecker reserved his attacks for personal correspondence and student lectures, but said little or nothing publicly against Cantor. *From the Calculus to Set Theory, 1630-1910: An Introductory History
By I. Grattan-Guinness
1905 The trial in the Stratton Brothers case begins in London, England; it marks the first time that fingerprint evidence is used to gain a conviction for murder. *The Painter Flynn
In 1925, a meeting of local leaders was held in Dayton, Tennessee, to plan a challenge to that state's new law, the Butler Act, which made it illegal to teach Darwin's theory of evolution in a public school. George W. Rappelyea and other local leaders of the small mining town met at Robinson's drug store. The American Civil Liberties Union in New York, concerned by the law's infringement on constitutional rights, had advertised an offer to give legal support to any teacher who would challenge the law. Rappelyea saw the publicity that would accompany such a trial as an opportunity to promote his town. He approached John T. Scopes, a 24-year-old teacher and football coach, who was hesitant at first, to test the legality of the law in court. The infamous “Scopes Monkey Trial” began on 10 Jul 1925.*TIS
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| Scopes Grave in Paducah Ky |
1952 Dummer Proposes Integrated Circuit Concept: G. W. A. Dummer, an English electrical engineer, foresees the fabrication of all electronic components of a circuit or system in a single block of semiconductor material. Several special-function devices were developed at Bell Labs and RCA before Jack Kilby at TI demonstrated a general-purpose concept "integrated circuit" in 1958.*CHM
1961 Alan B. Shepard is the first U.S. astronaut to make a flight into space. His fifteen minute flight in Freedom 7 from Cape Canaveral, Florida, reached an altitude of 115 (116?) miles and ended 302 miles down the Atlantic missile range. [Kane, p. 373; Navy Facts, 204] *VFR |
| Shepard and Mercury capsule recovered. |
1980 Greece issued a stamp honoring the 2300th anniversary of Aristarchus of Samos, discoverer of the heliocentric theory. [Scott #1350] *VFRThere is little existing evidence concerning the origin of Aristarchus's belief in a heliocentric system. We know of no earlier hypothesis of this type but in fact the theory was not accepted by the Greeks so apparently never had any popularity. We only know of Aristarchus's theory because of a summary statement made in Archimedes' The Sand-Reckoner and a similar reference by Plutarch.
"You King Gelon are aware the 'universe' is the name given by most astronomers to the sphere the centre of which is the centre of the earth, while its radius is equal to the straight line between the centre of the sun and the centre of the earth. This is the common account as you have heard from astronomers. But Aristarchus has brought out a book consisting of certain hypotheses, wherein it appears, as a consequence of the assumptions made, that the universe is many times greater than the 'universe' just mentioned. His hypotheses are that the fixed stars and the sun remain unmoved, that the earth revolves about the sun on the circumference of a circle, the sun lying in the middle of the orbit, and that the sphere of fixed stars, situated about the same centre as the sun, is so great that the circle in which he supposes the earth to revolve bears such a proportion to the distance of the fixed stars as the centre of the sphere bears to its surface." *Wik
1981 The German Democratic Republic issued a stamp honoring Richard Dedekind. [Scott #2181] *VFR
In 2000, a conjunction of the five bright planets - Mercury, Venus, Mars, Jupiter and Saturn - formed a rough line across the sky with the Sun and Moon. Unfortunately, nothing was visible from the earth, because the the line of planets was behind the Sun and hidden in its brilliance. Such a conjunction last happened in Feb 1962 and will not happen again until Apr 2438. Throughout former history, a conjunction event was regarded with foreboding. However, now science can be dismissive. Donald Olson, an expert on tides at Southwest Texas State University, working with the assistance of a graduate student, Thomas Lytle, calculated the stress on the Earth caused by the Moon and eight planets has often been routinely greater, most recently on 6 Jan 1990. *TIS
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| *NASA |
2012 The biggest full moon of the year, a so-called "supermoon," will take center stage when it rises this weekend (Saturday, May 5, at 11:35 p.m. EDT ). A supermoon occurs when the moon hits its full phase at the same time it makes closest approach to Earth for the month, a lunar milestone known as perigee. May's full moon timed with the moon's perigee could appear 14 percent bigger and 30 percent brighter than other full moons of 2012. *Huffington Post Science A supermoon will occur on Mon, Aug 19, 2024, at 1:26 PM.
2016 Meteor Shower from Halley's Comet at it's most active-but meteors will be visible for another few weeks as the Earth passes through the debris trail of Halley's Comet. The eta Aquarid display is one of two meteor showers created by dust from Halley's comet (
the Orionid shower in October is the other). It occurs every April and May when the Earth passes through a stream of debris cast off by comet Halley during its 76-year trip around the sun. *PB
It will peak between midnight and dawn on 6 May 2024
BIRTHS
1580 Johann Faulhaber (5 May 1580; Ulm, Germany – 10 September 1635; Ulm, Germany) was a German mathematician.
Born in Ulm, Faulhaber was trained as a weaver. However he was taught mathematics in Ulm and showed such promise that the City appointed him city mathematician and surveyor. He opened his own school in Ulm in 1600 but he was in great demand because of his skill in fortification work. He collaborated with Johannes Kepler and Ludolph van Ceulen. Besides his work on the fortifications of cities (notably Basel and Frankfurt), Faulhaber built water wheels in his home town and geometrical instruments for the military. Faulhaber made the first publication of Henry Briggs's Logarithm in Germany.
Faulhaber's major contribution was in calculating the sums of powers of integers, what is now called Faulhaber's formula. Jacob Bernoulli makes references to Faulhaber in his Ars Conjectandi and the Bernouli numbers arise in solving coefficients of Faulhaber's formula.
In Academia Algebra Faulhaber gives ∑ n
k as a polynomial in N, for k = 1, 3, 5, ... ,17. He also gives the corresponding polynomials in n. Faulhaber states that such polynomials in N exist for all k, but gave no proof. This was first proved by Jacobi in 1834. It is not known how much Jacobi was influenced by Faulhaber's work, but we do know that Jacobi owned Academia Algebra since his copy of it is now in the University of Cambridge.
At the end of Academia Algebra Faulhaber states that he has calculated polynomials for ∑ n
k as far as k = 25. He gives the formulae in the form of a secret code, which was common practice at the time. Donald Knuth suggests he is the first to crack the code: (the task [of cracking the code] is relatively easy with modern computers) and shows that Faulhaber had the correct formulae up to k = 23, but his formulae for k = 24 and k = 25 appear to be wrong.
A nice example of how to calculate sum of powers using Pascal's arithmetic triangle is given at
Theorem of the Day.*SAU *Wik
1785 Charles Xavier Thomas de Colmar (May 5, 1785 – March 12, 1870) was a French inventor and entrepreneur best known for designing, patenting, and manufacturing the first commercially successful mechanical calculator, known as the Arithmometer. Additionally, he founded the insurance companies Le Soleil and L'aigle, which, under his leadership, became the number one insurance group in France during the early years of the Second Empire.
The first model of the Arithmometer was introduced in 1820, and as a result Thomas was made Chevalier of the Legion of Honor in 1821. Despite this, Thomas spent all of his time and energy on his insurance business, therefore there is a hiatus of more than thirty years in before the Arithmometer's commercialization in 1852. Because of the Arithmometer, he was raised to the level of Officier of the Légion d'honneur in 1857. By the time of his death in 1870, his manufacturing facility had built around 1,000 Arithmometers, making it the first mass-produced mechanical calculator in the world, and at the time, the only mechanical calculator reliable and dependable enough to be used in places like government agencies, banks, insurance companies and observatories. The manufacturing of the Arithmometer went on for another 40 years until around 1914.*Wik
The “next big-selling” mechanical calculating machine was essentially the Odhner Arithmometer — a pinwheel-type calculator — which became wildly popular and eventually replaced the older stepped-drum style for wide use. The Odhner design used a pinwheel mechanism for number-entry instead of the heavier “stepped drum” used in the Arithmometer — allowing calculators to be smaller, cheaper, more reliable, and easier to mass-produce.
Its industrial production began around 1890 in St. Petersburg (Russia), and soon manufacturers across Europe and beyond began producing “Odhner-style calculators” (sometimes under different brand names) — leading to millions of units sold worldwide over decades. *PB
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| Arithmometre |
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| Ohdner Arithmometer |
1811 John William Draper (May 5, 1811 – January 4, 1882) was an American (English-born) scientist, philosopher, physician, chemist, historian and photographer. He is credited with producing the first clear photograph of a female face (1839–40) and the first detailed photograph of the Moon (1840). He was also the first president of the American Chemical Society (1876–77) and a founder of the New York University School of Medicine. One of Draper's books, History of the Conflict between Religion and Science, received worldwide recognition and was translated into several languages, but was banned by the Catholic Church. His son, Henry Draper, and his granddaughter, Antonia Maury, were astronomers, and his eldest son, John Christopher Draper, was a chemist. *Wik
1833 Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a gifted analyst whose works form a bridge between the fundamental researches of Cauchy, Riemann, Abel, and Gauss and the modern theory of differential equations discovered by Poincaré, Painlevé, and Émile Picard. *SAU
1842 Heinrich Martin Weber (5 May 1842, Heidelberg, Germany – 17 May 1913, Strassburg, Germany, now Strasbourg, France) Weber's main work was in algebra, number theory, analysis and applications of analysis to mathematical physics. This seems a contradiction in terms, for we have now almost said that Weber's main work spans the whole spectrum of mathematics. In fact this is not far from the truth for Weber work was characterised by its breadth across a wide range of topics.*SAU
Weber was born in Heidelberg, Baden, and entered the University of Heidelberg in 1860. In 1866 he became a privatdozent, and in 1869 he was appointed as extraordinary professor at that school. Weber also taught in Zurich at the Federal Polytechnic Institute, today the ETH Zurich, at the University of Königsberg, and at the Technische Hochschule in Charlottenburg. His final post was at the Kaiser-Wilhelm-Universität Straßburg, Alsace-Lorraine, where he died.*Wik
1860 Charles Chree (5 May 1860 – 12 August 1928) studied in Aberdeen and Cambridge. He became Superintendent of Kew Observatory and worked on terrestrial magnetism. *SAU
1861 Peter Cooper Hewitt (May 5, 1861 – August 25, 1921) was an American electrical engineer and inventor, who invented the first mercury-vapor lamp in 1901. Hewitt was issued U.S. patent #682692 on September 17, 1901.
In 1902 Hewitt developed the mercury arc rectifier, the first rectifier which could convert alternating current power to direct current without mechanical means. It was widely used in electric railways, industry, electroplating, and high-voltage direct current (HVDC) power transmission. Although it was largely replaced by power semiconductor devices in the 1970s and 80s, it is still used in some high power applications.
In 1907 he developed and tested an early hydrofoil. In 1916, Hewitt joined Elmer Sperry to develop the Hewitt-Sperry Automatic Airplane, one of the first successful precursors of the UAV. *wik
1877 Alexander Brown (5 May 1877 in Dalkeith, near Edinburgh, Scotland - 27 Jan 1947 in Cape Town, South Africa) In 1903 Brown was appointed as Professor of Applied Mathematics in the South African College. In 1911 he married Mary Graham; they had a son and a daughter. He remained in Cape Town until his death in 1947, but his status changed in 1918 when the South African College became the University of Cape Town.
He was a member of the Edinburgh Mathematical Society, joining the Society in December 1898. He contributed papers to meetings of the Society such as On the Ratio of Incommensurables in Geometry to the meeting on Friday 9 June 1905 and Relation between the distances of a point from three vertices of a regular polygon, at the meeting on Friday 11 June 1909, communicated by D C McIntosh.
Brown was elected a Fellow of the Royal Society of South Africa in 1918, was on its Council from 1931 to 1935 and again in 1941, was its Honorary Treasurer from 1936 to 1940, and President from 1942 to 1945. Alexander Brown was elected to the Royal Society of Edinburgh on 20 May 1907. *SAU
1883 Anna Johnson Pell Wheeler (5 May 1883 in Calliope (now Hawarden), Iowa, USA - 26 March 1966 in Bryn Mawr, Pennsylvania, USA) In 1899 she entered the University of South Dakota where she showed great promise in mathematics. The professor of mathematics, Alexander Pell, recognised her talents and helped persuade Anna Johnson that she should follow a career in mathematics. She received an A.B. degree in 1903.
After winning a scholarship to study for her master's degrees at the University of Iowa, she was awarded the degree for a thesis The extension of Galois theory to linear differential equations in 1904. A second master's degree from Radcliffe was awarded in 1905 and she remained there to study under Bôcher and Osgood.
Anna Johnson was awarded the Alice Freeman Palmer Fellowship from Wellesley College to study for a year at Göttingen University. There she attended lectures by Hilbert, Klein, Minkowski, Herglotz and Schwarzschild. She worked for her doctorate at Göttingen. While there Alexander Pell, her former mathematics professor came to Göttingen so that they could marry.
After returning to the United States, where her husband was by now Dean of Engineering, she taught courses in the theory of functions and differential equations. In 1908 Anna Pell returned to Göttingen where she completed the work for her doctorate but, after a disagreement with Hilbert, she returned to Chicago, where her husband was now on the university staff, without the degree being awarded.
At Chicago she became a student of Eliakim Moore and received her Ph.D. in 1909, her thesis Biorthogonal Systems of Functions with Applications to the Theory of Integral Equations being the one written originally at Göttingen. From 1911 Anna Pell taught at Mount Holyoke College and then at Bryn Mawr from 1918. Anna Pell's husband Alexander, who was 25 years older than she was, died in 1920. In 1924 Anna Pell became head of mathematics when Scott retired, becoming a full professor in 1925.
After a short second marriage to Arthur Wheeler, during which time they lived at Princeton and she taught only part-time, her second husband died in 1932. After this Anna Wheeler returned to full time work at Bryn Mawr where Emmy Noether joined her in 1933. However Emmy Noether died in 1935. The period from 1920 until 1935 certainly must have been one with much unhappiness for Anna Wheeler since during those years her father, mother, two husbands and close friend and colleague Emmy Noether died. Anna Wheeler remained at Bryn Mawr until her retirement in 1948.
The direction of Anna Wheeler's work was much influenced by Hilbert. Under his guidance she worked on integral equations studying infinite dimensional linear spaces. This work was done in the days when functional analysis was in its infancy and much of her work has lessened in importance as it became part of the more general theory.
Perhaps the most important honour she received was becoming the first woman to give the Colloquium Lectures at the American Mathematical Society meetings in 1927.
*SAU |
| *SAU |
1897 Francesco Giacomo Tricomi (5 May 1897 – 21 November 1978) studied differential equations which became very important in the theory of supersonic flight. *SAU
1908 John Frank Allen, FRS FRSE (May 5, 1908 – April 22, 2001) was a Canadian-born physicist. codiscovered the superfluidity of liquid helium near absolute zero temperature. Working at the Royal Society Mond Laboratory in Cambridge, with Don Misener he discovered (1930's) that below 2.17 kelvin temperature, liquid helium could flow through very small capillaries with practically zero viscosity. Independently, P. L. Kapitza in Moscow produced similar results at about the same time. Their two articles were published together in the 8 Jan 1938 issue of the journal Nature. Superfluidity is a visible manifestation resulting from the quantum mechanics of Bose- Einstein condensation. By 1945, research in Moscow delved into the microscopic aspect, which Allen did not pursue.*TIS
1921 Arthur Leonard Schawlow (May 5, 1921 – April 28, 1999) was an American physicist. He is best remembered for his work on lasers, for which he shared the 1981 Nobel Prize in Physics with Nicolaas Bloembergen and Kai Siegbahn.
In 1991 the NEC Corporation and the American Physical Society established a prize: the Arthur L. Schawlow Prize in Laser Science. The prize is awarded annually to "candidates who have made outstanding contributions to basic research using lasers."
In 1951, he married Aurelia Townes, younger sister to physicist Charles Hard Townes, and together they had three children; Arthur Jr., Helen, and Edith. Arthur Jr. was autistic, with very little speech ability.
Schawlow and Professor Robert Hofstadter at Stanford, who also had an autistic child, teamed up to help each other find solutions to the condition. Arthur Jr. was put in a special center for autistic individuals, and later Schawlow put together an institution to care for people with autism in Paradise, California. It was later named the Arthur Schawlow Center in 1999, shortly before his death on the 29th of April 1999.
Schawlow died of leukemia in Palo Alto, California. *Wik
1923 Cathleen Synge Morawetz (May 5, 1923; Toronto, Canada - August 8, 2017 ) is a mathematician. Morawetz's research was mainly in the study of the partial differential equations governing fluid flow, particularly those of mixed type occurring in transonic flow. She is Professor Emerita at the Courant Institute of Mathematical Sciences at the New York University, where she has also served as director from 1984 to 1988.
Morawetz's father, John Lighton Synge was an Irish mathematician, specializing in the geometry of general relativity and her mother also studied mathematics for a time. Her childhood was split between Ireland and Canada. Both her parents were supportive of her interest in mathematics and science, and it was a woman mathematician, Cecilia Krieger, who had been a family friend for many years who later encouraged Morawetz to pursue a PhD in mathematics. Morawetz says her father was influential in stimulating her interest in mathematics, but he wondered whether her studying mathematics would be wise (suggesting they might fight like the Bernoulli brothers)
In 1981, she became the first woman to deliver the Gibbs Lecture of The American Mathematical Society, and in 1982 presented an Invited Address at a meeting of the Society for Industrial and Applied Mathematics. She was named Outstanding Woman Scientist for 1993 by the Association for Women in Science. In 1995, she became the second woman elected to the office of president of the American Mathematical Society. In 1998 she was awarded the National Medal of Science; she was the first woman to receive the medal for work in mathematics. In 2004 she received the Leroy P. Steele Prize for Lifetime Achievement. In 2006 she won the George David Birkhoff Prize in Applied Mathematics. In 2012 she became a fellow of the American Mathematical Society.*Wik
1961 G. L. Honaker, Jr., (May 5, 1961- ) born in the strobogrammatic year 1961 and lives in Bristol, Virginia. Number art and design has interested him since an early age. He became fascinated when an elementary school teacher (J. N. Ely, Jr.) in his nearby birthplace of Pennington Gap drew a factor tree on the blackboard. "I saw great beauty in this 'numerical fingerprint' and was hooked." After a tour in the US Navy he became a K-12 math/science educator and created 'Prime Curios!' (primes.utm.edu/curios/) with the assistance of Chris K. Caldwell, a well-known mathematics professor and technical editor of the site at the University of Tennessee at Martin. Here, people from all over the world submit facts, curiosities, oddities, etc., about anything related to prime numbers. |
| *Amazon |
DEATHS
1859 Peter Gustav Lejeune Dirichlet (
13 Feb 1805, 5 May 1859
) is credited with the modern formal definition of a function. At age twenty he proved that Fermat's last theorem had no solution in fifth powers. After his death, Dirichlet's lectures and other results in number theory were collected, edited and published by his friend and fellow mathematician Richard Dedekind under the title
Vorlesungen über Zahlentheorie (
Lectures on Number Theory). Dirichlet's brain is preserved in the department of physiology at the University of Göttingen, along with the brain of Gauss.(Wikipedia)
(Dirichlet proved in 1826 that in any arithmetic progression with first term coprime to the difference there are infinitely many primes.) *SAU [Dirichlet is buried in Bartholomaus cemetery in Gottingen]
Dirichlet almost never wrote letters, and family members who received one would consider it a rare and unusual document. It is said that he failed to write to his father-in-law, Abraham Mendelssohn, whose son was the composer Felix, after Dirichlet's first child was born. Hisw wife's father commented theat he assumed that even Dirichlet could find time to write "2 + 1 = 3."
1957 Leopold Löwenheim (26 June 1878 in Krefeld, Germany – 5 May 1957 in Berlin) was a German mathematician who worked on mathematical logic and is best-known for the Löwenheim-Skolem paradox. *SAU [Skolem's paradox is that every countable axiomatisation of set theory in first-order logic, if it is consistent, has a model that is countable. This appears contradictory because it is possible to prove, from those same axioms, a sentence which intuitively says (or which precisely says in the standard model of the theory) that there exist sets that are not countable. Thus the seeming contradiction is that a model which is itself countable, and which contains only countable sets, satisfies the first order sentence that intuitively states "there are uncountable sets".] *Wik
1957 Joseph William Kennedy (May 30, 1916 – May 5, 1957) was an American chemist who was a co-discoverer of plutonium, along with Glenn T. Seaborg, Edwin McMillan and Arthur Wahl. During World War II he was head of the CM (Chemistry and Metallurgy) Division at the Manhattan Project's Los Alamos Laboratory, where he oversaw research onto the chemistry and metallurgy of uranium and plutonium. After the war, he was recruited as a professor at Washington University in St. Louis, where he is credited with transforming a university primarily concerned with undergraduate teaching into one that also boasts strong graduate and research programs. He died of cancer of the stomach at the age of 40.
1989 Stefan E Warschawski (April 18, 1904 – May 5, 1989) With careful scholarship, he made lasting contributions to the theory of complex analysis, particularly to the theory of conformal mappings. With keen judgment, he guided two mathematics departments to eminence. With modest gratitude, he cemented many friendships along the way.*SAU [He is buried in El Camino Memorial Park, San Diego, California.]
2007 Theodore Harold "Ted" Maiman (July 11, 1927 – May 5, 2007) was an American Engineer and physicist credited with the invention of the first working laser.[ Maiman’s laser led to the subsequent development of many other types of lasers. The laser was successfully fired on May 16, 1960. In a July 7, 1960 press conference in Manhattan, Maiman and his employer, Hughes Aircraft Company, announced the laser to the world. Maiman was granted a patent for his invention, and he received many awards and honors for his work. Maiman's experiences in developing the first laser and subsequent related events are described in his book, The Laser Odyssey. *Wik
2020 Sergei Ivanovich Adian, also Adyan (Armenian: Սերգեյ Իվանովիչ Ադյան; Russian: Серге́й Ива́нович Адя́н; 1 January 1931 – 5 May 2020),[1] was a Soviet and Armenian mathematician. He was a professor at the Moscow State University and was known for his work in group theory, especially on the Burnside problem.
Adian was born near Elizavetpol. He grew up there in an Armenian family. He studied at Yerevan and Moscow pedagogical institutes. His advisor was Pyotr Novikov. He worked at Moscow State University (MSU) since 1965. Alexander Razborov was one of his students.In his first work as a student in 1950, Adian proved that the graph of a function {\displaystyle f(x)} of a real variable satisfying the functional equation {\displaystyle f(x+y)=f(x)+f(y)} and having discontinuities is dense in the plane. (Clearly, all continuous solutions of the equation are linear functions.) This result was not published at the time. About 25 years later the American mathematician Edwin Hewitt from the University of Washington gave preprints of some of his papers to Adian during a visit to MSU, one of which was devoted to exactly the same result, which was published by Hewitt much later.
By the beginning of 1955, Adian had managed to prove the undecidability of practically all non-trivial invariant group properties, including the undecidability of being isomorphic to a fixed group {\displaystyle G}, for any group {\displaystyle G}. These results constituted his Ph.D. thesis and his first published work. This is one of the most remarkable, beautiful, and general results in algorithmic group theory and is now known as the Adian–Rabin theorem. What distinguishes the first published work by Adian, is its completeness. In spite of numerous attempts, nobody has added anything fundamentally new to the results during the past 50 years. Adian's result was immediately used by Andrey Markov Jr. in his proof of the algorithmic unsolvability of the classical problem of deciding when topological manifolds are homeomorphic.
Burnside problem :
The Burnside problem asks whether a finitely generated group in which every element has finite order must necessarily be a finite group. It was posed by William Burnside in 1902, making it one of the oldest questions in group theory, and was influential in the development of combinatorial group theory. It is known to have a negative answer in general, as Evgeny Golod and Igor Shafarevich provided a counter-example in 1964. The problem has many refinements and variants that differ in the additional conditions imposed on the orders of the group elements . *Wik
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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
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