On Fibonacci Day, November 23rd, Science Magazine published a bio on a modern mathematician who utilized the Fibonacci series to uncover how to solve Formalist David Hilbert’s 10th problem. International Fibonacci day itself is a annual celebration that honors one of the most influential mathematicians of the Middle Ages – Leonardo Fibonacci of Pisa.
Fibonacci was a medieval Italian mathematician who wrote Liber abaci (1202; “Book of the Abacus”), the first European work on Indian and Arabian mathematics. He discovered an intrinsic and self-evident algorithm that appears throughout nature called in his honor the Fibonacci Series. We have no hard dates on Signore Fibonacci and so cannot do a chart but we know it would be spectacular.
Microsoft’s Bing search engine also celebrated Fibo Day with a shot of an agave and a quiz.
What a fibonacci number
A Fibonacci sequence starts with 1, 2, 3, 5, 8, 13, 21, 34, 55 (Fibonacci himself omitted the first term) and goes on with each number in the sequence being the sum of the two preceding numbers, (i.e. 1+2 =3, 3+2 =5 and so on). It is a recursive number sequence because to go forward you must go back (sort of like back stitch in embroidery).
The Fibonacci numbers are also exemplified by the botanical phenomenon known as phyllotaxis where the whorls on a pinecone , pineapple, or petals on a sunflower follow a sequence of Fibonacci numbers or the series of fractions
Back to Julia
Julia Robinson wanted to know the answer to Hilbert’s 10th problem and though she did work on it, she did not find the answer. Just after her 50th birthday, the twenty two year old Soviet mathematician Yuri Matiyasevich announced that he had solved the problem and gave her the nod for helping in the solution. The key was in her early papers that showed how to algorithmically compute functions (also called the recursive functions) that map the natural numbers into themselves.
One of the initial functions is just the successor function S(x)= x+1. The other, which Robinson calls E, is defined as the difference between a given number and the largest perfect square that does not exceed it. (Thus E(19) = 19 – 16 = 3 and E(25) = 25 -25 = 0.)
The three operations are as follows:
(1) from given functions F and G obtain the function H(x)=F(G(x));
(2) from given functions F and G obtain the function H(x)=F(x) + G(x); and
(3) from a given function F whose values include all natural numbers obtain the function H where H(x) is the least number t for which F(t)=x.from her paper which uses not only the Fibo sequence but the Turing wheel for support.
Julia was born on December 8 1919 in Saint Louis, Missouri to Ralph Bowers Bowman and Helen Bowman who died when Julia was two. Her father remarried and moved the family out to California where Julia got both rheumatic and scarlet fever. In 1936, Robinson entered San Diego State University at the age but transferred to UCal Berkeley in 1939 where she met Raphael M. Robinson, her mentor and later husband. Her specialty was game theory and she was the first female mathematician to be elected to the National Academy of Sciences.
Her Ascendant is 28 Scorpio, [HS] a book about memory techniques or the ability to bring into being a state of accord a system. Her Moon is incredibly fast at 15.07 and then while her Mercury is just 4 degrees away, it is in another sign at 03 Sagittarius 21, making it unfettered. Thankfully her Mercury is also retrograde giving Mrs. Robinson the ability to jump forward in her thought process and visualize what she was looking for, and then be able to trace that process back and write it in mathematical notation. We have not run into this configuration previously.