Thymaridas - Life and Work

Life and Work

Although little is known about the life of Thymaridas, it is believed that he was a rich man who fell into poverty. It is said that Thestor of Poseidonia traveled to Paros in order to help Thymaridas with the money that was collected for him.

Iamblichus states that Thymaridas called prime numbers "rectilinear" since they can only be represented on a one-dimensional line. Non-prime numbers, on the other hand, can be represented on a two-dimensional plane as a rectangle with sides that, when multiplied, produce the non-prime number in question. He further called the number one a "limiting quantity".

Iamblichus in his comments to Introductio arithmetica states that Thymaridas also worked with simultaneous linear equations. In particular, he created the then famous rule that was known as the "bloom of Thymaridas" or as the "flower of Thymaridas", which states that:

If the sum of n quantities be given, and also the sum of every pair containing a particular quantity, then this particular quantity is equal to 1/(n + 2) of the difference between the sums of these pairs and the first given sum.

or using modern notation, the solution of the following system of n linear equations in n unknowns,

x + x1 + x2 + … + xn−1 = s
x + x1 = m1
x + x2 = m2
.
.
.
x + xn−1 = mn−1

is given by

Iamblichus goes on to describe how some systems of linear equations that are not in this form can be placed into this form.

Read more about this topic:  Thymaridas

Famous quotes containing the words life and/or work:

    “And Manuel embraced his mother and they laughed together: Délira’s laugh sounded surprisingly young; that was because she hadn’t really had the chance to make it heard; life was just not happy enough for that. No, she never had time to use it; she had kept it fresh as can be, like a birdsong in an old nest.”
    —Jacques Roumain (1907–1945)

    “Poetry, whose material is language, is perhaps the most human and least worldly of the arts, the one in which the end product remains closest to the thought that inspired it.... Of all things of thought, poetry is the closest to thought, and a poem is less a thing than any other work of art ...”
    —Hannah Arendt (1906–1975)