Level of civilization has a quota of hand-offs.

keywords: standard of living, life, General Systems Theory

# Day: March 16, 2020

# debridement

(removal of dysfunctional tissue)

Here is the link to the Wikipedia article on this topic.

And, for the pronunciation, here is the link to the entry for this in Merriam-Webster.

keywords: cleaning, dentistry, removal of dead tissue, maggots, maggot therapy

# intersection of mathematics and poetry

Type of metrical foot can contribute a poetical nuance to certain numbers, as follows.

Definition 1. A metrical number is an integer n greater than unity having at least two distinct exponents in its prime factorization.

Theorem 1. No square-free number is a metrical number.

Proof: All the exponents are unity, so there do not exist two distinct exponents. QED.

Then, for a given metrical number, the number of primes in its prime factorization is the number of syllables in the foot (with the order of the primes matching the order of the syllables, of course), and the exponent on a given prime in its prime factorization corresponds to the stress that that syllable receives. So, for example, both 2×3^2 and 5×19^7 represent an iamb, but the latter has greater stress on the stressed syllable.

Definition 2. A PROPER metrical number is a metrical number that is the smallest metrical number of its type.

So, for example, 2×3^2 is a proper metrical number, being the smallest representation of an iamb.

The first few metrical numbers are:

12, 18, 20, 24, 28, 40, 44, 45, 48, 50, 52, 54, 56, 60, 150, 1470.

The first few PROPER metrical numbers are:

12, 18, 60, 150, 1470.

Neither of these sequences is yet recorded in the online list of integer sequences.

keywords: poems, Number Theory

# refactorable numbers

(aka tau numbers)

Here is the link to the Wikipedia article on this topic.

keywords: Mathematics, Number Theory, divisibility, number of divisors function

# metrical feet

iamb = short long

trochee = long short

anapest = short short long

dactyl = long short short

keywords: poetry, poems, stressed, unstressed

# lorem ipsum

It seems that there is no Wikipedia article that treats the topic of metrical number theory (that is, the theory of metrical numbers).

keywords: errors and omissions, poetry, poems

# article: ‘A note on a problem of Baker in metrical number theory’, by Kunrui Yu

Here is the link.

keywords: Mathematics, poetry, poems