A system, to exist, has to have at least one component. A system may be single-component or multi-component. (Note that ‘single-component’ means that more than one component is not allowed, while ‘multi-component’ does not necessarily mean that there is more than one component, but simply that more than one component is allowed.) Note that for … Continue reading Theorems about Systems: Wedderburnian Theorems

# Month: July 2020

# OBSERVATION (hierarchy)

The purpose of hierarchy is to eliminate gridlock. Equivalently, the purpose of hierarchy is to make close figuring possible. keywords: [mathematics] [General Systems Theory] [necessity]

# RECIPROCITY

The more widespread innumeracy is, the more fantastic the estimates that are run up the flagpole. Corollary: Demonization (based on fantastic estimates against the other side) is a consequence of innumeracy. keywords: [politics] [ignorance] [mathematics]

# PUN (Halloween)

On Halloween you don’t need a microscope to see the hemo goblins. keywords: [Language Arts] [Linguistics] [wordplay] [monsters] [scary creatures]

# ACH – What does it mean?

It means ‘automated clearing house’. Here’s the link to the Wikipedia article on it. keywords: [banking] [money] [financial transactions] [domestic low-value payments] [domestic low value payments]

# JOKE (Ten Commandments)

The Ten Commandments are not as they were originally proposed by God, but the result of His revision after being urged by Moses to ‘tailor’ them more specifically for understanding by the hoi polloi. keywords: [religion] [Old Testament] [target audience]

# Arthur Butz and Deborah Lipstadt

What Arthur Butz and Deborah Lipstadt have in common: Neither thinks it’s worth taking the time to learn Esperanto. keywords: [politics] [history]

# article (on mathematics, elliptic curves): Good Reduction

Here is the link. keywords: [greater precision of definition] [flat and smooth morphisms] [abelian varieties]

# p-adic Hodge Theory

Here is the link to the Wikipedia article on it. keywords: [Mathematics] [Number Theory]

# Conjecture (compatible primes, Lagrange’s conjecture)

If n is greater than 1 and p is the greatest prime less than n^2 and q is the smallest prime greater than (n+1)^2, and n^2 – p = 2 and q – (n+1)^2 = 1, then p and q are compatible primes. keywords: [Mathematics] [Number Theory]