Values of The Gimel Function
The gimel function has the property for all infinite cardinals κ by König's theorem.
For regular cardinals, and Easton's theorem says we don't know much about the values of this function. For singular, upper bounds for can be found from Shelah's PCF theory.
Read more about this topic: Gimel Function
Famous quotes containing the words values and/or function:
“Today so much rebellion is aimless and demoralizing precisely because children have no values to challenge. Teenage rebellion is a testing process in which young people try out various values in order to make them their own. But during those years of trial, error, embarrassment, a child needs family standards to fall back on, reliable habits of thought and feeling that provide security and protection.”
—Neil Kurshan (20th century)
“Our father has an even more important function than modeling manhood for us. He is also the authority to let us relax the requirements of the masculine model: if our father accepts us, then that declares us masculine enough to join the company of men. We, in effect, have our diploma in masculinity and can go on to develop other skills.”
—Frank Pittman (20th century)