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 of, values and/or function:
“Individually, museums are fine institutions, dedicated to the high values of preservation, education and truth; collectively, their growth in numbers points to the imaginative death of this country.”
—Robert Hewison (b. 1943)
“To be faced with what so-and-so’s mother lets him do, or what the teacher said in class today or what all the kids are wearing is to be required to reexamine some part of our belief structure. Each time we rethink our values we reaffirm them or begin to change them. Seen in this way, parenthood affords us an exceptional opportunity for growth.”
—Ruth Davidson Bell (20th century)
“For me being a poet is a job rather than an activity. I feel I have a function in society, neither more nor less meaningful than any other simple job. I feel it is part of my work to make poetry more accessible to people who have had their rights withdrawn from them.”
—Jeni Couzyn (b. 1942)