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Google is failing me. I am looking for the name of and/or information about numbers whose prime decomposition only has single powers. The series goes 6, 10, 14, 15, 21, 30, etc, and does not include 12=3*2^2, 9=3^2, etc. I forget why I want it, but it's in my notes. Anybody familiar with it? SamuelRiv ( talk) 18:00, 11 January 2014 (UTC)
Look at the Degree of a polynomial article.
It has a section that talks about the degrees of functions that are not polynomials.
The first 2 are easy to see the meaning of. They extend the degree to all real numbers as opposed to just the non-negative integers.
However, let's play with the statement that the degree of is 0.
This statement reveals that sometimes, a function that is not a constant can have a degree of 0.
Given this statement, we can create functions with logarithms for any degree by multiplying a polynomial by the logarithmic function, and using this rule it does not change the degree. For example, the degree of is 5.
Is there any rule we can use to create the set of all functions whose degree is 0?? For example, what are the degrees of the inverse hyperbolic functions, the inverse trigonometric functions, and the erf?? Georgia guy ( talk) 22:38, 11 January 2014 (UTC)
Mathematics desk | ||
---|---|---|
< January 10 | << Dec | January | Feb >> | January 12 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Google is failing me. I am looking for the name of and/or information about numbers whose prime decomposition only has single powers. The series goes 6, 10, 14, 15, 21, 30, etc, and does not include 12=3*2^2, 9=3^2, etc. I forget why I want it, but it's in my notes. Anybody familiar with it? SamuelRiv ( talk) 18:00, 11 January 2014 (UTC)
Look at the Degree of a polynomial article.
It has a section that talks about the degrees of functions that are not polynomials.
The first 2 are easy to see the meaning of. They extend the degree to all real numbers as opposed to just the non-negative integers.
However, let's play with the statement that the degree of is 0.
This statement reveals that sometimes, a function that is not a constant can have a degree of 0.
Given this statement, we can create functions with logarithms for any degree by multiplying a polynomial by the logarithmic function, and using this rule it does not change the degree. For example, the degree of is 5.
Is there any rule we can use to create the set of all functions whose degree is 0?? For example, what are the degrees of the inverse hyperbolic functions, the inverse trigonometric functions, and the erf?? Georgia guy ( talk) 22:38, 11 January 2014 (UTC)