Can absolute value functions be considered polynomial functions?

LordCalculus
Messages
12
Reaction score
0
Are lx3l or lxl3 polynomials?

If not, what would be a good example of a cubic polynomial function (R \rightarrow R) that doesn't cover all real numbers in its codomain?
 
Mathematics news on Phys.org
Answer to your first question- no, they are not polynomials.

Answer to your second question, there is none. Every cubic polynomial has range all real numbers.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

I What type is a polynomial function?
Replies
7
Views
2K
MHB Evaluate the constant in polynomial function
Replies
7
Views
1K
I Simplifying this absolute value
Replies
5
Views
1K
MHB Real Roots of Polynomial Minimization Problem
Replies
1
Views
1K
I Applications of complex gamma (or beta) functions in physics?
Replies
6
Views
2K
MHB Roots of Polynomial: Find $\frac{1}{A}+\frac{1}{B}+\frac{1}{C}$
Replies
1
Views
1K
I Primes and Polynomials
Replies
26
Views
3K
Multilinear Functions and Polynomials
Replies
1
Views
2K
Sine/cosine function and polynomial function
Replies
2
Views
2K
B Intermediate Value Theorem and Synthetic Division
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top