MHB Finding the Maximum Value of n for a Given Equation

  • Thread starter Thread starter Marcelo Arevalo
  • Start date Start date
  • Tags Tags
    Maximum Value
Marcelo Arevalo
Messages
39
Reaction score
0
What is the Largest possible value of n such that there is a multiple of 4 less than n^2 but greater than n^2 + 2016/n^2 ?
 
Mathematics news on Phys.org
I think you will agree that:

$$n^2<n^2+\frac{2016}{n^2}$$

So, how can some number be smaller than the smaller value, and at the same time greater than the greater value?
 
Meaning, there's no such thing as the smaller value, and at the same time greater than the greater value?
 

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

B How to find an integer solution to a nonlinear equation?
Replies
6
Views
1K
I Billard balls on table
Replies
10
Views
2K
MHB Write an inequality and solve for the maximum possible value of n
Replies
5
Views
2K
MHB Λ and μ are scalars, find the value of λ and the value of μ
Replies
4
Views
2K
MHB What is the Value of N in the Equation N + S(N) = 2000?
Replies
3
Views
1K
I Is this a proof of the Collatz Conjecture?
Replies
8
Views
3K
B Combinatorics and Magic squares
Replies
2
Views
2K
I Finding the dependence of maximum vertex degree on k-colorability
Replies
1
Views
1K
I Higher Dimensional Spheres viz. Cubes
Replies
1
Views
1K
B How does the Riemann Hypothesis/Riemann Zeta function even work?
Replies
17
Views
853

Hot Threads

Recent Insights

Back
Top