# Math 1988

less info
reputation
8
bio website location age 26 member for 1 year, 10 months seen Aug 11 at 18:08 profile views 38

analysis, linear algebra

# 7 Questions

 2 isomorphisms of two vector spaces and their duals 1 Prove that the sequence $x_n=n$ is cauchy with this metric $d(x,y)=\dfrac{\vert x-y \vert}{\sqrt {1+x^2} \sqrt{1+y^2}}$ 1 If$(X,d)$ is a metric space, is $(X,d^2)$ a metric space? 1 $\lim\limits_{r\rightarrow \infty , 0} \left(\frac{\sum_1^n i^r/ n}{\sum_1^{n+1} i^r/(n+1)}\right)^{1/r}$? 1 $\epsilon$-$\delta$ proof of discontinuity

# 89 Reputation

 +5 isomorphisms of two vector spaces and their duals +10 Linear functional and transposition. +5 Prove that the sequence $x_n=n$ is cauchy with this metric $d(x,y)=\dfrac{\vert x-y \vert}{\sqrt {1+x^2} \sqrt{1+y^2}}$ -2 prove that $x_n=\frac{1}{n}$ is cauchy sequence

 2 Linear functional and transposition. 0 Partial derivative of vector and linear transformation? 0 Cauchy Schwarz Inequality Original Reference 0 How to find $\lim_{n\rightarrow\infty}\frac{(n+1)^{k}+(-n)^{l}}{(n-1)^{k}-n^{l}}$ for $k,l\in\mathbb{N}$.

# 11 Tags

 2 linear-algebra × 3 0 inner-product-space 0 analysis × 3 0 math-history 0 sequences-and-series × 2 0 limits 0 real-analysis × 2 0 metric-spaces 0 multivariable-calculus 0 cauchy-sequences

# 2 Accounts

 Mathematics 89 rep 8 MathOverflow 1 rep 1