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Apr
27
answered Riemann Integration/Sums
Apr
27
comment A Real analysis quesiton related to continuity and completeness
Of course we need $S$ to be bounded (think of $\sup \mathbb Z$!), which follws from boundedness of $I$. The latter must be assumed, cf. @Lubin's comment to the question
Apr
27
comment A Real analysis quesiton related to continuity and completeness
The condition (cf. @Lubin's comment) that $I$ must be bounded is what guarantees that $\sup S<\infty$ here
Apr
27
comment Interior and closure of an arbitrary product
And $A\alpha$? $A_\alpha$, $A\cdot \alpha$, $A^\alpha$??
Apr
27
revised Prove the statements or show counterexample
edited body
Apr
27
comment If a series converges does its sequence of partial sums converge?
It is common to simply write "if" in a definition, even though logically one would expect an "iff".
Apr
27
answered UNBEATABLE recurrence relation
Apr
27
comment What kind of function do I have to find?
As ar as can be told from this, you just have to exhibit some function that satisfies the boundary condition but is not a linear combinatoipn of the eigenfunctions.
Apr
27
reviewed Leave Open An Undecidable but not Universal Turing Machine?
Apr
27
reviewed Close Evaluate $ \int_{-\pi/2}^{\pi/2} \frac{\cos(x)}{1+e^x} dx$
Apr
27
comment Find the radius of convergence of the following
Even apart from my LaTeX complaint: if you post several questions in quick succession, one is forced to get the impressin that you did not spend much time with each
Apr
27
answered Proving a function is bounded above.
Apr
27
comment Find the radius of convergence of the following
You have posted several questions in quick succession without even bothering to use LaTeX
Apr
27
comment Is the function continuous?
Note that $\max$ is not even necessarily defined for an infinie set.
Apr
27
comment Is the function continuous?
possible duplicate of Prove the statements or show counterexample
Apr
27
answered Prove the statements or show counterexample
Apr
27
revised Prove the statements or show counterexample
added 157 characters in body
Apr
27
answered $A\in GL_n(\mathbb Z)$ is a product of elementary matrices $E_1, \ldots, E_k \in GL_n(\mathbb Z)$
Apr
27
comment Homeomorphisms on Zariski topologies
Then you should be more specific as to which topology you wanted to use on which copy of $\mathbb Z$, I suppose.
Apr
27
comment Homeomorphisms on Zariski topologies
Why not simply use $x\mapsto x$ from $\{0,1\}$ under the the discrete topology to the same set under the indiscrete topology?