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Guillaume F.'s user avatar
Guillaume F.'s user avatar
Guillaume F.'s user avatar
Guillaume F.
  • Member for 6 years, 1 month
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5 votes
1 answer
728 views

Matrix Inverse is a Uniformly Continuous function for Uniformly Positive Definite matrices?

3 votes
2 answers
568 views

Is a Contraction also a Contraction under equivalent metrics?

3 votes
1 answer
301 views

Correct Notation of Mean Value Theorem for Vector-Valued Function

2 votes
1 answer
808 views

Equidifferentiable iff derivative is equicontinuous?

2 votes
1 answer
1k views

Big-O & Little-O Notation and Matrices

2 votes
0 answers
101 views

Can a weakly consistent estimator beat a strongly consistent one?

2 votes
2 answers
250 views

$f(x)$ differentiable at $x_0$ with full rank derivatives implies $|f(x_0) - f(x)| \ge C |x_0 - x|$?!

2 votes
1 answer
221 views

Taylor Expansion for Sequence of Functions

2 votes
1 answer
1k views

Continuity on a set is different from Pointwise Continuity on a set?

1 vote
1 answer
36 views

Is there a definition of a r-interior similar to that of a r-neighborhood?

1 vote
0 answers
195 views

Uniform continuity for a function continuous only for integers

1 vote
2 answers
51 views

Does the open cover of a compact always contain an r-neighborhood of the compact

1 vote
1 answer
251 views

Are probability measures induced by random variables always regular?

1 vote
1 answer
191 views

Infinite sum of little Oh terms

1 vote
2 answers
322 views

Do Holder continuous functions preserve rate of uniform convergence sequence?

1 vote
1 answer
68 views

Infinite sum of squared variables is bounded in probability, is the sum also bounded?

1 vote
1 answer
140 views

If a product is bounded in probability, are the terms also bounded in probability?

1 vote
2 answers
308 views

Taylor approximation of function in two variables

1 vote
0 answers
61 views

Continuous partial derivatives at $x_0$ and differentiability around $x_0$

1 vote
0 answers
52 views

Bounds on the two first moments of the absolute value of a random variable?

1 vote
0 answers
62 views

Bounded function implies pointwise consistency = uniform consistency over a closed ball?

1 vote
1 answer
1k views

Proof that $f(x,y) = (x^2 + y^2)\sin(x^2 + y^2)^{-1/2}$ is differentiable?

1 vote
1 answer
46 views

Condition for $\|X_n^{-1}\|$ to be bounded?

1 vote
1 answer
80 views

Function properties preserved under a change of metrics? [closed]

1 vote
0 answers
122 views

Weighted sums of positive semidefinite matrices are uniformly positive definite

1 vote
1 answer
609 views

Matrix inverse and bounds

1 vote
3 answers
75 views

Joint distribution of exponential random variable conditional on their sum

0 votes
1 answer
74 views

How to find $E[X \Phi(X)]$ with $X$ normally distributed?

0 votes
1 answer
228 views

Uniform consistency of a sum of functions with random weights?

0 votes
1 answer
213 views

Lipschitz constant of a function preserved under equivalent metrics?