1,648 reputation
616
bio website nicolasessisbreton.com
location Montreal, Canada
age 29
visits member for 2 years, 8 months
seen 1 hour ago

I'm a graduate math student at Concordia University, Montreal.


Oct
20
comment What is the error when approximating $L^2([0,1])$ by a finite dimensional space?
@PrahladVaidyanathan Yes, thank you. I forgot to say that $X$ contains only bounded function. I added it.
Oct
20
revised What is the error when approximating $L^2([0,1])$ by a finite dimensional space?
added 89 characters in body
Oct
20
comment What is the error when approximating $L^2([0,1])$ by a finite dimensional space?
@PrahladVaidyanathan I see, I miswrite the max notation. I have corrected it, is it better now?
Oct
20
revised What is the error when approximating $L^2([0,1])$ by a finite dimensional space?
max
Oct
20
comment What is the error when approximating $L^2([0,1])$ by a finite dimensional space?
@PrahladVaidyanathan For my understanding, the error is in the orthogonal space. If I use your formula, the error will be too big: for any $f$, the closest $g \in X_n$ to $f$ is $\sum (f,v_i) v_i$, I think.
Oct
20
asked What is the error when approximating $L^2([0,1])$ by a finite dimensional space?
Oct
19
accepted Is there a standard $L^2$ norm for multi-valued function $f:\mathbb R^n \to \mathbb R^n$?
Oct
18
awarded  Revival
Oct
18
asked Is there a standard $L^2$ norm for multi-valued function $f:\mathbb R^n \to \mathbb R^n$?
Oct
12
accepted Is there a nonstandard characterization of Lipschitz continuity?
Oct
11
asked Is there a nonstandard characterization of Lipschitz continuity?
Oct
2
awarded  Nice Question
Oct
1
comment Is there a continuous bijection between an interval and a square: $[0,1] \mapsto [0,1] \times [0,1]$?
@copper.hat Your answer shows an other side of the die. Please let it live.
Oct
1
accepted Is there a continuous bijection between an interval and a square: $[0,1] \mapsto [0,1] \times [0,1]$?
Oct
1
comment Is there a continuous bijection between an interval and a square: $[0,1] \mapsto [0,1] \times [0,1]$?
@BobPego The bijection requirement was a first instinct. You made me realized I can forgo it. Thank you for your insightfull comment.
Oct
1
asked Is there a continuous bijection between an interval and a square: $[0,1] \mapsto [0,1] \times [0,1]$?
Sep
13
awarded  Popular Question
Sep
6
revised When solving PDEs is there an alternative to interpolation for out-of-grid point?
other example
Sep
6
revised When solving PDEs is there an alternative to interpolation for out-of-grid point?
error in tex
Sep
6
asked When solving PDEs is there an alternative to interpolation for out-of-grid point?