Posts tagged with video

Components of internet traffic 1995-2005
via proofmathisbeautiful, un, infoneer-pulse, byWired:


"the center of gravity of … media … is moving to a post-HTML environment,” we promised nearly a decade and half ago. The examples of the time were a bit silly — a “3-D furry-muckers VR space” and “headlines sent to a pager”…


Look how much DNS requests used to take up!
Also surprised email isn’t more of the traffic now. I guess this is measured in terms of bytes rather than in ℓ₀ terms: number of
I remember how in the late 90’s people would speculate that everyone would become a co-creator (in fact big-money books were written to this theme). But maybe the lesson is that there are a relatively small number of passionate artists and artisans trying to get the word out about their stuff, and well-organised corps are very good at getting us to pay attention to certain art and not other art—although “viral” is a fairly chaotic a Wild West, certainly more so than three-channel broadcast. The “peer-to-peer” category I interpret as people trading albums and movies by the top artists. The picture doesn’t go up until 2010 but I think big corps have made inroads into the fuchsia video band by now.
One more mathematical observation about this chart: the total amount of traffic obviously exploded during 1995-2005 but we see a constant height on the graph. So that’s like “modulo size changes”aka the familiar.

Components of internet traffic 1995-2005

via proofmathisbeautiful, un, infoneer-pulse, byWired:

"the center of gravity of … media … is moving to a post-HTML environment,” we promised nearly a decade and half ago. The examples of the time were a bit silly — a “3-D furry-muckers VR space” and “headlines sent to a pager”…

  • Look how much DNS requests used to take up!
  • Also surprised email isn’t more of the traffic now. I guess this is measured in terms of bytes rather than in ℓ₀ terms: number of

I remember how in the late 90’s people would speculate that everyone would become a co-creator (in fact big-money books were written to this theme). But maybe the lesson is that there are a relatively small number of passionate artists and artisans trying to get the word out about their stuff, and well-organised corps are very good at getting us to pay attention to certain art and not other art—although “viral” is a fairly chaotic a Wild West, certainly more so than three-channel broadcast. The “peer-to-peer” category I interpret as people trading albums and movies by the top artists. The picture doesn’t go up until 2010 but I think big corps have made inroads into the fuchsia video band by now.

One more mathematical observation about this chart: the total amount of traffic obviously exploded during 1995-2005 but we see a constant height on the graph. So that’s like “modulo size changes”aka the familiar
image.


hi-res




[T]he point of introducing L^p spaces in the first place is … to exploit … Banach space. For instance, if one has |ƒ − g| = 0, one would like to conclude that ƒ = g. But because of the equivalence class in the way, one can only conclude that ƒ is equal to g almost everywhere.

The Lebesgue philosophy is analogous to the “noise-tolerant” philosophy in modern signal progressing. If one is receiving a signal (e.g. a television signal) from a noisy source (e.g. a television station in the presence of electrical interference), then any individual component of that signal (e.g. a pixel of the television image) may be corrupted. But as long as the total number of corrupted data points is negligible, one can still get a good enough idea of the image to do things like distinguish foreground from background, compute the area of an object, or the mean intensity, etc.

Terence Tao

If you’re thinking about points in Euclidean space, then yes — if the distance between them is nil, they are in the exact same spot and therefore the same point.

But abstract mathematics opens up more possibilities.

  • Like TV signals. Like 2-D images or 2-D × time video clips.
  • Like crime patterns, dinosaur paw prints, neuronal spike-trains, forged signatures, songs (1-D × time), trajectories, landscapes.
  • Like, any completenormedvector space. (= it’s thick + distance exists + addition exists + everything’s included = it’s a Banach space)

(Source: terrytao.wordpress.com)