If this will happen anytime again, turn ON the MONO AUDIO in phone settings, by doing this your both ear will enjoy the video : )... Bcs mono audio combines the left and right audio channel...
Hello, I appreciate the explanation a lot. However, it would be better if you lower the background music a bit, because sometimes can't hear what you say, to the point that I have to use subtitles :). Keep up the good work!
I second that! Also, a better microphone and articulating words better would help a lot. I stopped watching the video because I got frustrated with the voiceover
If this will happen anytime again, turn on the MONO AUDIO in phone settings, by doing this your both ear will enjoy the video : )... Bcs mono audio combines the left and right audio channel...
God, if I never hear about the double slit experiment again in youtube physics videos I'll die happy. We all know what it is, you don't have to explain it AGAIN.
I thought it was just a space which is complete according to the norm induced by its dot product, and being complete means that every Cauchy sequence converges in the space
this was my understanding of it also, the key being that "every Cauchy sequence converges in the space". This video is better th-cam.com/video/_kJUUxjJ_FY/w-d-xo.html&ab_channel=QuantumSense
With Manim community! I linked their website in the description. It's a Python library originally created by the creator of 3Blue1Brown in case you are familiar.
Isn't a Hilbert space just a complete vector space whose norm is derived in the conventional way from its inner product? It doesn't need to be a set of functions.
The Mathematician Answer: hilbert space - a finite or an infinite dimensioanl complete inner product space i.e an inner product space that's complete w.r.t to the metric induced by the inner product fock space - the direct sum of a bunch of tensor products of a bunch of hilbert spaces (whose completion is a tensor algebra) The Physicist Answer: oh it's basically where vectors (which are quantum states) live in and it also has a dot product in it. and a fock space is just a combination of a bunch of hilbert spaces you can use to describe the quantum states of a system of a bunch of different particles lol that's literally it
Je bent gwn de Nederlands versie van 3blue1brown. Doe zelf datascience en AI, en nog een andere bachelor. Ik vind quantum computation zeer interessant heb je voor mijn enige recommendaties voor boeken die een introductie niveau geven tot dit onderwerp?
That’s because this video isn’t a mathematical description of a Hilbert space, it’s an intuitive description of a particular class of Hilbert spaces that physicists commonly simply call “Hilbert space.” A complete metric space means that every Cauchy sequence in that space converges to a point in that space. It’s pretty analogous to being closed in topology. A good intuitive description of what “complete” means isn’t really possible in a TH-cam comment. Maybe a wiki article helps. en.wikipedia.org/wiki/Complete_metric_space
I used to quip that "when you're sitting in the HILBERT ROOM you have to look sharp and keep your bearings, or some strange things will soon be happening"🎆.😵💫 ("room" and "geometric /numerical space" are rendered by the same word in Swedish, my native language: "rum") 😀
This is a good video, but I think it overlooks *why* this is a hilbert space. would be helpful if you used the quantum mechanical examples to explain the properties of the representation that make this space is a Hilbert space and not some other type of space/representation.
In the example of a Hilbert space you use the example of x1, x2, x3 as the axis - and vectors represent the probabily of finding the particle in positon x1, x2, x3. But is the idea in a bonified hilbert space to generalize this so that we have infinite dimensions where every direction represents a position in space? - and we do this so we can have nice properties like the length of all vectors is 1 - that we can use for doing math and figuring things out. Does this tie into space filling curves like the Hilbert curve? As thats a way to map real numbers to positions which we might use to label our infinite dimensions -- or is that completely unrelated other than the mathematician who made them 😅
It always makes me sad when there is good content but it has one extreme red flag making it completely unwatchable like the audio mixing in this video. How can you not notice this?
WHY DO YOU HAVE LOUD MUSIC IN THE BACKGROUND AND WHY ARE YOU WHISPERING IN MY LEFT EAR. EXPLAINING HILBERT SPACE WITH THESE PREREQUISITES MAKES ME QUESTION THE EPISTEMOLOGY
I don't know if placing your voice on the left while the music plays on the right is a metaphor you used to just represent how complex it is to grasp this up the first time, technical issues, or just a design flaw in the video' script. But seriously. Just turn off the music and center your voice, please.
why must the sum of all the probabilities of finding the particle in a vector space must be equal to 1 ? that might be true in classical mechanics but in a system with superpositions where the particle might be superimposed on or in several locations all at the same time surely the probability of finding it somewhere must be some number greater than 1
Were hilbert space????? Vectorial space with intern produt + all Cauchy sequences are convergent. You speak noting of hilbert space but only space of states (a la Cohen) . please more caution a respect of mathematics
A physicist's introduction to finite dimensional inner product spaces... 😅... But a physicist doesnt need to study functional analysis if he can do calculations... As long as reisz representation theorem holds you can do all the hand wavy things with dirac notation... Nice video though...
Constructive feedback: First minute 30 seconds i havent been hooked. background music + mumbling is not good. The sound balance has the music higher than your voice at times, others not. I came for information not to be serenaded, know your audience. You put up a bunch of "you've probably seen" physics equations and then in the literal next breath exclaim how you really don't know what any of them mean. This kills your credulousness to any rational watcher. You might want to take a step back and ask yourself what and why you're doing this. Is it to present higher level science ideas in layman's terms? Or is it to explain intriguing scientific ideas to a more general scientific body? I feel like your channel tries to be the latter but it is formally most the prior. I'm just being real, the unclear pronunciation, the mumbling, the background music, the seemingly lack of true understanding of the concept, all leave me as a viewer to think, especially after a minute 30 that why am I not watching any of the other Hilbert Space videos that don't have production issues and actually know where theyre talking about and get right to the point. I clicked the *updated audio* I wasnt going to and just going to say good job, then I clicked it, it's just as terrible if not more, and you're killing your algo trying to push the same video twice, youtube is smarter than you think. Just redo the whole video... you're losing more trying to keep a 75k count video up with stunted growth and a duplicate video on the same channel rather than realizing if what you really want is out there this 75k count video is nothing in the grand scheme of things and is actually holding you back. Bro it's a terrible video let's be real.
My left ear enjoyed this. Great video anyways.
If this will happen anytime again, turn ON the MONO AUDIO in phone settings, by doing this your both ear will enjoy the video : )... Bcs mono audio combines the left and right audio channel...
@@WillHunting1100 oh thanks.
Lmaoo!! It only worked for me when my phone was vertical.
@@qxxnocasino7927 Turn ON Mono Audio in phone settings.
Watch it backwards in a mirror and your right ear will
Hello, I appreciate the explanation a lot. However, it would be better if you lower the background music a bit, because sometimes can't hear what you say, to the point that I have to use subtitles :). Keep up the good work!
I second that! Also, a better microphone and articulating words better would help a lot. I stopped watching the video because I got frustrated with the voiceover
I think the horrible audio quality and almost indecipherable voice is here to chase away the casuals. Love it
THe content is great but the background music is too loud and unnecessary. Can you please reload the video without background music. Thank you
Audio is left ear only, Otherwise great video.
If this will happen anytime again, turn on the MONO AUDIO in phone settings, by doing this your both ear will enjoy the video : )... Bcs mono audio combines the left and right audio channel...
Fabulous video! This exactly what I was searching for thank you.
Nice presentation but the background music was way too loud and made it difficult to understand what you're saying
beggars can't be choosers
@@TheKing29102 Is that a good way to reply to constructive criticism? If everyone were like this we would never improve from inputs by others.
Background music is so irritating
What is the typical advantage of putting that music there?
Background music is too loud to listen
I can barely hear your voice over the music.
thank you man for you explication but you could higher the music I can't hear it
why the music?!
Redo this and drop the background music by a factor of 4. Your musak is louder than your voice.
Thanks for the feedback, something went wrong with the audio indeed, I will fix it this weekend :)
@@physicsduck6711 subscribed for very cool video and for taking constructive criticism like a champ 👍
Yeah, your voice is also panned to the left, which is a bit irritating. I guess that was a mistake. XD Apart from that, it's a great video. :)
God, if I never hear about the double slit experiment again in youtube physics videos I'll die happy. We all know what it is, you don't have to explain it AGAIN.
Thanks! Sharpens what had been rather imprecise recollections from a bit back!
I thought it was just a space which is complete according to the norm induced by its dot product, and being complete means that every Cauchy sequence converges in the space
this was my understanding of it also, the key being that "every Cauchy sequence converges in the space". This video is better th-cam.com/video/_kJUUxjJ_FY/w-d-xo.html&ab_channel=QuantumSense
You are correct. I think this video is very much not meant for people who want a mathematical understanding of a Hilbert space.
So a Hilbert space is just a vector space with a 3rd binary operation which is the dot product? Is that it?
Great work man . Loved fhe content . As everyone already said edit the sound or upload a new one keeping this one intact
Cool! How do you make these animations?
With Manim community! I linked their website in the description. It's a Python library originally created by the creator of 3Blue1Brown in case you are familiar.
@@physicsduck6711 Thanks! Yes I am familiar with 3Blue1Brown
Keep going man ❤ you doing good
Can you video code??
It is great but the side music annoyed me. It was an obstacle to concentrate to definitions and speech.
Plz reduce background music, although content is good where hard to listen to it
I still don't see where's the difference between hilbert and eucildean space
I wish the speaker would stop talking so we could hear the music more clearly.
Low IQ comment
Hi you have a mono audio on i cant watch it on headpones
one earbud has only music, the other has mostly narration, thought i'd somehow skipped to a new video with only music
Why only 3 vids?
whats the song??
Awesome video.
Thank You ❤
Bed music is too loud and makes it hard to follow, much less concentrate, on what is being said.
Isn't a Hilbert space just a complete vector space whose norm is derived in the conventional way from its inner product? It doesn't need to be a set of functions.
Consistency of a theory is manifested in a hilbert cube, whose interior is empty.
Little known fact, the originator of the "born rule" is the grandfather of the singer Olivia Newton-John
The Mathematician Answer:
hilbert space - a finite or an infinite dimensioanl complete inner product space i.e an inner product space that's complete w.r.t to the metric induced by the inner product
fock space - the direct sum of a bunch of tensor products of a bunch of hilbert spaces (whose completion is a tensor algebra)
The Physicist Answer:
oh it's basically where vectors (which are quantum states) live in and it also has a dot product in it. and a fock space is just a combination of a bunch of hilbert spaces you can use to describe the quantum states of a system of a bunch of different particles lol that's literally it
So physicists explain it in a simplified version.
@@cybersecurityguyalso ignores a lot of details
I checked my earphones twice 😁😁
Je bent gwn de Nederlands versie van 3blue1brown. Doe zelf datascience en AI, en nog een andere bachelor. Ik vind quantum computation zeer interessant heb je voor mijn enige recommendaties voor boeken die een introductie niveau geven tot dit onderwerp?
Good job RIPPING OFF, 3BLUE 1 BROWN
I'm still confused, what's the difference between a Hilbert space and your run-of-the-mill metric space or inner product space?
A Hilbert space is a inner product space for which the corresponding metric space is complete. So the key point is that it is complete.
@@FiniteSimpleFox
And what does "complete" mean precisely? I don't remember him mentioning that in the video.
That’s because this video isn’t a mathematical description of a Hilbert space, it’s an intuitive description of a particular class of Hilbert spaces that physicists commonly simply call “Hilbert space.”
A complete metric space means that every Cauchy sequence in that space converges to a point in that space. It’s pretty analogous to being closed in topology.
A good intuitive description of what “complete” means isn’t really possible in a TH-cam comment. Maybe a wiki article helps.
en.wikipedia.org/wiki/Complete_metric_space
This is great but just FYI your voice is coming through only the left side-- not in stereo. It's fine for speakers but is distracting on earphones.
Thank you 🙏
Assuming the necessary assumptions, let *H* be a Hilbert space.
-Andrew Dotson
The sound engineer on this video injected too much music making the vocals difficult to follow..
Great, thanks!
I used to quip that "when you're sitting in the HILBERT ROOM you have to look sharp and keep your bearings, or some strange things will soon be happening"🎆.😵💫 ("room" and "geometric /numerical space" are rendered by the same word in Swedish, my native language: "rum") 😀
great explanation of this difficult topic
The background music makes this video far too difficult for me to hear. Please reconsider the need for continuous music.
This is a good video, but I think it overlooks *why* this is a hilbert space. would be helpful if you used the quantum mechanical examples to explain the properties of the representation that make this space is a Hilbert space and not some other type of space/representation.
Sorry but the background music is louder than your voice 😢
Thanks for this explanation
But my brain had to think about the music and think about the meaning
It was a double effort
nice
In the example of a Hilbert space you use the example of x1, x2, x3 as the axis - and vectors represent the probabily of finding the particle in positon x1, x2, x3.
But is the idea in a bonified hilbert space to generalize this so that we have infinite dimensions where every direction represents a position in space? - and we do this so we can have nice properties like the length of all vectors is 1 - that we can use for doing math and figuring things out.
Does this tie into space filling curves like the Hilbert curve? As thats a way to map real numbers to positions which we might use to label our infinite dimensions -- or is that completely unrelated other than the mathematician who made them 😅
3:15
Dude. Audio.
What is this a math explanation or a f**kin' hotel wine-bar!!!???
It always makes me sad when there is good content but it has one extreme red flag making it completely unwatchable like the audio mixing in this video. How can you not notice this?
Good video well explained but please lose the music
Stop the music!!! I can’t hear you
WHY DO YOU HAVE LOUD MUSIC IN THE BACKGROUND AND WHY ARE YOU WHISPERING IN MY LEFT EAR. EXPLAINING HILBERT SPACE WITH THESE PREREQUISITES MAKES ME QUESTION THE EPISTEMOLOGY
I don't know if placing your voice on the left while the music plays on the right is a metaphor you used to just represent how complex it is to grasp this up the first time, technical issues, or just a design flaw in the video' script.
But seriously. Just turn off the music and center your voice, please.
Pure torture with that music
Neither of my ears enjoyed this.
why must the sum of all the probabilities of finding the particle in a vector space must be equal to 1 ? that might be true in classical mechanics but in a system with superpositions where the particle might be superimposed on or in several locations all at the same time surely the probability of finding it somewhere must be some number greater than 1
Were hilbert space????? Vectorial space with intern produt + all Cauchy sequences are convergent. You speak noting of hilbert space but only space of states (a la Cohen) . please more caution a respect of mathematics
I wouldn't listen to the others; the background and animation music make the video delightful. :)
background music relatively too loud, doesn't add any value to the content. stopped watching at 40sec...
Bro is Nederlands
A physicist's introduction to finite dimensional inner product spaces... 😅... But a physicist doesnt need to study functional analysis if he can do calculations... As long as reisz representation theorem holds you can do all the hand wavy things with dirac notation... Nice video though...
bad audio
Music is extremely unnecessary and annoying
Could you please make the music louder. It was not loud enough, because I could hear your voice. Otherwise it was good.
If you turned off the piano we could actually try to decipher your mumbling...
nope. music helps me learn and his voice is relaxing. maybe just get better?
Ugh, I care about the math and not the physics.
Rip
Needless music. And needlessly loud.
Couldn’t watch for more than a minute.
Try again, without the ridiculous music.
Constructive feedback:
First minute 30 seconds i havent been hooked.
background music + mumbling is not good. The sound balance has the music higher than your voice at times, others not. I came for information not to be serenaded, know your audience.
You put up a bunch of "you've probably seen" physics equations and then in the literal next breath exclaim how you really don't know what any of them mean. This kills your credulousness to any rational watcher.
You might want to take a step back and ask yourself what and why you're doing this. Is it to present higher level science ideas in layman's terms? Or is it to explain intriguing scientific ideas to a more general scientific body?
I feel like your channel tries to be the latter but it is formally most the prior.
I'm just being real, the unclear pronunciation, the mumbling, the background music, the seemingly lack of true understanding of the concept, all leave me as a viewer to think, especially after a minute 30 that why am I not watching any of the other Hilbert Space videos that don't have production issues and actually know where theyre talking about and get right to the point.
I clicked the *updated audio* I wasnt going to and just going to say good job, then I clicked it, it's just as terrible if not more, and you're killing your algo trying to push the same video twice, youtube is smarter than you think.
Just redo the whole video... you're losing more trying to keep a 75k count video up with stunted growth and a duplicate video on the same channel rather than realizing if what you really want is out there this 75k count video is nothing in the grand scheme of things and is actually holding you back. Bro it's a terrible video let's be real.
what a waste of time