To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.

@michaelsalmon3450

3 жыл бұрын

Is it possible you could create a KZread playlist on quantum, ordering the videos, to help learners to best utilize the content? Would be much appreciated! Great channel

@1234userrr

3 жыл бұрын

Wave function is also a function of particles rotation which doesn't seem to be taken care by shortinger equation, by the way iam just a poor peasant..

@EugeneKhutoryansky

3 жыл бұрын

I explain quantum spin in my video at kzread.info/dash/bejne/ZZ9pq7mlhsezktI.html

@Mi_Fa_Volare

3 жыл бұрын

On the KZread app, the subtitles intrusively enable by themselves. Please remove the subtitles until KZread sorts that out. Please urge KZread to update the KZread app to obey my settings for not having captions on automatically. It's been a year already and they still haven't fixed it. My patience has run out.

@moses777exodus

2 жыл бұрын

Very informative. Thanks for sharing, Lord-Jesus-Christ com

Love your videos. Not many youtubers try to explain quantum mechanics in detail, while still making it comprehensible to a non-physicist.

@EugeneKhutoryansky

8 жыл бұрын

+Momchil Momchilov, thanks.

@sandygrungerson1177

7 жыл бұрын

the wave function is described as a rotating helix?

@DasIllu

7 жыл бұрын

As far as i understand it the "helix" arises when you not just graph out 1 dimension over time or angle but have a complex plane. So for example: y=sin(x) becomes Re=cos(x) + Im=i*sin(x). If that looks familiar, than e^(i*x) might also crossed your eyes. If you exactly one wave with a single frequency component and amlitude, then your signal is a pure helix in this representation of a complex graph. Never forget: a graph is a tool to visualize, not to accuratly depict reality. There is no sinusoidal drawn line in your power outlet either.

@stuartlee8519

6 жыл бұрын

Where does the probability wave come from? who made it? Does it come from our consciousness?

@stuartlee8519

6 жыл бұрын

+DasIllu is the probability wave in more than one universe?

Absolutely beautiful animation. Thank you so very much for this. You're doing a huge service to humanity. I'd nominate you for a Nobel prize if I could.

@EugeneKhutoryansky

8 жыл бұрын

+luigisf, thanks for that really great compliment.

I absolutely love that you give us time to think about and reflect on what you're talking about. No other youtuber has as perfect timing as you. Your timing in the way you explain things is EXACTLY the length that it should be.

@EugeneKhutoryansky

3 жыл бұрын

Thanks for the compliment.

If you like this video, you can help more people find it in their KZread search engine by clicking the like button, and writing a comment. Thanks.

@EugeneKhutoryansky

8 жыл бұрын

+2sheol, I already have a video that discusses the heat death of the Universe. It is the one called "Thermodynamics and the End of the Universe." It is available on my KZread home page. Thanks.

@EugeneKhutoryansky

8 жыл бұрын

+Marek M, I already have several videos on electromagnetic waves. They are discussed in the following videos: "Electromagnetism - Maxwell's Laws", "Waves: Light, Sound, and the nature of Reality", "Polarization of Light" As for electrical impedance, I plan to create a video on AC impedance in the future, but for now, I already have videos that discuss resistors, inductors, and capacitors. These include the videos: "Resistors - Ohm's Law is not a real law" "Inductors and Inductance". I don't yet have a video devoted to capacitors, but capacitors are described in several of my videos, such as: "Voltage multiplier: Generating over 100,000 volts DC" and "Op Amp Circuits" Thanks.

@texasamnaresh

8 жыл бұрын

+Physics Videos by Eugene Khutoryansky Great videos! can you make some on logarithms. Thanks.

@RiadhBoukratem

8 жыл бұрын

Your videos are fascinating :) I'd be very recognized in advance if you make one about QED (quantum electrodynamics).

@cpsiu4057

7 жыл бұрын

Physics Videos by Eugene Khutoryansky

Watching this was like a horror movie. I was overcome with *fear* as long forgotten memories of studying AC electronics, vectors and imaginary numbers came flooding back. _Gulp_

You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: kzread.info_video?ref=share&v=KKr91v7yLcM You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.

Thank you for making these. I really appreciate the time you put into the visuals along with the simple explanations. Your approach is a great complement to other lectures/materials. Whenever I don't quite grasp something somewhere else, I look up one of your videos and then go back. I find I am always able to grasp things at a higher level after. Don't change the format and continue to produce amazing content.

@EugeneKhutoryansky

8 жыл бұрын

+Eric Kitchen, I am glad to hear that my videos are helpful. Thanks.

This. Video. Is. Awesome.

@EugeneKhutoryansky

8 жыл бұрын

+Baptiste Loreau, thanks. Glad you liked it.

@Trident_Euclid

6 жыл бұрын

Don't quantiz your comment again 🙄

@lvintagenerd

4 жыл бұрын

@@Trident_Euclid e

@chetanwaghmare3166

4 жыл бұрын

@ Eugene Khutoryansky : at 7.54 min.: energy is related to frequency and frequency is no. of rotation of wave. Now when partcle is trapped in 1D box, wavelength is discrete, but frequency (no of rotation) can be continuous...so energy should not be discrete. Here i don't think frequency wavelength relationship is applicable. So how you can explain this???

@ishworshrestha3559

4 жыл бұрын

Ok

I am greatly thankful to you guys for this video. Anything visible through animations in Quantum Mechanics is of huge help.Keep inspiring us.

This is by far the most amazing demonstration/visualization of the topic I have ever seen -- it clarified things quite a bit for me. Thank you so much and keep doing these videos, please! :)

OMG, this is exactly what I was trying to visualize, you are awesome!

@EugeneKhutoryansky

4 жыл бұрын

Glad you liked my video. Thanks.

@coolwinder

4 жыл бұрын

@@EugeneKhutoryansky I would only like that you make an explanation for 3D more clear! I find this as important as some research, thank you for your work!

@sakkmatt

3 жыл бұрын

He who claims to understand certainly does not understand.

@coolwinder

3 жыл бұрын

@@sakkmatt i do not see your point... does that means you dont have a point :o

@ishworshrestha3559

3 жыл бұрын

Ok

Amazing visuals. I'll be sure to keep revisiting this video as we continue with quantum mechanics in my physics course!

great video, Eugene! This was really helpful and entertaining at the same time.

@EugeneKhutoryansky

8 жыл бұрын

+Derek Ojeda, thanks. I am glad to hear that.

@sakkmatt

3 жыл бұрын

He who claims to understand certainly does not understand.

Your videos remind me of the old 1950s educational videos. So much information packed in an easy and clear format. No waststed time straight just to the point.

The link between orbitals from atomic chemistry and waves is amazing, and once it hits you, you never forget it

Thank you so much, you're making me interested to the true nature of our Universe and it's such an experience to try to understand. Amazing video's you make

@EugeneKhutoryansky

8 жыл бұрын

+OEI, thanks. I am glad that you like my videos.

Hi,I use your videos to improve my knowledge of Physics and to improve my English. i love your form to explain, it's so clear. Thanks

This is such a well presented simplification of a fascinating topic. Thank you!

I have gained more understanding in 10 minutes here than in years of reading popular science books. Thank you.

@EugeneKhutoryansky

3 жыл бұрын

Glad my video was helpful. Thanks.

The music makes me feel like I'm watching a documentary on poltergeist in quantum mechanics

@kmshaloo7111

3 жыл бұрын

I am a indian please give me your whatsapp no

@user-mz7cn9hq8v

3 жыл бұрын

@@kmshaloo7111 noh

Nice vid! The energy levels in an infinite square well are quantized due to the fact that the boundary conditions yield 0 for the for the wave equation. psi(0)=0 and psi(L)=0. Needless to say, that the quantized energy levels of an infinite square well depends on the width of the well. Its because of these boundary conditions the we can normalize the wave function without having to use the fourier transform. It seems like all we do in my quantum class is learn many methods for finding characteristics of the wave equation. It's nice to step back and look at the big picture every now and then

@voidisyinyangvoidisyinyang885

Жыл бұрын

In my approach there is no need to refer to any wave function. Each individual process is described by the non-commutative elements of the phase-space algebra itself. Classical physics uses a commutative phase-space algebra. Classical physics has the Poisson brackets as a vital part of the description. What we have to understand is how that bracket emerges from the non-commutative structure. Now the non-commutative algebra contains two types of bracket, a commutator or Lie bracket (or Lie product to give it its proper mathematical name) and an anti-commutator or Baker bracket ( known as the Jordan product). The Lie bracket becomes the Poisson bracket as we go to the classical limit, while the Jordan product becomes the normal inner product. In symbols (AB + BA)/2 -> AB. The Jordan product is the most neglected product in the whole discussion of the foundations of quantum mechanics. This is not a 'cheat answer’. It's what you have to understand if you really want to the relation between quantum and classical physics. The clearest discussion of this issue is in the paper I have attached. I hope you find it helpful. Basil Hiley However non-commutativity is deeply ingrained in quantum phenomena and is not, in my opinion, “only mathematics”. The early pioneers of QM, such as Heisenberg, Born, Jordan, Dirac and others showed this feature of non-commutativity in great detail. It was Schrödinger’s work that led to the development of a tremendously successful algorithm based on the notion of a wave function which was formalised into the bras and kets that we have got very very used to manipulating. However by identifying the wave function with the 'state of a system’ we have been left with the unsolved ‘problem', the collapse of the wave function. After one hundred years of effort we have been unable to 'solve this problem’. In the last few years I have come to the conclusion that this is unsolvable simply because it is the wrong question as it is based on treating an algorithm rather than a description of an unfolding process. That the quantum formalism was an algorithm was Bohr’s position all those years ago, but he argued that we could not go deeper by attempting to analysing the process because of the 'Principle of Complementary’. This philosophical principle seemed to have universal appeal outside of physics but now, he argued, with the advent of quantum phenomena, this principle also had a role to play in physics, so to Bohr, the principle became a universal principle that applied to all knowledge. The availability of the ‘algorithm’ which was easy to manipulate and lead to experimental verification should be contrasted with the difficulty in understanding non-commutativity, both mathematically and conceptuality. Furthermore it was very difficult to apply it physical problems. Thus the algorithm becomes the ‘only game in Town’ as we learn how to deal with its uncomfortable features. Then there follows an attempt to make the formalism in to an ontology and the result is a plague of interpretations. I have recently published two papers which address directly the challenge of providing a description of this ‘quantum unfolding’ as Dirac puts it. It is a very different approach which is based on an exploration of non-commutative geometry, in the same spirit of Alain Connes but using more physical intuition. It is a long story but I have a lecture on line at which may help. My lecture is Lecture 2 immediately after Roger Penrose’s lecture in the series ‘Mind and Matter’. My lecture was about 'Matter’ not ‘Mind'! Enjoy, Basil.

No other channels explains physics with this much detail...I love the way they explain everything with so much detail and simple manner ❤️😍👍🏻

I love all of your videos so much. It's making my class so much easier to understand.

Wow. Thanks for this. This has helped my head a lot.I'm not a physicist, just a curious person

@javzpadgaming3062

2 жыл бұрын

I am the same. If you have any advice or sweet channels to look at please let me know! Thanks!

Thanks Eugene for this beautifull video. I love you for that you bring to the world =)

Stunningly beautiful visualisation. Love your videos. Keep them coming, please

This video is so great, i almost finish my first quantum mechanics course and I can say that this video summarizes a lot about it, and in my case it helps me to understand a lot more than the mathematical form we see in class.

I like this video, it's nice and not too simplified for it to keep its value. 2 Thumbs up!!

The level of concentration on all fundamental concepts to truly understand what's going on... lots of work to do... whew.

@samwise1027

6 жыл бұрын

William Alston i think that's the point

The moment the video said that only specific energy levels were possible when the particle is constrained by energy, boundaries, etc. my head immediately jumped to the energy levels of electrons in atoms, and I was so excited when that example turned out to be true later in the video. Such a great “aha” moment, thank you.

After watching many videos on the subject, for the first time I think I began understanding the concept. Thank you.

This is wonderful, he is using Fourier Series to explain Heisenberg's Uncertainty Principle. I never thought that position and momentum could be explained with harmonics. But once you accept the dual wait particle nature of energy and matter, you can then break down the waveform into harmonics.

@dimitriskolokouris9772

8 жыл бұрын

+John Doe you can find the same qualitative explanation for this in Atkin's Physical Chemistry. It's a very delicate explanation i my opinion

@John77Doe

8 жыл бұрын

+Dimitris Kolokouris Good to know. My Physical Chemistry text book back in the 1980's was Ira N. Levine, copyright 1978. I think there was another text box in the 2nd semester, but I lost it.

@NWRIBronco6

8 жыл бұрын

+John Doe I am amazed that nobody has ever bothered to use harmonics to explain the Heisenberg Uncertainty Principle to me before! It seems like a very useful conceptualization, at least once you're comfortable with Fourier series...

@cuzilukiidv6192

8 жыл бұрын

Wait isn't it a she???

@NWRIBronco6

8 жыл бұрын

Narrator is a she (presumably, given voice and the name Kira). Writer is a he (Eugene).

Interesting and useful animation. Would you mind making a 1-minute tutorial on how you did that animation? Thank you!

I can watch 100 videos from different channels, but I get some understanding for real only after I watch your video on a particular issue. Thank you a lot again!!!

@EugeneKhutoryansky

2 жыл бұрын

I am glad my videos are helpful. Thanks.

Superb visual interpretations and animations. Congratulations!

@EugeneKhutoryansky

Жыл бұрын

Thanks for the compliment.

You make physics a little bit easier to understand

@theamici

4 жыл бұрын

much easier*

amazing video, and nice animation, hatts off!

@EugeneKhutoryansky

8 жыл бұрын

+Sangeet Chand, thanks. I am glad you liked my video and my animations.

The quality of your videos is phenomenal. Your videos on quantum mechanics and wave-particle duality are very detailed and comprehensive.

@EugeneKhutoryansky

7 жыл бұрын

Thanks for the compliment about my videos.

Awesome clip Eugene, and very apt in relation to the recent discovery by LIGO. Great building blocks towards a clip on gravitational waves and the hypothetical particle that accompanies (interacts) with these waves. Although I will have to watch it several times for my old brain to catch up :). Thanks for your great work

please please give an animation for eigen function and eigen value

@EugeneKhutoryansky

7 жыл бұрын

A video on Eigenvalues and Eigenvectors is coming soon. Thanks.

@zohaibaarfi126

6 жыл бұрын

Physics Videos by Eugene Khutoryansky Hi..I want ur permission to translate ur videos to Urdu/Hindi language. M not earning anything but just adding my little service to my society.

@lineakristensen1821

5 жыл бұрын

For anything linear algebra, look up 3B1B. They have amazing, very conceptual videos :)

@caesare1968

5 жыл бұрын

@@lineakristensen1821 Thanks for the reference to linear algebra, Excellent !!

@ishworshrestha3559

4 жыл бұрын

Ok

Great video as always :) Very helpful! I've just got one question - at 7:30 onwards we can see that each particle in a box wavefunction = Asin(pi*n*x/L) e^i*omega*t (where L is the length of the box and n is the harmonic) you said that for higher n values, the angular frequency (omega) increases - so I was wondering what the relationship between omega and n is? thanks a lot :)

These visualizations are so helpful when trying to grasp these concepts. They don't always clarify everything for me, but they sure do help a lot. I also appreciate the fact that you express the concepts so carefully without glossing over things, or saying crazy things like the particle IS a wave, rather than it is represented by a wave. It always confuses and discourages me when I hear those kinds of statements, which you seem to scrupulously avoid, and that also helps a lot! Thanks for these excellent educational aids that you have created!

@EugeneKhutoryansky

2 жыл бұрын

Thanks for the compliments.

@NondescriptMammal

2 жыл бұрын

@@EugeneKhutoryansky Thank you for the excellent content! Your visualizations are easily among the best available anywhere.

You're doing some magic with your videos ! Absolutely loving it, keep on going !

@EugeneKhutoryansky

6 жыл бұрын

Thanks.

honestly kept watching to see if the beat would drop

As always, its a clear explanation of a difficult subject. Its the best. Thanks.

@EugeneKhutoryansky

7 жыл бұрын

Thanks for the compliment.

Awesome video. I've been brushing up on solid state chemistry before grad school and this helped a lot in trying to visualise what i was learning.

Wow! Fantasti Video...!!!... I've read a lot of books covering this topic but THIS video seems to have made some obstacles much more clearer now! Thanks for your time you invest in these video, great animation, good narration, so well explained. I hope you keep up this excellent work!

This is how the orbitals get their shape :O mind blown

@mike4ty4

6 жыл бұрын

Yes. More specifically, an orbital happens when the electron's position wave is confined by the electric force of the atomic nucleus. It interferes with itself and stabilizes as a standing wave configuration. This standing wave configuration is an orbital.

Great video! What is the name of the song used at the beginning?

@EugeneKhutoryansky

7 жыл бұрын

Thanks. All the music in this video is from the free KZread audio library, and the names of the songs are the following. Clouds Stale Mate

This is the most timely and instructive video, like, ever.

Great explanation, the visuals, pacing, and music were all perfect. Even though I am still confused, I understood the wave-particle behavior much better.

This is god tier

Also, what is the title and author of the piano composition?

@EugeneKhutoryansky

8 жыл бұрын

+Josh E, The music is from the KZread's free audio library, and the names of the songs are "Clouds" and "Stale Mate."

@digitaltheory4534

8 жыл бұрын

+Physics Videos by Eugene Khutoryansky Believe it or not, I can't find a video for it. Seems fitting for the topic of the video. :|

@arnavanand8037

4 жыл бұрын

@@digitaltheory4534 when you upload a video go to the music library and search for it there

Best description/illustration of the Heisenberg uncertainty principle and the wave nature of particles that I have yet seen on KZread.

@EugeneKhutoryansky

3 жыл бұрын

Thanks for the compliment about my video.

This is amazing! It's the first time I get to see the orbitals of an electron in action. In most books and videos you are presented to a more static representation of the orbitals as an electron cloud which stays...still..it doesnt oscillate like you present it. This is incredible. Your videos are very helpful to me since I am not a physicist but more of a guy with a chemical backround. Thank you for your contribution

@EugeneKhutoryansky

8 жыл бұрын

+Dimitris Kolokouris, thanks. I am glad to hear that my videos have been helpful.

the more quantum physics i try to learn the more confused i get lol

@aitortilla5128

4 жыл бұрын

Probably that's a good thing. If you had understood everything maybe that'd mean that you wouldn't have understood it properly.

@markfennell1167

4 жыл бұрын

That’s because most of what they are saying is not reality.

@Rocky-vj5uv

4 жыл бұрын

With transcendental meditation which unifies ur conciousness wit energy u can see it lol I can see it an it's still alot to grasp but over time I will see it so much an be able to understand it an make this alot easier to understand

@Rocky-vj5uv

4 жыл бұрын

@@markfennell1167 it's reality once u bring ur conciousness to a certain level to unify wit it an see the "unseen"

great explanation. worst music^^

Wow. Darn good video and explanation. One of the best I've seen for a non-physicist. Thank you.

I love this and the work that you all do! Very helpful and intuitive, thank you!

@EugeneKhutoryansky

8 жыл бұрын

+Marco Mosri, thanks for the compliment.

How I wish I have found you years ago during my sophomore year to enhance my learning and understanding!

Thank you Eugene for your fast answer!

Great video! Excellent use of engaging visuals! The content was (happily) simple, reminded me of Brian Cox's book "The Quantum Universe". Really mind blowing details without mucking through the maths! Thank you!

@EugeneKhutoryansky

8 жыл бұрын

+Following Feynman, thanks. I am glad you liked my video.

nice video, being able to visualize the aether really helps me understand

I'm currently reading the book The Quantum Universe by Brian Cox and Jeff Forshaw, and I once again found my way back to this channel. It seems that what ever I try to study (provided it is math or physics) always leads me here. So thank you again for another great video. And it is amazing that you were able to animate arguably one of the most complicated phenomenon to visualize in all of physics so intuitively.

@EugeneKhutoryansky

7 жыл бұрын

Thanks for the compliment.

5 years since I took my first physics course in high school and I only finally understand the significance of the shapes of orbitals and their relationship to wave functions. Thank you!

@EugeneKhutoryansky

8 жыл бұрын

+Rizwan Awan (TheOnlyRizzy), Glad I was able to help. Thanks.

Amazing work bruv, it makes it a lot easier to visualize

I always ignored the imaginary part of wave function and just plotted and observed the real part. But, WOW, the full complex graph is amazing.

well animated and presented

thank you so much for this helpful and amazing video.

that music made me feel so relax

That was an excellent visualization on Pauli's Exclusion principle.

The best illustrations I have seen yet. steve kastl

I love your videos and explanations.

No words to praise ......incredible ........and thanks

You capture so elegantly the true understanding of Eulers formula - that the real and imaginary axis of sine and cosine waves trace out a helix in 3D space. The understanding that the probability is proportional to the square of the radius makes crystal clear sense when you see that radius sweeping out a 2-Dimensional area

@EugeneKhutoryansky

3 жыл бұрын

Thanks for the compliments about my visualization.

No more comments. And the last three minutes of video is perfectly animated . Awsome

@EugeneKhutoryansky

3 жыл бұрын

Thanks.

An awesomely clear explanation of the wave function!!!

@EugeneKhutoryansky

8 жыл бұрын

+David Caywood, thanks. I am glad you liked it.

Excellent explanations and physics animations here, *thank you!*

@EugeneKhutoryansky

7 жыл бұрын

Thanks for the compliment.

This is the best video i have known for quantum mechanics!!! thank you so much

@EugeneKhutoryansky

6 жыл бұрын

Glad you liked my video that much. Thanks.

You explain this in a simple way. Great job

@EugeneKhutoryansky

8 жыл бұрын

+Rizki Tio, thanks. I am glad you liked my explanation.

the wholeness of that mathematical function at 4:55 is so beautiful, when observed on a semi-controlled environment.

Very nice visualization. Wavefunction, as I understand, is extremely difficult to imagine and impossible to observe with experiments. But your video helped me to imagine with big WOW how the electron could be orbiting the nucleus in different orbitals. Thanks for this wonderful work.

Magnificent video, finally I think I understand the physical explanation behind the Heisenberg uncertainty principle.

@EugeneKhutoryansky

7 жыл бұрын

Thanks, and I am glad to hear that my video was helpful.

This video really helped me...Thank you 🌷

Awesome visualizations! Subscribed.

@EugeneKhutoryansky

4 жыл бұрын

Thanks. Glad you have you as a subscriber.

Amazing channel... Very intuitive illustrations.

@EugeneKhutoryansky

5 жыл бұрын

Thanks for the compliment.

Huge thumbs up! This answered a question I've had since engineering school about the orbits of electrons and why they exist in "shells".

@EugeneKhutoryansky

7 жыл бұрын

Thanks. Glad I was able to help answer your question.

Loved it ❤️ Thank you for your video 👍

This is the best quantum mechanics video in KZread by far

@EugeneKhutoryansky

6 жыл бұрын

Thanks for that really great compliment.

Amazing ! I follow and go look at every other videos !

Wonderful, im more a visual thinker, not really a mathematician as such and love your videos helps a lot. Gives me a better handle on the maths. All the best

كم من مرة سأشكركم على هذه الفيديوهات !!

This is an amazing video. Having the visualization of the wave function really helps to verify or correct what a person imagines as they are studying this stuff.

@EugeneKhutoryansky

9 ай бұрын

Thanks for the compliments about my video.

Thank U very much!!! You are so smart!!! Your videos are helpful and can give exact understanding!!! Hello from Kazakhstan!!!

Those videos are amazing, never stop making them!! You are at top 10 people i would like to meet in person!

@EugeneKhutoryansky

8 жыл бұрын

+Marko Stojiljkovic, thanks for that really great compliment. Lots more videos are on their way.

Very nice explanations and good animations!

@EugeneKhutoryansky

8 жыл бұрын

+Александр Князев, thanks. Glad you liked it.

Quantum is one of the toughest thing to understand or visualize.... You nailed it

Very helpful video Eugene 🙌, amazing !! keep it up 👍

@EugeneKhutoryansky

4 ай бұрын

Thanks.

Keep up the great work!