Our Thermal Epoxy vs Store-bought
ฝัง
- เผยแพร่เมื่อ 31 พ.ค. 2024
- We blend dendritic copper, graphene and micro diamond into epoxy to produce a thermally conductive adhesive. You can purchase the premixed epoxy at our website www.techingredients.com/shop
Thermal Epoxy (low viscosity infusion resin) formula using 3:1 epoxy
8:6:2:1
8g of epoxy
6g of dendritic copper
2g of graphene
1g of diamond
Ingredient sources:
Copper powder: Novamet Specialty Products, dendritic copper powder Lebanon, TN USA
2,000 grit diamond powder: TechDiamondTools.com, eBay store
Graphene: 5-10 layer powder from Ledmarket1997, eBay store
Find us on Patreon - / techingredients
and our website www.techingredients.com/ - วิทยาศาสตร์และเทคโนโลยี
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Why is it impossible to half-watch his videos? There must be secret ingredient to it!! A secret obvious to one third million subscribers of the channel :-)
You mean like half watch a Brad Pitt movie? I don't know...
There is a secret ingredient and it is called Common Knowledge or Science, lol .
@@TechIngredients lookin good!
@@TechIngredients Something that locks one's ears, eyes, and attention to the screen to the end preventing from skip-forwarding or X1.5 faster-play.
You are not only a great researcher, designer, maker/builder but an excellent presenter as well!
A small possibility is that you are faking it all being the front face of a genius, namely your son faking the camera-man :-)
Thank'$ for the great info!
If you were! In charge; some of us`could be watching your show from space* 100%+
Father of the son of the main presenter:
>Made a formula that beats multi million dollars company product
>Share it in the video description
Mohamed Samir these materials are dead easy to formulate. I few days of lab time is all it would take.
@Khaffit So what? This formula is available and better. Arctic now has to do better.
You’re into the most awesome things, sound systems, light epoxy reinforced balsa wood, magnetic fields, bullet proof armour... the list goes on. You’re a genius
He could be a legit secret agent outfitter Q style from James Bond not only could he pull it of technically but camera wise too.
Your ability to convey with clarity a multitude of subject matter paired with meticulous craftsmanship is remarkable. I am completely captivated with this channel. Thanks for sharing your gift.
For those coming from Linus's video and wondering about the results, remember this is thermal EPOXY, not thermal PASTE. Paste works better thermally but is not adhesive. If you need an adhesive that's thermally conductive you get an epoxy. So of course if you pit it against any average paste it won't beat it. Linus even mentioned it in his video that he didn't compare this to other thermal apoxys. This stuff ISN'T meant for CPUs. Even if it did outperform paste, permanently affixing your cooler to your CPU isn't a good idea.
Yes, so? The way he used it is still counter to how the epoxy should be used and his measurements are very inaccurate by the nature of the components he used. (The resistors are anything but equal - the placement of the resistive wire inside the body can vary quite a bit and measuring surface-temperature on a component you do not know the physical makeup of....
@@ABaumstumpf Resistance is the defining factor of a resistor, the placement does not matter. Since resistors with the exact same resistance will produce the same heat under the same voltages. As long his way of measuring is consistent, which seems to be the case here, there's not that much of a problem
@@ABaumstumpf wire wrap resistors are pretty consistent in terms of surface temps. The entire point of having the large aluminum block is to all but eliminate possible hotspots. Given the nature of the test in question I think it's more than adequate. Any potential variations in surface temperature due to resistor construction would be no more than one or two tenths of a degree, and basically fall under margin-of-error for the kind of temperature differences displayed here.
@@wtechboy18 "wire wrap resistors are pretty consistent in terms of surface temps."
??? XD
No really. They are consistent in their resistance, but their placement inside the casing can vary quite a bit and thus the temperature at each side.
Having the center shifted just half a Millimeter can have rather large differences. Not margin of Error but rather 5°C easily.
@@ABaumstumpf As a layman I am sure that this will go above and beyond my requirements.
The quality of this channel is so high, I'm starting to feel morally compelled to financially support it.
Yeah, I never Patreon things, but joined theirs the other week
The question for me was "Is exposure and access to this caliber of investigation, presentation, and explanation 'seasoning' the quality of my personhood with a value equivalent to $2 a month?"
@muinaiset Outstanding value analysis! Imagine the value if we can tell friends and family to do the same! Don't know what percentage patreon takes, but even at 10% if we could raise awareness enough to get their patreons to even 50k @$2/mo would yield $90k/month!!! Just imagine the amazing quality and QUANTITY videos they could share!! It'd be like getting an MIT level education for PENNIES A DAY! Think about that & tell friends! :-):-):-)
Yes. I made my best vibration speaker because of this guy and this channel. I would rank them to 1k€ category and it just costed me something like 300€ of two speakers and subwoofers.. I used different materials but got nice inspiration. There is many ways to complite the qualities :)
I know!! I get the same feeling when watching certain channels.
Tip from a knifemaker: start by trying to finish sand a piece of hardened tool steel, after that any sanding operation will seem like a breeze.
I made a knife in school and tried to give the edge a final go after hardening but it just skipped down the stone with hardly any resistance and there wasn't as much as a scratch on the edge. The teacher just laughed at my look of surprise and then taught me about tempering. It wasn't the most fantastic knife in the world, after all it was made from just some unspecified steel they had laying around and the hardening and tempering was hardly scientific, just the basic heat it till it's a deep cherry red and throw it in a water bath. Get rid of the surface oxide then heat it until it starts to look blueish (I think that was the color, it was more than 30 years ago, and my memory is not always the best anymore) and let it cool down slowly before giving it a final polish and sharpening. But hey, I was 14 or so, so to me it was fantastic, and I had a good time hammering that piece of steel into shape in the first place. There is something oddly satisfying in molding a piece of red hot steel into the desired shape with a hammer.
This was the one and only time I made a knife or tried my hand at hardening a piece of steel.
Now if this had been high quality tool steel then I guess I'd still be trying to polish that thing...
In my (very much layman's) experience, something being tedious equals not enough power tools...
Thank you so much . I’m a 61 yr old lifelong artist but I have little formal chem or engineering of heavy physics traditional training.but I’m a life long believer in observation of life, physics things, natural laws, mechanism ect .ive sky’s been a creative, curious girl, I took apart& fives many a broken transistor based or combustion based relic when they were currantish & rebuilt repaired ect by instinct , seat of pants, n hammer occasionally. I find myself always questioning how to create my ideas in today’s wealth of information when I don’t even know what tools are ACTUALLY available
You help me to cross that grand gap looking fwd to more thanks from this old artist ✌️
"Cool, I'll just have this running in the background while I finish my... uh... finish my...
... what was I doing?"
I'm looking forward to the ultrasonic cleaner video!
I am also!
And me! ...I already own one, but it has very disappointing performance. I also built my own very small one (in a tin can!) many years ago for cleaning old microphone capsules, which worked well, but only really for that one application.
Count me in on the ultrasonic cleaner!
I'm very interested, I worked with high frequency, high power ultrasound. 660khz and up to 1000 watts in a 2" piezo. We could melt plexiglass under water. Note: all work was done in a water bath. I left the company and didn't take a machine, I wish I had one. Also got to see sonoluminescence travel 18" reflect back to the other side and start back again, about a 2" tube of light.
I miss those days!
I love that this is open source thermal epoxy. Thanks for sharing the knowledge, research and testing as well as the recipe.
Sure! Go Linux...
@@TechIngredients Wish you were my pops ⚡❤️
Just got the package from Ti last week and today I used this epoxy in a preparation for initial testing for my application! It takes a while to arrive, but it's worth it. Plus, you're supporting this channel. Considering current shipping restrictions, it may be difficult for them to source all the necessary materials to keep up with demand. The price is very reasonable for what you get. This stuff is very thin viscosity and super opaque, thermally conductive, and yet electrically insulating. That's a holy grail of sorts, in the material design world. See what you can do with it. I'm preparing to file a patent thanks to this wonderful channel. : ) "There's so much room for activities!" -Step Brothers
Thanks for the comment and the review!
And, you're right about the shipping. If we had known how high the demand would be and the rather inexplicable delays due to the politics of this human malware, we would have acted like the toilet paper horders with the diamond and graphene.😛
@@TechIngredients LOL - well put. Eagerly looking forward to content on how to build that ultrasonic emulsification device - no pressure though - only when you're ready. We love ANY content from this channel. In fact, as soon as I can rationalize it, I'm upgrading to top tier on Patreon. 💪🏾
haha, way back when I was a lad, I started delving into overclocking and DIY watercooling. talking constantly to Dad about it, but mum was pretty wigged out when I took over the kitchen after dinner one night to polish my DIY waterblock. just wachin TV, grinding away. got a pretty good polish. this was for my athlon XP, so a 1cm/^2 die making 100w, you needed a very good interface. a good lapping knocked off about 5 degrees, which is really significant.
worth it. with an evaporative cooler and some agressive ram tweaks, i could clock my $150 +2200 (1.8ghz) athlon XP to over 2.5ghz, giving me a CPU faster than anything else on the market at the time. was using arctic silver
not exactly relevant, but lapping, absolutly worth your time, if your going for the bleeding edge. and its given me a lifelong appreciation of thermodynamics, managing heat. done some cool projects with theories ive learnt from that. TEC generators, distillation apparatus, refrigeration experiments. understanding heat flow is pretty handy to understand.
I love how informative your videos are.
This video alone touched on: surface quality, flatness, thermal transfer, the geometry of fine particles, techniques, vocabulary & units...and so on.
You are a standard for practical scientific explanation. Thank You!
Agree. I rarely have questions after watching his videos. He covers everything so well and in depth, all my questions get answered. Doesn't bother me a bit the videos are over 20 mins like a lot of youtubers worry about. I'd still watch an hour long video. I enjoy old electronics also and Mr Carlsons Lab videos are quite often over an hour long. Love every minute of them also.
Yes!!
I have my buddies coming over and we are going to stream this to the tv to all watch together!
Best channel on TH-cam hands down!
I'd say NERDS .... but then here I am
Thanks!
Lucky you! :D
@@mrMacMilli2000 th-cam.com/video/gZEdDMQZaCU/w-d-xo.html
@@TonyRule dude. Exactly what i was thinking
I really like that this channel always focuses on doing these things affordably, and showing you how you can do them yourself even when they could just sell them instead.
anyone notice the recording of his voice in the background.
love this channel so much. i wont ever do half of the things he teaches or does, but the detail and knowledge is so refreshing. I love his stoic demeanor as well! keep up the great work!!!
You guys are taking DIY to an entirely new level, and I'm here for it.
"With that in mind let's get cooking. "
Me: "I knew it!"
Walter White moment lol
@@maxlee6676 My wife said the same thing! hahahahaa
This man's demeanor is so soothing and his knowledge so seemingly infinite, he's almost presenting all of this in real time, no cuts to go consult any sources or a script. I am twelve minutes in and haven't quite found the answer I'm looking for but by Jove I am watching till the end and I will enjoy it.
Great!
Hope you find something useful.
Education for those that don't like or can't assimilate information from traditional institutions. Well done. THANK YOU. 👍
The award for most casual use of the term "cell disruptor" goes to...
*pulls out shotgun* this is my trusty "cell disruptor"
He could be a Romulan, which could explain superior technological prowess
I'm an engineering student, and your videos help keep me excited about science and engineering. The stuff you do is fascinating, and I appreciate the way you explain things clearly and in detail.
You have a clear and engaging teaching style, and these are the most interesting videos on TH-cam. It’s fantastic that you’re making your epoxy available online.
Great content!... Guessing he is a Chem Professor? No cuts, no "uhms," intelligent content - really refreshing! Thanks!
I have no idea what your background is, but you remind me of all of my favorite teachers and professors.. You make learning stuff SO interesting.. Thanks for making these!
It's a good example of the Feynman method, if you can teach a subject you can thoroughly understand it.
Zack G Exactly the man I was going to mention!
I'm here just to improve the algorithm, you absolutely deserve it :D
Ditto
A great watch. Somebody who is extremely intelligent that can explain science in a way that even I can understand. Thanks for a great show.
Your grammar, articulation and knowledge is refreshing. Thank you for what you do.
I can't wait for the "High efficiency fusion reactor for cheap" video.
Look up Fusors. Inertial electrostatic confinement fusion. I built one in high school.
@@theekdunn it's not able to generate power
Tech Ingredients: "...and you'll be able to do this at home."
Me: Oh cool!
Tech Ingredients: "One thing though, you will need access to either a cell disruptor or a powerful ultrasound...".
Me: ...
Some of us have cell disruptors!
starwars.fandom.com/wiki/Disruptor/Legends
i did it at home with paypal and internet and blackjack! aaahh just forget the whole thing.
Cell Disrupter.
No problem.
I got mine from Worf.
Don't worry next video should be how to make one ;)
The thing I like the most was I didn't hear "Which leave me a comment down below as to which thermal epoxy you think is best" Straight to the point as to why comments help.
half of the video i thought "how convenient it would be to just buy it from you" and at the end ... boom .. there you go. love you guys
When you home lab crushes the performances of commercial products you are doing something right!
Love this channel. Between you, Applied Science, and my Make magazine I'm never at a loss for project ideas.
I have used a large 4x3 foot mirror with the wet dry sandpaper superglued to it for resurecting gasket surfaces on my jeep water pump. Only superglue one edge of the sandpaper sheet . Then put some Dawn or similar dish washing liquid on it to prevent clogging the wet dry sandpaper. Mirror is laid horizontal. Mr. Host. In this episode you bare a resemblance to Rev. Jim from "taxi". That is a compliment!
I just love this Chanel. The diversity of the subjects makes impossible for me not to watch. There's always something to learn!
I love watching this channel. It's like taking a guided tour through a R & D department.
I can't imagine the number of hours you have devoted to this project. I am impressed. This is a wonderful video report. Thank you!
Quickly becoming my favorite tech videos! Don't stop making them EVER!
Absolutely love your channel. Every time I watch an episode I just wanna try it . Thank you guys !
This just became my favorite cooking channel.
JNBpisces and just like any good cook, “eh, that’s close enough” for measuring
Bump
As a mechanical engineer who dabbles in thermal analysis, this was super interesting and informative. Thanks for the great video!
Love the videos and the fact that you give specificities...... Keep up the awesome work!
Excellent video, love how you get down to base principles and concepts which help in validating the procedures you follow.
"Sorry, Our product is currently not available in your region"
Cheers from New Zealand
You beat me to it haha
Im in NZ too so will be keen on some of this for my large LED array i am assembling
@@LazloNQ A bit off topic, but didnt YT can the message service a year ago? I cant find that option anywhere.
Just use youshop.co.nz
What about Aramex Global Shopper?
Feel smart? Just watch this guy work his magical science projects. I take my hat off to you sir
Thank you for the interesting and informative videos you produce. I really like the magnets and the whisky making. Also the explosions, those are my favorite ones.
Thank you for the excellent show on heat sink compounds. I've always been impressed at how good a thermal insulator they are and have stresses that the thinnest layer that provides contact is the best.
I've worked with 2.5 by 5" modules that had extruded aluminium bases. We were unable to get good thermal contact with our package. Ultimately had to machine the module's base flat to 32 in and silk screened the hs compound in a pattern on the module to get thin/uniform coverage with no large voids.
25:10
“I’m going to place this as accurately as I can right in the middle, again I don’t even know that it’s necessary to be accurate, but I’m trying to keep everything that I’m doing as consistent as possible in case there is any meaning to the accuracy.”
This is a quote that stood out to me the second I heard it. The quote exemplifies that his work ethic has integrity.
So much more to say, but I think I’ll let other commenters have that opportunity :)
yah that's great 👏👏❤️
Alex Wijkowski , thats how a scientist should work. Great by example.
Me too - the lengths they go to achieve the kind of consistency that's required to harvest decent data is what really caught my attention. When rough figures are calculated, he always averages away from the best case results by a very reasonable increment. This in a time where the average American mind struggles with distinguishing between objective and subjective - it's more significant than immediately apparent.
Why I'm kinda sad to see Linustechtips make a video on it prior to GamersNexus as GamersNexus tends to be a fair bit more accurate and technical. Linus is more just an influencer who likes to hype things.
@@Skylancer727 why would steve give a shit about something so impractical? this is perfect for linus because nobody should do it but it's cool to investigate anyway
This is absolutly my favorite channel on youtube
Thanks! Sciencing things out makes me happy!
You are an incredible individual, thank you for all that you share.
I love how the example CPU is an AMD 3DNow! processor.
That's the everyman's example prop for sure.
Cheap and semi reliable... Semi.
I think it's a K6... Not sure... Certainly looked familiar!
@@juststeve5542 yeah I seen it and immediately thought of the K6
@@Robert_McGarry_Poems there's probably a reason why it's a prop now. 🤣
"Do you want to experience *true* flatness Morty?"
lul
Here for the R&M refrences
I thought of that halfway through the video haha.
lambs to the cosmic slaughter
True level
Thank you for your video, this helps to pay it forward. Your explanations make this very clear for non experts. Thank you for your time, much respect from me.
Thank you so much, and then to find you sell it ready to go is just fantastic. Best of luck in your future projects. (esp the work on Ducted Fan Jet tech)
Would love to see this as a paste also, somethings you have to take apart a few times
I was thinking this as well. I would buy some to use on CPU heat sinks. Overkill but would support the channel! Actually, if you did that and did collab with Linus or something you guys would be able to afford even more projects!
This stuff in a paste would be great for overclockers. Or anyone just wanting efficient CPU/GPU cooling.
Dunno why you say it's overkill, it seems perfectly reasonable. TBH i was expecting test results for exactly that to be shown in the video (as well as the Indium film), but i guess videos can only be so long.
@@roidroid I say that it is overkill because the testing shows that it is. What I mean is the thermal conductivity curve shoots up much sharper than the actual temperature drops on the CPU die. Diminishing returns.
I want to see Linus glue one of his processors with this stuff
It may take many months if not years for this crossover, im just gonna slap some on my CPU
@@GodKing804 be sure to video it. 😁
He will probably drop it.
I want to see Linus use Indium on a Cpu.
@@qayqay2754 One of their sponsors literally sells that...
Thank you for the documentation and explanation of your processes in the many videos I have watched.
I love every diverse gem of information provided on this channel. Also you are an amazing presenter/ lecturer. Wow.
Also, Linus Tech Tips might want to purchase this product from you, to cool all the Intel Fan Club...
I was thinking exactly this.
Exactly what I had thought!!!
Gamer's Nexus?
gamers nexus would be all about this... they'd test it and review it, and it would get used in extreme overclocking assuming he can make a compound that does well at below -100 without cracking.
Yes to this! it would be great exposure to this excellent channel
Me: Good morning, I was looking for a drawer liner with the highest frictional coefficient
Ikea employee: calls security
I work with ultrasound and said to the boss who had been in ultrasound most of his life, I think that drawer liner would make a good absorber. Reflections can be a problem and finding an absorbent material is difficult. I put it in the water, I had to squeeze all the air bubbles out, and we tries it, my boss was impressed, it was not what he expected. It's kind of a funny rubber with a cloth interior that works.
I mean't worked with, that was 15 years ago.
Um, what?
@@hobbified Without watch again, I think he mentioned Ultrasound to debubble the epoxy, and he is going to do some other ultrasound work, so I just added some info about absorbing reflections, if he ever needs it, ultrasound reflects all over.
Excellent detailed walkthrough on thermal contact. I had not thought about anything else than polishing and grease before this.
Love all these videos. This is now standard background learning in my house instead of passive radio!
My dad showed me how to linish a motorcycle cylinder head flat on a mirror when i was a little kid. Haven’t seen anyone do it again until now. So awesome
When I was young, I was amazed by Beakman's World. After an engineering degree, Tech Ingredients amazes me. Entertaining and informative AF.
F
Fantastic, I've found your channel because the banana moonshine destillation was recommended. The work you put into the videos and the knowledge you give us is fantastic. Thank you.
I just discovered your channel... Well, actually that was hours and several videos ago.
Better and better -- but this one is amazing! I've wondered about the effectiveness of thermal interface materials and methods for years. Great job! Thanks!
You have to send this stuff to Linus! He's a sucker for this type of stuff and it would be great exposure for the channel if they try it out in a video
This has to be the absolute best channel on TH-cam!
It is truly a treasure among those invested in the scientific community.
@mito You should also check out applied science. He has a great channel as well
I always enjoy learning from these videos. Thank you for your extensive efforts and scientific approach!
Came here after the LTT video. Just wanna say that I found this somewhat therapeutic to watch. It reminded me very much of my student days majoring in Material Science and Eng.
"if you have an expensive CPU, you might not want to take it over to the sandpaper"
*laughs*
"u sure mate?"
LN2 gang
@@TheBackyardChemist lapping makes such a huge difference im surprised it isn't part of the manufacturing processes for the heat spreaders!
@@TheBackyardChemist not even LN2.
I lapped my CPU as well (and delidded it to replace the TIM under the IHS) and am actually just running on a relatively simple aircooler.
Still, it did lower the temperature quite nicely (about 9 degrees delta)
Aroop Roelofs **debauer has left the chat**
I'm an expert at voiding warranties!
I’ve heard that people who are around sonar welding daily often develop certain cancers. Depending on your use you may want to develop shielding.
Thanks for the upload!
The level of detail and applied science in these projects is why we are all here. Love it.
Excellent!!! Just purchased some! Can't wait to try it out!
I'm really looking forward to a video about the ultrasound tank.
I was thinking how great you would be as the professor on a Gilligan's island reboot, but I'm pretty sure you'd have them off the island before the first commercial break.
LMAO!
How can you build several buildings, and a water supply system for indoor running water, but can't patch a hole in a boat?
With his superior construction and navigation techniques, the Minnow would have been back at port after the three hour tour.
Either that or you'd start to have people showing up to visit wonderland.
This really would work, on many levels. Maybe the rest of the cast is multi-cultural? Ginger should be Tiffany Haddish.
You guys are awesome, the knowledge and passion make the subjects so interesting.
Thanks, Mr. Heisenberg! Really cool!.
This channel improves with every new release. One of the best.
Love the content. I had no idea about the indium film, I'm going to try some out.
I couldn't tell if he was saying it was better than traditional thermal pastes or not, any idea?
I'd expect it's not, since even the best thermal pads have always been a few C worse than the best thermal pastes (and if Indium film was better they'd just be selling that instead). But hey we all come to this channel to be surprised by the unexpected, and i'd never heard of the Indium thing before now - so i'd believe anything.
@@roidroid As I understood it, the main limiting factor is the application process as it involves a lot of force as surface area increases. I would be uncomfortable applying the required forces on things like a cpu.
That being said, I would also love to see how the indium fared with the same test setup.
Thanks for one more super useful, high quality informative video. Tech Ingredients is one of my favorites TH-cam Channel.
Absolutely the best learning channel and videos! I can not stop watching...
I hope RealEngineering, This Old Tony, and AvE don’t see this - but you’re quickly becoming my favorite channel on youtube!
AvE gave a shout out to this channel 2 years back.
When he said "Let's get cooking", it really reminds me of Walter White!
Also hoping you get a hand-held gimbal soon, to improve the already excellent video quality
You are the level for which we all want to achieve, we just didn't know it existed till you. Thank you very much. Even your word assembly is crafted to precision.
I'm very grateful for your videos. It makes me a better human. Your work betters the humanity. Thank you
Just like many others have said: This channel is underrated and the quality of the videos and information is so top notch, it really is a joy to watch :D
That's very cool, waiting on the ultrasonic "cleaner".
Cool stuff!
I love the diversity of research and the thorough, yet understandable explanations :)
Your videos are great! Your precision and calmness of your explanations makes watching them so enjoyable. Keep up the good work.
Thanks!
I love how your videos have such a wide variety of useful info and yet many of your projects have common threads. I think someone should tell linus from LTT about this channel too.
I can imagine the clickbait title. Cooling a PC with NO thermal compound!!!
But Linus is annoying.
@@jeffsadowski "I'm not gonna try this although Linus might."
Hopefully on his lips....
I honestly cannot think of a worse collaboration between YT channels.
@@jeffsadowski linus has done alot of unreasonable and weird builds, epoxying a CPU to a heatsink is well within the scope of stupid
@@lancer2204 while linus himself isnt the best many of his staff would work quite well for a collaboration. I really dont see how such a collaboration would hurt anything and am honestly confused as to why you "cannot think of a worse collaboration" could you go into some more detail as to why that would be the case
cant wait for the ultrasound video!
...or the concrete speakers video
...or really any other video from you
this channel is amazing
Thanks for the safety precautions on graphene. Great video
Such a wonderful, informative, and HONEST channel.
Don't ever stop sharing, even if you lower the production quality, your knowledge, and ability to articulate complex information is simply astounding.
Thank you
N-th 🤣 Anyway I love the approach and the quality on the video. Thanks. My knowledge grows exponentially after every video 👍
Exponentially? Watch three of their videos and you will become a god.
@@BvousBrainSystems minimal
One of my favorite channels in youtube, really love the experiences, the content and the way you present it!
Thanks- excellent analysis of the problem and a beautiful solution.