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Huhnkie Lee
  • 5/5/2025
mathematics, carpentry and philosophy
Transcript
00:00:00Hello friends, welcome to Friday and I Love Hercule episode 206.3.
00:00:08Sorry about the messy hair, but it's lazy. We can't lazy someday.
00:00:13But not so lazy actually. We're working very hard.
00:00:17I did some carpentry.
00:00:19I bought two vices to fix that door hinge to drill holes.
00:00:29I'll show you some pictures, okay? Yeah, it worked.
00:00:34Each vices something like $33.
00:00:38So that's affordable. I bought two of them.
00:00:42That one done.
00:00:49Okay, let's do some stretching.
00:00:56Oh yeah.
00:01:04I had a small cut on my finger. Very small. Just, you know, scratch level. Very small cut.
00:01:10It did bleed a little bit. Because after I drilled the hole, that part, the hole that's already drilled, still sharp.
00:01:21Yeah, next time be more careful. Just scratch, just a little bit. Okay? Yeah. No problem.
00:01:27Okay. So, let's do stretching.
00:01:42Oh yeah.
00:01:43Yeah.
00:01:44Yeah.
00:01:45After the previous show, I ended up watching Twilight Zone series. Yeah. Interesting. Yeah.
00:01:59Oh yeah.
00:02:00Oh yeah.
00:02:02Oh yeah.
00:02:04Oh yeah.
00:02:06Oh yeah.
00:02:08Oh yeah.
00:02:09Oh yeah.
00:02:10Oh yeah.
00:02:11Oh yeah.
00:02:12Oh yeah.
00:02:13Oh yeah.
00:02:14Oh yeah.
00:02:15Oh yeah.
00:02:16Oh yeah.
00:02:17Oh yeah.
00:02:18Oh yeah.
00:02:19Oh yeah.
00:02:20Oh yeah.
00:02:21Oh yeah.
00:02:22Oh yeah.
00:02:23Oh yeah.
00:02:24Oh yeah.
00:02:25Oh yeah.
00:02:26Oh yeah. Oh yeah.
00:03:56Yeah, it's stressing, but good exercise there.
00:03:58Thank you, Carl.
00:04:58Yeah, two numbness, 95% healed.
00:05:11Okay, good.
00:05:16Okay.
00:05:17Phasor exercise.
00:05:18Guys, to rotation.
00:05:42Oh.
00:06:18Okay, now, let's do front push kick, okay?
00:06:42All right.
00:06:50Okay.
00:06:51Watch your arms.
00:06:52Good.
00:06:53Yeah, five minutes.
00:06:56Nice.
00:06:58Okay.
00:07:10Okay.
00:07:14Okay.
00:07:24Okay.
00:07:26Okay.
00:07:28Okay.
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00:07:36Okay.
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00:07:52Okay.
00:07:54Okay.
00:07:56Okay.
00:07:58Okay.
00:08:00Okay.
00:14:02Yeah, the proof of co-prime sub-obtraction theorem.
00:14:08Let me talk to you.
00:14:38So, co-prime sub-obtraction theorem.
00:14:48For now, it will be easy to prove, okay?
00:14:54So, it will be very similar to co-prime audition theorem.
00:14:58So, this room should be enough, okay?
00:15:05Prove, if a and b are co-primes, yeah, assume a is bigger than b, okay?
00:15:16Okay?
00:15:22An, a minus b, okay?
00:15:24An, a minus b, also co-prime, okay?
00:15:27All right, so, here's, okay, so, so, yeah, so, yeah, so here's the logic, yeah, so here's proof.
00:15:34Yeah, first-order logic, yeah, we'll prove the contrapositive, okay?
00:15:41uh proof by contradiction okay? Assume
00:15:56that a and a minus b are known co-primes okay so
00:16:01okay then you must have they must have common factor okay so we call it alpha
00:16:22alpha times x this a b over a minus b
00:16:32alpha times y okay
00:16:37they are known co-primes so they have common multiplicative factor okay which is alpha
00:16:43now
00:16:52we subtract them okay
00:16:53yeah
00:16:58then b is equal to
00:17:06alpha times
00:17:07a and b
00:17:20they have co-factors which is alpha a alpha times x
00:17:24times x
00:17:25b uh alpha times x minus y
00:17:30okay
00:17:33so that means
00:17:35because they have common factor
00:17:37a and b
00:17:42they are known co-primes
00:17:45okay
00:17:47so we proved uh contra positive
00:17:50this is largely equivalent equivalent to the original uh conditional proposition okay
00:18:01q
00:18:01e
00:18:04t
00:18:06that's the proof
00:18:08okay
00:18:10yeah so we proved it okay nice
00:18:12now
00:18:20proposition logic
00:18:24i bring this close to you okay so uh
00:18:25so uh
00:18:35p if p
00:18:37then q
00:18:40uh this is logically equivalent to is counter positive okay
00:18:43okay
00:18:44if not q
00:18:47then
00:18:49not p
00:18:51okay
00:18:51okay
00:18:53the uh
00:18:53equivalent to
00:18:54okay
00:19:03and then it's negation
00:19:07not p
00:19:09if not p
00:19:11then not q
00:19:13okay
00:19:14and this is logical equivalent to is contra positive
00:19:18if q
00:19:21then p
00:19:23okay
00:19:28now next step
00:19:30prove
00:19:35if
00:19:35prove
00:19:43if a and b
00:19:46are non-co-primes
00:19:52then
00:19:56a
00:20:00and a plus b
00:20:01there are non-co-primes
00:20:07okay
00:20:09they'll be very easy to prove okay
00:20:19that would be my guess okay
00:20:21so yeah
00:20:21if you want to prove this
00:20:23go for it okay
00:20:23yeah
00:20:25okay
00:20:31if a and b are non-co-primes
00:20:33then a and a plus b
00:20:35they are non-co-primes either
00:20:37okay
00:20:39if you want to prove this
00:20:40okay
00:20:40go for it
00:20:41yep
00:20:43five minutes break
00:20:45click
00:20:53yeah
00:20:54yeah
00:20:54thank you
00:20:54yep
00:20:57nice
00:20:58okay
00:21:02no
00:21:04no
00:21:06yeah
00:21:07i
00:21:07i
00:21:07yeah
00:21:07so
00:21:08again
00:21:08that's
00:21:09something
00:21:09i
00:21:09please
00:21:10yeah
00:21:11if we êtes
00:21:12d
00:21:14yep
00:21:15ts
00:21:16yeah
00:21:16nope
00:21:17i
00:21:18it
00:21:18yeah
00:21:19oh
00:21:19no
00:21:20yeah
00:21:20that's
00:21:20yeah
00:21:21yeah
00:21:22and
00:21:22yeah
00:21:23yeah
00:21:23yes
00:21:24yeah
00:21:25well
00:21:25yeah
00:21:25yeah
00:21:25did
00:21:26me
00:21:26but
00:23:57A minus b, also a minus b, they are no co-primes either.
00:24:01Okay, so if you want to prove that, go for it, okay?
00:27:43Yeah, you see the new drill hole, right?
00:27:46Yeah.
00:27:50Yeah.
00:27:53Yeah, nice.
00:28:01That's that.
00:28:03Hey.
00:28:13Yeah, now let's get back to mathematics. Let's prove this real quick. Very easy proof. Okay.
00:28:35And now you say co-prime audition subtraction theorem is bidirectional. Okay. It's something very powerful. Okay.
00:28:48Here's the proof.
00:28:49Here's the proof.
00:28:57And we are non-co-prime, so a is equal to alpha times x and b is equal to alpha times y.
00:29:10So a plus minus b is equal to alpha times x plus minus y.
00:29:24Okay. Therefore a plus minus b is a factor of alpha and a also has factor of alpha.
00:29:37Therefore a and a plus minus b, they have common factor of alpha. That's why they are non-co-primes.
00:29:46Okay. Yeah.
00:29:48Q, e, d.
00:29:51Okay. Yeah.
00:29:53So what does all mean?
00:29:54Yeah, not p, then not q. Okay. It's just same as if q, then p. Okay.
00:30:10So we prove that. So that means if a and b are non-co-primes, then a and b are non-co-primes.
00:30:17Then a and a plus minus b, they are non-co-primes. Okay. And we also prove the contrapositive of that. So, I mean, the reverse of that. Okay. So kind of indirectly. Okay. So yeah, it's bidirectional.
00:30:38If a and a plus minus b are non-co-primes, then a and b, they are also non-co-primes. It goes both ways. Okay. Good.
00:30:52Okay. Good.
00:30:55Oh, yeah.
00:31:03Oh.
00:31:12Okay. Nice.
00:31:14Yeah, we have been the foundation of this co-prime number theory.
00:31:19This is great progress. Okay. Yeah.
00:31:37Very important tool. Handy. Like carpentry. Okay. I bought this tools after tools like vise, two vices.
00:31:50It comes in handy. You know, to drill a hole in the door hinge. Okay.
00:31:55And door hinge is a tool and a sheet metal. All these tools coming together. Okay. Yeah. Materials. Yeah. Cheers. Yeah.
00:32:10So, similarity between carpentry and mathematics. Okay. Nice. Welcome to human energy school. Okay.
00:32:15It's like this. What is metaphysics and philosophy?
00:32:24We'll talk about that. Okay. Let's take five minutes break. Okay.
00:32:29Feel free to look it up in the internet. Okay. Metaphysics. In philosophy. Okay. We briefly talked about it like yesterday, right? Yeah.
00:32:42Sure.
00:32:43Yeah, like Greek metaphysics and Hollywood movies. Okay.
00:32:51Okay.
00:32:53Yeah. Five minutes. Thank you.
00:32:56Uh, co-prime audition subtraction theorem. Okay. We proved that. It's bidirectional, which is very powerful. Okay. Nice.
00:33:05Yeah. Five minutes. Thank you.
00:36:09For this episode, okay, so.
00:36:14Yeah, metaphysics is kind of like grid world horizon.
00:36:20Meta means like above and beyond.
00:36:21Like, okay, so yeah, metaphysics is about like, we have physics and metaphysics, above and
00:36:30beyond physics, okay, so.
00:36:31It's like underlying principle, okay, so that's more universal, generic, okay?
00:36:38Okay, like gravitation.
00:36:39Like gravitation, we have this apple falling from the branch of the tree to the ground, okay?
00:36:47Yeah, gravitation.
00:36:48That's one example of gravitation, universal gravitation, okay?
00:36:52Okay.
00:36:53So, so, apple falling down from the tree, physics.
00:37:00Metaphysics, that's more generalization, more universal principle, that's like low gravitation, universal gravitation, okay?
00:37:11Okay, like the planet, like the planet, like the moon, like the moon reviving around the star, sun, or satellite, like moon, reviving around the planet, earth, okay?
00:37:23Yeah, same principle as gravitation, like apple falling to the ground, okay?
00:37:31So, that's physics versus metaphysics, okay, okay, yeah, yeah, cheers.
00:37:45So in carpentry, you know, you have bolts and nuts, right, physics, like action, reaction,
00:37:52Newtonian, low motion, okay, so when you tighten the bolts and nuts together, then it kind of
00:38:01bounce back, action, reaction, okay, and that cog, bolts and nuts, okay, it has this tension, friction, push and
00:38:14bouncing back, okay, so that's what joins them together, is the friction, okay, action, reaction,
00:38:25you tighten them, okay, then all these cogs, so many of them, bolts and nuts, okay, they are pushing against each other, create that friction, okay, so that's what binds them together.
00:38:39In carpentry, okay, yeah, it's physics, okay.
00:38:46Yeah, but adhesive, like super glue, that's more like chemical, chemistry, it's like covalent bonding, chemistry, okay, more molecular level, okay, yeah.
00:39:11Okay, but when it comes to strength, that chemical binding, like adhesive, super glue, is not as strong as physical bonding, like bolts and nuts, that's a lot stronger, okay, yeah, force, okay.
00:39:38Okay, but there comes in handy in different contexts and situations, circumstances, okay.
00:39:45Okay.
00:39:46Okay.
00:39:47Yeah.
00:39:48Okay.
00:39:49Yeah.
00:39:50Okay.
00:39:51Time check.
00:39:52It's been less than one hour.
00:39:53Okay.
00:39:54Okay.
00:39:55Okay.
00:39:56Okay.
00:39:57Okay.
00:39:58Okay.
00:39:59Okay.
00:40:00Okay.
00:40:01Okay.
00:40:02Okay.
00:40:03Okay.
00:40:04Okay.
00:40:05Okay.
00:40:06Okay.
00:40:07Okay.
00:40:15Yeah.
00:40:27What I'm going to have for dinner, yeah, frozen chicken breast and tilapia fish.
00:40:34Let me start cooking it. I'm going to boil it in the water, in the microwave, plastic jar.
00:41:04I'm going to boil it in the water.
00:41:34I'm going to boil it in the water.
00:42:04I'm going to boil it in the water.
00:42:34I'm going to boil it in the water.
00:43:04I'm going to boil it in the water.
00:43:34I'm going to boil it in the water.
00:43:36I'm going to boil it in the water.
00:43:40So I have two small pieces of chicken breast and tilapia fish and frozen corn, double frozen.
00:44:01Okay, so I put some water, plastic jar, microwave, water bowl.
00:44:05Okay.
00:44:11Okay.
00:44:43Okay, two minutes break, thank you.
00:52:12Okay, cool.
00:54:12Yeah.
00:56:12Yeah, it's very nicely cooked.
01:00:42So,
01:02:12Okay, yeah.
01:03:12I tend to drink a lot. Not in moderation, okay? I drink like strong liquor, like vodka.
01:03:25And they taste so great when putting the Alaskan edible plants, like Alaskan ginseng bark,
01:03:38Vodka in there and rose heaps, Alaskan rose heaps, Alaskan high cranberries.
01:03:45Put in vodka. Oh my goodness, it just tastes so good. That's why I drank so much.
01:03:53Okay. But I'm over it, okay? It's not like I'm having craving of alcohol. No, not really.
01:04:08I have a good time drinking alcohol in the past. To me, that's good enough.
01:04:15Now let me check out my dinner, okay? I think it's pretty good.
01:04:38Okay.
01:04:49Okay.
01:05:08Yeah, my dinner is fully cooked. That's good. Yeah, so. Cheers.
01:05:35Okay. Time check. It's been more than one hour, okay? Yeah.
01:05:50So it's been good experience, like in the past, drinking alcohol. Yeah, but I don't need to go back there, okay?
01:06:09Because I'm old. I'm 46. And yeah, I don't really need that intoxication, okay? Because I enjoyed it in the past.
01:06:21And it did help in mathematics and also stream show. Yeah. Like live show. Yeah, it helped.
01:06:28They all record it, published. Yeah, it's good. But the thing is, drinking alcohol is like, it's too heavy.
01:06:37When I'm drunk in the past, when I was drunk, it feels very heavy. I'm too old for that. Okay? Yeah.
01:06:49When I'm sober, it's light. It's not heavy. Okay? Yeah. So. I guess I'm too old to drink alcohol. Okay? So. Yeah.
01:07:01Just lightweight, sober, sobriety. Yeah. Yeah.
01:07:07Because when I was young, when I was a child, I didn't drink alcohol. Okay? Yeah.
01:07:14Getting back to nature, more natural state of mind, I guess. Yeah.
01:07:21Okay.
01:07:25Yeah.
01:07:28Mm-hmm.
01:07:34Okay.
01:07:36What would I watch after the show tonight?
01:07:50Most likely Twilight Zone, okay? So, yeah.
01:07:53Season four is nice because each episode is almost like one hour long. Okay?
01:07:59Yeah, it's like a movie.
01:08:03Nice.
01:08:04Yeah.
01:08:05Yeah.
01:08:10Other season in Twilight Zone series is like 30 minutes. Okay? So, season four, almost like one hour each. Okay? So, nice.
01:08:19Yeah.
01:08:23Okay.
01:08:25Yeah, my dinner is ready. So, I'm gonna watch Twilight Zone episode and eat dinner and, uh,
01:08:32then go to bed. Okay? Yeah.
01:08:37See you tomorrow. Okay? Thank you.
01:08:39Yeah. Happy Sunday evening. Nice. Yeah.
01:08:43Oh, yeah.
01:08:44Hi, Vibfish.
01:08:49Okay.
01:08:59Yeah.
01:09:00Here's the fucking-
01:09:03Yeah.