- 5/25/2025
working out to find patterns
Category
🦄
CreativityTranscript
00:00:00Hello friends, welcome to Friday Night Live with Hunky Lee episode 209.2. Happy Saturday
00:00:10evening. Yeah, I did work on that mathematics problem. Yeah, the previous approach didn't
00:00:21quite pan out but I came up with alternative approach and then that sounds quite promising
00:00:27so I'll share that with you later. And yeah, did I take a nap? I don't think I quite took
00:00:35a nap. I just did mathematics on my bed and then I went out there and did some running,
00:00:42hiking near Point Mackenzie and then yeah, it was nice. Went to supermarket, bought some
00:00:51supplies. Yeah. So, some contemporary musicians like Lady Gaga, not a huge fan, not my cup
00:01:01of tea, okay, but I like, I think a couple of her songs are decent, like what, Just Dance
00:01:09and Poker Face. Yeah, I think they're decent songs but not a huge fan, not a fan at all,
00:01:18Lady Gaga. I don't, I find her quite repulsive to be honest and also I do not like her political
00:01:25stance and also I just, yeah. Yeah, not my cup of tea to say the least and also the lyrics
00:01:38in her songs is so flimsy and shallow and it's so easily written and it's quite repulsive
00:01:45in my opinion, okay, so yeah. She's kind of like Taylor Swift, sellout, right? Taylor
00:01:52Swift, she should stop wearing like swimming suit on the stage, okay? I mean, she's pretty
00:02:02much doing the similar thing as Madonna did, like wearing like swimming suit on the stage.
00:02:08Too shallow, too commercial, very cheap. Yeah, so very low class, okay? So, Taylor
00:02:16Swift, Madonna, Lady Gaga, to me, they're sellouts, okay? Yeah. Madonna, I like more
00:02:26than two of her songs, okay? But when it comes to her live performance, too cheap, too shallow,
00:02:35too flimsy, too commercial. They're like moral compromise, okay? Sellouts, okay? Yeah. Whatever.
00:02:44Now, let's do some stretching and then get back to mathematics, okay? Yeah, some comments
00:02:50about contemporary culture, that's all. All right. Stretching. Yeah, so hiking in the
00:03:09backwoods, you have to be careful because the hiking trail, I saw some shotgun trails,
00:03:15so I guess some people like shoot guns in the forest because you don't want to be hit
00:03:21by stray bullet, right? Yeah, so when you hear some gunshots, which I did, yeah, stay
00:03:27away from those places, okay? Yeah, so I heard some gunshots when I was hiking, then I heard
00:03:32some gunshots, so I came back to my parking lot, okay? Yeah. Doesn't seem to be very safe.
00:03:41In general, I do not like guns because it's a waste of money, like it does not do any exercise.
00:03:49Yeah, so what's the point, right? Yeah. What's good? Exercise, okay? That's what's good. Guns are
00:03:59also too dangerous, okay? So, yeah. Yeah, do martial arts instead, okay? And dancing.
00:04:38Okay. Now, let's do some pull-ups. Earlier today, we did leg-ups. Now, let's do pull-ups.
00:04:51Okay. Bodyweight exercise, kind of static. No. Okay. Okay. Okay. Okay. Okay. Okay. Okay.
00:05:20Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah. Ah.
00:05:48Okay.
00:06:01Okay.
00:06:06Ah.
00:06:30Ah.
00:06:38Ah.
00:06:41Ah.
00:06:46Ah.
00:06:49No.
00:06:53Shh.
00:06:58and
00:07:04second round
00:07:06Oh,
00:07:30Also,
00:07:39pretty food makes you ugly.
00:07:41Ugly food makes you pretty.
00:07:43Okay?
00:07:45It's, I mean, it's just rough.
00:07:47Rule of a thumb.
00:07:49Healthy food does not taste good.
00:07:51Unhealthy food tastes good.
00:07:53Okay?
00:07:55Yeah.
00:08:01Not always though.
00:08:02No.
00:08:05I like pumpkin seeds and
00:08:11sunflower seeds and
00:08:14Brazilian nuts
00:08:17and
00:08:20prunes
00:08:24and fig, dried fig.
00:08:28Oh, those are good food.
00:08:32Good snack, dessert, healthy
00:08:36fruits, nuts
00:08:39and they taste great, okay?
00:08:40Yeah.
00:08:43And unhealthy food, I'm talking about like sugary food like cake, cookies,
00:08:49ice creams.
00:08:51Those are unhealthy, okay?
00:08:52Yeah.
00:08:55Doughnuts, unhealthy food, okay?
00:08:59Maybe once in a blue moon, they should be fine.
00:09:04But not like all the time, okay?
00:09:05Yeah.
00:09:15But exercise,
00:09:18at least once a day, okay?
00:09:20What's like twice a day?
00:09:24Yeah.
00:09:54Okay.
00:09:57Get some water.
00:10:20Okay.
00:10:48Good.
00:11:00Okay.
00:11:01Good.
00:11:28Okay.
00:11:56Okay.
00:12:18Okay.
00:12:44Okay.
00:13:13Okay.
00:13:25Oh, more crops.
00:13:31Yeah.
00:13:39Very good.
00:13:44Awesome.
00:13:46Good exercise there.
00:13:49Yeah.
00:13:54Oh.
00:13:56Cool down stretching.
00:14:01Nice.
00:14:03Okay, five minutes break, please.
00:14:07Nice.
00:14:11Oh.
00:14:24Okay.
00:14:28Aha.
00:14:34Oh.
00:15:02Okay.
00:15:31Oh, okay.
00:16:02Okay.
00:16:10Okay.
00:16:16Okay.
00:16:23Okay.
00:16:32Okay.
00:16:42Okay.
00:17:11Okay.
00:17:40Okay.
00:17:41Okay.
00:17:42Okay.
00:17:43Okay.
00:17:44Okay.
00:17:45Okay.
00:17:46Okay.
00:17:47Okay.
00:17:48Okay.
00:17:49Okay.
00:17:50Okay.
00:17:51Okay.
00:17:52Okay.
00:17:53Okay.
00:17:54Okay.
00:17:55Okay.
00:17:56Okay.
00:17:57Okay.
00:17:58Okay.
00:17:59Okay.
00:18:00Okay.
00:18:01Okay.
00:18:02Okay.
00:18:03Okay.
00:18:04Okay.
00:18:05Okay.
00:18:06Okay.
00:18:07Okay.
00:18:08Okay.
00:18:09Okay.
00:18:11Okay.
00:18:13Okay.
00:18:15Okay.
00:18:17Okay.
00:18:19Okay.
00:18:21Okay.
00:18:23Okay.
00:18:25Okay.
00:18:27Okay.
00:18:29Okay.
00:18:31Let me grab some wipe or to erase.
00:18:38All right.
00:18:42Yeah.
00:18:46Oh.
00:18:50Okay.
00:18:54Ah.
00:18:58There we go.
00:19:03There we go.
00:19:06Cool.
00:19:16Ah.
00:19:40Yeah, I'm going to erase this one, okay?
00:19:42Before I erase, let's record this.
00:19:48No?
00:19:50Ah.
00:19:54Basically, like, previous approach, I guess.
00:19:56I mean, formal approach.
00:19:59About half a year ago.
00:20:04So I'm in a very ideal place to study mathematics.
00:20:07Yeah, I'm in Alaska.
00:20:10Modern is like running water, electricity, internet, cell phone, reception.
00:20:17But no destruction.
00:20:21I mean, no distraction, rather.
00:20:25Peaceful, quiet.
00:20:27Oh, yeah.
00:20:29No?
00:20:31Yeah.
00:20:34Very nice.
00:20:36Yep, peaceful.
00:20:38Nope.
00:21:06No.
00:21:15We are doing the linear equation.
00:21:20I worked out some examples in my bedroom on my bed.
00:21:26After the last show, and then, yeah, I found some periodic study.
00:21:32And also one-to-one correspondence.
00:21:35Welcome to number seven, okay?
00:21:37Yeah, cheers.
00:21:38Now we'll do number 11, okay?
00:21:39Yeah.
00:21:44Okay.
00:21:46Ah.
00:21:54What do I mean is this, okay?
00:21:57So...
00:22:06We're going to have 11 of this, okay?
00:22:08Yeah.
00:22:10So I'm going to have to write in small font, okay?
00:22:21First, 11x plus y is equal to 1.
00:22:29Okay?
00:22:34Then we do row 11, right?
00:22:38Y is equal to 1.
00:22:42Row 11.
00:22:45So y is equal to 11k plus 1.
00:22:51x is equal to minus k plus 0, okay?
00:23:04Now, next.
00:23:07So basically we fix 11, okay?
00:23:09And then we vary the coefficient y from 0, ignore 0, okay?
00:23:17So 1, 2, all the way to 10.
00:23:19Okay? Yeah.
00:23:21So there will be 10 of this.
00:23:3011x plus 2y is equal to 1.
00:23:35Same thing.
00:23:402y is equal to 1.
00:23:43Row 11.
00:23:50We add 11 here.
00:23:54On the right side, then y is equal to...
00:23:582y is equal to 12, y is equal to 6.
00:24:01So y is equal to 11k plus 6.
00:24:09And x is equal to...
00:24:13So minus 2y, right?
00:24:25Next one.
00:24:3211x plus 3y is equal to 1.
00:24:373y is equal to 1.
00:24:40Row 11.
00:24:46If you add 11, it becomes 12.
00:24:50y is equal to 4.
00:24:55So y is equal to 11k plus 4.
00:25:01x is equal to...
00:25:09minus 3k
00:25:15minus 1.
00:25:27Okay.
00:25:35Okay.
00:25:43We add 11.
00:25:51Okay.
00:25:52y is equal to 3.
00:25:54y is equal to 11k plus 3.
00:26:00x is equal to minus 4k.
00:26:04Yeah, 4 comes from here, okay?
00:26:06You just put minus there.
00:26:08So minus 4k.
00:26:11Minus 1.
00:26:13Mm-hmm.
00:26:21We did 1, 2, 3, 4.
00:26:24Okay?
00:26:25Now let's take 5 minutes break.
00:26:26If you want to finish the rest, go for it.
00:26:28If you want to.
00:26:29Okay?
00:26:30All right.
00:26:315 minutes break.
00:26:33Okay.
00:26:39What do I mean by one-to-one correspondence?
00:26:42We are using number 11, okay?
00:26:44And here, alpha.
00:26:50Alpha is so far.
00:26:511, 6, 4, 3.
00:26:54Okay?
00:26:56And my guess is that the number alpha here, like plus alpha, the number from 0 to 10, yeah, it will be one of them like occurring once.
00:27:12So it will be like one-to-one correspondence, okay?
00:27:14Yeah.
00:27:15I feel that I worked out the example that here number 8 is 7.
00:27:22Now we are doing number 11, okay?
00:27:24Yeah.
00:27:25Okay.
00:27:265 minutes break.
00:27:46Okay.
00:29:34Okay.
00:29:35Let's continue.
00:29:40That was the rest of it.
00:30:10Thank you very much.
00:30:40Let's have a small break from mathematics.
00:31:05Yeah, the Nike missile site, there are a lot of web pages chronicling the history of the soldiers stationed there.
00:31:13Many different Nike missile sites back in the 50s, 60s, 70s, Cold War era, all around the world, including Korea as well.
00:31:24Alaska, Korea, Europe, Germany, Italy.
00:31:30Yeah, and for soldiers stationed in Alaska, Nike site, there are five missile sites, five of them in Fairbanks, three of them in Matsu, I mean, one of them Matsu Valley, two of them in Anchorage, okay?
00:31:48So total eight in Alaska.
00:31:50So yeah, and they have winter training, like to weather out the storm, like in the snow cave.
00:31:57Nice.
00:31:58Yeah.
00:32:00So I'm kind of like weathering this storm of unemployment, okay?
00:32:06Yeah, it will pass, okay?
00:32:09Yeah, I'm not concerned at all.
00:32:11Just saving money, that's all.
00:32:13Doing mathematics.
00:32:14Cheers.
00:32:15Yeah.
00:32:19Kind of like staying in a snow cave, winter storm, okay?
00:32:24Kind of like that, yes.
00:32:25Also, I had a nice dream a couple of nights ago, like flying in the sky.
00:32:31In that dream, I flew higher than, there are some other people flying too, okay?
00:32:35But I flew higher than they did, okay?
00:32:38I landed in Southeastern America, maybe some Georgia, I guess.
00:32:48I landed on a college campus.
00:32:50It was nice, okay?
00:32:52Yeah.
00:32:53Interesting dream.
00:32:56Yeah.
00:32:57I like flying things, okay?
00:32:58Yeah.
00:33:00Well, let's continue.
00:33:0411x plus 5y is equal to 1.
00:33:105y is equal to 1.
00:33:13Rho 11.
00:33:181 plus, yeah, multiple of 11 being multiple of 5.
00:33:26Yeah, 44, right?
00:33:27Yeah.
00:33:3245, so y equals to 9.
00:33:35So y is equal to 11k plus 9.
00:33:42x is equal to, here, 5, so minus 5k comes from here.
00:33:58Minus 4.
00:33:59Okay.
00:34:20Hmm?
00:34:33We are just at 11, right?
00:34:35So become 12.
00:34:37y is equal to 2.
00:34:4011k plus 2.
00:34:43x is equal to?
00:34:47Okay.
00:34:48Minus 6k.
00:34:53Minus 1.
00:35:00Hmm?
00:35:17Okay.
00:35:2233 plus 1, yes.
00:35:25No.
00:35:2734, no.
00:35:2933.
00:35:3144.
00:35:3355, yes, 55.
00:35:3656.
00:35:38y is equal to 8.
00:35:46Mm-hmm.
00:36:10Okay.
00:36:18Okay.
00:36:33Yeah.
00:36:3655.
00:36:3856.
00:36:41y equals to 7.
00:36:457, so y is equal to 11k plus 7.
00:36:54x is equal to?
00:36:56Minus 8k.
00:37:02Minus 5.
00:37:06Is it symmetric?
00:37:08Maybe a little bit, we'll see.
00:37:26Mm-hmm.
00:37:4044, okay?
00:37:41So y is equal to 5.
00:37:4611k plus 5.
00:37:49x is equal to?
00:37:55Minus 9k.
00:38:00Minus 4.
00:38:05Okay, barely fits.
00:38:0910y.
00:38:25Okay.
00:38:3899 plus 1, okay.
00:38:41So y is equal to?
00:39:0311 times 9, okay?
00:39:06And 99 plus 1 is equal to 100.
00:39:15y is equal to 10.
00:39:17y is equal to 11k plus 10.
00:39:23x is equal to?
00:39:27Minus 10k?
00:39:36Minus 9, okay?
00:39:39Now, let's summarize.
00:39:49We have ax plus by, okay?
00:39:52When b is?
00:39:561, 2, 3, 4.
00:40:031 to 10, okay?
00:40:06And then we have alpha.
00:40:13So we have ak plus alpha, okay?
00:40:15So 1, 6, 4, 3.
00:40:259, 2, 8, 7.
00:40:385, 10.
00:40:44Beta.
00:40:500, minus 1, minus 1, minus 1.
00:41:01Minus 4, minus 1.
00:41:06Minus 5, minus 5.
00:41:11Minus 4, minus 9.
00:41:15Okay?
00:41:16For beta, it repeats themselves.
00:41:20And for alpha, it's one-to-one correspondence, okay?
00:41:25Meaning between 1 and 10, the number occurs only once.
00:41:33And they're also symmetric as well.
00:41:35Here, 1 and 10.
00:41:376 and 5.
00:41:384 and 7.
00:41:403 and 8.
00:41:42And 2 and 9.
00:41:44They add up to 11.
00:41:46So they are symmetric, okay?
00:41:48So there's some symmetries in there.
00:41:50Nice, okay?
00:41:53So it kind of sounds as to us that there should be a formula to find alpha.
00:42:00Once we find formula for alpha, yeah, then we can plug that in in order to find the formula for beta.
00:42:07Okay?
00:42:08So this is strong indication that there exists a formula to find alpha, okay?
00:42:13So and now let's take 5 minutes break, okay?
00:42:17Yeah.
00:42:18And this is good.
00:42:23This is good, okay?
00:42:24Yeah, it looks good.
00:42:25Okay.
00:42:26Cheers.
00:42:31All right.
00:42:32Yeah, 5 minutes break.
00:42:33Okay, thank you.
00:42:39And yeah, we want to find that formula, okay?
00:42:43So that's the goal here.
00:42:46Okay, 5 minutes, thank you.
00:42:50Time check.
00:42:57It's been less than one hour.
00:43:02Okay.
00:43:09Bye.
00:43:39Bye.
00:44:09Bye.
00:44:39Bye.
00:45:09Bye.
00:45:39Bye.
00:46:09Bye.
00:46:40Okay.
00:46:46Yeah.
00:46:49So let's see.
00:46:54Yeah, during the break I went to bed, my bedroom and look at the note.
00:47:00So this is when, this is case where a is equal to 11, a is plus by, okay?
00:47:14When a is 7, alpha becomes 1, 4, 5, 2, 3, 6.
00:47:28Okay?
00:47:29Again, it is like symmetric, 1 plus 6, 7, 4 plus 3, 7, 5 plus 2, 7, okay?
00:47:41They are symmetric.
00:47:49Now, let's see if we can recognize some pattern here.
00:48:07They are symmetric, so we only need to look at one half of that.
00:48:32Okay.
00:48:40Okay.
00:48:48Okay.
00:48:56Okay.
00:49:05Okay.
00:49:13I don't see any pattern, okay?
00:49:14So what we're going to do, yeah, now let's work out number 5, when a is equal to number
00:49:235, okay?
00:49:33For now, we are just looking at the prime numbers, okay?
00:49:36Yeah.
00:49:3711, 7, and then 5, okay?
00:49:39Let's work out number 5.
00:49:43There are only 4 of them, okay?
00:49:45Yeah.
00:49:46Real quick.
00:49:515x plus y is equal to 1.
00:50:01So, ax plus by, b ranging from 1 to 10, right?
00:50:08But when b is more than like 11, alpha repeats itself, okay?
00:50:15Yeah, that's what I figured out in my bedroom earlier today, okay?
00:50:20So, why does it repeat itself?
00:50:23It has to be row algebra, okay?
00:50:25So, we'll deal with that later, okay?
00:50:29For now, it's just pattern recognition, okay?
00:50:32Yeah.
00:50:33Making a lot of examples.
00:50:34Induction, okay?
00:50:35We are doing both induction and deduction, okay?
00:50:37Yeah, okay.
00:50:39Okay.
00:50:45y is equal to 1, row 5.
00:51:11Y is equal to 3.
00:51:37Y is equal to 3.
00:52:06Y is equal to 2.
00:52:35Okay.
00:52:583 times 5, 16, y is equal to 4.
00:53:27Okay.
00:53:37Now, alpha here.
00:53:461, 3.
00:53:512, 4.
00:54:00When a is 5, okay?
00:54:02All right.
00:54:04Okay.
00:54:25Okay.
00:54:34Let's...
00:54:37I should have left some room here, but we'll just squeeze it in.
00:54:45Alpha, 1, 3.
00:54:512, 4.
00:55:00When a is equal to 5, okay?
00:55:02All right.
00:55:07So...
00:55:23Aha.
00:55:43So, we have function of two variables, okay?
00:55:48First variable, a, okay?
00:55:57Yeah, like 11, 7, and 5.
00:56:00Second variable, b.
00:56:04When b is ranging from like...
00:56:07When a is 11, b ranges from like 1 to 5.
00:56:10When a is 7, b ranges from 1 to 3.
00:56:13When a is 5, b is just 1 and 2, okay?
00:56:17So...
00:56:22We have to find the function of two variables.
00:56:31Alpha function.
00:56:36Input a and b.
00:56:41Okay?
00:56:42And some formula there.
00:56:43And that's what we are...
00:56:48That's what we want to find.
00:56:53Okay, yeah.
00:56:56Now we have a fairly well-defined problem to solve.
00:57:01Okay, good.
00:57:07Mm-hmm.
00:57:12And...
00:57:15Time check.
00:57:18Yeah, it's been almost one hour, okay?
00:57:20Yeah, let's take five minutes break, okay?
00:57:21So...
00:57:24Good.
00:57:25Yeah, making slow progress here.
00:57:27Yeah, good progress, though.
00:57:30Okay, five minutes.
00:57:41Good?
00:57:43Yeah?
00:57:44Pretty good, yeah.
00:57:48Let's ventilate the room.
01:01:18Okay.
01:03:12Okay.
01:03:18Doing a nice setup here.
01:03:22Our job is to find formula of the function.
01:03:27Hmm.
01:03:33One approach would be reverse engineering of this calculation.
01:03:41Okay.
01:03:45Now...
01:03:49In all these three cases, when a is equal to 11, 7, and 5,
01:03:56or in all those three cases, alpha is always 1 when b is 1, okay?
01:04:06Yeah, we noticed that.
01:04:21The next number.
01:04:241 plus 2, 1 plus 3.
01:04:27Here, 1 plus 5.
01:04:32Okay.
01:04:351 plus 2, 1 plus 3.
01:04:38Well, 5, 7, 9.
01:04:42Okay, when a is 9, okay?
01:04:461 plus 2, 1 plus 3, 1 plus 4.
01:04:51Maybe 1 plus 4 when it's 9, okay?
01:04:54Let's work out when a is 9 then.
01:04:59Okay, sure.
01:05:019 is not a prime number though, okay?
01:05:06But we'll work out number 9, okay?
01:05:10Okay.
01:05:13This, yeah, we'll work this out later.
01:05:18Yeah, we are not there yet.
01:05:28And...
01:05:33We need some room.
01:05:36When a is 9, you squeeze it right here, okay?
01:05:41Okay.
01:05:43Let's go.
01:05:48All right.
01:05:529x plus y is equal to 1.
01:05:59Because 1 and 9, they are co-primes.
01:06:02Okay, so...
01:06:07y is equal to 1, row 9.
01:06:14All right.
01:06:19y is equal to 9k plus 1.
01:06:24x is equal to minus k plus 0.
01:06:379x plus 2y.
01:06:55With 9,
01:06:59y is equal to 5.
01:07:08Hmm?
01:07:16Okay, so 1, 5, yeah, as we expected.
01:07:20That's good.
01:07:22There's some pattern there. Nice.
01:07:27Good.
01:07:38Good.
01:07:51And 9x plus 3y, we cannot do that.
01:07:54Why? Because 3 and 9, they are not co-primes, okay?
01:07:57Yeah, so we'll skip that part.
01:08:08Okay.
01:08:19Okay.
01:08:32We're at 10 and 7, okay?
01:08:3510 and 7, 10 and 8, y is equal to 7.
01:08:40Minus 10 and 7, so minus 3.
01:09:10Okay.
01:09:34Okay, y is equal to 2.
01:09:40Okay.
01:10:00Okay.
01:10:05When b is 6, we cannot do that because 6 and 9,
01:10:08they are not co-primes, when b is equal to 7.
01:10:15Two more to go, okay?
01:10:38Okay, 10 and 7, 10 and 8, y is equal to 4.
01:11:02One more.
01:11:08Okay.
01:11:38Okay.
01:11:56Yeah, 7 times 9,
01:11:5963, 64, yeah.
01:12:028 times 8, 64, okay?
01:12:05So, y is 8,
01:12:08y is equal to 8,
01:12:11so 9k plus 8,
01:12:14x is equal to
01:12:17minus 8k,
01:12:23minus 7.
01:12:26Okay?
01:12:36Okay, now, when a is 9,
01:12:41alpha is equal to
01:12:471, 5, 7.
01:12:561, 5, 7.
01:12:59We'll skip 3 and 6, okay?
01:13:02So, 1, 5, 7, and then 2,
01:13:074, 8.
01:13:112.
01:13:14Oops.
01:13:22We skip this, so 2.
01:13:28Skip this.
01:13:324, 8.
01:13:37Yeah, so it's symmetric, yeah.
01:13:409, 9, 9, good.
01:13:44Okay.
01:13:54Alpha
01:14:03Yeah.
01:14:16Yeah.
01:14:21I think we did enough, okay?
01:14:24We'll continue this tomorrow, okay?
01:14:27It's very elusive,
01:14:30but we are making slow progress,
01:14:33but a good progress, nonetheless, and
01:14:36yeah, let's take
01:14:395 minutes break, maybe we will do one more segment, okay?
01:14:42Okay, but mathematics is good enough
01:14:45for this episode, okay?
01:14:485 minutes break, thank you.
01:14:51Alright.
01:15:00Huh?
01:15:06Huh?
01:15:12Yeah, there we go, alright.
01:15:15Cool.
01:15:30Cool.
01:16:00Cool.
01:16:30Cool.
01:17:00Cool.
01:17:30Cool.
01:17:33Cool.
01:17:36Cool.
01:17:39Cool.
01:17:42Cool.
01:17:45Cool.
01:17:48Cool.
01:17:51Cool.
01:17:54Cool.
01:17:57Cool.
01:18:00Cool.
01:18:03Cool.
01:18:06Cool.
01:18:09Cool.
01:18:12Cool.
01:18:15Cool.
01:18:18Hm.
01:18:21No, it's 5 and a half minutes
01:18:24you
01:18:54you
01:19:24you
01:19:54you
01:20:24you
01:20:54you
01:21:00okay so what we have here is a preliminary result but what I what I
01:21:07think we need to do is to work out all the numbers including even numbers and
01:21:11composite numbers okay I worked that out maybe in my bedroom or tomorrow
01:21:19whatever okay so then hopefully though there's some emerging pattern okay so we
01:21:29found some patterns a small pattern right but we need some more examples
01:21:34yeah sure I can work that out we can work it out later okay for now yeah we
01:21:42did you know mathematics okay so let's talk about something else
01:21:49Wow
01:21:53yeah mathematics huh nice so yeah as usual I watched some Twilight Zone
01:22:01episodes many times Twilight Zone episodes like featured this scenario
01:22:06where a person in isolation yeah kind of solitary confinement that's quite my
01:22:19case okay yeah so I can relate to that where I'm all alone in Alaska but I'm
01:22:27not bored at all because doing mathematics it's like playing a game you
01:22:33know and hiking, running, walking, taking pictures and yeah keeping my life very
01:22:44simple as simple as possible minimalism okay yes just focusing on mathematics
01:22:50these days
01:22:54and I continue to apply to jobs and apply to like unemployment insurance so
01:23:00that's where I was taken care of okay yeah yeah cheers
01:23:15interesting so I'm taking this occasion of unemployment to fully focus on
01:23:23mathematics okay so I believe in God I think God is giving me this opportunity
01:23:31to study this okay linear D'Alembertian equation okay yeah
01:23:43nice
01:23:47because I've been working on this problem for a while by now like about
01:23:54half a year ago six months ago about yeah you started with the Chinese
01:24:01remainder theorem okay and and then we did some other stuff in mathematics and
01:24:10now we are back to it
01:24:13okay
01:24:16yeah
01:24:19good
01:24:33cheers
01:24:38time to check
01:24:44yeah we have more than 30 minutes left I'm hungry I'm gonna have some
01:24:51microwaved frozen pizza okay yeah five dollar pizza okay nice frozen microwave
01:24:57okay and and yeah the Nike missile yeah the history during the Cold War yeah a
01:25:07lot of web pages about that good historical information and yeah the
01:25:13stories of army veterans who are stationed in one of those Nike missile
01:25:20sites okay yeah interesting stories okay yeah
01:25:26yeah
01:25:30okay
01:25:34you
01:25:39funny stories too yeah like
01:25:45basically they're like 1950s 60s 70s okay so you know remote site very little
01:25:54food yeah some maybe meals ready to eat or durable food but that's like 20 years
01:26:00old like canned food like 10 years old okay so but yeah those canned food have a
01:26:08long shelf life okay so basically eating the same food so yeah and living in
01:26:15isolation and kind of I can relate to that okay so the story of Nike missile
01:26:21sites army veterans their stories some episodes in Twilight Zone basically like
01:26:28living simple life isolated yeah and that's the kind of life I'm living in
01:26:34okay yeah simple food simple life isolation yeah but having fun because in
01:26:41my case God blessed me with a gift of mathematics okay so I'm not poor at all
01:26:52yeah
01:26:58but in my bedroom yeah I look at some other news other web pages okay yeah
01:27:07sometimes I study like foreign languages too okay so
01:27:16yeah
01:27:21mm-hmm
01:27:28yeah life is good
01:27:35okay we'll see you tomorrow okay yeah I'm gonna have dinner and watching some
01:27:40Twilight Zone episodes okay yeah see you tomorrow thank you
01:27:44yep mighty proud future leaders yeah martial arts education and career
01:27:48development exercise healthy hobbies okay thank you be ambitious
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