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770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:41:16 | wouldn't every point on the unit circle be an ap | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:22 | not necessarily | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:24 | Let b = pi | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:30 | Then what will our AP's be? | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:34 | oh wait | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:36 | aaaaa | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:42 | x is real? | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:41:44 | yes | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:47 | ahaha then indeed | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:49 | that is true | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:41:54 | But for a second, suppose x is integer | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:42:13 | so we have a sequence of points e^{bi}, e^{2bi}, e^{3bi}, ... | 0 | 1 | 321,445,119,171,756,000 | Shuri2060 | 9525 | a μ-er | false | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:42:17 | yes | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:42:25 | because it's pi | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:42:26 | so just | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:42:33 | e^pi*i and e^2pi\*i | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:42:39 | right | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:42:43 | that is 1 and -1 | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:42:47 | (-1)^n is our sequence | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:42:48 | because sine and cosine have an interval of 2pi | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:43:07 | wdym | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:43:10 | $$re^{i\theta}$$ | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:43:14 | Are you familiar with this form? | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:43:16 | yes | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:43:18 | Theta is the argument | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:43:27 | cos(theta) + i * sin(theta) | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 510,789,298,321,096,700 | TeXit | 02/19/2022 07:43:33 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:43:35 | Its actually this, but r = 1 for us | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:43:42 | But think about just theta | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:43:53 | we go 0, pi, 2pi, 3pi, ... | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:44:04 | ie. we flip between 0 degrees and 180 degrees | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:44:07 | Which is 1 and -1 on the argand plane | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:44:23 | hence, I get (-1)^n as our sequence | 0 | 1 | 321,445,119,171,756,000 | Shuri2060 | 9525 | a μ-er | false | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:44:37 | ohhhh | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:44:37 | yes | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:44:38 | right | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:44:46 | I forgot that -1^even number = 1 for a second lol | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:44:58 | If theta = pi/2 | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:45:02 | We have 4 AP | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:45:08 | 1, i, -1, -i | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:45:27 | I'm trying to get the point - if we have a rational multiple of pi, our AP will be finite | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:45:31 | And in fact, the roots of unity for some n | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:45:42 | roots of unity? | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:45:43 | $z^n=1$ | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 510,789,298,321,096,700 | TeXit | 02/19/2022 07:45:45 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:45:49 | Ah maybe you have not come across this | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:45:53 | All the solutions z to this polynomial | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:46:28 | hm | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:46:37 | unknown.png | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:46:47 | Visually, the points will lie on the unit circle | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:46:51 | equally spaced out | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:47:00 | so if you join them up, you get a regular polygon | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:47:01 | with n sides | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:47:02 | so every point on the unit circle is a root of 1? | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:47:13 | Not quite | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:47:18 | You can have an 'irrational' point | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:47:21 | If you see what I mean | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:47:34 | If you have like $\pi\sqrt 2$ | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 510,789,298,321,096,700 | TeXit | 02/19/2022 07:47:42 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:47:43 | As your angle | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:47:57 | No matter how much you exponentiate the number (ie. add the angle to itself) | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:48:00 | you won't get to 1 | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:48:14 | that makes sense | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:48:18 | So back to AP | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:48:23 | The definition is broader | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:48:31 | If I have a point P | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:48:42 | It is an AP if we get **arbritrarily close** to it an infinite number of times in our sequence | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:48:55 | We don't actually have to hit it - we have to get as close as we like | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:49:02 | This is slightly harder to understand | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:49:05 | what does arbitrarily close in this context mean | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:49:10 | So... its like this | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:49:17 | You tell me a point P | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:49:29 | Then I draw a circle around P, any size I want | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:49:43 | Then if an infinite number of points in the sequence lie inside that circle, you 'win' | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:50:24 | If you win no matter what circle I draw, | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:50:25 | P is an accumulation point | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:51:15 | so if we draw a circle around 1 with radius h as h -> 0, it would be an ap when talking about our sequence ((-1)^n)? | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:51:25 | indeed | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:51:36 | This is an obvious case because we keep hitting the point 1 itself | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:51:37 | $e^{i(\pi\sqrt2)n}$ | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 510,789,298,321,096,700 | TeXit | 02/19/2022 07:51:39 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:51:45 | For this sequence where n is an integer | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:51:55 | We don't actually necessarily hit every point of the unit circle | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:52:01 | But we **do** get arbritarily close | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:52:12 | So for this example, the entire unit circle is a set of accumulation points
=============== | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:52:34 | Well anyways --- this kinda detracts from your original question where we don't have a sequence | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:52:36 | But a function | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:52:42 | x -> infinity, so x is allowed to be real | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:52:51 | In which case you do visit every point | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:53:10 | ===
So how do limits and AP relate? When there is exactly 1 AP, then a limit exists. | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:53:19 | If there are more than 1, no limit exists (divergence) | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:53:42 | If the AP is infinity, then the limit also doesn't exist in C, and we consider it to diverge, too | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:55:20 | wait | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:56:00 | it converging depends on what b is? | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:56:07 | 391270706186420224.png | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:56:08 | because if b is e.g. 1 we have infinitely many aps | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:56:16 | If b = 0 | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:56:27 | Then we have just 1 AP, aka 1 | 0 | 1 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 391,270,706,186,420,200 | illuminator3 | 02/19/2022 07:56:30 | then it's just 1 yeah | 1 | 0 | null | null | null | null | null | |||||
770 | help-10 | 07fac3c5fb2449ab82562d5b132c3ff1 | 321,445,119,171,756,000 | Shuri2060 | 02/19/2022 07:56:38 | But think about other b | 0 | 1 | null | null | null | null | null |
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