A list of puns related to "Rota's basis conjecture"
DoodleConn wasn't always the...thing he is now. Once, long ago, he was a normal human, a simple man named Ian Conn. He lived a normal life somewhere in Austin, Texas (though he later moved to San Antonio). He had normal relationships with normal people. There was very little to distinguish himself from any of his other friends of neighbors. He was nobody.
That all changed when his best friend and neighbor, one Kyle C. Sullivan, went to Ikea.
Soon afterwards, Ian's life was one confusing mess after another as he was forced to live with Kyle's antics, fighting against malevolent AIs, alternate versions of himself and in general trying to stay sane. He started out as Kyle's brother in arms, and they watched each other's backs throughout their adventures. But over time, Ian's mental state began to break down.
Time and time again, Kyle would initiate something that would cause the near-destruction of reality, building genocidal AIs and giving them weapons, unleashing massive natural disasters on the City that he had somehow become Mayor of and generally turning Time into a torn up mess that made a tornado's path look the epitome of cleanliness. Kyle himself never seemed to learn anything from these disasters, quickly moving from one to the next.
Ian, on the other hand, did. As he watched all of reality start to burn down around him, his mind began to break, and it only broke further with every disaster that Kyle unleashed. Finally, after two years of insanity, he snapped. Allying himself with Dell Laptop, he attempted to stop Kyle's madness by locking him inside of a pocket dimension, hoping to gain control of the channel and stop any further damage to the timeline. This attempt failed, only breaking Ian further.
Ian would make other attempts to stop Kyle's madness, such as travelling back in order to stop the sun from exploding and even learning reality-bending Benedict Cumberbatch powers. All these attempts ended in failure, and the final straw was when Kyle got his hands on a TARDIS, a tool that had the potential to multiply his devastation of time tenfold. In desperation, he simply shot Kyle, but Kyle had by then gained the Time Lord powers of regeneration, and simply gained a new body.
With Kyle at this point, in his own words, "Basically god," Ian made one last desperate attempt to stop him. In order to defeat a god, he decided to become one himself. Using the holes in reality torn by Kyle's travel in the TARDIS, Ian merged himself with the very
... keep reading on reddit β‘I work in IT and for the past year I've been dealing with a known issue that has been constantly happening day and night. My team doesn't do on call for some reason so when this issue happens outside of office hours, on call is supposed to pick it up.
I noticed that on call wasn't always picking up this issue, which mean it ended up causing greater problems which resulted in myself having to deal with it during the following day. So I reached out to the guy in charge of on call and asked if I can be put on the Rota and explained why. He had no issue with it and was also concerned it wasn't being picked up but told me to reach out to the on call team that covers this area.
So that is what I did, I reached out to them via teams and made a group chat with the guy in charge andI portrayed it as I wanted to join to further development myself and to fully be part of the process rather than just handling the issue doing office hours. However, Billy (false name) said there was no need to have another person and it wouldn't benefit anyone, he came across as rude and defensive.
I did some checking and it turns out he doesn't have the sanctions needed to deal with this particular issue, which seemed very strange to me. I went back and explained a bit more about why I wanted to be on the rota and included that it isn't always being picked up by on call, I then asked how he was dealing with these issues without the correct sanctions. Guy in charge asked me to explain and I provided proof, Billy had no explanation and nothing was said for a day.
Guy in charge contacted me the following day and told me I would be replacing Billy on the rota and asked me to confirm I have all the right sanctions and if anything new comes up with the issues to escalate and get further training.
So I'm now on the rota and earning an extra Β£600 a month. I feel like an asshole as it wasn't my intention to replace Billy but just be an extra person on the rota. Now he is down Β£600 a month.
Please allow me to talk a little bit about my research. I am interested in certain sums of unit fractions, like 1/2 + 1/3 + 1/4 + 1/5. More precisely, for positive integers a and b write the sum 1/a + 1/(a+1) + .. + 1/b as one fraction u(a,b)/v(a,b) (where numerator and denominator have no common factors). For example, v(2,5) = 60, as 1/2 + 1/3 + 1/4 + 1/5 = 77/60. Then, if we fix a and view the denominator v(a,b) as a function of b, then this function often grows quite quickly, roughly exponentially fast. To give you an example, let's say a = 100 and let b run from 100 to 105. Then we get the following sums and look at the denominators on the right-hand side:
1/100 = 1/100
1/100 + 1/101 = 201/10100
1/100 + 1/101 + 1/102 = 15301/515100
1/100 + 1/101 + 1/102 + 1/103 = 2091103/53055300
1/100 + 1/101 + 1/102 + 1/103 + 1/104 = 67632503/1379437800
1/100 + 1/101 + 1/102 + 1/103 + 1/104 + 1/105 = 188463347/3218688200
Fast-growing indeed!
But the (to me) interesting thing is that v(a,b) is not a monotonically increasing function. Even though it's a fast-growing function, sometimes if we increase b it gets smaller! As we noticed, v(2,5) = 60, whereas 1/2 + 1/3 + 1/4 + 1/5 + 1/6 = 29/20, so that v(2,6) = 20 which is indeed smaller than v(2,5).
Now, let b(a) be the smallest integer b > a such that v(a,b) is smaller than v(a,b-1). That is, for fixed a, b(a) is the first violation of monotonicity. Then it can be shown that b(a) exists and is finite for every a and, more precisely, b(1) = b(2) = b(3) = 6, b(4) = 18 and b(a) < 4.38a for all a > 4. On the other hand, there are lower bounds for b(a) as well and this is where we get to the title of this post. Because in a certain sense, b(a) can not be too small; if you start with b = a and then let b grow, then for the first few values of b, v(a,b) will actually be monotonically increasing. To be exact, there is an absolute constant c > 0 such that for all positive integers a we have b(a) > a + c * log(a). Rewriting this inequality we see that (for a > 1) the quantity f(a) = (b(a) - a)/log(a) is bounded from below. In particular, I can prove that for all large enough a we have f(a) > 0.54. So if a is such that f(a) is near this value of 0.54, then this means that v(a,b) stops being a monotonically increasing function of b more or less as quickly as theoretically possible. Furthermore, there do exist some a that actually violate the inequali
... keep reading on reddit β‘I always play as a solo player and have never done any rotas since that 1 league I delved a lot and got into some sulphite rotas, but never since then and never for levelling.
For those in the same boat and have gotten to 100 - how? What's your method of choice usually?
I'm a casual, never hit 100, and thinking of doing so this league since there's still around a month of it left. Still need to push 5 more levels, which I know, I know, is a shitton of experience. Was thinking maybe delving sideways around Depth 150-160 is the way then just go back up to stock up on Sulphite, idk. I don't think it should be that hard to buy sulphite scarabs in bulk from time to time.
https://twitter.com/SteveDuin/status/1452974790889836546 β >This from @redrock_bball at BasketballMonster: "There is conjecture out there that Lillard is suffering through a decently significant injury, that worsened in Tokyo and probably should've had surgery on his abdomen. He is struggling to get lift on his 3s or to finish at the rim"
β
https://twitter.com/SteveDuin/status/1466295726514733063
>Josh Lloyd nailed the @Dame_Lillard injury five weeks ago
Lillard said before that he's been dealing with an abdomen issue for three and a half or four seasons. According to Chauncey Billups, thereβs been no talk of surgery at this point.
In any hospital or any department Iβve worked in, not once have I had a rota coordinator who does a good job. Do they chose them based on how bad they are? Iβm genuinely wondering if Iβm missing something and why itβs so difficult to sort a rota out. Most need help from Regs/SHOs and still get the rota wrong. Or mess up leave. Or both.
With the COVID and winter pressures, the trust has now put up "enhanced" rates for extra staffing (yay!)
However, I realized that some FY colleagues have booked themselves onto quite illegal shift patterns, e.g doing a night straight after a day, doing 10 days in a row, or >4 long days in a row.
I guess this could pose a patient safety issue? One can argue that letting the shifts go uncovered would also be an safety issue. What would you do in this situation?
Opinions are like assholes. Fuck em. Music is literally the #1 most subjective thing in the entire world. You will NOT agree with everyone and everyone will NOT agree with you. Chill the fuck out people!
I took Real Analysis this semester so I had series and sequences on my mind. I had the random idea to look at the sum of the reciprocals for the Hailstone sequence of some numbers. So, taking 5 and applying the Collatz function iteratively you would get,
[5, 16, 8, 4, 2, 1]
Wherein I would stop. Then I would look at,
1/5 + 1/16 + 1/8 + 1/4 + 1/2 + 1/1 = 2.1375
I plotted this number with respect to its initial value (I started calling these seeds just to help me out).
Here are some of my findings.
Fig 1. Hailstone Sequences, Length of Sequence, Sum of Reciprocals
This first image was to get my head around everything. The first graph is of the hailstone sequences for the first 1000 integers. You can see how all the lines eventually fall down to 1.
The second graph plots the length of the sequences, from the starting seed to 1, against the seed's value. It seems to grow sort of logarithmically which is neat.
The third plot is my work. The sum of reciprocals for the sequences. The first thing to notice is that strange band at the bottom, followed by a gap, followed by a cluster of points. Very interesting. I'll comment more on the bottom band later. Second thing of note is how slowly it increases. This makes sense because the reciprocal of large numbers are small, so we have to go out very far to see any noticeable change. We know the harmonic series diverges and I am just taking different subsequences of the harmonic sequence. If there was some upper bound on these sums of sequences that could say something interesting. But I don't know.
Fig 2. Sum of Reciprocals up to 10,000
Here is a graph of just the sums of reciprocals but up to 10,000 integers. The interesting thing here is that you can see more pronounced bands forming. The lowest band around 2.0, a thin band about 2.3-2.4, a dense band around around 2.5, a thick band from 2.1 to 3.0, and then an upper band about 3.2. The bands themselves are interesting but what is even more interesting to me is the gaps between the bands.
Fig 3. Sum of Reciprocals up to 10E5
This figure is just to
... keep reading on reddit β‘Hola comunidad, no suelo publicar aquΓ, necesito ayuda urgente, me gustarΓa saber cuanto cuesta arreglar una paleta(diente) que se quebrΓ³ a la mitad??? Es urgente porfavor!!
Love emailing in annual leave requests only for it to be rejected in a delayed reply 3 weeks later. Oh and the medical director suggesting all annual leave is temporarily cancelledβ¦
Is it not common for people on Guam to have family and friends in CNMI? Why does it feel like the two territories are so disconnected?
Completely my fault for not actually double checking the date at the very top of the page, but also who starts a rota with Sunday? I feel like such a knob Iβve only been there a week and theyβll think I was bunking off. I was supposed to work Sunday to Tuesday, but in my head the rota immediately read as Monday to Wednesday. Probably a lot of people start their rotas with Sunday and maybe I just havenβt experienced it before now. Egg and my face are in alignment.
What do we think?
I was personally hoping for a little clearer resolution that we're going to cantha, similar how other seasons ended with pretty clear directions, but i guess EoD is gonna have to give us that prologue on it's own.
Weird how the DSD is still a topic of speculation, i couldve sworn it's existence was already confirmed? like. wasn't mordremoth already supposed to be the "secret" sixth elder dragon? i thought we just didn't know /what/ exactly it is and the full name, not whether it existed at all. There's the entire storyline of all the aquatic races having been displaced by it's awakening, and also every single elder dragon simulation tami has ever run already included six dragons? i really don't know whats up with this mystery storyline.
who do we think raided taimi's rata sum lab after the S4 replay? im guessing it's either the jade brotherhood or maybe even jun. can't wait to get the resolution of that in eod.
Continued from here. Thanks to /u/atomicimploder for the finish!
The next get is at 650 (650 | 0).
Please note that this site uses cookies to personalise content and adverts, to provide social media features, and to analyse web traffic. Click here for more information.