Math

Day 51 – May 6, 2020

During my first week of university, back in September of 1986, SFU set up a number of booths in the Academic Quadrangle where all sorts of vendors could set-up shop, catering to the wet-behind-the-ears first-year crowd. Student credit cards, cheap dentists, bus passes, discounts on numerous things. One that caught my eye was Cypress Bowl; I was an avid skier back then, and they were offering a heavily-discounted season’s pass for students. $120 for the entire upcoming ski season. The quick math on that indicated it to be a no-brainer. I’d have it paid off in a few weeks, for a ski season that’d hopefully last 6 months.

There was a catch though… it was a restricted pass. Only good for daylight hours, and not on weekends. Monday to Friday, dawn to dusk — and that suited me just fine; my intention was to ski outside of class… before or after (and, as it turned out — on particularly sunny days — during) school. I had Tuesdays off, and only morning classes on Thursdays. And Fridays, done by noon… plenty of time. SFU to Cypress was about 30 minutes.

They took my picture (with a fancy Polaroid that printed two of the same), kept one and created my pass… logo, picture and name, all professionally laminated. And since it was restricted, as per above, the word “RESTRICTED” stamped right across the face of it, in bright red letters.

I wore that thing out. True to my word, I paid it off in weeks — I was up there at least twice a week, usually 3 times. That turned into 4 after I dropped a course that was nowhere near as engaging as flying down the slopes.

Curious thing though… when you’re skiing, and you get to the chairlift, there’s that 10 seconds of time when you’re next, and you shuffle-up to the marker, awaiting the chair to scoop you up. During that time, you usually have a 1 or 2-sentence discussion with the chairlift operator -the “Liftie”.

“Hey, what’s up”
“Have a good one”
“It’s icy, eh”

That sort of thing. Well, that would be typical… but for some reason, with me… I’d always get, “Oh, hello! And how are you doing today? Are you having a good day? Is everything OK?” — some version of that. “Yeah, man, it’s all good…” I’d say… but think to myself… well, that was weird.

One particular day, months into this, I got to the bottom of the hill, and joined the lineup to the chairlift… and noticed, ahead of me, a group of intellectually and physically-disabled individuals, many of them with an accompanying care-aid. And then a few more of them, having made their way down the mountain, drifting in behind me in the line-up. And all of them had the exact same pass I did, “RESTRICTED”, boldly planted on their own, individual, professionally-laminated passes.

Oh…. now I get it. Now that makes sense. I watched ahead of me as these folks made their way onto the chairlift… and then it was my turn. And before I could say a word, there was the Liftie, a very nice older lady… 2 inches away from my face. “Oh, you’re going up all by yourself! Good for you! Have fun, but be safe!”. Well, thank you! I certainly will!

Amusing story, but if the lesson of it hasn’t hit you yet — with the subtlety of a sledgehammer to the stomach — it’s this: Don’t Judge a Book by its Cover.

There’s a lot of book-cover-judging going on these days, and perhaps I’m a little guilty of it. I painted the state of Michigan yesterday with a pretty broad paintbrush, and it’s unfair to do so. The majority of residents of Michigan are not government-defying white-supremacist gun-toting swastika-tatooted Covidiots. They’re just normal people, and if the state were a book, those normal people would be pages 689 or 472 or whatever, any white page with black letters, indistinguishable from all the others. But the cover, that’s what you notice, and that’s what we see when the majority sit back and don’t make their voices heard (or seen). Michigan, in fact, is a good example of that. Back in 2016, that state was a given…. it hadn’t gone Republican since 1988, and Hilary Clinton had it in her “checked-off” list. All polls pointed to a Blue state, and when many voters stayed home and didn’t bother voting, guess what happened. By a margin of 0.23%, the state, and all 16 electoral college votes, went to Trump — a significant piece of the unexpected, complicated and surprising election result.

It’s the bright cover that gets the attention… the squeaky wheel that gets the grease… the tall trees that get the wind… the nail that sticks out that gets pounded down. So many versions of the same thing. In Spanish, “El que no llora, no mama”, with reference to crying babies: “He who does not cry, does not suck.” — that seems to lose some meaning when you translate it. On the other hand, perhaps it gains a different one…

Dr. Bonnie Henry keeps saying the same thing over and over, to the extent it might one day become the provincial motto: “Be kind, be calm, be safe”. It’s working well around here, and it’s probably working well elsewhere, but we never hear about it because the Covidiots take front and centre stage, and that’s what we judge. But they are the cover to a book that has a lot more to it; a book that is far from completion. We are writing the chapters as we live them. One day, we will judge that book — as will history — by its contents. Not its cover.

But if one day I write a novel, the title of the book will be “Stephen King” — in that familiar Stephen King font, Scary Times Roman™ or whatever it’s called. That will be the cover. Actually, let’s make it better… “Stephen King”, in that lettering, “Pandemic,” in a smaller font just below it. And far below that, in the tiniest font allowable, in the most transparent colour possible: “a novel by horatio kemeny”. All of this text overlaid on top of pandemic/apocalypse art: viruses, guns, militia, flags, doctors in masks, burning hospitals in the background. That thing would fly off the bookshelves and be #1 on every best-seller list on the planet… before anyone had a chance to say, “Hey… hey wait… what is this crap!?”.

That book, you’re allowed to judge by its cover. But that’s the only one.

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By |2020-10-08T01:24:28-07:00May 6th, 2020|Categories: COVID-19 Daily Report, The First 100 Days, Politics, Philosophy, Art & Literature|Tags: , , , , , , , , |7 Comments
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Day 48 – May 3, 2020

In 2012, I was in L.A. to visit a movie set. The hotel was in a nice part of town; the set, perhaps not so much. I ordered an Uber, and a black SUV showed up. The destination (call it “Z”) was already entered into the app, so off we went. It was interesting to note that this driver had his car set up with at least four different phones or devices dangling from the windshield and dashboard. Uber, Nav, Music, actual phone… I don’t know.

But at one point, one of them went out of sync… and he asked, “I thought we’re going to Z”
“That’s right”, I replied.
“Well… this says we’re going somewhere else”

Odd.. some glitch… one of his devices was pointing to some location maybe 20 blocks away from Z. Call it X.

“No… not sure why. It’s Z”
“OK, because I can’t take you to X”
“No worries”

Curious though… so I asked…. “Just wondering, why can’t you take me to X?”
“Sir, I can’t take you to X”
“I understand, and we’re not going to X… I am just wondering what’s the big deal with X and if I wanted to, why you wouldn’t you take me there?”
“Sir, I told you, I will not take you to X”
“I don’t want to go to X. I want to go to Z. I am just curious… if I wanted to go to X, why wouldn’t you take me?”

He pulled the car over.
“I can’t take you to X. I can drop you here and you can find another Uber”
“I don’t think you understand. I don’t want go to X. I’ve never heard of X. I don’t know where or what it is. I am simply wondering what’s so bad with X that you wouldn’t drive me there”
“Sir, you’ll have to get another Uber”

We sat there for a moment, me trying to figure this out. This wasn’t a language issue; he spoke English perfectly. This was just a guy that couldn’t wrap his head around a hypothetical situation. Those two words, which are my favourite when put together… the two words that have led to all of the innovation that’s ever happened in history, when posed by somebody…”What if…” — this guy couldn’t process it; there seemed to be no version of “What if” in his world. I sat there imagining what it might be like to be playing chess against this guy. He moves a piece, you take it. “Oh, darn”. He moves another, and you take it too. “Oh, hmm, you’re good at this”. Well, I’m ok, but it sure helps that I can think ahead more than zero moves. Like I can propose a hypothetical situation in my mind, evaluate it, do that several times and come up with something useful.

But this guy… he just didn’t get it. And maybe he couldn’t.

“Yeah, ok, forget X. Let’s just go to Z”.

And off we went. But there was no more conversation after that, and as much as I really wanted to, I didn’t ask him the same question for the 10th time when we finally arrived. What was the point? He wouldn’t get it. And further to that, I guess the conversation bothered him, because my Uber rating dropped from a perfect 5 stars down to 4.92 after that.

I remember another time a friend sent around an email, asking us to answer a few simple math questions, and explain how we did them in our head. His son was having trouble with math at school, and he was looking for different ways of explaining things. Like, what’s 9+9. I was so surprised to see some answers that came back. Like, for me, it’s just 18. I just know that. But some people were saying… add 1 to each 9, that makes 20, then subtract 2. In their head, they were doing (9+1)+(9+1) – 2. Or 15+8, which for me is just 23, was somehow turned into (15+5)+3 for one person, and (15+10)-2 for another.

There’s obviously nothing wrong with thinking differently. Whatever works for you. But what happens when it doesn’t work?

This was brought to light (and it reminded me of these two examples) by a friend who commented on a recent post of mine, the one about Covidiots. That maybe calling them that was a little harsh; that maybe they not only don’t know any better, but perhaps they *can’t” know any better. Like it’s actually beyond them. There’s possibly some truth to that, and since I’m the biggest proponent of letting people live their lives with freedom and their own particular pursuit of happiness, what’s the big deal… the usual golden rule of “do unto others as you would have them do unto you” is actually a bit better if you change it slightly: “don’t do unto others as you wouldn’t have them do unto you.” It’s better because instead of imposing on others what you think is right, this un-imposes anything on anyone, as long as it’s not hurting you.

But that’s the thing. A bunch of people ignoring intelligent, well-thought-out and proven directives… has the potential to affect us all — drastically, and we’re no doubt going to see the results of it in different places.

The state of Oklahoma is opening up; they think they’re in a position to handle things, and reading their planned phase re-opening, I guess it might look good on paper. Oklahoma has a population of 4 million, compared to B.C.’s 5 million. They also have twice as many confirmed cases and twice as many deaths. They’ve already opened up hair salons, barbershops, spas, nail salons. Two days ago… restaurants, movie theatres, entertainment venues, gyms, spotting venues… the list goes on.

In trying to balance out the greater good of business vs. public health, the officials in Oklahoma made it mandatory for clients of the aforementioned businesses to wear masks. As we know, wearing a mask protects others more than it protects you, and it would make sense for the benefit of the workers of all these places that people wear masks. If they’re going to be subjected to hundreds of people, their safety needs to be taken into account.

That mandate lasted about 3 hours before it had to be lifted… as threats, violence and guns all made appearances… as a lot of people who perhaps aren’t quite clear on exactly what the constitution of their country actually says, protested that their rights were being violated. What’s becoming abundantly clear is that there is a group of people incapable of understanding. Their preconceived notions and/or brainwashing seems to preclude any sort of rational thinking. And it’s also clear that there will never be a way to convince them. And that, unfortunately, is putting everyone around them in danger. So let’s leave it at that… you’re free to do whatever you want, but if your ridiculous actions have the possibility of affecting me, then you’re a Covidiot.

A brief note about today’s numbers — there was a huge spike in Quebec’s numbers, apparently due to a computer error that had neglected to count 1,317 cases from the past. Not counting those, their 892 actual new cases for the day looks a lot better… but that jump obviously affects our national numbers as well. And, it’s quiet day in B.C. — I will correct my guess with tomorrow’s real data.

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By |2020-10-08T01:24:29-07:00May 3rd, 2020|Categories: COVID-19 Daily Report, The First 100 Days, Politics, Business & Economics, Sports & Gaming, Philosophy, Art & Literature|Tags: , , , , , , , , , , , , , , , , , |0 Comments
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Day 39 – April 24, 2020

Yesterday, I talked about the dinosaur apocalypse… how they were all wiped out. But, to reiterate, the only ones that were fully wiped out were the ones on the ground. As hard as it is to believe, and I know some will take exception to this… but… birds… are not descendants of dinosaurs. They are dinosaurs… the ones that survived that cataclysmic event 65… sorry, 66 million years go.

That cataclysmic event was so… umm, cataclysmic… that it wiped out 75% of all species on earth. That was fortunate for those who survived, because it gave them the evolutionary advantage to thrive, among them… mammals.

It’s a long line of evolution between those mammals and the first hominoids… but it does beg an interesting question; has the human race ever been close to extinction? Terrestrial dinosaurs were around for close to 200 million years. Humans have only been around… well, depends how you look at it. With broad brush strokes, the human animal… maybe 300,000 years… but we only began to exhibit what you might call “modern behaviour” around 100,000 years ago.

What would’ve happened if a pandemic-capable virus had shown up? Not much, because there was next to no overlap of communities distanced by geography. It makes one wonder, how often have there been these sorts of viruses over the centuries? Probably lots. But it was localized, there was no treatment, there was no social distancing… all that happened was a big wave of very sick people dying, and eventually through herd immunity and/or lots of death, the virus made its way through everyone it could, and then disappeared from existence.

But the human race actually did come close to extinction, and it wasn’t that long ago, geologically speaking. Well, this is one theory. It’s interesting, as usual, to research things on the Internet because you can always tell where the conformation bias lies. You can tell what people want to believe, and how they conform their evidence to support their side.

Around 75.000 years ago, there was a massive volcanic eruption — one of the biggest ever. The Toba Supereruption (Lake Toba, Sumatra, Indonesia) erupted and ejected some 2,800 cubic kilometres of magma. That is a staggeringly huge cube of hot, melted rock… and it left behind something the same size as the crater that took out the dinosaurs… an enormous 100 x 30 km caldera complex. Once again, it messed with the environment very significantly… the six billion tons of sulphur dioxide that were ejected into the atmosphere caused a global cooling of up to 15 degrees all around the planet for at least a few years, and it was many decades before things returned to normal. This lowered the tree line and snow line by about 10,000 feet… and for humans who were used to a dry, temperate climate, years of perpetual snow did not sit well.

There is a genetic bottleneck at the time when looking back at humans, meaning it seems we can all trace our DNA back to a small group (like a few thousand humans) who made it through that. The rest were wiped out. And to some extent, if that’s what happened, you have to assume we’ve all evolved from a pretty tough group of humans. This was survival of the fittest imposed in the harshest of ways.

This is one theory, and it’s very interesting. There is another group of scientists who claim that’s hogwash, and that the evidence doesn’t necessarily imply any of that.

Whatever the case, all of that I learned yesterday while digging into dinosaurs… you know how the internet can be… one moment you’re reading about what you were researching, like dinosaurs and their extinction… and 40 minutes later you’re reading about mentally ill monarchs throughout human history.

That’s a good little segue onto a topic I really don’t want to touch here. I had a whole thing written out, and indeed, I could write a book on my thoughts with respect to American politics of the day, but this is a scientific and statistical endeavour, ostensibly aimed at keeping track where we are with respect to this pandemic. On that note, it’s not irrelevant to point out, as I have earlier, the shortcomings I see when it comes to leadership pulling in different directions, etc etc. But I just deleted many paragraphs that delve into far more detail, and will leave it at that.

OK, one paragraph. I worry greatly for the great country of the United States of America. Every single day, thanks to the actions or words of just one man, the chasm that separates two groups (big broad brushstrokes here: Republicans and Democrats) — gets a little bigger. It started on day 1, lying about the inauguration crowd size. “Who really cares” is really what should have been the answer, but he chose to lie about it, then double down on his lies, then make others lie for him… it was bewildering, to be honest. What the hell is going on? There was incontrovertible evidence… pictures and witnesses and everyone who was there… but no. It ended up with “alternative facts” trying to be jammed down our throats. All of this on day 1 of his presidency. And since that day, whenever he says or does something that is completely unpresidential, both sides rise to the challenge. And while the argument rages on about who’s right and who’s wrong, the country slides a little bit more downhill. This is not to bash on Republicans and Democrats… there was a time when both those parties worked in harmony for the greater good of the country, especially in times of crisis. I really wonder how repairable this is now. Long after Trump is gone, the degree of bipartisanship needed to successfully guide a country — may not be achieved for many, many years. And I’m not interested in the bullshit arguments of what a great job he’s presently doing. He’s not. I don’t use vague handwaving and gut feel to come to my conclusions, I use hard facts. As you may recall, this entire project of charts and graphs and light commentary started with a simple exercise of trying to track Canada’s response to this crisis as measured by comparing the U.S. and how they were doing. And comparing them to Italy, who was ahead of them. The short answer now is: Awful. Brutal. Look at the numbers, look at the graphs. This isn’t fake news, this isn’t opinion. These are their numbers. These are confused people. These are hospitals that can’t keep up. These are states and leaders with mixed messages. These are deaths. These are the preventable disastrous blue line and its associated numbers, towering over the green, red and black ones below it. This is failed leadership, from the very top.

Sorry for the long paragraph… but I did say, just one paragraph. But, some numbers… Canada, today, flat or better growth all across the country. U.S…. more deaths today than the number of new cases in Canada. Also U.S., more deaths today than the entire number of known cases seen in B.C., active or resolved, since the beginning of this pandemic. And finally, U.S., more new cases today than all of what Canada has seen, combined, since day one. By the end of the weekend, the U.S. will have seen its one millionth case. Canada will be below 50,000. That same proportion maps to deaths. And some quick math for you… no, the population of the U.S. is not 20 times that of Canada. Not even 10. As President Trump likes to sign at the end of many of his Tweets: Sad.

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By |2020-10-08T01:24:50-07:00April 24th, 2020|Categories: COVID-19 Daily Report, The First 100 Days, Politics, Science of COVID-19, Travel Stories, Philosophy, Art & Literature|Tags: , , , , , , , , , , , , , , , , , , , , |0 Comments
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Day 20 – April 5, 2020

When the historians who will ultimately document the great pandemic of 2020 begin their work, they will be asking themselves some tough rhetorical questions, many of which will begin with the words, “I wonder why they didn’t….” Indeed, some of those questions are being asked today, in the present tense, and good answers are not forthcoming. When those historians finish their books, most of them will have a chapter titled, “The United States of America”. Often, underneath the chapter name, there is a chapter subtitle… sometimes a little more detail, sometimes a quote. Usually in italics… you know what I mean. This particular subtitle will say:

“I don’t take responsibility at all” — President Donald J. Trump, March 13, 2020

Today is Sunday, “silent day” here in B.C., where the people upon whose words our futures (near and far) may depend, take a well-deserved break. Indeed, as loud as it gets at 7pm every night around here… it gets just as quiet at 3pm on weekdays when the only words you might hear are, “Shut up — Dr. Henry is speaking”. Today is their day off, so my B.C. number is just a guess bases on the averages of last week — I will fix it tomorrow when we get real data. But I’m guessing it’s pretty close.

Until recently, none of us had even heard of Dr. Bonnie Henry… but now, we all want to adopt her. And it’s not just the calm, soothing voice of reason that’s so enchanting… it’s the actual substance of what she’s saying. She’s not making it up as she goes along. She’s not up there to make herself look good. She’s not up there incoherently throwing blame around. She’s surrounded herself with excellent people who she consults on a continual basis. She’s not afraid to admit she was wrong, and, accordingly, she’s willing to course correct… which, if you read back on the evolution of this emerging pandemic in B.C., has happened more than once. She is, in every sense of the word, a leader.

On the day Donald Trump spoke those words, there were 2,300 known cases of COVID-19 in the USA. By that point, Italy was well aware they had a serious problem on their hands. They were at close to 20,000 cases and growing quickly, and they had begun throwing the proverbial kitchen sink at it in every feasible way. Pandora was out of the box, and the trajectory was not looking good. Everybody was paying attention, and everyone was making plans.

In Canada, on that day, there were 198 known cases, 64 of which were in B.C. If we were to map our growth rates to match what’s happened in the U.S., Canada would presently have 29,500 cases (we’re at 15,500) and B.C. would have 9,500 (we’re at 1,250 or so). And Italy, had they continued that same trajectory, would presently be looking at 26,300,000 — an unlikely number for other reasons, but that’s what the math implies if you leave this thing alone to propagate unchecked in an environment that could support that growth.

On March 13th, here in B.C., the only orders that were In place were that travellers returning need to self-isolate for 14 days, and that all gatherings of more than 250 people should be cancelled. Physical distancing as we know it today had not yet been implemented. And as we all know, a lot has changed since then… here, at least… not the least of which are the social distancing orders.

There are places in the U.S. at this moment where none of these sorts of orders are in place, and if they are, they are not being taken seriously or enforced. It boggles the mind to think that while we’re having a quiet Sunday here, there is a church in Louisiana where today 26 busloads of people arrived for services. People want to start talking about how we emerge from this, and it’s a complicated question because the world is a complicated place, where lots of different things are going on in lots of different places. The answer to how and when B.C. emerges from this will likely be very different than Louisiana.

B.C. has a population of 5 million. Louisiana has a similar population of 4.7 million.
On March 13th, B.C. had 64 cases. Louisiana had 77.
Today, we have 1,250 cases. Louisiana has 9,150.

What a difference real leadership can make.

 

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By |2020-10-10T01:01:29-07:00April 5th, 2020|Categories: COVID-19 Daily Report, The First 100 Days, Follower Favourites, Politics, Travel Stories|Tags: , , , , , , , , , , , , , , |0 Comments
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Day 15 – March 31, 2020

You know that feeling you used to get back in school, when the teacher was handing back tests? The anticipation/dread… moments away from finding out how you did. Maybe you should’ve studied a bit more. Maybe you knew the material, but dammit… you froze, and blew it. Maybe you did ok, but almost certainly you made some stupid mistake.

That 5-second rush of emotion as she calls your name or just drops the marked test onto your desk… just before you flip it over to reveal your grade… that’s the feeling I get every single day when Dr. Bonnie Henry steps up to the mic to begin her update.

I find myself rooting for what I know would be good numbers. I know my charts and I know the math. I know exactly what number indicates the tipping point between this being a green day or a red day… and I find myself thinking the same thing I’d be cheering if I’d just bet zero on a roulette wheel… come on green. Come on.

Today was most certainly a green day, but, as usual, we’re still in this grey zone. Dr. Henry, intelligently, never leans past cautious optimism, and keeps talking about how “we’re two to fours weeks away from knowing”. and “this is a critical juncture”.

There are two parts to that.

Keeping in mind that we’ve been locked-down longer than a week, and that the incubation period is at most 14 days, we’re less than a week away from knowing what that particular impact has looked like. All indications with respect to that are optimistic. There’s no doubt our numbers in this province are trending favourably. For now.

BUT… there are people who will have gotten sick after that cut-off. And the people they’ve infected. And people who’ve arrived since the cut-off, and the people they’ve infected. And the people who are simply not following physical-distancing guidelines, etc. It takes a while for all of that to work its way through.

Along with that comes a serious reality check which is now being brought to light… that if this whole lock-down thing is the right way to do things (and it certainly is), we need to be prepared to do it for quite a while. At least in B.C., there’s zero chance of any of these standing orders being modified before the end of April, but it’s likely to be a lot longer.

Looking at the rest of Canada… there are some possibly-concerning numbers coming out of Quebec, but what’s interesting is that overall, the country’s numbers are doing reasonably well. I’m not close enough to what’s going on in Ontario and Quebec to say anything intelligent about it, other than to point out that Ontario has twice as many cases as B.C.. and Quebec has twice as many as that. Those combined ON/QC numbers are going to strongly influence the national numbers. Kind of like a federal election. Out east, they’re on their own “lock-down period vs. incubation period” countdown, so let’s wait till they’re clear of that before we start making assumptions. There’s green in that column too.

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By |2020-10-08T01:26:08-07:00March 31st, 2020|Categories: COVID-19 Daily Report, The First 100 Days, Politics, Philosophy, Art & Literature|Tags: , , , , , , , , , |3 Comments
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Day 14 – March 30, 2020

In Stephen Hawking’s remarkable book “A Brief History of Time”, he mentions in the introduction that he was advised that each formula he put in the book would halve the sales. Zero formulas, one million sales. One formula, half a million sales. Two formulas, a quarter-million sales. And so on.

By the way, that is exponential growth (well, decay, in that case). Which is what I’m going to talk about, but it’s also why I will try to include as few formulas as possible. Let’s stick to what’s important. Like, driving a car. Gas pedal, go. Brake pedal, stop. Steer where you want to go. That’s basically it, and you don’t need to understand the magic taking place under the hood to make good use of the car.

So, speaking of cars… let’s say you’re in your car, and you want to go from 0 to 100 km/h. My first car did that in about 18 seconds. My current car does it in 2.9. Both of those numbers are insane, but for completely different reasons.

Let’s look at the new chart I’ve added, which is a logarithmic graph of all the same data… and some dotted-dashed lines I’ll explain below.

You car will follow an acceleration curve, which… interestingly, for a supercar like a Ferrari, will look a lot like the Italian line on the logarithmic chart. A more modest car, like a Kia, will look more like the South Korea line.

Ooohhh, wait a minute, we might be onto something here…

All cars eventually hit a top speed where they are no longer accelerating, and when they do, like the Kia/South Korea line almost has, it flattens out to a near-zero slope. That Ferrari/Italy line will flatten out too, eventually, but as we can see, at a much higher level, and it’s not there yet… but trending that way.

The Canada line has been skirting the left side of its attached dotted line, and is now a little on its right. What’s it most looking like? Thankfully, very evidently, not the MegaSupercharged Corvette/US line, whose pedal is still floored and heading to a scary top speed. Whether Canada trends more like South Korea or Italy depends to be seen. Eyeballing it would imply somewhere in between. The math implies something similar. The reality remains to be seen with what happens in the critical next couple of weeks as the incubation window vs. social isolation window overlap winds down.

When I started doing these daily charts, which seems like years ago, but it’s actually only been a couple of weeks, my intention was to provide an apples-to-apples comparison of how we were doing vs. other countries, especially the US. We were roughly 10 days behind them, and they were roughly 10 days behind Italy. And I threw in South Korea so we’d have a good target to aim towards. There were the original little charts showing each country independently, to illustrate what their curves looked like, and the consolidated chart of all of those on top of each other at the same scale. And then I added B.C. because it’s behaving a little differently than the rest of Canada, and most of the people reading this (including me) live there.

I am not going remove any of that, because they’re still interesting to look at, especially if you’ve been following it from the start, but the scale of the numbers and the squashing effect renders the visuals less useful than before. You can zoom in and definitely see the red line detaching from the blue one. You can definitely see the yellow line detaching from the red one. But as time goes on, it’ll just turn into a thick purple line.

Which leads us to the new graph I added today, one you’ve likely seen elsewhere… a logarithmic representation. This one is a little cleaner because it only has my 5 data lines…. and 4 dotted-dash lines, which refer to a topic I brought up yesterday, and have everything to do with the rate of acceleration — the Time To Double. The steepest of those lines, the smallest dots, is a TTD of 2 days. The next one over, that the Canada line is riding and now hopefully falling off of, is a TTD of 3. Below those are TTDs of 5 and 10.

There is no magic number as to what’s good… the bigger the TTD, the better. The more manageable things are. The less the avalanche of cases.

Fun fact… do you remember in school, where some of you hated math, and argued with the teacher that you’d never in a million years need this in the real world… well, haha, guess what, what we’ve been talking about here is differential calculus, and the acceleration we’re looking at is the first-order derivative of these graphs and their data. And the rate of change of that acceleration is the second-order derivative.

Hey, sit down — I promised, no formulas. There’s no test. But… now you have some understanding at what it is the experts are looking at closely, and, in many cases… worryingly… the rate of change of the acceleration. And its implications with respect to time to double, and the planning and contingencies that needs to be in place for those different scenarios. When they talk about flattening the curve, this is the graph to which they’re referring. And in a perfect world, all of those lines start flattening-out to the right. I’d much rather be writing about rates of deceleration.

One day…. hopefully sooner than later.

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By |2020-10-08T01:26:08-07:00March 30th, 2020|Categories: COVID-19 Daily Report, The First 100 Days, Travel Stories, Sports & Gaming, Philosophy, Art & Literature|Tags: , , , , , , , , , , , , , |0 Comments
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Day 13 – March 29, 2020

Today’s update will be brief… because B.C. doesn’t update numbers on Sunday, so anything I post is incomplete and/or speculative. Just for fun, I’ll do just that… we do have numbers for Ontario and Quebec (as well as a few, much smaller numbers from other provinces), so I am going to make an educated guess about how many new cases B.C. had today, fill it in with all sorts of warnings that this is pure speculation based on math, and we will retrofit and adjust things tomorrow when the official numbers are announced.

Given recent trends, I’m going to assume 105 new cases today, bringing B.C.’s total to 989, and adjusting that to the national total, 6,385 total cases in Canada. Which, might I add, if accurate, would make it a pretty good day all around. But I won’t comment on any of it until we have some real numbers; more on that below.

But while I’m here, let’s talk about recent numbers and recent trends. Not counting today’s guesswork.

The “how often is it doubling” question is being thrown around a lot, in many different contexts. Let’s call it Time To Double (ttd). Since I am dealing primarily with new cases, I will focus on that.

The higher the exponential growth, the quicker the ttd. I’ve included a little chart below the graphs that shows the ttd with relation to the percentage growth. The cells highlighted in yellow show the crossover point where the number has doubled. In this example, how long does it take to double a 10 to a 20?

For 10%, it doubles somewhere between the 8th and 9th day.
For 25%, somewhere between the 4th and 5th day.
For 40%, it’s somewhere between day 2 and day 3.

[I've edited this post and removed some numbers — I'm not comfortable making projections based on guesses. Real numbers come out on Monday and I will provide more (accurate) detail.]

As I keep saying, we’re in the middle of this grey zone where the social isolation number hasn’t caught up to the incubation period number. Provincially and nationally. Every day we don’t see a huge spike is one day closer the bottom of the big rollercoaster drop I mentioned yesterday. But without real numbers, I think we’ll leave it at that for now… suffice it so say, we’re at a critical point here in Canada. It could go either way. Stay tuned. And stay home. I’ll have more to say about ttd and its implications in the coming days.

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By |2020-10-08T01:26:08-07:00March 29th, 2020|Categories: COVID-19 Daily Report, The First 100 Days, Philosophy, Art & Literature|Tags: , , , , , , |0 Comments
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