2017: Leonardo, Fibonacci and Fermat Numbers: It’s Not So Complicated.

In my previous post we had a math competition. Let me remind you of the task:

Using +, -, x, ÷ and (), make the row of numbers from 10 to 1 equal 2017.

That was an easy task, which got more complicated.

How about 9 to 1 with arithmetic equalling 2017? 8 to 1? 7 to 1? And down to just 1?

Before I could say ‘What January blues when you’ve got arithmetic in your life!?!’ I had answers from people in our fan club streaming in! And some of them (remember, there are different possibilities to get the same answer of 2017) were so wonderfully interesting, while others were so interestingly not-quite-elegant enough, that, well, I just had to share some of them with you…

Read on: A real math indulgent…

2017: Prime Numbers, Factorials, Primorials, Derangements: It’s Complicated.

As many will already know, the number 2017 is a prime number; that is, it can be divided without a remainder only by itself and 1. Must say, the theory of prime numbers is a wholly interesting one and an extremely useful one too, as any cryptographer will tell you :).

But today I’ll be writing about something different. See, based on the fact that 2017 is prime – or ‘simple’ – many, myself included, are anticipating a simple, straightforward and calm year 2017, especially since 2016 was a bit of a rotter. Let me show you why.

Like I said, prime numbers are those that can only be divided by themselves and 1 without leaving a remainder. Non-prime numbers are called composite numbers, incidentally.

Turns out that 2016 is not only a composite number but a very composite number! It has a whole eight divisors. Grab a calculator your smartphone and test it for yourself:
2016 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 7

Whoah! Even the quantity of divisors is anything but simple, since 8 = 2 * 2 * 2.

So what about other years? Was 1917, the year of the Russian Revolution, a ‘prime’ year, for example? No, it wasn’t. 1917 = 3 * 3 * 3 * 71. Just four divisors, but they’re kinda poignant – and prophetic of nothing much good.

So what about other very prime/simple years, and other very non-prime/non-simple ones? Ok, let’s narrow this down a bit to 1980 through present day…

Prime/simple years:
1987
1993
1997
1999
2003
2011

And in the near future there are a few more prime/simples:
2027
2029

(eek, that’s a lot of non-simple years until then)

The most non-prime/non-simple years were:
1984 = 2 * 2 * 2 * 2 * 2 * 2 * 31 (seven divisors)
2000 = 2 * 2 * 2 * 2 * 5 * 5 * 5   (also seven)

There were six divisors in 1980, and there’ll be six in 2025. All other years can be called semi-prime/semi-simple.

But I digress…

Now, in the popular British mathematical journal The Guardian :), readers were recently teased with a… brain teaser. In the blanks between the sequence of figures 10 9 8 7 6 5 4 3 2 1 you need to add arithmetic symbols (+, -, x, ÷, (),) – as many as you like – so as to get the number (year) 2017.

For example, if you add arithmetic signs as follows you get 817:
10 * 9 * (8 + 7 – 6) * (5 – 4) + 3 * 2 + 1 = 817

But how do you add arithmetic to get 2017?
10?9?8?7?6?5?4?3?2?1 = 2017

Come on, have a go!

As for me, in nine minutes I got the equation to equal 2017 by kinda wonky arithmetic (I made the ‘3’ and ‘2’ = ’32’!); then, in around 15 or 20 minutes I got the answer in a proper way without bending the rules. I say ‘a’ way: there are different ways of getting to 2017!

So, tried it yet?

Ok, let’s make it harder: Now take away the 10:
9  8  7  6  5  4  3  2  1 = 2017

Read on: How to make 2017 out of 1?…

2016: Only 52 Weeks, but So Much Done!

All righty. The Christmas tree’s been taken down, the New Year merriment appears to have vanished, and it’s still very cold and snowy. So what better time for a bit of taking stock in the calm, cold light of day January. Therefore, as per tradition (2015, 2014, 2013), herewith, a cursory glance back over my personal highlights my year…

The first thing I can say is that it was a relatively calm year. In all 92 flights – lagging quite a bit behind the previous year’s record of 116. All the same, a couple of months were very intense aviation-wise: 12 flights in March and 13 in September. On the other hand, I had my first whole month without flying anywhere at all in many years: November.

Now – a bit more detailed:

Read on: Any round-the-world trips?…

Enter your email address to subscribe to this blog
(Required)

Happy New Year from Central Moscow!

Happy New Year folks, and hope you all had great holidays!

You won’t believe this… but this post is about… RED SQUARE! // Incidentally, the square I consider to be the most beautiful spot in Europe!

I hadn’t been in downtown Moscow on New Year’s Eve since… oooh, 15 years ago! Yep – 2001 was the last time, on Pushkin Square watching the fireworks. But I’d never been on Red Square on New Year’s Eve. What?! So this year I decided to make amends…

So how was it? Well, actually, my overall impressions were… mixed. And it’s those mixed impressions that I’d like to share with you today.

Read on: Red Square was really something!…

Seven Books for Highly Effective Reading.

I regularly get asked which books should be read to build up a successful business. Students, start-uppers, managers, business owners – everybody wants a reading list! But that’s ok, for I do have some answers. However, I don’t believe one can become a businessperson by reading certain books, no matter how highly recommended they come. Still, there are some great books out there that sure won’t do any harm reading; eight of which I’ll tell you about in this here post…

I divide business books into two major categories.

The first helps readers with what needs to be done to build up a successful business; the second – how not to do it. The boundary is often blurred, but taken together books from both groups can help readers avoid both spending valuable time and resources on re-inventing the wheel again and again, and make the exciting business of… building a business a constant struggle.

Actually, there’s also a third category of books – works by legendary captains of business or government leaders, which instruct by example how things should be done. Such books are normally rather general as they cover such a broad range of business problems and unpredictable unexpectednesses, while also demonstrating limitless possibilities – albeit hazily. They don’t contain hands-on action plans, but they’re still well worth a read to get valuable overarching insights.

Many of the books in my list here were written quite a while ago – some even in the last millennium – so whole new industries and technologies of the 2000s are either hardly touched or aren’t touched at all. All the same, the books are still relevant to modern times; their main ideas can easily still be applied to today’s digital realities. We’re living in an era of new technologies, but man’s nature is still the same, and folks tend to repeat the same or similar mistakes. Not all folks, mind: others do things right and their companies become widely recognized and respected leaders. Which is what I hope for everyone.

All righty – here we go. Happy reading – of this post and then the books detailed in it!…

 

Jim Collins. Good to Great: Why Some Companies Make the Leap…And Others Don’t

details

I’d call this the most important book in my business library. In plain language and with lots of practical examples, the author convincingly analyzes the traits commonly found in various types of leaders. This book is one of the few in my first category mentioned above: How to build a great business.

Read on: When New Technologies Cause Great Firms to Fail…

The First ‘Cybersecurity World Championship’.

I’ve a real soft spot for the disruptive thinking. I also like surprising astounding folks. And I like astounding folks in proper, worthy ways. I like it when what we do makes jaws drop; when folks don’t believe – but try anyway, then they get to like it, and then they love it.

Ok, all a bit abstract so far. Let me be a bit more concrete…

Our latest jaw-dropper is… a desktop simulator game for cybersecurity! Never heard of that before? You wouldn’t – it’s never been done before!

cydmfeaxuaa3voi

It goes by the name of KIPS – which stands for Kaspersky Interactive Protection Simulation. It’s a business teamwork cybersecurity strategy simulation game, which lasts around two hours and is intended to encourage initiative and analysis skills and an understanding of cybersecurity measures. Must say, I wasn’t expecting KL to enter the gaming market – ever; but why not, if it gets the messages across best? And we’ve gone from green (i.e., inexperienced) gaming startup to green (i.e., KL corporate green:) full-fledged gaming provider in no time at all.

And this Thursday – December 1 – we’re holding the first world championship on KIPS!

Read on: No joke folks. This is really happening…

Darwin’s Patent Panopticon. – pt. 2.

 

The patent ‘landscapes’ of different countries can curiously differ aplenty, with each country’s inventions have a specific ‘aftertaste’.

For example, US patents are generally characterized by their being practical, with a sometimes very utilitarian slant, and with pedantic attention to detail. You can see all that for sure in my Superlatively Subjective Top-5 Most [insert the appropriate] Patents Ever :).

Russian inventors on the other hand can be generally characterized by their ambitiousness – sometimes even to the extent of having ‘cosmic’ yearnings in trying to change the world, the planets, the universe – but ‘cosmic’ also in the sense that their inventions can be zanily ‘out of this world’ crazy. Need convincing? Ok, I’ll convince you – with another Top-5 – this time of Russkie patents…

And we’re off…

The Superlatively Subjective Top-5 Most [insert the appropriate] Russian Patents… Ever!

No. 5: Holy Moses!

Russian Patent Application No. 2013144180: ‘A method for ensuring the survival of Homo Sapiens and preservation of the gene pool of living organisms on planet Earth in conditions of worldwide flooding, global glaciation or other unexpected natural catastrophes’. Oh my gene pool!

You think the title’s long? Wait till you get a load o’ dis: the summary on the first page of the application is made up of just one sentence – containing 1182 letters! I really do sympathize with Russian patent lawyers who have to try and work out just what the *)&%^(+#!@! the author is on about. I mean, this one – somewhere in the middle of it you forget what the first bit was saying, so you stop and read it again – and again – and take notes in the margin in order not to lose track. I read it five times, and can now proudly ‘undertake to articulate the underlying essence of’ the invention in four words: a matrioshka-doll-like… ark :).

The device is to be crammed with microorganisms, seeds, animals, three Home Sapiens and other ‘genetic resources’, and installed at the top of the world’s tallest mountain out of harm’s way.

But what if the elements get a real strop on and even flood the mountains too? Well, then an inflatable dinghy would be jettisoned from the ark to sail about on the water’s surface until the level of the water falls sufficiently. Looks like they’ve thought of everything.

PS: Quote: ‘and after stabilization of the life conditions on the surface of the earth, the members of the team would descend the staircase down the mountains and a new era of renewal of life on the Earth would begin’.

PPS: Rospatent didn’t mess about in throwing this application out: it realized the serious trolling going on, and rejected it based on the lack of an invention. I was quite surprised prior art going back to the Bible wasn’t given as a reason :).

No. 4: They need to quit smoking not just tobacco.

‘If you wanted to quit smoking, but something always stopped you from doing so… well, now nothing can get in your way!’ That’s Patent RU2231371 in a nutshell.

I’m not sure I, nor anyone else in the world – including the authors! – know what the heck this one’s about, so, I’ll just quote the text so you can see what we’re all up against!

‘The contents of a vial of solution of calcium chloride after the ritual smoking of one’s last cigarette is poured into a container with a water solution of tobacco smoke, at end of the fifth or sixth day of not smoking, the doctor conducts a final session of hetero-auto-training, moreover, instead of the container ‘water of life’ in the final session the patient uses a third container, called ‘Word’, with a vial of 10ml 1% solution of dioxydine. The formula of autosuggestion is changed for the formula of a vow: ‘I’ve quit smoking’. After the final session the patient carries out a ritual of self-coding, for which is used 50ml of water solution of tobacco smoke and calcium chloride, into which is poured out from the vial the solution of dioxydine…’

Seriously?

I mean, just what were they smoking? Where was this written? An Amsterdam coffee shop? Colorado? Or, maybe the utter incoherence is a side-effect of quitting smoking using this method? Well, no matter really: the patent expired as the state duty didn’t get paid (“Dude, did you pay the duty?” “Duty? What duty, man? I’m not due tea; I want an espresso, man.”)

No. 3: Machine gun dung!

What can’t you do in a tank? Rather a lot, actually; it’s easier to think of what you can do in a tank and rule out the rest.

So, like, what if you need to… you know – use the bathroom? I mean, you really need to go and just can’t wait? Well, you can’t just leave the tank for a few minutes can you?…

… Enter patent RU2399858, which offers to ‘remove waste of the vital functions of a tank crew via an artillery installation’! And here’s the main thing: without depressurization of the tank!

Read on: WALLOP! Oops!…

Darwin’s Patent Panopticon.

Regular readers will have noticed I haven’t ranted and raved about patent trolls of late. What, all’s quiet on the troll front – they’ve stopped being trolls and started doing something useful and honest instead? You guessed it: no. Alas, every day, stories about their audaciously outrageous stunts can be found in the news if you look in the right places. It’s business as usual for the trolls; it just doesn’t make headline news.

Sometimes the news comes to you – at least, to us: just the other day we received a lawsuit from WETRO LAN for alleged infringement of a patent on filtration of data packets, or, to be more precise – a firewall. WHAT?

So, what they’re saying is, you can patent a widely-known, universally-applied device, er, which was invented more than a decade ago? Just in case you missed that: the tech had been around for ages BEFORE this patent appeared! And now they demand a fee for use of their patented tech! Hold on… WHAT?!

Yes that’s what they’re doing: since 2015 they’ve brought lawsuits to 60+ companies, many of which developed firewalls long before the patent existed. But the industry is taking the lawsuits in its stride; it even name the patent Stupid Patent of the Month.

Equally absurd is their targeting us with a claim. We’re not ‘easy pickings’ by far for an attack, since we always stand our ground and never give in to patent trolls. And we never settle out of court either – as there’s never anything to settle, as we ain’t done nuttin. The only thing we do is return fire occasionally. Well, why not? Their patents will be invalidated sooner rather than later – so we strike while the iron’s still hot there’s still an iron. And no matter what, we’ll continue the good fight – until the last bullet – their bullet.

But all this talk of fighting – no matter how necessary it is – it’s still a bit lot of a mood spoiler. So, to lighten the spirits and stay positive and optimistic, I decided to blow the dust off the archives to come up with a collection of the strangest, craziest, maddest and most paradoxical patents ever. If anything, just so you’ll know where they may bite you in the future for ‘gross violations of patent law’ :).

OK, off we go…

The Superlatively Subjective Top-5 Most [insert the appropriate] Patents Ever

No. 5: The guillotine – the best remedy for a headache.

Warm, sunny, summer weather has its downside. Of course, summer should be all about the beach, pinacoladas and swimsuits, but for that one has to be in good shape. But how can one be in good shape after a fall, winter and spring of non-stop gorging on high-calorie foods? One simply can’t! Well, one could – with a decent diet and exercise – but how unoriginal and folksy and old-fashioned is that? There had to be a hi-tech solution; after all, the 21st century was just around the corner. Therefore…

Folks, meet US patent 4344424 – the ‘anti-eating face mask’. Hannibal Lecter – move over!

ip2

PS: Makes sense to ‘invent’ and patent anti-eating handcuffs too – to chain you to the radiator with so you can’t reach the fridge. In just two weeks you’d have that beach-bod you’d been after :).

Read on: Always ask for a top-up in the pub…

The Uncalculated History of Mechanical Calculators.

My recent meet with the Pope jogged my memory about the existence of such forgotten gadgets as the arithmometer. The device being used may still be remembered by some in my generation, while to younger generations the ‘contraption’ is an antique – a relic from eons ago – when there was no Facebook (imagine?), and not even any Internet (WHAT?!).

But on this pre-digital analog bit of kit once the accounting of the whole world depended, and more besides. Therefore, this post is all about arithmometers, because history is worth knowing – especially when it’s as intriguingly quaint as this :).

What an invention! Of course, you could read all about it on Wikipedia, but here I’ll give you a summary of what are, IMHO, the highlights.

Mechanical calculators appeared… more than 2000 years ago! The ancient Greeks used them! What, didn’t you know? I kind of did, but – once again (eek!) – my memory later failed me. So I looked up the details to refreshen those synapses.

Aha – here she is, the beut! The Antikythera mechanism – originating one or two centuries BC; that is – 2100+ years ago!

The Antikythera mechanism is an ancient analog computer and orrery used to predict astronomical positions and eclipses for calendrical and astrological purposes, as well as the Olympiads, the cycles of the ancient Olympic Games.

Found housed in a 340 millimeters× 180 millimeters× 90 millimeter wooden box, the device is a complex clockwork mechanism composed of at least 30 meshing bronze gears. Its remains were found as one lump, later separated into three main fragments, which are now divided into 82 separate fragments after conservation works. Four of these fragments contain gears, while inscriptions are found on many others. The largest gear is approximately 140 millimeters in diameter and originally had 223 teeth. (Wikipedia)

Oh those Greeks!

Fast forward some 1600 years, and the next example of a mechanical calculator gets drawn by Leonardo da Vinci. That device was a 16-bit adding machine with 10-tooth cogs.

Another long pause – of 120 years…

Surviving notes from Wilhelm Schickard in 1623 report that he designed and had built the earliest of the modern attempts at mechanizing calculation. His machine was composed of two sets of technologies: first an abacus made of Napier’s bones, to simplify multiplications and divisions first described six years earlier in 1617, and for the mechanical part, it had a dialed pedometer to perform additions and subtractions.

Two decades later…

Blaise Pascal designed [a] calculator to help in the large amount of tedious arithmetic required; it was called Pascal’s Calculator or Pascaline. 

30 years later – the ‘stepped reckoner’… 

– A digital mechanical calculator [was] invented by the German mathematician Gottfried Wilhelm Leibniz. It was the first calculator that could perform all four arithmetic operations. Its intricate precision gearwork … was somewhat beyond the fabrication technology of the time.

And after that, a veritable arms calculator race ensued…

[In 1674 came] Samual Morland’s ‘arithmetical machine’ by which the four fundamental rules of arithmetic were readily worked “without charging the memory, disturbing the mind, or exposing the operations to any uncertainty” (regarded by some as the world’s first multiplying machine).

In 1709…

[Giovanni] Poleni was the first to build a calculator that used a pinwheel design.

And here come the warm jets real arithmometers, not their precursors…

Thomas de Colmar‘s [arithmometer] became the first commercially successful mechanical calculator. Its sturdy design gave it a strong reputation of reliability and accuracy and made it a key player in the move from human computers to calculating machines that took place during the second half of the 19th century.

Its production debut of 1851 launched the mechanical calculator industry, which ultimately built millions of machines well into the 1970s [!!!!]. For forty years, from 1851 to 1890, the arithmometer was the only type of mechanical calculator in commercial production and it was sold all over the world. During the later part of that period two companies started manufacturing clones of the arithmometer: Burkhardt, from Germany, which started in 1878, and Layton of the UK, which started in 1883. Eventually about twenty European companies built clones of the arithmometer until the beginning of WWII.

Meanwhile in Russia, in the same decade (1850-1860), Pafnuty Chebyshev made the first Russian arithmometer.

Less than a generation later, another resident of Russia (a Swedish immigrant engineer) began line manufacture of the Odhner Arithmometer

From 1892 to the middle of the 20th century, independent companies were set up all over the world to manufacture Odhner’s clones and, by the 1960s, with millions sold, it became one of the most successful type[s] of mechanical calculator ever designed.

Fast forward to September 28, 2016, and a certain Eugene Kaspersky gives Pope Francis one such Odhner Arithmometer:

https://www.instagram.com/p/BK6AsyGguNu/

Its industrial production officially started in 1890 in Odhner’s Saint Petersburg workshop.

Read on: A bit of subjunctive mood…

Inter-NYET!

Ready? Rant begins – NOW!…

After the Chinese Rail Non-Fail the day before, I could not berliiieeeeeeeve the total fail in a Chinese airport the next day. And not just any old Chinese airport, but the main international airport of China’s capital, no less! The fail was an Internet fail, folks. And the fail was catastrophically, categorically total.

Now, the airport’s immense, beautiful, and just super all round (despite the inevitable Chinese petty tortures/mess-ups), with all its stores, escalators, fountains, sculptures… everything done contemporarily, tastefully and expensively. Everything great except for one thing: no proper Internet! Even mobile Internet ain’t happening, even with a foreign SIM, i.e., with a foreign (not Chinese) number, which doesn’t fall under the Great (Fire)Wall of China. I mean, there is some signal but it’s so weak you might as well not bother.

And I wanted to connect to my blog to write a few ‘on the road’ notes as I like to do, or some ruminations on matters of great importance, plus upload some photos as I like to do, but no – it wasn’t to be. What’s the Chinese for ‘Where’s the Internet, dammit?!’ Please let me know someone. I’ll have it printed on a t-shirt and wear it next time I’m there.

And the ruminations on matters of great importance this week were as follows:

Let’s talk about something that’s so essential to everything that, well, everything – or at least a great many things – wouldn’t exist or be possible. Something so vital that without it life would lose much of its meaning and would become unbearably dull and sad. Something that forms the basis of almost all our modern activities, without which all noble intentions, the reaching of worthy goals, and the securing of a reasonable amount of happiness of various calibers – everything! – would not be possible.

You guessed it yet?

Yep: electricity! What did you think I meant? (Answers > the comments; and keep it clean!)

Just imagine for one minute what would happen if all of a sudden there’d be no more electrical current coming through the sockets – forever! I mean, really: no more, finito, kaput, for ever more!

It would be bad, of course. Real bad. But it wouldn’t be apocalyptic, quite. Life would go on; only – by candlelight and be horse-drawn and with sails!

ATTENTION – QUIZ-QUESTION! PRIZES GUARANTEED FOR THE FIRST RIGHT ANSWER! 

What’s the name of that sci-fi flick where unfriendly invisible aliens that live on electricity land on earth? Who then consume all the electrons in all the cables and even in natural phenomena like thunderstorms? Where at the end the protagonist, by the light of a candle, bemoans how the thunder’s pealing and the rain’s pouring down but there’s no lightning, and probably never will be?

Update/PS: Further to my emotional rant regarding Beijing’s main airport, a few pics for your viewing pleasure (I finally reached a country that provides good Internet; imagine?! So radically technologically progressive!!).

And here’s pic I took from the plane: morning dead calm, and a column of smoke (or steam) rising up from the middle of a cloud.


That’s all for today folks; back tomorrow…