The writings of Reinko Venema. 


 Click the pic for the history of this main page... (The archives)

 

Archive of this home page
going back to 2005.

  

-Dring dring, there the door bell goes. Reinko opens the door and it is Arty! Hey come on in Reinko says. 

Arty: Shit man, all these years you let me dry out in the beautiful Afhganistan landscape and now I must come here to eat cookies?

-Reinko: Oh, you got the message wrong: In this country it is illegal to send so called cookies along with your website. 

But I cannot control the cookies my dear Arty, that problem is around for many years: 
Visitors get a cookie, but it is not done by  me... .

Arty (looking difficult): So what do we need to do?

-Reinko: We must eat the cookies before they eat us..

 Arty (smiling): Ok ok, I have to go back to my home country, so bye bye 

 

recen

     

(22 March 2023) Oh oh an awful lot happened, for example the Vlad was indicted by the ICC for the kidnapping of thousands of children. It's a symbolic move but now Vladimir Putin can be arrested anywhere in the world and if he goes to member countries of the ICC it is obliged that he will be arrested. 

That was funny news but lets go fast to our two items for today: 

 Item 1) What happened in Suisse over the weekend? It looks weird...
 Item 2) EU donating one million artillery shells to Ukraine! YES!!!

 Item 1) What happened in Suisse over the weekend? It looks weird...

The Credit Suisse takeover by USB this weekend has gone weird: About 17 billion € in so called AT1 bonds were wiped out but shareholders not. This was possible via a change in legislation over the weekend.  

It looks like a total panic over there at the regulators, an alternative explanation is that they wanted to keep the Saudi & other mideast money at friend and as such did choose for this weird change in law. 

Other countries have come out stating such a thing would not be possible over there: First the shareholders take a beating and that's it. 

Last week in the USA suddenly all amount in the accounts were guaranteed while usually there is a ceiling of 250.000 US$ in place. But that change is not very significant, at most the money streams to the FDIC must double and of course that must be paid by the banks and the holders of big deposits at those banks. 

But the Swiss thing is of another order. Why change the order between bondholders and shareholders? Well lets see and wait how this all will pan out. 

Further reading from Bloomberg: 

Exit Bankers, Enter Lawyers in Credit Suisse Saga 

At last I want to remark that these bank runs are still pretty weird, the problem of uninsured bank deposits is a problem that is about 300 years old. Why is there no simple plain vanilla commercial insurance against this kind of bank defaults? 

If memory serves, before the financial crisis there were also product like buying a AAA-rating if you wanted to issue bonds as say a US municipality. Now those were crazy products if not well capitalized but stuff like uninsured bank deposits? 

It beats me as why this is a problem, at worst it's a problem for badly run banks. 

 Item 2) EU donating one million artillery shells to Ukraine! YES!!!

Yes, this is the stuff making me proud on the EU. It seems to be a package of two billion € where one billion is meant to deplete existing ammo depots in Europe and the other billion for procurement of a similar batch of artillery rounds.

All 155 millimeter diameter of course, the procurement is done inside the EU and also Norway who is not a full EU member but we have close ties in a lot of stuff.  

__________ 

In another development inside Crimea a bunch of Russian cruse missiles exploded while they were transported via rail. The attack was done with drones it was rumored, but were they Chinese drones? Right now the Chinese prez Xi is visiting the Vlad so using Chinese drones would be and extra funny detail in this all. 

That the end of this post, I didn't have time to make enough pictures so all I have is something unrelated to the above items. It is about the rather silly way robots are often portrayed in videos about artificial intelligence.

Why is it always so weird and stupid? From female shaped robots with boobs to what you see below a human in a plastic robot suit. To at the bottom of the picture where computer generated images depict robots typing on laptops...   

 

Why always so fucking stupid? Robots typing with a speed of about 100 characters per minute? Why don't they plug in a UBS cable to that laptop and since they are robots anyway: Why would they need a laptop in the first place?

End of this update, let me try to find that button named 'publish website' and thanks for your attention. Till updates. 

  

(17 March 2023) The financial markets are still spooked by all that is happening in the banking sector importantly the sell off in bank shares. In my view there is too much crisis for too little reason. Anyway the good thing is the ECB raised rates by another 50 basis points today so no weak knees or so. 

It's late already so lets go to the two items for today:

Item 1) All quiet on the Bakhmut front?
Item 2) Advertisement for latest math post: new 4D numbers!

 Item 1) All quiet on the Bakhmut front?

From the channel Veteran combat reacts I found these screenshots that show amazing little fighting in Bakhmut. I think the name of the guy running that Youtube channel is Paul and Paul is constantly worried about a possible fall of Bakhmut. And often say they should retreat. 

I too became more and more worried the last weeks but as usual most of the time the Ukrainians perfectly know what they are doing. There were only three attacks reported in the last 24 hours so we can wonder if the Wagner group is running out of steam.

Click on the picture if you want to see the video:

 

Video title: Ukraine's Secret Weapon Turns Russian Tanks into Scrap! 16 Mar 23
Link used: https://www.youtube.com/watch?v=Vyb_AuDMYsg 

Paul discusses one of those mine throwers that are given to Ukraine. Before this war I never heard of them but there are weapon systems that can throw anti tank mines rather precise over long distances. 

I agree with Paul that it is important Ukraine gets those kind of advanced weapon systems. After all Russia is also throwing in her big tech in the form oh hyper sonic rocketry. 

So Ukrainians should have good stuff too in order to defend herself against a crazy invasion done by a crazy form of Kremlin mindset.  

 Item 2) Advertisement for latest math post: new 4D numbers!

A few days back I posted some math where on 7 different spaces I more or less solve the same easy to understand differential equation. I will be the first to remark that this is a very easy differential equation, you only search for a solution where the derivative is the square of the position. 

If you phrase it in words like above it sounds very complicated but actually it is very simple. A possible solution is for example the geometric series and that is century old simple plain math stuff. 

Anyway on 7 different spaces I do this, three spaces are just plain vanilla math spaces like the real line, the complex plane and the plane of split complex numbers. The other spaces are crafted by myself and include the 3D complex and circular numbers and their four dimensional cousins and nephews.
The result is that all results are very similar, the solutions only become more complicated if you look at higher dimensions but basically it is all the same.   

Why should that be important? Well on this little planet there is a profession known as math professors. And the overwhelming opinion over there is that the only possible reasonable expansion of the complex plane is the 4D quaternions.

In my view this is not correct, stuff like that is only the historical timeline along such number systems were found and that's all. There is not much logic in jumping from the complex plane to only the quaternions, any person that understands a bit more about math will say this is the behavior of people that have some mental thing. 

And yes these people have some 'mental thing' for sure. If you look at the simple list of results on 7 different spaces and you keep on telling that historical nonsense, you as a math professor must have a serious mental thing.

Click on the picture to land at the new post: 

 

Post title: Comparison of the ‘Speed = the Square’ equation on 7 different spaces.

By the way the background picture is not a photo or so. It is one of those many AI generated images where the developments go fast and furious. Compare that to math professors where it always goes slow and avoid always the long term progress.

So if you are not into math that much, the above background picture was made by Midjouney version 5 and in case you have nothing better to do you could look at the next video: You Won't Believe MidJourney V5 is This Good
Link used: https://www.youtube.com/watch?v=rxhW0SCsPu8

It's late so let me hit the button 'publish website'. Thanks for your attention.

  

(15 March 2023) The training of Ukrainian tank crews is more or less in full swing. It helps a lot that they already know how to drive those other tanks, but likely there are a lot of new technical details to learn when it comes to that Leopard tank stuff.

 

The first use of JDAM BOOM stuff was reported. And there also seem to be gliding JDAMs that have two small wings and glide to their target. Well be careful my dear Ukrainians but I wish you luck with the usage of them.

At the Pentagon they likely see water burning: Reinko wishing Ukrainians good luck with the air power stuff? What has happened? Nothing to worry about my dear Pentagon, after all it is much better that Ukraine wins this conflict and yes sometimes over here the goal serves the means.  

Today's first item is about that weird panic on the financial markets in particular bank stocks. So lets go there: 

Item 1) SVB risk team: The physics professors of US banking?
Item 2) A small example of the new Midjourney5 that will come out this week.

 Item 1) SVB risk team: The physics professors of US banking?

The collapse of the Silicon Valley Bank was swift and brutal. And because we now have three banks collapsing in just a few days time, do I think there will be a new financial crisis? 

Me too I am in the camp that this is not very likely. For example just before the financial crises back over a decade the Federal Reserve so called Z1 release indicated that the entire US financial sector would need about 2.4 trillion US$ in fresh extra debt in order to maintain business as usual. Of course that would never happen, back in the time a trillion had much more value as a trillion today. 

If you listen to the details of the SVB collapse they are staggering in stupidity: They sit on 100 billion of deposits and bought a lot of long term treasuries in order to squeeze out that extra 1 or 1.5%. Zero protection against a decline in the value of those treasuries. That is not needed because they are hold to maturity and as such the book value is not the market value. I mean this is stupid by all standards, so I do not expect this practice to be widespread throughout the banking system.  

At least at one point in time it looks reasonable that at least one employee at SVB remarked that may be they should guard against downside risks, but the management or risk department did just nothing. Well that looks a lot like for example physics professors behave in my little corner of understanding the universe. 

No matter how often I remark that if you think your precious electrons are tiny magnets, shouldn't it be time to conduct some experiment that proves electrons are indeed tiny magnets? 

That is because to me anyway it looks like they just don't behave like tiny magnets. Physics professors, weird and stupid as they are, are not capable of figuring out for themselves that if electrons have two magnetic poles, they must be neutral when it comes to magnetism. On top of that it is known that electron pairs are neutral when it comes to magnetism.

But unpaired electrons are not neutral to magnetism, hence the only logical conclusion is that electrons are magnetic monopoles. If you use that small change in thinking this explains a lot, for example why do we only observe electron pairs but never electron triples or quartets?

In my view the bankers from SVB are even more stupid as physics professors who believe in weird fairy tales like electrons are tiny magnets. But the difference is not that big, physics professors have more cognitive capabilities as those SVB bankers but they are still fucking stupid. 

Just like at SVB it was not considered to pay for hedging the risk to just one 100 billion or more in deposits... 

 

Yes there are a lot of similarities here: Just not responsive over a few years of time is the most important similarity and of course: Being stupid in the first place... 

 Item 2) A small example of the new Midjourney5 that will come out this week.

The next picture is made by Midjourney and it is astonishing. Can you tell the difference with a real photo? It becomes harder and harder. 

 

It's only the behavior of the barbed wire in this picture that is a bit strange. But it also has many features that make you think you are looking at a real photo. 

Ok that's it for this update. Thanks for your attention. 

 

(10 March 2023) There was a fresh round of Russian rocket attacks on Ukrainian infrastructure. This time they used more rocket types that are hard to shoot down like those hypersonic rockets. So the series of open war crimes continues and sometimes I wonder why countries like China still support Russia.
Ok ok after four years of donald trump it is understandable that China needs a few years to recover but siding with a bunch of weird war criminals is likely not a strategy born from wisdom.  

Just one item for today: 

Item 1) More Nord Stream news and an update on the econ sanctions against Russia.

 Item 1) More Nord Stream news and an update on the econ sanctions against Russia.

Two video's in this item, the Nord Stream video is about 45 minutes and the vid on economical sanctions is only 8 minutes or so. 

In Germany the investigation is still ongoing and they warn against jumping to conclusions too fast. Well on the day the attacks took place, at the end of that day after 2 or 3 minutes thinking about all that information for myself I took the conclusion that it was likely the USA. 

Of course I too don't have a snippet of proof for that so it is better to name it a hypothesis that might need a bit more investigation.

The last days there are rumors that the sabotage attacks were done by some pro Ukrainian group. Well that is very interesting but an attack like this needs a high degree of professionalism and for me it is hard to phantom that some amateurs were driving about with hundreds of pounds of high explosives in their cars. 

Anyway this pro Ukrainian group has allegedly rented a yacht that belongs to two Ukrainians and on that yacht traces of explosives were found. If I remember it correct these traces were found in January so it is hard to say how substantial this is. After all if it was done by professionals, these pro's could also have created many false leads like brushing a bit of high explosives here and there.  

Welcome to conspiracy land by the way. 

Then there is that talk of some covert operation done by Ukraine herself. I don't think that bears any logic. In the first place they have Russian gas pipes right in their own territory so why not blow that up? Or more locally attack gas pipes going to Turkey.  

So the last days I have seen nothing that changes my mind on my original conclusion or hypothesis from Sept last year. As always click on the picture to land on the video: 

 

Video title: Nord stream Sabotage revelations : 
Who’s really behind Russian gas pipeline explosions? • FRANCE 24. 
Link used: https://www.youtube.com/watch?v=i7QMPSM6u-s 

__________

Ok economical sanctions. The video is very funny, the Yale professor looks like some angry professor from the muppets. He sounds like a true anti USSR iron eater trahing all things related to Russia.

Of course that is the right attitude but at the same time we must always stay realistic. The strategic goal of the economical sanctions is to weaken the Russian economy to the extend they can not repeat a military adventure as they do today in Ukraine. 

That strategy is in the interest of all European nations regardless of NATO membership. We don't want that kind of shit Russia, so we will keep on applying more and more economical sanctions until this  long term strategic goal is there. 

One thing I would like to remark is that I did see a few times the VAT taxes a collected by the Russian state. At first sight these are so dramatic in decline that it validates a lot of what the Yale professor says on this detail.
But we must not jump to significant conclusion on just a VAT collecting detail. May be Russia has a very different VAT collecting system at hand. If for example all basic goods have 0% VAT and only the very luxury things have a significant level of VAT, the decline in Russian collected VAT taxes only means a shift away from luxury items. 

So we must be sure the economical damage is there and not be lazy engulfing ourselves in shallow thinking. We must never become as what the math professors are: lazy, shallow thinkers and overpaid overpromoted individuals. No, a fresh brain willing to learn is a far better thing to have behind your eyes and between your ears.

As always click on the picture for the perfect muppet economics professor from Yale: 

 

Video title: Russia Economy Collapsing, Says Top Yale University Professor
Li9nk used: https://www.youtube.com/watch?v=B643JWVOO2g 

I have to say the screen shot is a bit confusing: At the left you see the DW logo and that stands for Deutsche Welle while TYT as far as I know stands for The Young Turks.

May be it is better to close this update, bring you a salut from a beautiful country named Conspiracy Land. Thanks for your attention & please never become as stupid as a math professor...

 

(08 March 2023) Well Bakhmut is still standing and it seems both parties are willing to throw in more of their best fighters. US SecDef Lloyd Austin came out stating that the loss of Bakhmut is not a strategic victory for Russia.
That is correct of course but another analyst pointed out that the Ukrainians have to fight Russia somewhere so why not Bakhmut? But a lot of people constantly seeing the Ukrainians surrounded from three sides and as such we worry too much Ukrainians can get killed. We don't want that of course.  

But it is their fight and it is always better if the Ukrainians decide upon themselves what is best or what they want. And it is clearly not crazy to keep on fighting in Bakhmut, after all a lot of Russians died in that place.   

__________

I cleaned this homepage, the old stuff is in the archives and if stuff is ok this homepage will load again much quicker. That took a lot of time so I only have one item for you today. Let's go: 

Item 1) BBC on the Wuhan lab leak hypothesis concerning COVID-19.

 Item 1) BBC on the Wuhan lab leak hypothesis concerning COVID-19.

Most of the time since we have the new virus around I always considered an accidental lab leak the most likely candidate for the entry of the new virus into the population. And I always put much much less weight on the possibility it has come from that food market.  

We are now a few years further down the timeline and for the food market hypothesis to be true there must be some intermediary animal species that caused the first human infections. This intermediary animal species has never been found so as the years go by that weakens and weakens the food market hypothesis. 

In my view this lab leak was an accident, only a person that is mentally ill would do such a leak on purpose. Please remark this all is not a proof that it was indeed a leak from the Wuhan lab but it keeps on weaving a pattern that makes it the most likely candidate. 

In the USA the CIA came also out a few days back they are still looking into the lab leak hypothesis. And that is a reasonable thing to do. 

The video is just a few minutes long, click on the picture to land on the video: 

 

Video title: What do we know about the Covid-19 lab leak theory? - BBC Newsnight
Link used: https://www.youtube.com/watch?v=DV_Cxunq7m4 

In the beginning for a short time I believed what the scientists initially said: It is from nature, do not doubt that. Such stuff is known as arguments from authority, the experts try to convince you they are right for some reason. I remember arguments like 'There are no lab made changes to the virus it is all 100% natural'. 

I don't know enough about viruses to judge for myself if the original COVID-19 was 'natural' or 'likely lab modified'. I also do not say the scientists claiming it had to be of a natural origin were lying. Likely they had no clue what they were talking about, just like math professors when they talk about complex numbers.   

__________ 

And what about that other thing that sucks in conspiracy theories? The bombing of the Nord Stream pipelines? Today the Americans came out with the view that it is possible it was not done by Russia but by a 'pro Ukraine group'.  

Oh oh my poor brains are working overtime: It could be true, it could be done by a pro Ukraine group. Yes, after all the USA is pro Ukraine so it is possible. It is possible. 

May be it is better to end my typing and salut you from conspiracy land: SALUT! 

Thanks for your attention and see you in another update. 

 

(03 March 2023)  Two items for this update:

Item 1) Do the economical sanctions against Russia work?
Item 2) AI generated pics & advertisement for a new 4D complex number post.

 Item 1) Do the economical sanctions against Russia work?

All kinds of people react a bit frustrated against the IMF who's forecast for the Russian economical growth is above that of say Brittany. But economies are also living things and even if you tell them to fall dead on the spot, they often refuse to do just that.  

I have no opinion on the IMF coming out with a positive growth number for Russia. All in all the IMF should stay away from political stuff with of course an exception for her mission: Educate political leaders how to collect taxes and pay off the debt.

It is very well possible that Russia has a positive growth number, but that does not say those are healthy numbers. They had a lot of reserves and without doubt a part of those reserves are now tapped in order to fund the economy that more and more is becoming a war economy. 

If oil and gas revenues keep being low all in all this should work as we want it to work. Of course new rounds of fresh sanctions are always welcome...;) 

 

Further reading on this detail of the war: 
How Russia's economy unexpectedly survived a year of war and sanctions
https://qz.com/how-russian-economy-survived-a-year-of-sanctions-1850144335 

Of course we must also take into account that the Russian GDP per capita is not that high. So if their (war) economy grows by 0.3%, per person that is not much. 

 Item 2) AI generated pics & advertisement for a new 4D complex number post.

After a very small internet search within five minutes I already had two AI generated pictures. It is amazing for sure what you can do with that kind of stuff. And the first AI generated porn is there in the form of a website name pornpen.

I made my two pictures on https://www.aiimagegenerator.org/ and yes it is free but my browser acted a bit strange because you also get free pop ups with advertisements. For the rest it works as it is supposed to. 

The big problem with all this AI generated art is that the database used with all those pictures in it, nobody gave permission for his or her work to be in that database. And how come that often these AI images are that good? That is because they are trained on millions of art works from the best artists. If you would feed those AI's only crap, they will produce only crap. 

Suppose there would be a math AI and you simply give it a prompt like the next: 

Generate five pages of math on 3D complex numbers where the importance of matrix representations is highlighted. Do this in the style of Reinko Venema.

And if such a hypothetical AI would produce five pages that look almost identical to my own work, I would be a bit pissed for sure. So I feel definitely some sympathy for all those artists who's work is now plagiarized on a big scale.

Anyway I used two simple prompts like "Blue sky over a forest" and "Blue sky over a mountain" and that gave me the two next pics:

 

It could have been a photo, you can't tell the difference here. Anyway I can't.
The math in the next picture was of course not generated by that AI but by me.  

 

Above you see an example of what you can do with the 4 dimensional complex numbers. And the 4D complex numbers are NOT those fucking QUATERNIONS from Hamilton, no it is the 4D complex number space ruled by it's imaginary component l. And the fourth power of this imaginary thing gives minus one: l^4 = -1

It is a beautiful four dimensional space, but the math professors as far as I know it, they just don't want it. They only want 2D complex numbers and of course a bit of the quaternions and after that all cognitive attention fades away fast. 

Being a math professor is a weird job: You get paid a lot for being non productive at all. 

__________

In the math above you see the definition of a 4D complex number and it's square. Also I gave some time dependent functions a(t) and so. If you differentiate those four so called coordinate functions, that mimics the square of the 4D complex numbers.

Ok, let me end this anti math professor rant by remarking that if you are stupid you can also put a positive tone to it: Wow there is room for improvement!

End of this update. 

 

 (01 March 2023) Two small items for this update, here we go:

Item 1) Is that Russian AWACS out or not?
Item 2) Quaternions and the vector wars. 

 Item 1) Is that Russian AWACS out or not?

Yesterday it was reported that inside Belarus near to Minsk one of those Russian AWACS came under drone attack. There is of course some form resistance inside Belarus against that piece of shit that rules that country. 

So it is hard to say if it happened, likely it did but that is far from sure. Those Russian AWACS go for something like 330 to 500 million € a pop but that is not important. If severely damaged to the point of no repair, if the economical sanctions work as supposed they can't replace them.  

 

This baby seems to be capable of tracking 60 targets simultaneously. Sometimes I wonder why Russians are so strange: They can design and build their own form of an AWACS but failed at say night vision goggles. 

At last a photo of what I usually avoid: Wounded people. It is not that I neglect that, but I am not a big fan of disaster porn. Just like I post some destroyed buildings but don't do that all the time. But if there is war, people get wounded and killed. That is a small detail you must never forget my dear reader. 

 

Let me show you the two conflicting reports of the Russian AWACS stuff:

Belarus partisans say they blew up Russian plane near Minsk (The Guardian.)
Belarus official says claim activists blew up Russian spy plane near Minsk is fake
(From Reuters.) 

It's late so lets go to the next item. 

 Item 2) Quaternions and the vector wars. 

On 03 Feb I showed you one of those "Quaternions are fantastic" video's as they are out there. And don't get me wrong; quaternions have a significant importance because you can use them to describe rotations in 3D space. 

Now rotations in space have the property that the order of the rotations matters a lot, math people say that they don't commute. The relation between these 4D numbers and rotations is not very trivial but once you have it correctly in your computer code you can do all rotations you need in say a video game. 

It is not much of a secret that I found the 3D and even the 4D complex number systems, but I never got any significant response from the math community. So I got a little bit pissed at those overpaid people, or should I not have reacted emotionally? 

Well even the discovery of the 4D numbers known as the quaternions gave rise to  tremendous amounts of emotion. Back in the time when you were talking about 4D space you were precisely the lunatic as I am today talking about 3D complex numbers. It makes you wonder why were they so emotional? Here is a cute quote: 

Hamilton’s disciples labeled the new system a “monster,” while vector fans disparaged the quaternions as “vexatious” and an “unmixed evil.” The debate raged for years in the pages of journals and pamphlets, but ease of use eventually carried vectors to victory.
Comment: As you see when it comes to higher dimensional numbers, most math professors are dumb as hell. 

The quote is from a very readable article, with readable I mean also a non mathy person understands more or less what it is about. Here it is: 

Title article: Meet The Four-Dimensional Numbers That Led to Modern Algebra
Link used: https://www.wired.com/story/meet-the-four-dimensional-numbers-
that-led-to-modern-algebra/ 

End of this update, see you around. 

 

(24 Feb 2023) Today a bit of strange news came floating around: It seems that about 90% of the Russian conscripts are deployed at the front line. You might think so what but take for example the Vietnam war; for every combat soldier there were about 10 others working in the background just to support the front line soldiers. 

Today I would like to skip items about the war and turn to artificial intelligence again because the developments still go fast and furious over there.

Item 1) ChatGPT bad at math & Leonardo AI has some tricks in it's sleeve.

 Item 1) ChatGPT bad at math & Leonardo AI has some tricks in it's sleeve.

It must be frustrating to works in a creative job these day. Jobs like drawing or animation can much cheaper be done by some AI like that Midjourney or Leonardo stuff. It is indeed amazing to see a prompt you type in being turned into images. 

But can the same happen to say mathematics? I don't think those present language models will be good at math. Often a piece of math is just plain wrong if there is only a tiny fault in it. And those present language models are not married to the truth but married to what is likely the next word. 

And by definition that is a bad way to do math. But who knows may be there are learning algorithms that start proving simple math statements and after that get trained on more and more complicated math propositions until it is above human intelligence. That would be a very strange experience... 

__________ 

I chatted two times with that ChatGPT version that is not online, it's the one trained on a big heap of internet text until the year 2021. So I asked: 

Reinko: Have you ever heard of three dimensional complex numbers?

ChatGPT: Yes, I have heard of 3-dimensional complex numbers. They are also known as quaternions, a non-commutative extension of complex numbers to four dimensions. Quaternions were first introduced by Irish mathematician William Rowan Hamilton in 1843 and have found applications in various fields, including computer graphics, robotics, and navigation.

The answer shows this chatbot is clearly not trained on the text of any of my websites. May be the answer from ChatGPT looks plain wrong because quaternions are four dimensional numbers made from three complex planes that share their real axis. So the answer is not as close to the truth as possible but more a summary of what is historically written about the quaternions. Next question:

Reinko: Have you ever heard of four dimensional complex numbers?

ChatGPT: No, I haven't heard of four-dimensional complex numbers. Complex numbers are a two-dimensional extension of real numbers, so there is no such thing as four-dimensional complex numbers in the traditional sense.

The answer shows that when it comes to complex numbers this system ChatGPT is dumb as hell. Even dumber than the average math professor. It is just a language thing but it sure is impressive. There is no denying that.

__________

Microsoft invested about 10 billion US$ into OpenAI and now has access to these versions of the language models and at present day tries to incorporate them with their search engine Bing.

So may be in the future if you search for 3D complex numbers on Bing it will be different. But I would like to thank Microsoft for their many years of help in promoting my 3D complex numbers. Here is a screenshot of what I mean, if you search for 3D complex numbers right in the left upper top it shows:

 

I think I wrote the above text in 2012, may be I should repeat it more because that is the most simple way to explain the 3D complex numbers. But the math professors keep on being not very cooperative, why this is is unknown to me. One thing is clear: Microsoft has helped me much much more as that miserable form of life known as the math professors... THEREFORE: MICROSOFT THANKS!   

If you really need a laugh, try searching for 3D complex numbers on the images at the Bing search engine. That is so much of my work completely dominating all things else that even I am opposed to it. Other voices should be heard too say the democratic parts of my brain. But if you think about that, what fucking contribution will there be from the universities? If you lack brains you can't talk back in a meaningful way I just guess...

__________

One of the new things into that graphics generating stuff is Leonardo AI. You can feed it a relatively small picture and gradually expand it into other directions. It is beautiful, in the screenshots below you see the expansion at work. Click on the picture for the Youtube video: 

 

Video title: Leonardo AI Changes Everything – So much more than MidJourney.
Link used: https://www.youtube.com/watch?v=AZyTk7BNDpI 

That was it for this update.  

 

(22 Feb 2023) Precisely 52 weeks I made an extra update on this website. That was very out of the ordinary because for years I only posted some stuff on Thursdays and left the week for other hobby's. It was a few hours before the invasion of Ukraine by Russia, the title of that 52 week old item was "Has the Vlad gone crazy?"

And yes, now their daily death toll is almost one thousand a day we can safely conclude that the Vlad was rather mental when he ordered the Russian military to attack Ukraine. 

May be in this second year I will more and more skip the Tuesday updates, I don't know because after all there is always plenty of news.  

__________ 

Today was the speech from Vladimir Putin, after about 20 minutes I had enough of it. But it was very refreshing to hear from the Vlad himself that before the special military action there were biolabs from the USA in Ukraine. So after a year we can indeed safely conclude that the Vlad has mental problems and as such a limited grasp on reality.
Of course there is the possibility that this biolab stuff is only for internal use where everybody knows it's not true, but I am not convinced this is the case.
And when after about 20 minutes he began lamentating about pedophiles and homophiles that rule Europe it was time for me to move on...   

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Two items for today: 

Item 1) Joe Biden visits Kyiv and Poland.
Item 2) Economist Jeffrey Sachs on the Nord Stream sabotage.

 Item 1) Joe Biden visits Kyiv and Poland.

The Kyiv visit was indeed a surprise visit showing once more that the protections against Russian air power is indeed rather good. The problem is of course you can't protect the entire Ukraine with this, Ukraine is just too large for that.

 

The lower photo is relatively good, you can see the reflection of Zerlensky in the sunglasses of Joe Biden. As usual when you visit you bring a few gifts, this time it was something like half a billion in military aid. 

Lets go to the next item. 

 Item 2) Economist Jeffrey Sachs on the Nord Stream sabotage.

For me this video gave me a strange feeling; I am not used at the fact that people can agree with me...;) For example why are there no physics professors saying that indeed the idea that electrons are tiny magnets is indeed 100% bullshit. There are so many reasons for this, if in chemical bonds the electrons in every electron pair must be anti-aligned, that means they have to bond via north pole to north pole binding or south pole to south pole. But year in year out they keep on talking like electron spin is a tiny magnet. Physics is a science beyond repair, if they hear something might be wrong just nothing happens.
And I am used to that, it is the same as the math professors who are at best a collection of fossils, if they are living fossils is unknown to me.

Now Jeffrey is of the opinion that likely it was the USA that did the bombing of the Nord Stream pipelines back in Sept last year. But he is also making a big fuss about the CIA doing all kinds of covert operations and always killing people and blowing stuff to smithereens on foreign soil. 

And yes over the last five decades they have done some amazingly weird stuff, I will not deny that. But, as far as I know, they never tried to kill me. So in the last decade my old anti-Americanism has come down significantly. And all in all during the first decade of the war on terror I was able to bring some significant damage to the USA, yet all those years there was never a CIA operation to kill me.

I still appreciate that a lot my dear USA readers, it brings a lot of piece to your mind if you don't have to constantly worry any longer about attacks against myself.  

Another point I disagree with Jeffrey Sachs is the way he talks about expansion of NATO. In my view this is not a very aggressive policy or so, it is just some countries like those in east Europe they want to join because it brings safety. 

Ok ok back in the nineties NATO countries promised not to expand eastwards towards Russia, that promise is clearly not hold by those countries. On the other hand Russia does the same because when Ukraine gave up her nukes it was also Russia that guaranteed the safety of Ukraine.

It all hasn't worked out the way it was supposed to be and now we have the Vlad talking about biolabs in Ukraine and pedophiles running NATO or the EU as some vague way to justify his military adventures. 

In this world there is never a shortage of idiots.

Anyway if you want to see the Jeffrey Sachs interview on the Nord Stream stuff, as usual click on the picture below:

 

Video title: Jeffrey Sachs: Who really blew up the Nord Stream 2 pipeline? 
Link used: https://www.youtube.com/watch?v=_Fv_nKyF_5g

Let me end this Tuesday update, see you on Thursday and if you see some biolabs popping up in France or Poland, please inform the Russian government... 

 

(17 Feb 2023) Tanks! Germany is rightfully complaining that only 50 tanks have been promised by other European countries. Of course they are a little bit pissed because just a few weeks ago there was all that pressure on Germany to do 'something' on the tank front and now this. 

So why are countries not forthcoming? Well it could be that a lot of political folks took a deep look at what they had and all of a sudden realized they don't have that much military gear at all. Don't forget a lot of armies are underfunded for a lot of years, that was the so called peace dividend.  

If it wasn't that serious it would be very funny. After all politicians complaining about other politicians is more or less their job description... I guess all I can do is wait and hope for a few more admissions. In my country it is also a pile of garbage: We only lease 18 Leopards so we don't even own them. So likely it is tough for other nations too. 

 

The two items for today are: 

Item 1) Seymour Hersh interviewed on Democracy Now.
Item 2) Advertisement for the latest math post.

 Item 1) Seymour Hersh interviewed on Democracy Now.

The whodunnit on the sabotage against the Nord Stream pipelines will likely continue a bit longer. Seymour was interviewed on Democracy Now, for the USA this is a very left leaning media outlet. You know lefties telling you that war is bad for the economy and lots of people die for no reason at all. 

Try explain that to the Russians, they are even deaf for the language of the coffins. Last week they had daily death toll averages of something like 850 so I am softly humming with satisfaction. 

But back to the Nord Stream stuff: The day it happened I sucked in all the information available at that moment and later in the day I tried to guesstimate whodunnit. After 2 or 3  minutes of time I arrived at the conclusion it was likely the USA. 

So why not Russia? Well Putin is a control freak and if somehow there was still gas streaming he is the one that can control the amount of gas through it. If Russia would blow up their own pipeline this kind of control would be lost. So for a control freak like Putin this all is not a logical thing to do. 

Another detail of interest is that I believe it was Denmark who after a few weeks said they would not share their findings because of 'national security concerns'. That was also strange. 

And now we have Seymour telling us it was done with cooperation of Norway I remembered that Norway all of a sudden very frantic started to guard their own oil and gas infrastructure. At the time I did not understand why they were so frantic, now we can say that if the Seymour version of reality bears some truth may be the higher echelons in Norway were afraid of a counter attack. They had a 'bad conscience' so to say.

Click on the picture for the Seymour Hersh interview:

 

Video title: Reporter Seymour Hersh on "How America Took Out the Nord Stream Pipeline": Exclusive TV Interview
Link used: https://www.youtube.com/watch?v=d4BuMaGlKp0 

In my view there are also reasons as not to suspect a main European culprit; we have learned the hard was it is better to not attack each other. In this regard if it all is true the behavior of Norway is a statistical outlier. 

 

Joe Biden wasn't the only USA official bragging they would take it out before the war started almost one year ago. On themselves details like this do not prove the whodunnit but it all weaves a pattern that points to the USA as the main culprit.  

So that's what I think on this detail. 

 Item 2) Advertisement for the latest math post.

My latest post on the other website is about the 'Speed = The Square' type of equations. What does that mean? Well it is not physics but more or less pure math where you study how a space evolves if at every point in that space the speed of that point is the square of the position. 

So the place of the origin is very important for the behavior of a point, that is not a very physical thing. In physics the choice of a coordinate system should not influence the time evolution.

Below you see the three coordinate functions of a curve in the three dimensional complex number space. And if you want to find the speed of such a point you must find the derivative with respect to time.

If you do that you will find that at any point on this curve the speed is the square of the position in the 3D complex number space. The x, y and z with a dot above them is just a way of writing down the derivative with respect to time in a compact manner. If you have never seen it, it is called the Newton dot notation. It is just a notation, but it is from Newton and that was not a lunatic as far as I know...  

 

Title of the new post: Solving the ‘Speed = The Square’ equation on four different spaces. Link used: http://3dcomplexnumbers.net/2023/02/16/solving-
the-speed-the-square-equation-on-four-different-spaces/

On the internet I could not find anything about equations like this. Have the math professors once more succeeded into slamming this world into stupidity? It very much looks like it...

Lets leave it with that and try to upload this stuff to the website.
See you around & thanks for your attention. 

 

(15 Feb 2023) Somewhere in Turkey right through some olive orchard a giant crater emerged. It is completely unbelievable what happened over there. A geologist explained that the maximum horizontal acceleration of the earth was a staggering 8 m/s^2 or 0.8 of the gravitational acceleration constant g... Those were gigantic forces!

 

Click on the picture for a larger and wider version. Source is a drone video:
Investigan una enorme grieta en Turquía surgida tras el terremoto.
Link used: https://www.youtube.com/watch?v=AtyBfXzUMTI 

Two items for today: 

 Item 1) Ukraine wants F16's from my country.
 Item 2) Seymour Hersh on the Nord Stream 1 & 2 sabotage.

 Item 1) Ukraine wants F16's from my country.

Last week the news emerged that Ukraine wants F16's from my home country. Of course that is not up to me to decide but for our government to decide yes or no. But if I could vote on the matter I think I would vote yes. 

I have no idea how to solve all these logistic problems related to repair and maintenance, just like with those tanks you need a good working maintenance team. And the Ukrainians must do that themselves, it can't be there are all kinds of Dutch military maintenance workers doing all the work. 

But if it all succeeds and even if say the F16's are only operational 50% of the time, I still estimate it is worth it. 

 

Of course there are the standard boundary conditions like you can only use them inside Ukraine in the course of this war. In case my government decides to not only lend them out but to give them away, in case of a future war there must be again permission to use them inside Russia. 

That is not to hinder any possible application of F16 air power, it is more that we can shout in some future year stuff like: 

YES BOMB THE HELL OUT OF THAT RUSSIAN SHIT!

All jokes aside, lets give it a try. Anyway that is what I would vote for... 

 Item 2) Seymour Hersh on the Nord Stream 1 & 2 sabotage.

Last September when the Nord Stream pipelines were bombed into insignificance of course at some point in time on that day I started trying to guess who had done this. After about 2 or 3 minutes I arrived at the conclusion that the most likely candidate was the USA. 

Last week the US journalist Seymour Hersh came out with an article stating it was indeed the USA but that also there is some involvement of Norway when it came to the precise target selection.

In general the US media completely ignores the writing of Seymour, at best they remark it is only based on one anonymous (human) source. I agree with such an approach; after it was only one silly clerk named Einstein who said something on gravity. It is only one guy that says something, you can neglect that...

In this item I want to show you two video's with opposite reactions to the Seymour Hersh article. Here we go:

Video 1: Combat Veteran Reacts explains the broad credibility Seymour has with stuff like reporting the Mai Lay massacre from the Vietnam era. It all speaks for itself:

Video title: Nord Stream 2 Destruction a Covert US Intel Op? Ukraine Withdraws from Krasna Hora? 12FEB Daily.
Link used: https://www.youtube.com/watch?v=Foequ3-4pVM 

Video 2: If I remember his name correctly it is Puck Anders Nielsen and likely he is from Denmark. Now Puck is far more intellectually challenging because he always has some military theory of why stuff is such or so.  

From the beginning Puck thought it was Russia that did it. I disagree with this, not because I do not like Puck's theoretical contributions but because it neglects the fact that Putin is a control freak. Therefore I consider it unlikely that the Kremlin ordered for the take down of the Nord Stream pipelines, he would loose control over the gas supply to Europe in particular Germany. 

Video title: Why is the West not reacting to Russian attacks?
Link used: https://www.youtube.com/watch?v=EeP_ZZbBIl4 

By the way, if the USA did indeed do this there are no hard feelings on my personal behalf. We had to cut Russian gas anyway but the act of sabotaging the Nord Steam pipelines is not the kind of help we are waiting for.

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At last a link to Seymour his writing, I still did not have the time to read it all because it is so long. May be that is another reason US media are not reacting to it: They like to be on Tik Tok or so.

How America Took Out The Nord Stream Pipeline
Link used: https://seymourhersh.substack.com/p/how-america-took-out-the-nord-stream?r=5mz1 

End of this update. Think well and learn well my dear reader. 

 

(10 Feb 2023) Oh oh those poor Turks, death count keeps on climbing and I had not even the time to look into the geological details of why this is such a big disaster.  

On so many scales this is a giant set back for Turkey, look for example at this old castle from the second century: 

 

It is late already so lets go fast to the two items for today:  

Item 1) Finally the first day with over one thousand Russian deaths; praise the Lord!
Item 2) Yes yes ChatGPT is impressive, but can it master math? Likely nope.

 Item 1) Finally the first day with over one thousand Russian deaths; praise the Lord!

Some time ago when the Kremlin plans became clear I wrote stuff like "LET THE SLAUGHTER BEGIN!" Of course it was only waiting until the first day with over one thousand Russian soldiers would be there.

Of course new years eve with about 610 dead Russians in one strike was very beautiful but it was not over one thousand. Since over there at the Kremlin they are persistently stupid they think they can win it with more and more untrained conscripts and convicts.

Of course because the Kremlin is so stupid, shall I ask for so called area bombs for the Ukrainians? I have been thinking about that on and off for about three months. And I am still so unsure if that is a wise thing to ask for.
On the other hand Ukrainians always do their stinking best to not kill their fellow country people and of course in the future we need days like 2000 or 2500+ killed per day.

If I were a commander of say the Dutch military forces and looking at stuff like a thousand deaths a day, I would consider surrendering. Yet at the Kremlin they are crazy to the bone, they don't give a shit about their own death toll so now I can say: 

 UPSCALE THE SLAUTHER!

 

The photo above is very interesting: Is this one of the assisted ammo rounds? The Russians don't have stuff like that because they are crazy. And if you are crazy anyway, why would you need ammo like that? Come on a fresh bottle of Vodka is all it keeps to make any Russian tranquil & obedient... 

Let's go to the next item. 

 Item 2) Yes yes ChatGPT is impressive, but can it master math? Likely nope.

There is all that buzz of this new language model named ChatGPT. And all those people talk about it has 175 billion parameters. And as such they compare it to models with only 15 or 20 billion parameters, conclude that it is bigger but never ever try to explain what a 'parameter' actually is.

Why are humans always so shallow?

It is just like physics students or professors when they talk about electron spin: It is a vector that can point into any direction but it is only spin up or spin down. If you complain this is all not very logical at any level because they will remark: "If you think you understand quantum mechanics, you don't understand quantum mechanics".

And ok, if your stupid spin theory forces you to say that in chemical bonds the electron pair must have opposite spin, so you are marketing the idea that molecules hang together via tiny magnets that bond north to north pole, it is obvious nobody can understand quantum mechanics.

If you view electrons as magnetic monopoles you don't have this kind of weird stuff, but at the universities they are stupid too. Why do university people never understand they talk nonsense?

Back to ChatGPT: Yes it is impressive but as I view it, it is just as impressive as my old Casio fx-82 calculator that can do many calculations for you in seconds where it would you take hours of work. It's more of the same we already had.

Let me close this update with a picture where you see the good old Mandelbrot set and in it are two coordinate functions that if you differentiate them, they will return the square in the complex plane. I don't see any GPT model coming up with stuff like that anytime soon...

 

End of this update, ChatGPT can you tell me how to keep the number of killed Russians above one thousand a day for the foreseeable future? 

Till updates. 

  

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Everything on the 3D complex numbers from 2012 and 2013 is bundled together in one html file.  

A primer on the three dimensional complex numbers.

For 2014 there is page number two: Page 2   

In 2015 we proceed with page number three: Page 3 

In 2016 still zero point zero reaction from the official math professors. Ok, let's proceed with page number four: Page 4 

In Nov 2015 I opened a separate website for the three dimensional complex numbers:

http://3dcomplexnumbers.net/  

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23 Dec 2014: Back in the year 1748 or so, Leonhard Euler found the very first exponential circle.  

It is also known as the Euler identity, Euler's formulae etc etc. 

 

In the last 2.65 years I found 10 more of these circles & periodic curves in higher dimensional complex number systems. 
I made a 25 page pdf from it. 

An overview of 10 exponential circles & periodic curves.  

Please take your time and try to understand it page by page. If you do all 25 pages in one day, very likely you will go bonkers...  

____________________

28 Oct 2015: Finally I started a new html page about electrons (and other spin half particles) that, after my humble opinion, are the long sought magnetic monopoles. 

It starts with the Ten reasons why electrons are magnetic monopoles

09 Jan 2017: The link above grew out to 41 reasons that electrons cannot be magnetic dipoles. We proceed with reason number 42 on

Page 2 as why electrons cannot be magnetic dipoles. 

Page 3 covers the stuff as found in the year 2018.

Page 4 covers the stuff for the year 2019.

Page 5 covers results found in the year 2020. 

 ____________________

29 Jan 2015: I made a new kind of so called Clifford algebras. As far as I can see it will have no practical value whatsoever. 
It is only six pages long, it contains no definition but only examples.
Clifford algebras cubic style

 _____________________

14 July 2014: Since a lot of young folks are also hanging around here I wrote a simple piece named the Water Planet.
We calculate as a start the number of water molecules in a liter of water; Here is the rest. 

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19 June 2014; The noble are of product integration is a very seldom observed thing.
That is caused by the fact that in general math professors are relatively dumb people. Ok they are good in reproducing things from the past but a relative more advanced concept like a continuous product is met with a giant vacuum inside their brains.
So if those folks were talented they would use it and given the fact almost nobody uses it, the dire straits of average math departments is clear... 

Ten styles for product integration and product differentiation.  

09 Jan 2015: Later I rewrote the piece a little bit using the curly font from Richard Gill for writing the product integral. 

The content has not changed, the difference is only the curly symbol used... 

Ten styles for product integration and product differentiation with the curly notation

____________________ 

Some old math I wrote about 13 years ago, it is very simple to understand: you can differentiate and integrate all geometrical objects. And when you triangulate a landscape or a movie scene properly you can later in a computer change the position of the camera. Of course you need a new file format because the goody good mpg format won't work.
This might be of future interest for police or stuff like that (you can change the camera viewpoint to that of the victims or that of the criminals. Of course this is not a miracle; missing information can only be repaired at a certain level but anyway... The math is there and it is waiting to be used!
(Ok you also need geometrical integration but that's a cakewalk, some geometric projection theory, lots of self repairing codes and very very difficult: a good camera device. But if these conditions are met you can later change the camera viewpoint...)

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(17 Oct 2008) This morning I finished a very simple and non technical article about statistical testing of poisons in food. It is so horrible non technical that even political leaders can understand it's content; only seldom I have sunken so low...

Here is the pdf file.

____________________ 

A pdf file explaining why we likely never ever will have nuclear fusion as a reliable source of unlimited energy...  

Nuclear_fusion.pdf 

 ____________________ 

Sayings from famous and unknown people that shed light on their insights and their emotional daily running system:

Phrase nr one (from Dubya or the present lame duck president of the USA):

"The reason we start a war is to fight a war, win a war, thereby causing no more war!"
--The first Presidential debate

Phrase nr two, also from Dubya but I have to pump it up from my memory so there might be some little faults in it (it was some weeks after the 911 attacks on the USA):

The enemy is so evil that most people in the USA do not know what they do why they do!

Phrase nr three from the former USA secretary of defense Donald Rumsfeld (if my memory is correct he spoke these words in the week from 16 to 21 October 2001, at that point in time we were on the height of the anthrax scares): 

And it makes you wonder; How does he do it? And we would like to ask this person to come on over to our side and together fight the war on terror.

Phrase nr four is from me myself & I:

To understand your own 'logical thinking' you must know that logical thinking is only the first derivate of emotion. That is why all attempts towards artificial intelligence have failed: computers do not have emotion build in but we humans, like all other animals,  do.
The above mentioned three phrases of my enemies only expose their emotional system, lets destroy that system...

Phrase nr five is from US celebrity Donald Trump. A few weeks before this the famous Lancet report was published calculating Iraqi civil death toll at 650 thousand (this with a relatively large but acceptable standard deviation):

For myself I use 400 thousand killed.

Phrase nr six is from CNN's Larry King (CNN is received in 200 countries so therefore the CNN management thinks it's wise that Larry King can parade every day one or more American celebrities). When King was asked why he did not use the internet he responded:

There are a billion things on the internet.

Phrase nr seven is one more from the former US secretary of defense. After a few years in the war on terror he was asked what it all boiled down to. He said:

Can we kill the terrorists in a faster rate than the massandra's spit them out?

Phrase nr eight is from Osama bin Laden. The phrase is very worthwhile mentioning because the US CIA folks were in the past very satisfied with 'Just a few weapon deliveries and we lured the Russians into Afghanistan'.

When America needed us to fight their proxy war against Russia they supported us. The moment the Russians left Afghanistan we were irrelevant. 

Phrase nr nine is from US four star general Peter Pace, he made it during a memorial speech on 11 Sept 2006 (exactly five years after the 9/11 attacks from 2001).
At that point in time total US military death toll already stood above the number of civilians killed on 9/11/2001.

Right now the total amount of killed US military members is approaching the civil death toll from nine September 2001.

Phrase nr 10 is again from me myself & I. It is around the rebuilding of the organization after the military campaign in Afghanistan.

Make sure to imitate the way the German army was organized after world war one; That is make sure that every member can function properly until up three hierarchical layers higher. If you do that you can grow with an enormous speed in the future when this is needed.

Phrase nr eleven is also from me myself & I. It is to proof that I can be stupid too. I do not know when I wrote it but it was a long time ago.
I asked the Iraqis the next:

Can you hold on one more year? After that things will get better, I promise.

You just don't imagine how much I have regretted those words, after that the US military came with bonuses of up to 70 thousand dollars for enlisting / reenlisting and how could I have been so stupid as to not have foreseen this?
I mean the Americans run their country on the greenback & why was I outside reality? Why?

Phrase number twelve is from a peace loving female neighbor of mine, her name is Geertruida.

We people we can speak, so we should not fight war but speak with each other until our differences are solved.

Of course I had to remark: Because we have speech we are much better in making war compared to other animal species. 

Phrase nr thirteen is from the present al Qaida leader in Iraq. I mention it because I think it was a very important detail, it was made in his first statement after he took over from Zarqawi.

We need help from scientists, let it be in the field of communications, chemistry, medics, biologicals or whatever what. You can live your dream and kill the Americans on a large scale inside their bases. You can fulfill your scientific dreams.

Phrase nr fourteen is from CNN's war whore Christiana Armanpour. Why do I call a whore where in fact she is a respected senior correspondent?
That is because she understands the difference between a 'commodity driven war' and one that is not driven by that.
In the entire Iraqi war no CNN reporter has emphasized that Iraq is very much 'commodity driven' (read stealing the oil) but when Tony Blair resigns she says:

He wanted military assistance in Bosnia although there are no commodities over there.

(Or words of similar phrasing, I do not recall her exact words but they boiled down to the above.)   

____________________ 

Not all my hobbies evolve around war, death and destruction, or financial markets. No, I also like to cook food and stuff. There will not be many recipes but here is the index to some food I made, it is just a small fraction of what I cook. A very small fraction but the goal is to come to a feast meal for the Iraqis and Afghanis. So it likely will take a few more years...

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Title: A 2022 condolences card to the US dollar.