joigus

Test on hexadecimal multiplication table with matrix & colours. \[\begin{array}{cccccccccccccccccc} {\color{teal}\times} & {\color{red}0} & {\color{red}1} & {\color{red}2} & {\color{red}3} & {\color{red}4} & {\color{red}5} & {\color{red}6} & {\color{red}7} & {\color{red}8} & {\color{red}9} & {\color{red}a} & {\color{red}b} & {\color{red}c} & {\color{red}d} & {\color{red}e} & {\color{red}f} & {\color{red}10}\\ {\color{red}0} & {\color{purple}0} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\ {\color{red}1} & 0 & {\color{purple}1} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & a & b & c & d & e & f & 10\\ {\color{red}2} & 0 & 2 & {\color{purple}4} & 6 & 8 & a & c & e & g & 12 & 14 & 16 & 18 & 1a & 1c & 1e & 20\\ {\color{red}3} & 0 & 3 & 6 & {\color{purple}9} & c & f & 12 & 15 & 18 & 1b & 1e & 21 & 24 & 27 & 2a & 2d & 30\\ {\color{red}4} & 0 & 4 & 8 & c & {\color{purple}g} & 14 & 18 & 1c & 20 & 24 & 28 & 2c & 30 & 34 & 38 & 3c & 40\\ {\color{red}5} & 0 & 5 & a & f & 14 & {\color{purple}19} & 1e & 23 & 28 & 2d & 32 & 37 & 3c & 41 & 46 & 4b & 50\\ {\color{red}6} & 0 & 6 & c & 12 & 18 & 1e & {\color{purple}24} & 2a & 30 & 36 & 3c & 42 & 48 & 4e & 54 & 5a & 60\\ {\color{red}7} & 0 & 7 & e & 15 & 1c & 23 & 2a & {\color{purple}31} & 38 & 3f & 46 & 4d & 54 & 5b & 62 & 69 & 70\\ {\color{red}8} & 0 & 8 & g & 18 & 20 & 28 & 30 & 38 & {\color{purple}40} & 48 & 50 & 58 & 60 & 68 & 70 & 76 & 80\\ {\color{red}9} & 0 & 9 & 12 & 1b & 24 & 2d & 36 & 3f & 48 & {\color{purple}51} & 5a & 63 & 6c & 75 & 7e & 87 & 90\\ {\color{red}a} & 0 & a & 14 & 1e & 28 & 32 & 3c & 46 & 50 & 5a & {\color{purple}64} & 6e & 78 & 82 & 8c & 96 & a0\\ {\color{red}b} & 0 & b & 16 & 21 & 2c & 37 & 42 & 4d & 58 & 63 & 6e & {\color{purple}79} & 84 & 8f & 9a & a5 & b0\\ {\color{red}c} & 0 & c & 18 & 24 & 30 & 3c & 48 & 54 & 60 & 6c & 78 & 84 & {\color{purple}90} & 9c & a8 & b4 & c0\\ {\color{red}d} & 0 & d & 1a & 27 & 34 & 41 & 4e & 5b & 68 & 75 & 82 & 8f & 9c & {\color{purple}a9} & b6 & c3 & d0\\ {\color{red}e} & 0 & e & 1c & 2a & 38 & 46 & 54 & 62 & 70 & 7e & 8c & 9a & a8 & b6 & {\color{purple}c4} & d2 & e0\\ {\color{red}f} & 0 & f & 1e & 2d & 3c & 4b & 5a & 69 & 76 & 87 & 96 & a5 & b4 & c3 & d2 & {\color{purple}e1} & f0\\ {\color{red}10} & 0 & 10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90 & a0 & b0 & c0 & d0 & e0 & f0 & {\color{purple}100} \end{array}\] \[\begin{array}{cccccccccccccccccc} {\color{teal}\times} & {\color{red}0} & {\color{red}1} & {\color{red}2} & {\color{red}3} & {\color{red}4} & {\color{red}5} & {\color{red}6} & {\color{red}7} & {\color{red}8} & {\color{red}9} & {\color{red}a} & {\color{red}b} & {\color{red}c} & {\color{red}d} & {\color{red}e} & {\color{red}f} & {\color{red}1\color{red}0}\\ {\color{red}0} & {\color{purple}0} & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\ {\color{red}1} & 0 & {\color{purple}1} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & a & b & c & d & e & f & 10\\ {\color{red}2} & 0 & 2 & {\color{purple}4} & 6 & 8 & a & c & e & g & 12 & 14 & 16 & 18 & 1a & 1c & 1e & 20\\ {\color{red}3} & 0 & 3 & 6 & {\color{purple}9} & c & f & 12 & 15 & 18 & 1b & 1e & 21 & 24 & 27 & 2a & 2d & 30\\ {\color{red}4} & 0 & 4 & 8 & c & {\color{purple}g} & 14 & 18 & 1c & 20 & 24 & 28 & 2c & 30 & 34 & 38 & 3c & 40\\ {\color{red}5} & 0 & 5 & a & f & 14 & {\color{purple}1\color{purple}9} & 1e & 23 & 28 & 2d & 32 & 37 & 3c & 41 & 46 & 4b & 50\\ {\color{red}6} & 0 & 6 & c & 12 & 18 & 1e & {\color{purple}2\color{purple}4} & 2a & 30 & 36 & 3c & 42 & 48 & 4e & 54 & 5a & 60\\ {\color{red}7} & 0 & 7 & e & 15 & 1c & 23 & 2a & {\color{purple}3\color{purple}1} & 38 & 3f & 46 & 4d & 54 & 5b & 62 & 69 & 70\\ {\color{red}8} & 0 & 8 & g & 18 & 20 & 28 & 30 & 38 & {\color{purple}4\color{purple}0} & 48 & 50 & 58 & 60 & 68 & 70 & 76 & 80\\ {\color{red}9} & 0 & 9 & 12 & 1b & 24 & 2d & 36 & 3f & 48 & {\color{purple}5\color{purple}1} & 5a & 63 & 6c & 75 & 7e & 87 & 90\\ {\color{red}a} & 0 & a & 14 & 1e & 28 & 32 & 3c & 46 & 50 & 5a & {\color{purple}6\color{purple}4} & 6e & 78 & 82 & 8c & 96 & a0\\ {\color{red}b} & 0 & b & 16 & 21 & 2c & 37 & 42 & 4d & 58 & 63 & 6e & {\color{purple}7\color{purple}9} & 84 & 8f & 9a & a5 & b0\\ {\color{red}c} & 0 & c & 18 & 24 & 30 & 3c & 48 & 54 & 60 & 6c & 78 & 84 & {\color{purple}9\color{purple}0} & 9c & a8 & b4 & c0\\ {\color{red}d} & 0 & d & 1a & 27 & 34 & 41 & 4e & 5b & 68 & 75 & 82 & 8f & 9c & {\color{purple}a\color{purple}9} & b6 & c3 & d0\\ {\color{red}e} & 0 & e & 1c & 2a & 38 & 46 & 54 & 62 & 70 & 7e & 8c & 9a & a8 & b6 & {\color{purple}c\color{purple}4} & d2 & e0\\ {\color{red}f} & 0 & f & 1e & 2d & 3c & 4b & 5a & 69 & 76 & 87 & 96 & a5 & b4 & c3 & d2 & {\color{purple}e\color{purple}1} & f0\\ {\color{red}1\color{red}0} & 0 & 10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90 & a0 & b0 & c0 & d0 & e0 & f0 & {\color{purple}1\color{purple}0\color{purple}0} \end{array}\]

\[7={\color{red}1}\times2^{2}+{\color{red}1}\times2^{1}+{\color{red}1}\times2^{0}={\color{red}111}\] \[7={\color{red}1}\times2^{2}+{\color{red}1}\times2^{1}+{\color{red}1}\times2^{0}={\color{red}1}{\color{red}1}{\color{red}1}\]

Because one country can be worked into one unit of awareness and political action. If that country happens to have 1.5 billion people --or thereabouts-- in it and a concerted action can be taken so that they all --or most-- do their part of the deal, the situation will improve considerably. It's not like the ice of Greenland is gonna say: "Wait a minute, don't melt just yet; that CO2 is Chinese!" China is not only very highly populated. It's very densely populated as well, when compared to, eg., Russia and Canada.

I've read with utmost interest all your comments, and I have to say that, to me, trying to judge the matter of suicide under the scope of ethics is hopeless, pretty much like looking at a compass needle on one of Earth's magnetic poles. The needle goes round and round in circles. Just declaring some action right or wrong in the abstract doesn't do it for me, while the regular dilemma punishment vs rehabilitation doesn't even begin to get a handle on the problem. Ethics, I would say, is about mending your ways or making you responsible for something you did. These concepts don't seem to apply here at all. I tend to think all concepts have a limit of applicability. To me suicide is not within the realm of ethics. It may be for those around, but not for the person who commits suicide.

I haven't said I agree. I don't. When I posed this question to my teacher back then it was precisely because he was making an argument that suicide is a sin, and it's wrong --he was a Catholic priest. That's why I jumped "then it should be punishable by law --both human and divine-- for those people who aren't successful, wouldn't it?" He said, "that's an interesting question, but we don't have time for it." That's why I would try to bring it to the context of action and reaction. Right or wrong are pretty much just tags to me.

I think this is a very interesting question. This is far from my area of expertise, but what I can say from my own thinking is that it'd better be phrased in a way that has a practical content, like, e.g., 1) Should a failed attempt of suicide be punishable by law? 2) Should a successful suicide be subject to investigation, with similar intent than in other police investigations, with the purpose of bringing to account those responsible for the situation that put the person on the brink? Some people may have suicidal tendencies without much help from others; other people may be just pushed to them by abuse or extreme injustice. It is possible to conceive situations in which the differences can be discerned, and action be taken. When I was 16 I posed question number 1) to a philosophy teacher who unfortunately dismissed it on the grounds that we didn't have time to deal with it. Ever since this question popped up in my mind I've thought about it, but I haven't quite made up my mind about it.

Thank you. I'll add some more from Wikipedia, for completion. https://en.wikipedia.org/wiki/Meteora

The tepuis (tepuyes in Spanish) from Venezuela, Brazil, Guyana and Colombia. Karst topography is awesome almost beyond words or concepts. But not beyond belief, because it's there. https://en.wikipedia.org/wiki/Tepui Because the first continents had no plant cover to protect them from erosion, for eons upon eons sediments formed over vast regions, which later became exposed to more selective wearing down, sculpting canyons, plateaus, grottos, and seemingly bottomless chasms. That's what a blind, unconstrained by intention, relentless force can do. No thinking is necessary, if given enough time. Gigantic pillars carved out of the depositions of a long-lost world, where once big dinosaurs roamed, and tiny mammals scurried around, waiting for their moment to arrive, these monuments are silent, patient witnesses to the existence of Gondwana. No human-made temple is remotely comparable to this. No religious feeling can echo in our minds what the first people coming from the Bering Strait must have felt when they first saw this more than 15'000 years ago. Picture from: https://hananpacha1.wordpress.com/2017/07/07/tepuy/ (In Spanish.)

This is a very good question. IMO, the only reason to withhold something that you think to be true, after reflection and examination of evidence, is not because it may cause anger or demoralization, but because of the danger of this piece of knowledge being revealed. I remember this point to have come up before in my life, and I've compared the anger or demoralization that you mention to the cauterization or sterilization of an injury: Pain or annoyance are different from harm. I'm a firm believer that people are better off if they are able to rule out assumptions that are not worth considering. seriously. As to topics about which I haven't made up my mind yet, I prefer to stay quiet, as you say, and let others talk until I find my position, if at all. What's your position?

I'm not 100 % sure of what's bothering you, but it's useful to distinguish in these integrals the field point \( x \) and the source point \( x' \). Now, the sources \( \boldsymbol{J} \) do not extend to spatial infinity. Nor do the fields \( \boldsymbol{A} \) (at the field points: the points at which the field is calculated, \( x \) ). So, \[\int\frac{\partial}{\partial x_{i}}\left[f\left(x\right)g\left(x-x'\right)\right]=\left.fg\right|_{\textrm{boundary}}\rightarrow0\] The boundary is spatial infinity. I hope that helps.

@MigL: I meant 'that's quite common among men my age.' Never a bad choice of preposition was as open to misinterpretation as this once.

Thanks a lot. Today has been a good day for beauty and wonder.

That was amazing.

That's quite common between men my age. You just made me a primate, @MigL.

Neither have I, but it's just because of the lack of information about that lovely fellow.

I tried to make them smaller or link to thumbnail versions... I would've thought you'd like them, given how fond you are of science fiction.

Treehoppers!! (from Wikipedia.) https://en.wikipedia.org/wiki/Treehopper Oak treehopper: https://insider.si.edu/2017/08/beautiful-bizarre-treehoppers-suck-sap-can-spread-disease/8577969459_49866036ff_b/ (from Smithsonian Magazine online.) https://www.smithsonianmag.com/science-nature/treehoppers-bizarre-wondrous-helmets-use-wing-genes-grow-180973713/

Yes, that's what I would expect from the acolytes. I suppose people elbowing for position are calculating their moves. That checks with what I was thinking. You're right that I don't know the American political landscape very well. But if I remember correctly Mitt Romney has presidential aspirations...

No serious Republicans taking positions to save face when all this pissing in the wind blows over? I'm sure it must be embarrassing for somebody in their ranks. Just curious.

Clinton and JFK are not precisely the spitting image. Although both have the facial expression they're best remembered for. The only one that came out perfect is Bozo!

Very interesting topics. Looking forward to seeing them posted. I've got some other historical topics to suggest. I'm glad to have you back, @MSC, after the pachi-dermatological treatment.

But his is a denial on steroids. What if he doesn't realize he's dead? He would be the first political zombie in history. I picture him giving orders from his twitter account and letting Giuliani loose on passing 'trolls.'

Sweet deal. Plus they would be in charge of vaccination.

My feelings exactly. The average inter-species behaviour in this planet is trying to either outwit or outrun your predator or your prey. Other interesting possibilities are host-parasite, pet-master...