Random Thoughts 7

[WWGD]

Another win in my quartel against ETS: the ratio of the area of a circle inscribed in an equilateral triangle is fixed. Thus knowing the radius of the circle is enough to know that of the inscribing triangle.

After teaching/tutoring GMAT and similar tests, I decided to tell my students that the ratio of area of an equilateral triangle to a circle it's inscribed in is $\frac{\sqrt 3 \pi}{9}$, and the converse , of an equilateral triangle inscribed in a circle is $\frac{3\sqrt{3}}{4\pi}$. Just got tired of solving the problem so many times.

 

[Jonathan Scott]

After teaching/tutoring GMAT and similar tests, I decided to tell my students that the ratio of area of an equilateral triangle to a circle it's inscribed in is $\frac{\sqrt 3 \pi}{9}$, and the converse , of an equilateral triangle inscribed in a circle is $\frac{3\sqrt{3}}{4\pi}$. Just got tired of solving the problem so many times.

I'm just wondering why you don't show it in a form that makes it directly clear that the ratio of the larger triangle to the smaller one is 4, for example by making the first one $\frac{\pi}{3\sqrt{3}}$.

 

[WWGD]

I'm just wondering why you don't show it in a form that makes it directly clear that the ratio of the larger triangle to the smaller one is 4, for example by making the first one $\frac{\pi}{3\sqrt{3}}$.

The ratio between the two is
$\frac{4\pi^2}{27}$~$1.46$.

 

[Jonathan Scott]

The ratio between the two is
$\frac{4\pi^2}{27}$~$1.46$.

I mean that if you have an equilateral triangle inside a circle inside a triangle, the larger triangle is four times the area of the smaller one, and that is clear from the ratios if you rewrite $\frac{\sqrt{3}\pi}{9}$ as $\frac{\pi}{3\sqrt{3}}$ for consistency with the other ratio. The smaller triangle in terms of the larger one is then simply as follows: $$\frac{\pi}{3\sqrt{3}} \cdot \frac{3\sqrt{3}}{4\pi} = \frac{1}{4}$$

 

[fresh_42]

 

[WWGD]

Troubling : What ChatGpt does with your data:

 

[fresh_42]

I watched a documentary yesterday about our development as a species throughout the various ages of Earth, with an emphasis on the changing climates. Someone said in an interview that, after all, we stem from a tropical area and are not specifically prepared to cope with ice ages. I hate hot weather. And I am a European, hence I carry Neandertal genes. I assume that mine are significant. I should let them be tested.

 

[WWGD]

One day late:

 

[Ibix]

Ah, British trains. In the last fifteen minutes we have advanced less than one mile. And the air conditioning is broken.

Edit: oh, and although we're at a station they can't open the doors so we can get some fresh air because the (alleged) express is longer than the platform at this tiny stop and they can't only open some doors and if they open all of them some idiot will step out without looking to see if there's a platform and then sue.

 

[WWGD]

Ah, British trains. In the last fifteen minutes we have advanced less than one mile. And the air conditioning is broken.

Edit: oh, and although we're at a station they can't open the doors so we can get some fresh air because the (alleged) express is longer than the platform at this tiny stop and they can't only open some doors and if they open all of them some idiot will step out without looking to see if there's a platform and then sue.

Literally a not very cool part of Summer.

 

[fresh_42]

I hate English. Autocorrect wants me to write webserver as web server, but if I apply it to web sites, it insists on one word, <grrrr>. Why is vector space two words and eigenspace only one?

And what is it with the hyphenation? Are there rules, or is it an on-the-spot decision?

I decided to make a post about annoying autocorrections rather than a separate thread. Here comes my list so far:

coset -> closet
homological -> phonological
surjective -> subjective
integrand -> integrated

(to be continued)

 

[WWGD]

I decided to make a post about annoying autocorrections rather than a separate thread. Here comes my list so far:

coset -> closet
homological -> phonological
surjective -> subjective

(to be continued)

Saying those are incorrect is very surjective.

 

[Astronuc]

AI Slop is news to me. I've started to see some images that are clearly AI generated.




AI slop generators produce spam and apparently plagiarize the content of others.

 

[WWGD]

I wonder what it would be like to be a prophet in the Pastry Bible or Topology Bible.

 

[WWGD]

AI Slop is news to me. I've started to see some images that are clearly AI generated.




AI slop generators produce spam and apparently plagiarize the conent of others.

And your content, i.e., that obtained through your use of AI models, may likely be used to improve/upgrade existing models , with or without your consent.

 

[fresh_42]

I wonder what it would be like to be a prophet in the Pastry Bible or Topology Bible.

And they that dwell upon the earth shall rejoice over them, and make and merry, and shall send gifts to one another; because these two prophets tormented them that dwelt on earth.

(Revelation 11:10)

 

[WWGD]

And they that dwell upon the earth shall rejoice over them, and make and merry, and shall send gifts to one another; because these two prophets tormented them that dwelt on earth.

(Revelation 11:10)

A rare correct mention in the singular, as most refer to it as "Revelations".

 

[WWGD]

Surprised that the same seed song takes different paths through YouTube songs when played at different times.

 

[fresh_42]

Surprised that the same seed song takes different paths through YouTube songs when played at different times.

I think that the starting paths may vary, but they finally converge somehow. A bit like the Collatz conjecture.

 

[WWGD]

I think that the starting paths may vary, but they finally converge somehow. A bit like the Collatz conjecture.

Yes, maybe the choices are made dynamically. That happens with their ads. They change , both the timing and the choice of ads when you watch the same video.

 

[WWGD]

Be careful when you abbreviate the second word in "Real Analysis". Or if you're typing the name "CUNY", with the latters close to the "Y".

 

[Mayhem]

One of the biggest faults in the English language is that "complex" is a homonym for "multiple combined components" and "difficult to comprehend".

 

[WWGD]

Ok, it's " Warby Parker", not " War by Parker". Obvious. I just hadn't noticed.

 

[WWGD]

One of the biggest faults in the English language is that "complex" is a homonym for "multiple combined components" and "difficult to comprehend".

And a single-purpose building or structure, like a " Sports/Cultural complex", though maybe you can fit that in one of your other categories".

 

[WWGD]

When I'm tired and hungry, Wilshire sounds like 'Hillshire( farm)' and Workshop sounds like ' Pork Chop'.

 

[Borg]

I just saw the first episode of Hazardous History with Henry Winkler. So many memories of my childhood like lawn darts and things that I had never heard of before like the radiation lab for kids with real uranium and roller coasters that subjected people to 12Gs. Wow.

 

[WWGD]

Out of boredom, added an item to my CV : " Switched company coffee for Folgers without being detected. No complaints about (new) coffee for months now". See if the filtering system notices.

 

[WWGD]

Norton files keep trying to access and modify my memory even after I uninstalled and ran Powershell scripts to permanently remove them. I've only been able to cut down on number of Windows Security reports warning me of access attempts. I also wrote a script to stop access to scheduled tasks. I'm taking my cursory Powershell knowledge to its limit.
Seems I'm not alone :

https://answers.microsoft.com/en-us/windows/forum/all/need-help-uninstalling-norton-caused-a-bunch-of/5088b7bb-41fd-4b57-86b8-a3f7667d049a#:~:text=Replied on January 14, 2023 Report abuse.,Windows files, apps, services, and registry keys.

"Norton: The mother-in-law of security software". Or " Hotel California of Security software".

 

[Mayhem]

So much trouble could be prevented in relationships if more people were strong enough to sit with the "Okay, I was wrong" feeling for more than five seconds.

 

[fresh_42]

So much trouble could be prevented in relationships if more people were strong enough to sit with the "Okay, I was wrong" feeling for more than five seconds.

Especially as the question of guilt is decided from the beginning.

 

[BillTre]

 

[WWGD]

Feel bad for this kid that was name Paul Ian whose name keeps getting confused for Pauline.

 

[fresh_42]

I am meanwhile happy that I don't know any of these people the TV calls celebrities.

 

[WWGD]

I am meanwhile happy that I don't know any of these people the TV calls celebrities.

No, it was a regular kid, not a celebrity.

 

[Borg]

My delivery got run over because the driver left it in front of the garage and my wife didn't see it when she backed out Sunday. Guess where he put the replacement package today even though there were specific instructions to not leave it there?

 

[Ibix]

My delivery got run over because the driver left it in front of the garage and my wife didn't see it when she backed out Sunday. Guess where he put the replacement package today even though there were specific instructions to not leave it there?

I don't think they pay enough for them to read instructions.

My copy of Wald's GR text still smells slightly because the delivery guy put it in the compostable waste bin on top of the remains of a Halloween pumpkin.

 

[WWGD]

Singer Flo' Rida dedicates song to German Modernists: "Welcome to Bauhaus".

 

[WWGD]

If your last name is Banks, don't call your son "Rob". If it's Caine, don't call him "Marco".

 

[Ibix]

If your last name is Banks, don't call your son "Rob". If it's Caine, don't call him "Marco".

A friend who is a midwife says that thinking this sort of thing through is an unofficial part of the job. She said her greatest failures were a Mr & Mrs Lamb who called their son Sean, and Mr & Mrs Trickey who called their son Richard.

 

[TensorCalculus]

I somehow only just realised that programming languages are all "in English" - like they use English words for syntax (e.g. if)

 

[Borg]

I'm giving two demos of my architecture design today. After the last fiasco where I was barraged with idiotic and off-topic questions from the audience, this time I will be refusing to allow any questions until the demo is complete.

 

[fresh_42]

I somehow only just realised that programming languages are all "in English" - like they use English words for syntax (e.g. if)

I once coded in an IDE that used French, English, or both. You could type, for example, "IF ... ALORS ..." or "SI ... THEN ..." without any problems.

 

[TensorCalculus]

I once coded in an IDE that used French, English, or both. You could type, for example, "IF ... ALORS ..." or "SI ... THEN ..." without any problems.

What did you use? I am curious now

 

[fresh_42]

What did you use? I am curious now

https://windev.com/

I sometimes decided according to which one is shorter to type. E.g., "sablier" is shorter than "hourglass".

 

[TensorCalculus]

Whoa - so cool! I never knew that existed. Might give it a try at some point just for fun

 

[fresh_42]

Whoa - so cool! I never knew that existed. Might give it a try at some point just for fun

It is very focused on the UI part of programming, and code is usually behind "buttons", "tables", or similar UI features. But, yes, it is really faster and more intuitive to produce applications. I think it produces C++ code internally, but you don't see it. The IDE is basically UI stuff with code lines that look like Visual Basic.

 

[TensorCalculus]

It is very focused on the UI part of programming, and code is usually behind "buttons", "tables", or similar UI features. But, yes, it is really faster and more intuitive to produce applications. I think it produces C++ code internally, but you don't see it. The IDE is basically UI stuff with code lines that look like Visual Basic.

That's very interesting (and quite unique)! Is it widely used?

(I'm not going to try it because it costs money )

 

[fresh_42]

That's very interesting (and quite unique)! Is it widely used?

According to their list of customers, yes, but I'm not so sure.

(I'm not going to try it because it costs money )

Doesn't it have a test version anymore?

Here is what it typically looks like:

For example:

with the button code line

Static1=Edit1^2

took literally seconds. The watermark is due to the test version I used. It has also its own database, but is also compatible to most existing ones. What I really like about it is, that you can setup language versions: the UI, i.e., button titles, help texts, etc. can be arranged to use dozens of languages between you can switch.

 

[TensorCalculus]

According to their list of customers, yes, but I'm not so sure.

Doesn't it have a test version anymore?

Here is what it typically looks like:

View attachment 363062

For example:

View attachment 363063

with the button code line

Static1=Edit1^2

took literally seconds. The watermark is due to the test version I used. It has also its own database, but is also compatible to most existing ones. What I really like about it is, that you can setup language versions: the UI, i.e., button titles, help texts, etc. can be arranged to use dozens of languages between you can switch.

Nope, no more test version I don't think. But this seems so easy to use! I never knew things like this existed, that's really interesting, thank you!
(BTW keep your eyes on the Fermat's last theorem page - a lot of rings and headaches later, I am close! I think.)

 

[fresh_42]

Nope, no more test version I don't think. But this seems so easy to use! I never knew things like this existed, that's really interesting, thank you!

https://windev.com/windev