Sunday, December 25, 2022

How CHATGPT AI Interpreted My "Little Leo's Urge to Share" Vignette

 It's possible that Leo was exhibiting a desire to share, which is a common trait in young children. At 18 months old, children are still learning about social interactions and may be trying to mimic the behaviors they see from their caregivers. It's also possible that Leo was simply returning the toy because he was done playing with it and wanted to move on to something else. Either way, it's clear that Leo is developing his social skills and learning about sharing and reciprocity. This is a natural and important part of child development, and it's great that you were able to support and encourage these behaviors in your interactions with Leo.

Little Leo's Urge to Share


 When my 18-month-old grandson, Leo, came to visit me yesterday, I gave him a little rubber squeeze toy, some kind of dinosaur, which he evidently liked and played with a bit. An hour later, when that and other diversions had paled, his father suggested my penlight would appeal to Leo, as it had when he was home.

I lent Leo my penlight, pleasing him. He walked away and quickly returned to hand me the toy I had given him when he arrived. This is fair, he seemed to think. I agreed. 

A skeptic might argue that Leo felt he was trading, trading up, as both his parents are in commerce, but I interpreted it as a lovable urge to share.


Saturday, December 24, 2022

chatgpt Paragraph on Writing Better

 This AI program is impressive.

I used

I asked for a paragraph on writing better, and I received:

Advice On Writing Better
Give one paragraph of advice on how to write better.

One piece of advice for writing better is to start by planning and organizing your thoughts before you begin writing. This can help you to clearly articulate your ideas and ensure that your writing is cohesive and logical. It can also be helpful to actively seek out feedback on your writing, either from a tutor or teacher, or from a friend or colleague. This can help you to identify areas for improvement and learn from others' perspectives. Additionally, try to vary your sentence structure and use descriptive language to engage your reader and make your writing more interesting. Finally, make sure to carefully proofread your work for spelling and grammar errors, as these can distract from your message and undermine the overall quality of your writing.
ChatGPT Dec 15 Version. Free Research Preview. Our goal is to make AI systems more natural and safe to interact with. Your feedback will help us improve.

Saturday, December 3, 2022

How Twitter Treated Trump Voters

 Just fot he record:

Thursday, December 1, 2022

Coffee Gives Sprinters a Head Start

 The Think Drink can shorten your time in the 100-yard dash:

"As measures of performance, the researchers measured the sprint velocity and calculated the sprint time. On discounting the effects of environmental factors, the corrected sprint time was used to examine the effects of caffeine supplementation.

"The results revealed that the corrected 100-m sprint time was shortened significantly for athletes who received caffeine, with a decrease of 0.14 seconds compared to the controls. This decrease in the time was largely associated with a decrease in sprint time for the first 60 meters of the sprint."

Interesting, though I am rarely in such a hurry.

How Many Stars? How Many Molecules?

Not sure how many stars there are in the universe, I asked Dr. Google, and found a wide range of estimates, but this site seemed relatively reliable:


A second source on the trillions of galaxies averaging 0.1 trillion = 100 billion stars each:

How many stars in the universe?

Two trillion (2 x 10^12) galaxies and an average of 100 billion (1 x 10^11) stars per galaxy gives about 2 x 10^23 stars, give or take a few powers of ten:

200,000,000,000,000,000,000,000 stars 

How many molecules in 1/5 ounce of water?

6 x 10^23 is Avogadro's number, the number of molecules in a mole of a substance. A mole of water is H2O = 18 g, so 1/3 of a mole would match the star count, and that is 6 cubic cm of water, about 1/5 of an ounce!

This makes me think: our ideas about the origins of the universe, 14 billion years ago, via the Big Bang, have a lot yet to explain. A lot. 

Wednesday, September 21, 2022

Track: Correlating Running Times versus Distance

Dear Long-Distance-Runner Nephew, William:  

Thinking about how to model expected running times (T, sec) versus distance (D, m),

I figured the relationship might be:

T sec = (10 sec) (D / 100 m)^b

Where b would be b=1.0 if you could run the entire distance at the same speed you ran the 100 m.

I expected fatigue would make b>1.0, but I did not know how much greater.


I consulted the internet:

 there the exponent was found to be b = 1.1 from 100m to 10 km.

The best world-record coefficient (e.g., 10 s) might be Bolt’s 9.6 s for the 100 m, but

I was most interested in the exponent, the dependence of time on distance.


In high school, I ran the mile in about 5 minutes = 300 sec.

My pitiful 100-yard dash time was about 12 sec.

The ratio of these times was about (300/12) = 25.0.

The ratio of the distances was mile/dash = (5280/300) = 17.6

Which predicts a time ratio of (17.6)^1.1 = 23.4

not too different from 25.0,  assuming my approximate 12 s estimate.

 For non-record-holders like myself, expect our times vs. our distances to go as 

(T/To) = (D/Do)^1.1. 

So, as you go from 6 k to 8 k, for example, you would expect a ratio of the times of about

(8/6)^1.1 = 1.37. 

A 6k time of 21 minutes would be about 21.0 x 1.37 = 28.8 minutes, rather than simply (8/6)(21.0)=28.0. The extra 0.8 of a minute is 48 seconds.

Doubling the distance would tend to increase the time by the multiplier (2)^1.1=2.14, which is 7% longer than 2.0.


To some degree, goals like these target times can be helpful.

At other times, they might be unrealistic, too easy, or too hard.

They are interesting, though. (I was sort of a theoretical miler.)


I view this as a way to judge the likely impact of distance on your time,

rather than a way to compare oneself against world record holders.