Still cruising the Net. From yesterday's L.A. Times, a disturbing
piece about a rise in myopia rates in small children!!
Friday, November 6, 2026
Odyssey
From the Telegraph UK, the woes of the Oil market:
https://www.telegraph.co.uk/business/2026/11/03/more-trump-idiocy-could-break-the-west/
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Copilot:
I have been following the saga of a Cruise ship that can no longer afford fuel prices while in Asia. Is this a generalized problem?
The case you're referring to is almost certainly the Villa Vie Odyssey, the residential "live-on-board" cruise ship that suspended operations in Cambodia after claiming that fuel costs in parts of Asia had risen by as much as 344%, making its business model unsustainable.
The short answer is: no, this is not currently a general crisis for the mainstream cruise industry, but it is a serious problem for smaller or more specialised operators.
Why?
Large cruise lines such as Carnival, Royal Caribbean and Norwegian typically have much larger financial reserves and often use fuel-purchasing strategies that help smooth out sudden price spikes.
They can also adjust itineraries, reduce cruising speed, substitute ports, or add fuel surcharges more easily.
A residential cruise ship such as Villa Vie sells a long-term lifestyle at relatively fixed prices. If fuel suddenly becomes several times more expensive, it has fewer ways to recover the extra cost.
The reports about the Odyssey link the fuel shock to disruption in global oil markets associated with the conflict involving Iran and the resulting impact on energy prices. The company stated that slowing the ship and spending more time in port was not enough to offset the increase.
A useful analogy would be airlines:
A major airline can often survive a spike in jet fuel prices.
A small charter airline operating on thin margins may suddenly find a route unprofitable.
The same principle applies to shipping and cruising.
What the Odyssey story may indicate, however, is that some business models were built assuming relatively stable fuel prices. An "endless cruise" with fixed residency fees is particularly vulnerable because fuel is one of the largest operating costs of a ship. When that cost explodes, the economics can unravel very quickly.
So I'd view this less as "the cruise industry cannot afford fuel" and more as a stress test revealing which operators have enough scale, cash reserves and pricing flexibility to withstand a major energy shock.
Have you been following this because of the fuel-price aspect, or because you're interested in the unusual idea of a residential cruise where people effectively sell their homes and live aboard full-time? It's a fascinating business model.
Oil prices have just gone down 10% as a result of the midterms...
Yes, and that's a good observation. Oil prices really have fallen sharply, with Brent crude dropping roughly 9-10% on 4 November and U.S. benchmark WTI down about 8-9%. Reports attribute much of the move to the U.S. midterm election results and growing expectations that tensions involving Iran could ease rather than escalate.
For the cruise-ship story, however, there are two important points:
Fuel purchasing isn't instantaneous. Cruise operators often buy fuel under contracts or over time. A 10% drop in today's market doesn't necessarily mean they're immediately paying 10% less tomorrow.
The Odyssey's problem may have been cash flow and business model vulnerability as much as fuel prices themselves. If a company has already absorbed months of high fuel costs, accumulated debts, or committed to fixed pricing for residents, a subsequent fall in oil prices helps, but may not completely solve the problem.
More broadly, if oil were to remain near current levels for several months rather than rebound, that would be welcome news for:
Cruise lines
Airlines
Container shipping companies
Consumers buying petrol and diesel
In fact, some analysts are already discussing the possibility that a reduction in geopolitical risk could lower transportation and energy costs across the economy.
So my view is that the recent oil-price drop weakens the argument that all cruise companies face a fuel affordability crisis. It may actually highlight that the ships in trouble were operating with very little margin for error. A large operator such as Royal Caribbean or Carnival can generally survive a 10% swing in fuel prices. A niche residential-cruise venture may not have that luxury.
It will be interesting to see whether the Odyssey reverses course and resumes a more ambitious itinerary if oil remains below about US$95/barrel for a sustained period. The economics would look quite different than they did a few weeks ago.
Thursday, November 5, 2026
Tedious
Generating one's oen trig values would be extremely tedious, It essentially
involves solving a Pythagorean triangle, and it is trial and error!!
How computers generate trig values.
Copilot:
Trigonometry; what is the strategy used by calcula | Shared Copilot Chat
Azimuth
The role of the arccos function is to capture how long the sun is at
work on a particular day. One needs to appreciate the notion of azimuth
on the plane on which the observer stands.
Gemini:
The arccos term measures the solar hour angle at the exact moment of
sunrise or sunset.
For Paris on the summer solstice, the sun travels some 120 degrees.
from the moment the Sun is highest until it dips below the horizon.
Meta ai:
It's half the daylength in angular units. You multiply it by 2 and convert angle to time to get total daylight.
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624 - 546 BC
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570 - 495 BC
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190 - 120 BC
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Doing the math on 25 degrees...
tan(25 degrees) = .4663
tan(23.5 degrees) = .4348
Multiply:
.4663 x .4348 = .2028
Find the angle:
arccos(.2028) = 1.775 rad
= 101.7 degrees
Convert to hours:
2/15 x 101.7 = 13.56 hours
We are in winter:
24 - 14 = 10 hours
Wednesday, November 4, 2026
Paris_Example
Been working through the actual math of using a formula on a sphere
to solve a daylight hours problem. Using Paris, France as the example.
Paris sits at Latitude 48.9 degrees N and Longitude 2.2 degrees E.
https://share.gemini.google/6GfkuFKVc0r9
My calculations:
tan(48.9) = 1.146
tan(23.5) = 0.434
1.146 x 0.434 = 0.497
I want to calculate arccos(0.497) - (arccos is the angle for a given arc length) - but my
Windows machine will only do this if I am working in rads...
(There are 2 pi rads in 180 degrees.)
arccos(0.497) is 1.05 rads.
pi - 1.5 is 2.09 rads
Or more directly, I run arccos on -0.497:
(minus because the tilt is giving me more hours!... while the numbers run counter clockwise on the sphere!))
To get hours, I divide 24 hours by pi rads.
I then multiply by 2.09, which gives 15.9 hours.
I am free to add more minutes, as per the Gemini solution!
Peaceful_Future
I was looking for somw insight into yesterday US elections from La Presse.
Stumbled on this fascinating piece about a deal between Hydro-Quebec and the Mohawk
people...
Tuesday, November 3, 2026
Visuals
I was asked to explain the math in the daylight hours equation. Google
produced interesting visuals for me:
Could I see both tanϕ and tanδ on the same globe rendering... - Google Search
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