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In the case of a universe of finite size, this analogy explains how there can be such a thing as a finite space without there being boundaries provided the space is (slightly) curved.

So this has less to do with an infinitely sized universe and more with the question of “What exists beyond the edge of the universe if it would be finite in size?”


Our universe is probably a black hole in another, larger universe we cannot reach. And then turtles all the way down.


The GAIA telescope is at your service :)

“thanks to Gaia EDR3, the solar neighbourhood has been mapped with great precision out to 100 pc (326 light years).”

https://www.cosmos.esa.int/web/gaia/edr3-gcns

The page links to the paper, the catalogue, notable figures and a “fly-through”.


Solar PV takes up a lot of land. Rich, densely populated countries (like the Netherlands) find the areas outside of the cities to be more valuable as (recreational) nature, for upcoming housing projects, or for agricultural use.

Another (short term) practical reason is that remote areas where the land is cheap usually have a weaker connection to the electrical grid. As erecting vast solar parks takes months while fortifying the grid takes years (and is very expensive), this creates bottlenecks. Erecting new solar parks in such remote areas is therefore (temporarily) prohibited: https://www.sunforson.com/dutch-provinces-of-friesland-and-g...


Here you go: https://lofar-surveys.org/public_hips/LoTSS_DR2_high_hips/ Note that the map is in radio (150MHz) but you can toggle to other ‘maps’ with different wavelengths. At 150MHz, most emission is synchrotron emission originating either from supernovas and as such is a proxy for star(forming) regions of a galaxy, or originates from (plumes of accelerated particles from) the region around a galaxy’s super massive black hole.

This video slowly fades between visual and radio: https://youtu.be/SBHzK7-xWyI


Arecibo and FAST are giant immovables dishes (essentially a parabolic valley covered by some electrically conducting material). The receivers suspended above these dishes are somewhat moveable, but that is about it. That means they can only observe a small region of the sky exactly overhead (this region changes together with the rotation of the earth). VLBI requires multiple telescopes significantly separated from each other in physical space (think thousands of km) to track the same object on the sky during an observation. Thus VLBI is hard/impossible for giant immovable dishes like FAST :)


> VLBI requires multiple telescopes significantly separated from each other in physical space (think thousands of km) to track the same object on the sky during an observation. Thus VLBI is hard/impossible for giant immovable dishes like FAST. :)

Good point... But the VLBI people I know are "here, hold my beer..." engineers. And astronomers will use Vegemite for thermal paste, if it lowers their Tsys in a tight spot.

If FAST-class dishes are cheap enough, you could build an assortment of them, pointing in different (fixed) directions. The primary azimuth would still train close to zenith, but the hard part is that suspended receiver assembly, the moving bits, a relatively heavy platform (that eventually fell into Arecibo's dish, after decades of minimal budget and maintenance:-( ... Dang, the Canadians have proposed large dirigibles, tethered like weather balloons, for the primary focus assemblies.

I miss that crowd. My first drive was the NRAO VLBA correlator, 23 (!) years ago. I'm out of the loop now.


About the legal basis: "RDS’ [Royal Dutch Shell] reduction obligation ensues from the unwritten standard of care laid down in Book 6 Section 162 Dutch Civil Code, which means that acting in conflict with what is generally accepted according to unwritten law is unlawful. From this standard of care ensues that when determining the Shell group’s corporate policy, RDS must observe the due care exercised in society. The interpretation of the unwritten standard of care calls for an assessment of all circumstances of the case in question." Excerpt from the court sentence: https://uitspraken.rechtspraak.nl/inziendocument?id=ECLI:NL:...


Incorrect. It comes from an IPCC report: "In model pathways with no or limited overshoot of 1.5°C, global net anthropogenic CO2 emissions decline by about 45% from 2010 levels by 2030 (40–60% interquartile range), reaching net zero around 2050 (2045–2055 interquartile range)." Excerpt from paragraph 2.3.5.2 of the court sentence: https://uitspraken.rechtspraak.nl/inziendocument?id=ECLI:NL:...


"The assessment culminates in the conclusion that RDS is obliged to reduce the CO2 emissions of the Shell group’s activities by net 45% at end 2030 relative to 2019 through the Shell group’s corporate policy. This reduction obligation relates to the Shell group’s entire energy portfolio and to the aggregate volume of all emissions (Scope 1 through to 3). It is up to RDS to design the reduction obligation, taking account of its current obligations and other relevant circumstances. The reduction obligation is an obligation of result for the activities of the Shell group, with respect to which RDS may be expected to ensure that the CO2 emissions of the Shell group are reduced to this level. This is a significant best-efforts obligation with respect to the business relations of the Shell group, including the end-users, in which context RDS may be expected to take the necessary steps to remove or prevent the serious risks ensuing from the CO2 emissions generated by the business relations, and to use its influence to limit any lasting consequences as much as possible." Excerpt from the court sentence: https://uitspraken.rechtspraak.nl/inziendocument?id=ECLI:NL:...


That sounds like Shell can use more teslas.

while selling the same amount of fuel if not more.

Hey at least we are not releasing the CO2 emission.


Here is a link to the actual full court sentence (English version): https://uitspraken.rechtspraak.nl/inziendocument?id=ECLI:NL:...

(As the news article does not include it.)


Take a look at this in-betweening technique in a recent ‘two-minute paper’ video: https://youtu.be/mb6WJ34xQXg After some training, there is quite some realistic in-between generated for virtual humans.


My point is there in no "formula" you can use, since it's not (just) about "smooth" motion in 2D specifically.

In 2D animation, also always do "breakdowns" between key poses and those are absolutely artistic decisions that cannot be automated (at least without doing a selection step—you could probably automate, e.g. generating 32 different variations and then allow the user to select the breakdown they like best—same with inbetweens, you could allow the user to select the style—but at that point it's only barely ML).

See https://youtu.be/86tqKH3zxuM for all of the different kinds of inbetweens

and https://youtu.be/wdPbiy-8BRo?t=108 for a demonstration of how important breakdowns are between key poses.

Source: I do 2D animation with computer inbetweens, and we also use ML to automate other aspects of our work.

Thanks for the link.


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