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@irgarner this is what is so disheartening about **all** such videos. In none of them that I have seen do they complain about being sent to attack another country which has don't nothing to Russia.

@Billius27@mstdn.ca this is certainly serving up some surprises.

@Ainsley yes, many people made mastodon accounts just in case but are not using them. I used deberdify
debirdify.pruvisto.org/
to find many of the people I follow on twitter on mastodon. I rerun it every day as this number is slowly growing.

@Ainsley @digits @trinsec @adambunch
Thanks. I didn't know as he doesn't have it in his twitter bio and never mention in his tweets. He doesn't appear to be using the account. As suggested I did ask him on twitter to start posting on Mastodon.

@undefined @johncarlosbaez they generate the whole G_2. Lie subgroups of G_2 are well understood. as the set of inner automorphisms you describe is 6-dimensional the only possibilities we need to exclude is that it generates a copy of SU(3) which is 8 dimensional or a copy of SO(4) (all other proper subgroups of G_2 have dimensions <6). It should be easy to see that it's not SO(4) which is also 6-dimensional.

SU(3) can be excluded as follows.
All SU(3) in G_2 are known to come about as follows. G_2 acts on S^6=unit imaginary octonians and various SU(3) in G_2 are isotropy subgroups of different points in S^6. if all inner automorphisms were in an isotropy group of some point v in S^6 that v would be in the center of octonions. This is impossible and hence Inner automorphisms generate all of G_2.

@johncarlosbaez It is certainly can't be true that composition of inner automorphisms must be an inner automorphism for that would make it into a subgroup of \(G_2\), in fact, a closed subgroup and what you describe is certainly not that.

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What are the inner automorphisms of the octonions?

Of course this is an odd question. Since the octonions are nonassociative you might even guess the map

𝑓: 𝕆 → 𝕆

given by

𝑓(𝑥) = 𝑔𝑥𝑔⁻¹

for a nonzero octonion 𝑔 isn't well-defined! After all, maybe we have

(𝑔𝑥)𝑔⁻¹ ≠ 𝑔(𝑥𝑔⁻¹)

But in fact this is a red herring.

(1/n)

(Below we see my friend the physicist Nichol Furey, a big fan of the octonions, standing in front of the Fano plane, which can be used to multiply them.)

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herid boosted

Companies like HR Block and Intuit have spent millions lobbying against free tax prep. It's money well spent, because tax prep makes billions for these companies. The biggest tax prep companies formed something called "the #FreeFileAlliance" that purported to offer free tax-prep to low- and medium-income Americans.

8/

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@pluralistic yikes! do you know if the same is true for the Canadian H&R block?

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If you were unfortunate enough to e-file your US #tax using HR Block, Taxact or Taxslayer, your most sensitive financial information was nonconsenually shared with Facebook, where it was added to the involuntary dossier the company maintains billions of people, including people who don't have Facebook accounts.

1/

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You can define operations on [-∞,∞) depending on a positive real number called the 'temperature' 𝑇 in such a way that:

1) for any 𝑇 > 0, you get a rig isomorphic to [0,∞) with its usual + and × . (A 'rig' is a ring without negatives.)

2) in the limit 𝑇→ 0, you get a version of the 'tropical rig', where addition is min and multiplication is + on [-∞,∞).

Yeah, the terminology is bad: the 'tropical rig' is a low-temperature limit! They should have called it the 'arctic rig'.

(1/n)

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Our toddler has been testing positive on rapid antigen tests for more than 6 months. We’ve consulted many doctors and specialists and were told they are seeing a lot of “persistent viral shedding” in this age group. Guess what the advice was... STOP TESTING!

twitter.com/fitterhappierAJ/st

#covid19 #CovidIsNotOver #COVIDisAirborne

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Epidemiologist @deonandan, on the efficacy of masks in light of surging numbers of respiratory diseases.

The short version: "Masks work. Of course they do. They work as imperfect personal protection and as highly impactful community protection."

A great deal of data and nuance in his post.

blog.deonandan.com/wordpress/2

#masks #COVID #RSV #flu #influenza #Epidemiologist

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Musk’s reign at Twitter has increased risks to users—especially those in crisis zones around the world who flocked to Twitter for expression during unrest—by unraveling guardrails against misinformation, harassment, and censorship. eff.org/deeplinks/2022/11/twit

PSA from our PM on twitter

Canadians can now purchase Ukraine Sovereignty Bonds. These bonds allow Canadians to provide direct support to Ukraine, so the Ukrainian government can keep providing essential services. Find out more here: bit.ly/3TUGmV2

@Pwnallthethings high profile accounts seem most hesitant to leave. which is sort of understandable. although I noticed that because relatively few of them moved those that did got pretty large followings here quickly. still not nearly as large as they had on twitter.

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