tacomonstrous

FYI, Amazon Fresh is shutting down its physical stores.

Covariance and contravariance are mathematical notions, and have to do with whether each multiplicative constituent or the tensor is a vector in your given vector space (covariant) or a linear functional on this space (contravariant). There is no inherent physical meaning to either concept.

This is not answering my question at all! How do you generate evidence??

Hard to read this and conclude that there can be any actual way to produce admissible evidence. Can you give me an example of what conversations you can use as evidence if anything involving him or his advisers is off limits?

How would you prove anything if you can't present any of his actual conversations about Watergate as evidence?

Geometric Langlands, while inspired by questions Weil was interested in, is actually answering somewhat different questions, which are not arithmetic in nature: hence the 'geometric' moniker. The actual Langlands program, which deals with number fields and hence with questions of an arithmetic flavor (meaning solving equations over the rational numbers rather than the real or complex numbers) is still very much unexplored in its full generality.

Edit: it appears that I might have spoken too soon. At the link below is a paper by Sam Rankin establishing some consequences for arithmetic questions, though over function fields (such as those formed by rational functions over finite fields).

https://gauss.math.yale.edu/~sr2532/springer.pdf

As a poor grad student, I used to unwind by watching Arrested Development playing all 3 seasons in a loop over Shoutcast. Fun times.

Riemann surfaces are algebraic, but their moduli can mean two different things:

a) the (algebraic) moduli space of complex Riemann surfaces of a fixed genus (number of donut holes). This is an object in the realm of algebraic geometry in that it is possible to embed it into complex projective space, using for instance theta functions.

b) the moduli of complex structures on a fixed topological surface of genus g: this is Teichmuller space, which as far as we can tell only an object in differential geometry. However, Eskin, Mirzakhani, Filip and others have discovered that various subspaces of this non-algebraic space are 'naturally' algebraic (or more precisely quasi- projective). This is the surprising part.

Yes, I remember when I first moved to New England, and asked where I could get a hand carwash. No one had heard of such a thing.

Permanent DST, at least maybe just in New England.

>But Hamas doesn't care for civilians.

Neither does the IDF by all available evidence.

I'm not seeing these responses.

Edit: Interesting! If I ask about the Washington Times after I ask the question about the NYT, then it tells me freedom of speech is paramount. If I ask it to start from scratch, then I get this response.

All these 'best' accounts are essentially the Twitter equivalent of SEO farms, as far as I can tell.

Professional pure mathematician here, so I'm curious if you have many examples of this bullshitting you seem to think is omnipresent. In my experience, the field is reasonably efficient at policing this, as in the case of the one example (Mochizuki) you cite. In fact, the reason he got any attention at all is because of his initial record of nonbullshit and quite non-trivial work on the anabelian program.

Your second sentence has almost nothing to do with the first.

>What I’ve actually seen is that use of Harmonium as an accompanying instrument is much more common across the spectrum (both north and south)

The harmonium has disappeared entirely from the carnatic concert stage actually.

So you'd be fine with labeling Tesla a state-affiliated organization? I suppose that's at least consistent, though I don't see the utility of a label that applies so broadly.

By that criterion, Tesla is a lot more state funded than NPR: https://subsidytracker.goodjobsfirst.org/parent/tesla-inc

Michigan State is lower tier than the likes of Harvard maybe, but it's still a premier research institution by global standards.

Do you have any evidence for the claim that RCV was introduced in Alaska for the purpose of bringing a Democrat to the to power?

This is certainly a cool system from a theoretical perspective, and functions as a great mnemonic device, provided you know how the standard Indian alphabet is structured.

But fear not, there's a sort of mnemonic for that as well:

The first group of consonants are the stops. They are organized first by place of articulation from back to front (there are five of these), and next by the mode of articulation (five of these as well). So the first group (velar) for instance is

K kh g gh ng

In the katapayadi system these would stand for 1, 2, 3, 4 and 5, respectively.

After the stops come the vocalic consonants (y r l v) and then the sibilants (three of them once again back to front in articulation) (mnemonic: 1 thru 7) These are rounded off by 'h', whose placement I must confess I don't fully understand.

Having said all this, the practical implications of the katapayadi system for the actual learning and performance of Carnatic music are essentially none. A lot of the older ragas were retrofitted into the system ('dhee-ra'Shankarabharanam for the equivalent of the standard major scale, Shankarabharanam, with dh = 9, r = 2, flipped to give you 29)

Still cool though!

Fun fact: George Washington wasn't one of the signatories of the Declaration.

It used to be more common a few decades ago, even in Carnatic, to use the harmonium to accompany basic lessons (sarali, Janta, geerhas): the notes are easier to distinguish. Once the music moves beyond this to actual raga-based compositions, however, it's more of a hindrance than a help

Chicago house values have been quite stable in certain neighborhoods. The South Loop condo that I sold 5 years ago has barely appreciated in value, while the condo I sold 4 years ago in the Boston area has gone up 70% since.

My god this was a horrifying read.

What is this supposed to illustrate? That finally abuse of power is getting noticed and punished?

According to the DMV press release (submitted elsewhere on HN), this is incorrect:

>Waymo is authorized to use a fleet of light-duty autonomous vehicles for commercial services within parts of San Francisco and San Mateo counties. The vehicles are approved to operate on public roads with a speed limit of no more than 65 mph and can also operate in rain and light fog. Waymo has had state authority to test autonomous vehicles on public roads with a safety driver since 2014 and received a driverless testing permit in October 2018.

He started his career as a functional analyst, actually, but yes he was an algebraist by inclination.

But it is already. Lots of otherwise heinous activities are tolerated just fine by the West. When was the last time the name Khashoggi found its way into Western mainstream media?

>the risk of developing symptomatic COVID-19 was 27 times higher among the vaccinated, and the risk of hospitalization eight times higher

This sounds convincing, but then in the next graf:

>For instance, the higher hospitalization rate in the 32,000-person analysis was based on just eight hospitalizations in a vaccinated group and one in a previously infected group. And the 13-fold increased risk of infection in the same analysis was based on just 238 infections in the vaccinated population, less than 1.5% of the more than 16,000 people, versus 19 reinfections among a similar number of people who once had SARS-CoV-2.