The key to teaching division to young students who have only been introduced recently to more complicated mathematics forms is to make the student feel involved with the process, while finding it pleasant at the same time.
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Ok, it's time for a #FUNctionalAnalysis thread! Let's talk about Hilbert spaces. (I hope you like linear algebra, because that's what we're
If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.
When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.
You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)
As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n
— syzygay (@syzygay1) August 9, 2020
If you want to impress people, you can just say a Hilbert space is just a complete infinite dimensional inner product space and leave it at that, but let's talk about what that actually means.
When you first learn about vectors, you talk about them as arrows in space; things with a magnitude and a direction. These are elements of R^n where n is the number of dimensions of the space you care about.
You also talk about the dot product (or inner product) as a way to tell when vectors are orthogonal. (I'm purposely saying "orthogonal" instead of "perpendicular" here, but when you actually think about arrows, it's the same thing.)
As my linear algebra students are about to see, R^n is far from the only interesting vector space. A classic example is the space of polynomials of dimension less than or equal to n
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Fake chats claiming to be from the Irish African community are being disseminated by the far right in order to suggest that violence is imminent from #BLM supporters. This is straight out of the QAnon and Proud Boys playbook. Spread the word. Protest safely. #georgenkencho
There is co-ordination across the far right in Ireland now to stir both left and right in the hopes of creating a race war. Think critically! Fascists see the tragic killing of #georgenkencho, the grief of his community and pending investigation as a flashpoint for action.
Across Telegram, Twitter and Facebook disinformation is being peddled on the back of these tragic events. From false photographs to the tactics ofwhite supremacy, the far right is clumsily trying to drive hate against minority groups and figureheads.
Declan Ganley’s Burkean group and the incel wing of National Party (Gearóid Murphy, Mick O’Keeffe & Co.) as well as all the usuals are concerted in their efforts to demonstrate their white supremacist cred. The quiet parts are today being said out loud.
The best thing you can do is challenge disinformation and report posts where engagement isn’t appropriate. Many of these are blatantly racist posts designed to drive recruitment to NP and other Nationalist groups. By all means protest but stay safe.
There is co-ordination across the far right in Ireland now to stir both left and right in the hopes of creating a race war. Think critically! Fascists see the tragic killing of #georgenkencho, the grief of his community and pending investigation as a flashpoint for action.
Across Telegram, Twitter and Facebook disinformation is being peddled on the back of these tragic events. From false photographs to the tactics ofwhite supremacy, the far right is clumsily trying to drive hate against minority groups and figureheads.
Be aware, the images the #farright are sharing in the hopes of starting a race war, are not of the SPAR employee that was punched. They\u2019re older photos of a Everton fan. Be aware of the information you\u2019re sharing and that it may be false. Always #factcheck #GeorgeNkencho pic.twitter.com/4c9w4CMk5h
— antifa.drone (@antifa_drone) December 31, 2020
Declan Ganley’s Burkean group and the incel wing of National Party (Gearóid Murphy, Mick O’Keeffe & Co.) as well as all the usuals are concerted in their efforts to demonstrate their white supremacist cred. The quiet parts are today being said out loud.
There is a concerted effort in far-right Telegram groups to try and incite violence on street by targetting people for racist online abuse following the killing of George Nkencho
— Mark Malone (@soundmigration) January 1, 2021
This follows on and is part of a misinformation campaign to polarise communities at this time.
The best thing you can do is challenge disinformation and report posts where engagement isn’t appropriate. Many of these are blatantly racist posts designed to drive recruitment to NP and other Nationalist groups. By all means protest but stay safe.