[Azath Vitr (D'ivers]

Math/measure theoretic probability textbook marketed for 'self-study' is full of errors not included in the errata and skips lots of steps while getting what 'work' it does show wrong.

For example it uses integration by parts in a proof but has 'v' where it should say 'dv/dx' and omits the algebra that would demonstrate its error... it would be easy to follow along if it showed more of the steps, but checking this shit is tedious.

It doesn't help that the usual formula for integration by parts is needlessly confusing: integral u dv = vu - integral v du instead of the equivalent formula u (dv/dx) dx = integral v (du/dx) dx which is easier to remember and re-derive (because by the product rule d(uv)/dx = u(dv/dx)+v(du/dx) so taking antiderivative of both sides we get uv = integral (u (dv/dx) + v (du/dx)) dx which by linearity of the integral = integral u (dv/dx) dx + integral v (du/dx) dx

[Abyss]

Azath Vitr (D, on 25 June 2023 - 07:06 PM, said:

Math/measure theoretic probability textbook marketed for 'self-study' is full of errors not included in the errata and skips lots of steps while getting what 'work' it does show wrong.

For example it uses integration by parts in a proof but has 'v' where it should say 'dv/dx' and omits the algebra that would demonstrate its error... it would be easy to follow along if it showed more of the steps, but checking this shit is tedious.

It doesn't help that the usual formula for integration by parts is needlessly confusing: integral u dv = vu - integral v du instead of the equivalent formula u (dv/dx) dx = integral v (du/dx) dx which is easier to remember and re-derive (because by the product rule d(uv)/dx = u(dv/dx)+v(du/dx) so taking antiderivative of both sides we get uv = integral (u (dv/dx) + v (du/dx)) dx which by linearity of the integral = integral u (dv/dx) dx + integral v (du/dx) dx

AV are you high as fuck or did you get hacked?

[Abyss]

amphibian, on 25 June 2023 - 04:45 PM, said:

...
I'd be keeping the dog in the cab of the truck rather than the bed. So much safer, especially if anything happens to the driver (accident etc).

This.
I know dogs in the back of the truck is some kind of beautiful image but along w hanging their heads out the window it's really just a nice, convenient, low effort way to injure your dog.

[Azath Vitr (D'ivers]

Abyss, on 26 June 2023 - 04:36 PM, said:

Azath Vitr (D, on 25 June 2023 - 07:06 PM, said:

Math/measure theoretic probability textbook marketed for 'self-study' is full of errors not included in the errata and skips lots of steps while getting what 'work' it does show wrong.

For example it uses integration by parts in a proof but has 'v' where it should say 'dv/dx' and omits the algebra that would demonstrate its error... it would be easy to follow along if it showed more of the steps, but checking this shit is tedious.

It doesn't help that the usual formula for integration by parts is needlessly confusing: integral u dv = vu - integral v du instead of the equivalent formula u (dv/dx) dx = integral v (du/dx) dx which is easier to remember and re-derive (because by the product rule d(uv)/dx = u(dv/dx)+v(du/dx) so taking antiderivative of both sides we get uv = integral (u (dv/dx) + v (du/dx)) dx which by linearity of the integral = integral u (dv/dx) dx + integral v (du/dx) dx

AV are you high as fuck or did you get hacked?

I do like listening to mathematicians who are tripping on LSD and talking about cutting edge geometries.

Simple as it is by comparison, calculus is ravishingly beautiful---and sublime.

But the standard integration by parts formula is ugly and obfuscatory. Whereas the expression using dv/dx / du/dx is claire, luxe, et volupté.

Of course Riemann, probably best known in the popular imagination for non-Euclidean geometry (eventually leading to the non-Euclidean geometry of General Relativity), is also who the standard elementary calculus integral is named after....

In measure theoretic probability, the Lebesgue integral beautifully turns the Riemann integral on its head and inside out---instead of infinitely shrinking rectangles rising from the x axis down to vertical strips to get arbitrarily close to the area under the curve, it assigns a length-like 'measure' to the inverse image of the y values (so the x value can discontinuously jump around infinitely often, instead of being a continuous rectangle) and if certain conditions are met (also required for Riemann integration) then gets arbitrarily close to the area under the curve with an enumerably infinite sequence of weighted sums of finite sequences.

(Measure theory is necessary for a rigorous understanding of modern probability theory.)

This post has been edited by Azath Vitr (D'ivers: 26 June 2023 - 09:13 PM

[Tsundoku]

Answer: high as fuck.

[Azath Vitr (D'ivers]

Quote

A Philadelphia History Museum Is Welcoming a Right-Wing Moms Group This Weekend. [...]

This Thursday through Sunday, Moms for Liberty will host its annual Joyful Warriors summit in Philadelphia. Speakers include [...] Trump and [...] DeSantis. Included in the summit is a gathering scheduled to take place in a rented space at the Museum of the American Revolution [...]

[...] The museum's decision to host an organization that has been labeled a "hate group" [...] has generated outrage throughout the historical community. Over the past few weeks, a number of organizations [...] have published statements denouncing Moms for Liberty and the museum's plans.

[... M4L's] track record "of engaging with white supremacist groups to intimidate school boards." [...]

"Because fostering understanding within a democratic society is so central to our mission," a [museum] spokesperson said, "rejecting visitors on the basis of ideology would be antithetical to our purpose."

Moms for Liberty protest in Philadelphia: Why a history museum is hosting the group. (slate.com)

Oh ffs what are they going to host next a Neo-Nazi summit? KKK?...

This post has been edited by Azath Vitr (D'ivers: 29 June 2023 - 04:26 PM

[Azath Vitr (D'ivers]

Though I guess it gives a silver lining to the wildfire smoke returning... bet they'll be refusing to wear masks.

[Slow Ben]

Well, your gods damned Canadian smoke has made it to Southern Illinois. Thanks Canada.




It’s not really that bad, just makes it look foggy all day.

This post has been edited by Slow Ben: 30 June 2023 - 01:45 AM

[QuickTidal]

Slow Ben, on 29 June 2023 - 04:46 PM, said:

Well, your gods damned Canadian smoke has made it to Southern Illinois. Thanks Canada.




It’s not really that bad, just makes it look foggy all day.

It's bad, and we are sorry. I wish it were better, but our Conservative shitbag premier/walking potato man cut funding to the forest fire task force over a year ago...and now he acts surprised that we can't seem to get them under control.

[Abyss]

Slow Ben, on 29 June 2023 - 04:46 PM, said:

Well, your gods damned Canadian smoke has made it to Southern Illinois. Thanks Canada.

It's not really that bad, just makes it look foggy all day.

You're welcome, eh.
Sorry.

[worry]

Azath Vitr (D, on 29 June 2023 - 04:26 PM, said:

Quote

A Philadelphia History Museum Is Welcoming a Right-Wing Moms Group This Weekend. [...]

This Thursday through Sunday, Moms for Liberty will host its annual Joyful Warriors summit in Philadelphia. Speakers include [...] Trump and [...] DeSantis. Included in the summit is a gathering scheduled to take place in a rented space at the Museum of the American Revolution [...]

[...] The museum's decision to host an organization that has been labeled a "hate group" [...] has generated outrage throughout the historical community. Over the past few weeks, a number of organizations [...] have published statements denouncing Moms for Liberty and the museum's plans.

[... M4L's] track record "of engaging with white supremacist groups to intimidate school boards." [...]

"Because fostering understanding within a democratic society is so central to our mission," a [museum] spokesperson said, "rejecting visitors on the basis of ideology would be antithetical to our purpose."

Moms for Liberty protest in Philadelphia: Why a history museum is hosting the group. (slate.com)

Oh ffs what are they going to host next a Neo-Nazi summit? KKK?...

What do you mean 'next'? Moms For Liberty did just literally quote Hitler on their newsletter. It was one chapter in Indiana, but still, it's 100% their MO everywhere. Saw someone a few days ago call them Klanned Karenhood.

[Slow Ben]

They’re worse than that damned Canadien smoke.

[worry]

Speaking of Canadian smoke, RIP to Sue Johanson — trailblazing Canadian sex educator and RN who even Americans were lucky to see on TV for a few years. She was no doubt responsible for sparking many a (safe and fun) Canadian house fire.

[Abyss]

worry, on 30 June 2023 - 01:10 AM, said:

Speaking of Canadian smoke, RIP to Sue Johanson — trailblazing Canadian sex educator and RN who even Americans were lucky to see on TV for a few years. She was no doubt responsible for sparking many a (safe and fun) Canadian house fire.

that woman WAS fire.

[TheRetiredBridgeburner]

Physio confirmed yesterday evening I've torn an adductor muscle. Not a bad tear, all told, and I've got exercises to do for three weeks with a follow up. Frustrating when the LOTR challenge has been going so well, but better three weeks off everything now than it gets worse and ends up being much longer.

The downside is I'm definitely an "exercises lots for sanity" person, so this is going to be a fun three weeks. Everybody pity Mr Not a Blacksmith, quick

This post has been edited by TheRetiredBridgeburner: 30 June 2023 - 03:36 PM

[Abyss]

TheRetiredBridgeburner, on 30 June 2023 - 07:24 AM, said:

Physio confirmed yesterday evening I've torn an abductor muscle. Not a bad tear, all told, and I've got exercises to do for three weeks with a follow up. Frustrating when the LOTR challenge has been going so well,...

oh ffs TRB, you tried to simply walk into Mordor, didn't you?

[worry]

[TheRetiredBridgeburner]

Abyss, on 30 June 2023 - 03:04 PM, said:

TheRetiredBridgeburner, on 30 June 2023 - 07:24 AM, said:

Physio confirmed yesterday evening I've torn an abductor muscle. Not a bad tear, all told, and I've got exercises to do for three weeks with a follow up. Frustrating when the LOTR challenge has been going so well,...

oh ffs TRB, you tried to simply walk into Mordor, didn't you?

Guilty!

worry, on 30 June 2023 - 03:23 PM, said:

Have I mentioned you guys are the best?

[Tiste Simeon]

TheRetiredBridgeburner, on 30 June 2023 - 03:35 PM, said:

Abyss, on 30 June 2023 - 03:04 PM, said:

TheRetiredBridgeburner, on 30 June 2023 - 07:24 AM, said:

Physio confirmed yesterday evening I've torn an abductor muscle. Not a bad tear, all told, and I've got exercises to do for three weeks with a follow up. Frustrating when the LOTR challenge has been going so well,...

oh ffs TRB, you tried to simply walk into Mordor, didn't you?

Guilty!

worry, on 30 June 2023 - 03:23 PM, said:

Have I mentioned you guys are the best?

Hmm my theory lies more in the direction of "you were fangirling way too hard over Iron Maiden and somehow hurt your yourself!" You did, didn't you?

[Lady Bliss]

I don’t mean to whine, but I woke up to a text from mom this morning saying that she wasn’t sure where she has been the last month or whether she has remembered to take care of her dog. All I could do was assure her that she has been busy and that she talked about her dog every day to me. I hate this.