Khallil

general recent conversations

$TeX - LaTeX$ TeX, LaTeX and Friends

\begin{chat}

Khallil

May 6, 2024 14:32

@mickep Anime lied to me

Khallil

May 6, 2024 14:27

Long live array

Khallil

May 6, 2024 14:26

@DavidCarlisle This worked! Thank you :)

Khallil

May 6, 2024 10:27

Thanks, David. I suspect I have something wrong with my preamble because [t] is just getting typeset as part of the first term [t]y_{1}a_{1}. Will try and figure it out!

Khallil

May 6, 2024 09:58

(I'd like to maintain the matrix and would prefer not to break it up into several lines which is what has often been suggested in my searches for a solution)

Khallil

May 6, 2024 09:57

Is there an obvious way to align that equals symbol with the first line of a matrix environment within an aligned environment?

Khallil

May 6, 2024 09:56

Khallil

May 6, 2024 09:49

Safe travels :)

Khallil

Dec 23, 2023 21:23

Thanks! Had a feeling this would be the best place to ask and I wasn't wrong :)

Khallil

Dec 23, 2023 19:06

Wow that's a surprise!

Khallil

Dec 23, 2023 18:35

The large F looks fantastic but I'm struggling to recall anywhere that I've seen such a font (/graphic?) in my daily usage

Khallil

Dec 23, 2023 18:34

This is a bit of a strange one and I don't think it deserves its own post on main but does anybody think this pdf is generated with (La)TeX?
https://www.ardent-tool.com/CPU/docs/AMD/anatomy/misc/articles/r9043.pdf

$Mathematics$ Mathematics

Associated with Math.SE; for both general discussion & math qu...

Khallil

Apr 3, 2024 20:00

Don't you just right-multiply everything in K by the respective stuff in G?

Khallil

Apr 3, 2024 09:17

Do you guys write $\ell^{p}$ or $\ell_{p}$?

Khallil

Jan 26, 2024 18:14

@OussamaBasta Hi! Was that message done with backticks `?

Khallil

Jan 26, 2024 16:35

Khallil

Jan 26, 2024 16:24

(which implies connectedness)

Khallil

Jan 26, 2024 16:24

(which implies path connectedness)

Khallil

Jan 26, 2024 16:23

That looks like convexity

Khallil

Jan 26, 2024 11:15

Would be great if you defined a few things for those not following your text 👍

Khallil

Jan 26, 2024 11:14

> 'it' satisfy the leibniz rule

Khallil

Jan 23, 2024 16:48

badumtssss

Khallil

Jan 23, 2024 16:48

Tough time teaching out of $d^2 = 0$

Khallil

Jan 23, 2024 16:47

@TedShifrin I can pull some strings with a Tedd and Teddy...

Khallil

Jan 23, 2024 16:41

(Hubbard and Hubbard)

Khallil

Jan 23, 2024 16:41

@ThomasFinley I believe it's Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach Textbook by Barbara Burke Hubbard and John H. Hubbard

Khallil

Jan 23, 2024 14:33

Khallil

Jan 23, 2024 14:32

I'm somewhat of a satanist myself

Khallil

Jan 23, 2024 14:32

I worship Grothendieck

Khallil

Jan 23, 2024 12:44

(not personally a fan of that)

Khallil

Jan 23, 2024 12:44

Interestingly, Wikipedia say the terms measurable space and Borel space are synonymous

Khallil

Jan 23, 2024 12:43

Measurable space

In mathematics, a measurable space or Borel space is a basic object in measure theory. It consists of a set and a σ-algebra, which defines the subsets that will be measured. == Definition == Consider a set X {\displaystyle X} and a σ-algebra F {\displaystyle {\mathcal {F}}} on X . {\displaystyle X.} Then the tuple ( X , F...

Khallil

Jan 23, 2024 12:43

(because you may be dealing with a function from a measurable space into another general measurable space that might not be $(\mathbb{R}^{n}, \mathcal{B}(\mathbb{R}^{n})$)

Khallil

Jan 23, 2024 12:42

There's a slightly more general definition

Khallil

Jan 23, 2024 11:37

One does it in chapter 2 and the other in chapter 3

Khallil

Jan 23, 2024 11:36

(Would be very strange to encounter a book that purports to cover measure and probability without touching Lebesgue) :S

Khallil

Jan 23, 2024 11:35

Yes, both of them

Khallil

Jan 23, 2024 11:02

*that

Khallil

Jan 23, 2024 11:02

I've also heard the Le Gall has a good book on those topics

Khallil

Jan 23, 2024 11:01

(I remember reading a few chapters from it a few years ago and it felt like a good use of time)

Khallil

Jan 23, 2024 11:00

@nickbros123 Maybe Capiński and Ekkehard Kopp's Measure, Integral and Probability?

Khallil

Jan 22, 2022 20:36

Looks like a shortcut?

Khallil

Jan 22, 2022 20:35

According to Wikipedia
| We have the following chain of strict inclusions for functions over a closed and bounded non-trivial interval of the real line: Continuously differentiable ⊂ Lipschitz continuous ⊂ α-Hölder continuous

Khallil

Jan 22, 2022 20:27

Also is this Lipschitz in $x$ or $y$?

Khallil

Jan 22, 2022 20:24

I vaguely recall there being something about a bounded first derivative

Khallil

Jan 22, 2022 20:24

Are there equivalent conditions for being Lipschitz?

Khallil

Jan 22, 2022 20:22

$f(x,y) = (x^{y})^{4}$?

Khallil

Jan 18, 2022 20:12

(I keep seeing different notation for all these things and it's becoming quite annoying)

$Mathematics$ Discussion on question by AbysmalMath…

Imported from a comment discussion on math.stackexchange.com/q...

Khallil

Feb 11, 2024 21:46

From a structural point of view, I wholeheartedly agree with OP. It's nice to know the hierarchy of objects and leaving out something so basic (/fundamental/simple) always leaves a sour taste for me.

Ten fold

CrossValidated's general room for gossip, grumbles, and idle c...

Khallil

Jan 22, 2022 18:40

Hey everyone, I have a few questions about the building blocks of random variables and their probability distributions. Is anybody here to bounce some ideas off?