hello

hi

Time for some more mathfitti: Let's build numbers using just +, *, and 1's. (And parentheses if you must.) So 7 = 1 + (1+1)*(1+1+1) and 18=(1+1)*(1+1+1)*(1+1+1) . For n>1 let c(n) count the smallest number of ones necessary to form n. It is easy to show 3lg n <= c(n) < 5 lg n, where lg is log base 3. Is c(n) <= 4 lg n for all n>1? So far the extreme case seems to be n=1439.

mh

1439 is a prime

how did you check those cases ?

and why exactly do you calculate in log base 3 ?

The answer is nicely expressed in terms of lg. The calculations are done via program, not using base 3 arithmetic. See OEIS for links to a nice version in C.

ah it was a puzzle not a question ?

For checking the inequality, it suffices to check it only for those n such that c(n)> c(m) for all m < n.

If it is a puzzle, it is one to whch I want to know the answer and currently do not.

Anyone around? @WillJagy? I have some goodies for you guys, but I need some input on it

Basically, I have a script that adds mathjax buttons and keyboard shortcuts

(Ctrl-M for $...$, Ctrl-D for $$...$$, applies on selected text)

I was wondering if there are any other feature you would like for that

oh that's cool

haha

(For example, Chem.SE has $\ce{...}$)

i don't have any input tho

Any common mathjax snippets that you find yourself using a lot?

\mathbb{..}

Like maybe \mathbf?

@JonBeardsley for number sets? That could be a button

or, well, for integers, reals, complexes, etc. we frequently write $\mathbb{R}$

or whatever

and i dunno, a lot of people have this shortened to \R, \Z, \C, \P, whatever

So something like Alt-S and you get \mathbb{...} with the cursor at the ... (or selected text gets enclosed in mathbb)

in their personal LaTeX stuff

@JonBeardsley Ah, that too

but yeah i dunno, i don't want to be the only one making suggestions, haha

You can use \newcommand in MathJax, so that helps :)

oh really? what about chatjax?

i mean, is it permanent?

@JonBeardsley Same thing

Chatjax is just a bookmarklet that loads mathjax

i see

@JonBeardsley If newcommand is on the page, it gets loaded

haha interesting, sooo i could do something like

\newcommand{\R}{\mathbb{R}}

is that syntax right

Yep

$\R$

No, like this

$\newcommand{\R}{\mathbb{R}}$

$\R$

^^ in all its glory

$\renewcommand{\R}{\mathbb{ISMELLBAD}}$

$\R$

ah crap it keeps disappearing

It works!

Actually, an interesting userscript would be one that lets you manage your own \newcommands, and inserts them into posts whenever you try to use them

yeah that'd be really cool, or like, yeah a button you press that just quickly loads all your newcommands

\newcommand{\R}{\mathbb{R}}

what am i doing wrong here

You need dollar signs.

ohhhhhhh

sure

Also, since it's already defined, you need to do \renewcommand.

hahaha

@EvanJenkins moneymoneymoneymoney

$\renewcommand{\R}{\mathbb{R}}$

@EvanJenkins NO! Nobody touches my beloved \R

$\R$

BOOM

what does \R usually do?

nothing

It's just that I had defined it before you

oh

but wait a second... so... we're all running the same newcommands?

$\R$

$\R$

Oops I broke it.

$\mathbb$

dangitz

dudebro

$\newcommand{\a}{a}$

$\a$

$\newcommand{\a}{b}$

$\R$

$\a$

haha

cool

$\to$

$\R$

No need for \renewcommand

I broke chat.

Sorry.

$\newcommand{\G}{\mathfrak{GODZILLA}}$

$\G$

noice!

Stop breaking mathbb, people! Poor Cantor is turning uncountably infinite times in his grave!

what the hell am i doing, i'm supposed to be making "slides" for my calculus babies

uhoh, look out, here comes $\G$

that's super convenient

$\mathfrak{F}$, $\mathfrak{G}$

in demazure and gabriel's groupes algebrique, Tome I, their F's and G's look identical

@JonBeardsley One of my friends was learning LaTeX. He was very fond of using custom commands. One day, I created a python program that overwrites all newcommands and makes them into various nonsense things. I then aliased latex to it. Poor guy was completely confused :P

hahah

$\mathbb{R}$

that's great. i wish i knew how to do things like that

WHAT HAVE YOU DONE EVAN

$\diamondsuit$

Can somebody delete my post where I broke mathbb?

lol

$\mathbb{R}$

I flagged it for moderator attention.

Are there any moderators around?

It's probably not good that some malefactor can come and ruin various LaTeX commands.

i was thinking about that

i wish it only changed it for YOU, not for everyone in here

$\R$

$\renewcommand{\R}{\mathrm{I'm~a~dummy}}$

$\mathbb{R}$

$\R$

@DominicMichaelis didn't use dollar signs

Hello all: have popped in to address flag!

$\mathbb{R}$

Any good?

Evan broke \mathbb

Praise the Lord!

An angel from on high!

@EvanJenkins Working?

$\mathbb{R}$

@evan give me 2 mins

$\mathbb{R}$

:(

@JosephWright let me try it 2 mins

I think somebody re-broke it.

somebody killed \mathbb

@DominicMichaelis OK

@DominicMichaelis I can't actually tell :-)

oh boy

$\mathbb{R}$

nope

Should I just kill all of the \renewcomands?

yes

@JonBeardsley OK

Will work backward

Evan, you owe this guy a nice dinner

$\mathbb{R}$

Hrm

Have killed some: any joy?

$\mathbb{R}$

@JonBeardsley What about this one?

is anyone left?

that was just to demonstrate a point

OK

It works

I reloaded chat.

@EvanJenkins Cool

All right, I won't do that again.

@EvanJenkins :-)

Thank you @JosephWright.

should we ban renewcommand from chat ?

Probably.

$\R$

oh

that one is still set

apparently

$\renewcommand{\R}{\mathbb{R}}$

$\R$

$\R$

$\let\mathbbb = \mathbb$

$\mathbbb{Q}$

$\mathcal{R}$

$\renewcommand{\mathbb}{\mathfrak{ISMELLBAD}}$

$\R$

$\mathscr{F}$

$\mathscr{R}$

$\mathscr{I}$

$\mathscr{C}$

$\mathscr{K}$

$\let\mathbb = \mathbbb$

$\R$

Sehr gut.

I'm not going to rest until I find all of the ways to abuse ChatJax.

did you ever redefine \fi in latex ?

That sounds like a bad idea.

Hm

$\mathbb{R}$

Maybe I shouldn't try this.

try it at home not in public ;)

It worked in real LaTeX.

By "worked" I mean I was successfully able to break and then unbreak things.

Maybe this would go over better at the tex.stackexchange chatroom.

this is not your mother's LaTeX

They've probably already figured out all the ways to break things.

which sounds weird

well that didn't last long

lol!

@JosephVanName Thanks again for answering my Question :)

I think I found a bug on this domain's robots.txt. It says "Allow: /transcript/" when clearly everybody present would prefer "Disallow: /transcript/"

lol

clearly?

what would happen if that were disallowed>?

SE chat transcripts have always been indexed

If it were disallowed, chat transcripts wouldn't show up in searches.

oh isee

I just don't want "ISMELLBAD" to be the first thing people see when they Google me.

It will hurt my job prospects.

but

i mean. you don't want to be a liar do you?

There's a big difference between lying and simply omitting truths.

lol. man, i think that'd be some information i'd really like if i was going to hire someone. their odor level

i mean, it would at least sort of have to overshadowed by math powers

This is the primary reason for in-person interviews.

haha! dear sir or madam, due to your outrageous stank, we will not be able to hire you this year

@anon Lol. All @EvanJenkins's fault

Oh, sure. Blame me.

in case you didn't know.... $\mathbf{D}f(\mathbf{x})\mathbf{v}&=\mathrm{grad}f(\mathbf{x})\cdot\mathbf{v}=\n‌​abla f(\mathbf{x})\cdot\mathbf{v}\\&=\left[\frac{df}{dx}(\mathbf{x})\right]v_1+\left[\‌​frac{df}{dy}(\mathbf{x})\right]v_2+\left[\frac{df}{dz}(\mathbf{x})\right]v_3$

well that just didn't work

Take out the ampersands.

$\mathbf{D}f(\mathbf{x})\mathbf{v}=\mathrm{grad}f(\mathbf{x})\cdot\mathbf{v}=\na‌​bla f(\mathbf{x})\cdot\mathbf{v}=\left[\frac{df}{dx}(\mathbf{x})\right]v_1+\left[\fr‌​ac{df}{dy}(\mathbf{x})\right]v_2+\left[\frac{df}{dz}(\mathbf{x})\right]v_3$

lol

Close.

whoops

lol, nvm. :(

@JonBeardsley That's what I call a... puts on glasses

Math Overflow!

Now, now

No need to pun-ish him any further.

hello