@amWhy Sorry for the late reply. Yes, I already went to that page, but I still don't understand it.

@AlexanderGruber Thank you for recommending such a material, will definitely read it (well I read books and PDFs but I tend to read it for sure if they are typeset using the TeX engine)

i am making a website (similar to proofwiki) which will be a compendium of mathematical proofs. people can sign up and add their own theorems and/or proofs

would someone like to help

@Euler2 Pythagorean Theorem?

Just kidding...

Given the events this week on MO, I thought we'd try to find as many words of length four letters or more, from MODERATOR ELECTION. Perhaps we can decided whether or not to restrict words to five or more letters.

@amWhy MOLE

DEER

^^^^^^^ @quid, @Xander, @Alexander, @Teresa, @user21820, @ParamanandSingh,@soupless, @an4s, @Anthony, @Peter, @vitamind... @anyone interested.

ERECTION You guys I imagine can relate to that! ;P

ION, CODE, RATE

@amWhy i was trying to avoid that one;)

DIRECT, or like @quid, DERELICT ;P

I wish my icon was TRICOLORED

@soupless Nice!

CORONA :(

**

ELECTRON, REMODEL

We need to REMODEL this site, don't you all think?? :)

MOTION

ROTATION, ROTOR,, MOTOR,

ROTATE

didn't notice "rotation"

NAME

RATIO, RATION, one more A and we'd have RATIONAL

MONITOR

@Peter MEAN, MANE are anagrams of NAME.

@Peter Nice!

COMODERATOR

DEMON, like @Xander :P

@Peter As in @quid and @Xander? Their both DEMONIC ;P

As a probabilist, seeing MEAN,MEDIAN and MODE in there gives me great vibes and some warm feelings!!

DELETE, DELETION That's part of the business of CURED.

MODERN

@Peter Let me beat that with INTERRELATED

TARE,TEAR

@soupless Nice!

RE-ELECTION?

TELECOMODERATION

CLEAR,RELIC

ACTION,REACTION

CORRELATE, TOLERANCE

@TeresaLisbon I pray that never happens with a former president of the US, whose last name is five letters, begins with T, and rhymes with DUMP!!

@soupless Excellent!

@amWhy Haha, yes me too!

MERIT,DEMERIT

@amWhy oooh ERECTILE

@amWhy for that i'd prefer your other suggestion-- DELETION

@TeresaLisbon Nice one!

Ok, that is embarrassing

@ParamanandSingh TOOR DAL

@AlexanderGruber Indeed!

NOTICE

ARTICLE

DREAM (ON)

ET CETERA

CREAM, CREAMED!

INTEND, INTERNAL

Wow! everyone's warmed up quite nicely!!

anagram : MORE TO CODE IN LATER

MACRO,NACRE,CRANE,ELATED

DETAIL

RANTED

MICRON RETAIL, ENTAIL

@TeresaLisbon Very reflective of a third of the meta posts these days.

@amWhy HAHA!

CRATER

MOORED

RANCOR

CLINOMETER

COME ON , READER LOTTI

TOOT

@amWhy IRE COT; ETERNAL DOOM (anagram)

CLIMATE concerns require ACTION

@amWhy This one is brilliant.

DECREMENTAL TRIO

CREED,DECREE

MORTAR

@soupless That would be @quid, @Xander, and @AlexanderGruber, right? ;D ;P

TOILET , if this has not be mentioned yet.

@soupless Pity it misses two Os.

MEDICAL ROOT TONER

ROMEO, ROMEO, wherefore are thou ROMEO?

@amWhy He'll have to be content chasing JU LITE here.

CREATE,CREATED,TRACED,CRATERED

MOTE RADIO ELECTRON

TREACLE

REMOTE COORDINATE

TOROIDAL METEOR

What am I sending,

ARMORED LOTION

Who doesn't love a good MENTOR. A MODERATOR often does MENIAL work, as do many of us, to maintain this site.

COORDINATOR

Jump in @quid, @Xander, @Alexander, or you're going to have slim pickings! ;D

Dropping out for CURED work, see you all!

TENTACLE

@TeresaLisbon See you!!

With respect to TENTACLE, thank goodness we don't have an S, given we do have an I!!

MODERATOR ELECTION − MORE CREDENTIAL TOO (anagram)

But we hope it's not just for credential. =)

ORATOR, ORNATE, DETONATOR

MENACE

RELIANCE (it is also a big company in India)

MEDIOCRE, DEMOCRAT, RELIC

TERMINAL, TERMINATOR

DEODORANT

CREDO

Maybe we also list CANTOR the set theory guy

CREMATE, CREMATION, CEREAL

RACOON, CAREEN

MERCHANT, MERCANTILE

ENACT, ENTICE

METEOR, METEORITE

RECANT

RECORD

MORDOR from LORD of the Rings

DENTAL, DECANTER

DEEM, DRAIN

MELEE, MEDAL, MODAL, LEMONADE

TRANCE, TREMOR

DEMEAN, DEMEANOR

DEMENTIA, DETRIMENTAL

DITTO, TORRENT

That's all I had before I doze off

Wow, @Paramanand! Excellent collection!!

@ParamanandSingh Sleep well!

@amWhy theirs nothing demonic about me. ;-)

@quid I find it irresistible to tease you! ;D Of course it does not apply to you!! ;D

@quid Yikes!! I typed "their" instead of the correct "they're' (mumbles to self, jealous of mod's powers to edit their comments any time they choose to!!)

@amWhy :-)

@quid Did you note my response to Teresa's RE-ELECTION?

Perhaps I didn't offer enough in terms of "clues", @quid. ;D And that applies to the entire Royal Court of T*UMP s!

It's Friday, @quid! Do please indulge me, but if you'd prefer the ignore my comments which are minimally political, no problem!

Not sure, but it doesn't seem like DETRIMENT has been listed. Context: "It is to my DETRIMENT that I volunteer on this site!" ;D

@quid Oh, I thought we'd see the day when word searches overlap, like RATION, RATIO, IOTA etc. or TEAM, TAME, MEAT...

@amWhy indeed with short words it happens quite a bit.

Also not so short ones

@quid Oh, my!! ;D

RETIREMENT

^^^^ HINT HINT, @quid ;P.

^^^ I would not permit you to do so!!!

Currently I have not plans to do so.

@quid Good!! (I just saw an opportunity to make a joke (err, another joke))

@quid, in case you missed the great fortune of our cafe/tavern, note this:

@amWhy I did not note that.

@quid You would not note that?? Or "You did not note that" or "You didn't notice that, or You had not noticed? I think I'm understanding, but given your ability to edit (WHILE CAN'T DO SO)... please choose the correct option and edit. ;P OOH... I'm becoming a pain in the butt here!

done

@quid My comment is moot, now. Kudos!

@quid I just saw this meta post, by Teresa: math.meta.stackexchange.com/questions/33461/…. She makes some good points. It's been awhile since this has been addressed on meta math, from a user seeing the bigger picture, or asking a question, not based on personal gripes based on a question of theirs, or from an answerer to a specific question.

Or "Ale-Xander Quid", so much time that would save me!! ;D

Sorry, @quid, I didn't know you needed to depart. No problem. I hope I didn't "scare you away" ;D

@XanderHenderson Love it!!

@Xander What are your that's about pinging three of the best mods on this site via:

@amWhy I thought you wanted the three best moderators?

Or, say, AleXander Quid ?

:P

@XanderHenderson ;P

@XanderHenderson Records this to use at Halloween (trick), or next year's April Fools to change my username to AleXanderQuid!. Bookmarked

Or, I could simplify, and include @Asaf, to create AXQ

If there is a moderator with a name Edward, I could cover six mods with AXED! Seven with either PAXED, MAXED, or QAXED,

Or... RAXED... BETTER yet, eight with PRAXED Oh, enough!!

Actually, A covers three mods. D, two mods, X one mod, Q, one mod, P one mod, M one mod, and R one mod. I'll need to make this a challenge in this chat, @Xander, for an anagram of AAADDXQPMR. Tall order!!

new.wordsmith.org/anagram/…

@XanderHenderson Well we allow two or three separate words, that use all and only the characters in the given string! But thanks, that will help our resident anagrammars, save time by not seeking a single word anagram. See how many letters match @Paramanand

@Xander Just includes two n's, and lacks Q and X. I think that's a divine sign for our next election!!. Even your first name (username) includes 4 of the 10 letters above!!

@XanderHenderson That's a cool site, btw!

@Xander Any plans tonight? Some R&R perhaps?

@amWhy I still need to prepare a lecture for a training that I am supposed to participate in tomorrow.

But I remember that you've frequently held office hours around 5 pm, your time.

@XanderHenderson OMG, the same Saturday training that's eaten up your last few Saturdays?

Yes.

Also, what the hell am I supposed to say in 5 minutes?!

I am supposed to record a five minute lecture with slides. :\

@XanderHenderson OMG! That sounds like an impossible assignment! Will they allow the first five minutes of a typical lecture? Do they permit you to provide context: 5 minutes of a lecture, where students have previously covered x, y, and z, and will proceed, after five minutes of instruction, to learn a, b, c prior to the end of class?

It is supposed to be a complete artifact, in 5 minutes.

Perhaps focus only on a geometrical "proof" or demonstration, of the Pythagorean Theorem (good for slides), or Pascal's Triangle....

I was thinking of a heuristic argument for the area of a circle.

It lets me make a corny joke.

Hey, @amWhy, what is the area of a circle?

(with radius r)

Yikes, I remember taking classes, after majoring in math, to get certified to teach highschool math. I never did, but class assignments were similar, it was like jumping through hoops.

@XanderHenderson (pi)r^2. ( Like baking a square pie to prove pies can be squared, with diameter r... just joking)

Pie are squared? No. Pie are round. Cornbread are square. Duh.

@XanderHenderson Hah! Good opener!!

I told you it was a corny joke.

@XanderHenderson A good ole' Dad joke which are always corny! ;D

@XanderHenderson Are you thinking, e.g., of the topic discussed here, or here.

Of course it could be be another such heuristic. But I think with your lead in joke, your topic, with visuals, is a fine idea.

@amWhy Ha! No, nothing that deep.

Just a heuristic demonstration by dividing the circle into smaller and smaller wedges, and arranging them into an approxo-rectangle.

@XanderHenderson Yes, indeed, I've come across that! Good choice. When the audience consists of classmates across the disciplines, one need to "keep it somewhat simpler". I remember, in one of my aforementioned classes, in a 10 to 15 minute presentation required for the course, to my "peers" I focused on the rotation of a cube. People liked it, but it wasn't high school level. But it did prove very useful when teaching group theory to undergrads, and became more elaborate.

@Xander one more question, I tagged this question as "contest-math" given they are trying to find f(2021). I asked them to edit their post to include the source of the question, they did not respond immediately, which doesn't indicate much. They used the tag "induction" but seem clueless as to prove by induction. Anyway, just heads up. No real need to intervene; perhaps some users can find it posted somewhere.

It is likely that the question emerged after a composition, and the OP wants to understand why their answer was incorrect. But still, the OP needs to provide the source of the question. Sigh... :(

@AlexanderGruber Compliments of Xander: