This is the Message Centre for Gnomon - time to move on

Gnomon's Guide

Post 261

You can call me TC

The Slavic word for German (variations on nymsky, depending on which language, I think) also means "no words" - as the Slavs couldn't understand a word the Teutonic invaders spoke. Or so a Polish friend tells me.

Funny how these things then stick.


Gnomon's Guide

Post 262

paulh, vaccinated against the Omigod Variant

Wasn't Slav the word for slave? if the Germans invaded and made the Slavs slaves, calling the invaders "no words" must have seemed like the only retribution they could get away with.


Gnomon's Guide

Post 263

You can call me TC

I've often wondered that. Perhaps someone can enlighten us.


Gnomon's Guide

Post 264

Icy North

Slav (n.)
late 14c., Sclave, from Medieval Latin Sclavus (c.800), from Byzantine Greek Sklabos (c.580), from Old Church Slavonic Sloveninu "a Slav," probably related to slovo "word, speech," which suggests the name originally identified a member of a speech community


Gnomon's Guide

Post 265

Gnomon - time to move on

But our word slave came from the word Slav. The Romans called a slave "servus".


Gnomon's Guide

Post 266

Icy North

I think you may be right:

slave (n.)
late 13c., "person who is the chattel or property of another," from Old French esclave (13c.), from Medieval Latin Sclavus "slave" (source also of Italian schiavo, French esclave, Spanish esclavo), originally "Slav" (see Slav); so used in this secondary sense because of the many Slavs sold into slavery by conquering peoples.

This sense development arose in the consequence of the wars waged by Otto the Great and his successors against the Slavs, a great number of whom they took captive and sold into slavery. [Klein]


When was Otto the Great around?


Gnomon's Guide

Post 267

Gnomon - time to move on

10th century


Gnomon's Guide

Post 268

paulh, vaccinated against the Omigod Variant

I don't think he Otto have done that.


Gnomon's Guide

Post 269

Gingersnapper+Keeper of the Cookie Jar and Stuff and Nonsense

~ smiley - smiley ~


Gnomon's Guide

Post 270

ITIWBS

Something I'm currently reading with a relevance on late 19th century Slavic issues:

http://www.gutenberg.org/ebooks/51243


Gnomon's Guide

Post 271

Gnomon - time to move on

New to Gnomon's Guide today:

Entry A87868589 - The Ham Sandwich Theorem


Gnomon's Guide

Post 272

Icy North

Very good!

Steinhaus was also a pioneer of cake division mathematics - I mention him in that other entry.

Can we generalise this further by saying that we can divide by any given ratio with a single cut, not just 50:50?


Gnomon's Guide

Post 273

Gnomon - time to move on

Good question. I don't know the answer. I'd say probably yes.


Gnomon's Guide

Post 274

Cool Old Guy (ex-SockPuppet) Trying not to post for the next 200 days !

Cool old Guy smiley - cogs reading frontpage (Linear Algebra < A87858706 &gtsmiley - winkeye
"Concidering *(1/2) or /2 as beeing the single cut

Sandwich/2 = Nparts (The Ham Sandwich Theorem < A87868589 &gtsmiley - winkeye
Cake/2 = Nparts (Envy-Free Cake Division < A27360038 &gtsmiley - winkeye

Food = Nparts in M dimensions, well not very tasty anymore.

Guess my Occam's razor is not sharp enough. "


Gnomon's Guide

Post 275

paulh, vaccinated against the Omigod Variant

What if the cake is small enough to eat in one bite, thus requiring no cutting at all? smiley - evilgrin


Gnomon's Guide

Post 276

Recumbentman

It has to be possible to divide a cake in any ratio with one cut, as there are infinite parallel loci for placing the knife.


Gnomon's Guide

Post 277

Recumbentman

Ah, I should have read the entry before commenting. We're not talking about a single circular cake.


Gnomon's Guide

Post 278

Gnomon - time to move on

My entry is about dividing three things with a single slice. Icy's one is about dividing a cake so everyone is happy.


Gnomon's Guide

Post 279

Bluebottle

smiley - huhI thought it was about trisecting Toblerones?

Ah – I see, Icy's done:
A87816847 – How to Trisect a Toblerone
A27360038 – Envy-Free Cake Division
A17719220 - The Mathematician and the Blancmange

I didn't there were so many food mathematics entries!

<BB<


Gnomon's Guide

Post 280

paulh, vaccinated against the Omigod Variant

I didn't realize it either, but cake division is obviously very consequential. I thought it would be easy, but it's no piece of cake. smiley - winkeye


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