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Gnomon's Guide
You can call me TC Posted Feb 18, 2016
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.
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paulh, vaccinated against the Omigod Variant Posted Feb 19, 2016
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.
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You can call me TC Posted Feb 19, 2016
I've often wondered that. Perhaps someone can enlighten us.
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Icy North Posted Feb 19, 2016
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
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Gnomon - time to move on Posted Feb 19, 2016
But our word slave came from the word Slav. The Romans called a slave "servus".
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Icy North Posted Feb 19, 2016
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?
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paulh, vaccinated against the Omigod Variant Posted Feb 19, 2016
I don't think he Otto have done that.
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ITIWBS Posted Feb 20, 2016
Something I'm currently reading with a relevance on late 19th century Slavic issues:
http://www.gutenberg.org/ebooks/51243
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Gnomon - time to move on Posted Mar 1, 2016
New to Gnomon's Guide today:
Entry A87868589 - The Ham Sandwich Theorem
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Icy North Posted Mar 1, 2016
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?
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Gnomon - time to move on Posted Mar 1, 2016
Good question. I don't know the answer. I'd say probably yes.
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Cool Old Guy (ex-SockPuppet) Trying not to post for the next 200 days ! Posted Mar 1, 2016
Cool old Guy reading frontpage (Linear Algebra < A87858706 >
"Concidering *(1/2) or /2 as beeing the single cut
Sandwich/2 = Nparts (The Ham Sandwich Theorem < A87868589 >
Cake/2 = Nparts (Envy-Free Cake Division < A27360038 >
Food = Nparts in M dimensions, well not very tasty anymore.
Guess my Occam's razor is not sharp enough. "
Gnomon's Guide
Recumbentman Posted Mar 1, 2016
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
Recumbentman Posted Mar 1, 2016
Ah, I should have read the entry before commenting. We're not talking about a single circular cake.
Gnomon's Guide
Gnomon - time to move on Posted Mar 1, 2016
My entry is about dividing three things with a single slice. Icy's one is about dividing a cake so everyone is happy.
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Bluebottle Posted Mar 2, 2016
I 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
paulh, vaccinated against the Omigod Variant Posted Mar 2, 2016
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.
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Gnomon's Guide
- 261: You can call me TC (Feb 18, 2016)
- 262: paulh, vaccinated against the Omigod Variant (Feb 19, 2016)
- 263: You can call me TC (Feb 19, 2016)
- 264: Icy North (Feb 19, 2016)
- 265: Gnomon - time to move on (Feb 19, 2016)
- 266: Icy North (Feb 19, 2016)
- 267: Gnomon - time to move on (Feb 19, 2016)
- 268: paulh, vaccinated against the Omigod Variant (Feb 19, 2016)
- 269: Gingersnapper+Keeper of the Cookie Jar and Stuff and Nonsense (Feb 20, 2016)
- 270: ITIWBS (Feb 20, 2016)
- 271: Gnomon - time to move on (Mar 1, 2016)
- 272: Icy North (Mar 1, 2016)
- 273: Gnomon - time to move on (Mar 1, 2016)
- 274: Cool Old Guy (ex-SockPuppet) Trying not to post for the next 200 days ! (Mar 1, 2016)
- 275: paulh, vaccinated against the Omigod Variant (Mar 1, 2016)
- 276: Recumbentman (Mar 1, 2016)
- 277: Recumbentman (Mar 1, 2016)
- 278: Gnomon - time to move on (Mar 1, 2016)
- 279: Bluebottle (Mar 2, 2016)
- 280: paulh, vaccinated against the Omigod Variant (Mar 2, 2016)
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