Search results for query: *

...two parts that are independent of each other f1(b) = a in A for b in B f2(c) = a in A for c in C Thus, one gets something with a bijection to (A^B) * (A^C) |A|^(|B|+|C|) = (|A|^|B|) * (|A|^|C|) (A*B)^C: f(c) = (a,b) for a in A, b in B, c in C Can be split up into f1(c) = a, f2(c) = b, making...

Then the hypothesis of Paleolithic continuity for Indo-European and Uralic -- that involves very slow rates of language change. There is also plenty of documentation of language change for some places with long recorded histories. Anatolia, for instance. Hittite and other Anatolian IE langs...

JAJ then continues with various levels of language family, though the dividing lines are rather arbitrary. Deep level: 8,000 - 5,000 years ago - Neolithic, Mesolithic - Uralic, Indo-European, Semitic, Sino-Tibetan, Austroasiatic, Austronesian Medium level: 3,000 - 1,000 years ago - Iron Age -...

Some thoughts on the Proto-Indo-European cardinal numbers Allan R. Bomhard 1 to 10. Some Old World experience of linguistic dating J.A. Janhunen Noting that Eurasian language families are much younger than the populations of their speakers. Also noting that if one handles Indo-European like...

...inadequately-researched putative protoforms. He proposes some trans-African roots, and also mentions some as having cognates outside of Africa: *kala "crab": Nilo-Saharan, Niger-Congo, Afroasiatic, and outside of Africa: Japanese, Korean, Austroasiatic, Austronesian, Andamanese...

Václav Blažek himself wrote A lexicostatistical comparison of Omotic languages Me: one of the branches of Afroasiatic, near the Omo River in E Ethiopia Erosion in Chadic Herrmann Jungraithmayr Notes an odd sort of change in Hausa: replacement of many verbs with constructions meaning "to do...

(PDF) Lexicostatistical comparison of Omotic languages with PDF: In Hot Pursuit of Language in Prehistory : Essays in the Four Fields of Anthropology : in Honor of Harold Crane Fleming - FlemingFs_ed_by_JBengtson.pdf It's a whole book, and I decided to read it and comment on it. Geography...

...is associated with some set, then if the sets are nonempty and disjoint with maximum cardinality M, then the set union's cardinality is at least X and at most M*X. Likewise, if every set has cardinality at least 2 and at most M, then the set product's cardinality is at least 2^X and at most M^X.

For at least one of a and b infinite, and also the axiom of choice, a + b = max(a,b) and with the further condition of being greater than 0, a*b = max(a,b) I was unable to find a proof of that in ProofWiki, but I did find Countable Union of Countable Sets is Countable - ProofWiki Cartesian...

...C = A union C' = A union B' union D' Thus, (A union B) <= (A union C) and if |B| <= |C|, then |A|+|B| <= |A|+|C| Now multiplication. How are A*B and A*C related? A*C = A*(B union D) = (A*B) union (A*D) Thus, |A|*|B| <= |A|*|C| Collecting these results, b <= c implies (a+b) <= (a+c) and...

Multiplication: The Cartesian product: A*B = {(a,b) | a in A, b in B} B*A = {(b,a) | a in A, b in B} A bijection from reversing the elements in the pair. |A*B| = |B*A| |A|*|B| = |B|*|A| It is commutative A*(B*C) = {(a,(b,c)) | a in A, b in B, c in C} (A*B)*C = {((a,b),c) | a in A, b in B, c...

I will give proofs of these cardinal-arithmetic results. ProofWiki is a good place to look. It is "an online compendium of mathematical proofs!" Addition: Union is Commutative - ProofWiki and Union is Associative - ProofWiki Intersection is Commutative - ProofWiki and Intersection is...

Say What These Attacks Are: Not Just Islamophobia, but Anti-Palestinianism - March 18 2024, 5:00 a.m. - "From Joe Biden on down, liberals denounce anti-Muslim bias to avoid mentioning the scourge of hate against Palestinians." I agree that lots of people seem to suffer from Paliphobia, for lack...

Police Unions, GOP Want Reform DA Removed from Cop’s Case - March 22 2024, 1:34 p.m. - "Reform-minded district attorneys like Minnesota’s Mary Moriarty are facing backlash for prosecuting police shootings and misconduct." Seems plausible. Consider: California AG Ends San Francisco’s First...

Intercepted: A Canadian Doctor on His Medical Mission to Gaza - March 23 2024, 5:00 a.m. - "“I saw scenes that were horrific and I never want to see again,” said Yasser Khan, a surgeon from Toronto." Gaza Humanitarian Worker: Biden Is on Board for Ethnic Cleansing - March 23 2024, 6:00 a.m. -...

Also among ex-Soviet republics, Armenians throng center of the capital to demand the prime minister's resignation | AP News and Protests shut streets in Armenia's capital, roads in other parts to demand the prime minister resign | AP News Because of Armenia and Azerbaijan move closer to...

Turning to another ex-Soviet Republic, Eurasian Georgia, not the US state, it is having a big kerfluffle over a foreign-agents law. Georgia parliament overturns veto on foreign agents law The bill was passed in May 14: Civil Georgia | Majority Passes “Foreign Agents” Bill 83-23 in Second...

'It's All Lies': Supporters Say Petty Politics Lies Behind Treason Conviction Of Ailing Russian Scientist - June 29, 2023 15:57 GMT Was Zelenskiy Right About Central Asian Leaders 'Fearing' The Kremlin? Russia Declares Barred Presidential Candidate, Soldiers' Wives Group 'Foreign Agents'...

Putin Boasts Of Russia's Hypersonic Weapons, But A Dozen Scientists In The Field Face Treason Charges Is this related to Vladimir Putin's interest in hypersonic weaponry? What a theory. Or Vladimir Putin could be suffering from Stalinist paranoia about his underlings. Finding these...

How Putin's Police State Leaves Russia Vulnerable To Terrorist Attacks - March 23, 2024 10:54 GMT and and Then mentioning the sinking of nuclear submarine Kursk in the Barents Sea in 2000, and the bungled official responses, responses which caused more casualties, responses to the attack on...