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The Strong Anick Conjecture Is True

Recently Umirbaev has proved the long-standing Anick conjecture, that is, there exist wild automorphisms of the free associative algebra K〈x, y, z〉 over a field K of characteristic 0. In particular, the well-known Anick automorphism is wild. In this article we obtain a stronger result (the Strong Anick Conjecture that implies the Anick Conjecture). Namely, we prove that there exist wild coordin...

Waterfowl of North America: SWANS AND TRUE GEESE Tribe Anserini

persian true and false cognates in english: students and teachers’ attitudes, awareness, and instruction

the ability to speak two languages in the world is a remarkable achievement. there is a good reason to believe that bilingualism is the norm for the majority of people in the world because 70% of the earth’s population are supposed to be bilingual or multilingual. various investigations have shown that the native language impacts foreign word recognition, and this influence is adapted by the de...

A bias free true random number generator

We propose a new approach to nondeterministic random number generation. In theory, the randomness originated from the uncorrelated nature of consecutive laser pulses with Poissonian photon number distribution and that of the consecutive single photon detections is used to generate random bit. In experiment, von Neumann correction method is applied to extract the final random bit. This method is...

A Strong True-Score Model for Polytomous Items∗

This paper presents a strong true-score model for tests that consist of polytomously-scored items. Errors conditional on true score are assumed to be distributed as multinomial, true category-proportion scores are assumed to follow a Dirichlet distribution, and the marginal category scores are the Dirichletmultinomial distribution. The model is illustrated using real data sets in the following ...