This paper is a seminar paper that summarizes Fran­ cis Edward Su’s paper “Rental harmony: Sperner’s lemma in fair division” [1] in 1999. In this paper we introduce and prove Sperner’s Lemma. Then, we introduce the fair division problem and an al­ gorithm based on Sperner’s lemma that can solve some variants of the fair division problem.

This paper examines vowel harmony initiated by a weak trigger. Height harmony in Veneto Italian dialects, wherein a post-tonic high vowel triggers raising of preceding mid vowels, forms a case study. Veneto presents two variable patterns: stresstargeted harmony, in which harmony propagates to the stressed syllable, and maximal extension harmony, in which raising persists to pretonic vowels. The...

Conklin, Jenna T. M.A., Purdue University, May 2015. The Interaction of Gradient and Categorical Processes of Long-Distance Vowel-to-Vowel Assimilation in Kazan Tatar. Major Professor: Dr. Mary Niepokuj. Vowel harmony and vowel-to-vowel coarticulation are long-distance assimilatory processes wherein certain vowels trigger systematic changes in adjacent vowels; harmony effects phonological chang...

The classic [MN55] confusion matrix experiment (16 consonants, white noise masker) was repeated by using computerized procedures, similar to those of Phatak and Allen (2007). ["Consonant and vowel confusions in speech-weighted noise," J. Acoust. Soc. Am. 121, 2312-2316]. The consonant scores in white noise can be categorized in three sets: low-error set [/m/, /n/], average-error set [/p/, /t/, ...

In Russian, the same consonant sequences are permitted in various phonotactic environments. The presence of a word boundary or reduced vowel can be phonologically contrastive, and both learners and experienced listeners may rely on fine acoustic cues to discriminate between phonotactic possibilities. In this study, durational characteristics of consonant sequences are examined to establish whet...

Three experiments investigated the role of word stress and vowel harmony in speech segmentation. Finnish has fixed word stress on the initial syllable, and vowels from a front or back harmony set cannot co-occur within a word. In Experiment 1, we replicated the results of Suomi, McQueen, and Cutler (1997) showing that Finns use a mismatch in vowel harmony as a word boundary cue when the target-...

Two phoneme monitoring experiments examined the influence of Transitional Probability (TP) on phoneme recognition. Target phonemes appeared at the end of Consonant-Vowel-Consonant (CVC) syllables, or as the first element of coda clusters in CVCC syllables. Reliable TP effects were found only for targets in CVCC syllables. The TPs both into and out of the targets influenced listeners' ability to...

This paper discusses issues including tongue position, tongue movement space, constraint etc. of Mongolian word-initial consonants. The experimental result shows that word-initial consonant tongue horizontal movement space is constrained by constriction position and is in conformity with the rule that front consonant leads to smaller tongue movement space; higher consonant leads to smaller tong...

In this paper we solve the problem of approximating a belief measure with a necessity measure or “consonant belief function” by minimizing appropriate distances from the consonant complex in the space of all belief functions. Partial approximations are first sought in each simplicial component of the consonant complex, while global solutions are obtained from the set of partial ones. The L1, L2...