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The n crossing number of a graph G, denoted crn(G), is the minimum number of crossings in a drawing of G on an orientable surface of genus n. We prove that for every a > b > 0, there exists a graph G for which cr0(G) = a, cr1(G) = b, and cr2(G) = 0. This provides support for a conjecture of Archdeacon et al. and resolves a problem of Salazar.

This paper proposes a new equation to show the time domain features of jitter: Jitter = (Ti+1-Ti)/Ti. The subjects are tonal language speakers. Jitter is extracted from EGG signals. The results show that: (1) jitter does not obey Gaussian distribution but multimodal distribution; (2) the first peak position near zero of the jitter distribution curve increases with the pitch; (3) each peak posit...

We prove an analog of the Szemerédi-Trotter theorem in the plane for definable curves and points in any o-minimal structure over an arbitrary real closed field R. One new ingredient in the proof is an extension of the well known crossing number inequality for graphs to the case of embeddings in any o-minimal structure over an arbitrary real closed field.

This paper describes a methodology, and the results stemming from it, for analysing the dynamic encoding of speaker identity and dialect in prosodic parameters. A method based on employing properties of the well known Dynamic Time Warping (DTW) algorithm’s path of best match allows the separation of purely dynamic from static properties of acoustic parameters and hence their evaluation as to dy...

This paper evaluates attitudes of Iranians toward crossing red traffic lights and their sensitivity to fines. Economic theory of crime under expected utility predicts that because of the possibility of severe punishments, risk adverse individuals would not cross red lights. This is implied by the Becker proposition. However, among 262 individuals surveyed, more than half of the sample has previ...

producing hybrid lettuce is prevented by flower structure and usually lead to selfing. based on it, this experiment was carried out to evaluate the performance of different physical and chemical emasculation methods for producing lettuce hybrid seed. a numbers of cultivars with dominant and recessive traits were used as male and female parents, respectively. in the first experiment, physical em...