It is well known that most of the information about the dynamics of a unimodal interval map can be obtained from its “kneading sequence” (the itinerary of its turning point with respect to the map), and similar results are known for trees and dendrites having exactly one “turning point” (a point where the function is not locally one-to-one). We show here that these ideas can be extended to a la...

A stable set in a graph G is a set of pairwise non-adjacent vertices and α(G) is the size of a maximum stable set in the graph G. The polynomial I(G; x) = s0 + s1x + s2x + ... + sαx, α = α(G), is called the independence polynomial of G (Gutman and Harary, 1983), where sk is the number of stable sets of cardinality k in G. I(G; x) is partial unimodal if the sequence of its coefficients (sk) is p...

Biometrics is a science of recognizing a person based on his / her physiological or behavioral characteristics. So it plays an important role in identification and authenticating a person for immigration, physical, Forensic and Computer society. We can identify a person by using his / her any one or more than one of the characteristic traits and extract the feature set from the acquired data, a...

This article presents the main idea of a Biometric Authentication System (BAS). We will briefly describe BIOMET database, constructed for this purpose and composed of five modalities: face, hand-shape, fingerprint, online signature and speech. We have used two user-friendly biometric modalities of this database to construct the unimodal the signature modality was fused with clean and noisy spee...

I conducted an integrative field study on male cottonmouths (Agkistrodon piscivorus), a common pitviper of the southeastern United States, to investigate the evolution of contrasting mating patterns in North American pitvipers (bimodal and unimodal annual patterns) and resolve conflicting information about the pattern exhibited by the cottonmouth. I determined a unimodal late summer peak of tes...

The aim of this research was to investigate what emotions are perceived from incongruent vocal and facial emotional expressions as an integrated emotional expression. Our approach is unimodal and bimodal perceptual emotional information mapping to dimensions of emotional space created with principal component analysis (PCA). Unimodal perception tests and a bimodal congruent/incongruent percepti...

Perception of faces and voices plays a prominent role in human social interaction, making multisensory integration of cross-modal speech a topic of great interest in cognitive neuroscience. How to define potential sites of multisensory integration using functional magnetic resonance imaging (fMRI) is currently under debate, with three statistical criteria frequently used (e.g. super-additive, m...

If sk equals the number of stable sets of cardinality k in the graph G, then I(G; x) = α(G) ∑ k=0 skx k is the independence polynomial of G (Gutman and Harary, 1983). Alavi, Malde, Schwenk and Erdös (1987) conjectured that I(G; x) is unimodal whenever G is a forest, while Brown, Dilcher and Nowakowski (2000) conjectured that I(G; x) is unimodal for any well-covered graph G. Michael and Traves (...

Let P (x) be a unimodal polynomial of degree m with nonnegative coefficients and a mode n for nonnegative integers n m. We study the unimodality of P (x+ z) for real numbers z = 1 or z 2 and show that: if z = 1, P (x + z) is unimodal provided that m − n 4; if z 2, then P (x+ z) is unimodal provided that m− n 2z + 1; and we also show that the given conditions are best possible. Additionally, we ...

Automatic detection of aggressive situations has a high societal and scientific relevance. It has been argued that using data from multimodal sensors as for example video and sound as opposed to unimodal is bound to increase the accuracy of detections. We approach the problem of multimodal aggression detection from the viewpoint of a human observer and try to reproduce his predictions automatic...