background : major injuries and death in accidents have roots in drowsiness. sleepiness is a main result of insufficient sleep. it is vital to explore drowsiness and its level. there are various sorts of methods in the forms of subjective and objective approaches. the goal of this study was to detect the association of subjective and interpretive drowsiness with facial dynamic changes. methods:...

This paper focuses on effectivity aspects of the Lüroth’s theorem in differential fields. Let F be a differential field of characteristic 0 and F〈u〉 be the field of differential rational functions generated by a single indeterminate u. Let be given non constant rational functions v1, . . . , vn ∈ F〈u〉 generating a subfield G ⊆ F〈u〉. The differential Lüroth’s theorem proved by Ritt in 1932 state...

This paper investigates ways to explore the between frame correlation of shape information within the framework of an operationally rate-distortion (ORD) optimized coder. Contours are approximated both by connected second-order spline segments, each defined by three consecutive control points, and by segments of the motion-compensated reference contours. Consecutive control points are then enco...

We show that Kelley-Morse set theory does not prove the class Fodor principle, assertion every regressive function $F:S\to\text{Ord}$ defined on a stationary $S$ is constant subclass. Indeed, it relatively consistent with KM for any infinite $\lambda$ $\omega\leq\lambda\leq\text{Ord}$ there $F:\text{Ord}\to\lambda$ class. Strikingly, $A\subseteq\omega\times\text{Ord}$, such each section $A_n=\{...

Let G be an additive finite abelian group with exponent exp(G). Let S = g1 · . . . · gl be a sequence over G and k(S) = ord(g1)+· · ·+ord(gl) be its cross number. Let η(G) (resp. t(G)) be the smallest integer t such that every sequence of t elements (repetition allowed) from G contains a non-empty zero-sum subsequence T of length |T | ≤ exp(G) (resp. k(T ) ≤ 1). It is easy to see that t(G) ≥ η(...