EI ρA Wn(x) eigenfunction corresponding to the n th eigenvalue Tn(t) generalized function corresponding to the n th eigenvalue Fn(t) forcing function in terms of the n th eigenmode z the deflection of the beam in the complex plane x nondimensional length scale by chord length of the NACA0012 airfoil κ Reduced plunging frequency, ωc U∞ h non-dimensional amplitude,y/c ha maximum nondimensional am...

The paper presents an application of the wavelet transform for damage detection based on optical measurements. A number of important issues that need to be considered when image sequences are used for vibration analysis are discussed. These include: correspondence of image features from image to image, image calibration and spatial resolution. The principles of image edge detection are discusse...

ing the sharp edges between them [2, 3, 4, 5]. They are appropriate for removing noise before edge detection. However, they are not as useful for filling gaps in surface-like high density regions. We developed a simple filter specifically tailored for this purpose. Briefly, we predicted the surface normal direction, and then used oblate (flattened) ellipsoidal filters, whose short axis were ori...

‎let $g$ be a graph and $chi^{prime}_{aa}(g)$ denotes the minimum number of colors required for an‎ ‎acyclic edge coloring of $g$ in which no two adjacent vertices are incident to edges colored with the same set of colors‎. ‎we prove a general bound for $chi^{prime}_{aa}(gsquare h)$ for any two graphs $g$ and $h$‎. ‎we also determine‎ ‎exact value of this parameter for the cartesian product of ...

BACKGROUND AND AIM: Malocclusions are major traits whose prevalence should be noticed, by gender, among high school students to program oral health status in a society and clarify the needs and demands of this orthodontic field. METHODS: In a cross-sectional population-based study, using a stratified random cluster sampling design, a sample of 1338 students of Shiraz, aged 14-18 years from 15 h...

Let $G$ be a finite group. The prime graph of $G$ is a graph $Gamma(G)$ with vertex set $pi(G)$, the set of all prime divisors of $|G|$, and two distinct vertices $p$ and $q$ are adjacent by an edge if $G$ has an element of order $pq$. In this paper we prove that if $Gamma(G)=Gamma(G_2(5))$, then $G$ has a normal subgroup $N$ such that $pi(N)subseteq{2,3,5}$ and $G/Nequiv G_2(5)$.