This paper presents a novel module-based software framework for multimedia E-learning. Interface of each module is standardized based on IEEE P1484 LTSA so that it easily communicates and combines with other modules. It can be easily reconfigured to various education models with flexibility and adaptability, since it only needs to change connection status between modules. A user can search othe...

In this paper, the Fourier series expansion of Tangent polynomials higher order is derived using Cauchy residue theorem. Moreover, some variations higher-order are defined by mixing concept with that Bernoulli and Genocchi polynomials, Tangent–Bernoulli Tangent–Genocchi polynomials. Furthermore, expansions these also

In this paper we develop a process modeling framework for the evaluation and formal validation of Panama Canal system operations. Componentand architecture-level processes are organized into a three level hierarchy and modeled in LTSA. Safety and progress requirements are formally expressed as processes that can be evaluated through compositional and search processes, respectively.

We study the Zariski tangent cone TX π −→ X to an affine variety X and the closure TX of π−1(Reg(X)) in TX . We focus on the comparison between TX and TX , giving sufficient conditions on X in order that TX = TX . One aspect of the results is to understand when this equality takes place in the presence of the reducedness of the Zariski tangent cone. Our other interest is to consider conditions ...

The viscoelastic behavior of binderless carbon black compacts under dynamic compression (0.2–10.0 Hz, static strain 1.0–2.5%, deformation amplitude 9.4–16 lm and packing density 0.18–0.45 g/cm) is governed by the solid part of the compact, with the elastic character dominating the viscous character. The viscous character increases with increasing aggregate size, while the elastic character decr...

Damping characterizes the energy dissipation capacity of materials and structures, and it is affected by several external factors such as vibrating frequency, stress history, temperature, and stress amplitude. This study investigates the relationship between the damping and the stress amplitude of environment-friendly recycled aggregate concrete (RAC). First, a function model of a member's loss...

in this paper, we first present a new important property for bouligand tangent cone (contingent cone) of a star-shaped set. we then establish optimality conditions for pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.

Gradient descent yields zero training loss in polynomial time for deep neural networks despite non-convex nature of the objective function. The behavior network infinite width limit trained by gradient can be described Neural Tangent Kernel (NTK) introduced \cite{Jacot2018Neural}. In this paper, we study dynamics NTK finite Deep Residual Network (ResNet) using tangent hierarchy (NTH) proposed \...

BACKGROUND This study compared the storage modulus (E'), the loss modulus (E'') and the loss tangent (tan δ) of various flowable resin composites. MATERIAL AND METHODS Grandio Flow (GRF), GrandioSo Heavy Flow (GHF), Filtek Supreme XTE (XTE) and Filtek Bulk Fill (BUL) flowable resins and Clinpro Sealant (CLI) ultra-flowable pit and fissure sealant resin were used. 25 samples were tested using ...