Assume that u; v : [a; b] ! R are monotonic nondecreasing on the interval [a; b] : We say that the complex-valued function h : [a; b] ! C is S-dominated by the pair (u; v) if jh (y) h (x)j 2 [u (y) u (x)] [v (y) v (x)] for any x; y 2 [a; b] : In this paper we show amongst other that Z b a f (t) dh (t) 2 Z b a jf (t)j du (t) Z b a jf (t)j dv (t) ; for any continuous function f : [a; b] ! C. Appl...

Trapezoidal words are words having at most n+1 distinct factors of length n for every n ≥ 0. They therefore encompass finite Sturmian words. We give combinatorial characterizations of trapezoidal words and exhibit a formula for their enumeration. We then separate trapezoidal words into two disjoint classes: open and closed. A trapezoidal word is closed if it has a factor that occurs only as a p...

The closed-form solution of the transient response of damped dynamic force microscopy subjected to the nonlinear interatomic force is derived. The frequency shift and the decay rate of a V-typed probe can be determined easily and precisely by the proposed method. If the taper ratio is zero, a uniform cantilever is obtained. Moreover, the transient response of a non-uniform cantilever can be det...

The bridge of Shanghai Metro Line 10 over 6 is a U-shaped concrete single-box double-cell box beam continuous bridge. A novel method applied to construct the asymmetric cantilever prefabricated and assembled due limited construction space complex environment. Four mechanical state control methods are during T-shape structure process: tensioning pre-stressed steel strand, jacking by axial force ...

Natural and artificial superhydrophobic surfaces are a rapidly growing topic in both academia industry due to their unique properties applications. Numerous techniques have been developed characterize the wetting of such surfaces, as optical contact angle goniometer, force-based methods, microscopic for visualizing interface. However, method that combines nN resolution force measurement with di...

In this study, novel p-type scallop-shaped fin field-effect transistors (S-FinFETs) are fabricated using an all-last high-k/metal gate (HKMG) process on bulk-silicon (Si) substrates for the first time. In combination with the structure advantage of conventional Si nanowires, the proposed S-FinFETs provide better electrostatic integrity in the channels than normal bulk-Si FinFETs or tri-gate dev...

Cantilevers fabricated by means of micromachining techniques are usually used for atomic force microscopy. In this paper, the spring constant of an atomic force microscope (AFM) cantilever is determined by using a large-scale cantilever. Since the spring constant of the large-scale cantilever is calibrated accurately, the spring constant of the AFM cantilever is determined precisely by measurin...