Some Remarks on the Variation of Curve Length and Surface Area
نویسندگان
چکیده
Consider the curve C = {(t, f(t): 0 < t < 1}, where f is absolutely continuous on [0, 1]. Then C has finite length, and if Ue is the &neighborhood of f in the uniform norm, we compare the length of the shortest path in UE with the length of f. Our main result establishes necessary and sufficient conditions on f such that the difference of these quantities is of order e as e -* 0. We also include a result for surfaces.
منابع مشابه
Some Remarks on Generalized Sequence Space of Bounded Variation of Sequences of Fuzzy Numbers
The idea of difference sequences of real (or complex) numbers was introducedby Ki zmaz cite{Kizmaz}. In this paper, using the difference operator and alacunary sequence, we introduce and examine the class of sequence $bv_{theta}left( Delta,mathcal{F}right) .$ We study some of its properties likesolidity, symmetricity, etc.
متن کاملGenetic variability and relationship of pod and seed traits in Pongamia Pinnata (L.) Pierre., a potential agroforestry tree
Screening of twenty-four candidate plus trees from naturally available Pongamia pinnata genetic resources was carried out to elucidate the genetic variation and relationship of pod and seed traits on germination capacity to select the best planting material for higher productivity. The experiment conducted at Forest Research Centre, Institute of Forest Productivity Mandar, Ranchi during 2005-20...
متن کاملEffect of variation of specifications of quantum well and contact length on performance of InP-based Vertical Cavity Surface Emitting Laser (VCSEL)
Abstract: In this study, the effects of variation of thickness and the number of quantumwells as well as the contact length were investigated. In this paper, a vertical cavity surfaceemitting laser was simulated using of software based on finite element method. Thenumber of quantum wells was changed from 3 to 9 and the results which are related tooutput power, resonance ...
متن کاملConstruction of a surface pencil with a common special surface curve
In this study, we introduce a new type of surface curves called $D$-type curve. This curve is defined by the property that the unit Darboux vector $vec{W}_{0} $ of a surface curve $vec{r}(s)$ and unit surface normal $vec{n} $ along the curve $vec{r}(s)$ satisfy the condition $leftlangle vec{n} ,vec{W}_{0} rightrangle =text{constant}$. We point out that a $D$-type curve is a geodesic curve or an...
متن کاملThermodynamic simulation and pinch analysis of KCS11
In this study, a reputable Kalina cycle system, KCS 11, is simulated and analysed. Within this efficient cycle, there are three heat exchangers: the first heat exchanger is designated for heat absorption from the heat source, the second heat exchanger is designed for heat release to the cold source, and the third heat exchanger is designed for energy recovery. In order to achieve precise si...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008