December 2000 - 8 articles
In this paper, first we will define the generalized (k + 1) -dimensional semi-ruled surface M*, such that the generator space of M* is the semi-subspace of E v n + 1 where E v n + 1 is the semi-Euclidean space. Then, we will compute the m...
If we choose a natural companion basis for \((k+1)\)-dimensional semi-ruled surfaces in semi-Euclidean space \(E_{\nu}^{n+1}\), then the metric coefficients are \(g_{ij} = \epsilon_{i}\delta_{ij}\), \(1\leq i\), \(j \leq k\). In this paper we show th...
Nonlinear vibrations and stability analysis of an axially moving Euler-Bernoulli type beam are investigated. The beam is on fixed supports and moving with a harmonically varying velocity about a constant mean value. The method of multiple scales is u...
A procedure for estimating uncertainty in the hydraulic efficiency of cryogenic turbines is presented. A case study is performed based on the test data from a cryogenic turbine testing facility. The effects of uncertainties in the measurements of tem...
Two different approximate symmetry methods and a proposed new one are contrasted using a wave equation with quadratic non-linearity. For each method, the approximate symmetries are calculated first. Then approximate solutions corresponding to some of...
The dual hyperbolic unit sphere \(H_{0}^{2}\) is the set of all dual time-like units vectors in the dual Lorentzian space \(D_{1}^{3}\) with signature (+,+,-). In this paper, we give the cosine hyperbolic and sine hyperbolic-rules for a dual dual hyp...
The aim of this paper is to define the principle fibre bundle and connections and point out the minimizing geodesics of the taxicab geometry.
In this paper, we will define the iso-taxicab trigonmetric functions \(\cos_{I}\theta\), \(\sin_{I}\theta\), \(\tan_{I}\) and \(\cot_{I}\theta\). Then, we will give the subtraction formulas for iso-taxicab trigonometric functions \(\cos_{I}\theta\) a...
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