1.(Mathematics) a mathematical statement that two expressions are equal: it is either anidentityin which the variables can assume any value, or aconditional equationin which the variables have only certain values (roots) 2.the act of regarding as equal; equating ...
(redirected from equations of the first order)Also found in: Thesaurus, Medical, Financial, Encyclopedia. e·qua·tion (ĭ-kwā′zhən, -shən) n. 1. The act or process of equating or of being equated. 2. The state of being equal. 3. Mathematics A statement asserting the ...
For h sufficiently small, the surface of smallest area spanning C1 and C2 is a catenoid formed by revolving a catenary about the line r = 0. Its equation is r = k1 cosh[(z –k2)/k1], where the constants k1 and k2 are so chosen that the catenoid bounds C1 and C2. Actually, ...
Our “minimum"-area surface is a special case of a catenary of revolution, or a catenoid.Soap Film: Minimum Area This calculus of variations contains many pitfalls for the unwary. Remember, the Euler equation is a necessary condition, and assumes a differentiable solution. The sufficiency ...
英文: Under the guide of the theory of minimum energy of the system, catenary equation specifying the facial size of the circumgyrating object is the minimum in static state is involved as the form of the research about transforming grain boundary.中文: 基于系统能量最小原理,本文选择静态条件下...
Parametric study of catenary mooring system on the dynamic response of the semi-submersible platform Three-dimensional radiation/diffraction theoryIn this work, frequency and time responses analysis of the Amirkabir semi-submersible platform were obtained under ... H Ghafari,M Dardel - 《Ocean Engineer...
Ocean physics describes the way the ocean surface layer interacts with the atmosphere and extends to the transmission of energy from ocean waves and tides to the seafloor. Hence, for the first time, this article explores the analytical study of a generalized geophysical Korteweg-de Vries equation ...
opposed to rectangular coordinates. Many of these curves have well-known general equations and special names. For example, a graph that looks like the infinity symbol∞where the intersection is at the origin is called a lemniscate. Other special curves include the cycloid, cardioid and c...
Difference frequency forces fall in the same range of low frequencies where one would usually find the certain mode natural frequencies for catenary-moored structures. Sum-frequency forces are found at higher frequencies than first order wave forces and could coincide with natural frequencies of ...
Reverse catenary equation of the embedded installation line and application to the kinematic model for drag anchors. Appl Ocean Res 2013;43:80-7.LIU H X, LIU C L, ZHAO Y B, et al. Reverse catenary equation of the embedded installation line and application to the kinematic model for drag ...