Results 11 to 20 of about 71,240 (263)
The Cayley Cubic and Differential Equations [PDF]
The Journal of Geometric Analysis, 2020 We define Cayley structures as a field of Cayley's ruled cubic surfaces over a four dimensional manifold and motivate their study by showing their similarity to indefinite conformal structures and their link to differential equations. In particular, for Cayley structures an extension of certain notions defined for indefinite conformal structures in ...
Wojciech Kryński, Omid Makhmali
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The cubic vortical Whitham equation [PDF]
Wave Motion, 2022 The cubic-vortical Whitham equation is a model for wave motion on a vertically sheared current of constant vorticity in a shallow inviscid fluid. It generalizes the classical Whitham equation by allowing constant vorticity and by adding a cubic nonlinear term.
Carter, John +3 more
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A Complete Review of the General Quartic Equation with Real Coefficients and Multiple Roots
Mathematics, 2022 This paper presents a general analysis of all the quartic equations with real coefficients and multiple roots; this analysis revealed some unknown formulae to solve each kind of these equations and some precisions about the relation between these ones ...
Mauricio Chávez-Pichardo +4 more
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Stabilities of Cubic Mappings in Fuzzy Normed Spaces
Advances in Difference Equations, 2010 Rassias(2001) introduced the pioneering cubic functional equation in the history of mathematical analysis: and solved the pertinent famous Ulam stability problem for this inspiring equation.
Ghaffari Ali, Alinejad Ahmad
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A modelling approach to the choice of the equations of state of analogues of three serie [PDF]
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2018 Within the framework of a simple molecular thermodynamic model, the problems of comparing the equations of state and the choice of analogues in three sets are analyzed: equations based on the model of interacting point centers, van der Waals type ...
G.G. Petrik
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Mathematics, 2023 In order to propose a deeper analysis of the general quartic equation with real coefficients, the analytical solutions for all cubic and quartic equations were reviewed here; then, it was found that there can only be one form of the resolvent cubic that ...
Mauricio Chávez-Pichardo +4 more
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Undergraduate Journal of Mathematical Modeling: One + Two, 2020 The objective of this project is to minimize the cost of building a handicap ramp. This is done by introducing an equation that represents the total cost of the construction, including labor and materials.
Tyler Schilling
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Diagonal cubic equations. II [PDF]
Acta Arithmetica, 1989 [For part II, Acta Arith (to appear) see the preceding review.] Given positive integers \(\lambda _ 1,...,\lambda _ s\) with \(s=8\) or 9 it is known that the equation \(\lambda _ 1x\quad 3_ 1+...+\lambda _ sx\quad 3_ s=0\) is soluble in integers with \[ 0\quad
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A generalized computation procedure for Ramanujan-type identities and cubic Shevelev sum [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 A generalized Computation procedure for construction of the Ramanujan-type from a given general cubic equation and a cosine Ramanujan-type identity is developed from detailed analyses of the properties of Ramanujan-type cubic equations.
Peter J.-S. Shiue +3 more
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Generating functions for a lattice path model introduced by Deutsch
Special Matrices, 2021 The lattice path model suggested by E. Deutsch is derived from ordinary Dyck paths, but with additional down-steps of size −3, −5, −7, . . . . For such paths, we find the generating functions of them, according to length, ending at level i, both, when ...
Prodinger Helmut
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