Results 231 to 240 of about 143,342 (266)
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Mathematical Proceedings of the Cambridge Philosophical Society, 1980
The classification of affine cubic functions in the real case is a fairly easy corollary of that in the complex case (9). However as the results can be easily interpreted by diagrams, one can obtain a much richer understanding. For example, the question of which types of cubic curve occur as level curves of which types of function is now much less ...
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The classification of affine cubic functions in the real case is a fairly easy corollary of that in the complex case (9). However as the results can be easily interpreted by diagrams, one can obtain a much richer understanding. For example, the question of which types of cubic curve occur as level curves of which types of function is now much less ...
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Biomechanical Analysis with Cubic Spline Functions
Research Quarterly. American Alliance for Health, Physical Education and Recreation, 1977Abstract The purpose of this study was to determine if the cubic spline could provide accurate smoothed estimates of displacement-time functions and corresponding time derivatives for typical biomechanical data obtained from cinematographical records. Various experiments were conducted to ascertain a procedure for determining the error associated with ...
T M, McLaughlin +2 more
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Cubic Boolean Functions With Highest Resiliency
IEEE Transactions on Information Theory, 2004We classify those cubic m-variable Boolean functions which are (m $4)-resilient. Our main result is that there are four types of such functions, depending on the structure of the support of their Walsh spectra.
C. Carlet, P. Charpin
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Cubic response functions in time-dependent density functional theory
The Journal of Chemical Physics, 2005We present density-functional theory for time-dependent response functions up to and including cubic response. The working expressions are derived from an explicit exponential parametrization of the density operator and the Ehrenfest principle, alternatively, the quasienergy ansatz.
Branislav, Jansik +4 more
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Cubic symplectic theta-functions
Journal of Soviet Mathematics, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Special Cubic Solution Function
Journal of Guidance and Control, 1981Conclusions The main unknowns before testing were the usability of the Mead-Fairfield model at radii lower than its design regime and how much momentum could actually be dumped by onorbit satellites using the magnetic control technique. It was found that the magnetic momentum dump algorithm works well with on-orbit GPS satellites using the Mead ...
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Lattice Green’s functions for cubic lattices
Journal of Mathematical Physics, 1980The Green’s functions for a cubic lattice given by G(E)=1/π3 ∫0π∫0π∫0π (dx dydz)/[E−ω (x,y,z)], where (i) ω(x,y,z)=(a1cosx+a2cosy)(1+cosz)+a3cosz, (ii) ω(x,y,z)=a1cosx(1+cosy+cosz+cosycosz) +a2cosy+a3cosz+a23cosycosz are evaluated exactly and expressed as products of two 2F1’s each of which represents a complete elliptic integral of the first kind ...
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Functionalized cubic mesostructured silica films
Materials Science and Engineering: C, 2003Cubic Pm3n mesoporous silica films have been prepared on silicon wafers and quartz crystal microbalance (QCM) devices covered with gold electrodes by a spin-coating process from preformed silica/CTABr/ethanol/water assemblies under acidic conditions. Post-synthesis functionalization of mesoporous films with amino- and thiol-containing organosilanes is ...
N. Petkov +4 more
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DIFFERENTIAL EQUATIONS FOR CUBIC THETA FUNCTIONS
International Journal of Number Theory, 2011We show that the cubic theta functions satisfy two distinct coupled systems of nonlinear differential equations. The resulting relations are analogous to Ramanujan's differential equations for Eisenstein series on the full modular group. We deduce the cubic analogs presented here from trigonometric series identities arising in Ramanujan's original ...
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Grüneisen Function for Cubic Crystals
Journal of the Physical Society of Japan, 1982A general expression for the Gruneisen function has been developed for ionic crystals employing the ion-ion interaction theory. The developed expression has been utilized to evaluate the values in the frame work of Born-Mayer potential energy function. It has been found that the calculated values of γ are in satisfactory agreement with the experimental
Rita Srivastava +2 more
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