H. Vincent of Westland Helicopters demonstrated that if a structure is excited harmonically at a fixed frequency, the response at another position will trace a circle in the complex plane as a result of a stiffness modification between two points. This can ...
Some new methods for the estimates of the modulus of some integrals of the unit circle in the complex plane Journal of Analysis & ApplicationsStoyanov, T. S.
This paper shows that the inverse chirp z-transform (ICZT), which generalizes the inverse fast Fourier transform (IFFT) off the unit circle in the complex plane, can also be used with chirp contours that perform partial or multiple revolutions on the unit circle. This is done as a special...
We announce numerous new results in the theory of orthogonal polynomials on the unit circle, most of which involve the connection between a measure on the unit circle in the complex plane and the coefficients in the recursion relations for the polynomials known as Verblunsky coefficients. Included...
The Yang-Lee circle theorem is extended to an ideal pseudospin-1/2 Bose gas in an external magnetic field. It is found that the zeros of the canonical partition function are located on the unit circle in the complex activity plane if the temperature is above the critical temperature of ideal...
As the map has a cubic inflection, each mode-locking interval extends in the complex plane into a “hearts” set of fig. 2.1. By crossing from the central component into one of the hearts, one drives the mapping through a period n-tupling without changing its winding number (for example,...
In an earlier paper we gave a result relating the value of an exponential sum with the distribution of summands in the arcs of the unit circle in the complex plane. In a marginal case, this result is superseded by a result of Lev. In this addendum we use an idea of Lev to give a...
ain that region of the complex plane in which the right-hand side of (25) converges. For two jointly stationary series this occurs in an annulus containing the unit circle. In this case, the cross-spectral density function is defined as 在右边的25聚合复平面的那个区域 () 。 为二个固定式...
discovered that when a structure excited at point p with a constant frequency is modified, for example by the addition of a spring between two points r and , then the response at another point q traces a circle when plotted in the complex plane as the spring stiffness is varied from minus...
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