When λ is purely imaginary, Kλt(F) is the analytic operator-valued Feynman integral of F.
Compared with typical fantasy-baseball leagues, in which a virtual team's success in the standings depends on its major league players' real-world performance, the C.B.A. (www.cosmicbaseball.com) is purely imaginary.
The writer begins with the arbitrary, the accidental, the insignificant (the area railings outside a house on Eccles Street, say), and he transmutes them into an object that has intention, design, and significance (Odysseus, when he at last returns to Ithaca, must enter his own house by a stratagem) but that is purely imaginary.
Now, in doing this, although we could, in fact, begin with our attention focused on, in general, complex exponentials, what we'll choose to do is first focus on the case in which the exponent in the continuous-time case is purely imaginary, as I indicate here, and in the discrete-time case, where the magnitude of the complex number z_k is equal to 1.
Instead, it corresponds to a ''standing wave" which is created by equal and opposite power flow, or an ''evanescent wave" (§C.8.2), which is a non-propagating, exponentially decaying, limiting form of a traveling wave in which the ''propagation constant" is purely imaginary due to being at a frequency above or below a ''cut off" frequency for the waveguide [298,122].
It is further shown here that the drive admittance of the finite heavily fluid-loaded line driven plate is purely imaginary (implying structural energy conservation), and that for particular choices of the plate length the admittance may be infinite (resonance), zero (antiresonance), or the same as the imaginary part of the admittance of the infinite plate (transparency).
One is the fact that the Fourier series coefficients for this example are purely imaginary.
Many of her landscapes are composites of real places, but others are purely imaginary.
The historical resonances that we think we hear echoing from the masonry may be purely imaginary, but they are strong enough so that they become quasi-physical sensations.
In these takes, the metaphorical notion of the public image and the self-image (two kinds of images that are purely imaginary) take form in the onscreen image.
When ε is specified to be purely imaginary, then an algebraic eigenvalue problem governing the edge vibrations (end modes) of a semi-infinite cylinder is obtained.
