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*BRIEF* *NOTES*

"... Electron microscopic observations of flagella and cilia have indicated a constancy in the number of peripheral and axial fibrils seen in cross-sections (1-3) and a variability in the structure and form of the basal bodies and accessory structures in different organisms (4-8, 17). During recent elect ..."

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Electron microscopic observations of flagella and cilia have indicated a constancy in the number of peripheral and axial fibrils seen in cross-sections (1-3) and a variability in the structure and form of the basal bodies and accessory structures in different organisms (4-8, 17). During recent electron microscope studies of plastids in colorless flagellates (9), observations were made of an additional structural component in cross-sections of the flagellar bases of Polytoma obtusum and P. uvella (10). Bacteria-free cultures of P. obtusum (L791) and P. uvella (L19) from the Culture Collection of Algae at Indiana University (11) were grown in flasks containing 125 ml of Polytomella medium (12) at 20 4- 1 °C. Harvesting by low speed centrifugation

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*BRIEF* *NOTES*

"... A characteristic type of vesicle limited by a membrane revealing a prominent dark-light-dark unit membrane pattern has been described as being a ..."

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A characteristic type of vesicle limited by a membrane revealing a prominent dark-light-dark unit membrane pattern has been described as being a

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*BRIEF* *NOTES*

"... In 1876 Key and Retzius (2) demonstrated what appeared to be a cellular sheath made up of endothelial-like cells associated with nerve trunks. Studies made in our laboratory on several ..."

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In 1876 Key and Retzius (2) demonstrated what appeared to be a cellular sheath made up of endothelial-like cells associated with nerve trunks. Studies made in our laboratory on several

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*BRIEF* *NOTES*

"... Des travaux r~cents ont permis de sugg~rer que le syst~me tubulaire transverse de la fibre squelettique rapide de la grenouille pourrait ~trc le si~ge de propri~t~s ~lectrophysiologiques particuli~res ..."

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Des travaux r~cents ont permis de sugg~rer que le syst~me tubulaire transverse de la fibre squelettique rapide de la grenouille pourrait ~trc le si~ge de propri~t~s ~lectrophysiologiques particuli~res

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*BRIEF* *NOTES*

"... leads to a loss of spatial correlation as well. Thus, our con-jectures are confirmed for this example. A final remark concerning the higher modes that were not retained in the numerical analysis may be made. In the nu-merical analysis, one only need retain those terms of 0(1) in amplitude, i.e., tho ..."

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leads to a loss of spatial correlation as well. Thus, our con-jectures are confirmed for this example. A final remark concerning the higher modes that were not retained in the numerical analysis may be made. In the nu-merical analysis, one only need retain those terms of 0(1) in amplitude, i.e., those physical modal amplitudes that are of the order of the plate thickness. Once the time histories and power spectra of these order-one modes are determined, the response in the higher modes, whose amplitudes by definition are in the linear response range, may be determined by standard linear vibration theory where now the higher linear modes are driven by the numerically determined lower nonlinear, chaotic modes. Further, over a given bandwidth of frequency in which many linear mode resonances lie, the classical, linear random vibration theory result may be well approximated by asymp-

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*BRIEF* *NOTES*

"... leads to a loss of spatial correlation as well. Thus, our con-jectures are confirmed for this example. A final remark concerning the higher modes that were not retained in the numerical analysis may be made. In the nu-merical analysis, one only need retain those terms of 0(1) in amplitude, i.e., tho ..."

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leads to a loss of spatial correlation as well. Thus, our con-jectures are confirmed for this example. A final remark concerning the higher modes that were not retained in the numerical analysis may be made. In the nu-merical analysis, one only need retain those terms of 0(1) in amplitude, i.e., those physical modal amplitudes that are of the order of the plate thickness. Once the time histories and power spectra of these order-one modes are determined, the response in the higher modes, whose amplitudes by definition are in the linear response range, may be determined by standard linear vibration theory where now the higher linear modes are driven by the numerically determined lower nonlinear, chaotic modes. Further, over a given bandwidth of frequency in which many linear mode resonances lie, the classical, linear random vibration theory result may be well approximated by asymp-

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*BRIEF* *NOTES*

"... by virtue of the celebrated "isoperimetric inequality " (which states that the area enclosed by a planar, simple, closed curve of fixed length, is a maximum when the perimeter is a circle). If z ' & 0, then the projected curve xi + yj, 0 < f < 2ir, is closed, but need not b ..."

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by virtue of the celebrated "isoperimetric inequality " (which states that the area enclosed by a planar, simple, closed curve of fixed length, is a maximum when the perimeter is a circle). If z ' & 0, then the projected curve xi + yj, 0 < f < 2ir, is closed, but need not be simple, and its length is less than L. Consequently, the isoperimetric inequality is not directly applicable. Nonetheless, we can establish (14) in a manner similar to Hurwicz's proof of the isoperimetric inequality (cf. Courant and Hilbert (1953)). In view of equations (5) and (13), it follows that 0 l(.x')2+(y')2+(z')2-xy'+x'y]dt. (15) Under the conditions imposed upon p (cf., Section 2), we have the Fourier series representations

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*BRIEF* *NOTES*

"... by virtue of the celebrated "isoperimetric inequality " (which states that the area enclosed by a planar, simple, closed curve of fixed length, is a maximum when the perimeter is a circle). If z ' & 0, then the projected curve xi + yj, 0 < f < 2ir, is closed, but need not b ..."

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by virtue of the celebrated "isoperimetric inequality " (which states that the area enclosed by a planar, simple, closed curve of fixed length, is a maximum when the perimeter is a circle). If z ' & 0, then the projected curve xi + yj, 0 < f < 2ir, is closed, but need not be simple, and its length is less than L. Consequently, the isoperimetric inequality is not directly applicable. Nonetheless, we can establish (14) in a manner similar to Hurwicz's proof of the isoperimetric inequality (cf. Courant and Hilbert (1953)). In view of equations (5) and (13), it follows that 0 l(.x')2+(y')2+(z')2-xy'+x'y]dt. (15) Under the conditions imposed upon p (cf., Section 2), we have the Fourier series representations

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*BRIEF* *NOTES*

"... powder gun launched the 0.078-kg rods shown in Fig. 3 to in-cident velocities between 210-700 m/s. The rods were encased in two-piece, serrated, plastic sabots. Pusher plates were 15.7-mm-dia., 6.35-mm-long, titanium discs, and the ob-turator was made from the same material as the sabot. The sabot f ..."

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powder gun launched the 0.078-kg rods shown in Fig. 3 to in-cident velocities between 210-700 m/s. The rods were encased in two-piece, serrated, plastic sabots. Pusher plates were 15.7-mm-dia., 6.35-mm-long, titanium discs, and the ob-turator was made from the same material as the sabot. The sabot fit snugly in the gun barrel, while the slightly oversized obturator was forced into the barrel so as to provide a gas seal. Centrifugal force and air drag stripped the sabot, pusher plate, and obturator from the rod prior to impact. Incident velocity was determined within one-percent ac-curacy by the penetrator interrupting two continuously monitored laser beams, and incident yaw was measured with an orthogonal pair of flash x-rays. Two pairs of orthogonal, flash x-rays determined residual velocity within two-percent accuracy. Incident yaw angles were less than one degree, and