For circular fibers in a closely packed hexagonal array, the packing efficiency is given by: Af where Af, and 0.906 is the ratio of the area of a circle to that of the circumscribed hexagon.

For the rest of the two spacecrafts ' pass over the near side of the Moon, Mattingly prepared to shift Casper to a circular orbit while Young and Duke prepared Orion for the descent to the lunar surface.

For a spinning object, internal tensile stress provides the centripetal forces that make the parts of the object trace out circular motions.

For trajectories other than circular motion, for example, the more general trajectory envisioned in the image above, the instantaneous center of rotation and radius of curvature of the trajectory are related only indirectly to the coordinate system defined by u < sub > ρ </ sub > and u < sub > θ </ sub > and to the length | r ( t )|

For example, he argues for continental asymmetry as opposed to the older theory of a perfectly circular earth with Europe and Asia / Africa equal in size ( Hist.

For large or complex patterns, it is sometimes difficult to keep track of which stitch should be knit in a particular way ; therefore, several tools have been developed to identify the number of a particular row or stitch, including circular stitch markers, hanging markers, extra yarn and row counters.

For instance, the flow around a circular cylinder generates a Kármán vortex street: vortices being shed in an alternating fashion from each side of the cylinder.

For example, bacterial chromosomes, plasmids, mitochondrial DNA and chloroplast DNA are usually circular double-stranded DNA molecules, while chromosomes of the eukaryotic nucleus are usually linear double-stranded DNA molecules.

For any specific combination of height above the center of gravity and mass of the planet, there is one specific firing velocity ( unaffected by the mass of the ball, which is assumed to be very small relative to the Earth's mass ) that produces a circular orbit, as shown in ( C ).

For the 2009 season the Phillies added black, circular " HK " patches to their uniforms over their hearts in honor of broadcaster Harry Kalas, who died April 13, 2009, just before he was to broadcast a Phillies game.

For morphological data, unfortunately, the only objective way to determine convergence is by the construction of a tree – a somewhat circular method.

For example, a single electron in an unexcited atom is pictured classically as a particle moving in a circular trajectory around the atomic nucleus, whereas in quantum mechanics it is described by a static, spherically symmetric wavefunction surrounding the nucleus ( Fig.

For example, circular polarization is used to minimize the interference caused by rain.

For nearly a century, the electrical construction industry used the abbreviation " MCM " to designate a " thousand circular mils " in specifying thicknesses of large electrical cables.

For example, targets that formerly resembled humans or animals in their shape and size have are now a circular shape in order to avoid associating the sport with any form of violence.

For all that, we do know what a square circle would be: a shape that is both square and circular.

For a circular aperture, the diffraction-limited image spot is known as an Airy disk ; the distance x in the single-slit diffraction formula is replaced by radial distance r and the sine is replaced by 2J < sub > 1 </ sub >, where J < sub > 1 </ sub > is a first order Bessel function.

For rugged objects, much higher accelerations may suffice, allowing a far shorter track, potentially circular or helical ( spiral ).

For a better appreciation of the nature of circularly polarized light one may find it useful to read how circularly polarized light is converted to and from linearly polarized light in the circular polarizer article.

This can be accomplished by adjusting the physical dimensions of the patch ... For a square patch element, the easiest way to excite ideally circular polarization is to feed the element at two adjacent edges ...

For EPROMs, which can be erased by UV light, some DIPs, generally ceramic CERDIPs, were manufactured with a circular window of clear quartz in the center of the top of the package, over the chip die.

For any waveguide in the form of a hollow metal tube, ( such as rectangular guide, circular guide, or double-ridge guide ), the wave impedance of a travelling wave is dependent on the frequency, but is the same throughout the guide.

For a particular angle one must solve the line integral for the ray with origin at the intersection point of the line P < sub > 0 </ sub > P < sub > 1 </ sub > with the circular object plane.

For example, it is easy to tell a cut made by a bandsaw from that of a circular saw.

For Lamprias had said that the first articulate sound made is " alpha ", because it is very plain and simple — the air coming off the mouth does not require any motion of the tongue — and therefore this is the first sound that children make.

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.

For his contribution to the motion picture industry, Lancaster has a star on the Hollywood Walk of Fame at 6801 Hollywood Boulevard.

For contingent reasons having to do with the Inquisition, Descartes spoke of motion as both absolute and relative.

For the mathematical formulation of the model, is also assumed to be twice continuously differentiable, so that differential equations describing the motion may be formulated.

For example, a digital video ( using a DV codec ) of a sports event needs to encode motion well but not necessarily exact colors, while a video of an art exhibit needs to encode color and surface texture well.

For counterclockwise motion at variable speed v ( t ):

For his contribution to the motion picture industry, Jones has a star on the Hollywood Walk of Fame at 7011 Hollywood Blvd.

For these, asha was the course of everything observable, the motion of the planets and astral bodies, the progression of the seasons, the pattern of daily nomadic herdsman life, governed by regular metronomic events such as sunrise and sunset.

For example, every polygon is topologically self-dual ( it has the same number of vertices as edges, and these are switched by duality ), but will not in general be geometrically self-dual ( up to rigid motion, for instance ) – regular polygons are geometrically self-dual ( all angles are congruent, as are all edges, so under duality these congruences swap ), but irregular polygons may not be geometrically self-dual.

For other initial conditions, the equation of motion is given by the exponential of a matrix: for an initial point x < sub > 0 </ sub >,

For her contribution to the motion picture industry, Wray was honored with a star on the Hollywood Walk of Fame at 6349 Hollywood Blvd.

For a single degree of freedom oscillator, a system in which the motion can be described by a single coordinate, the natural frequency depends on two system properties: mass and stiffness ; ( providing the system is undamped ).

For example, in the UK ( and in other Commonwealth countries ), to " table " a motion means to place it on the agenda ( to bring it to the table for consideration ), while in the US it means exactly the opposite —" to remove it from consideration " ( to lay it aside on the table rather than hold it up for consideration ).

Selznick sold half of Kelly's contract to MGM and loaned him out to MGM for his first motion picture: For Me and My Gal ( 1942 ) with Judy Garland.

For his contribution to the motion picture industry, Howard Hawks has a star on the Hollywood Walk of Fame at 1708 Vine Street.

For his contribution to the motion picture industry, Johnny Weissmuller has a star on the Hollywood Walk of Fame at 6541 Hollywood Boulevard in Hollywood.

For example, there are explanations based directly on Newton ’ s laws of motion and explanations based on Bernoulli ’ s principle.

For, as Einstein himself pointed out, no " substance " and no state of motion can be attributed to that new aether.

For a continuous charge distribution in motion, the Lorentz force equation becomes:

For his contribution to the motion picture industry Sennett was given a star on the Hollywood Walk of Fame at 6712 Hollywood Blvd.

For everyday phenomena, however, Newton ’ s three laws of motion remain the cornerstone of dynamics, which is the study of what causes motion.

For instance, the motion of a spacecraft, regarding its orbit and attitude ( rotation ), is described by the relativistic theory of classical mechanics, while the analogous movements of an atomic nucleus are described by quantum mechanics.