How a Digital Computer can tell That a Straight Line is Straight.

1981 ◽  
Author(s):  
Azriel Rosenfeld ◽  
Chul E. Kim
Keyword(s):  
Digital Computer ◽  
Straight Line

Computerized Synthesis of Straight-Line Four-Bar Linkages From Inflection Circle Properties

1977 ◽  
Vol 99 (3) ◽  
pp. 610-614
Author(s):  
J. M. Simo´n
Keyword(s):  
Digital Computer ◽  
Selection Method ◽  
Interest Points ◽  
Straight Line ◽  
Four Bar Linkage

The instantaneous property of the inflection circle corresponding to a four-bar linkage is used in the present paper to obtain points of the coupler with significant straight-line paths. These points are the interest points (IP) of the coupler, the existence and properties of which are demonstrated here using a digital computer to solve the developed equations that define the IP’s. This led us to propose a computerized trial and selection method of synthesizing straight-line four-bar linkages with new steps—the determination of IP’s and their paths—which will, we hope, shorten considerably the time it used to take to obtain the desired results of a particular problem.

Mixed Exact-Approximate Planar Mechanism Position Synthesis

1977 ◽  
Vol 99 (2) ◽  
pp. 434-439 ◽  
Author(s):  
G. H. Sutherland
Keyword(s):  
Rigid Body ◽  
Digital Computer ◽  
Algebraic Solution ◽  
Numerical Examples ◽  
Planar Mechanism ◽  
Straight Line ◽  
Position Synthesis ◽  
Scientific Calculator ◽  
Exact Positions ◽  
Solution Techniques

Design equations are developed for rigid body guidance through K equals one, two, three, and four exact positions and N – K approximate positions. Both circle and straight-line points are considered. Algebraic solution techniques for use with a pocket scientific calculator and a digital computer are illustrated using numerical examples.

Microdensitometer—computer correlation analysis of ultrastructural periodicity

1978 ◽  
Vol 36 (2) ◽  
pp. 32-33
Author(s):  
D.R. Ensor ◽  
C.G. Jensen ◽  
J.A. Fillery ◽  
R.J.K. Baker
Keyword(s):  
Correlation Analysis ◽  
Background Noise ◽  
Computer Control ◽  
Optical Diffraction ◽  
Screw Thread ◽  
Straight Line ◽  
Computer Storage ◽  
Correlation Process ◽  
Electron Microscope Image ◽  
Fixed Beam

Because periodicity is a major indicator of structural organisation numerous methods have been devised to demonstrate periodicity masked by background “noise” in the electron microscope image (e.g. photographic image reinforcement, Markham et al, 1964; optical diffraction techniques, Horne, 1977; McIntosh,1974). Computer correlation analysis of a densitometer tracing provides another means of minimising "noise". The correlation process uncovers periodic information by cancelling random elements. The technique is easily executed, the results are readily interpreted and the computer removes tedium, lends accuracy and assists in impartiality.A scanning densitometer was adapted to allow computer control of the scan and to give direct computer storage of the data. A photographic transparency of the image to be scanned is mounted on a stage coupled directly to an accurate screw thread driven by a stepping motor. The stage is moved so that the fixed beam of the densitometer (which is directed normal to the transparency) traces a straight line along the structure of interest in the image.

Freeze fracture imaging and computer simulation of liposome structure: Membrane geometry and defects

1983 ◽  
Vol 41 ◽  
pp. 646-647
Author(s):  
Joseph A. Zasadzinski
Keyword(s):  
Liquid Crystalline ◽  
Freeze Fracture ◽  
Continuum Theory ◽  
Closed Surfaces ◽  
Straight Line ◽  
Low Weight ◽  
Concentric Spheres ◽  
Membrane Geometry ◽  
Dupin Cyclides ◽  
Limiting Case

At low weight fractions, many surfactant and biological amphiphiles form dispersions of lamellar liquid crystalline liposomes in water. Amphiphile molecules tend to align themselves in parallel bilayers which are free to bend. Bilayers must form closed surfaces to separate hydrophobic and hydrophilic domains completely. Continuum theory of liquid crystals requires that the constant spacing of bilayer surfaces be maintained except at singularities of no more than line extent. Maxwell demonstrated that only two types of closed surfaces can satisfy this constraint: concentric spheres and Dupin cyclides. Dupin cyclides (Figure 1) are parallel closed surfaces which have a conjugate ellipse (r1) and hyperbola (r2) as singularities in the bilayer spacing. Any straight line drawn from a point on the ellipse to a point on the hyperbola is normal to every surface it intersects (broken lines in Figure 1). A simple example, and limiting case, is a family of concentric tori (Figure 1b).To distinguish between the allowable arrangements, freeze fracture TEM micrographs of representative biological (L-α phosphotidylcholine: L-α PC) and surfactant (sodium heptylnonyl benzenesulfonate: SHBS)liposomes are compared to mathematically derived sections of Dupin cyclides and concentric spheres.

Human Enamel Replication

1976 ◽  
Vol 34 ◽  
pp. 180-181
Author(s):  
Norman L. Dockum ◽  
John G. Dockum
Keyword(s):  
Organic Matrix ◽  
Human Teeth ◽  
Human Enamel ◽  
Straight Line ◽  
Ultrastructural Characteristics

Ultrastructural characteristics of fractured human enamel and acid-etched enamel were compared using acetate replicas shadowed with platinum and palladium. Shadowed replications of acid-etched surfaces were also obtained by the same method.Enamel from human teeth has a rod structure within which there are crystals of hydroxyapatite contained within a structureless organic matrix composed of keratin. The rods which run at right angles from the dentino-enamel junction are considered to run in a straight line perpendicular to the perimeter of the enamel, however, in many areas these enamel rods overlap, interlacing and intertwining with one another.

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