Heart-shaped curve

The main problem in the design of wire coating dies is to provide the same velocity at each point of the circumference at the die exit. Several widely used ways include the heart-shaped curve (see Fig. 7.40) and the circular coathanger designs. The heart-shaped curve is shown in Figure 7.41. The melt stream from the extruder is divided up into two separate melt streams by the bezel, which mns parallel to the axis... 

I closed my eyes for a moment and there, fully formed beneath my eyelids, was the first of what I considered to be teachings or messages. It was a beautiful, recursive geometric form with four "petals." The voice in my mind informed me that this was "the valentine curve." Obviously the four petals of the curve looked somewhat like a valentine or a bleeding heart. I thought for an instant of the heart-shaped fruit I had fashioned into a water pipe. No obvious connection... the image slid. I got my notebook and drew the valentine curve, at first crudely, later much more smoothly. It made me think of Basil... 

The curve may be C-shaped or S-shaped. An S-shaped curve, a double curve with a convexity changing from one direction to another, is generally less deforming because the individual appears to be standing up straight. With the double curve, the lumbar spine is often involved as well. The C-shaped eurve ean cause a more misshapen appearance. In severe cases of thoracic scoliosis, the heart and lungs may become compromised. 

Although the responses depicted in curves A, B, and C of Figure 2-15 approximate the shape of a simple Michaelis-Menten relation (transformed to a logarithmic plot), some clinical responses do not. Extremely steep dose-response curves (eg, curve D) may have important clinical consequences if the upper portion of the curve represents an undesirable extent of response (eg, coma caused by a sedative-hypnotic). Steep dose-response curves in patients can result from cooperative interactions of several different actions of a drug (eg, effects on brain, heart, and peripheral vessels, all contributing to lowering of blood pressure). 

Figure 17 shows cyclic voltammetric i-i curves for 1 and 25 pM horse heart cytochrome c in 50 mM NaCl -l- Tris HCl buffer, pH 7.2, at a boron-doped diamond thin film deposited on quartz. No faradaic response can be seen above the background for the 1 pM concentration but a well-defined, peaks-shaped response is seen for the 25 pM solution. At this can rate (0.1 V/s), the AFp is ca. 100 mV and is ca. 0.50 pA. The Zp /z ratio is near 1... 

Step 3 The heart of calculation in ALM is a fuzzy interpolation and curve fitting method which is entitled IDS (Ink Drop Sptread). The IDS searches fuzzily for continuous possible paths on data planes. Assume that each data point on each x-y plane is a light source with a cone or pyramid shape illumination pattern. Therefore, with increase of distance of each data point, the intensity of light source decreases and goes toward zero. Also the illuminated patterns of different data points on each x-y plane are combined and new bright areas are formed. The IDS is exerted to each data point (pixel) on the normalized and discretized x-y planes. The radius of the base of cone or pyramid shape illumination pattern in each x-y plane is related to the positions of data in it. The radius increases until the all of the domain of variable in x-y plane be illuminated Figures 2c and 2d show the created illumination pattern (IL values) after the combination of the illumination patterns of different points in xi-y and X2-y planes, respectively. Here, pyramid shape illumination pattern has been used. 

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